TSTP Solution File: SWV424-1.200 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV424-1.200 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 15:16:55 EDT 2022
% Result : Unsatisfiable 2.16s 1.65s
% Output : Proof 6.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV424-1.200 : TPTP v8.1.0. Released v3.5.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Sep 4 03:43:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 2.16/1.65 % SZS status Unsatisfiable
% 2.16/1.65 % SZS output start Proof
% 2.16/1.65 tff(node2_type, type, (
% 2.16/1.65 node2: ( $i * $i ) > $o)).
% 2.16/1.65 tff(s0_type, type, (
% 2.16/1.65 s0: $i)).
% 2.16/1.65 tff(s199_type, type, (
% 2.16/1.65 s199: $i)).
% 2.16/1.65 tff(trans_type, type, (
% 2.16/1.65 trans: ( $i * $i ) > $o)).
% 2.16/1.65 tff(s1_type, type, (
% 2.16/1.65 s1: $i)).
% 2.16/1.65 tff(m_main_v_request_type, type, (
% 2.16/1.65 m_main_v_request: $i > $o)).
% 2.16/1.65 tff(m_main_v_state_type, type, (
% 2.16/1.65 m_main_v_state: ( $i * $i ) > $o)).
% 2.16/1.65 tff(c_busy_type, type, (
% 2.16/1.65 c_busy: $i)).
% 2.16/1.65 tff(s3_type, type, (
% 2.16/1.65 s3: $i)).
% 2.16/1.65 tff(always3_type, type, (
% 2.16/1.65 always3: $i > $o)).
% 2.16/1.65 tff(s2_type, type, (
% 2.16/1.65 s2: $i)).
% 2.16/1.65 tff(succ_type, type, (
% 2.16/1.65 succ: ( $i * $i ) > $o)).
% 2.16/1.65 tff(s19_type, type, (
% 2.16/1.65 s19: $i)).
% 2.16/1.65 tff(xuntil6_type, type, (
% 2.16/1.65 xuntil6: $i > $o)).
% 2.16/1.65 tff(node4_type, type, (
% 2.16/1.65 node4: $i > $o)).
% 2.16/1.65 tff(until5_type, type, (
% 2.16/1.65 until5: $i > $o)).
% 2.16/1.65 tff(s198_type, type, (
% 2.16/1.65 s198: $i)).
% 2.16/1.65 tff(s197_type, type, (
% 2.16/1.65 s197: $i)).
% 2.16/1.65 tff(s196_type, type, (
% 2.16/1.65 s196: $i)).
% 2.16/1.65 tff(s195_type, type, (
% 2.16/1.65 s195: $i)).
% 2.16/1.65 tff(s189_type, type, (
% 2.16/1.65 s189: $i)).
% 2.16/1.65 tff(s188_type, type, (
% 2.16/1.65 s188: $i)).
% 2.16/1.65 tff(s187_type, type, (
% 2.16/1.65 s187: $i)).
% 2.16/1.65 tff(s186_type, type, (
% 2.16/1.65 s186: $i)).
% 2.16/1.65 tff(s185_type, type, (
% 2.16/1.65 s185: $i)).
% 2.16/1.65 tff(s184_type, type, (
% 2.16/1.65 s184: $i)).
% 2.16/1.65 tff(s183_type, type, (
% 2.16/1.65 s183: $i)).
% 2.16/1.65 tff(s182_type, type, (
% 2.16/1.65 s182: $i)).
% 2.16/1.65 tff(s181_type, type, (
% 2.16/1.65 s181: $i)).
% 2.16/1.65 tff(s175_type, type, (
% 2.16/1.65 s175: $i)).
% 2.16/1.65 tff(s174_type, type, (
% 2.16/1.65 s174: $i)).
% 2.16/1.65 tff(s173_type, type, (
% 2.16/1.65 s173: $i)).
% 2.16/1.65 tff(s164_type, type, (
% 2.16/1.65 s164: $i)).
% 2.16/1.65 tff(s163_type, type, (
% 2.16/1.65 s163: $i)).
% 2.16/1.65 tff(s162_type, type, (
% 2.16/1.65 s162: $i)).
% 2.16/1.65 tff(s161_type, type, (
% 2.16/1.65 s161: $i)).
% 2.16/1.65 tff(s133_type, type, (
% 2.16/1.65 s133: $i)).
% 2.16/1.65 tff(s132_type, type, (
% 2.16/1.65 s132: $i)).
% 2.16/1.65 tff(s111_type, type, (
% 2.16/1.65 s111: $i)).
% 2.16/1.65 tff(s110_type, type, (
% 2.16/1.65 s110: $i)).
% 2.16/1.65 tff(s109_type, type, (
% 2.16/1.65 s109: $i)).
% 2.16/1.65 tff(s108_type, type, (
% 2.16/1.65 s108: $i)).
% 2.16/1.65 tff(s107_type, type, (
% 2.16/1.65 s107: $i)).
% 2.16/1.65 tff(s106_type, type, (
% 2.16/1.65 s106: $i)).
% 2.16/1.65 tff(s105_type, type, (
% 2.16/1.65 s105: $i)).
% 2.16/1.65 tff(s104_type, type, (
% 2.16/1.65 s104: $i)).
% 2.16/1.65 tff(s103_type, type, (
% 2.16/1.65 s103: $i)).
% 2.16/1.65 tff(s102_type, type, (
% 2.16/1.65 s102: $i)).
% 2.16/1.65 tff(s101_type, type, (
% 2.16/1.65 s101: $i)).
% 2.16/1.65 tff(s91_type, type, (
% 2.16/1.65 s91: $i)).
% 2.16/1.65 tff(s90_type, type, (
% 2.16/1.65 s90: $i)).
% 2.16/1.65 tff(s89_type, type, (
% 2.16/1.65 s89: $i)).
% 2.16/1.65 tff(s88_type, type, (
% 2.16/1.65 s88: $i)).
% 2.16/1.65 tff(s75_type, type, (
% 2.16/1.65 s75: $i)).
% 2.16/1.65 tff(s74_type, type, (
% 2.16/1.65 s74: $i)).
% 2.16/1.65 tff(s73_type, type, (
% 2.16/1.65 s73: $i)).
% 2.16/1.65 tff(s72_type, type, (
% 2.16/1.65 s72: $i)).
% 2.16/1.65 tff(s71_type, type, (
% 2.16/1.65 s71: $i)).
% 2.16/1.65 tff(s70_type, type, (
% 2.16/1.65 s70: $i)).
% 2.16/1.65 tff(s69_type, type, (
% 2.16/1.65 s69: $i)).
% 2.16/1.65 tff(s68_type, type, (
% 2.16/1.65 s68: $i)).
% 2.16/1.65 tff(s67_type, type, (
% 2.16/1.65 s67: $i)).
% 2.16/1.65 tff(s65_type, type, (
% 2.16/1.65 s65: $i)).
% 2.16/1.65 tff(s64_type, type, (
% 2.16/1.65 s64: $i)).
% 2.16/1.65 tff(s63_type, type, (
% 2.16/1.65 s63: $i)).
% 2.16/1.65 tff(s62_type, type, (
% 2.16/1.65 s62: $i)).
% 2.16/1.65 tff(s61_type, type, (
% 2.16/1.65 s61: $i)).
% 2.16/1.65 tff(s60_type, type, (
% 2.16/1.65 s60: $i)).
% 2.16/1.65 tff(s59_type, type, (
% 2.16/1.65 s59: $i)).
% 2.16/1.65 tff(s55_type, type, (
% 2.16/1.65 s55: $i)).
% 2.16/1.65 tff(s54_type, type, (
% 2.16/1.65 s54: $i)).
% 2.16/1.65 tff(s53_type, type, (
% 2.16/1.65 s53: $i)).
% 2.16/1.65 tff(s52_type, type, (
% 2.16/1.65 s52: $i)).
% 2.16/1.65 tff(s49_type, type, (
% 2.16/1.65 s49: $i)).
% 2.16/1.65 tff(s48_type, type, (
% 2.16/1.65 s48: $i)).
% 2.16/1.65 tff(s47_type, type, (
% 2.16/1.65 s47: $i)).
% 2.16/1.65 tff(s46_type, type, (
% 2.16/1.65 s46: $i)).
% 2.16/1.65 tff(s45_type, type, (
% 2.16/1.65 s45: $i)).
% 2.16/1.65 tff(s44_type, type, (
% 2.16/1.65 s44: $i)).
% 2.16/1.65 tff(s42_type, type, (
% 2.16/1.65 s42: $i)).
% 2.16/1.65 tff(s41_type, type, (
% 2.16/1.65 s41: $i)).
% 2.16/1.65 tff(s43_type, type, (
% 2.16/1.65 s43: $i)).
% 2.16/1.65 tff(s40_type, type, (
% 2.16/1.65 s40: $i)).
% 2.16/1.65 tff(c_ready_type, type, (
% 2.16/1.65 c_ready: $i)).
% 2.16/1.65 tff(s39_type, type, (
% 2.16/1.65 s39: $i)).
% 2.16/1.65 tff(s38_type, type, (
% 2.16/1.65 s38: $i)).
% 2.16/1.65 tff(s16_type, type, (
% 2.16/1.65 s16: $i)).
% 2.16/1.65 tff(s15_type, type, (
% 2.16/1.65 s15: $i)).
% 2.16/1.65 tff(s14_type, type, (
% 2.16/1.65 s14: $i)).
% 2.16/1.65 tff(s8_type, type, (
% 2.16/1.65 s8: $i)).
% 2.16/1.65 tff(s9_type, type, (
% 2.16/1.65 s9: $i)).
% 2.16/1.65 tff(s10_type, type, (
% 2.16/1.65 s10: $i)).
% 2.16/1.65 tff(s11_type, type, (
% 2.16/1.65 s11: $i)).
% 2.16/1.65 tff(s12_type, type, (
% 2.16/1.65 s12: $i)).
% 2.16/1.65 tff(s13_type, type, (
% 2.16/1.65 s13: $i)).
% 2.16/1.65 tff(s7_type, type, (
% 2.16/1.65 s7: $i)).
% 2.16/1.65 tff(s6_type, type, (
% 2.16/1.65 s6: $i)).
% 2.16/1.65 tff(s5_type, type, (
% 2.16/1.65 s5: $i)).
% 2.16/1.65 tff(s4_type, type, (
% 2.16/1.65 s4: $i)).
% 2.16/1.65 tff(s31_type, type, (
% 2.16/1.65 s31: $i)).
% 2.16/1.65 tff(s30_type, type, (
% 2.16/1.65 s30: $i)).
% 2.16/1.65 tff(s29_type, type, (
% 2.16/1.65 s29: $i)).
% 2.16/1.65 tff(s28_type, type, (
% 2.16/1.65 s28: $i)).
% 2.16/1.65 tff(s27_type, type, (
% 2.16/1.65 s27: $i)).
% 2.16/1.65 tff(s26_type, type, (
% 2.16/1.65 s26: $i)).
% 2.16/1.65 tff(s25_type, type, (
% 2.16/1.65 s25: $i)).
% 2.16/1.65 tff(s23_type, type, (
% 2.16/1.65 s23: $i)).
% 2.16/1.65 tff(s22_type, type, (
% 2.16/1.65 s22: $i)).
% 2.16/1.65 tff(s21_type, type, (
% 2.16/1.65 s21: $i)).
% 2.16/1.65 tff(s20_type, type, (
% 2.16/1.65 s20: $i)).
% 2.16/1.65 tff(s18_type, type, (
% 2.16/1.65 s18: $i)).
% 2.16/1.65 tff(s17_type, type, (
% 2.16/1.65 s17: $i)).
% 2.16/1.65 tff(s24_type, type, (
% 2.16/1.65 s24: $i)).
% 2.16/1.65 tff(node1_type, type, (
% 2.16/1.65 node1: $i > $o)).
% 2.16/1.65 tff(s32_type, type, (
% 2.16/1.65 s32: $i)).
% 2.16/1.65 tff(s37_type, type, (
% 2.16/1.65 s37: $i)).
% 2.16/1.65 tff(s33_type, type, (
% 2.16/1.65 s33: $i)).
% 2.16/1.65 tff(s34_type, type, (
% 2.16/1.65 s34: $i)).
% 2.16/1.65 tff(s35_type, type, (
% 2.16/1.65 s35: $i)).
% 2.16/1.65 tff(s36_type, type, (
% 2.16/1.65 s36: $i)).
% 2.16/1.65 tff(s190_type, type, (
% 2.16/1.65 s190: $i)).
% 2.16/1.65 tff(s191_type, type, (
% 2.16/1.65 s191: $i)).
% 2.16/1.65 tff(s192_type, type, (
% 2.16/1.65 s192: $i)).
% 2.16/1.65 tff(s193_type, type, (
% 2.16/1.65 s193: $i)).
% 2.16/1.65 tff(s194_type, type, (
% 2.16/1.65 s194: $i)).
% 2.16/1.65 tff(s180_type, type, (
% 2.16/1.65 s180: $i)).
% 2.16/1.65 tff(s176_type, type, (
% 2.16/1.65 s176: $i)).
% 2.16/1.65 tff(s177_type, type, (
% 2.16/1.65 s177: $i)).
% 2.16/1.65 tff(s178_type, type, (
% 2.16/1.65 s178: $i)).
% 2.16/1.65 tff(s179_type, type, (
% 2.16/1.65 s179: $i)).
% 2.16/1.65 tff(s128_type, type, (
% 2.16/1.65 s128: $i)).
% 2.16/1.65 tff(s129_type, type, (
% 2.16/1.65 s129: $i)).
% 2.16/1.65 tff(s130_type, type, (
% 2.16/1.65 s130: $i)).
% 2.16/1.65 tff(s131_type, type, (
% 2.16/1.65 s131: $i)).
% 2.16/1.65 tff(s134_type, type, (
% 2.16/1.65 s134: $i)).
% 2.16/1.65 tff(s135_type, type, (
% 2.16/1.65 s135: $i)).
% 2.16/1.65 tff(s136_type, type, (
% 2.16/1.65 s136: $i)).
% 2.16/1.65 tff(s137_type, type, (
% 2.16/1.65 s137: $i)).
% 2.16/1.65 tff(s138_type, type, (
% 2.16/1.65 s138: $i)).
% 2.16/1.65 tff(s139_type, type, (
% 2.16/1.65 s139: $i)).
% 2.16/1.65 tff(s140_type, type, (
% 2.16/1.65 s140: $i)).
% 2.16/1.65 tff(s141_type, type, (
% 2.16/1.65 s141: $i)).
% 2.16/1.65 tff(s142_type, type, (
% 2.16/1.65 s142: $i)).
% 2.16/1.65 tff(s143_type, type, (
% 2.16/1.65 s143: $i)).
% 2.16/1.65 tff(s144_type, type, (
% 2.16/1.65 s144: $i)).
% 2.16/1.65 tff(s145_type, type, (
% 2.16/1.65 s145: $i)).
% 2.16/1.65 tff(s146_type, type, (
% 2.16/1.65 s146: $i)).
% 2.16/1.65 tff(s147_type, type, (
% 2.16/1.65 s147: $i)).
% 2.16/1.65 tff(s148_type, type, (
% 2.16/1.65 s148: $i)).
% 2.16/1.65 tff(s149_type, type, (
% 2.16/1.65 s149: $i)).
% 2.16/1.65 tff(s150_type, type, (
% 2.16/1.65 s150: $i)).
% 2.16/1.65 tff(s151_type, type, (
% 2.16/1.65 s151: $i)).
% 2.16/1.65 tff(s152_type, type, (
% 2.16/1.65 s152: $i)).
% 2.16/1.65 tff(s153_type, type, (
% 2.16/1.65 s153: $i)).
% 2.16/1.65 tff(s154_type, type, (
% 2.16/1.65 s154: $i)).
% 2.16/1.65 tff(s155_type, type, (
% 2.16/1.65 s155: $i)).
% 2.16/1.65 tff(s156_type, type, (
% 2.16/1.65 s156: $i)).
% 2.16/1.65 tff(s157_type, type, (
% 2.16/1.65 s157: $i)).
% 2.16/1.65 tff(s158_type, type, (
% 2.16/1.65 s158: $i)).
% 2.16/1.65 tff(s159_type, type, (
% 2.16/1.65 s159: $i)).
% 2.16/1.65 tff(s160_type, type, (
% 2.16/1.65 s160: $i)).
% 2.16/1.65 tff(s165_type, type, (
% 2.16/1.65 s165: $i)).
% 2.16/1.65 tff(s166_type, type, (
% 2.16/1.65 s166: $i)).
% 2.16/1.65 tff(s167_type, type, (
% 2.16/1.65 s167: $i)).
% 2.16/1.65 tff(s168_type, type, (
% 2.16/1.65 s168: $i)).
% 2.16/1.65 tff(s169_type, type, (
% 2.16/1.65 s169: $i)).
% 2.16/1.65 tff(s170_type, type, (
% 2.16/1.65 s170: $i)).
% 2.16/1.65 tff(s171_type, type, (
% 2.16/1.65 s171: $i)).
% 2.16/1.65 tff(s172_type, type, (
% 2.16/1.65 s172: $i)).
% 2.16/1.65 tff(s127_type, type, (
% 2.16/1.65 s127: $i)).
% 2.16/1.65 tff(s126_type, type, (
% 2.16/1.65 s126: $i)).
% 2.16/1.65 tff(s125_type, type, (
% 2.16/1.65 s125: $i)).
% 2.16/1.65 tff(s124_type, type, (
% 2.16/1.65 s124: $i)).
% 2.16/1.65 tff(s123_type, type, (
% 2.16/1.65 s123: $i)).
% 2.16/1.65 tff(s122_type, type, (
% 2.16/1.65 s122: $i)).
% 2.16/1.65 tff(s121_type, type, (
% 2.16/1.65 s121: $i)).
% 2.16/1.65 tff(s120_type, type, (
% 2.16/1.65 s120: $i)).
% 2.16/1.65 tff(s119_type, type, (
% 2.16/1.65 s119: $i)).
% 2.16/1.65 tff(s118_type, type, (
% 2.16/1.65 s118: $i)).
% 2.16/1.65 tff(s117_type, type, (
% 2.16/1.65 s117: $i)).
% 2.16/1.65 tff(s116_type, type, (
% 2.16/1.65 s116: $i)).
% 2.16/1.65 tff(s115_type, type, (
% 2.16/1.65 s115: $i)).
% 2.16/1.65 tff(s114_type, type, (
% 2.16/1.65 s114: $i)).
% 2.16/1.65 tff(s113_type, type, (
% 2.16/1.65 s113: $i)).
% 2.16/1.65 tff(s112_type, type, (
% 2.16/1.65 s112: $i)).
% 2.16/1.65 tff(s50_type, type, (
% 2.16/1.65 s50: $i)).
% 2.16/1.65 tff(s51_type, type, (
% 2.16/1.65 s51: $i)).
% 2.16/1.65 tff(s56_type, type, (
% 2.16/1.65 s56: $i)).
% 2.16/1.65 tff(s57_type, type, (
% 2.16/1.65 s57: $i)).
% 2.16/1.65 tff(s58_type, type, (
% 2.16/1.65 s58: $i)).
% 2.16/1.65 tff(s66_type, type, (
% 2.16/1.65 s66: $i)).
% 2.16/1.65 tff(s76_type, type, (
% 2.16/1.65 s76: $i)).
% 2.16/1.65 tff(s77_type, type, (
% 2.16/1.65 s77: $i)).
% 2.16/1.65 tff(s78_type, type, (
% 2.16/1.65 s78: $i)).
% 2.16/1.65 tff(s79_type, type, (
% 2.16/1.65 s79: $i)).
% 2.16/1.65 tff(s80_type, type, (
% 2.16/1.65 s80: $i)).
% 2.16/1.65 tff(s81_type, type, (
% 2.16/1.65 s81: $i)).
% 2.16/1.65 tff(s82_type, type, (
% 2.16/1.65 s82: $i)).
% 2.16/1.65 tff(s83_type, type, (
% 2.16/1.65 s83: $i)).
% 2.16/1.65 tff(s84_type, type, (
% 2.16/1.65 s84: $i)).
% 2.16/1.65 tff(s85_type, type, (
% 2.16/1.65 s85: $i)).
% 2.16/1.65 tff(s86_type, type, (
% 2.16/1.65 s86: $i)).
% 2.16/1.65 tff(s87_type, type, (
% 2.16/1.65 s87: $i)).
% 2.16/1.65 tff(s92_type, type, (
% 2.16/1.65 s92: $i)).
% 2.16/1.65 tff(s93_type, type, (
% 2.16/1.65 s93: $i)).
% 2.16/1.65 tff(s94_type, type, (
% 2.16/1.65 s94: $i)).
% 2.16/1.65 tff(s95_type, type, (
% 2.16/1.65 s95: $i)).
% 2.16/1.65 tff(s96_type, type, (
% 2.16/1.65 s96: $i)).
% 2.16/1.65 tff(s97_type, type, (
% 2.16/1.65 s97: $i)).
% 2.16/1.65 tff(s98_type, type, (
% 2.16/1.65 s98: $i)).
% 2.16/1.65 tff(s99_type, type, (
% 2.16/1.65 s99: $i)).
% 2.16/1.65 tff(s100_type, type, (
% 2.16/1.65 s100: $i)).
% 2.16/1.65 tff(until2p7_type, type, (
% 2.16/1.65 until2p7: $i > $o)).
% 2.16/1.65 tff(xuntil2p8_type, type, (
% 2.16/1.65 xuntil2p8: $i > $o)).
% 2.16/1.65 tff(last_type, type, (
% 2.16/1.65 last: $i > $o)).
% 2.16/1.65 tff(loop_type, type, (
% 2.16/1.65 loop: $o)).
% 2.16/1.65 tff(1,plain,
% 2.16/1.65 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node2(X, Y)) <=> ((~trans(X, Y)) | node2(X, Y)))),
% 2.16/1.65 inference(bind,[status(th)],[])).
% 2.16/1.65 tff(2,plain,
% 2.16/1.65 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 2.16/1.65 inference(quant_intro,[status(thm)],[1])).
% 2.16/1.65 tff(3,plain,
% 2.16/1.65 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(4,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_8')).
% 2.16/1.65 tff(5,plain,
% 2.16/1.65 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[4, 3])).
% 2.16/1.65 tff(6,plain,(
% 2.16/1.65 ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 2.16/1.65 inference(skolemize,[status(sab)],[5])).
% 2.16/1.65 tff(7,plain,
% 2.16/1.65 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[6, 2])).
% 2.16/1.65 tff(8,assumption,(trans(s199, s1)), introduced(assumption)).
% 2.16/1.65 tff(9,plain,
% 2.16/1.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s1)) | node2(s199, s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s1)) | node2(s199, s1))),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(10,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s1)) | node2(s199, s1))),
% 2.16/1.65 inference(quant_inst,[status(thm)],[])).
% 2.16/1.65 tff(11,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s1)) | node2(s199, s1)),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[10, 9])).
% 2.16/1.65 tff(12,plain,
% 2.16/1.65 (node2(s199, s1)),
% 2.16/1.65 inference(unit_resolution,[status(thm)],[11, 8, 7])).
% 2.16/1.65 tff(13,assumption,(~m_main_v_request(s199)), introduced(assumption)).
% 2.16/1.65 tff(14,assumption,(~always3(s3)), introduced(assumption)).
% 2.16/1.65 tff(15,plain,
% 2.16/1.65 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 2.16/1.65 inference(bind,[status(th)],[])).
% 2.16/1.65 tff(16,plain,
% 2.16/1.65 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 2.16/1.65 inference(quant_intro,[status(thm)],[15])).
% 2.16/1.65 tff(17,plain,
% 2.16/1.65 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(18,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound201')).
% 2.16/1.65 tff(19,plain,
% 2.16/1.65 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[18, 17])).
% 2.16/1.65 tff(20,plain,(
% 2.16/1.65 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 2.16/1.65 inference(skolemize,[status(sab)],[19])).
% 2.16/1.65 tff(21,plain,
% 2.16/1.65 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[20, 16])).
% 2.16/1.65 tff(22,plain,
% 2.16/1.65 (succ(s2, s3) <=> succ(s2, s3)),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(23,axiom,(succ(s2, s3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound3')).
% 2.16/1.65 tff(24,plain,
% 2.16/1.65 (succ(s2, s3)),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[23, 22])).
% 2.16/1.65 tff(25,plain,
% 2.16/1.65 (((~![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))),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(26,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 2.16/1.65 inference(quant_inst,[status(thm)],[])).
% 2.16/1.65 tff(27,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[26, 25])).
% 2.16/1.65 tff(28,plain,
% 2.16/1.65 (trans(s2, s3)),
% 2.16/1.65 inference(unit_resolution,[status(thm)],[27, 24, 21])).
% 2.16/1.65 tff(29,plain,
% 2.16/1.65 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ((~trans(X, Y)) | (~always3(X)) | always3(Y)))),
% 2.16/1.65 inference(bind,[status(th)],[])).
% 2.16/1.65 tff(30,plain,
% 2.16/1.65 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 2.16/1.65 inference(quant_intro,[status(thm)],[29])).
% 2.16/1.65 tff(31,plain,
% 2.16/1.65 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(32,plain,
% 2.16/1.65 (^[Y: $i, X: $i] : rewrite(((always3(Y) | (~trans(X, Y))) | (~always3(X))) <=> ((~trans(X, Y)) | (~always3(X)) | always3(Y)))),
% 2.16/1.65 inference(bind,[status(th)],[])).
% 2.16/1.65 tff(33,plain,
% 2.16/1.65 (![Y: $i, X: $i] : ((always3(Y) | (~trans(X, Y))) | (~always3(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 2.16/1.65 inference(quant_intro,[status(thm)],[32])).
% 2.16/1.65 tff(34,axiom,(![Y: $i, X: $i] : ((always3(Y) | (~trans(X, Y))) | (~always3(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty2')).
% 2.16/1.65 tff(35,plain,
% 2.16/1.65 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[34, 33])).
% 2.16/1.65 tff(36,plain,
% 2.16/1.65 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[35, 31])).
% 2.16/1.65 tff(37,plain,(
% 2.16/1.65 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 2.16/1.65 inference(skolemize,[status(sab)],[36])).
% 2.16/1.65 tff(38,plain,
% 2.16/1.65 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[37, 30])).
% 2.16/1.65 tff(39,plain,
% 2.16/1.65 (((~![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))),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(40,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s2, s3)) | (~always3(s2)) | always3(s3))),
% 2.16/1.65 inference(quant_inst,[status(thm)],[])).
% 2.16/1.65 tff(41,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s2, s3)) | (~always3(s2)) | always3(s3)),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[40, 39])).
% 2.16/1.65 tff(42,plain,
% 2.16/1.65 ((~always3(s2)) | always3(s3)),
% 2.16/1.65 inference(unit_resolution,[status(thm)],[41, 38, 28])).
% 2.16/1.65 tff(43,plain,
% 2.16/1.65 (~always3(s2)),
% 2.16/1.65 inference(unit_resolution,[status(thm)],[42, 14])).
% 2.16/1.65 tff(44,plain,
% 2.16/1.65 (succ(s1, s2) <=> succ(s1, s2)),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(45,axiom,(succ(s1, s2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound2')).
% 2.16/1.65 tff(46,plain,
% 2.16/1.65 (succ(s1, s2)),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[45, 44])).
% 2.16/1.65 tff(47,plain,
% 2.16/1.65 (((~![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))),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(48,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 2.16/1.65 inference(quant_inst,[status(thm)],[])).
% 2.16/1.65 tff(49,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[48, 47])).
% 2.16/1.65 tff(50,plain,
% 2.16/1.65 (trans(s1, s2)),
% 2.16/1.65 inference(unit_resolution,[status(thm)],[49, 46, 21])).
% 2.16/1.65 tff(51,plain,
% 2.16/1.65 (((~![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))),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(52,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s1, s2)) | (~always3(s1)) | always3(s2))),
% 2.16/1.65 inference(quant_inst,[status(thm)],[])).
% 2.16/1.65 tff(53,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s1, s2)) | (~always3(s1)) | always3(s2)),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[52, 51])).
% 2.16/1.65 tff(54,plain,
% 2.16/1.65 ((~always3(s1)) | always3(s2)),
% 2.16/1.65 inference(unit_resolution,[status(thm)],[53, 38, 50])).
% 2.16/1.65 tff(55,plain,
% 2.16/1.65 (~always3(s1)),
% 2.16/1.65 inference(unit_resolution,[status(thm)],[54, 43])).
% 2.16/1.65 tff(56,assumption,(node4(s199)), introduced(assumption)).
% 2.16/1.65 tff(57,plain,
% 2.16/1.65 (^[X: $i] : refl((m_main_v_request(X) | (~node4(X))) <=> (m_main_v_request(X) | (~node4(X))))),
% 2.16/1.65 inference(bind,[status(th)],[])).
% 2.16/1.65 tff(58,plain,
% 2.16/1.65 (![X: $i] : (m_main_v_request(X) | (~node4(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 2.16/1.65 inference(quant_intro,[status(thm)],[57])).
% 2.16/1.65 tff(59,plain,
% 2.16/1.65 (![X: $i] : (m_main_v_request(X) | (~node4(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(60,axiom,(![X: $i] : (m_main_v_request(X) | (~node4(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty4')).
% 2.16/1.65 tff(61,plain,
% 2.16/1.65 (![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[60, 59])).
% 2.16/1.65 tff(62,plain,(
% 2.16/1.65 ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 2.16/1.65 inference(skolemize,[status(sab)],[61])).
% 2.16/1.65 tff(63,plain,
% 2.16/1.65 (![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[62, 58])).
% 2.16/1.65 tff(64,plain,
% 2.16/1.65 (((~![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)))),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(65,plain,
% 2.16/1.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s199) | (~node4(s199)))),
% 2.16/1.65 inference(quant_inst,[status(thm)],[])).
% 2.16/1.65 tff(66,plain,
% 2.16/1.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s199) | (~node4(s199))),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[65, 64])).
% 2.16/1.65 tff(67,plain,
% 2.16/1.65 ($false),
% 2.16/1.65 inference(unit_resolution,[status(thm)],[66, 63, 56, 13])).
% 2.16/1.65 tff(68,plain,((~node4(s199)) | m_main_v_request(s199)), inference(lemma,lemma(discharge,[]))).
% 2.16/1.65 tff(69,plain,
% 2.16/1.65 (~node4(s199)),
% 2.16/1.65 inference(unit_resolution,[status(thm)],[68, 13])).
% 2.16/1.65 tff(70,assumption,(~always3(s44)), introduced(assumption)).
% 2.16/1.65 tff(71,plain,
% 2.16/1.65 (succ(s43, s44) <=> succ(s43, s44)),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(72,axiom,(succ(s43, s44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound44')).
% 2.16/1.65 tff(73,plain,
% 2.16/1.65 (succ(s43, s44)),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[72, 71])).
% 2.16/1.65 tff(74,plain,
% 2.16/1.65 (((~![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))),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(75,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))),
% 2.16/1.65 inference(quant_inst,[status(thm)],[])).
% 2.16/1.65 tff(76,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44)),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[75, 74])).
% 2.16/1.65 tff(77,plain,
% 2.16/1.65 (trans(s43, s44)),
% 2.16/1.65 inference(unit_resolution,[status(thm)],[76, 73, 21])).
% 2.16/1.65 tff(78,plain,
% 2.16/1.65 (((~![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))),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(79,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s43, s44)) | (~always3(s43)) | always3(s44))),
% 2.16/1.65 inference(quant_inst,[status(thm)],[])).
% 2.16/1.65 tff(80,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s43, s44)) | (~always3(s43)) | always3(s44)),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[79, 78])).
% 2.16/1.65 tff(81,plain,
% 2.16/1.65 ((~always3(s43)) | always3(s44)),
% 2.16/1.65 inference(unit_resolution,[status(thm)],[80, 38, 77])).
% 2.16/1.65 tff(82,plain,
% 2.16/1.65 (~always3(s43)),
% 2.16/1.65 inference(unit_resolution,[status(thm)],[81, 70])).
% 2.16/1.65 tff(83,plain,
% 2.16/1.65 (succ(s42, s43) <=> succ(s42, s43)),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(84,axiom,(succ(s42, s43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound43')).
% 2.16/1.65 tff(85,plain,
% 2.16/1.65 (succ(s42, s43)),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[84, 83])).
% 2.16/1.65 tff(86,plain,
% 2.16/1.65 (((~![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))),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(87,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))),
% 2.16/1.65 inference(quant_inst,[status(thm)],[])).
% 2.16/1.65 tff(88,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43)),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[87, 86])).
% 2.16/1.65 tff(89,plain,
% 2.16/1.65 (trans(s42, s43)),
% 2.16/1.65 inference(unit_resolution,[status(thm)],[88, 85, 21])).
% 2.16/1.65 tff(90,plain,
% 2.16/1.65 (((~![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))),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(91,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s42, s43)) | (~always3(s42)) | always3(s43))),
% 2.16/1.65 inference(quant_inst,[status(thm)],[])).
% 2.16/1.65 tff(92,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s42, s43)) | (~always3(s42)) | always3(s43)),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[91, 90])).
% 2.16/1.65 tff(93,plain,
% 2.16/1.65 ((~always3(s42)) | always3(s43)),
% 2.16/1.65 inference(unit_resolution,[status(thm)],[92, 38, 89])).
% 2.16/1.65 tff(94,plain,
% 2.16/1.65 (~always3(s42)),
% 2.16/1.65 inference(unit_resolution,[status(thm)],[93, 82])).
% 2.16/1.65 tff(95,plain,
% 2.16/1.65 (succ(s41, s42) <=> succ(s41, s42)),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(96,axiom,(succ(s41, s42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound42')).
% 2.16/1.65 tff(97,plain,
% 2.16/1.65 (succ(s41, s42)),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[96, 95])).
% 2.16/1.65 tff(98,plain,
% 2.16/1.65 (((~![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))),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(99,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))),
% 2.16/1.65 inference(quant_inst,[status(thm)],[])).
% 2.16/1.65 tff(100,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42)),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[99, 98])).
% 2.16/1.65 tff(101,plain,
% 2.16/1.65 (trans(s41, s42)),
% 2.16/1.65 inference(unit_resolution,[status(thm)],[100, 97, 21])).
% 2.16/1.65 tff(102,plain,
% 2.16/1.65 (((~![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))),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(103,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s41, s42)) | (~always3(s41)) | always3(s42))),
% 2.16/1.65 inference(quant_inst,[status(thm)],[])).
% 2.16/1.65 tff(104,plain,
% 2.16/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s41, s42)) | (~always3(s41)) | always3(s42)),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[103, 102])).
% 2.16/1.65 tff(105,plain,
% 2.16/1.65 ((~always3(s41)) | always3(s42)),
% 2.16/1.65 inference(unit_resolution,[status(thm)],[104, 38, 101])).
% 2.16/1.65 tff(106,plain,
% 2.16/1.65 (~always3(s41)),
% 2.16/1.65 inference(unit_resolution,[status(thm)],[105, 94])).
% 2.16/1.65 tff(107,plain,
% 2.16/1.65 (^[X: $i] : refl((always3(X) | (~node4(X))) <=> (always3(X) | (~node4(X))))),
% 2.16/1.65 inference(bind,[status(th)],[])).
% 2.16/1.65 tff(108,plain,
% 2.16/1.65 (![X: $i] : (always3(X) | (~node4(X))) <=> ![X: $i] : (always3(X) | (~node4(X)))),
% 2.16/1.65 inference(quant_intro,[status(thm)],[107])).
% 2.16/1.65 tff(109,plain,
% 2.16/1.65 (![X: $i] : (always3(X) | (~node4(X))) <=> ![X: $i] : (always3(X) | (~node4(X)))),
% 2.16/1.65 inference(rewrite,[status(thm)],[])).
% 2.16/1.65 tff(110,axiom,(![X: $i] : (always3(X) | (~node4(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty5')).
% 2.16/1.65 tff(111,plain,
% 2.16/1.65 (![X: $i] : (always3(X) | (~node4(X)))),
% 2.16/1.65 inference(modus_ponens,[status(thm)],[110, 109])).
% 2.16/1.65 tff(112,plain,(
% 2.16/1.65 ![X: $i] : (always3(X) | (~node4(X)))),
% 2.16/1.66 inference(skolemize,[status(sab)],[111])).
% 2.16/1.66 tff(113,plain,
% 2.16/1.66 (![X: $i] : (always3(X) | (~node4(X)))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[112, 108])).
% 2.16/1.66 tff(114,plain,
% 2.16/1.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s41) | (~node4(s41)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s41) | (~node4(s41)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(115,plain,
% 2.16/1.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s41) | (~node4(s41)))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(116,plain,
% 2.16/1.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s41) | (~node4(s41))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[115, 114])).
% 2.16/1.66 tff(117,plain,
% 2.16/1.66 (~node4(s41)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[116, 113, 106])).
% 2.16/1.66 tff(118,assumption,(node4(s40)), introduced(assumption)).
% 2.16/1.66 tff(119,plain,
% 2.16/1.66 (((~![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)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(120,plain,
% 2.16/1.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s40) | (~node4(s40)))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(121,plain,
% 2.16/1.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s40) | (~node4(s40))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[120, 119])).
% 2.16/1.66 tff(122,plain,
% 2.16/1.66 (m_main_v_request(s40)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[121, 63, 118])).
% 2.16/1.66 tff(123,plain,
% 2.16/1.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s40) | (~node4(s40)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s40) | (~node4(s40)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(124,plain,
% 2.16/1.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s40) | (~node4(s40)))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(125,plain,
% 2.16/1.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s40) | (~node4(s40))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[124, 123])).
% 2.16/1.66 tff(126,plain,
% 2.16/1.66 (always3(s40)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[125, 113, 118])).
% 2.16/1.66 tff(127,plain,
% 2.16/1.66 (succ(s40, s41) <=> succ(s40, s41)),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(128,axiom,(succ(s40, s41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound41')).
% 2.16/1.66 tff(129,plain,
% 2.16/1.66 (succ(s40, s41)),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[128, 127])).
% 2.16/1.66 tff(130,plain,
% 2.16/1.66 (((~![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))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(131,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(132,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41)),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[131, 130])).
% 2.16/1.66 tff(133,plain,
% 2.16/1.66 (trans(s40, s41)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[132, 129, 21])).
% 2.16/1.66 tff(134,plain,
% 2.16/1.66 (((~![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))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(135,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s40, s41)) | (~always3(s40)) | always3(s41))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(136,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s40, s41)) | (~always3(s40)) | always3(s41)),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[135, 134])).
% 2.16/1.66 tff(137,plain,
% 2.16/1.66 ((~always3(s40)) | always3(s41)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[136, 38, 133])).
% 2.16/1.66 tff(138,plain,
% 2.16/1.66 (always3(s41)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[137, 126])).
% 2.16/1.66 tff(139,plain,
% 2.16/1.66 (^[X: $i] : refl(((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ((~m_main_v_state(X, c_busy)) | (~always3(X))))),
% 2.16/1.66 inference(bind,[status(th)],[])).
% 2.16/1.66 tff(140,plain,
% 2.16/1.66 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 2.16/1.66 inference(quant_intro,[status(thm)],[139])).
% 2.16/1.66 tff(141,plain,
% 2.16/1.66 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(142,axiom,(![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty1')).
% 2.16/1.66 tff(143,plain,
% 2.16/1.66 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[142, 141])).
% 2.16/1.66 tff(144,plain,(
% 2.16/1.66 ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 2.16/1.66 inference(skolemize,[status(sab)],[143])).
% 2.16/1.66 tff(145,plain,
% 2.16/1.66 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[144, 140])).
% 2.16/1.66 tff(146,plain,
% 2.16/1.66 (((~![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)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(147,plain,
% 2.16/1.66 (((~m_main_v_state(s41, c_busy)) | (~always3(s41))) <=> ((~always3(s41)) | (~m_main_v_state(s41, c_busy)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(148,plain,
% 2.16/1.66 (((~![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))))),
% 2.16/1.66 inference(monotonicity,[status(thm)],[147])).
% 2.16/1.66 tff(149,plain,
% 2.16/1.66 (((~![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)))),
% 2.16/1.66 inference(transitivity,[status(thm)],[148, 146])).
% 2.16/1.66 tff(150,plain,
% 2.16/1.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s41, c_busy)) | (~always3(s41)))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(151,plain,
% 2.16/1.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s41)) | (~m_main_v_state(s41, c_busy))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[150, 149])).
% 2.16/1.66 tff(152,plain,
% 2.16/1.66 (~m_main_v_state(s41, c_busy)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[151, 145, 138])).
% 2.16/1.66 tff(153,plain,
% 2.16/1.66 (((~![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))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(154,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s40, s41)) | node2(s40, s41))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(155,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s40, s41)) | node2(s40, s41)),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[154, 153])).
% 2.16/1.66 tff(156,plain,
% 2.16/1.66 (node2(s40, s41)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[155, 7, 133])).
% 2.16/1.66 tff(157,plain,
% 2.16/1.66 (^[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))))),
% 2.16/1.66 inference(bind,[status(th)],[])).
% 2.16/1.66 tff(158,plain,
% 2.16/1.66 (![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X))) <=> ![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 2.16/1.66 inference(quant_intro,[status(thm)],[157])).
% 2.16/1.66 tff(159,plain,
% 2.16/1.66 (![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X))) <=> ![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(160,plain,
% 2.16/1.66 (^[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)))))),
% 2.16/1.66 inference(bind,[status(th)],[])).
% 2.16/1.66 tff(161,plain,
% 2.16/1.66 (![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)))),
% 2.16/1.66 inference(quant_intro,[status(thm)],[160])).
% 2.16/1.66 tff(162,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) | m_main_v_state(Y, c_busy)) | (~node2(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_6')).
% 2.16/1.66 tff(163,plain,
% 2.16/1.66 (![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[162, 161])).
% 2.16/1.66 tff(164,plain,
% 2.16/1.66 (![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[163, 159])).
% 2.16/1.66 tff(165,plain,(
% 2.16/1.66 ![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 2.16/1.66 inference(skolemize,[status(sab)],[164])).
% 2.16/1.66 tff(166,plain,
% 2.16/1.66 (![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[165, 158])).
% 2.16/1.66 tff(167,plain,
% 2.16/1.66 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(168,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s40, c_ready)) | (~node2(s40, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40)))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(169,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s40, c_ready)) | (~node2(s40, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[168, 167])).
% 2.16/1.66 tff(170,plain,
% 2.16/1.66 ((~m_main_v_state(s40, c_ready)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40))),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[169, 166, 156])).
% 2.16/1.66 tff(171,plain,
% 2.16/1.66 (~m_main_v_state(s40, c_ready)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[170, 152, 122])).
% 2.16/1.66 tff(172,plain,
% 2.16/1.66 (((~![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)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(173,plain,
% 2.16/1.66 (((~m_main_v_state(s40, c_busy)) | (~always3(s40))) <=> ((~always3(s40)) | (~m_main_v_state(s40, c_busy)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(174,plain,
% 2.16/1.66 (((~![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))))),
% 2.16/1.66 inference(monotonicity,[status(thm)],[173])).
% 2.16/1.66 tff(175,plain,
% 2.16/1.66 (((~![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)))),
% 2.16/1.66 inference(transitivity,[status(thm)],[174, 172])).
% 2.16/1.66 tff(176,plain,
% 2.16/1.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s40, c_busy)) | (~always3(s40)))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(177,plain,
% 2.16/1.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s40)) | (~m_main_v_state(s40, c_busy))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[176, 175])).
% 2.16/1.66 tff(178,plain,
% 2.16/1.66 (~m_main_v_state(s40, c_busy)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[177, 145, 126])).
% 2.16/1.66 tff(179,plain,
% 2.16/1.66 (^[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)))),
% 2.16/1.66 inference(bind,[status(th)],[])).
% 2.16/1.66 tff(180,plain,
% 2.16/1.66 (![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))),
% 2.16/1.66 inference(quant_intro,[status(thm)],[179])).
% 2.16/1.66 tff(181,plain,
% 2.16/1.66 (![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))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(182,plain,
% 2.16/1.66 (^[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)))),
% 2.16/1.66 inference(bind,[status(th)],[])).
% 2.16/1.66 tff(183,plain,
% 2.16/1.66 (![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))),
% 2.16/1.66 inference(quant_intro,[status(thm)],[182])).
% 2.16/1.66 tff(184,axiom,(![X: $i] : (m_main_v_state(X, c_ready) | m_main_v_state(X, c_busy))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_1')).
% 2.16/1.66 tff(185,plain,
% 2.16/1.66 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[184, 183])).
% 2.16/1.66 tff(186,plain,
% 2.16/1.66 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[185, 181])).
% 2.16/1.66 tff(187,plain,(
% 2.16/1.66 ![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 2.16/1.66 inference(skolemize,[status(sab)],[186])).
% 2.16/1.66 tff(188,plain,
% 2.16/1.66 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[187, 180])).
% 2.16/1.66 tff(189,plain,
% 2.16/1.66 (((~![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))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(190,plain,
% 2.16/1.66 ((~![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))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(191,plain,
% 2.16/1.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s40, c_busy) | m_main_v_state(s40, c_ready)),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[190, 189])).
% 2.16/1.66 tff(192,plain,
% 2.16/1.66 ($false),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[191, 188, 178, 171])).
% 2.16/1.66 tff(193,plain,(~node4(s40)), inference(lemma,lemma(discharge,[]))).
% 2.16/1.66 tff(194,assumption,(~xuntil6(s15)), introduced(assumption)).
% 2.16/1.66 tff(195,assumption,(~always3(s15)), introduced(assumption)).
% 2.16/1.66 tff(196,plain,
% 2.16/1.66 (succ(s14, s15) <=> succ(s14, s15)),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(197,axiom,(succ(s14, s15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound15')).
% 2.16/1.66 tff(198,plain,
% 2.16/1.66 (succ(s14, s15)),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[197, 196])).
% 2.16/1.66 tff(199,plain,
% 2.16/1.66 (((~![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))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(200,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(201,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15)),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[200, 199])).
% 2.16/1.66 tff(202,plain,
% 2.16/1.66 (trans(s14, s15)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[201, 198, 21])).
% 2.16/1.66 tff(203,plain,
% 2.16/1.66 (((~![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))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(204,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s14, s15)) | (~always3(s14)) | always3(s15))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(205,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s14, s15)) | (~always3(s14)) | always3(s15)),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[204, 203])).
% 2.16/1.66 tff(206,plain,
% 2.16/1.66 ((~always3(s14)) | always3(s15)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[205, 38, 202])).
% 2.16/1.66 tff(207,plain,
% 2.16/1.66 (~always3(s14)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[206, 195])).
% 2.16/1.66 tff(208,plain,
% 2.16/1.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s14) | (~node4(s14)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s14) | (~node4(s14)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(209,plain,
% 2.16/1.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s14) | (~node4(s14)))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(210,plain,
% 2.16/1.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s14) | (~node4(s14))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[209, 208])).
% 2.16/1.66 tff(211,plain,
% 2.16/1.66 (~node4(s14)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[210, 113, 207])).
% 2.16/1.66 tff(212,plain,
% 2.16/1.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s15) | (~node4(s15)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s15) | (~node4(s15)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(213,plain,
% 2.16/1.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s15) | (~node4(s15)))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(214,plain,
% 2.16/1.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s15) | (~node4(s15))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[213, 212])).
% 2.16/1.66 tff(215,plain,
% 2.16/1.66 (~node4(s15)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[214, 113, 195])).
% 2.16/1.66 tff(216,plain,
% 2.16/1.66 (^[X: $i] : refl((node4(X) | (~until5(X)) | xuntil6(X)) <=> (node4(X) | (~until5(X)) | xuntil6(X)))),
% 2.16/1.66 inference(bind,[status(th)],[])).
% 2.16/1.66 tff(217,plain,
% 2.16/1.66 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X)) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 2.16/1.66 inference(quant_intro,[status(thm)],[216])).
% 2.16/1.66 tff(218,plain,
% 2.16/1.66 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X)) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(219,plain,
% 2.16/1.66 (^[X: $i] : rewrite(((node4(X) | xuntil6(X)) | (~until5(X))) <=> (node4(X) | (~until5(X)) | xuntil6(X)))),
% 2.16/1.66 inference(bind,[status(th)],[])).
% 2.16/1.66 tff(220,plain,
% 2.16/1.66 (![X: $i] : ((node4(X) | xuntil6(X)) | (~until5(X))) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 2.16/1.66 inference(quant_intro,[status(thm)],[219])).
% 2.16/1.66 tff(221,axiom,(![X: $i] : ((node4(X) | xuntil6(X)) | (~until5(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty6')).
% 2.16/1.66 tff(222,plain,
% 2.16/1.66 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[221, 220])).
% 2.16/1.66 tff(223,plain,
% 2.16/1.66 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[222, 218])).
% 2.16/1.66 tff(224,plain,(
% 2.16/1.66 ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 2.16/1.66 inference(skolemize,[status(sab)],[223])).
% 2.16/1.66 tff(225,plain,
% 2.16/1.66 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[224, 217])).
% 2.16/1.66 tff(226,plain,
% 2.16/1.66 (((~![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)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(227,plain,
% 2.16/1.66 ((node4(s15) | (~until5(s15)) | xuntil6(s15)) <=> (xuntil6(s15) | node4(s15) | (~until5(s15)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(228,plain,
% 2.16/1.66 (((~![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))))),
% 2.16/1.66 inference(monotonicity,[status(thm)],[227])).
% 2.16/1.66 tff(229,plain,
% 2.16/1.66 (((~![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)))),
% 2.16/1.66 inference(transitivity,[status(thm)],[228, 226])).
% 2.16/1.66 tff(230,plain,
% 2.16/1.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s15) | (~until5(s15)) | xuntil6(s15))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(231,plain,
% 2.16/1.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s15) | node4(s15) | (~until5(s15))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[230, 229])).
% 2.16/1.66 tff(232,plain,
% 2.16/1.66 (node4(s15) | (~until5(s15))),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[231, 225, 194])).
% 2.16/1.66 tff(233,plain,
% 2.16/1.66 (~until5(s15)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[232, 215])).
% 2.16/1.66 tff(234,plain,
% 2.16/1.66 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)) <=> ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)))),
% 2.16/1.66 inference(bind,[status(th)],[])).
% 2.16/1.66 tff(235,plain,
% 2.16/1.66 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 2.16/1.66 inference(quant_intro,[status(thm)],[234])).
% 2.16/1.66 tff(236,plain,
% 2.16/1.66 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(237,plain,
% 2.16/1.66 (^[Y: $i, X: $i] : rewrite(((until5(Y) | (~succ(X, Y))) | (~xuntil6(X))) <=> ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)))),
% 2.16/1.66 inference(bind,[status(th)],[])).
% 2.16/1.66 tff(238,plain,
% 2.16/1.66 (![Y: $i, X: $i] : ((until5(Y) | (~succ(X, Y))) | (~xuntil6(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 2.16/1.66 inference(quant_intro,[status(thm)],[237])).
% 2.16/1.66 tff(239,axiom,(![Y: $i, X: $i] : ((until5(Y) | (~succ(X, Y))) | (~xuntil6(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty7')).
% 2.16/1.66 tff(240,plain,
% 2.16/1.66 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[239, 238])).
% 2.16/1.66 tff(241,plain,
% 2.16/1.66 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[240, 236])).
% 2.16/1.66 tff(242,plain,(
% 2.16/1.66 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 2.16/1.66 inference(skolemize,[status(sab)],[241])).
% 2.16/1.66 tff(243,plain,
% 2.16/1.66 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[242, 235])).
% 2.16/1.66 tff(244,plain,
% 2.16/1.66 (((~![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))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(245,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s14, s15)) | (~xuntil6(s14)) | until5(s15))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(246,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s14, s15)) | (~xuntil6(s14)) | until5(s15)),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[245, 244])).
% 2.16/1.66 tff(247,plain,
% 2.16/1.66 ((~xuntil6(s14)) | until5(s15)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[246, 198, 243])).
% 2.16/1.66 tff(248,plain,
% 2.16/1.66 (~xuntil6(s14)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[247, 233])).
% 2.16/1.66 tff(249,plain,
% 2.16/1.66 (((~![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)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(250,plain,
% 2.16/1.66 ((node4(s14) | (~until5(s14)) | xuntil6(s14)) <=> (xuntil6(s14) | node4(s14) | (~until5(s14)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(251,plain,
% 2.16/1.66 (((~![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))))),
% 2.16/1.66 inference(monotonicity,[status(thm)],[250])).
% 2.16/1.66 tff(252,plain,
% 2.16/1.66 (((~![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)))),
% 2.16/1.66 inference(transitivity,[status(thm)],[251, 249])).
% 2.16/1.66 tff(253,plain,
% 2.16/1.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s14) | (~until5(s14)) | xuntil6(s14))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(254,plain,
% 2.16/1.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s14) | node4(s14) | (~until5(s14))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[253, 252])).
% 2.16/1.66 tff(255,plain,
% 2.16/1.66 (~until5(s14)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[254, 225, 248, 211])).
% 2.16/1.66 tff(256,plain,
% 2.16/1.66 (succ(s13, s14) <=> succ(s13, s14)),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(257,axiom,(succ(s13, s14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound14')).
% 2.16/1.66 tff(258,plain,
% 2.16/1.66 (succ(s13, s14)),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[257, 256])).
% 2.16/1.66 tff(259,plain,
% 2.16/1.66 (((~![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))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(260,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s13, s14)) | (~xuntil6(s13)) | until5(s14))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(261,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s13, s14)) | (~xuntil6(s13)) | until5(s14)),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[260, 259])).
% 2.16/1.66 tff(262,plain,
% 2.16/1.66 ((~xuntil6(s13)) | until5(s14)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[261, 258, 243])).
% 2.16/1.66 tff(263,plain,
% 2.16/1.66 (~xuntil6(s13)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[262, 255])).
% 2.16/1.66 tff(264,plain,
% 2.16/1.66 (((~![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))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(265,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(266,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14)),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[265, 264])).
% 2.16/1.66 tff(267,plain,
% 2.16/1.66 (trans(s13, s14)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[266, 258, 21])).
% 2.16/1.66 tff(268,plain,
% 2.16/1.66 (((~![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))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(269,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s13, s14)) | (~always3(s13)) | always3(s14))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(270,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s13, s14)) | (~always3(s13)) | always3(s14)),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[269, 268])).
% 2.16/1.66 tff(271,plain,
% 2.16/1.66 ((~always3(s13)) | always3(s14)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[270, 38, 267])).
% 2.16/1.66 tff(272,plain,
% 2.16/1.66 (~always3(s13)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[271, 207])).
% 2.16/1.66 tff(273,plain,
% 2.16/1.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s13) | (~node4(s13)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s13) | (~node4(s13)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(274,plain,
% 2.16/1.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s13) | (~node4(s13)))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(275,plain,
% 2.16/1.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s13) | (~node4(s13))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[274, 273])).
% 2.16/1.66 tff(276,plain,
% 2.16/1.66 (~node4(s13)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[275, 113, 272])).
% 2.16/1.66 tff(277,plain,
% 2.16/1.66 (((~![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)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(278,plain,
% 2.16/1.66 ((node4(s13) | (~until5(s13)) | xuntil6(s13)) <=> (xuntil6(s13) | node4(s13) | (~until5(s13)))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(279,plain,
% 2.16/1.66 (((~![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))))),
% 2.16/1.66 inference(monotonicity,[status(thm)],[278])).
% 2.16/1.66 tff(280,plain,
% 2.16/1.66 (((~![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)))),
% 2.16/1.66 inference(transitivity,[status(thm)],[279, 277])).
% 2.16/1.66 tff(281,plain,
% 2.16/1.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s13) | (~until5(s13)) | xuntil6(s13))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(282,plain,
% 2.16/1.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s13) | node4(s13) | (~until5(s13))),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[281, 280])).
% 2.16/1.66 tff(283,plain,
% 2.16/1.66 (xuntil6(s13) | (~until5(s13))),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[282, 225, 276])).
% 2.16/1.66 tff(284,plain,
% 2.16/1.66 (~until5(s13)),
% 2.16/1.66 inference(unit_resolution,[status(thm)],[283, 263])).
% 2.16/1.66 tff(285,plain,
% 2.16/1.66 (succ(s12, s13) <=> succ(s12, s13)),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(286,axiom,(succ(s12, s13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound13')).
% 2.16/1.66 tff(287,plain,
% 2.16/1.66 (succ(s12, s13)),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[286, 285])).
% 2.16/1.66 tff(288,plain,
% 2.16/1.66 (((~![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))),
% 2.16/1.66 inference(rewrite,[status(thm)],[])).
% 2.16/1.66 tff(289,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s12, s13)) | (~xuntil6(s12)) | until5(s13))),
% 2.16/1.66 inference(quant_inst,[status(thm)],[])).
% 2.16/1.66 tff(290,plain,
% 2.16/1.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s12, s13)) | (~xuntil6(s12)) | until5(s13)),
% 2.16/1.66 inference(modus_ponens,[status(thm)],[289, 288])).
% 2.16/1.67 tff(291,plain,
% 2.16/1.67 ((~xuntil6(s12)) | until5(s13)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[290, 287, 243])).
% 2.16/1.67 tff(292,plain,
% 2.16/1.67 (~xuntil6(s12)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[291, 284])).
% 2.16/1.67 tff(293,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(294,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(295,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[294, 293])).
% 2.16/1.67 tff(296,plain,
% 2.16/1.67 (trans(s12, s13)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[295, 287, 21])).
% 2.16/1.67 tff(297,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(298,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s12, s13)) | (~always3(s12)) | always3(s13))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(299,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s12, s13)) | (~always3(s12)) | always3(s13)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[298, 297])).
% 2.16/1.67 tff(300,plain,
% 2.16/1.67 ((~always3(s12)) | always3(s13)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[299, 38, 296])).
% 2.16/1.67 tff(301,plain,
% 2.16/1.67 (~always3(s12)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[300, 272])).
% 2.16/1.67 tff(302,plain,
% 2.16/1.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s12) | (~node4(s12)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s12) | (~node4(s12)))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(303,plain,
% 2.16/1.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s12) | (~node4(s12)))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(304,plain,
% 2.16/1.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s12) | (~node4(s12))),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[303, 302])).
% 2.16/1.67 tff(305,plain,
% 2.16/1.67 (~node4(s12)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[304, 113, 301])).
% 2.16/1.67 tff(306,plain,
% 2.16/1.67 (((~![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)))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(307,plain,
% 2.16/1.67 ((node4(s12) | (~until5(s12)) | xuntil6(s12)) <=> (xuntil6(s12) | node4(s12) | (~until5(s12)))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(308,plain,
% 2.16/1.67 (((~![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))))),
% 2.16/1.67 inference(monotonicity,[status(thm)],[307])).
% 2.16/1.67 tff(309,plain,
% 2.16/1.67 (((~![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)))),
% 2.16/1.67 inference(transitivity,[status(thm)],[308, 306])).
% 2.16/1.67 tff(310,plain,
% 2.16/1.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s12) | (~until5(s12)) | xuntil6(s12))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(311,plain,
% 2.16/1.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s12) | node4(s12) | (~until5(s12))),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[310, 309])).
% 2.16/1.67 tff(312,plain,
% 2.16/1.67 (xuntil6(s12) | (~until5(s12))),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[311, 225, 305])).
% 2.16/1.67 tff(313,plain,
% 2.16/1.67 (~until5(s12)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[312, 292])).
% 2.16/1.67 tff(314,plain,
% 2.16/1.67 (succ(s11, s12) <=> succ(s11, s12)),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(315,axiom,(succ(s11, s12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound12')).
% 2.16/1.67 tff(316,plain,
% 2.16/1.67 (succ(s11, s12)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[315, 314])).
% 2.16/1.67 tff(317,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(318,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s11, s12)) | (~xuntil6(s11)) | until5(s12))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(319,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s11, s12)) | (~xuntil6(s11)) | until5(s12)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[318, 317])).
% 2.16/1.67 tff(320,plain,
% 2.16/1.67 ((~xuntil6(s11)) | until5(s12)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[319, 316, 243])).
% 2.16/1.67 tff(321,plain,
% 2.16/1.67 (~xuntil6(s11)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[320, 313])).
% 2.16/1.67 tff(322,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(323,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(324,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[323, 322])).
% 2.16/1.67 tff(325,plain,
% 2.16/1.67 (trans(s11, s12)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[324, 316, 21])).
% 2.16/1.67 tff(326,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(327,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s11, s12)) | (~always3(s11)) | always3(s12))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(328,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s11, s12)) | (~always3(s11)) | always3(s12)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[327, 326])).
% 2.16/1.67 tff(329,plain,
% 2.16/1.67 ((~always3(s11)) | always3(s12)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[328, 38, 325])).
% 2.16/1.67 tff(330,plain,
% 2.16/1.67 (~always3(s11)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[329, 301])).
% 2.16/1.67 tff(331,plain,
% 2.16/1.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s11) | (~node4(s11)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s11) | (~node4(s11)))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(332,plain,
% 2.16/1.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s11) | (~node4(s11)))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(333,plain,
% 2.16/1.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s11) | (~node4(s11))),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[332, 331])).
% 2.16/1.67 tff(334,plain,
% 2.16/1.67 (~node4(s11)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[333, 113, 330])).
% 2.16/1.67 tff(335,plain,
% 2.16/1.67 (((~![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)))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(336,plain,
% 2.16/1.67 ((node4(s11) | (~until5(s11)) | xuntil6(s11)) <=> (xuntil6(s11) | node4(s11) | (~until5(s11)))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(337,plain,
% 2.16/1.67 (((~![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))))),
% 2.16/1.67 inference(monotonicity,[status(thm)],[336])).
% 2.16/1.67 tff(338,plain,
% 2.16/1.67 (((~![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)))),
% 2.16/1.67 inference(transitivity,[status(thm)],[337, 335])).
% 2.16/1.67 tff(339,plain,
% 2.16/1.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s11) | (~until5(s11)) | xuntil6(s11))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(340,plain,
% 2.16/1.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s11) | node4(s11) | (~until5(s11))),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[339, 338])).
% 2.16/1.67 tff(341,plain,
% 2.16/1.67 (xuntil6(s11) | (~until5(s11))),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[340, 225, 334])).
% 2.16/1.67 tff(342,plain,
% 2.16/1.67 (~until5(s11)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[341, 321])).
% 2.16/1.67 tff(343,plain,
% 2.16/1.67 (succ(s10, s11) <=> succ(s10, s11)),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(344,axiom,(succ(s10, s11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound11')).
% 2.16/1.67 tff(345,plain,
% 2.16/1.67 (succ(s10, s11)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[344, 343])).
% 2.16/1.67 tff(346,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(347,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s10, s11)) | (~xuntil6(s10)) | until5(s11))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(348,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s10, s11)) | (~xuntil6(s10)) | until5(s11)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[347, 346])).
% 2.16/1.67 tff(349,plain,
% 2.16/1.67 ((~xuntil6(s10)) | until5(s11)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[348, 345, 243])).
% 2.16/1.67 tff(350,plain,
% 2.16/1.67 (~xuntil6(s10)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[349, 342])).
% 2.16/1.67 tff(351,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(352,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(353,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[352, 351])).
% 2.16/1.67 tff(354,plain,
% 2.16/1.67 (trans(s10, s11)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[353, 345, 21])).
% 2.16/1.67 tff(355,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(356,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s10, s11)) | (~always3(s10)) | always3(s11))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(357,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s10, s11)) | (~always3(s10)) | always3(s11)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[356, 355])).
% 2.16/1.67 tff(358,plain,
% 2.16/1.67 ((~always3(s10)) | always3(s11)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[357, 38, 354])).
% 2.16/1.67 tff(359,plain,
% 2.16/1.67 (~always3(s10)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[358, 330])).
% 2.16/1.67 tff(360,plain,
% 2.16/1.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s10) | (~node4(s10)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s10) | (~node4(s10)))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(361,plain,
% 2.16/1.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s10) | (~node4(s10)))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(362,plain,
% 2.16/1.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s10) | (~node4(s10))),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[361, 360])).
% 2.16/1.67 tff(363,plain,
% 2.16/1.67 (~node4(s10)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[362, 113, 359])).
% 2.16/1.67 tff(364,plain,
% 2.16/1.67 (((~![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)))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(365,plain,
% 2.16/1.67 ((node4(s10) | (~until5(s10)) | xuntil6(s10)) <=> (xuntil6(s10) | node4(s10) | (~until5(s10)))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(366,plain,
% 2.16/1.67 (((~![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))))),
% 2.16/1.67 inference(monotonicity,[status(thm)],[365])).
% 2.16/1.67 tff(367,plain,
% 2.16/1.67 (((~![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)))),
% 2.16/1.67 inference(transitivity,[status(thm)],[366, 364])).
% 2.16/1.67 tff(368,plain,
% 2.16/1.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s10) | (~until5(s10)) | xuntil6(s10))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(369,plain,
% 2.16/1.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s10) | node4(s10) | (~until5(s10))),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[368, 367])).
% 2.16/1.67 tff(370,plain,
% 2.16/1.67 (xuntil6(s10) | (~until5(s10))),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[369, 225, 363])).
% 2.16/1.67 tff(371,plain,
% 2.16/1.67 (~until5(s10)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[370, 350])).
% 2.16/1.67 tff(372,plain,
% 2.16/1.67 (succ(s9, s10) <=> succ(s9, s10)),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(373,axiom,(succ(s9, s10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound10')).
% 2.16/1.67 tff(374,plain,
% 2.16/1.67 (succ(s9, s10)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[373, 372])).
% 2.16/1.67 tff(375,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(376,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s9, s10)) | (~xuntil6(s9)) | until5(s10))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(377,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s9, s10)) | (~xuntil6(s9)) | until5(s10)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[376, 375])).
% 2.16/1.67 tff(378,plain,
% 2.16/1.67 ((~xuntil6(s9)) | until5(s10)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[377, 374, 243])).
% 2.16/1.67 tff(379,plain,
% 2.16/1.67 (~xuntil6(s9)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[378, 371])).
% 2.16/1.67 tff(380,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(381,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(382,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[381, 380])).
% 2.16/1.67 tff(383,plain,
% 2.16/1.67 (trans(s9, s10)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[382, 374, 21])).
% 2.16/1.67 tff(384,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(385,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s9, s10)) | (~always3(s9)) | always3(s10))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(386,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s9, s10)) | (~always3(s9)) | always3(s10)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[385, 384])).
% 2.16/1.67 tff(387,plain,
% 2.16/1.67 ((~always3(s9)) | always3(s10)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[386, 38, 383])).
% 2.16/1.67 tff(388,plain,
% 2.16/1.67 (~always3(s9)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[387, 359])).
% 2.16/1.67 tff(389,plain,
% 2.16/1.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s9) | (~node4(s9)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s9) | (~node4(s9)))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(390,plain,
% 2.16/1.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s9) | (~node4(s9)))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(391,plain,
% 2.16/1.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s9) | (~node4(s9))),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[390, 389])).
% 2.16/1.67 tff(392,plain,
% 2.16/1.67 (~node4(s9)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[391, 113, 388])).
% 2.16/1.67 tff(393,plain,
% 2.16/1.67 (((~![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)))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(394,plain,
% 2.16/1.67 ((node4(s9) | (~until5(s9)) | xuntil6(s9)) <=> (xuntil6(s9) | node4(s9) | (~until5(s9)))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(395,plain,
% 2.16/1.67 (((~![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))))),
% 2.16/1.67 inference(monotonicity,[status(thm)],[394])).
% 2.16/1.67 tff(396,plain,
% 2.16/1.67 (((~![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)))),
% 2.16/1.67 inference(transitivity,[status(thm)],[395, 393])).
% 2.16/1.67 tff(397,plain,
% 2.16/1.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s9) | (~until5(s9)) | xuntil6(s9))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(398,plain,
% 2.16/1.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s9) | node4(s9) | (~until5(s9))),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[397, 396])).
% 2.16/1.67 tff(399,plain,
% 2.16/1.67 (xuntil6(s9) | (~until5(s9))),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[398, 225, 392])).
% 2.16/1.67 tff(400,plain,
% 2.16/1.67 (~until5(s9)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[399, 379])).
% 2.16/1.67 tff(401,plain,
% 2.16/1.67 (succ(s8, s9) <=> succ(s8, s9)),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(402,axiom,(succ(s8, s9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound9')).
% 2.16/1.67 tff(403,plain,
% 2.16/1.67 (succ(s8, s9)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[402, 401])).
% 2.16/1.67 tff(404,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(405,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s8, s9)) | (~xuntil6(s8)) | until5(s9))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(406,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s8, s9)) | (~xuntil6(s8)) | until5(s9)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[405, 404])).
% 2.16/1.67 tff(407,plain,
% 2.16/1.67 ((~xuntil6(s8)) | until5(s9)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[406, 403, 243])).
% 2.16/1.67 tff(408,plain,
% 2.16/1.67 (~xuntil6(s8)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[407, 400])).
% 2.16/1.67 tff(409,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(410,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(411,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[410, 409])).
% 2.16/1.67 tff(412,plain,
% 2.16/1.67 (trans(s8, s9)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[411, 403, 21])).
% 2.16/1.67 tff(413,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(414,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s8, s9)) | (~always3(s8)) | always3(s9))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(415,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s8, s9)) | (~always3(s8)) | always3(s9)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[414, 413])).
% 2.16/1.67 tff(416,plain,
% 2.16/1.67 ((~always3(s8)) | always3(s9)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[415, 38, 412])).
% 2.16/1.67 tff(417,plain,
% 2.16/1.67 (~always3(s8)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[416, 388])).
% 2.16/1.67 tff(418,plain,
% 2.16/1.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s8) | (~node4(s8)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s8) | (~node4(s8)))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(419,plain,
% 2.16/1.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s8) | (~node4(s8)))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(420,plain,
% 2.16/1.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s8) | (~node4(s8))),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[419, 418])).
% 2.16/1.67 tff(421,plain,
% 2.16/1.67 (~node4(s8)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[420, 113, 417])).
% 2.16/1.67 tff(422,plain,
% 2.16/1.67 (((~![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)))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(423,plain,
% 2.16/1.67 ((node4(s8) | (~until5(s8)) | xuntil6(s8)) <=> (xuntil6(s8) | node4(s8) | (~until5(s8)))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(424,plain,
% 2.16/1.67 (((~![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))))),
% 2.16/1.67 inference(monotonicity,[status(thm)],[423])).
% 2.16/1.67 tff(425,plain,
% 2.16/1.67 (((~![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)))),
% 2.16/1.67 inference(transitivity,[status(thm)],[424, 422])).
% 2.16/1.67 tff(426,plain,
% 2.16/1.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s8) | (~until5(s8)) | xuntil6(s8))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(427,plain,
% 2.16/1.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s8) | node4(s8) | (~until5(s8))),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[426, 425])).
% 2.16/1.67 tff(428,plain,
% 2.16/1.67 (xuntil6(s8) | (~until5(s8))),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[427, 225, 421])).
% 2.16/1.67 tff(429,plain,
% 2.16/1.67 (~until5(s8)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[428, 408])).
% 2.16/1.67 tff(430,plain,
% 2.16/1.67 (succ(s7, s8) <=> succ(s7, s8)),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(431,axiom,(succ(s7, s8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound8')).
% 2.16/1.67 tff(432,plain,
% 2.16/1.67 (succ(s7, s8)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[431, 430])).
% 2.16/1.67 tff(433,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(434,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(435,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[434, 433])).
% 2.16/1.67 tff(436,plain,
% 2.16/1.67 (trans(s7, s8)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[435, 432, 21])).
% 2.16/1.67 tff(437,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(438,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s7, s8)) | (~always3(s7)) | always3(s8))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(439,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s7, s8)) | (~always3(s7)) | always3(s8)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[438, 437])).
% 2.16/1.67 tff(440,plain,
% 2.16/1.67 ((~always3(s7)) | always3(s8)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[439, 38, 436])).
% 2.16/1.67 tff(441,plain,
% 2.16/1.67 (~always3(s7)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[440, 417])).
% 2.16/1.67 tff(442,plain,
% 2.16/1.67 (succ(s6, s7) <=> succ(s6, s7)),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(443,axiom,(succ(s6, s7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound7')).
% 2.16/1.67 tff(444,plain,
% 2.16/1.67 (succ(s6, s7)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[443, 442])).
% 2.16/1.67 tff(445,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(446,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(447,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[446, 445])).
% 2.16/1.67 tff(448,plain,
% 2.16/1.67 (trans(s6, s7)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[447, 444, 21])).
% 2.16/1.67 tff(449,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(450,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s6, s7)) | (~always3(s6)) | always3(s7))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(451,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s6, s7)) | (~always3(s6)) | always3(s7)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[450, 449])).
% 2.16/1.67 tff(452,plain,
% 2.16/1.67 ((~always3(s6)) | always3(s7)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[451, 38, 448])).
% 2.16/1.67 tff(453,plain,
% 2.16/1.67 (~always3(s6)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[452, 441])).
% 2.16/1.67 tff(454,plain,
% 2.16/1.67 (succ(s5, s6) <=> succ(s5, s6)),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(455,axiom,(succ(s5, s6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound6')).
% 2.16/1.67 tff(456,plain,
% 2.16/1.67 (succ(s5, s6)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[455, 454])).
% 2.16/1.67 tff(457,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(458,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(459,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[458, 457])).
% 2.16/1.67 tff(460,plain,
% 2.16/1.67 (trans(s5, s6)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[459, 456, 21])).
% 2.16/1.67 tff(461,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(462,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s5, s6)) | (~always3(s5)) | always3(s6))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(463,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s5, s6)) | (~always3(s5)) | always3(s6)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[462, 461])).
% 2.16/1.67 tff(464,plain,
% 2.16/1.67 ((~always3(s5)) | always3(s6)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[463, 38, 460])).
% 2.16/1.67 tff(465,plain,
% 2.16/1.67 (~always3(s5)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[464, 453])).
% 2.16/1.67 tff(466,plain,
% 2.16/1.67 (succ(s4, s5) <=> succ(s4, s5)),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(467,axiom,(succ(s4, s5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound5')).
% 2.16/1.67 tff(468,plain,
% 2.16/1.67 (succ(s4, s5)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[467, 466])).
% 2.16/1.67 tff(469,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(470,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(471,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[470, 469])).
% 2.16/1.67 tff(472,plain,
% 2.16/1.67 (trans(s4, s5)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[471, 468, 21])).
% 2.16/1.67 tff(473,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(474,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s4, s5)) | (~always3(s4)) | always3(s5))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(475,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s4, s5)) | (~always3(s4)) | always3(s5)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[474, 473])).
% 2.16/1.67 tff(476,plain,
% 2.16/1.67 ((~always3(s4)) | always3(s5)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[475, 38, 472])).
% 2.16/1.67 tff(477,plain,
% 2.16/1.67 (~always3(s4)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[476, 465])).
% 2.16/1.67 tff(478,plain,
% 2.16/1.67 (succ(s3, s4) <=> succ(s3, s4)),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(479,axiom,(succ(s3, s4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound4')).
% 2.16/1.67 tff(480,plain,
% 2.16/1.67 (succ(s3, s4)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[479, 478])).
% 2.16/1.67 tff(481,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(482,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(483,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[482, 481])).
% 2.16/1.67 tff(484,plain,
% 2.16/1.67 (trans(s3, s4)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[483, 480, 21])).
% 2.16/1.67 tff(485,plain,
% 2.16/1.67 (((~![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))),
% 2.16/1.67 inference(rewrite,[status(thm)],[])).
% 2.16/1.67 tff(486,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s3, s4)) | (~always3(s3)) | always3(s4))),
% 2.16/1.67 inference(quant_inst,[status(thm)],[])).
% 2.16/1.67 tff(487,plain,
% 2.16/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s3, s4)) | (~always3(s3)) | always3(s4)),
% 2.16/1.67 inference(modus_ponens,[status(thm)],[486, 485])).
% 2.16/1.67 tff(488,plain,
% 2.16/1.67 ((~always3(s3)) | always3(s4)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[487, 38, 484])).
% 2.16/1.67 tff(489,plain,
% 2.16/1.67 (~always3(s3)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[488, 477])).
% 2.16/1.67 tff(490,plain,
% 2.16/1.67 (~always3(s2)),
% 2.16/1.67 inference(unit_resolution,[status(thm)],[42, 489])).
% 2.16/1.68 tff(491,plain,
% 2.16/1.68 (~always3(s1)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[54, 490])).
% 2.16/1.68 tff(492,plain,
% 2.16/1.68 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s1) | (~node4(s1)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s1) | (~node4(s1)))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(493,plain,
% 2.16/1.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s1) | (~node4(s1)))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(494,plain,
% 2.16/1.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s1) | (~node4(s1))),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[493, 492])).
% 2.16/1.68 tff(495,plain,
% 2.16/1.68 (~node4(s1)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[494, 113, 491])).
% 2.16/1.68 tff(496,plain,
% 2.16/1.68 (succ(s0, s1) <=> succ(s0, s1)),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(497,axiom,(succ(s0, s1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound1')).
% 2.16/1.68 tff(498,plain,
% 2.16/1.68 (succ(s0, s1)),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[497, 496])).
% 2.16/1.68 tff(499,plain,
% 2.16/1.68 (((~![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))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(500,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(501,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[500, 499])).
% 2.16/1.68 tff(502,plain,
% 2.16/1.68 (trans(s0, s1)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[501, 498, 21])).
% 2.16/1.68 tff(503,plain,
% 2.16/1.68 (((~![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))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(504,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s0, s1)) | (~always3(s0)) | always3(s1))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(505,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s0, s1)) | (~always3(s0)) | always3(s1)),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[504, 503])).
% 2.16/1.68 tff(506,plain,
% 2.16/1.68 ((~always3(s0)) | always3(s1)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[505, 38, 502])).
% 2.16/1.68 tff(507,plain,
% 2.16/1.68 (~always3(s0)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[506, 491])).
% 2.16/1.68 tff(508,plain,
% 2.16/1.68 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s0) | (~node4(s0)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s0) | (~node4(s0)))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(509,plain,
% 2.16/1.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s0) | (~node4(s0)))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(510,plain,
% 2.16/1.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s0) | (~node4(s0))),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[509, 508])).
% 2.16/1.68 tff(511,plain,
% 2.16/1.68 (~node4(s0)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[510, 113, 507])).
% 2.16/1.68 tff(512,plain,
% 2.16/1.68 (until5(s0) <=> until5(s0)),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(513,axiom,(until5(s0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty13')).
% 2.16/1.68 tff(514,plain,
% 2.16/1.68 (until5(s0)),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[513, 512])).
% 2.16/1.68 tff(515,plain,
% 2.16/1.68 (((~![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)))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(516,plain,
% 2.16/1.68 ((node4(s0) | (~until5(s0)) | xuntil6(s0)) <=> (xuntil6(s0) | node4(s0) | (~until5(s0)))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(517,plain,
% 2.16/1.68 (((~![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))))),
% 2.16/1.68 inference(monotonicity,[status(thm)],[516])).
% 2.16/1.68 tff(518,plain,
% 2.16/1.68 (((~![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)))),
% 2.16/1.68 inference(transitivity,[status(thm)],[517, 515])).
% 2.16/1.68 tff(519,plain,
% 2.16/1.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s0) | (~until5(s0)) | xuntil6(s0))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(520,plain,
% 2.16/1.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s0) | node4(s0) | (~until5(s0))),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[519, 518])).
% 2.16/1.68 tff(521,plain,
% 2.16/1.68 (xuntil6(s0) | node4(s0)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[520, 225, 514])).
% 2.16/1.68 tff(522,plain,
% 2.16/1.68 (xuntil6(s0)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[521, 511])).
% 2.16/1.68 tff(523,plain,
% 2.16/1.68 (((~![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))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(524,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s0, s1)) | (~xuntil6(s0)) | until5(s1))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(525,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s0, s1)) | (~xuntil6(s0)) | until5(s1)),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[524, 523])).
% 2.16/1.68 tff(526,plain,
% 2.16/1.68 ((~xuntil6(s0)) | until5(s1)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[525, 498, 243])).
% 2.16/1.68 tff(527,plain,
% 2.16/1.68 (until5(s1)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[526, 522])).
% 2.16/1.68 tff(528,plain,
% 2.16/1.68 (((~![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)))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(529,plain,
% 2.16/1.68 ((node4(s1) | (~until5(s1)) | xuntil6(s1)) <=> (xuntil6(s1) | node4(s1) | (~until5(s1)))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(530,plain,
% 2.16/1.68 (((~![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))))),
% 2.16/1.68 inference(monotonicity,[status(thm)],[529])).
% 2.16/1.68 tff(531,plain,
% 2.16/1.68 (((~![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)))),
% 2.16/1.68 inference(transitivity,[status(thm)],[530, 528])).
% 2.16/1.68 tff(532,plain,
% 2.16/1.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s1) | (~until5(s1)) | xuntil6(s1))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(533,plain,
% 2.16/1.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s1) | node4(s1) | (~until5(s1))),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[532, 531])).
% 2.16/1.68 tff(534,plain,
% 2.16/1.68 (xuntil6(s1)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[533, 225, 527, 495])).
% 2.16/1.68 tff(535,plain,
% 2.16/1.68 (((~![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))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(536,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s1, s2)) | (~xuntil6(s1)) | until5(s2))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(537,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s1, s2)) | (~xuntil6(s1)) | until5(s2)),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[536, 535])).
% 2.16/1.68 tff(538,plain,
% 2.16/1.68 ((~xuntil6(s1)) | until5(s2)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[537, 46, 243])).
% 2.16/1.68 tff(539,plain,
% 2.16/1.68 (until5(s2)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[538, 534])).
% 2.16/1.68 tff(540,plain,
% 2.16/1.68 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s2) | (~node4(s2)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s2) | (~node4(s2)))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(541,plain,
% 2.16/1.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s2) | (~node4(s2)))),
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% 2.16/1.68 inference(rewrite,[status(thm)],[])).
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% 2.16/1.68 inference(rewrite,[status(thm)],[])).
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% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
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% 2.16/1.68 inference(rewrite,[status(thm)],[])).
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% 2.16/1.68 inference(unit_resolution,[status(thm)],[567, 556])).
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% 2.16/1.68 inference(rewrite,[status(thm)],[])).
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% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
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% 2.16/1.68 inference(rewrite,[status(thm)],[])).
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% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
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% 2.16/1.68 inference(rewrite,[status(thm)],[])).
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% 2.16/1.68 inference(rewrite,[status(thm)],[])).
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% 2.16/1.68 inference(rewrite,[status(thm)],[])).
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% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
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% 2.16/1.68 inference(modus_ponens,[status(thm)],[587, 586])).
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% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
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% 2.16/1.68 inference(rewrite,[status(thm)],[])).
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% 2.16/1.68 inference(rewrite,[status(thm)],[])).
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% 2.16/1.68 inference(unit_resolution,[status(thm)],[601, 590])).
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% 2.16/1.68 inference(rewrite,[status(thm)],[])).
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% 2.16/1.68 inference(modus_ponens,[status(thm)],[604, 603])).
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% 2.16/1.68 inference(unit_resolution,[status(thm)],[606, 602])).
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% 2.16/1.68 inference(rewrite,[status(thm)],[])).
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% 2.16/1.68 inference(rewrite,[status(thm)],[])).
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% 2.16/1.68 inference(rewrite,[status(thm)],[])).
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% 2.16/1.68 (((~![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))))),
% 2.16/1.68 inference(monotonicity,[status(thm)],[613])).
% 2.16/1.68 tff(615,plain,
% 2.16/1.68 (((~![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)))),
% 2.16/1.68 inference(transitivity,[status(thm)],[614, 612])).
% 2.16/1.68 tff(616,plain,
% 2.16/1.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s6) | (~until5(s6)) | xuntil6(s6))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(617,plain,
% 2.16/1.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s6) | node4(s6) | (~until5(s6))),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[616, 615])).
% 2.16/1.68 tff(618,plain,
% 2.16/1.68 (xuntil6(s6) | (~until5(s6))),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[617, 225, 611])).
% 2.16/1.68 tff(619,plain,
% 2.16/1.68 (xuntil6(s6)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[618, 607])).
% 2.16/1.68 tff(620,plain,
% 2.16/1.68 (((~![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))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(621,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s6, s7)) | (~xuntil6(s6)) | until5(s7))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(622,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s6, s7)) | (~xuntil6(s6)) | until5(s7)),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[621, 620])).
% 2.16/1.68 tff(623,plain,
% 2.16/1.68 ((~xuntil6(s6)) | until5(s7)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[622, 444, 243])).
% 2.16/1.68 tff(624,plain,
% 2.16/1.68 (until5(s7)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[623, 619])).
% 2.16/1.68 tff(625,plain,
% 2.16/1.68 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s7) | (~node4(s7)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s7) | (~node4(s7)))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(626,plain,
% 2.16/1.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s7) | (~node4(s7)))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(627,plain,
% 2.16/1.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s7) | (~node4(s7))),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[626, 625])).
% 2.16/1.68 tff(628,plain,
% 2.16/1.68 (~node4(s7)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[627, 113, 441])).
% 2.16/1.68 tff(629,plain,
% 2.16/1.68 (((~![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)))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(630,plain,
% 2.16/1.68 ((node4(s7) | (~until5(s7)) | xuntil6(s7)) <=> (xuntil6(s7) | node4(s7) | (~until5(s7)))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(631,plain,
% 2.16/1.68 (((~![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))))),
% 2.16/1.68 inference(monotonicity,[status(thm)],[630])).
% 2.16/1.68 tff(632,plain,
% 2.16/1.68 (((~![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)))),
% 2.16/1.68 inference(transitivity,[status(thm)],[631, 629])).
% 2.16/1.68 tff(633,plain,
% 2.16/1.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s7) | (~until5(s7)) | xuntil6(s7))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(634,plain,
% 2.16/1.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s7) | node4(s7) | (~until5(s7))),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[633, 632])).
% 2.16/1.68 tff(635,plain,
% 2.16/1.68 (xuntil6(s7) | (~until5(s7))),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[634, 225, 628])).
% 2.16/1.68 tff(636,plain,
% 2.16/1.68 (xuntil6(s7)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[635, 624])).
% 2.16/1.68 tff(637,plain,
% 2.16/1.68 (((~![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))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(638,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s7, s8)) | (~xuntil6(s7)) | until5(s8))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(639,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s7, s8)) | (~xuntil6(s7)) | until5(s8)),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[638, 637])).
% 2.16/1.68 tff(640,plain,
% 2.16/1.68 ((~xuntil6(s7)) | until5(s8)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[639, 432, 243])).
% 2.16/1.68 tff(641,plain,
% 2.16/1.68 ($false),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[640, 636, 429])).
% 2.16/1.68 tff(642,plain,(always3(s15) | xuntil6(s15)), inference(lemma,lemma(discharge,[]))).
% 2.16/1.68 tff(643,plain,
% 2.16/1.68 (always3(s15)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[642, 194])).
% 2.16/1.68 tff(644,plain,
% 2.16/1.68 (succ(s15, s16) <=> succ(s15, s16)),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(645,axiom,(succ(s15, s16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound16')).
% 2.16/1.68 tff(646,plain,
% 2.16/1.68 (succ(s15, s16)),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[645, 644])).
% 2.16/1.68 tff(647,plain,
% 2.16/1.68 (((~![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))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(648,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(649,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16)),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[648, 647])).
% 2.16/1.68 tff(650,plain,
% 2.16/1.68 (trans(s15, s16)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[649, 646, 21])).
% 2.16/1.68 tff(651,plain,
% 2.16/1.68 (((~![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))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(652,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s15, s16)) | (~always3(s15)) | always3(s16))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(653,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s15, s16)) | (~always3(s15)) | always3(s16)),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[652, 651])).
% 2.16/1.68 tff(654,plain,
% 2.16/1.68 ((~always3(s15)) | always3(s16)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[653, 38, 650])).
% 2.16/1.68 tff(655,plain,
% 2.16/1.68 (always3(s16)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[654, 643])).
% 2.16/1.68 tff(656,plain,
% 2.16/1.68 (((~![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)))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(657,plain,
% 2.16/1.68 (((~m_main_v_state(s16, c_busy)) | (~always3(s16))) <=> ((~always3(s16)) | (~m_main_v_state(s16, c_busy)))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(658,plain,
% 2.16/1.68 (((~![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))))),
% 2.16/1.68 inference(monotonicity,[status(thm)],[657])).
% 2.16/1.68 tff(659,plain,
% 2.16/1.68 (((~![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)))),
% 2.16/1.68 inference(transitivity,[status(thm)],[658, 656])).
% 2.16/1.68 tff(660,plain,
% 2.16/1.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s16, c_busy)) | (~always3(s16)))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(661,plain,
% 2.16/1.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s16)) | (~m_main_v_state(s16, c_busy))),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[660, 659])).
% 2.16/1.68 tff(662,plain,
% 2.16/1.68 (~m_main_v_state(s16, c_busy)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[661, 145, 655])).
% 2.16/1.68 tff(663,assumption,(until5(s15)), introduced(assumption)).
% 2.16/1.68 tff(664,plain,
% 2.16/1.68 (xuntil6(s15) | node4(s15)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[231, 225, 663])).
% 2.16/1.68 tff(665,plain,
% 2.16/1.68 (node4(s15)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[664, 194])).
% 2.16/1.68 tff(666,plain,
% 2.16/1.68 (((~![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)))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(667,plain,
% 2.16/1.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s15) | (~node4(s15)))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(668,plain,
% 2.16/1.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s15) | (~node4(s15))),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[667, 666])).
% 2.16/1.68 tff(669,plain,
% 2.16/1.68 (m_main_v_request(s15)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[668, 63, 665])).
% 2.16/1.68 tff(670,plain,
% 2.16/1.68 (((~![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))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(671,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s15, s16)) | node2(s15, s16))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(672,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s15, s16)) | node2(s15, s16)),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[671, 670])).
% 2.16/1.68 tff(673,plain,
% 2.16/1.68 (node2(s15, s16)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[672, 7, 650])).
% 2.16/1.68 tff(674,plain,
% 2.16/1.68 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(675,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s15, c_ready)) | (~node2(s15, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15)))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(676,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s15, c_ready)) | (~node2(s15, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15))),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[675, 674])).
% 2.16/1.68 tff(677,plain,
% 2.16/1.68 ((~m_main_v_state(s15, c_ready)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15))),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[676, 166, 673])).
% 2.16/1.68 tff(678,plain,
% 2.16/1.68 (~m_main_v_state(s15, c_ready)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[677, 669, 662])).
% 2.16/1.68 tff(679,plain,
% 2.16/1.68 (((~![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)))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(680,plain,
% 2.16/1.68 (((~m_main_v_state(s15, c_busy)) | (~always3(s15))) <=> ((~always3(s15)) | (~m_main_v_state(s15, c_busy)))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(681,plain,
% 2.16/1.68 (((~![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))))),
% 2.16/1.68 inference(monotonicity,[status(thm)],[680])).
% 2.16/1.68 tff(682,plain,
% 2.16/1.68 (((~![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)))),
% 2.16/1.68 inference(transitivity,[status(thm)],[681, 679])).
% 2.16/1.68 tff(683,plain,
% 2.16/1.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s15, c_busy)) | (~always3(s15)))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(684,plain,
% 2.16/1.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s15)) | (~m_main_v_state(s15, c_busy))),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[683, 682])).
% 2.16/1.68 tff(685,plain,
% 2.16/1.68 (~m_main_v_state(s15, c_busy)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[684, 145, 643])).
% 2.16/1.68 tff(686,plain,
% 2.16/1.68 (((~![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))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(687,plain,
% 2.16/1.68 ((~![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))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(688,plain,
% 2.16/1.68 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s15, c_busy) | m_main_v_state(s15, c_ready)),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[687, 686])).
% 2.16/1.68 tff(689,plain,
% 2.16/1.68 ($false),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[688, 188, 685, 678])).
% 2.16/1.68 tff(690,plain,(xuntil6(s15) | (~until5(s15))), inference(lemma,lemma(discharge,[]))).
% 2.16/1.68 tff(691,plain,
% 2.16/1.68 (~until5(s15)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[690, 194])).
% 2.16/1.68 tff(692,plain,
% 2.16/1.68 (~xuntil6(s14)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[247, 691])).
% 2.16/1.68 tff(693,assumption,(~xuntil6(s9)), introduced(assumption)).
% 2.16/1.68 tff(694,assumption,(node4(s0)), introduced(assumption)).
% 2.16/1.68 tff(695,plain,
% 2.16/1.68 (((~![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)))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(696,plain,
% 2.16/1.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s0) | (~node4(s0)))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(697,plain,
% 2.16/1.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s0) | (~node4(s0))),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[696, 695])).
% 2.16/1.68 tff(698,plain,
% 2.16/1.68 (m_main_v_request(s0)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[697, 63, 694])).
% 2.16/1.68 tff(699,plain,
% 2.16/1.68 (((~![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))),
% 2.16/1.68 inference(rewrite,[status(thm)],[])).
% 2.16/1.68 tff(700,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s0, s1)) | node2(s0, s1))),
% 2.16/1.68 inference(quant_inst,[status(thm)],[])).
% 2.16/1.68 tff(701,plain,
% 2.16/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s0, s1)) | node2(s0, s1)),
% 2.16/1.68 inference(modus_ponens,[status(thm)],[700, 699])).
% 2.16/1.68 tff(702,plain,
% 2.16/1.68 (node2(s0, s1)),
% 2.16/1.68 inference(unit_resolution,[status(thm)],[701, 7, 502])).
% 2.16/1.68 tff(703,plain,
% 2.16/1.68 (m_main_v_state(s0, c_ready) <=> m_main_v_state(s0, c_ready)),
% 2.16/1.69 inference(rewrite,[status(thm)],[])).
% 2.16/1.69 tff(704,axiom,(m_main_v_state(s0, c_ready)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_3')).
% 2.16/1.69 tff(705,plain,
% 2.16/1.69 (m_main_v_state(s0, c_ready)),
% 2.16/1.69 inference(modus_ponens,[status(thm)],[704, 703])).
% 2.16/1.69 tff(706,plain,
% 2.16/1.69 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.16/1.69 inference(rewrite,[status(thm)],[])).
% 2.16/1.69 tff(707,plain,
% 2.16/1.69 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s0, c_ready)) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s0)))),
% 2.16/1.69 inference(quant_inst,[status(thm)],[])).
% 2.16/1.69 tff(708,plain,
% 2.16/1.69 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s0, c_ready)) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s0))),
% 2.16/1.69 inference(modus_ponens,[status(thm)],[707, 706])).
% 2.16/1.69 tff(709,plain,
% 2.16/1.69 (m_main_v_state(s1, c_busy) | (~m_main_v_request(s0))),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[708, 705, 166, 702])).
% 2.16/1.69 tff(710,plain,
% 2.16/1.69 (m_main_v_state(s1, c_busy)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[709, 698])).
% 2.16/1.69 tff(711,plain,
% 2.16/1.69 (always3(s0)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[510, 113, 694])).
% 2.16/1.69 tff(712,plain,
% 2.16/1.69 (always3(s1)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[506, 711])).
% 2.16/1.69 tff(713,plain,
% 2.16/1.69 (((~![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)))),
% 2.16/1.69 inference(rewrite,[status(thm)],[])).
% 2.16/1.69 tff(714,plain,
% 2.16/1.69 (((~m_main_v_state(s1, c_busy)) | (~always3(s1))) <=> ((~always3(s1)) | (~m_main_v_state(s1, c_busy)))),
% 2.16/1.69 inference(rewrite,[status(thm)],[])).
% 2.16/1.69 tff(715,plain,
% 2.16/1.69 (((~![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))))),
% 2.16/1.69 inference(monotonicity,[status(thm)],[714])).
% 2.16/1.69 tff(716,plain,
% 2.16/1.69 (((~![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)))),
% 2.16/1.69 inference(transitivity,[status(thm)],[715, 713])).
% 2.16/1.69 tff(717,plain,
% 2.16/1.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s1, c_busy)) | (~always3(s1)))),
% 2.16/1.69 inference(quant_inst,[status(thm)],[])).
% 2.16/1.69 tff(718,plain,
% 2.16/1.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s1)) | (~m_main_v_state(s1, c_busy))),
% 2.16/1.69 inference(modus_ponens,[status(thm)],[717, 716])).
% 2.16/1.69 tff(719,plain,
% 2.16/1.69 ($false),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[718, 145, 712, 710])).
% 2.16/1.69 tff(720,plain,(~node4(s0)), inference(lemma,lemma(discharge,[]))).
% 2.16/1.69 tff(721,plain,
% 2.16/1.69 (xuntil6(s0)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[521, 720])).
% 2.16/1.69 tff(722,plain,
% 2.16/1.69 (until5(s1)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[526, 721])).
% 2.16/1.69 tff(723,assumption,(~always3(s9)), introduced(assumption)).
% 2.16/1.69 tff(724,plain,
% 2.16/1.69 (~always3(s8)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[416, 723])).
% 2.16/1.69 tff(725,plain,
% 2.16/1.69 (~node4(s8)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[420, 113, 724])).
% 2.16/1.69 tff(726,plain,
% 2.16/1.69 (~node4(s9)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[391, 113, 723])).
% 2.16/1.69 tff(727,plain,
% 2.16/1.69 (node4(s9) | (~until5(s9))),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[398, 225, 693])).
% 2.16/1.69 tff(728,plain,
% 2.16/1.69 (~until5(s9)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[727, 726])).
% 2.16/1.69 tff(729,plain,
% 2.16/1.69 (~xuntil6(s8)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[407, 728])).
% 2.16/1.69 tff(730,plain,
% 2.16/1.69 (~until5(s8)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[427, 225, 729, 725])).
% 2.16/1.69 tff(731,plain,
% 2.16/1.69 (~xuntil6(s7)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[640, 730])).
% 2.16/1.69 tff(732,plain,
% 2.16/1.69 (~always3(s7)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[440, 724])).
% 2.16/1.69 tff(733,plain,
% 2.16/1.69 (~node4(s7)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[627, 113, 732])).
% 2.16/1.69 tff(734,plain,
% 2.16/1.69 (xuntil6(s7) | (~until5(s7))),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[634, 225, 733])).
% 2.16/1.69 tff(735,plain,
% 2.16/1.69 (~until5(s7)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[734, 731])).
% 2.16/1.69 tff(736,plain,
% 2.16/1.69 (~xuntil6(s6)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[623, 735])).
% 2.16/1.69 tff(737,plain,
% 2.16/1.69 (~always3(s6)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[452, 732])).
% 2.16/1.69 tff(738,plain,
% 2.16/1.69 (~node4(s6)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[610, 113, 737])).
% 2.16/1.69 tff(739,plain,
% 2.16/1.69 (xuntil6(s6) | (~until5(s6))),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[617, 225, 738])).
% 2.16/1.69 tff(740,plain,
% 2.16/1.69 (~until5(s6)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[739, 736])).
% 2.16/1.69 tff(741,plain,
% 2.16/1.69 (~xuntil6(s5)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[606, 740])).
% 2.16/1.69 tff(742,plain,
% 2.16/1.69 (~always3(s5)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[464, 737])).
% 2.16/1.69 tff(743,plain,
% 2.16/1.69 (~always3(s4)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[476, 742])).
% 2.16/1.69 tff(744,plain,
% 2.16/1.69 (~always3(s3)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[488, 743])).
% 2.16/1.69 tff(745,plain,
% 2.16/1.69 (~always3(s2)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[42, 744])).
% 2.16/1.69 tff(746,plain,
% 2.16/1.69 (~node4(s2)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[542, 113, 745])).
% 2.16/1.69 tff(747,plain,
% 2.16/1.69 (~always3(s1)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[54, 745])).
% 2.16/1.69 tff(748,plain,
% 2.16/1.69 (~node4(s1)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[494, 113, 747])).
% 2.16/1.69 tff(749,assumption,(until5(s1)), introduced(assumption)).
% 2.16/1.69 tff(750,plain,
% 2.16/1.69 (xuntil6(s1) | node4(s1)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[533, 225, 749])).
% 2.16/1.69 tff(751,plain,
% 2.16/1.69 (xuntil6(s1)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[750, 748])).
% 2.16/1.69 tff(752,plain,
% 2.16/1.69 (until5(s2)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[538, 751])).
% 2.16/1.69 tff(753,plain,
% 2.16/1.69 (xuntil6(s2)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[549, 225, 752, 746])).
% 2.16/1.69 tff(754,plain,
% 2.16/1.69 (until5(s3)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[555, 753])).
% 2.16/1.69 tff(755,plain,
% 2.16/1.69 (~node4(s3)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[559, 113, 744])).
% 2.16/1.69 tff(756,plain,
% 2.16/1.69 (xuntil6(s3) | (~until5(s3))),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[566, 225, 755])).
% 2.16/1.69 tff(757,plain,
% 2.16/1.69 (xuntil6(s3)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[756, 754])).
% 2.16/1.69 tff(758,plain,
% 2.16/1.69 (until5(s4)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[572, 757])).
% 2.16/1.69 tff(759,plain,
% 2.16/1.69 (~node4(s4)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[576, 113, 743])).
% 2.16/1.69 tff(760,plain,
% 2.16/1.69 (xuntil6(s4) | (~until5(s4))),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[583, 225, 759])).
% 2.16/1.69 tff(761,plain,
% 2.16/1.69 (xuntil6(s4)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[760, 758])).
% 2.16/1.69 tff(762,plain,
% 2.16/1.69 (until5(s5)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[589, 761])).
% 2.16/1.69 tff(763,plain,
% 2.16/1.69 (~node4(s5)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[593, 113, 742])).
% 2.16/1.69 tff(764,plain,
% 2.16/1.69 (xuntil6(s5) | (~until5(s5))),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[600, 225, 763])).
% 2.16/1.69 tff(765,plain,
% 2.16/1.69 ($false),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[764, 762, 741])).
% 2.16/1.69 tff(766,plain,(always3(s9) | (~until5(s1)) | xuntil6(s9)), inference(lemma,lemma(discharge,[]))).
% 2.16/1.69 tff(767,plain,
% 2.16/1.69 (always3(s9) | xuntil6(s9)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[766, 722])).
% 2.16/1.69 tff(768,plain,
% 2.16/1.69 (always3(s9)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[767, 693])).
% 2.16/1.69 tff(769,plain,
% 2.16/1.69 (((~![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)))),
% 2.16/1.69 inference(rewrite,[status(thm)],[])).
% 2.16/1.69 tff(770,plain,
% 2.16/1.69 (((~m_main_v_state(s9, c_busy)) | (~always3(s9))) <=> ((~always3(s9)) | (~m_main_v_state(s9, c_busy)))),
% 2.16/1.69 inference(rewrite,[status(thm)],[])).
% 2.16/1.69 tff(771,plain,
% 2.16/1.69 (((~![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))))),
% 2.16/1.69 inference(monotonicity,[status(thm)],[770])).
% 2.16/1.69 tff(772,plain,
% 2.16/1.69 (((~![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)))),
% 2.16/1.69 inference(transitivity,[status(thm)],[771, 769])).
% 2.16/1.69 tff(773,plain,
% 2.16/1.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s9, c_busy)) | (~always3(s9)))),
% 2.16/1.69 inference(quant_inst,[status(thm)],[])).
% 2.16/1.69 tff(774,plain,
% 2.16/1.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s9)) | (~m_main_v_state(s9, c_busy))),
% 2.16/1.69 inference(modus_ponens,[status(thm)],[773, 772])).
% 2.16/1.69 tff(775,plain,
% 2.16/1.69 (~m_main_v_state(s9, c_busy)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[774, 145, 768])).
% 2.16/1.69 tff(776,plain,
% 2.16/1.69 (always3(s10)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[387, 768])).
% 2.16/1.69 tff(777,plain,
% 2.16/1.69 (((~![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)))),
% 2.16/1.69 inference(rewrite,[status(thm)],[])).
% 2.16/1.69 tff(778,plain,
% 2.16/1.69 (((~m_main_v_state(s10, c_busy)) | (~always3(s10))) <=> ((~always3(s10)) | (~m_main_v_state(s10, c_busy)))),
% 2.16/1.69 inference(rewrite,[status(thm)],[])).
% 2.16/1.69 tff(779,plain,
% 2.16/1.69 (((~![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))))),
% 2.16/1.69 inference(monotonicity,[status(thm)],[778])).
% 2.16/1.69 tff(780,plain,
% 2.16/1.69 (((~![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)))),
% 2.16/1.69 inference(transitivity,[status(thm)],[779, 777])).
% 2.16/1.69 tff(781,plain,
% 2.16/1.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s10, c_busy)) | (~always3(s10)))),
% 2.16/1.69 inference(quant_inst,[status(thm)],[])).
% 2.16/1.69 tff(782,plain,
% 2.16/1.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s10)) | (~m_main_v_state(s10, c_busy))),
% 2.16/1.69 inference(modus_ponens,[status(thm)],[781, 780])).
% 2.16/1.69 tff(783,plain,
% 2.16/1.69 (~m_main_v_state(s10, c_busy)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[782, 145, 776])).
% 2.16/1.69 tff(784,plain,
% 2.16/1.69 (((~![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))),
% 2.16/1.69 inference(rewrite,[status(thm)],[])).
% 2.16/1.69 tff(785,plain,
% 2.16/1.69 ((~![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))),
% 2.16/1.69 inference(quant_inst,[status(thm)],[])).
% 2.16/1.69 tff(786,plain,
% 2.16/1.69 ((~![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)),
% 2.16/1.69 inference(modus_ponens,[status(thm)],[785, 784])).
% 2.16/1.69 tff(787,plain,
% 2.16/1.69 (m_main_v_state(s9, c_ready)),
% 2.16/1.69 inference(unit_resolution,[status(thm)],[786, 188, 775])).
% 2.16/1.69 tff(788,plain,
% 2.16/1.69 (((~![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))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(789,plain,
% 2.22/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s9, s10)) | node2(s9, s10))),
% 2.22/1.69 inference(quant_inst,[status(thm)],[])).
% 2.22/1.69 tff(790,plain,
% 2.22/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s9, s10)) | node2(s9, s10)),
% 2.22/1.69 inference(modus_ponens,[status(thm)],[789, 788])).
% 2.22/1.69 tff(791,plain,
% 2.22/1.69 (node2(s9, s10)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[790, 7, 383])).
% 2.22/1.69 tff(792,plain,
% 2.22/1.69 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(793,plain,
% 2.22/1.69 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s9, c_ready)) | (~node2(s9, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9)))),
% 2.22/1.69 inference(quant_inst,[status(thm)],[])).
% 2.22/1.69 tff(794,plain,
% 2.22/1.69 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s9, c_ready)) | (~node2(s9, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9))),
% 2.22/1.69 inference(modus_ponens,[status(thm)],[793, 792])).
% 2.22/1.69 tff(795,plain,
% 2.22/1.69 ((~m_main_v_state(s9, c_ready)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9))),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[794, 166, 791])).
% 2.22/1.69 tff(796,plain,
% 2.22/1.69 (~m_main_v_request(s9)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[795, 787, 783])).
% 2.22/1.69 tff(797,plain,
% 2.22/1.69 (((~![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)))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(798,plain,
% 2.22/1.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s9) | (~node4(s9)))),
% 2.22/1.69 inference(quant_inst,[status(thm)],[])).
% 2.22/1.69 tff(799,plain,
% 2.22/1.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s9) | (~node4(s9))),
% 2.22/1.69 inference(modus_ponens,[status(thm)],[798, 797])).
% 2.22/1.69 tff(800,plain,
% 2.22/1.69 (~node4(s9)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[799, 63, 796])).
% 2.22/1.69 tff(801,plain,
% 2.22/1.69 (~until5(s9)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[727, 800])).
% 2.22/1.69 tff(802,plain,
% 2.22/1.69 (~xuntil6(s8)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[407, 801])).
% 2.22/1.69 tff(803,assumption,(~always3(s8)), introduced(assumption)).
% 2.22/1.69 tff(804,plain,
% 2.22/1.69 (~always3(s7)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[440, 803])).
% 2.22/1.69 tff(805,plain,
% 2.22/1.69 (~always3(s6)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[452, 804])).
% 2.22/1.69 tff(806,plain,
% 2.22/1.69 (~always3(s5)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[464, 805])).
% 2.22/1.69 tff(807,plain,
% 2.22/1.69 (~always3(s4)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[476, 806])).
% 2.22/1.69 tff(808,plain,
% 2.22/1.69 (~always3(s3)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[488, 807])).
% 2.22/1.69 tff(809,plain,
% 2.22/1.69 (~always3(s2)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[42, 808])).
% 2.22/1.69 tff(810,plain,
% 2.22/1.69 (~node4(s2)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[542, 113, 809])).
% 2.22/1.69 tff(811,plain,
% 2.22/1.69 (~always3(s1)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[54, 809])).
% 2.22/1.69 tff(812,plain,
% 2.22/1.69 (~node4(s1)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[494, 113, 811])).
% 2.22/1.69 tff(813,plain,
% 2.22/1.69 (xuntil6(s1)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[750, 812])).
% 2.22/1.69 tff(814,plain,
% 2.22/1.69 (until5(s2)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[538, 813])).
% 2.22/1.69 tff(815,plain,
% 2.22/1.69 (xuntil6(s2)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[549, 225, 814, 810])).
% 2.22/1.69 tff(816,plain,
% 2.22/1.69 (until5(s3)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[555, 815])).
% 2.22/1.69 tff(817,plain,
% 2.22/1.69 (~node4(s3)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[559, 113, 808])).
% 2.22/1.69 tff(818,plain,
% 2.22/1.69 (xuntil6(s3) | (~until5(s3))),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[566, 225, 817])).
% 2.22/1.69 tff(819,plain,
% 2.22/1.69 (xuntil6(s3)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[818, 816])).
% 2.22/1.69 tff(820,plain,
% 2.22/1.69 (until5(s4)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[572, 819])).
% 2.22/1.69 tff(821,plain,
% 2.22/1.69 (~node4(s4)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[576, 113, 807])).
% 2.22/1.69 tff(822,plain,
% 2.22/1.69 (xuntil6(s4) | (~until5(s4))),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[583, 225, 821])).
% 2.22/1.69 tff(823,plain,
% 2.22/1.69 (xuntil6(s4)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[822, 820])).
% 2.22/1.69 tff(824,plain,
% 2.22/1.69 (until5(s5)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[589, 823])).
% 2.22/1.69 tff(825,plain,
% 2.22/1.69 (~node4(s5)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[593, 113, 806])).
% 2.22/1.69 tff(826,plain,
% 2.22/1.69 (xuntil6(s5) | (~until5(s5))),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[600, 225, 825])).
% 2.22/1.69 tff(827,plain,
% 2.22/1.69 (xuntil6(s5)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[826, 824])).
% 2.22/1.69 tff(828,plain,
% 2.22/1.69 (until5(s6)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[606, 827])).
% 2.22/1.69 tff(829,plain,
% 2.22/1.69 (~node4(s6)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[610, 113, 805])).
% 2.22/1.69 tff(830,plain,
% 2.22/1.69 (xuntil6(s6) | (~until5(s6))),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[617, 225, 829])).
% 2.22/1.69 tff(831,plain,
% 2.22/1.69 (xuntil6(s6)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[830, 828])).
% 2.22/1.69 tff(832,plain,
% 2.22/1.69 (until5(s7)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[623, 831])).
% 2.22/1.69 tff(833,plain,
% 2.22/1.69 (~node4(s7)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[627, 113, 804])).
% 2.22/1.69 tff(834,plain,
% 2.22/1.69 (xuntil6(s7) | (~until5(s7))),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[634, 225, 833])).
% 2.22/1.69 tff(835,plain,
% 2.22/1.69 (xuntil6(s7)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[834, 832])).
% 2.22/1.69 tff(836,plain,
% 2.22/1.69 (until5(s8)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[640, 835])).
% 2.22/1.69 tff(837,assumption,(~xuntil6(s8)), introduced(assumption)).
% 2.22/1.69 tff(838,plain,
% 2.22/1.69 (node4(s8) | (~until5(s8))),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[427, 225, 837])).
% 2.22/1.69 tff(839,plain,
% 2.22/1.69 (node4(s8)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[838, 836])).
% 2.22/1.69 tff(840,plain,
% 2.22/1.69 ($false),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[420, 113, 803, 839])).
% 2.22/1.69 tff(841,plain,(always3(s8) | xuntil6(s8) | (~until5(s1))), inference(lemma,lemma(discharge,[]))).
% 2.22/1.69 tff(842,plain,
% 2.22/1.69 (always3(s8) | xuntil6(s8)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[841, 722])).
% 2.22/1.69 tff(843,plain,
% 2.22/1.69 (always3(s8)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[842, 802])).
% 2.22/1.69 tff(844,plain,
% 2.22/1.69 (((~![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)))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(845,plain,
% 2.22/1.69 (((~m_main_v_state(s8, c_busy)) | (~always3(s8))) <=> ((~always3(s8)) | (~m_main_v_state(s8, c_busy)))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(846,plain,
% 2.22/1.69 (((~![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))))),
% 2.22/1.69 inference(monotonicity,[status(thm)],[845])).
% 2.22/1.69 tff(847,plain,
% 2.22/1.69 (((~![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)))),
% 2.22/1.69 inference(transitivity,[status(thm)],[846, 844])).
% 2.22/1.69 tff(848,plain,
% 2.22/1.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s8, c_busy)) | (~always3(s8)))),
% 2.22/1.69 inference(quant_inst,[status(thm)],[])).
% 2.22/1.69 tff(849,plain,
% 2.22/1.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s8)) | (~m_main_v_state(s8, c_busy))),
% 2.22/1.69 inference(modus_ponens,[status(thm)],[848, 847])).
% 2.22/1.69 tff(850,plain,
% 2.22/1.69 (~m_main_v_state(s8, c_busy)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[849, 145, 843])).
% 2.22/1.69 tff(851,plain,
% 2.22/1.69 (((~![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))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(852,plain,
% 2.22/1.69 ((~![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))),
% 2.22/1.69 inference(quant_inst,[status(thm)],[])).
% 2.22/1.69 tff(853,plain,
% 2.22/1.69 ((~![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)),
% 2.22/1.69 inference(modus_ponens,[status(thm)],[852, 851])).
% 2.22/1.69 tff(854,plain,
% 2.22/1.69 (m_main_v_state(s8, c_ready)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[853, 188, 850])).
% 2.22/1.69 tff(855,assumption,(~m_main_v_state(s8, c_busy)), introduced(assumption)).
% 2.22/1.69 tff(856,assumption,(node4(s7)), introduced(assumption)).
% 2.22/1.69 tff(857,plain,
% 2.22/1.69 (((~![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)))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(858,plain,
% 2.22/1.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s7) | (~node4(s7)))),
% 2.22/1.69 inference(quant_inst,[status(thm)],[])).
% 2.22/1.69 tff(859,plain,
% 2.22/1.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s7) | (~node4(s7))),
% 2.22/1.69 inference(modus_ponens,[status(thm)],[858, 857])).
% 2.22/1.69 tff(860,plain,
% 2.22/1.69 (m_main_v_request(s7)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[859, 63, 856])).
% 2.22/1.69 tff(861,plain,
% 2.22/1.69 (((~![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))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(862,plain,
% 2.22/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s7, s8)) | node2(s7, s8))),
% 2.22/1.69 inference(quant_inst,[status(thm)],[])).
% 2.22/1.69 tff(863,plain,
% 2.22/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s7, s8)) | node2(s7, s8)),
% 2.22/1.69 inference(modus_ponens,[status(thm)],[862, 861])).
% 2.22/1.69 tff(864,plain,
% 2.22/1.69 (node2(s7, s8)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[863, 7, 436])).
% 2.22/1.69 tff(865,plain,
% 2.22/1.69 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(866,plain,
% 2.22/1.69 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s7, c_ready)) | (~node2(s7, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7)))),
% 2.22/1.69 inference(quant_inst,[status(thm)],[])).
% 2.22/1.69 tff(867,plain,
% 2.22/1.69 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s7, c_ready)) | (~node2(s7, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7))),
% 2.22/1.69 inference(modus_ponens,[status(thm)],[866, 865])).
% 2.22/1.69 tff(868,plain,
% 2.22/1.69 ((~m_main_v_state(s7, c_ready)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7))),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[867, 166, 864])).
% 2.22/1.69 tff(869,plain,
% 2.22/1.69 (~m_main_v_state(s7, c_ready)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[868, 860, 855])).
% 2.22/1.69 tff(870,plain,
% 2.22/1.69 (always3(s7)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[627, 113, 856])).
% 2.22/1.69 tff(871,plain,
% 2.22/1.69 (((~![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)))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(872,plain,
% 2.22/1.69 (((~m_main_v_state(s7, c_busy)) | (~always3(s7))) <=> ((~always3(s7)) | (~m_main_v_state(s7, c_busy)))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(873,plain,
% 2.22/1.69 (((~![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))))),
% 2.22/1.69 inference(monotonicity,[status(thm)],[872])).
% 2.22/1.69 tff(874,plain,
% 2.22/1.69 (((~![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)))),
% 2.22/1.69 inference(transitivity,[status(thm)],[873, 871])).
% 2.22/1.69 tff(875,plain,
% 2.22/1.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s7, c_busy)) | (~always3(s7)))),
% 2.22/1.69 inference(quant_inst,[status(thm)],[])).
% 2.22/1.69 tff(876,plain,
% 2.22/1.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s7)) | (~m_main_v_state(s7, c_busy))),
% 2.22/1.69 inference(modus_ponens,[status(thm)],[875, 874])).
% 2.22/1.69 tff(877,plain,
% 2.22/1.69 (~m_main_v_state(s7, c_busy)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[876, 145, 870])).
% 2.22/1.69 tff(878,plain,
% 2.22/1.69 (((~![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))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(879,plain,
% 2.22/1.69 ((~![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))),
% 2.22/1.69 inference(quant_inst,[status(thm)],[])).
% 2.22/1.69 tff(880,plain,
% 2.22/1.69 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s7, c_busy) | m_main_v_state(s7, c_ready)),
% 2.22/1.69 inference(modus_ponens,[status(thm)],[879, 878])).
% 2.22/1.69 tff(881,plain,
% 2.22/1.69 ($false),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[880, 188, 877, 869])).
% 2.22/1.69 tff(882,plain,((~node4(s7)) | m_main_v_state(s8, c_busy)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.69 tff(883,plain,
% 2.22/1.69 (~node4(s7)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[882, 850])).
% 2.22/1.69 tff(884,assumption,(~xuntil6(s6)), introduced(assumption)).
% 2.22/1.69 tff(885,assumption,(~always3(s6)), introduced(assumption)).
% 2.22/1.69 tff(886,plain,
% 2.22/1.69 (~always3(s5)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[464, 885])).
% 2.22/1.69 tff(887,plain,
% 2.22/1.69 (~node4(s5)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[593, 113, 886])).
% 2.22/1.69 tff(888,plain,
% 2.22/1.69 (~node4(s6)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[610, 113, 885])).
% 2.22/1.69 tff(889,plain,
% 2.22/1.69 (node4(s6) | (~until5(s6))),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[617, 225, 884])).
% 2.22/1.69 tff(890,plain,
% 2.22/1.69 (~until5(s6)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[889, 888])).
% 2.22/1.69 tff(891,plain,
% 2.22/1.69 (~xuntil6(s5)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[606, 890])).
% 2.22/1.69 tff(892,plain,
% 2.22/1.69 (~until5(s5)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[600, 225, 891, 887])).
% 2.22/1.69 tff(893,plain,
% 2.22/1.69 (~always3(s4)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[476, 886])).
% 2.22/1.69 tff(894,plain,
% 2.22/1.69 (~node4(s4)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[576, 113, 893])).
% 2.22/1.69 tff(895,plain,
% 2.22/1.69 (~always3(s3)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[488, 893])).
% 2.22/1.69 tff(896,plain,
% 2.22/1.69 (~node4(s3)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[559, 113, 895])).
% 2.22/1.69 tff(897,assumption,(~xuntil6(s2)), introduced(assumption)).
% 2.22/1.69 tff(898,assumption,(~always3(s2)), introduced(assumption)).
% 2.22/1.69 tff(899,plain,
% 2.22/1.69 (~node4(s2)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[542, 113, 898])).
% 2.22/1.69 tff(900,plain,
% 2.22/1.69 (node4(s2) | (~until5(s2))),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[549, 225, 897])).
% 2.22/1.69 tff(901,plain,
% 2.22/1.69 (~until5(s2)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[900, 899])).
% 2.22/1.69 tff(902,plain,
% 2.22/1.69 (~always3(s1)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[54, 898])).
% 2.22/1.69 tff(903,plain,
% 2.22/1.69 (~node4(s1)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[494, 113, 902])).
% 2.22/1.69 tff(904,plain,
% 2.22/1.69 (xuntil6(s1)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[750, 903])).
% 2.22/1.69 tff(905,plain,
% 2.22/1.69 ($false),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[538, 904, 901])).
% 2.22/1.69 tff(906,plain,(always3(s2) | (~until5(s1)) | xuntil6(s2)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.69 tff(907,plain,
% 2.22/1.69 (always3(s2)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[906, 897, 749])).
% 2.22/1.69 tff(908,plain,
% 2.22/1.69 (((~![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)))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(909,plain,
% 2.22/1.69 (((~m_main_v_state(s2, c_busy)) | (~always3(s2))) <=> ((~always3(s2)) | (~m_main_v_state(s2, c_busy)))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(910,plain,
% 2.22/1.69 (((~![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))))),
% 2.22/1.69 inference(monotonicity,[status(thm)],[909])).
% 2.22/1.69 tff(911,plain,
% 2.22/1.69 (((~![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)))),
% 2.22/1.69 inference(transitivity,[status(thm)],[910, 908])).
% 2.22/1.69 tff(912,plain,
% 2.22/1.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s2, c_busy)) | (~always3(s2)))),
% 2.22/1.69 inference(quant_inst,[status(thm)],[])).
% 2.22/1.69 tff(913,plain,
% 2.22/1.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s2)) | (~m_main_v_state(s2, c_busy))),
% 2.22/1.69 inference(modus_ponens,[status(thm)],[912, 911])).
% 2.22/1.69 tff(914,plain,
% 2.22/1.69 (~m_main_v_state(s2, c_busy)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[913, 145, 907])).
% 2.22/1.69 tff(915,plain,
% 2.22/1.69 (always3(s3)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[42, 907])).
% 2.22/1.69 tff(916,plain,
% 2.22/1.69 (((~![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)))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(917,plain,
% 2.22/1.69 (((~m_main_v_state(s3, c_busy)) | (~always3(s3))) <=> ((~always3(s3)) | (~m_main_v_state(s3, c_busy)))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(918,plain,
% 2.22/1.69 (((~![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))))),
% 2.22/1.69 inference(monotonicity,[status(thm)],[917])).
% 2.22/1.69 tff(919,plain,
% 2.22/1.69 (((~![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)))),
% 2.22/1.69 inference(transitivity,[status(thm)],[918, 916])).
% 2.22/1.69 tff(920,plain,
% 2.22/1.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s3, c_busy)) | (~always3(s3)))),
% 2.22/1.69 inference(quant_inst,[status(thm)],[])).
% 2.22/1.69 tff(921,plain,
% 2.22/1.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s3)) | (~m_main_v_state(s3, c_busy))),
% 2.22/1.69 inference(modus_ponens,[status(thm)],[920, 919])).
% 2.22/1.69 tff(922,plain,
% 2.22/1.69 (~m_main_v_state(s3, c_busy)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[921, 145, 915])).
% 2.22/1.69 tff(923,plain,
% 2.22/1.69 (((~![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))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(924,plain,
% 2.22/1.69 ((~![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))),
% 2.22/1.69 inference(quant_inst,[status(thm)],[])).
% 2.22/1.69 tff(925,plain,
% 2.22/1.69 ((~![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)),
% 2.22/1.69 inference(modus_ponens,[status(thm)],[924, 923])).
% 2.22/1.69 tff(926,plain,
% 2.22/1.69 (m_main_v_state(s2, c_ready)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[925, 188, 914])).
% 2.22/1.69 tff(927,plain,
% 2.22/1.69 (((~![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))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(928,plain,
% 2.22/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s2, s3)) | node2(s2, s3))),
% 2.22/1.69 inference(quant_inst,[status(thm)],[])).
% 2.22/1.69 tff(929,plain,
% 2.22/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s2, s3)) | node2(s2, s3)),
% 2.22/1.69 inference(modus_ponens,[status(thm)],[928, 927])).
% 2.22/1.69 tff(930,plain,
% 2.22/1.69 (node2(s2, s3)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[929, 7, 28])).
% 2.22/1.69 tff(931,plain,
% 2.22/1.69 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(932,plain,
% 2.22/1.69 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s2, c_ready)) | (~node2(s2, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2)))),
% 2.22/1.69 inference(quant_inst,[status(thm)],[])).
% 2.22/1.69 tff(933,plain,
% 2.22/1.69 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s2, c_ready)) | (~node2(s2, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2))),
% 2.22/1.69 inference(modus_ponens,[status(thm)],[932, 931])).
% 2.22/1.69 tff(934,plain,
% 2.22/1.69 ((~m_main_v_state(s2, c_ready)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2))),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[933, 166, 930])).
% 2.22/1.69 tff(935,plain,
% 2.22/1.69 (~m_main_v_request(s2)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[934, 926, 922])).
% 2.22/1.69 tff(936,plain,
% 2.22/1.69 (((~![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)))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(937,plain,
% 2.22/1.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s2) | (~node4(s2)))),
% 2.22/1.69 inference(quant_inst,[status(thm)],[])).
% 2.22/1.69 tff(938,plain,
% 2.22/1.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s2) | (~node4(s2))),
% 2.22/1.69 inference(modus_ponens,[status(thm)],[937, 936])).
% 2.22/1.69 tff(939,plain,
% 2.22/1.69 (~node4(s2)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[938, 63, 935])).
% 2.22/1.69 tff(940,plain,
% 2.22/1.69 (~until5(s2)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[900, 939])).
% 2.22/1.69 tff(941,plain,
% 2.22/1.69 (~xuntil6(s1)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[538, 940])).
% 2.22/1.69 tff(942,plain,
% 2.22/1.69 (node4(s1)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[750, 941])).
% 2.22/1.69 tff(943,plain,
% 2.22/1.69 (((~![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)))),
% 2.22/1.69 inference(rewrite,[status(thm)],[])).
% 2.22/1.69 tff(944,plain,
% 2.22/1.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s1) | (~node4(s1)))),
% 2.22/1.69 inference(quant_inst,[status(thm)],[])).
% 2.22/1.69 tff(945,plain,
% 2.22/1.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s1) | (~node4(s1))),
% 2.22/1.69 inference(modus_ponens,[status(thm)],[944, 943])).
% 2.22/1.69 tff(946,plain,
% 2.22/1.69 (m_main_v_request(s1)),
% 2.22/1.69 inference(unit_resolution,[status(thm)],[945, 63, 942])).
% 2.22/1.69 tff(947,plain,
% 2.22/1.69 (((~![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))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(948,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s1, s2)) | node2(s1, s2))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(949,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s1, s2)) | node2(s1, s2)),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[948, 947])).
% 2.22/1.70 tff(950,plain,
% 2.22/1.70 (node2(s1, s2)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[949, 7, 50])).
% 2.22/1.70 tff(951,plain,
% 2.22/1.70 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(952,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s1, c_ready)) | (~node2(s1, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1)))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(953,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s1, c_ready)) | (~node2(s1, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1))),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[952, 951])).
% 2.22/1.70 tff(954,plain,
% 2.22/1.70 ((~m_main_v_state(s1, c_ready)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1))),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[953, 166, 950])).
% 2.22/1.70 tff(955,plain,
% 2.22/1.70 (~m_main_v_state(s1, c_ready)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[954, 946, 914])).
% 2.22/1.70 tff(956,plain,
% 2.22/1.70 (always3(s1)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[494, 113, 942])).
% 2.22/1.70 tff(957,plain,
% 2.22/1.70 (~m_main_v_state(s1, c_busy)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[718, 145, 956])).
% 2.22/1.70 tff(958,plain,
% 2.22/1.70 (((~![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))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(959,plain,
% 2.22/1.70 ((~![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))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(960,plain,
% 2.22/1.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s1, c_busy) | m_main_v_state(s1, c_ready)),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[959, 958])).
% 2.22/1.70 tff(961,plain,
% 2.22/1.70 ($false),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[960, 188, 957, 955])).
% 2.22/1.70 tff(962,plain,(xuntil6(s2) | (~until5(s1))), inference(lemma,lemma(discharge,[]))).
% 2.22/1.70 tff(963,plain,
% 2.22/1.70 (xuntil6(s2)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[962, 722])).
% 2.22/1.70 tff(964,plain,
% 2.22/1.70 (until5(s3)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[555, 963])).
% 2.22/1.70 tff(965,plain,
% 2.22/1.70 (xuntil6(s3) | node4(s3)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[566, 225, 964])).
% 2.22/1.70 tff(966,plain,
% 2.22/1.70 (xuntil6(s3)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[965, 896])).
% 2.22/1.70 tff(967,plain,
% 2.22/1.70 (until5(s4)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[572, 966])).
% 2.22/1.70 tff(968,plain,
% 2.22/1.70 (xuntil6(s4)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[583, 225, 967, 894])).
% 2.22/1.70 tff(969,plain,
% 2.22/1.70 ($false),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[589, 968, 892])).
% 2.22/1.70 tff(970,plain,(always3(s6) | xuntil6(s6)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.70 tff(971,plain,
% 2.22/1.70 (always3(s6)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[970, 884])).
% 2.22/1.70 tff(972,plain,
% 2.22/1.70 (always3(s7)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[452, 971])).
% 2.22/1.70 tff(973,plain,
% 2.22/1.70 (~m_main_v_state(s7, c_busy)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[876, 145, 972])).
% 2.22/1.70 tff(974,plain,
% 2.22/1.70 (((~![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)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(975,plain,
% 2.22/1.70 (((~m_main_v_state(s6, c_busy)) | (~always3(s6))) <=> ((~always3(s6)) | (~m_main_v_state(s6, c_busy)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(976,plain,
% 2.22/1.70 (((~![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))))),
% 2.22/1.70 inference(monotonicity,[status(thm)],[975])).
% 2.22/1.70 tff(977,plain,
% 2.22/1.70 (((~![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)))),
% 2.22/1.70 inference(transitivity,[status(thm)],[976, 974])).
% 2.22/1.70 tff(978,plain,
% 2.22/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s6, c_busy)) | (~always3(s6)))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(979,plain,
% 2.22/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s6)) | (~m_main_v_state(s6, c_busy))),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[978, 977])).
% 2.22/1.70 tff(980,plain,
% 2.22/1.70 (~m_main_v_state(s6, c_busy)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[979, 145, 971])).
% 2.22/1.70 tff(981,plain,
% 2.22/1.70 (((~![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))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(982,plain,
% 2.22/1.70 ((~![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))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(983,plain,
% 2.22/1.70 ((~![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)),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[982, 981])).
% 2.22/1.70 tff(984,plain,
% 2.22/1.70 (m_main_v_state(s6, c_ready)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[983, 188, 980])).
% 2.22/1.70 tff(985,assumption,(~m_main_v_state(s6, c_busy)), introduced(assumption)).
% 2.22/1.70 tff(986,assumption,(node4(s5)), introduced(assumption)).
% 2.22/1.70 tff(987,plain,
% 2.22/1.70 (((~![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)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(988,plain,
% 2.22/1.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s5) | (~node4(s5)))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(989,plain,
% 2.22/1.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s5) | (~node4(s5))),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[988, 987])).
% 2.22/1.70 tff(990,plain,
% 2.22/1.70 (m_main_v_request(s5)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[989, 63, 986])).
% 2.22/1.70 tff(991,plain,
% 2.22/1.70 (((~![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))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(992,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s5, s6)) | node2(s5, s6))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(993,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s5, s6)) | node2(s5, s6)),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[992, 991])).
% 2.22/1.70 tff(994,plain,
% 2.22/1.70 (node2(s5, s6)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[993, 7, 460])).
% 2.22/1.70 tff(995,plain,
% 2.22/1.70 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(996,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5)))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(997,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5))),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[996, 995])).
% 2.22/1.70 tff(998,plain,
% 2.22/1.70 ((~m_main_v_state(s5, c_ready)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5))),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[997, 166, 994])).
% 2.22/1.70 tff(999,plain,
% 2.22/1.70 (~m_main_v_state(s5, c_ready)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[998, 990, 985])).
% 2.22/1.70 tff(1000,plain,
% 2.22/1.70 (always3(s5)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[593, 113, 986])).
% 2.22/1.70 tff(1001,plain,
% 2.22/1.70 (((~![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)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1002,plain,
% 2.22/1.70 (((~m_main_v_state(s5, c_busy)) | (~always3(s5))) <=> ((~always3(s5)) | (~m_main_v_state(s5, c_busy)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1003,plain,
% 2.22/1.70 (((~![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))))),
% 2.22/1.70 inference(monotonicity,[status(thm)],[1002])).
% 2.22/1.70 tff(1004,plain,
% 2.22/1.70 (((~![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)))),
% 2.22/1.70 inference(transitivity,[status(thm)],[1003, 1001])).
% 2.22/1.70 tff(1005,plain,
% 2.22/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s5, c_busy)) | (~always3(s5)))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(1006,plain,
% 2.22/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s5)) | (~m_main_v_state(s5, c_busy))),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[1005, 1004])).
% 2.22/1.70 tff(1007,plain,
% 2.22/1.70 (~m_main_v_state(s5, c_busy)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1006, 145, 1000])).
% 2.22/1.70 tff(1008,plain,
% 2.22/1.70 (((~![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))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1009,plain,
% 2.22/1.70 ((~![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))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(1010,plain,
% 2.22/1.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s5, c_busy) | m_main_v_state(s5, c_ready)),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[1009, 1008])).
% 2.22/1.70 tff(1011,plain,
% 2.22/1.70 ($false),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1010, 188, 1007, 999])).
% 2.22/1.70 tff(1012,plain,((~node4(s5)) | m_main_v_state(s6, c_busy)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.70 tff(1013,plain,
% 2.22/1.70 (~node4(s5)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1012, 980])).
% 2.22/1.70 tff(1014,assumption,(~xuntil6(s4)), introduced(assumption)).
% 2.22/1.70 tff(1015,assumption,(~always3(s4)), introduced(assumption)).
% 2.22/1.70 tff(1016,plain,
% 2.22/1.70 (~node4(s4)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[576, 113, 1015])).
% 2.22/1.70 tff(1017,plain,
% 2.22/1.70 (node4(s4) | (~until5(s4))),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[583, 225, 1014])).
% 2.22/1.70 tff(1018,plain,
% 2.22/1.70 (~until5(s4)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1017, 1016])).
% 2.22/1.70 tff(1019,plain,
% 2.22/1.70 (~always3(s3)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[488, 1015])).
% 2.22/1.70 tff(1020,plain,
% 2.22/1.70 (~node4(s3)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[559, 113, 1019])).
% 2.22/1.70 tff(1021,plain,
% 2.22/1.70 (xuntil6(s3)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[965, 1020])).
% 2.22/1.70 tff(1022,plain,
% 2.22/1.70 ($false),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[572, 1021, 1018])).
% 2.22/1.70 tff(1023,plain,(always3(s4) | xuntil6(s4)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.70 tff(1024,plain,
% 2.22/1.70 (always3(s4)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1023, 1014])).
% 2.22/1.70 tff(1025,plain,
% 2.22/1.70 (((~![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)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1026,plain,
% 2.22/1.70 (((~m_main_v_state(s4, c_busy)) | (~always3(s4))) <=> ((~always3(s4)) | (~m_main_v_state(s4, c_busy)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1027,plain,
% 2.22/1.70 (((~![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))))),
% 2.22/1.70 inference(monotonicity,[status(thm)],[1026])).
% 2.22/1.70 tff(1028,plain,
% 2.22/1.70 (((~![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)))),
% 2.22/1.70 inference(transitivity,[status(thm)],[1027, 1025])).
% 2.22/1.70 tff(1029,plain,
% 2.22/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s4, c_busy)) | (~always3(s4)))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(1030,plain,
% 2.22/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s4)) | (~m_main_v_state(s4, c_busy))),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 2.22/1.70 tff(1031,plain,
% 2.22/1.70 (~m_main_v_state(s4, c_busy)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1030, 145, 1024])).
% 2.22/1.70 tff(1032,plain,
% 2.22/1.70 (always3(s5)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[476, 1024])).
% 2.22/1.70 tff(1033,plain,
% 2.22/1.70 (~m_main_v_state(s5, c_busy)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1006, 145, 1032])).
% 2.22/1.70 tff(1034,plain,
% 2.22/1.70 (((~![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))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1035,plain,
% 2.22/1.70 ((~![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))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(1036,plain,
% 2.22/1.70 ((~![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)),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[1035, 1034])).
% 2.22/1.70 tff(1037,plain,
% 2.22/1.70 (m_main_v_state(s4, c_ready)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1036, 188, 1031])).
% 2.22/1.70 tff(1038,plain,
% 2.22/1.70 (((~![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))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1039,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s4, s5)) | node2(s4, s5))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(1040,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s4, s5)) | node2(s4, s5)),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[1039, 1038])).
% 2.22/1.70 tff(1041,plain,
% 2.22/1.70 (node2(s4, s5)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1040, 7, 472])).
% 2.22/1.70 tff(1042,plain,
% 2.22/1.70 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1043,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s4, c_ready)) | (~node2(s4, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4)))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(1044,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s4, c_ready)) | (~node2(s4, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4))),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[1043, 1042])).
% 2.22/1.70 tff(1045,plain,
% 2.22/1.70 ((~m_main_v_state(s4, c_ready)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4))),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1044, 166, 1041])).
% 2.22/1.70 tff(1046,plain,
% 2.22/1.70 (~m_main_v_request(s4)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1045, 1037, 1033])).
% 2.22/1.70 tff(1047,plain,
% 2.22/1.70 (((~![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)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1048,plain,
% 2.22/1.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s4) | (~node4(s4)))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(1049,plain,
% 2.22/1.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s4) | (~node4(s4))),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[1048, 1047])).
% 2.22/1.70 tff(1050,plain,
% 2.22/1.70 (~node4(s4)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1049, 63, 1046])).
% 2.22/1.70 tff(1051,plain,
% 2.22/1.70 (~until5(s4)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1017, 1050])).
% 2.22/1.70 tff(1052,plain,
% 2.22/1.70 (~xuntil6(s3)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[572, 1051])).
% 2.22/1.70 tff(1053,plain,
% 2.22/1.70 (node4(s3)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[965, 1052])).
% 2.22/1.70 tff(1054,plain,
% 2.22/1.70 (((~![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)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1055,plain,
% 2.22/1.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s3) | (~node4(s3)))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(1056,plain,
% 2.22/1.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s3) | (~node4(s3))),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[1055, 1054])).
% 2.22/1.70 tff(1057,plain,
% 2.22/1.70 (m_main_v_request(s3)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1056, 63, 1053])).
% 2.22/1.70 tff(1058,plain,
% 2.22/1.70 (((~![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))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1059,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s3, s4)) | node2(s3, s4))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(1060,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s3, s4)) | node2(s3, s4)),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[1059, 1058])).
% 2.22/1.70 tff(1061,plain,
% 2.22/1.70 (node2(s3, s4)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1060, 7, 484])).
% 2.22/1.70 tff(1062,plain,
% 2.22/1.70 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1063,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3)))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(1064,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3))),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[1063, 1062])).
% 2.22/1.70 tff(1065,plain,
% 2.22/1.70 ((~m_main_v_state(s3, c_ready)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3))),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1064, 166, 1061])).
% 2.22/1.70 tff(1066,plain,
% 2.22/1.70 (~m_main_v_state(s3, c_ready)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1065, 1057, 1031])).
% 2.22/1.70 tff(1067,plain,
% 2.22/1.70 (always3(s3)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[559, 113, 1053])).
% 2.22/1.70 tff(1068,plain,
% 2.22/1.70 (~m_main_v_state(s3, c_busy)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[921, 145, 1067])).
% 2.22/1.70 tff(1069,plain,
% 2.22/1.70 (((~![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))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1070,plain,
% 2.22/1.70 ((~![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))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(1071,plain,
% 2.22/1.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s3, c_busy) | m_main_v_state(s3, c_ready)),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[1070, 1069])).
% 2.22/1.70 tff(1072,plain,
% 2.22/1.70 ($false),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1071, 188, 1068, 1066])).
% 2.22/1.70 tff(1073,plain,(xuntil6(s4)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.70 tff(1074,plain,
% 2.22/1.70 (until5(s5)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[589, 1073])).
% 2.22/1.70 tff(1075,plain,
% 2.22/1.70 (xuntil6(s5) | node4(s5)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[600, 225, 1074])).
% 2.22/1.70 tff(1076,plain,
% 2.22/1.70 (xuntil6(s5)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1075, 1013])).
% 2.22/1.70 tff(1077,plain,
% 2.22/1.70 (until5(s6)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[606, 1076])).
% 2.22/1.70 tff(1078,plain,
% 2.22/1.70 (node4(s6)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[889, 1077])).
% 2.22/1.70 tff(1079,plain,
% 2.22/1.70 (((~![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)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1080,plain,
% 2.22/1.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s6) | (~node4(s6)))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(1081,plain,
% 2.22/1.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s6) | (~node4(s6))),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[1080, 1079])).
% 2.22/1.70 tff(1082,plain,
% 2.22/1.70 (m_main_v_request(s6)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1081, 63, 1078])).
% 2.22/1.70 tff(1083,plain,
% 2.22/1.70 (((~![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))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1084,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s6, s7)) | node2(s6, s7))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(1085,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s6, s7)) | node2(s6, s7)),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[1084, 1083])).
% 2.22/1.70 tff(1086,plain,
% 2.22/1.70 (node2(s6, s7)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1085, 7, 448])).
% 2.22/1.70 tff(1087,plain,
% 2.22/1.70 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1088,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6)))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(1089,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6))),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[1088, 1087])).
% 2.22/1.70 tff(1090,plain,
% 2.22/1.70 ((~m_main_v_state(s6, c_ready)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6))),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1089, 166, 1086])).
% 2.22/1.70 tff(1091,plain,
% 2.22/1.70 ($false),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1090, 1082, 984, 973])).
% 2.22/1.70 tff(1092,plain,(xuntil6(s6)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.70 tff(1093,plain,
% 2.22/1.70 (until5(s7)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[623, 1092])).
% 2.22/1.70 tff(1094,plain,
% 2.22/1.70 (xuntil6(s7) | node4(s7)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[634, 225, 1093])).
% 2.22/1.70 tff(1095,plain,
% 2.22/1.70 (xuntil6(s7)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1094, 883])).
% 2.22/1.70 tff(1096,plain,
% 2.22/1.70 (until5(s8)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[640, 1095])).
% 2.22/1.70 tff(1097,plain,
% 2.22/1.70 (node4(s8) | (~until5(s8))),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[427, 225, 802])).
% 2.22/1.70 tff(1098,plain,
% 2.22/1.70 (node4(s8)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1097, 1096])).
% 2.22/1.70 tff(1099,plain,
% 2.22/1.70 (((~![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)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1100,plain,
% 2.22/1.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s8) | (~node4(s8)))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(1101,plain,
% 2.22/1.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s8) | (~node4(s8))),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[1100, 1099])).
% 2.22/1.70 tff(1102,plain,
% 2.22/1.70 (m_main_v_request(s8)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1101, 63, 1098])).
% 2.22/1.70 tff(1103,plain,
% 2.22/1.70 (((~![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))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1104,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s8, s9)) | node2(s8, s9))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(1105,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s8, s9)) | node2(s8, s9)),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[1104, 1103])).
% 2.22/1.70 tff(1106,plain,
% 2.22/1.70 (node2(s8, s9)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1105, 7, 412])).
% 2.22/1.70 tff(1107,plain,
% 2.22/1.70 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1108,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s8, c_ready)) | (~node2(s8, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8)))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(1109,plain,
% 2.22/1.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s8, c_ready)) | (~node2(s8, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8))),
% 2.22/1.70 inference(modus_ponens,[status(thm)],[1108, 1107])).
% 2.22/1.70 tff(1110,plain,
% 2.22/1.70 ((~m_main_v_state(s8, c_ready)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8))),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1109, 166, 1106])).
% 2.22/1.70 tff(1111,plain,
% 2.22/1.70 ($false),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1110, 1102, 854, 775])).
% 2.22/1.70 tff(1112,plain,(xuntil6(s9)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.70 tff(1113,plain,
% 2.22/1.70 (until5(s10)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[378, 1112])).
% 2.22/1.70 tff(1114,assumption,(~xuntil6(s12)), introduced(assumption)).
% 2.22/1.70 tff(1115,assumption,(until5(s10)), introduced(assumption)).
% 2.22/1.70 tff(1116,assumption,(~always3(s12)), introduced(assumption)).
% 2.22/1.70 tff(1117,plain,
% 2.22/1.70 (~always3(s11)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[329, 1116])).
% 2.22/1.70 tff(1118,plain,
% 2.22/1.70 (~node4(s11)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[333, 113, 1117])).
% 2.22/1.70 tff(1119,plain,
% 2.22/1.70 (~node4(s12)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[304, 113, 1116])).
% 2.22/1.70 tff(1120,plain,
% 2.22/1.70 (node4(s12) | (~until5(s12))),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[311, 225, 1114])).
% 2.22/1.70 tff(1121,plain,
% 2.22/1.70 (~until5(s12)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1120, 1119])).
% 2.22/1.70 tff(1122,plain,
% 2.22/1.70 (~xuntil6(s11)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[320, 1121])).
% 2.22/1.70 tff(1123,plain,
% 2.22/1.70 (~always3(s10)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[358, 1117])).
% 2.22/1.70 tff(1124,plain,
% 2.22/1.70 (~node4(s10)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[362, 113, 1123])).
% 2.22/1.70 tff(1125,plain,
% 2.22/1.70 (xuntil6(s10) | node4(s10)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[369, 225, 1115])).
% 2.22/1.70 tff(1126,plain,
% 2.22/1.70 (xuntil6(s10)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1125, 1124])).
% 2.22/1.70 tff(1127,plain,
% 2.22/1.70 (until5(s11)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[349, 1126])).
% 2.22/1.70 tff(1128,plain,
% 2.22/1.70 ($false),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[340, 225, 1127, 1122, 1118])).
% 2.22/1.70 tff(1129,plain,(always3(s12) | (~until5(s10)) | xuntil6(s12)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.70 tff(1130,plain,
% 2.22/1.70 (always3(s12)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[1129, 1114, 1115])).
% 2.22/1.70 tff(1131,plain,
% 2.22/1.70 (always3(s13)),
% 2.22/1.70 inference(unit_resolution,[status(thm)],[300, 1130])).
% 2.22/1.70 tff(1132,plain,
% 2.22/1.70 (((~![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)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1133,plain,
% 2.22/1.70 (((~m_main_v_state(s13, c_busy)) | (~always3(s13))) <=> ((~always3(s13)) | (~m_main_v_state(s13, c_busy)))),
% 2.22/1.70 inference(rewrite,[status(thm)],[])).
% 2.22/1.70 tff(1134,plain,
% 2.22/1.70 (((~![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))))),
% 2.22/1.70 inference(monotonicity,[status(thm)],[1133])).
% 2.22/1.70 tff(1135,plain,
% 2.22/1.70 (((~![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)))),
% 2.22/1.70 inference(transitivity,[status(thm)],[1134, 1132])).
% 2.22/1.70 tff(1136,plain,
% 2.22/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s13, c_busy)) | (~always3(s13)))),
% 2.22/1.70 inference(quant_inst,[status(thm)],[])).
% 2.22/1.70 tff(1137,plain,
% 2.22/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s13)) | (~m_main_v_state(s13, c_busy))),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1136, 1135])).
% 2.22/1.71 tff(1138,plain,
% 2.22/1.71 (~m_main_v_state(s13, c_busy)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1137, 145, 1131])).
% 2.22/1.71 tff(1139,assumption,(until5(s12)), introduced(assumption)).
% 2.22/1.71 tff(1140,plain,
% 2.22/1.71 (xuntil6(s12) | node4(s12)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[311, 225, 1139])).
% 2.22/1.71 tff(1141,plain,
% 2.22/1.71 (node4(s12)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1140, 1114])).
% 2.22/1.71 tff(1142,plain,
% 2.22/1.71 (((~![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)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1143,plain,
% 2.22/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s12) | (~node4(s12)))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1144,plain,
% 2.22/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s12) | (~node4(s12))),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1143, 1142])).
% 2.22/1.71 tff(1145,plain,
% 2.22/1.71 (m_main_v_request(s12)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1144, 63, 1141])).
% 2.22/1.71 tff(1146,plain,
% 2.22/1.71 (((~![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))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1147,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s12, s13)) | node2(s12, s13))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1148,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s12, s13)) | node2(s12, s13)),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1147, 1146])).
% 2.22/1.71 tff(1149,plain,
% 2.22/1.71 (node2(s12, s13)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1148, 7, 296])).
% 2.22/1.71 tff(1150,plain,
% 2.22/1.71 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1151,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s12, c_ready)) | (~node2(s12, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12)))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1152,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s12, c_ready)) | (~node2(s12, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12))),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1151, 1150])).
% 2.22/1.71 tff(1153,plain,
% 2.22/1.71 ((~m_main_v_state(s12, c_ready)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12))),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1152, 166, 1149])).
% 2.22/1.71 tff(1154,plain,
% 2.22/1.71 (~m_main_v_state(s12, c_ready)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1153, 1145, 1138])).
% 2.22/1.71 tff(1155,plain,
% 2.22/1.71 (((~![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)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1156,plain,
% 2.22/1.71 (((~m_main_v_state(s12, c_busy)) | (~always3(s12))) <=> ((~always3(s12)) | (~m_main_v_state(s12, c_busy)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1157,plain,
% 2.22/1.71 (((~![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))))),
% 2.22/1.71 inference(monotonicity,[status(thm)],[1156])).
% 2.22/1.71 tff(1158,plain,
% 2.22/1.71 (((~![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)))),
% 2.22/1.71 inference(transitivity,[status(thm)],[1157, 1155])).
% 2.22/1.71 tff(1159,plain,
% 2.22/1.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s12, c_busy)) | (~always3(s12)))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1160,plain,
% 2.22/1.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s12)) | (~m_main_v_state(s12, c_busy))),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1159, 1158])).
% 2.22/1.71 tff(1161,plain,
% 2.22/1.71 (~m_main_v_state(s12, c_busy)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1160, 145, 1130])).
% 2.22/1.71 tff(1162,plain,
% 2.22/1.71 (((~![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))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1163,plain,
% 2.22/1.71 ((~![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))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1164,plain,
% 2.22/1.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s12, c_busy) | m_main_v_state(s12, c_ready)),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1163, 1162])).
% 2.22/1.71 tff(1165,plain,
% 2.22/1.71 ($false),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1164, 188, 1161, 1154])).
% 2.22/1.71 tff(1166,plain,(xuntil6(s12) | (~until5(s12)) | (~until5(s10))), inference(lemma,lemma(discharge,[]))).
% 2.22/1.71 tff(1167,plain,
% 2.22/1.71 (~until5(s12)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1166, 1114, 1113])).
% 2.22/1.71 tff(1168,plain,
% 2.22/1.71 (~xuntil6(s11)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[320, 1167])).
% 2.22/1.71 tff(1169,assumption,(node4(s10)), introduced(assumption)).
% 2.22/1.71 tff(1170,plain,
% 2.22/1.71 (((~![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)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1171,plain,
% 2.22/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s10) | (~node4(s10)))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1172,plain,
% 2.22/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s10) | (~node4(s10))),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1171, 1170])).
% 2.22/1.71 tff(1173,plain,
% 2.22/1.71 (m_main_v_request(s10)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1172, 63, 1169])).
% 2.22/1.71 tff(1174,plain,
% 2.22/1.71 (always3(s10)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[362, 113, 1169])).
% 2.22/1.71 tff(1175,plain,
% 2.22/1.71 (always3(s11)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[358, 1174])).
% 2.22/1.71 tff(1176,plain,
% 2.22/1.71 (((~![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)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1177,plain,
% 2.22/1.71 (((~m_main_v_state(s11, c_busy)) | (~always3(s11))) <=> ((~always3(s11)) | (~m_main_v_state(s11, c_busy)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1178,plain,
% 2.22/1.71 (((~![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))))),
% 2.22/1.71 inference(monotonicity,[status(thm)],[1177])).
% 2.22/1.71 tff(1179,plain,
% 2.22/1.71 (((~![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)))),
% 2.22/1.71 inference(transitivity,[status(thm)],[1178, 1176])).
% 2.22/1.71 tff(1180,plain,
% 2.22/1.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s11, c_busy)) | (~always3(s11)))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1181,plain,
% 2.22/1.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s11)) | (~m_main_v_state(s11, c_busy))),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1180, 1179])).
% 2.22/1.71 tff(1182,plain,
% 2.22/1.71 (~m_main_v_state(s11, c_busy)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1181, 145, 1175])).
% 2.22/1.71 tff(1183,plain,
% 2.22/1.71 (((~![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))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1184,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s10, s11)) | node2(s10, s11))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1185,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s10, s11)) | node2(s10, s11)),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1184, 1183])).
% 2.22/1.71 tff(1186,plain,
% 2.22/1.71 (node2(s10, s11)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1185, 7, 354])).
% 2.22/1.71 tff(1187,plain,
% 2.22/1.71 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1188,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s10, c_ready)) | (~node2(s10, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10)))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1189,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s10, c_ready)) | (~node2(s10, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10))),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1188, 1187])).
% 2.22/1.71 tff(1190,plain,
% 2.22/1.71 ((~m_main_v_state(s10, c_ready)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10))),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1189, 166, 1186])).
% 2.22/1.71 tff(1191,plain,
% 2.22/1.71 (~m_main_v_state(s10, c_ready)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1190, 1182, 1173])).
% 2.22/1.71 tff(1192,plain,
% 2.22/1.71 (~m_main_v_state(s10, c_busy)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[782, 145, 1174])).
% 2.22/1.71 tff(1193,plain,
% 2.22/1.71 (((~![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))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1194,plain,
% 2.22/1.71 ((~![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))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1195,plain,
% 2.22/1.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s10, c_busy) | m_main_v_state(s10, c_ready)),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1194, 1193])).
% 2.22/1.71 tff(1196,plain,
% 2.22/1.71 ($false),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1195, 188, 1192, 1191])).
% 2.22/1.71 tff(1197,plain,(~node4(s10)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.71 tff(1198,plain,
% 2.22/1.71 (xuntil6(s10) | (~until5(s10))),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[369, 225, 1197])).
% 2.22/1.71 tff(1199,plain,
% 2.22/1.71 (xuntil6(s10)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1198, 1113])).
% 2.22/1.71 tff(1200,plain,
% 2.22/1.71 (until5(s11)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[349, 1199])).
% 2.22/1.71 tff(1201,plain,
% 2.22/1.71 (xuntil6(s11) | node4(s11)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[340, 225, 1200])).
% 2.22/1.71 tff(1202,plain,
% 2.22/1.71 (node4(s11)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1201, 1168])).
% 2.22/1.71 tff(1203,assumption,(~m_main_v_state(s12, c_busy)), introduced(assumption)).
% 2.22/1.71 tff(1204,assumption,(node4(s11)), introduced(assumption)).
% 2.22/1.71 tff(1205,plain,
% 2.22/1.71 (((~![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)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1206,plain,
% 2.22/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s11) | (~node4(s11)))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1207,plain,
% 2.22/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s11) | (~node4(s11))),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1206, 1205])).
% 2.22/1.71 tff(1208,plain,
% 2.22/1.71 (m_main_v_request(s11)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1207, 63, 1204])).
% 2.22/1.71 tff(1209,plain,
% 2.22/1.71 (((~![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))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1210,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s11, s12)) | node2(s11, s12))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1211,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s11, s12)) | node2(s11, s12)),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1210, 1209])).
% 2.22/1.71 tff(1212,plain,
% 2.22/1.71 (node2(s11, s12)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1211, 7, 325])).
% 2.22/1.71 tff(1213,plain,
% 2.22/1.71 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1214,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s11, c_ready)) | (~node2(s11, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11)))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1215,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s11, c_ready)) | (~node2(s11, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11))),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1214, 1213])).
% 2.22/1.71 tff(1216,plain,
% 2.22/1.71 ((~m_main_v_state(s11, c_ready)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11))),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1215, 166, 1212])).
% 2.22/1.71 tff(1217,plain,
% 2.22/1.71 (~m_main_v_state(s11, c_ready)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1216, 1208, 1203])).
% 2.22/1.71 tff(1218,plain,
% 2.22/1.71 (always3(s11)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[333, 113, 1204])).
% 2.22/1.71 tff(1219,plain,
% 2.22/1.71 (~m_main_v_state(s11, c_busy)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1181, 145, 1218])).
% 2.22/1.71 tff(1220,plain,
% 2.22/1.71 (((~![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))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1221,plain,
% 2.22/1.71 ((~![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))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1222,plain,
% 2.22/1.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s11, c_busy) | m_main_v_state(s11, c_ready)),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1221, 1220])).
% 2.22/1.71 tff(1223,plain,
% 2.22/1.71 ($false),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1222, 188, 1219, 1217])).
% 2.22/1.71 tff(1224,plain,((~node4(s11)) | m_main_v_state(s12, c_busy)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.71 tff(1225,plain,
% 2.22/1.71 (m_main_v_state(s12, c_busy)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1224, 1202])).
% 2.22/1.71 tff(1226,plain,
% 2.22/1.71 (always3(s12)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1129, 1114, 1113])).
% 2.22/1.71 tff(1227,plain,
% 2.22/1.71 ($false),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1160, 145, 1226, 1225])).
% 2.22/1.71 tff(1228,plain,(xuntil6(s12)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.71 tff(1229,plain,
% 2.22/1.71 (until5(s13)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[291, 1228])).
% 2.22/1.71 tff(1230,assumption,(node4(s13)), introduced(assumption)).
% 2.22/1.71 tff(1231,plain,
% 2.22/1.71 (((~![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)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1232,plain,
% 2.22/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s13) | (~node4(s13)))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1233,plain,
% 2.22/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s13) | (~node4(s13))),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1232, 1231])).
% 2.22/1.71 tff(1234,plain,
% 2.22/1.71 (m_main_v_request(s13)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1233, 63, 1230])).
% 2.22/1.71 tff(1235,plain,
% 2.22/1.71 (always3(s13)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[275, 113, 1230])).
% 2.22/1.71 tff(1236,plain,
% 2.22/1.71 (always3(s14)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[271, 1235])).
% 2.22/1.71 tff(1237,plain,
% 2.22/1.71 (((~![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)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1238,plain,
% 2.22/1.71 (((~m_main_v_state(s14, c_busy)) | (~always3(s14))) <=> ((~always3(s14)) | (~m_main_v_state(s14, c_busy)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1239,plain,
% 2.22/1.71 (((~![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))))),
% 2.22/1.71 inference(monotonicity,[status(thm)],[1238])).
% 2.22/1.71 tff(1240,plain,
% 2.22/1.71 (((~![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)))),
% 2.22/1.71 inference(transitivity,[status(thm)],[1239, 1237])).
% 2.22/1.71 tff(1241,plain,
% 2.22/1.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s14, c_busy)) | (~always3(s14)))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1242,plain,
% 2.22/1.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s14)) | (~m_main_v_state(s14, c_busy))),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1241, 1240])).
% 2.22/1.71 tff(1243,plain,
% 2.22/1.71 (~m_main_v_state(s14, c_busy)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1242, 145, 1236])).
% 2.22/1.71 tff(1244,plain,
% 2.22/1.71 (((~![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))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1245,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s13, s14)) | node2(s13, s14))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1246,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s13, s14)) | node2(s13, s14)),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1245, 1244])).
% 2.22/1.71 tff(1247,plain,
% 2.22/1.71 (node2(s13, s14)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1246, 7, 267])).
% 2.22/1.71 tff(1248,plain,
% 2.22/1.71 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1249,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s13, c_ready)) | (~node2(s13, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13)))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1250,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s13, c_ready)) | (~node2(s13, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13))),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1249, 1248])).
% 2.22/1.71 tff(1251,plain,
% 2.22/1.71 ((~m_main_v_state(s13, c_ready)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13))),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1250, 166, 1247])).
% 2.22/1.71 tff(1252,plain,
% 2.22/1.71 (~m_main_v_state(s13, c_ready)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1251, 1243, 1234])).
% 2.22/1.71 tff(1253,plain,
% 2.22/1.71 (~m_main_v_state(s13, c_busy)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1137, 145, 1235])).
% 2.22/1.71 tff(1254,plain,
% 2.22/1.71 (((~![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))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1255,plain,
% 2.22/1.71 ((~![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))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1256,plain,
% 2.22/1.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s13, c_busy) | m_main_v_state(s13, c_ready)),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1255, 1254])).
% 2.22/1.71 tff(1257,plain,
% 2.22/1.71 ($false),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1256, 188, 1253, 1252])).
% 2.22/1.71 tff(1258,plain,(~node4(s13)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.71 tff(1259,plain,
% 2.22/1.71 (xuntil6(s13) | (~until5(s13))),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[282, 225, 1258])).
% 2.22/1.71 tff(1260,plain,
% 2.22/1.71 (xuntil6(s13)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1259, 1229])).
% 2.22/1.71 tff(1261,plain,
% 2.22/1.71 (until5(s14)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[262, 1260])).
% 2.22/1.71 tff(1262,plain,
% 2.22/1.71 (xuntil6(s14) | node4(s14)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[254, 225, 1261])).
% 2.22/1.71 tff(1263,plain,
% 2.22/1.71 (node4(s14)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1262, 692])).
% 2.22/1.71 tff(1264,assumption,(~m_main_v_state(s15, c_busy)), introduced(assumption)).
% 2.22/1.71 tff(1265,assumption,(node4(s14)), introduced(assumption)).
% 2.22/1.71 tff(1266,plain,
% 2.22/1.71 (((~![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)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1267,plain,
% 2.22/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s14) | (~node4(s14)))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1268,plain,
% 2.22/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s14) | (~node4(s14))),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1267, 1266])).
% 2.22/1.71 tff(1269,plain,
% 2.22/1.71 (m_main_v_request(s14)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1268, 63, 1265])).
% 2.22/1.71 tff(1270,plain,
% 2.22/1.71 (((~![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))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1271,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s14, s15)) | node2(s14, s15))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1272,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s14, s15)) | node2(s14, s15)),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1271, 1270])).
% 2.22/1.71 tff(1273,plain,
% 2.22/1.71 (node2(s14, s15)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1272, 7, 202])).
% 2.22/1.71 tff(1274,plain,
% 2.22/1.71 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1275,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s14, c_ready)) | (~node2(s14, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14)))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1276,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s14, c_ready)) | (~node2(s14, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14))),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1275, 1274])).
% 2.22/1.71 tff(1277,plain,
% 2.22/1.71 ((~m_main_v_state(s14, c_ready)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14))),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1276, 166, 1273])).
% 2.22/1.71 tff(1278,plain,
% 2.22/1.71 (~m_main_v_state(s14, c_ready)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1277, 1269, 1264])).
% 2.22/1.71 tff(1279,plain,
% 2.22/1.71 (always3(s14)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[210, 113, 1265])).
% 2.22/1.71 tff(1280,plain,
% 2.22/1.71 (~m_main_v_state(s14, c_busy)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1242, 145, 1279])).
% 2.22/1.71 tff(1281,plain,
% 2.22/1.71 (((~![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))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1282,plain,
% 2.22/1.71 ((~![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))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1283,plain,
% 2.22/1.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s14, c_busy) | m_main_v_state(s14, c_ready)),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1282, 1281])).
% 2.22/1.71 tff(1284,plain,
% 2.22/1.71 ($false),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1283, 188, 1280, 1278])).
% 2.22/1.71 tff(1285,plain,((~node4(s14)) | m_main_v_state(s15, c_busy)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.71 tff(1286,plain,
% 2.22/1.71 (m_main_v_state(s15, c_busy)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1285, 1263])).
% 2.22/1.71 tff(1287,plain,
% 2.22/1.71 ($false),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[684, 145, 643, 1286])).
% 2.22/1.71 tff(1288,plain,(xuntil6(s15)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.71 tff(1289,plain,
% 2.22/1.71 (((~![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))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1290,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s15, s16)) | (~xuntil6(s15)) | until5(s16))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1291,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s15, s16)) | (~xuntil6(s15)) | until5(s16)),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1290, 1289])).
% 2.22/1.71 tff(1292,plain,
% 2.22/1.71 ((~xuntil6(s15)) | until5(s16)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1291, 646, 243])).
% 2.22/1.71 tff(1293,plain,
% 2.22/1.71 (until5(s16)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1292, 1288])).
% 2.22/1.71 tff(1294,assumption,(~xuntil6(s22)), introduced(assumption)).
% 2.22/1.71 tff(1295,assumption,(~always3(s22)), introduced(assumption)).
% 2.22/1.71 tff(1296,plain,
% 2.22/1.71 (succ(s21, s22) <=> succ(s21, s22)),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1297,axiom,(succ(s21, s22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound22')).
% 2.22/1.71 tff(1298,plain,
% 2.22/1.71 (succ(s21, s22)),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1297, 1296])).
% 2.22/1.71 tff(1299,plain,
% 2.22/1.71 (((~![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))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1300,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1301,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22)),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1300, 1299])).
% 2.22/1.71 tff(1302,plain,
% 2.22/1.71 (trans(s21, s22)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1301, 1298, 21])).
% 2.22/1.71 tff(1303,plain,
% 2.22/1.71 (((~![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))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1304,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s21, s22)) | (~always3(s21)) | always3(s22))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1305,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s21, s22)) | (~always3(s21)) | always3(s22)),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1304, 1303])).
% 2.22/1.71 tff(1306,plain,
% 2.22/1.71 ((~always3(s21)) | always3(s22)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1305, 38, 1302])).
% 2.22/1.71 tff(1307,plain,
% 2.22/1.71 (~always3(s21)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1306, 1295])).
% 2.22/1.71 tff(1308,plain,
% 2.22/1.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s21) | (~node4(s21)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s21) | (~node4(s21)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1309,plain,
% 2.22/1.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s21) | (~node4(s21)))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1310,plain,
% 2.22/1.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s21) | (~node4(s21))),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1309, 1308])).
% 2.22/1.71 tff(1311,plain,
% 2.22/1.71 (~node4(s21)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1310, 113, 1307])).
% 2.22/1.71 tff(1312,plain,
% 2.22/1.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s22) | (~node4(s22)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s22) | (~node4(s22)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1313,plain,
% 2.22/1.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s22) | (~node4(s22)))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1314,plain,
% 2.22/1.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s22) | (~node4(s22))),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1313, 1312])).
% 2.22/1.71 tff(1315,plain,
% 2.22/1.71 (~node4(s22)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1314, 113, 1295])).
% 2.22/1.71 tff(1316,plain,
% 2.22/1.71 (((~![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)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1317,plain,
% 2.22/1.71 ((node4(s22) | (~until5(s22)) | xuntil6(s22)) <=> (xuntil6(s22) | node4(s22) | (~until5(s22)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1318,plain,
% 2.22/1.71 (((~![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))))),
% 2.22/1.71 inference(monotonicity,[status(thm)],[1317])).
% 2.22/1.71 tff(1319,plain,
% 2.22/1.71 (((~![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)))),
% 2.22/1.71 inference(transitivity,[status(thm)],[1318, 1316])).
% 2.22/1.71 tff(1320,plain,
% 2.22/1.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s22) | (~until5(s22)) | xuntil6(s22))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1321,plain,
% 2.22/1.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s22) | node4(s22) | (~until5(s22))),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 2.22/1.71 tff(1322,plain,
% 2.22/1.71 (node4(s22) | (~until5(s22))),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1321, 225, 1294])).
% 2.22/1.71 tff(1323,plain,
% 2.22/1.71 (~until5(s22)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1322, 1315])).
% 2.22/1.71 tff(1324,plain,
% 2.22/1.71 (((~![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))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1325,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s21, s22)) | (~xuntil6(s21)) | until5(s22))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1326,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s21, s22)) | (~xuntil6(s21)) | until5(s22)),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1325, 1324])).
% 2.22/1.71 tff(1327,plain,
% 2.22/1.71 ((~xuntil6(s21)) | until5(s22)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1326, 1298, 243])).
% 2.22/1.71 tff(1328,plain,
% 2.22/1.71 (~xuntil6(s21)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1327, 1323])).
% 2.22/1.71 tff(1329,plain,
% 2.22/1.71 (((~![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)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1330,plain,
% 2.22/1.71 ((node4(s21) | (~until5(s21)) | xuntil6(s21)) <=> (xuntil6(s21) | node4(s21) | (~until5(s21)))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1331,plain,
% 2.22/1.71 (((~![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))))),
% 2.22/1.71 inference(monotonicity,[status(thm)],[1330])).
% 2.22/1.71 tff(1332,plain,
% 2.22/1.71 (((~![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)))),
% 2.22/1.71 inference(transitivity,[status(thm)],[1331, 1329])).
% 2.22/1.71 tff(1333,plain,
% 2.22/1.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s21) | (~until5(s21)) | xuntil6(s21))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1334,plain,
% 2.22/1.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s21) | node4(s21) | (~until5(s21))),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1333, 1332])).
% 2.22/1.71 tff(1335,plain,
% 2.22/1.71 (~until5(s21)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1334, 225, 1328, 1311])).
% 2.22/1.71 tff(1336,plain,
% 2.22/1.71 (succ(s20, s21) <=> succ(s20, s21)),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1337,axiom,(succ(s20, s21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound21')).
% 2.22/1.71 tff(1338,plain,
% 2.22/1.71 (succ(s20, s21)),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1337, 1336])).
% 2.22/1.71 tff(1339,plain,
% 2.22/1.71 (((~![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))),
% 2.22/1.71 inference(rewrite,[status(thm)],[])).
% 2.22/1.71 tff(1340,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s20, s21)) | (~xuntil6(s20)) | until5(s21))),
% 2.22/1.71 inference(quant_inst,[status(thm)],[])).
% 2.22/1.71 tff(1341,plain,
% 2.22/1.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s20, s21)) | (~xuntil6(s20)) | until5(s21)),
% 2.22/1.71 inference(modus_ponens,[status(thm)],[1340, 1339])).
% 2.22/1.71 tff(1342,plain,
% 2.22/1.71 ((~xuntil6(s20)) | until5(s21)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1341, 1338, 243])).
% 2.22/1.71 tff(1343,plain,
% 2.22/1.71 (~xuntil6(s20)),
% 2.22/1.71 inference(unit_resolution,[status(thm)],[1342, 1335])).
% 2.22/1.72 tff(1344,plain,
% 2.22/1.72 (((~![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))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1345,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1346,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1345, 1344])).
% 2.22/1.72 tff(1347,plain,
% 2.22/1.72 (trans(s20, s21)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1346, 1338, 21])).
% 2.22/1.72 tff(1348,plain,
% 2.22/1.72 (((~![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))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1349,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s20, s21)) | (~always3(s20)) | always3(s21))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1350,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s20, s21)) | (~always3(s20)) | always3(s21)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1349, 1348])).
% 2.22/1.72 tff(1351,plain,
% 2.22/1.72 ((~always3(s20)) | always3(s21)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1350, 38, 1347])).
% 2.22/1.72 tff(1352,plain,
% 2.22/1.72 (~always3(s20)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1351, 1307])).
% 2.22/1.72 tff(1353,plain,
% 2.22/1.72 (succ(s19, s20) <=> succ(s19, s20)),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1354,axiom,(succ(s19, s20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound20')).
% 2.22/1.72 tff(1355,plain,
% 2.22/1.72 (succ(s19, s20)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1354, 1353])).
% 2.22/1.72 tff(1356,plain,
% 2.22/1.72 (((~![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))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1357,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1358,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1357, 1356])).
% 2.22/1.72 tff(1359,plain,
% 2.22/1.72 (trans(s19, s20)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1358, 1355, 21])).
% 2.22/1.72 tff(1360,plain,
% 2.22/1.72 (((~![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))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1361,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s19, s20)) | (~always3(s19)) | always3(s20))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1362,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s19, s20)) | (~always3(s19)) | always3(s20)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1361, 1360])).
% 2.22/1.72 tff(1363,plain,
% 2.22/1.72 ((~always3(s19)) | always3(s20)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1362, 38, 1359])).
% 2.22/1.72 tff(1364,plain,
% 2.22/1.72 (~always3(s19)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1363, 1352])).
% 2.22/1.72 tff(1365,plain,
% 2.22/1.72 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s19) | (~node4(s19)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s19) | (~node4(s19)))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1366,plain,
% 2.22/1.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s19) | (~node4(s19)))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1367,plain,
% 2.22/1.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s19) | (~node4(s19))),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1366, 1365])).
% 2.22/1.72 tff(1368,plain,
% 2.22/1.72 (~node4(s19)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1367, 113, 1364])).
% 2.22/1.72 tff(1369,plain,
% 2.22/1.72 (succ(s18, s19) <=> succ(s18, s19)),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1370,axiom,(succ(s18, s19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound19')).
% 2.22/1.72 tff(1371,plain,
% 2.22/1.72 (succ(s18, s19)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1370, 1369])).
% 2.22/1.72 tff(1372,plain,
% 2.22/1.72 (((~![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))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1373,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1374,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1373, 1372])).
% 2.22/1.72 tff(1375,plain,
% 2.22/1.72 (trans(s18, s19)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1374, 1371, 21])).
% 2.22/1.72 tff(1376,plain,
% 2.22/1.72 (((~![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))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1377,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s18, s19)) | (~always3(s18)) | always3(s19))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1378,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s18, s19)) | (~always3(s18)) | always3(s19)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1377, 1376])).
% 2.22/1.72 tff(1379,plain,
% 2.22/1.72 ((~always3(s18)) | always3(s19)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1378, 38, 1375])).
% 2.22/1.72 tff(1380,plain,
% 2.22/1.72 (~always3(s18)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1379, 1364])).
% 2.22/1.72 tff(1381,plain,
% 2.22/1.72 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s18) | (~node4(s18)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s18) | (~node4(s18)))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1382,plain,
% 2.22/1.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s18) | (~node4(s18)))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1383,plain,
% 2.22/1.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s18) | (~node4(s18))),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1382, 1381])).
% 2.22/1.72 tff(1384,plain,
% 2.22/1.72 (~node4(s18)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1383, 113, 1380])).
% 2.22/1.72 tff(1385,plain,
% 2.22/1.72 (succ(s17, s18) <=> succ(s17, s18)),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1386,axiom,(succ(s17, s18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound18')).
% 2.22/1.72 tff(1387,plain,
% 2.22/1.72 (succ(s17, s18)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1386, 1385])).
% 2.22/1.72 tff(1388,plain,
% 2.22/1.72 (((~![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))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1389,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1390,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1389, 1388])).
% 2.22/1.72 tff(1391,plain,
% 2.22/1.72 (trans(s17, s18)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1390, 1387, 21])).
% 2.22/1.72 tff(1392,plain,
% 2.22/1.72 (((~![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))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1393,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s17, s18)) | (~always3(s17)) | always3(s18))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1394,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s17, s18)) | (~always3(s17)) | always3(s18)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1393, 1392])).
% 2.22/1.72 tff(1395,plain,
% 2.22/1.72 ((~always3(s17)) | always3(s18)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1394, 38, 1391])).
% 2.22/1.72 tff(1396,plain,
% 2.22/1.72 (~always3(s17)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1395, 1380])).
% 2.22/1.72 tff(1397,plain,
% 2.22/1.72 (succ(s16, s17) <=> succ(s16, s17)),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1398,axiom,(succ(s16, s17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound17')).
% 2.22/1.72 tff(1399,plain,
% 2.22/1.72 (succ(s16, s17)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1398, 1397])).
% 2.22/1.72 tff(1400,plain,
% 2.22/1.72 (((~![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))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1401,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1402,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1401, 1400])).
% 2.22/1.72 tff(1403,plain,
% 2.22/1.72 (trans(s16, s17)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1402, 1399, 21])).
% 2.22/1.72 tff(1404,plain,
% 2.22/1.72 (((~![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))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1405,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s16, s17)) | (~always3(s16)) | always3(s17))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1406,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s16, s17)) | (~always3(s16)) | always3(s17)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1405, 1404])).
% 2.22/1.72 tff(1407,plain,
% 2.22/1.72 ((~always3(s16)) | always3(s17)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1406, 38, 1403])).
% 2.22/1.72 tff(1408,plain,
% 2.22/1.72 (~always3(s16)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1407, 1396])).
% 2.22/1.72 tff(1409,plain,
% 2.22/1.72 (~always3(s15)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[654, 1408])).
% 2.22/1.72 tff(1410,plain,
% 2.22/1.72 (xuntil6(s15)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[642, 1409])).
% 2.22/1.72 tff(1411,plain,
% 2.22/1.72 (until5(s16)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1292, 1410])).
% 2.22/1.72 tff(1412,assumption,(until5(s16)), introduced(assumption)).
% 2.22/1.72 tff(1413,assumption,(~xuntil6(s17)), introduced(assumption)).
% 2.22/1.72 tff(1414,assumption,(~always3(s17)), introduced(assumption)).
% 2.22/1.72 tff(1415,plain,
% 2.22/1.72 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s17) | (~node4(s17)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s17) | (~node4(s17)))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1416,plain,
% 2.22/1.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s17) | (~node4(s17)))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1417,plain,
% 2.22/1.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s17) | (~node4(s17))),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 2.22/1.72 tff(1418,plain,
% 2.22/1.72 (~node4(s17)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1417, 113, 1414])).
% 2.22/1.72 tff(1419,plain,
% 2.22/1.72 (((~![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)))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1420,plain,
% 2.22/1.72 ((node4(s17) | (~until5(s17)) | xuntil6(s17)) <=> (xuntil6(s17) | node4(s17) | (~until5(s17)))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1421,plain,
% 2.22/1.72 (((~![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))))),
% 2.22/1.72 inference(monotonicity,[status(thm)],[1420])).
% 2.22/1.72 tff(1422,plain,
% 2.22/1.72 (((~![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)))),
% 2.22/1.72 inference(transitivity,[status(thm)],[1421, 1419])).
% 2.22/1.72 tff(1423,plain,
% 2.22/1.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s17) | (~until5(s17)) | xuntil6(s17))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1424,plain,
% 2.22/1.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s17) | node4(s17) | (~until5(s17))),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1423, 1422])).
% 2.22/1.72 tff(1425,plain,
% 2.22/1.72 (node4(s17) | (~until5(s17))),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1424, 225, 1413])).
% 2.22/1.72 tff(1426,plain,
% 2.22/1.72 (~until5(s17)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1425, 1418])).
% 2.22/1.72 tff(1427,plain,
% 2.22/1.72 (~always3(s16)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1407, 1414])).
% 2.22/1.72 tff(1428,plain,
% 2.22/1.72 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s16) | (~node4(s16)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s16) | (~node4(s16)))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1429,plain,
% 2.22/1.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s16) | (~node4(s16)))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1430,plain,
% 2.22/1.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s16) | (~node4(s16))),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1429, 1428])).
% 2.22/1.72 tff(1431,plain,
% 2.22/1.72 (~node4(s16)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1430, 113, 1427])).
% 2.22/1.72 tff(1432,plain,
% 2.22/1.72 (((~![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)))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1433,plain,
% 2.22/1.72 ((node4(s16) | (~until5(s16)) | xuntil6(s16)) <=> (xuntil6(s16) | node4(s16) | (~until5(s16)))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1434,plain,
% 2.22/1.72 (((~![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))))),
% 2.22/1.72 inference(monotonicity,[status(thm)],[1433])).
% 2.22/1.72 tff(1435,plain,
% 2.22/1.72 (((~![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)))),
% 2.22/1.72 inference(transitivity,[status(thm)],[1434, 1432])).
% 2.22/1.72 tff(1436,plain,
% 2.22/1.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s16) | (~until5(s16)) | xuntil6(s16))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1437,plain,
% 2.22/1.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s16) | node4(s16) | (~until5(s16))),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1436, 1435])).
% 2.22/1.72 tff(1438,plain,
% 2.22/1.72 (xuntil6(s16) | node4(s16)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1437, 225, 1412])).
% 2.22/1.72 tff(1439,plain,
% 2.22/1.72 (xuntil6(s16)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1438, 1431])).
% 2.22/1.72 tff(1440,plain,
% 2.22/1.72 (((~![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))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1441,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s16, s17)) | (~xuntil6(s16)) | until5(s17))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1442,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s16, s17)) | (~xuntil6(s16)) | until5(s17)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1441, 1440])).
% 2.22/1.72 tff(1443,plain,
% 2.22/1.72 ((~xuntil6(s16)) | until5(s17)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1442, 1399, 243])).
% 2.22/1.72 tff(1444,plain,
% 2.22/1.72 ($false),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1443, 1439, 1426])).
% 2.22/1.72 tff(1445,plain,(always3(s17) | (~until5(s16)) | xuntil6(s17)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.72 tff(1446,plain,
% 2.22/1.72 (always3(s17)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1445, 1413, 1412])).
% 2.22/1.72 tff(1447,plain,
% 2.22/1.72 (((~![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)))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1448,plain,
% 2.22/1.72 (((~m_main_v_state(s17, c_busy)) | (~always3(s17))) <=> ((~always3(s17)) | (~m_main_v_state(s17, c_busy)))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1449,plain,
% 2.22/1.72 (((~![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))))),
% 2.22/1.72 inference(monotonicity,[status(thm)],[1448])).
% 2.22/1.72 tff(1450,plain,
% 2.22/1.72 (((~![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)))),
% 2.22/1.72 inference(transitivity,[status(thm)],[1449, 1447])).
% 2.22/1.72 tff(1451,plain,
% 2.22/1.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s17, c_busy)) | (~always3(s17)))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1452,plain,
% 2.22/1.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s17)) | (~m_main_v_state(s17, c_busy))),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1451, 1450])).
% 2.22/1.72 tff(1453,plain,
% 2.22/1.72 (~m_main_v_state(s17, c_busy)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1452, 145, 1446])).
% 2.22/1.72 tff(1454,plain,
% 2.22/1.72 (always3(s18)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1395, 1446])).
% 2.22/1.72 tff(1455,plain,
% 2.22/1.72 (((~![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)))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1456,plain,
% 2.22/1.72 (((~m_main_v_state(s18, c_busy)) | (~always3(s18))) <=> ((~always3(s18)) | (~m_main_v_state(s18, c_busy)))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1457,plain,
% 2.22/1.72 (((~![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))))),
% 2.22/1.72 inference(monotonicity,[status(thm)],[1456])).
% 2.22/1.72 tff(1458,plain,
% 2.22/1.72 (((~![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)))),
% 2.22/1.72 inference(transitivity,[status(thm)],[1457, 1455])).
% 2.22/1.72 tff(1459,plain,
% 2.22/1.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s18, c_busy)) | (~always3(s18)))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1460,plain,
% 2.22/1.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s18)) | (~m_main_v_state(s18, c_busy))),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1459, 1458])).
% 2.22/1.72 tff(1461,plain,
% 2.22/1.72 (~m_main_v_state(s18, c_busy)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1460, 145, 1454])).
% 2.22/1.72 tff(1462,plain,
% 2.22/1.72 (((~![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))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1463,plain,
% 2.22/1.72 ((~![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))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1464,plain,
% 2.22/1.72 ((~![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)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1463, 1462])).
% 2.22/1.72 tff(1465,plain,
% 2.22/1.72 (m_main_v_state(s17, c_ready)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1464, 188, 1453])).
% 2.22/1.72 tff(1466,plain,
% 2.22/1.72 (((~![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))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1467,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s17, s18)) | node2(s17, s18))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1468,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s17, s18)) | node2(s17, s18)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1467, 1466])).
% 2.22/1.72 tff(1469,plain,
% 2.22/1.72 (node2(s17, s18)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1468, 7, 1391])).
% 2.22/1.72 tff(1470,plain,
% 2.22/1.72 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1471,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s17, c_ready)) | (~node2(s17, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17)))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1472,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s17, c_ready)) | (~node2(s17, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17))),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1471, 1470])).
% 2.22/1.72 tff(1473,plain,
% 2.22/1.72 ((~m_main_v_state(s17, c_ready)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17))),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1472, 166, 1469])).
% 2.22/1.72 tff(1474,plain,
% 2.22/1.72 (~m_main_v_request(s17)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1473, 1465, 1461])).
% 2.22/1.72 tff(1475,plain,
% 2.22/1.72 (((~![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)))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1476,plain,
% 2.22/1.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s17) | (~node4(s17)))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1477,plain,
% 2.22/1.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s17) | (~node4(s17))),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1476, 1475])).
% 2.22/1.72 tff(1478,plain,
% 2.22/1.72 (~node4(s17)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1477, 63, 1474])).
% 2.22/1.72 tff(1479,plain,
% 2.22/1.72 (~until5(s17)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1425, 1478])).
% 2.22/1.72 tff(1480,plain,
% 2.22/1.72 (~xuntil6(s16)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1443, 1479])).
% 2.22/1.72 tff(1481,plain,
% 2.22/1.72 (node4(s16)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1438, 1480])).
% 2.22/1.72 tff(1482,plain,
% 2.22/1.72 (((~![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)))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1483,plain,
% 2.22/1.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s16) | (~node4(s16)))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1484,plain,
% 2.22/1.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s16) | (~node4(s16))),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1483, 1482])).
% 2.22/1.72 tff(1485,plain,
% 2.22/1.72 (m_main_v_request(s16)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1484, 63, 1481])).
% 2.22/1.72 tff(1486,plain,
% 2.22/1.72 (((~![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))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1487,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s16, s17)) | node2(s16, s17))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1488,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s16, s17)) | node2(s16, s17)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1487, 1486])).
% 2.22/1.72 tff(1489,plain,
% 2.22/1.72 (node2(s16, s17)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1488, 7, 1403])).
% 2.22/1.72 tff(1490,plain,
% 2.22/1.72 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1491,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s16, c_ready)) | (~node2(s16, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16)))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1492,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s16, c_ready)) | (~node2(s16, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16))),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1491, 1490])).
% 2.22/1.72 tff(1493,plain,
% 2.22/1.72 ((~m_main_v_state(s16, c_ready)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16))),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1492, 166, 1489])).
% 2.22/1.72 tff(1494,plain,
% 2.22/1.72 (~m_main_v_state(s16, c_ready)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1493, 1485, 1453])).
% 2.22/1.72 tff(1495,plain,
% 2.22/1.72 (always3(s16)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1430, 113, 1481])).
% 2.22/1.72 tff(1496,plain,
% 2.22/1.72 (~m_main_v_state(s16, c_busy)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[661, 145, 1495])).
% 2.22/1.72 tff(1497,plain,
% 2.22/1.72 (((~![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))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1498,plain,
% 2.22/1.72 ((~![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))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1499,plain,
% 2.22/1.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s16, c_busy) | m_main_v_state(s16, c_ready)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1498, 1497])).
% 2.22/1.72 tff(1500,plain,
% 2.22/1.72 ($false),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1499, 188, 1496, 1494])).
% 2.22/1.72 tff(1501,plain,(xuntil6(s17) | (~until5(s16))), inference(lemma,lemma(discharge,[]))).
% 2.22/1.72 tff(1502,plain,
% 2.22/1.72 (xuntil6(s17)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1501, 1411])).
% 2.22/1.72 tff(1503,plain,
% 2.22/1.72 (((~![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))),
% 2.22/1.72 inference(rewrite,[status(thm)],[])).
% 2.22/1.72 tff(1504,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s17, s18)) | (~xuntil6(s17)) | until5(s18))),
% 2.22/1.72 inference(quant_inst,[status(thm)],[])).
% 2.22/1.72 tff(1505,plain,
% 2.22/1.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s17, s18)) | (~xuntil6(s17)) | until5(s18)),
% 2.22/1.72 inference(modus_ponens,[status(thm)],[1504, 1503])).
% 2.22/1.72 tff(1506,plain,
% 2.22/1.72 ((~xuntil6(s17)) | until5(s18)),
% 2.22/1.72 inference(unit_resolution,[status(thm)],[1505, 1387, 243])).
% 2.22/1.72 tff(1507,plain,
% 2.22/1.72 (until5(s18)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1506, 1502])).
% 2.22/1.73 tff(1508,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1509,plain,
% 2.22/1.73 ((node4(s18) | (~until5(s18)) | xuntil6(s18)) <=> (xuntil6(s18) | node4(s18) | (~until5(s18)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1510,plain,
% 2.22/1.73 (((~![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))))),
% 2.22/1.73 inference(monotonicity,[status(thm)],[1509])).
% 2.22/1.73 tff(1511,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(transitivity,[status(thm)],[1510, 1508])).
% 2.22/1.73 tff(1512,plain,
% 2.22/1.73 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s18) | (~until5(s18)) | xuntil6(s18))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1513,plain,
% 2.22/1.73 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s18) | node4(s18) | (~until5(s18))),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1512, 1511])).
% 2.22/1.73 tff(1514,plain,
% 2.22/1.73 (xuntil6(s18) | node4(s18)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1513, 225, 1507])).
% 2.22/1.73 tff(1515,plain,
% 2.22/1.73 (xuntil6(s18)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1514, 1384])).
% 2.22/1.73 tff(1516,plain,
% 2.22/1.73 (((~![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))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1517,plain,
% 2.22/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s18, s19)) | (~xuntil6(s18)) | until5(s19))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1518,plain,
% 2.22/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s18, s19)) | (~xuntil6(s18)) | until5(s19)),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1517, 1516])).
% 2.22/1.73 tff(1519,plain,
% 2.22/1.73 ((~xuntil6(s18)) | until5(s19)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1518, 1371, 243])).
% 2.22/1.73 tff(1520,plain,
% 2.22/1.73 (until5(s19)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1519, 1515])).
% 2.22/1.73 tff(1521,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1522,plain,
% 2.22/1.73 ((node4(s19) | (~until5(s19)) | xuntil6(s19)) <=> (xuntil6(s19) | node4(s19) | (~until5(s19)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1523,plain,
% 2.22/1.73 (((~![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))))),
% 2.22/1.73 inference(monotonicity,[status(thm)],[1522])).
% 2.22/1.73 tff(1524,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(transitivity,[status(thm)],[1523, 1521])).
% 2.22/1.73 tff(1525,plain,
% 2.22/1.73 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s19) | (~until5(s19)) | xuntil6(s19))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1526,plain,
% 2.22/1.73 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s19) | node4(s19) | (~until5(s19))),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1525, 1524])).
% 2.22/1.73 tff(1527,plain,
% 2.22/1.73 (xuntil6(s19)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1526, 225, 1520, 1368])).
% 2.22/1.73 tff(1528,plain,
% 2.22/1.73 (((~![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))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1529,plain,
% 2.22/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s19, s20)) | (~xuntil6(s19)) | until5(s20))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1530,plain,
% 2.22/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s19, s20)) | (~xuntil6(s19)) | until5(s20)),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1529, 1528])).
% 2.22/1.73 tff(1531,plain,
% 2.22/1.73 ((~xuntil6(s19)) | until5(s20)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1530, 1355, 243])).
% 2.22/1.73 tff(1532,plain,
% 2.22/1.73 (until5(s20)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1531, 1527])).
% 2.22/1.73 tff(1533,plain,
% 2.22/1.73 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s20) | (~node4(s20)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s20) | (~node4(s20)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1534,plain,
% 2.22/1.73 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s20) | (~node4(s20)))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1535,plain,
% 2.22/1.73 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s20) | (~node4(s20))),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1534, 1533])).
% 2.22/1.73 tff(1536,plain,
% 2.22/1.73 (~node4(s20)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1535, 113, 1352])).
% 2.22/1.73 tff(1537,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1538,plain,
% 2.22/1.73 ((node4(s20) | (~until5(s20)) | xuntil6(s20)) <=> (xuntil6(s20) | node4(s20) | (~until5(s20)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1539,plain,
% 2.22/1.73 (((~![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))))),
% 2.22/1.73 inference(monotonicity,[status(thm)],[1538])).
% 2.22/1.73 tff(1540,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(transitivity,[status(thm)],[1539, 1537])).
% 2.22/1.73 tff(1541,plain,
% 2.22/1.73 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s20) | (~until5(s20)) | xuntil6(s20))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1542,plain,
% 2.22/1.73 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s20) | node4(s20) | (~until5(s20))),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1541, 1540])).
% 2.22/1.73 tff(1543,plain,
% 2.22/1.73 (xuntil6(s20) | (~until5(s20))),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1542, 225, 1536])).
% 2.22/1.73 tff(1544,plain,
% 2.22/1.73 ($false),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1543, 1532, 1343])).
% 2.22/1.73 tff(1545,plain,(always3(s22) | xuntil6(s22)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.73 tff(1546,plain,
% 2.22/1.73 (always3(s22)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1545, 1294])).
% 2.22/1.73 tff(1547,plain,
% 2.22/1.73 (succ(s22, s23) <=> succ(s22, s23)),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1548,axiom,(succ(s22, s23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound23')).
% 2.22/1.73 tff(1549,plain,
% 2.22/1.73 (succ(s22, s23)),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1548, 1547])).
% 2.22/1.73 tff(1550,plain,
% 2.22/1.73 (((~![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))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1551,plain,
% 2.22/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1552,plain,
% 2.22/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23)),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1551, 1550])).
% 2.22/1.73 tff(1553,plain,
% 2.22/1.73 (trans(s22, s23)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1552, 1549, 21])).
% 2.22/1.73 tff(1554,plain,
% 2.22/1.73 (((~![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))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1555,plain,
% 2.22/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s22, s23)) | (~always3(s22)) | always3(s23))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1556,plain,
% 2.22/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s22, s23)) | (~always3(s22)) | always3(s23)),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1555, 1554])).
% 2.22/1.73 tff(1557,plain,
% 2.22/1.73 ((~always3(s22)) | always3(s23)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1556, 38, 1553])).
% 2.22/1.73 tff(1558,plain,
% 2.22/1.73 (always3(s23)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1557, 1546])).
% 2.22/1.73 tff(1559,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1560,plain,
% 2.22/1.73 (((~m_main_v_state(s23, c_busy)) | (~always3(s23))) <=> ((~always3(s23)) | (~m_main_v_state(s23, c_busy)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1561,plain,
% 2.22/1.73 (((~![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))))),
% 2.22/1.73 inference(monotonicity,[status(thm)],[1560])).
% 2.22/1.73 tff(1562,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(transitivity,[status(thm)],[1561, 1559])).
% 2.22/1.73 tff(1563,plain,
% 2.22/1.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s23, c_busy)) | (~always3(s23)))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1564,plain,
% 2.22/1.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s23)) | (~m_main_v_state(s23, c_busy))),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1563, 1562])).
% 2.22/1.73 tff(1565,plain,
% 2.22/1.73 (~m_main_v_state(s23, c_busy)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1564, 145, 1558])).
% 2.22/1.73 tff(1566,assumption,(until5(s22)), introduced(assumption)).
% 2.22/1.73 tff(1567,plain,
% 2.22/1.73 (xuntil6(s22) | node4(s22)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1321, 225, 1566])).
% 2.22/1.73 tff(1568,plain,
% 2.22/1.73 (node4(s22)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1567, 1294])).
% 2.22/1.73 tff(1569,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1570,plain,
% 2.22/1.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s22) | (~node4(s22)))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1571,plain,
% 2.22/1.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s22) | (~node4(s22))),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1570, 1569])).
% 2.22/1.73 tff(1572,plain,
% 2.22/1.73 (m_main_v_request(s22)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1571, 63, 1568])).
% 2.22/1.73 tff(1573,plain,
% 2.22/1.73 (((~![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))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1574,plain,
% 2.22/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s22, s23)) | node2(s22, s23))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1575,plain,
% 2.22/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s22, s23)) | node2(s22, s23)),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1574, 1573])).
% 2.22/1.73 tff(1576,plain,
% 2.22/1.73 (node2(s22, s23)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1575, 7, 1553])).
% 2.22/1.73 tff(1577,plain,
% 2.22/1.73 (((~![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(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)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1578,plain,
% 2.22/1.73 ((~![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(s22, c_ready)) | (~node2(s22, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22)))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1579,plain,
% 2.22/1.73 ((~![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(s22, c_ready)) | (~node2(s22, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22))),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1578, 1577])).
% 2.22/1.73 tff(1580,plain,
% 2.22/1.73 ((~m_main_v_state(s22, c_ready)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22))),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1579, 166, 1576])).
% 2.22/1.73 tff(1581,plain,
% 2.22/1.73 (~m_main_v_state(s22, c_ready)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1580, 1572, 1565])).
% 2.22/1.73 tff(1582,plain,
% 2.22/1.73 (((~![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))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1583,plain,
% 2.22/1.73 ((~![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))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1584,plain,
% 2.22/1.73 ((~![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)),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1583, 1582])).
% 2.22/1.73 tff(1585,plain,
% 2.22/1.73 (m_main_v_state(s22, c_busy)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1584, 188, 1581])).
% 2.22/1.73 tff(1586,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1587,plain,
% 2.22/1.73 (((~m_main_v_state(s22, c_busy)) | (~always3(s22))) <=> ((~always3(s22)) | (~m_main_v_state(s22, c_busy)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1588,plain,
% 2.22/1.73 (((~![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))))),
% 2.22/1.73 inference(monotonicity,[status(thm)],[1587])).
% 2.22/1.73 tff(1589,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(transitivity,[status(thm)],[1588, 1586])).
% 2.22/1.73 tff(1590,plain,
% 2.22/1.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s22, c_busy)) | (~always3(s22)))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1591,plain,
% 2.22/1.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s22)) | (~m_main_v_state(s22, c_busy))),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1590, 1589])).
% 2.22/1.73 tff(1592,plain,
% 2.22/1.73 ($false),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1591, 145, 1546, 1585])).
% 2.22/1.73 tff(1593,plain,(xuntil6(s22) | (~until5(s22))), inference(lemma,lemma(discharge,[]))).
% 2.22/1.73 tff(1594,plain,
% 2.22/1.73 (~until5(s22)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1593, 1294])).
% 2.22/1.73 tff(1595,plain,
% 2.22/1.73 (~xuntil6(s21)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1327, 1594])).
% 2.22/1.73 tff(1596,assumption,(~xuntil6(s20)), introduced(assumption)).
% 2.22/1.73 tff(1597,assumption,(~always3(s20)), introduced(assumption)).
% 2.22/1.73 tff(1598,plain,
% 2.22/1.73 (~always3(s19)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1363, 1597])).
% 2.22/1.73 tff(1599,plain,
% 2.22/1.73 (~node4(s19)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1367, 113, 1598])).
% 2.22/1.73 tff(1600,plain,
% 2.22/1.73 (~node4(s20)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1535, 113, 1597])).
% 2.22/1.73 tff(1601,plain,
% 2.22/1.73 (node4(s20) | (~until5(s20))),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1542, 225, 1596])).
% 2.22/1.73 tff(1602,plain,
% 2.22/1.73 (~until5(s20)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1601, 1600])).
% 2.22/1.73 tff(1603,plain,
% 2.22/1.73 (~xuntil6(s19)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1531, 1602])).
% 2.22/1.73 tff(1604,plain,
% 2.22/1.73 (~always3(s18)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1379, 1598])).
% 2.22/1.73 tff(1605,plain,
% 2.22/1.73 (~node4(s18)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1383, 113, 1604])).
% 2.22/1.73 tff(1606,plain,
% 2.22/1.73 (~always3(s17)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1395, 1604])).
% 2.22/1.73 tff(1607,plain,
% 2.22/1.73 (~always3(s16)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1407, 1606])).
% 2.22/1.73 tff(1608,plain,
% 2.22/1.73 (~always3(s15)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[654, 1607])).
% 2.22/1.73 tff(1609,plain,
% 2.22/1.73 (xuntil6(s15)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[642, 1608])).
% 2.22/1.73 tff(1610,plain,
% 2.22/1.73 (until5(s16)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1292, 1609])).
% 2.22/1.73 tff(1611,plain,
% 2.22/1.73 (xuntil6(s17)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1501, 1610])).
% 2.22/1.73 tff(1612,plain,
% 2.22/1.73 (until5(s18)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1506, 1611])).
% 2.22/1.73 tff(1613,plain,
% 2.22/1.73 (xuntil6(s18) | node4(s18)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1513, 225, 1612])).
% 2.22/1.73 tff(1614,plain,
% 2.22/1.73 (xuntil6(s18)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1613, 1605])).
% 2.22/1.73 tff(1615,plain,
% 2.22/1.73 (until5(s19)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1519, 1614])).
% 2.22/1.73 tff(1616,plain,
% 2.22/1.73 ($false),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1526, 225, 1615, 1603, 1599])).
% 2.22/1.73 tff(1617,plain,(always3(s20) | xuntil6(s20)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.73 tff(1618,plain,
% 2.22/1.73 (always3(s20)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1617, 1596])).
% 2.22/1.73 tff(1619,plain,
% 2.22/1.73 (always3(s21)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1351, 1618])).
% 2.22/1.73 tff(1620,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1621,plain,
% 2.22/1.73 (((~m_main_v_state(s21, c_busy)) | (~always3(s21))) <=> ((~always3(s21)) | (~m_main_v_state(s21, c_busy)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1622,plain,
% 2.22/1.73 (((~![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))))),
% 2.22/1.73 inference(monotonicity,[status(thm)],[1621])).
% 2.22/1.73 tff(1623,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(transitivity,[status(thm)],[1622, 1620])).
% 2.22/1.73 tff(1624,plain,
% 2.22/1.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s21, c_busy)) | (~always3(s21)))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1625,plain,
% 2.22/1.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s21)) | (~m_main_v_state(s21, c_busy))),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1624, 1623])).
% 2.22/1.73 tff(1626,plain,
% 2.22/1.73 (~m_main_v_state(s21, c_busy)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1625, 145, 1619])).
% 2.22/1.73 tff(1627,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1628,plain,
% 2.22/1.73 (((~m_main_v_state(s20, c_busy)) | (~always3(s20))) <=> ((~always3(s20)) | (~m_main_v_state(s20, c_busy)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1629,plain,
% 2.22/1.73 (((~![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))))),
% 2.22/1.73 inference(monotonicity,[status(thm)],[1628])).
% 2.22/1.73 tff(1630,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(transitivity,[status(thm)],[1629, 1627])).
% 2.22/1.73 tff(1631,plain,
% 2.22/1.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s20, c_busy)) | (~always3(s20)))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1632,plain,
% 2.22/1.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s20)) | (~m_main_v_state(s20, c_busy))),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1631, 1630])).
% 2.22/1.73 tff(1633,plain,
% 2.22/1.73 (~m_main_v_state(s20, c_busy)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1632, 145, 1618])).
% 2.22/1.73 tff(1634,plain,
% 2.22/1.73 (((~![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))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1635,plain,
% 2.22/1.73 ((~![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))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1636,plain,
% 2.22/1.73 ((~![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)),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1635, 1634])).
% 2.22/1.73 tff(1637,plain,
% 2.22/1.73 (m_main_v_state(s20, c_ready)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1636, 188, 1633])).
% 2.22/1.73 tff(1638,assumption,(~m_main_v_state(s20, c_busy)), introduced(assumption)).
% 2.22/1.73 tff(1639,assumption,(node4(s19)), introduced(assumption)).
% 2.22/1.73 tff(1640,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1641,plain,
% 2.22/1.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s19) | (~node4(s19)))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1642,plain,
% 2.22/1.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s19) | (~node4(s19))),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1641, 1640])).
% 2.22/1.73 tff(1643,plain,
% 2.22/1.73 (m_main_v_request(s19)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1642, 63, 1639])).
% 2.22/1.73 tff(1644,plain,
% 2.22/1.73 (((~![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))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1645,plain,
% 2.22/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s19, s20)) | node2(s19, s20))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1646,plain,
% 2.22/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s19, s20)) | node2(s19, s20)),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1645, 1644])).
% 2.22/1.73 tff(1647,plain,
% 2.22/1.73 (node2(s19, s20)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1646, 7, 1359])).
% 2.22/1.73 tff(1648,plain,
% 2.22/1.73 (((~![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(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)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1649,plain,
% 2.22/1.73 ((~![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(s19, c_ready)) | (~node2(s19, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19)))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1650,plain,
% 2.22/1.73 ((~![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(s19, c_ready)) | (~node2(s19, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19))),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1649, 1648])).
% 2.22/1.73 tff(1651,plain,
% 2.22/1.73 ((~m_main_v_state(s19, c_ready)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19))),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1650, 166, 1647])).
% 2.22/1.73 tff(1652,plain,
% 2.22/1.73 (~m_main_v_state(s19, c_ready)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1651, 1643, 1638])).
% 2.22/1.73 tff(1653,plain,
% 2.22/1.73 (always3(s19)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1367, 113, 1639])).
% 2.22/1.73 tff(1654,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1655,plain,
% 2.22/1.73 (((~m_main_v_state(s19, c_busy)) | (~always3(s19))) <=> ((~always3(s19)) | (~m_main_v_state(s19, c_busy)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1656,plain,
% 2.22/1.73 (((~![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))))),
% 2.22/1.73 inference(monotonicity,[status(thm)],[1655])).
% 2.22/1.73 tff(1657,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(transitivity,[status(thm)],[1656, 1654])).
% 2.22/1.73 tff(1658,plain,
% 2.22/1.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s19, c_busy)) | (~always3(s19)))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1659,plain,
% 2.22/1.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s19)) | (~m_main_v_state(s19, c_busy))),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1658, 1657])).
% 2.22/1.73 tff(1660,plain,
% 2.22/1.73 (~m_main_v_state(s19, c_busy)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1659, 145, 1653])).
% 2.22/1.73 tff(1661,plain,
% 2.22/1.73 (((~![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))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1662,plain,
% 2.22/1.73 ((~![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))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1663,plain,
% 2.22/1.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s19, c_busy) | m_main_v_state(s19, c_ready)),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1662, 1661])).
% 2.22/1.73 tff(1664,plain,
% 2.22/1.73 ($false),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1663, 188, 1660, 1652])).
% 2.22/1.73 tff(1665,plain,((~node4(s19)) | m_main_v_state(s20, c_busy)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.73 tff(1666,plain,
% 2.22/1.73 (~node4(s19)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1665, 1633])).
% 2.22/1.73 tff(1667,assumption,(~xuntil6(s18)), introduced(assumption)).
% 2.22/1.73 tff(1668,assumption,(~always3(s18)), introduced(assumption)).
% 2.22/1.73 tff(1669,plain,
% 2.22/1.73 (~always3(s17)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1395, 1668])).
% 2.22/1.73 tff(1670,plain,
% 2.22/1.73 (~always3(s16)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1407, 1669])).
% 2.22/1.73 tff(1671,plain,
% 2.22/1.73 (~always3(s15)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[654, 1670])).
% 2.22/1.73 tff(1672,plain,
% 2.22/1.73 (xuntil6(s15)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[642, 1671])).
% 2.22/1.73 tff(1673,plain,
% 2.22/1.73 (until5(s16)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1292, 1672])).
% 2.22/1.73 tff(1674,plain,
% 2.22/1.73 (xuntil6(s17)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1501, 1673])).
% 2.22/1.73 tff(1675,plain,
% 2.22/1.73 (until5(s18)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1506, 1674])).
% 2.22/1.73 tff(1676,plain,
% 2.22/1.73 (node4(s18) | (~until5(s18))),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1513, 225, 1667])).
% 2.22/1.73 tff(1677,plain,
% 2.22/1.73 (node4(s18)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1676, 1675])).
% 2.22/1.73 tff(1678,plain,
% 2.22/1.73 ($false),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1383, 113, 1668, 1677])).
% 2.22/1.73 tff(1679,plain,(always3(s18) | xuntil6(s18)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.73 tff(1680,plain,
% 2.22/1.73 (always3(s18)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1679, 1667])).
% 2.22/1.73 tff(1681,plain,
% 2.22/1.73 (always3(s19)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1379, 1680])).
% 2.22/1.73 tff(1682,plain,
% 2.22/1.73 (~m_main_v_state(s19, c_busy)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1659, 145, 1681])).
% 2.22/1.73 tff(1683,plain,
% 2.22/1.73 (xuntil6(s17)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1501, 1293])).
% 2.22/1.73 tff(1684,plain,
% 2.22/1.73 (until5(s18)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1506, 1683])).
% 2.22/1.73 tff(1685,plain,
% 2.22/1.73 (xuntil6(s18) | node4(s18)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1513, 225, 1684])).
% 2.22/1.73 tff(1686,plain,
% 2.22/1.73 (node4(s18)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1685, 1667])).
% 2.22/1.73 tff(1687,plain,
% 2.22/1.73 (((~![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)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1688,plain,
% 2.22/1.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s18) | (~node4(s18)))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1689,plain,
% 2.22/1.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s18) | (~node4(s18))),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1688, 1687])).
% 2.22/1.73 tff(1690,plain,
% 2.22/1.73 (m_main_v_request(s18)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1689, 63, 1686])).
% 2.22/1.73 tff(1691,plain,
% 2.22/1.73 (((~![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))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1692,plain,
% 2.22/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s18, s19)) | node2(s18, s19))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1693,plain,
% 2.22/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s18, s19)) | node2(s18, s19)),
% 2.22/1.73 inference(modus_ponens,[status(thm)],[1692, 1691])).
% 2.22/1.73 tff(1694,plain,
% 2.22/1.73 (node2(s18, s19)),
% 2.22/1.73 inference(unit_resolution,[status(thm)],[1693, 7, 1375])).
% 2.22/1.73 tff(1695,plain,
% 2.22/1.73 (((~![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(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)))),
% 2.22/1.73 inference(rewrite,[status(thm)],[])).
% 2.22/1.73 tff(1696,plain,
% 2.22/1.73 ((~![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(s18, c_ready)) | (~node2(s18, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18)))),
% 2.22/1.73 inference(quant_inst,[status(thm)],[])).
% 2.22/1.73 tff(1697,plain,
% 2.22/1.73 ((~![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(s18, c_ready)) | (~node2(s18, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18))),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1696, 1695])).
% 2.22/1.74 tff(1698,plain,
% 2.22/1.74 ((~m_main_v_state(s18, c_ready)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18))),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1697, 166, 1694])).
% 2.22/1.74 tff(1699,plain,
% 2.22/1.74 (~m_main_v_state(s18, c_ready)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1698, 1690, 1682])).
% 2.22/1.74 tff(1700,plain,
% 2.22/1.74 (~m_main_v_state(s18, c_busy)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1460, 145, 1680])).
% 2.22/1.74 tff(1701,plain,
% 2.22/1.74 (((~![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))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1702,plain,
% 2.22/1.74 ((~![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))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1703,plain,
% 2.22/1.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s18, c_busy) | m_main_v_state(s18, c_ready)),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1702, 1701])).
% 2.22/1.74 tff(1704,plain,
% 2.22/1.74 ($false),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1703, 188, 1700, 1699])).
% 2.22/1.74 tff(1705,plain,(xuntil6(s18)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.74 tff(1706,plain,
% 2.22/1.74 (until5(s19)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1519, 1705])).
% 2.22/1.74 tff(1707,plain,
% 2.22/1.74 (xuntil6(s19) | node4(s19)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1526, 225, 1706])).
% 2.22/1.74 tff(1708,plain,
% 2.22/1.74 (xuntil6(s19)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1707, 1666])).
% 2.22/1.74 tff(1709,plain,
% 2.22/1.74 (until5(s20)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1531, 1708])).
% 2.22/1.74 tff(1710,plain,
% 2.22/1.74 (node4(s20)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1601, 1709])).
% 2.22/1.74 tff(1711,plain,
% 2.22/1.74 (((~![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)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1712,plain,
% 2.22/1.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s20) | (~node4(s20)))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1713,plain,
% 2.22/1.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s20) | (~node4(s20))),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1712, 1711])).
% 2.22/1.74 tff(1714,plain,
% 2.22/1.74 (m_main_v_request(s20)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1713, 63, 1710])).
% 2.22/1.74 tff(1715,plain,
% 2.22/1.74 (((~![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))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1716,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s20, s21)) | node2(s20, s21))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1717,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s20, s21)) | node2(s20, s21)),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1716, 1715])).
% 2.22/1.74 tff(1718,plain,
% 2.22/1.74 (node2(s20, s21)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1717, 7, 1347])).
% 2.22/1.74 tff(1719,plain,
% 2.22/1.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1720,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s20, c_ready)) | (~node2(s20, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20)))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1721,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s20, c_ready)) | (~node2(s20, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20))),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1720, 1719])).
% 2.22/1.74 tff(1722,plain,
% 2.22/1.74 ((~m_main_v_state(s20, c_ready)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20))),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1721, 166, 1718])).
% 2.22/1.74 tff(1723,plain,
% 2.22/1.74 ($false),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1722, 1714, 1637, 1626])).
% 2.22/1.74 tff(1724,plain,(xuntil6(s20)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.74 tff(1725,plain,
% 2.22/1.74 (until5(s21)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1342, 1724])).
% 2.22/1.74 tff(1726,plain,
% 2.22/1.74 (xuntil6(s21) | node4(s21)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1334, 225, 1725])).
% 2.22/1.74 tff(1727,plain,
% 2.22/1.74 (node4(s21)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1726, 1595])).
% 2.22/1.74 tff(1728,assumption,(~m_main_v_state(s22, c_busy)), introduced(assumption)).
% 2.22/1.74 tff(1729,assumption,(node4(s21)), introduced(assumption)).
% 2.22/1.74 tff(1730,plain,
% 2.22/1.74 (((~![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)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1731,plain,
% 2.22/1.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s21) | (~node4(s21)))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1732,plain,
% 2.22/1.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s21) | (~node4(s21))),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1731, 1730])).
% 2.22/1.74 tff(1733,plain,
% 2.22/1.74 (m_main_v_request(s21)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1732, 63, 1729])).
% 2.22/1.74 tff(1734,plain,
% 2.22/1.74 (((~![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))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1735,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s21, s22)) | node2(s21, s22))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1736,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s21, s22)) | node2(s21, s22)),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1735, 1734])).
% 2.22/1.74 tff(1737,plain,
% 2.22/1.74 (node2(s21, s22)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1736, 7, 1302])).
% 2.22/1.74 tff(1738,plain,
% 2.22/1.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1739,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s21, c_ready)) | (~node2(s21, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21)))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1740,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s21, c_ready)) | (~node2(s21, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21))),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1739, 1738])).
% 2.22/1.74 tff(1741,plain,
% 2.22/1.74 ((~m_main_v_state(s21, c_ready)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21))),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1740, 166, 1737])).
% 2.22/1.74 tff(1742,plain,
% 2.22/1.74 (~m_main_v_state(s21, c_ready)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1741, 1733, 1728])).
% 2.22/1.74 tff(1743,plain,
% 2.22/1.74 (always3(s21)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1310, 113, 1729])).
% 2.22/1.74 tff(1744,plain,
% 2.22/1.74 (~m_main_v_state(s21, c_busy)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1625, 145, 1743])).
% 2.22/1.74 tff(1745,plain,
% 2.22/1.74 (((~![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))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1746,plain,
% 2.22/1.74 ((~![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))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1747,plain,
% 2.22/1.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s21, c_busy) | m_main_v_state(s21, c_ready)),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1746, 1745])).
% 2.22/1.74 tff(1748,plain,
% 2.22/1.74 ($false),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1747, 188, 1744, 1742])).
% 2.22/1.74 tff(1749,plain,((~node4(s21)) | m_main_v_state(s22, c_busy)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.74 tff(1750,plain,
% 2.22/1.74 (m_main_v_state(s22, c_busy)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1749, 1727])).
% 2.22/1.74 tff(1751,plain,
% 2.22/1.74 ($false),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1591, 145, 1546, 1750])).
% 2.22/1.74 tff(1752,plain,(xuntil6(s22)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.74 tff(1753,plain,
% 2.22/1.74 (((~![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))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1754,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s22, s23)) | (~xuntil6(s22)) | until5(s23))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1755,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s22, s23)) | (~xuntil6(s22)) | until5(s23)),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1754, 1753])).
% 2.22/1.74 tff(1756,plain,
% 2.22/1.74 ((~xuntil6(s22)) | until5(s23)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1755, 1549, 243])).
% 2.22/1.74 tff(1757,plain,
% 2.22/1.74 (until5(s23)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1756, 1752])).
% 2.22/1.74 tff(1758,assumption,(until5(s23)), introduced(assumption)).
% 2.22/1.74 tff(1759,assumption,(~xuntil6(s25)), introduced(assumption)).
% 2.22/1.74 tff(1760,assumption,(~always3(s25)), introduced(assumption)).
% 2.22/1.74 tff(1761,plain,
% 2.22/1.74 (succ(s24, s25) <=> succ(s24, s25)),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1762,axiom,(succ(s24, s25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound25')).
% 2.22/1.74 tff(1763,plain,
% 2.22/1.74 (succ(s24, s25)),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1762, 1761])).
% 2.22/1.74 tff(1764,plain,
% 2.22/1.74 (((~![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))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1765,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1766,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25)),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1765, 1764])).
% 2.22/1.74 tff(1767,plain,
% 2.22/1.74 (trans(s24, s25)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1766, 1763, 21])).
% 2.22/1.74 tff(1768,plain,
% 2.22/1.74 (((~![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))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1769,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s24, s25)) | (~always3(s24)) | always3(s25))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1770,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s24, s25)) | (~always3(s24)) | always3(s25)),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1769, 1768])).
% 2.22/1.74 tff(1771,plain,
% 2.22/1.74 ((~always3(s24)) | always3(s25)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1770, 38, 1767])).
% 2.22/1.74 tff(1772,plain,
% 2.22/1.74 (~always3(s24)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1771, 1760])).
% 2.22/1.74 tff(1773,plain,
% 2.22/1.74 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s24) | (~node4(s24)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s24) | (~node4(s24)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1774,plain,
% 2.22/1.74 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s24) | (~node4(s24)))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1775,plain,
% 2.22/1.74 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s24) | (~node4(s24))),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1774, 1773])).
% 2.22/1.74 tff(1776,plain,
% 2.22/1.74 (~node4(s24)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1775, 113, 1772])).
% 2.22/1.74 tff(1777,plain,
% 2.22/1.74 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s25) | (~node4(s25)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s25) | (~node4(s25)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1778,plain,
% 2.22/1.74 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s25) | (~node4(s25)))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1779,plain,
% 2.22/1.74 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s25) | (~node4(s25))),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1778, 1777])).
% 2.22/1.74 tff(1780,plain,
% 2.22/1.74 (~node4(s25)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1779, 113, 1760])).
% 2.22/1.74 tff(1781,plain,
% 2.22/1.74 (((~![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)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1782,plain,
% 2.22/1.74 ((node4(s25) | (~until5(s25)) | xuntil6(s25)) <=> (xuntil6(s25) | node4(s25) | (~until5(s25)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1783,plain,
% 2.22/1.74 (((~![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))))),
% 2.22/1.74 inference(monotonicity,[status(thm)],[1782])).
% 2.22/1.74 tff(1784,plain,
% 2.22/1.74 (((~![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)))),
% 2.22/1.74 inference(transitivity,[status(thm)],[1783, 1781])).
% 2.22/1.74 tff(1785,plain,
% 2.22/1.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s25) | (~until5(s25)) | xuntil6(s25))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1786,plain,
% 2.22/1.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s25) | node4(s25) | (~until5(s25))),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1785, 1784])).
% 2.22/1.74 tff(1787,plain,
% 2.22/1.74 (node4(s25) | (~until5(s25))),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1786, 225, 1759])).
% 2.22/1.74 tff(1788,plain,
% 2.22/1.74 (~until5(s25)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1787, 1780])).
% 2.22/1.74 tff(1789,plain,
% 2.22/1.74 (((~![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))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1790,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1791,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25)),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1790, 1789])).
% 2.22/1.74 tff(1792,plain,
% 2.22/1.74 ((~xuntil6(s24)) | until5(s25)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1791, 1763, 243])).
% 2.22/1.74 tff(1793,plain,
% 2.22/1.74 (~xuntil6(s24)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1792, 1788])).
% 2.22/1.74 tff(1794,plain,
% 2.22/1.74 (((~![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)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1795,plain,
% 2.22/1.74 ((node4(s24) | (~until5(s24)) | xuntil6(s24)) <=> (xuntil6(s24) | node4(s24) | (~until5(s24)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1796,plain,
% 2.22/1.74 (((~![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))))),
% 2.22/1.74 inference(monotonicity,[status(thm)],[1795])).
% 2.22/1.74 tff(1797,plain,
% 2.22/1.74 (((~![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)))),
% 2.22/1.74 inference(transitivity,[status(thm)],[1796, 1794])).
% 2.22/1.74 tff(1798,plain,
% 2.22/1.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s24) | (~until5(s24)) | xuntil6(s24))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1799,plain,
% 2.22/1.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s24) | node4(s24) | (~until5(s24))),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 2.22/1.74 tff(1800,plain,
% 2.22/1.74 (~until5(s24)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1799, 225, 1793, 1776])).
% 2.22/1.74 tff(1801,plain,
% 2.22/1.74 (succ(s23, s24) <=> succ(s23, s24)),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1802,axiom,(succ(s23, s24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound24')).
% 2.22/1.74 tff(1803,plain,
% 2.22/1.74 (succ(s23, s24)),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1802, 1801])).
% 2.22/1.74 tff(1804,plain,
% 2.22/1.74 (((~![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))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1805,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s23, s24)) | (~xuntil6(s23)) | until5(s24))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1806,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s23, s24)) | (~xuntil6(s23)) | until5(s24)),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1805, 1804])).
% 2.22/1.74 tff(1807,plain,
% 2.22/1.74 ((~xuntil6(s23)) | until5(s24)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1806, 1803, 243])).
% 2.22/1.74 tff(1808,plain,
% 2.22/1.74 (~xuntil6(s23)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1807, 1800])).
% 2.22/1.74 tff(1809,plain,
% 2.22/1.74 (((~![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))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1810,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1811,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24)),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1810, 1809])).
% 2.22/1.74 tff(1812,plain,
% 2.22/1.74 (trans(s23, s24)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1811, 1803, 21])).
% 2.22/1.74 tff(1813,plain,
% 2.22/1.74 (((~![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))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1814,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s23, s24)) | (~always3(s23)) | always3(s24))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1815,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s23, s24)) | (~always3(s23)) | always3(s24)),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1814, 1813])).
% 2.22/1.74 tff(1816,plain,
% 2.22/1.74 ((~always3(s23)) | always3(s24)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1815, 38, 1812])).
% 2.22/1.74 tff(1817,plain,
% 2.22/1.74 (~always3(s23)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1816, 1772])).
% 2.22/1.74 tff(1818,plain,
% 2.22/1.74 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s23) | (~node4(s23)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s23) | (~node4(s23)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1819,plain,
% 2.22/1.74 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s23) | (~node4(s23)))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1820,plain,
% 2.22/1.74 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s23) | (~node4(s23))),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1819, 1818])).
% 2.22/1.74 tff(1821,plain,
% 2.22/1.74 (~node4(s23)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1820, 113, 1817])).
% 2.22/1.74 tff(1822,plain,
% 2.22/1.74 (((~![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)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1823,plain,
% 2.22/1.74 ((node4(s23) | (~until5(s23)) | xuntil6(s23)) <=> (xuntil6(s23) | node4(s23) | (~until5(s23)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1824,plain,
% 2.22/1.74 (((~![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))))),
% 2.22/1.74 inference(monotonicity,[status(thm)],[1823])).
% 2.22/1.74 tff(1825,plain,
% 2.22/1.74 (((~![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)))),
% 2.22/1.74 inference(transitivity,[status(thm)],[1824, 1822])).
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% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1827,plain,
% 2.22/1.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s23) | node4(s23) | (~until5(s23))),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 2.22/1.74 tff(1828,plain,
% 2.22/1.74 (xuntil6(s23) | (~until5(s23))),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1827, 225, 1821])).
% 2.22/1.74 tff(1829,plain,
% 2.22/1.74 (~until5(s23)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1828, 1808])).
% 2.22/1.74 tff(1830,plain,
% 2.22/1.74 (~xuntil6(s22)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1756, 1829])).
% 2.22/1.74 tff(1831,plain,
% 2.22/1.74 (~always3(s22)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1557, 1817])).
% 2.22/1.74 tff(1832,plain,
% 2.22/1.74 (~node4(s22)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1314, 113, 1831])).
% 2.22/1.74 tff(1833,plain,
% 2.22/1.74 (xuntil6(s22) | (~until5(s22))),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1321, 225, 1832])).
% 2.22/1.74 tff(1834,plain,
% 2.22/1.74 (~until5(s22)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1833, 1830])).
% 2.22/1.74 tff(1835,plain,
% 2.22/1.74 (~always3(s21)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1306, 1831])).
% 2.22/1.74 tff(1836,plain,
% 2.22/1.74 (~always3(s20)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1351, 1835])).
% 2.22/1.74 tff(1837,plain,
% 2.22/1.74 (~always3(s19)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1363, 1836])).
% 2.22/1.74 tff(1838,plain,
% 2.22/1.74 (~node4(s19)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1367, 113, 1837])).
% 2.22/1.74 tff(1839,plain,
% 2.22/1.74 (~always3(s18)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1379, 1837])).
% 2.22/1.74 tff(1840,plain,
% 2.22/1.74 (~node4(s18)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1383, 113, 1839])).
% 2.22/1.74 tff(1841,plain,
% 2.22/1.74 (~always3(s17)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1395, 1839])).
% 2.22/1.74 tff(1842,plain,
% 2.22/1.74 (~always3(s16)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1407, 1841])).
% 2.22/1.74 tff(1843,plain,
% 2.22/1.74 (~always3(s15)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[654, 1842])).
% 2.22/1.74 tff(1844,plain,
% 2.22/1.74 (xuntil6(s15)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[642, 1843])).
% 2.22/1.74 tff(1845,plain,
% 2.22/1.74 (until5(s16)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1292, 1844])).
% 2.22/1.74 tff(1846,plain,
% 2.22/1.74 (xuntil6(s17)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1501, 1845])).
% 2.22/1.74 tff(1847,plain,
% 2.22/1.74 (until5(s18)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1506, 1846])).
% 2.22/1.74 tff(1848,plain,
% 2.22/1.74 (xuntil6(s18) | node4(s18)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1513, 225, 1847])).
% 2.22/1.74 tff(1849,plain,
% 2.22/1.74 (xuntil6(s18)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1848, 1840])).
% 2.22/1.74 tff(1850,plain,
% 2.22/1.74 (until5(s19)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1519, 1849])).
% 2.22/1.74 tff(1851,plain,
% 2.22/1.74 (xuntil6(s19)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1526, 225, 1850, 1838])).
% 2.22/1.74 tff(1852,plain,
% 2.22/1.74 (until5(s20)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1531, 1851])).
% 2.22/1.74 tff(1853,plain,
% 2.22/1.74 (~node4(s20)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1535, 113, 1836])).
% 2.22/1.74 tff(1854,plain,
% 2.22/1.74 (xuntil6(s20) | (~until5(s20))),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1542, 225, 1853])).
% 2.22/1.74 tff(1855,plain,
% 2.22/1.74 (xuntil6(s20)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1854, 1852])).
% 2.22/1.74 tff(1856,plain,
% 2.22/1.74 (until5(s21)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1342, 1855])).
% 2.22/1.74 tff(1857,plain,
% 2.22/1.74 (~node4(s21)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1310, 113, 1835])).
% 2.22/1.74 tff(1858,plain,
% 2.22/1.74 (xuntil6(s21) | (~until5(s21))),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1334, 225, 1857])).
% 2.22/1.74 tff(1859,plain,
% 2.22/1.74 (xuntil6(s21)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1858, 1856])).
% 2.22/1.74 tff(1860,plain,
% 2.22/1.74 ($false),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1327, 1859, 1834])).
% 2.22/1.74 tff(1861,plain,(always3(s25) | xuntil6(s25)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.74 tff(1862,plain,
% 2.22/1.74 (always3(s25)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1861, 1759])).
% 2.22/1.74 tff(1863,plain,
% 2.22/1.74 (succ(s25, s26) <=> succ(s25, s26)),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1864,axiom,(succ(s25, s26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound26')).
% 2.22/1.74 tff(1865,plain,
% 2.22/1.74 (succ(s25, s26)),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1864, 1863])).
% 2.22/1.74 tff(1866,plain,
% 2.22/1.74 (((~![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))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1867,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1868,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26)),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1867, 1866])).
% 2.22/1.74 tff(1869,plain,
% 2.22/1.74 (trans(s25, s26)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1868, 1865, 21])).
% 2.22/1.74 tff(1870,plain,
% 2.22/1.74 (((~![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))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1871,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s25, s26)) | (~always3(s25)) | always3(s26))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1872,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s25, s26)) | (~always3(s25)) | always3(s26)),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1871, 1870])).
% 2.22/1.74 tff(1873,plain,
% 2.22/1.74 ((~always3(s25)) | always3(s26)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1872, 38, 1869])).
% 2.22/1.74 tff(1874,plain,
% 2.22/1.74 (always3(s26)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1873, 1862])).
% 2.22/1.74 tff(1875,plain,
% 2.22/1.74 (((~![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)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1876,plain,
% 2.22/1.74 (((~m_main_v_state(s26, c_busy)) | (~always3(s26))) <=> ((~always3(s26)) | (~m_main_v_state(s26, c_busy)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1877,plain,
% 2.22/1.74 (((~![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))))),
% 2.22/1.74 inference(monotonicity,[status(thm)],[1876])).
% 2.22/1.74 tff(1878,plain,
% 2.22/1.74 (((~![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)))),
% 2.22/1.74 inference(transitivity,[status(thm)],[1877, 1875])).
% 2.22/1.74 tff(1879,plain,
% 2.22/1.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s26, c_busy)) | (~always3(s26)))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1880,plain,
% 2.22/1.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s26)) | (~m_main_v_state(s26, c_busy))),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1879, 1878])).
% 2.22/1.74 tff(1881,plain,
% 2.22/1.74 (~m_main_v_state(s26, c_busy)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1880, 145, 1874])).
% 2.22/1.74 tff(1882,assumption,(until5(s25)), introduced(assumption)).
% 2.22/1.74 tff(1883,plain,
% 2.22/1.74 (xuntil6(s25) | node4(s25)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1786, 225, 1882])).
% 2.22/1.74 tff(1884,plain,
% 2.22/1.74 (node4(s25)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1883, 1759])).
% 2.22/1.74 tff(1885,plain,
% 2.22/1.74 (((~![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)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1886,plain,
% 2.22/1.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s25) | (~node4(s25)))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1887,plain,
% 2.22/1.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s25) | (~node4(s25))),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1886, 1885])).
% 2.22/1.74 tff(1888,plain,
% 2.22/1.74 (m_main_v_request(s25)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1887, 63, 1884])).
% 2.22/1.74 tff(1889,plain,
% 2.22/1.74 (((~![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))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1890,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s25, s26)) | node2(s25, s26))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1891,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s25, s26)) | node2(s25, s26)),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1890, 1889])).
% 2.22/1.74 tff(1892,plain,
% 2.22/1.74 (node2(s25, s26)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1891, 7, 1869])).
% 2.22/1.74 tff(1893,plain,
% 2.22/1.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1894,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s25, c_ready)) | (~node2(s25, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25)))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1895,plain,
% 2.22/1.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s25, c_ready)) | (~node2(s25, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25))),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1894, 1893])).
% 2.22/1.74 tff(1896,plain,
% 2.22/1.74 ((~m_main_v_state(s25, c_ready)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25))),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1895, 166, 1892])).
% 2.22/1.74 tff(1897,plain,
% 2.22/1.74 (~m_main_v_state(s25, c_ready)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1896, 1888, 1881])).
% 2.22/1.74 tff(1898,plain,
% 2.22/1.74 (((~![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)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1899,plain,
% 2.22/1.74 (((~m_main_v_state(s25, c_busy)) | (~always3(s25))) <=> ((~always3(s25)) | (~m_main_v_state(s25, c_busy)))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1900,plain,
% 2.22/1.74 (((~![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))))),
% 2.22/1.74 inference(monotonicity,[status(thm)],[1899])).
% 2.22/1.74 tff(1901,plain,
% 2.22/1.74 (((~![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)))),
% 2.22/1.74 inference(transitivity,[status(thm)],[1900, 1898])).
% 2.22/1.74 tff(1902,plain,
% 2.22/1.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s25, c_busy)) | (~always3(s25)))),
% 2.22/1.74 inference(quant_inst,[status(thm)],[])).
% 2.22/1.74 tff(1903,plain,
% 2.22/1.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s25)) | (~m_main_v_state(s25, c_busy))),
% 2.22/1.74 inference(modus_ponens,[status(thm)],[1902, 1901])).
% 2.22/1.74 tff(1904,plain,
% 2.22/1.74 (~m_main_v_state(s25, c_busy)),
% 2.22/1.74 inference(unit_resolution,[status(thm)],[1903, 145, 1862])).
% 2.22/1.74 tff(1905,plain,
% 2.22/1.74 (((~![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))),
% 2.22/1.74 inference(rewrite,[status(thm)],[])).
% 2.22/1.74 tff(1906,plain,
% 2.22/1.74 ((~![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))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(1907,plain,
% 2.22/1.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s25, c_busy) | m_main_v_state(s25, c_ready)),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[1906, 1905])).
% 2.22/1.75 tff(1908,plain,
% 2.22/1.75 ($false),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1907, 188, 1904, 1897])).
% 2.22/1.75 tff(1909,plain,(xuntil6(s25) | (~until5(s25))), inference(lemma,lemma(discharge,[]))).
% 2.22/1.75 tff(1910,plain,
% 2.22/1.75 (~until5(s25)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1909, 1759])).
% 2.22/1.75 tff(1911,plain,
% 2.22/1.75 (~xuntil6(s24)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1792, 1910])).
% 2.22/1.75 tff(1912,assumption,(~xuntil6(s24)), introduced(assumption)).
% 2.22/1.75 tff(1913,assumption,(~always3(s24)), introduced(assumption)).
% 2.22/1.75 tff(1914,plain,
% 2.22/1.75 (~always3(s23)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1816, 1913])).
% 2.22/1.75 tff(1915,plain,
% 2.22/1.75 (~node4(s23)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1820, 113, 1914])).
% 2.22/1.75 tff(1916,plain,
% 2.22/1.75 (xuntil6(s23) | node4(s23)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1827, 225, 1758])).
% 2.22/1.75 tff(1917,plain,
% 2.22/1.75 (xuntil6(s23)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1916, 1915])).
% 2.22/1.75 tff(1918,plain,
% 2.22/1.75 (until5(s24)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1807, 1917])).
% 2.22/1.75 tff(1919,plain,
% 2.22/1.75 (node4(s24) | (~until5(s24))),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1799, 225, 1912])).
% 2.22/1.75 tff(1920,plain,
% 2.22/1.75 (node4(s24)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1919, 1918])).
% 2.22/1.75 tff(1921,plain,
% 2.22/1.75 ($false),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1775, 113, 1913, 1920])).
% 2.22/1.75 tff(1922,plain,(always3(s24) | xuntil6(s24) | (~until5(s23))), inference(lemma,lemma(discharge,[]))).
% 2.22/1.75 tff(1923,plain,
% 2.22/1.75 (always3(s24)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1922, 1758, 1912])).
% 2.22/1.75 tff(1924,plain,
% 2.22/1.75 (((~![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)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(1925,plain,
% 2.22/1.75 (((~m_main_v_state(s24, c_busy)) | (~always3(s24))) <=> ((~always3(s24)) | (~m_main_v_state(s24, c_busy)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(1926,plain,
% 2.22/1.75 (((~![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))))),
% 2.22/1.75 inference(monotonicity,[status(thm)],[1925])).
% 2.22/1.75 tff(1927,plain,
% 2.22/1.75 (((~![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)))),
% 2.22/1.75 inference(transitivity,[status(thm)],[1926, 1924])).
% 2.22/1.75 tff(1928,plain,
% 2.22/1.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s24, c_busy)) | (~always3(s24)))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(1929,plain,
% 2.22/1.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s24)) | (~m_main_v_state(s24, c_busy))),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[1928, 1927])).
% 2.22/1.75 tff(1930,plain,
% 2.22/1.75 (~m_main_v_state(s24, c_busy)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1929, 145, 1923])).
% 2.22/1.75 tff(1931,assumption,(~m_main_v_state(s25, c_busy)), introduced(assumption)).
% 2.22/1.75 tff(1932,plain,
% 2.22/1.75 (((~![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))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(1933,plain,
% 2.22/1.75 ((~![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))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(1934,plain,
% 2.22/1.75 ((~![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)),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[1933, 1932])).
% 2.22/1.75 tff(1935,plain,
% 2.22/1.75 (m_main_v_state(s24, c_ready)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1934, 188, 1930])).
% 2.22/1.75 tff(1936,plain,
% 2.22/1.75 (((~![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))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(1937,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s24, s25)) | node2(s24, s25))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(1938,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s24, s25)) | node2(s24, s25)),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[1937, 1936])).
% 2.22/1.75 tff(1939,plain,
% 2.22/1.75 (node2(s24, s25)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1938, 7, 1767])).
% 2.22/1.75 tff(1940,plain,
% 2.22/1.75 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(1941,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s24, c_ready)) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24)))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(1942,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s24, c_ready)) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24))),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[1941, 1940])).
% 2.22/1.75 tff(1943,plain,
% 2.22/1.75 ((~m_main_v_state(s24, c_ready)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24))),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1942, 166, 1939])).
% 2.22/1.75 tff(1944,plain,
% 2.22/1.75 (~m_main_v_request(s24)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1943, 1935, 1931])).
% 2.22/1.75 tff(1945,plain,
% 2.22/1.75 (((~![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)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(1946,plain,
% 2.22/1.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s24) | (~node4(s24)))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(1947,plain,
% 2.22/1.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s24) | (~node4(s24))),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[1946, 1945])).
% 2.22/1.75 tff(1948,plain,
% 2.22/1.75 (~node4(s24)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1947, 63, 1944])).
% 2.22/1.75 tff(1949,plain,
% 2.22/1.75 (~until5(s24)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1919, 1948])).
% 2.22/1.75 tff(1950,plain,
% 2.22/1.75 (~xuntil6(s23)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1807, 1949])).
% 2.22/1.75 tff(1951,plain,
% 2.22/1.75 (node4(s23)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1916, 1950])).
% 2.22/1.75 tff(1952,plain,
% 2.22/1.75 (((~![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)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(1953,plain,
% 2.22/1.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s23) | (~node4(s23)))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(1954,plain,
% 2.22/1.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s23) | (~node4(s23))),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[1953, 1952])).
% 2.22/1.75 tff(1955,plain,
% 2.22/1.75 (m_main_v_request(s23)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1954, 63, 1951])).
% 2.22/1.75 tff(1956,plain,
% 2.22/1.75 (((~![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))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(1957,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s23, s24)) | node2(s23, s24))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(1958,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s23, s24)) | node2(s23, s24)),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[1957, 1956])).
% 2.22/1.75 tff(1959,plain,
% 2.22/1.75 (node2(s23, s24)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1958, 7, 1812])).
% 2.22/1.75 tff(1960,plain,
% 2.22/1.75 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(1961,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s23, c_ready)) | (~node2(s23, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23)))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(1962,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s23, c_ready)) | (~node2(s23, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23))),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[1961, 1960])).
% 2.22/1.75 tff(1963,plain,
% 2.22/1.75 ((~m_main_v_state(s23, c_ready)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23))),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1962, 166, 1959])).
% 2.22/1.75 tff(1964,plain,
% 2.22/1.75 (~m_main_v_state(s23, c_ready)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1963, 1955, 1930])).
% 2.22/1.75 tff(1965,plain,
% 2.22/1.75 (always3(s23)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1820, 113, 1951])).
% 2.22/1.75 tff(1966,plain,
% 2.22/1.75 (~m_main_v_state(s23, c_busy)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1564, 145, 1965])).
% 2.22/1.75 tff(1967,plain,
% 2.22/1.75 (((~![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))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(1968,plain,
% 2.22/1.75 ((~![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))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(1969,plain,
% 2.22/1.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s23, c_busy) | m_main_v_state(s23, c_ready)),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[1968, 1967])).
% 2.22/1.75 tff(1970,plain,
% 2.22/1.75 ($false),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1969, 188, 1966, 1964])).
% 2.22/1.75 tff(1971,plain,((~until5(s23)) | xuntil6(s24) | m_main_v_state(s25, c_busy)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.75 tff(1972,plain,
% 2.22/1.75 (m_main_v_state(s25, c_busy)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1971, 1911, 1758])).
% 2.22/1.75 tff(1973,plain,
% 2.22/1.75 ($false),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1903, 145, 1862, 1972])).
% 2.22/1.75 tff(1974,plain,(xuntil6(s25) | (~until5(s23))), inference(lemma,lemma(discharge,[]))).
% 2.22/1.75 tff(1975,plain,
% 2.22/1.75 (xuntil6(s25)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1974, 1757])).
% 2.22/1.75 tff(1976,plain,
% 2.22/1.75 (((~![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))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(1977,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s25, s26)) | (~xuntil6(s25)) | until5(s26))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(1978,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s25, s26)) | (~xuntil6(s25)) | until5(s26)),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[1977, 1976])).
% 2.22/1.75 tff(1979,plain,
% 2.22/1.75 ((~xuntil6(s25)) | until5(s26)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1978, 1865, 243])).
% 2.22/1.75 tff(1980,plain,
% 2.22/1.75 (until5(s26)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1979, 1975])).
% 2.22/1.75 tff(1981,assumption,(~xuntil6(s27)), introduced(assumption)).
% 2.22/1.75 tff(1982,assumption,(~always3(s27)), introduced(assumption)).
% 2.22/1.75 tff(1983,plain,
% 2.22/1.75 (succ(s26, s27) <=> succ(s26, s27)),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(1984,axiom,(succ(s26, s27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound27')).
% 2.22/1.75 tff(1985,plain,
% 2.22/1.75 (succ(s26, s27)),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[1984, 1983])).
% 2.22/1.75 tff(1986,plain,
% 2.22/1.75 (((~![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))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(1987,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(1988,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27)),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[1987, 1986])).
% 2.22/1.75 tff(1989,plain,
% 2.22/1.75 (trans(s26, s27)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1988, 1985, 21])).
% 2.22/1.75 tff(1990,plain,
% 2.22/1.75 (((~![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))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(1991,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s26, s27)) | (~always3(s26)) | always3(s27))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(1992,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s26, s27)) | (~always3(s26)) | always3(s27)),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[1991, 1990])).
% 2.22/1.75 tff(1993,plain,
% 2.22/1.75 ((~always3(s26)) | always3(s27)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1992, 38, 1989])).
% 2.22/1.75 tff(1994,plain,
% 2.22/1.75 (~always3(s26)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1993, 1982])).
% 2.22/1.75 tff(1995,plain,
% 2.22/1.75 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s26) | (~node4(s26)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s26) | (~node4(s26)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(1996,plain,
% 2.22/1.75 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s26) | (~node4(s26)))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(1997,plain,
% 2.22/1.75 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s26) | (~node4(s26))),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[1996, 1995])).
% 2.22/1.75 tff(1998,plain,
% 2.22/1.75 (~node4(s26)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1997, 113, 1994])).
% 2.22/1.75 tff(1999,plain,
% 2.22/1.75 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s27) | (~node4(s27)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s27) | (~node4(s27)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(2000,plain,
% 2.22/1.75 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s27) | (~node4(s27)))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(2001,plain,
% 2.22/1.75 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s27) | (~node4(s27))),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[2000, 1999])).
% 2.22/1.75 tff(2002,plain,
% 2.22/1.75 (~node4(s27)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2001, 113, 1982])).
% 2.22/1.75 tff(2003,plain,
% 2.22/1.75 (((~![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)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(2004,plain,
% 2.22/1.75 ((node4(s27) | (~until5(s27)) | xuntil6(s27)) <=> (xuntil6(s27) | node4(s27) | (~until5(s27)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(2005,plain,
% 2.22/1.75 (((~![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))))),
% 2.22/1.75 inference(monotonicity,[status(thm)],[2004])).
% 2.22/1.75 tff(2006,plain,
% 2.22/1.75 (((~![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)))),
% 2.22/1.75 inference(transitivity,[status(thm)],[2005, 2003])).
% 2.22/1.75 tff(2007,plain,
% 2.22/1.75 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s27) | (~until5(s27)) | xuntil6(s27))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(2008,plain,
% 2.22/1.75 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s27) | node4(s27) | (~until5(s27))),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[2007, 2006])).
% 2.22/1.75 tff(2009,plain,
% 2.22/1.75 (node4(s27) | (~until5(s27))),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2008, 225, 1981])).
% 2.22/1.75 tff(2010,plain,
% 2.22/1.75 (~until5(s27)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2009, 2002])).
% 2.22/1.75 tff(2011,plain,
% 2.22/1.75 (((~![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))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(2012,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(2013,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27)),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[2012, 2011])).
% 2.22/1.75 tff(2014,plain,
% 2.22/1.75 ((~xuntil6(s26)) | until5(s27)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2013, 1985, 243])).
% 2.22/1.75 tff(2015,plain,
% 2.22/1.75 (~xuntil6(s26)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2014, 2010])).
% 2.22/1.75 tff(2016,plain,
% 2.22/1.75 (((~![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)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(2017,plain,
% 2.22/1.75 ((node4(s26) | (~until5(s26)) | xuntil6(s26)) <=> (xuntil6(s26) | node4(s26) | (~until5(s26)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(2018,plain,
% 2.22/1.75 (((~![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))))),
% 2.22/1.75 inference(monotonicity,[status(thm)],[2017])).
% 2.22/1.75 tff(2019,plain,
% 2.22/1.75 (((~![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)))),
% 2.22/1.75 inference(transitivity,[status(thm)],[2018, 2016])).
% 2.22/1.75 tff(2020,plain,
% 2.22/1.75 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s26) | (~until5(s26)) | xuntil6(s26))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(2021,plain,
% 2.22/1.75 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s26) | node4(s26) | (~until5(s26))),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[2020, 2019])).
% 2.22/1.75 tff(2022,plain,
% 2.22/1.75 (~until5(s26)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2021, 225, 2015, 1998])).
% 2.22/1.75 tff(2023,plain,
% 2.22/1.75 (~xuntil6(s25)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1979, 2022])).
% 2.22/1.75 tff(2024,plain,
% 2.22/1.75 (~always3(s25)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1873, 1994])).
% 2.22/1.75 tff(2025,plain,
% 2.22/1.75 (~node4(s25)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1779, 113, 2024])).
% 2.22/1.75 tff(2026,plain,
% 2.22/1.75 (xuntil6(s25) | (~until5(s25))),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1786, 225, 2025])).
% 2.22/1.75 tff(2027,plain,
% 2.22/1.75 (~until5(s25)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2026, 2023])).
% 2.22/1.75 tff(2028,plain,
% 2.22/1.75 (~xuntil6(s24)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1792, 2027])).
% 2.22/1.75 tff(2029,plain,
% 2.22/1.75 (~always3(s24)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1771, 2024])).
% 2.22/1.75 tff(2030,plain,
% 2.22/1.75 (~node4(s24)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1775, 113, 2029])).
% 2.22/1.75 tff(2031,plain,
% 2.22/1.75 (xuntil6(s24) | (~until5(s24))),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1799, 225, 2030])).
% 2.22/1.75 tff(2032,plain,
% 2.22/1.75 (~until5(s24)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2031, 2028])).
% 2.22/1.75 tff(2033,plain,
% 2.22/1.75 (~xuntil6(s23)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1807, 2032])).
% 2.22/1.75 tff(2034,plain,
% 2.22/1.75 (~always3(s23)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1816, 2029])).
% 2.22/1.75 tff(2035,plain,
% 2.22/1.75 (~node4(s23)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1820, 113, 2034])).
% 2.22/1.75 tff(2036,plain,
% 2.22/1.75 (xuntil6(s23) | (~until5(s23))),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1827, 225, 2035])).
% 2.22/1.75 tff(2037,plain,
% 2.22/1.75 (~until5(s23)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2036, 2033])).
% 2.22/1.75 tff(2038,plain,
% 2.22/1.75 (~always3(s22)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1557, 2034])).
% 2.22/1.75 tff(2039,plain,
% 2.22/1.75 (~always3(s21)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1306, 2038])).
% 2.22/1.75 tff(2040,plain,
% 2.22/1.75 (~always3(s20)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1351, 2039])).
% 2.22/1.75 tff(2041,plain,
% 2.22/1.75 (~always3(s19)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1363, 2040])).
% 2.22/1.75 tff(2042,plain,
% 2.22/1.75 (~node4(s19)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1367, 113, 2041])).
% 2.22/1.75 tff(2043,plain,
% 2.22/1.75 (~always3(s18)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1379, 2041])).
% 2.22/1.75 tff(2044,plain,
% 2.22/1.75 (~node4(s18)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1383, 113, 2043])).
% 2.22/1.75 tff(2045,plain,
% 2.22/1.75 (~always3(s17)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1395, 2043])).
% 2.22/1.75 tff(2046,plain,
% 2.22/1.75 (~always3(s16)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1407, 2045])).
% 2.22/1.75 tff(2047,plain,
% 2.22/1.75 (~always3(s15)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[654, 2046])).
% 2.22/1.75 tff(2048,plain,
% 2.22/1.75 (xuntil6(s15)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[642, 2047])).
% 2.22/1.75 tff(2049,plain,
% 2.22/1.75 (until5(s16)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1292, 2048])).
% 2.22/1.75 tff(2050,plain,
% 2.22/1.75 (xuntil6(s17)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1501, 2049])).
% 2.22/1.75 tff(2051,plain,
% 2.22/1.75 (until5(s18)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1506, 2050])).
% 2.22/1.75 tff(2052,plain,
% 2.22/1.75 (xuntil6(s18) | node4(s18)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1513, 225, 2051])).
% 2.22/1.75 tff(2053,plain,
% 2.22/1.75 (xuntil6(s18)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2052, 2044])).
% 2.22/1.75 tff(2054,plain,
% 2.22/1.75 (until5(s19)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1519, 2053])).
% 2.22/1.75 tff(2055,plain,
% 2.22/1.75 (xuntil6(s19)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1526, 225, 2054, 2042])).
% 2.22/1.75 tff(2056,plain,
% 2.22/1.75 (until5(s20)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1531, 2055])).
% 2.22/1.75 tff(2057,plain,
% 2.22/1.75 (~node4(s20)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1535, 113, 2040])).
% 2.22/1.75 tff(2058,plain,
% 2.22/1.75 (xuntil6(s20) | (~until5(s20))),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1542, 225, 2057])).
% 2.22/1.75 tff(2059,plain,
% 2.22/1.75 (xuntil6(s20)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2058, 2056])).
% 2.22/1.75 tff(2060,plain,
% 2.22/1.75 (until5(s21)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1342, 2059])).
% 2.22/1.75 tff(2061,plain,
% 2.22/1.75 (~node4(s21)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1310, 113, 2039])).
% 2.22/1.75 tff(2062,plain,
% 2.22/1.75 (xuntil6(s21) | (~until5(s21))),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1334, 225, 2061])).
% 2.22/1.75 tff(2063,plain,
% 2.22/1.75 (xuntil6(s21)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2062, 2060])).
% 2.22/1.75 tff(2064,plain,
% 2.22/1.75 (until5(s22)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1327, 2063])).
% 2.22/1.75 tff(2065,plain,
% 2.22/1.75 (~node4(s22)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1314, 113, 2038])).
% 2.22/1.75 tff(2066,plain,
% 2.22/1.75 (xuntil6(s22) | (~until5(s22))),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1321, 225, 2065])).
% 2.22/1.75 tff(2067,plain,
% 2.22/1.75 (xuntil6(s22)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2066, 2064])).
% 2.22/1.75 tff(2068,plain,
% 2.22/1.75 ($false),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[1756, 2067, 2037])).
% 2.22/1.75 tff(2069,plain,(always3(s27) | xuntil6(s27)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.75 tff(2070,plain,
% 2.22/1.75 (always3(s27)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2069, 1981])).
% 2.22/1.75 tff(2071,plain,
% 2.22/1.75 (succ(s27, s28) <=> succ(s27, s28)),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(2072,axiom,(succ(s27, s28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound28')).
% 2.22/1.75 tff(2073,plain,
% 2.22/1.75 (succ(s27, s28)),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[2072, 2071])).
% 2.22/1.75 tff(2074,plain,
% 2.22/1.75 (((~![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))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(2075,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(2076,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28)),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[2075, 2074])).
% 2.22/1.75 tff(2077,plain,
% 2.22/1.75 (trans(s27, s28)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2076, 2073, 21])).
% 2.22/1.75 tff(2078,plain,
% 2.22/1.75 (((~![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))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(2079,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s27, s28)) | (~always3(s27)) | always3(s28))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(2080,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s27, s28)) | (~always3(s27)) | always3(s28)),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[2079, 2078])).
% 2.22/1.75 tff(2081,plain,
% 2.22/1.75 ((~always3(s27)) | always3(s28)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2080, 38, 2077])).
% 2.22/1.75 tff(2082,plain,
% 2.22/1.75 (always3(s28)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2081, 2070])).
% 2.22/1.75 tff(2083,plain,
% 2.22/1.75 (((~![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)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(2084,plain,
% 2.22/1.75 (((~m_main_v_state(s28, c_busy)) | (~always3(s28))) <=> ((~always3(s28)) | (~m_main_v_state(s28, c_busy)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(2085,plain,
% 2.22/1.75 (((~![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))))),
% 2.22/1.75 inference(monotonicity,[status(thm)],[2084])).
% 2.22/1.75 tff(2086,plain,
% 2.22/1.75 (((~![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)))),
% 2.22/1.75 inference(transitivity,[status(thm)],[2085, 2083])).
% 2.22/1.75 tff(2087,plain,
% 2.22/1.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s28, c_busy)) | (~always3(s28)))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(2088,plain,
% 2.22/1.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s28)) | (~m_main_v_state(s28, c_busy))),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[2087, 2086])).
% 2.22/1.75 tff(2089,plain,
% 2.22/1.75 (~m_main_v_state(s28, c_busy)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2088, 145, 2082])).
% 2.22/1.75 tff(2090,assumption,(until5(s27)), introduced(assumption)).
% 2.22/1.75 tff(2091,plain,
% 2.22/1.75 (xuntil6(s27) | node4(s27)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2008, 225, 2090])).
% 2.22/1.75 tff(2092,plain,
% 2.22/1.75 (node4(s27)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2091, 1981])).
% 2.22/1.75 tff(2093,plain,
% 2.22/1.75 (((~![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)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(2094,plain,
% 2.22/1.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s27) | (~node4(s27)))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(2095,plain,
% 2.22/1.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s27) | (~node4(s27))),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[2094, 2093])).
% 2.22/1.75 tff(2096,plain,
% 2.22/1.75 (m_main_v_request(s27)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2095, 63, 2092])).
% 2.22/1.75 tff(2097,plain,
% 2.22/1.75 (((~![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))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(2098,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s27, s28)) | node2(s27, s28))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(2099,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s27, s28)) | node2(s27, s28)),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[2098, 2097])).
% 2.22/1.75 tff(2100,plain,
% 2.22/1.75 (node2(s27, s28)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2099, 7, 2077])).
% 2.22/1.75 tff(2101,plain,
% 2.22/1.75 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(2102,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s27, c_ready)) | (~node2(s27, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27)))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(2103,plain,
% 2.22/1.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s27, c_ready)) | (~node2(s27, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27))),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[2102, 2101])).
% 2.22/1.75 tff(2104,plain,
% 2.22/1.75 ((~m_main_v_state(s27, c_ready)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27))),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2103, 166, 2100])).
% 2.22/1.75 tff(2105,plain,
% 2.22/1.75 (~m_main_v_state(s27, c_ready)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2104, 2096, 2089])).
% 2.22/1.75 tff(2106,plain,
% 2.22/1.75 (((~![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))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(2107,plain,
% 2.22/1.75 ((~![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))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(2108,plain,
% 2.22/1.75 ((~![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)),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[2107, 2106])).
% 2.22/1.75 tff(2109,plain,
% 2.22/1.75 (m_main_v_state(s27, c_busy)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2108, 188, 2105])).
% 2.22/1.75 tff(2110,plain,
% 2.22/1.75 (((~![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)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(2111,plain,
% 2.22/1.75 (((~m_main_v_state(s27, c_busy)) | (~always3(s27))) <=> ((~always3(s27)) | (~m_main_v_state(s27, c_busy)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(2112,plain,
% 2.22/1.75 (((~![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))))),
% 2.22/1.75 inference(monotonicity,[status(thm)],[2111])).
% 2.22/1.75 tff(2113,plain,
% 2.22/1.75 (((~![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)))),
% 2.22/1.75 inference(transitivity,[status(thm)],[2112, 2110])).
% 2.22/1.75 tff(2114,plain,
% 2.22/1.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s27, c_busy)) | (~always3(s27)))),
% 2.22/1.75 inference(quant_inst,[status(thm)],[])).
% 2.22/1.75 tff(2115,plain,
% 2.22/1.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s27)) | (~m_main_v_state(s27, c_busy))),
% 2.22/1.75 inference(modus_ponens,[status(thm)],[2114, 2113])).
% 2.22/1.75 tff(2116,plain,
% 2.22/1.75 ($false),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2115, 145, 2070, 2109])).
% 2.22/1.75 tff(2117,plain,(xuntil6(s27) | (~until5(s27))), inference(lemma,lemma(discharge,[]))).
% 2.22/1.75 tff(2118,plain,
% 2.22/1.75 (~until5(s27)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2117, 1981])).
% 2.22/1.75 tff(2119,plain,
% 2.22/1.75 (~xuntil6(s26)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2014, 2118])).
% 2.22/1.75 tff(2120,assumption,(until5(s26)), introduced(assumption)).
% 2.22/1.75 tff(2121,plain,
% 2.22/1.75 (xuntil6(s26) | node4(s26)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2021, 225, 2120])).
% 2.22/1.75 tff(2122,plain,
% 2.22/1.75 (node4(s26)),
% 2.22/1.75 inference(unit_resolution,[status(thm)],[2121, 2119])).
% 2.22/1.75 tff(2123,assumption,(~m_main_v_state(s27, c_busy)), introduced(assumption)).
% 2.22/1.75 tff(2124,assumption,(node4(s26)), introduced(assumption)).
% 2.22/1.75 tff(2125,plain,
% 2.22/1.75 (((~![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)))),
% 2.22/1.75 inference(rewrite,[status(thm)],[])).
% 2.22/1.75 tff(2126,plain,
% 2.22/1.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s26) | (~node4(s26)))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2127,plain,
% 2.22/1.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s26) | (~node4(s26))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2126, 2125])).
% 2.22/1.76 tff(2128,plain,
% 2.22/1.76 (m_main_v_request(s26)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2127, 63, 2124])).
% 2.22/1.76 tff(2129,plain,
% 2.22/1.76 (((~![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))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2130,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s26, s27)) | node2(s26, s27))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2131,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s26, s27)) | node2(s26, s27)),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2130, 2129])).
% 2.22/1.76 tff(2132,plain,
% 2.22/1.76 (node2(s26, s27)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2131, 7, 1989])).
% 2.22/1.76 tff(2133,plain,
% 2.22/1.76 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2134,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s26, c_ready)) | (~node2(s26, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26)))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2135,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s26, c_ready)) | (~node2(s26, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2134, 2133])).
% 2.22/1.76 tff(2136,plain,
% 2.22/1.76 ((~m_main_v_state(s26, c_ready)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26))),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2135, 166, 2132])).
% 2.22/1.76 tff(2137,plain,
% 2.22/1.76 (~m_main_v_state(s26, c_ready)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2136, 2128, 2123])).
% 2.22/1.76 tff(2138,plain,
% 2.22/1.76 (always3(s26)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[1997, 113, 2124])).
% 2.22/1.76 tff(2139,plain,
% 2.22/1.76 (~m_main_v_state(s26, c_busy)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[1880, 145, 2138])).
% 2.22/1.76 tff(2140,plain,
% 2.22/1.76 (((~![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))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2141,plain,
% 2.22/1.76 ((~![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))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2142,plain,
% 2.22/1.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s26, c_busy) | m_main_v_state(s26, c_ready)),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2141, 2140])).
% 2.22/1.76 tff(2143,plain,
% 2.22/1.76 ($false),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2142, 188, 2139, 2137])).
% 2.22/1.76 tff(2144,plain,((~node4(s26)) | m_main_v_state(s27, c_busy)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.76 tff(2145,plain,
% 2.22/1.76 (m_main_v_state(s27, c_busy)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2144, 2122])).
% 2.22/1.76 tff(2146,plain,
% 2.22/1.76 ($false),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2115, 145, 2070, 2145])).
% 2.22/1.76 tff(2147,plain,(xuntil6(s27) | (~until5(s26))), inference(lemma,lemma(discharge,[]))).
% 2.22/1.76 tff(2148,plain,
% 2.22/1.76 (xuntil6(s27)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2147, 1980])).
% 2.22/1.76 tff(2149,plain,
% 2.22/1.76 (((~![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))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2150,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s27, s28)) | (~xuntil6(s27)) | until5(s28))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2151,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s27, s28)) | (~xuntil6(s27)) | until5(s28)),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2150, 2149])).
% 2.22/1.76 tff(2152,plain,
% 2.22/1.76 ((~xuntil6(s27)) | until5(s28)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2151, 2073, 243])).
% 2.22/1.76 tff(2153,plain,
% 2.22/1.76 (until5(s28)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2152, 2148])).
% 2.22/1.76 tff(2154,assumption,(node4(s28)), introduced(assumption)).
% 2.22/1.76 tff(2155,plain,
% 2.22/1.76 (((~![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)))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2156,plain,
% 2.22/1.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s28) | (~node4(s28)))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2157,plain,
% 2.22/1.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s28) | (~node4(s28))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2156, 2155])).
% 2.22/1.76 tff(2158,plain,
% 2.22/1.76 (m_main_v_request(s28)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2157, 63, 2154])).
% 2.22/1.76 tff(2159,plain,
% 2.22/1.76 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s28) | (~node4(s28)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s28) | (~node4(s28)))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2160,plain,
% 2.22/1.76 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s28) | (~node4(s28)))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2161,plain,
% 2.22/1.76 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s28) | (~node4(s28))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2160, 2159])).
% 2.22/1.76 tff(2162,plain,
% 2.22/1.76 (always3(s28)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2161, 113, 2154])).
% 2.22/1.76 tff(2163,plain,
% 2.22/1.76 (succ(s28, s29) <=> succ(s28, s29)),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2164,axiom,(succ(s28, s29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound29')).
% 2.22/1.76 tff(2165,plain,
% 2.22/1.76 (succ(s28, s29)),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2164, 2163])).
% 2.22/1.76 tff(2166,plain,
% 2.22/1.76 (((~![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))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2167,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2168,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29)),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2167, 2166])).
% 2.22/1.76 tff(2169,plain,
% 2.22/1.76 (trans(s28, s29)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2168, 2165, 21])).
% 2.22/1.76 tff(2170,plain,
% 2.22/1.76 (((~![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))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2171,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s28, s29)) | (~always3(s28)) | always3(s29))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2172,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s28, s29)) | (~always3(s28)) | always3(s29)),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2171, 2170])).
% 2.22/1.76 tff(2173,plain,
% 2.22/1.76 ((~always3(s28)) | always3(s29)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2172, 38, 2169])).
% 2.22/1.76 tff(2174,plain,
% 2.22/1.76 (always3(s29)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2173, 2162])).
% 2.22/1.76 tff(2175,plain,
% 2.22/1.76 (((~![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)))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2176,plain,
% 2.22/1.76 (((~m_main_v_state(s29, c_busy)) | (~always3(s29))) <=> ((~always3(s29)) | (~m_main_v_state(s29, c_busy)))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2177,plain,
% 2.22/1.76 (((~![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))))),
% 2.22/1.76 inference(monotonicity,[status(thm)],[2176])).
% 2.22/1.76 tff(2178,plain,
% 2.22/1.76 (((~![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)))),
% 2.22/1.76 inference(transitivity,[status(thm)],[2177, 2175])).
% 2.22/1.76 tff(2179,plain,
% 2.22/1.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s29, c_busy)) | (~always3(s29)))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2180,plain,
% 2.22/1.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s29)) | (~m_main_v_state(s29, c_busy))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2179, 2178])).
% 2.22/1.76 tff(2181,plain,
% 2.22/1.76 (~m_main_v_state(s29, c_busy)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2180, 145, 2174])).
% 2.22/1.76 tff(2182,plain,
% 2.22/1.76 (((~![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))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2183,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s28, s29)) | node2(s28, s29))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2184,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s28, s29)) | node2(s28, s29)),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2183, 2182])).
% 2.22/1.76 tff(2185,plain,
% 2.22/1.76 (node2(s28, s29)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2184, 7, 2169])).
% 2.22/1.76 tff(2186,plain,
% 2.22/1.76 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2187,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s28, c_ready)) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28)))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2188,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s28, c_ready)) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2187, 2186])).
% 2.22/1.76 tff(2189,plain,
% 2.22/1.76 ((~m_main_v_state(s28, c_ready)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28))),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2188, 166, 2185])).
% 2.22/1.76 tff(2190,plain,
% 2.22/1.76 (~m_main_v_state(s28, c_ready)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2189, 2181, 2158])).
% 2.22/1.76 tff(2191,plain,
% 2.22/1.76 (~m_main_v_state(s28, c_busy)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2088, 145, 2162])).
% 2.22/1.76 tff(2192,plain,
% 2.22/1.76 (((~![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))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2193,plain,
% 2.22/1.76 ((~![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))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2194,plain,
% 2.22/1.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s28, c_busy) | m_main_v_state(s28, c_ready)),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2193, 2192])).
% 2.22/1.76 tff(2195,plain,
% 2.22/1.76 ($false),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2194, 188, 2191, 2190])).
% 2.22/1.76 tff(2196,plain,(~node4(s28)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.76 tff(2197,plain,
% 2.22/1.76 (((~![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)))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2198,plain,
% 2.22/1.76 ((node4(s28) | (~until5(s28)) | xuntil6(s28)) <=> (xuntil6(s28) | node4(s28) | (~until5(s28)))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2199,plain,
% 2.22/1.76 (((~![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))))),
% 2.22/1.76 inference(monotonicity,[status(thm)],[2198])).
% 2.22/1.76 tff(2200,plain,
% 2.22/1.76 (((~![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)))),
% 2.22/1.76 inference(transitivity,[status(thm)],[2199, 2197])).
% 2.22/1.76 tff(2201,plain,
% 2.22/1.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s28) | (~until5(s28)) | xuntil6(s28))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2202,plain,
% 2.22/1.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s28) | node4(s28) | (~until5(s28))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2201, 2200])).
% 2.22/1.76 tff(2203,plain,
% 2.22/1.76 (xuntil6(s28) | (~until5(s28))),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2202, 225, 2196])).
% 2.22/1.76 tff(2204,plain,
% 2.22/1.76 (xuntil6(s28)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2203, 2153])).
% 2.22/1.76 tff(2205,plain,
% 2.22/1.76 (((~![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))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2206,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s28, s29)) | (~xuntil6(s28)) | until5(s29))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2207,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s28, s29)) | (~xuntil6(s28)) | until5(s29)),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2206, 2205])).
% 2.22/1.76 tff(2208,plain,
% 2.22/1.76 ((~xuntil6(s28)) | until5(s29)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2207, 2165, 243])).
% 2.22/1.76 tff(2209,plain,
% 2.22/1.76 (until5(s29)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2208, 2204])).
% 2.22/1.76 tff(2210,assumption,(node4(s29)), introduced(assumption)).
% 2.22/1.76 tff(2211,plain,
% 2.22/1.76 (((~![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)))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2212,plain,
% 2.22/1.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s29) | (~node4(s29)))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2213,plain,
% 2.22/1.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s29) | (~node4(s29))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2212, 2211])).
% 2.22/1.76 tff(2214,plain,
% 2.22/1.76 (m_main_v_request(s29)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2213, 63, 2210])).
% 2.22/1.76 tff(2215,plain,
% 2.22/1.76 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s29) | (~node4(s29)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s29) | (~node4(s29)))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2216,plain,
% 2.22/1.76 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s29) | (~node4(s29)))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2217,plain,
% 2.22/1.76 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s29) | (~node4(s29))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2216, 2215])).
% 2.22/1.76 tff(2218,plain,
% 2.22/1.76 (always3(s29)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2217, 113, 2210])).
% 2.22/1.76 tff(2219,plain,
% 2.22/1.76 (succ(s29, s30) <=> succ(s29, s30)),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2220,axiom,(succ(s29, s30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound30')).
% 2.22/1.76 tff(2221,plain,
% 2.22/1.76 (succ(s29, s30)),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2220, 2219])).
% 2.22/1.76 tff(2222,plain,
% 2.22/1.76 (((~![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))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2223,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2224,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30)),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2223, 2222])).
% 2.22/1.76 tff(2225,plain,
% 2.22/1.76 (trans(s29, s30)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2224, 2221, 21])).
% 2.22/1.76 tff(2226,plain,
% 2.22/1.76 (((~![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))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2227,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s29, s30)) | (~always3(s29)) | always3(s30))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2228,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s29, s30)) | (~always3(s29)) | always3(s30)),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2227, 2226])).
% 2.22/1.76 tff(2229,plain,
% 2.22/1.76 ((~always3(s29)) | always3(s30)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2228, 38, 2225])).
% 2.22/1.76 tff(2230,plain,
% 2.22/1.76 (always3(s30)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2229, 2218])).
% 2.22/1.76 tff(2231,plain,
% 2.22/1.76 (((~![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)))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2232,plain,
% 2.22/1.76 (((~m_main_v_state(s30, c_busy)) | (~always3(s30))) <=> ((~always3(s30)) | (~m_main_v_state(s30, c_busy)))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2233,plain,
% 2.22/1.76 (((~![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))))),
% 2.22/1.76 inference(monotonicity,[status(thm)],[2232])).
% 2.22/1.76 tff(2234,plain,
% 2.22/1.76 (((~![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)))),
% 2.22/1.76 inference(transitivity,[status(thm)],[2233, 2231])).
% 2.22/1.76 tff(2235,plain,
% 2.22/1.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s30, c_busy)) | (~always3(s30)))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2236,plain,
% 2.22/1.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s30)) | (~m_main_v_state(s30, c_busy))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2235, 2234])).
% 2.22/1.76 tff(2237,plain,
% 2.22/1.76 (~m_main_v_state(s30, c_busy)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2236, 145, 2230])).
% 2.22/1.76 tff(2238,plain,
% 2.22/1.76 (~m_main_v_state(s29, c_busy)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2180, 145, 2218])).
% 2.22/1.76 tff(2239,assumption,(~m_main_v_state(s29, c_busy)), introduced(assumption)).
% 2.22/1.76 tff(2240,assumption,(~m_main_v_state(s29, c_ready)), introduced(assumption)).
% 2.22/1.76 tff(2241,plain,
% 2.22/1.76 (^[Y: $i, X: $i] : refl((node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy)) <=> (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy)))),
% 2.22/1.76 inference(bind,[status(th)],[])).
% 2.22/1.76 tff(2242,plain,
% 2.22/1.76 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy)) <=> ![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 2.22/1.76 inference(quant_intro,[status(thm)],[2241])).
% 2.22/1.76 tff(2243,plain,
% 2.22/1.76 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy)) <=> ![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2244,plain,
% 2.22/1.76 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) <=> (m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy))), (((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) <=> ((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)))), rewrite(((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) <=> (node1(X) | m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy))), (((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) <=> (node1(X) | m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)))), ((((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) | (~node2(X, Y))) <=> ((node1(X) | m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | (~node2(X, Y))))), rewrite(((node1(X) | m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | (~node2(X, Y))) <=> (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))), ((((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) | (~node2(X, Y))) <=> (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))))),
% 2.22/1.76 inference(bind,[status(th)],[])).
% 2.22/1.76 tff(2245,plain,
% 2.22/1.76 (![Y: $i, X: $i] : (((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) | (~node2(X, Y))) <=> ![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 2.22/1.76 inference(quant_intro,[status(thm)],[2244])).
% 2.22/1.76 tff(2246,axiom,(![Y: $i, X: $i] : (((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) | (~node2(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_7')).
% 2.22/1.76 tff(2247,plain,
% 2.22/1.76 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 2.22/1.76 tff(2248,plain,
% 2.22/1.76 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2247, 2243])).
% 2.22/1.76 tff(2249,plain,(
% 2.22/1.76 ![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 2.22/1.76 inference(skolemize,[status(sab)],[2248])).
% 2.22/1.76 tff(2250,plain,
% 2.22/1.76 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2249, 2242])).
% 2.22/1.76 tff(2251,plain,
% 2.22/1.76 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s28, s29)) | m_main_v_state(s29, c_busy) | node1(s28) | m_main_v_state(s29, c_ready))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | node1(s28) | m_main_v_state(s29, c_ready))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2252,plain,
% 2.22/1.76 ((node1(s28) | m_main_v_state(s29, c_ready) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy)) <=> ((~node2(s28, s29)) | m_main_v_state(s29, c_busy) | node1(s28) | m_main_v_state(s29, c_ready))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2253,plain,
% 2.22/1.76 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s28) | m_main_v_state(s29, c_ready) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s28, s29)) | m_main_v_state(s29, c_busy) | node1(s28) | m_main_v_state(s29, c_ready)))),
% 2.22/1.76 inference(monotonicity,[status(thm)],[2252])).
% 2.22/1.76 tff(2254,plain,
% 2.22/1.76 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s28) | m_main_v_state(s29, c_ready) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | node1(s28) | m_main_v_state(s29, c_ready))),
% 2.22/1.76 inference(transitivity,[status(thm)],[2253, 2251])).
% 2.22/1.76 tff(2255,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s28) | m_main_v_state(s29, c_ready) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2256,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | node1(s28) | m_main_v_state(s29, c_ready)),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2255, 2254])).
% 2.22/1.76 tff(2257,plain,
% 2.22/1.76 (m_main_v_state(s29, c_busy) | node1(s28) | m_main_v_state(s29, c_ready)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2256, 2250, 2185])).
% 2.22/1.76 tff(2258,plain,
% 2.22/1.76 (node1(s28)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2257, 2239, 2240])).
% 2.22/1.76 tff(2259,plain,
% 2.22/1.76 (^[X: $i] : refl((m_main_v_state(X, c_ready) | (~node1(X))) <=> (m_main_v_state(X, c_ready) | (~node1(X))))),
% 2.22/1.76 inference(bind,[status(th)],[])).
% 2.22/1.76 tff(2260,plain,
% 2.22/1.76 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X))) <=> ![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 2.22/1.76 inference(quant_intro,[status(thm)],[2259])).
% 2.22/1.76 tff(2261,plain,
% 2.22/1.76 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X))) <=> ![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2262,axiom,(![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_4')).
% 2.22/1.76 tff(2263,plain,
% 2.22/1.76 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2262, 2261])).
% 2.22/1.76 tff(2264,plain,(
% 2.22/1.76 ![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 2.22/1.76 inference(skolemize,[status(sab)],[2263])).
% 2.22/1.76 tff(2265,plain,
% 2.22/1.76 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2264, 2260])).
% 2.22/1.76 tff(2266,plain,
% 2.22/1.76 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s28, c_ready) | (~node1(s28)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s28, c_ready) | (~node1(s28)))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2267,plain,
% 2.22/1.76 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s28, c_ready) | (~node1(s28)))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2268,plain,
% 2.22/1.76 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s28, c_ready) | (~node1(s28))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2267, 2266])).
% 2.22/1.76 tff(2269,plain,
% 2.22/1.76 (m_main_v_state(s28, c_ready)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2268, 2265, 2258])).
% 2.22/1.76 tff(2270,plain,
% 2.22/1.76 (^[X: $i] : refl((m_main_v_request(X) | (~node1(X))) <=> (m_main_v_request(X) | (~node1(X))))),
% 2.22/1.76 inference(bind,[status(th)],[])).
% 2.22/1.76 tff(2271,plain,
% 2.22/1.76 (![X: $i] : (m_main_v_request(X) | (~node1(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 2.22/1.76 inference(quant_intro,[status(thm)],[2270])).
% 2.22/1.76 tff(2272,plain,
% 2.22/1.76 (![X: $i] : (m_main_v_request(X) | (~node1(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2273,axiom,(![X: $i] : (m_main_v_request(X) | (~node1(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_5')).
% 2.22/1.76 tff(2274,plain,
% 2.22/1.76 (![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2273, 2272])).
% 2.22/1.76 tff(2275,plain,(
% 2.22/1.76 ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 2.22/1.76 inference(skolemize,[status(sab)],[2274])).
% 2.22/1.76 tff(2276,plain,
% 2.22/1.76 (![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2275, 2271])).
% 2.22/1.76 tff(2277,plain,
% 2.22/1.76 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s28) | (~node1(s28)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s28) | (~node1(s28)))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2278,plain,
% 2.22/1.76 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s28) | (~node1(s28)))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2279,plain,
% 2.22/1.76 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s28) | (~node1(s28))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2278, 2277])).
% 2.22/1.76 tff(2280,plain,
% 2.22/1.76 (m_main_v_request(s28)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2279, 2276, 2258])).
% 2.22/1.76 tff(2281,plain,
% 2.22/1.76 ($false),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2189, 2280, 2269, 2239])).
% 2.22/1.76 tff(2282,plain,(m_main_v_state(s29, c_busy) | m_main_v_state(s29, c_ready)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.76 tff(2283,plain,
% 2.22/1.76 (m_main_v_state(s29, c_ready)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2282, 2238])).
% 2.22/1.76 tff(2284,plain,
% 2.22/1.76 (((~![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))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2285,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s29, s30)) | node2(s29, s30))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2286,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s29, s30)) | node2(s29, s30)),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2285, 2284])).
% 2.22/1.76 tff(2287,plain,
% 2.22/1.76 (node2(s29, s30)),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2286, 7, 2225])).
% 2.22/1.76 tff(2288,plain,
% 2.22/1.76 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2289,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s29, c_ready)) | (~node2(s29, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29)))),
% 2.22/1.76 inference(quant_inst,[status(thm)],[])).
% 2.22/1.76 tff(2290,plain,
% 2.22/1.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s29, c_ready)) | (~node2(s29, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29))),
% 2.22/1.76 inference(modus_ponens,[status(thm)],[2289, 2288])).
% 2.22/1.76 tff(2291,plain,
% 2.22/1.76 ((~m_main_v_state(s29, c_ready)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29))),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2290, 166, 2287])).
% 2.22/1.76 tff(2292,plain,
% 2.22/1.76 ($false),
% 2.22/1.76 inference(unit_resolution,[status(thm)],[2291, 2283, 2237, 2214])).
% 2.22/1.76 tff(2293,plain,(~node4(s29)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.76 tff(2294,plain,
% 2.22/1.76 (((~![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)))),
% 2.22/1.76 inference(rewrite,[status(thm)],[])).
% 2.22/1.76 tff(2295,plain,
% 2.22/1.76 ((node4(s29) | (~until5(s29)) | xuntil6(s29)) <=> (xuntil6(s29) | node4(s29) | (~until5(s29)))),
% 2.22/1.77 inference(rewrite,[status(thm)],[])).
% 2.22/1.77 tff(2296,plain,
% 2.22/1.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s29) | (~until5(s29)) | xuntil6(s29))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s29) | node4(s29) | (~until5(s29))))),
% 2.22/1.77 inference(monotonicity,[status(thm)],[2295])).
% 2.22/1.77 tff(2297,plain,
% 2.22/1.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s29) | (~until5(s29)) | xuntil6(s29))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s29) | node4(s29) | (~until5(s29)))),
% 2.22/1.77 inference(transitivity,[status(thm)],[2296, 2294])).
% 2.22/1.77 tff(2298,plain,
% 2.22/1.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s29) | (~until5(s29)) | xuntil6(s29))),
% 2.22/1.77 inference(quant_inst,[status(thm)],[])).
% 2.22/1.77 tff(2299,plain,
% 2.22/1.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s29) | node4(s29) | (~until5(s29))),
% 2.22/1.77 inference(modus_ponens,[status(thm)],[2298, 2297])).
% 2.22/1.77 tff(2300,plain,
% 2.22/1.77 (xuntil6(s29) | (~until5(s29))),
% 2.22/1.77 inference(unit_resolution,[status(thm)],[2299, 225, 2293])).
% 2.22/1.77 tff(2301,plain,
% 2.22/1.77 (xuntil6(s29)),
% 2.22/1.77 inference(unit_resolution,[status(thm)],[2300, 2209])).
% 2.22/1.77 tff(2302,plain,
% 2.22/1.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30))),
% 2.22/1.77 inference(rewrite,[status(thm)],[])).
% 2.22/1.77 tff(2303,plain,
% 2.22/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30))),
% 2.22/1.77 inference(quant_inst,[status(thm)],[])).
% 2.22/1.77 tff(2304,plain,
% 2.22/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30)),
% 2.22/1.77 inference(modus_ponens,[status(thm)],[2303, 2302])).
% 2.22/1.77 tff(2305,plain,
% 2.22/1.77 ((~xuntil6(s29)) | until5(s30)),
% 2.22/1.77 inference(unit_resolution,[status(thm)],[2304, 2221, 243])).
% 2.22/1.77 tff(2306,plain,
% 2.22/1.77 (until5(s30)),
% 2.22/1.77 inference(unit_resolution,[status(thm)],[2305, 2301])).
% 2.22/1.77 tff(2307,assumption,(node4(s30)), introduced(assumption)).
% 2.22/1.77 tff(2308,plain,
% 2.22/1.77 (((~![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)))),
% 2.22/1.77 inference(rewrite,[status(thm)],[])).
% 2.22/1.77 tff(2309,plain,
% 2.22/1.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s30) | (~node4(s30)))),
% 2.22/1.77 inference(quant_inst,[status(thm)],[])).
% 2.22/1.77 tff(2310,plain,
% 2.22/1.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s30) | (~node4(s30))),
% 2.22/1.77 inference(modus_ponens,[status(thm)],[2309, 2308])).
% 2.22/1.77 tff(2311,plain,
% 2.22/1.77 (m_main_v_request(s30)),
% 2.22/1.77 inference(unit_resolution,[status(thm)],[2310, 63, 2307])).
% 2.22/1.77 tff(2312,plain,
% 2.22/1.77 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s30) | (~node4(s30)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s30) | (~node4(s30)))),
% 2.22/1.77 inference(rewrite,[status(thm)],[])).
% 2.22/1.77 tff(2313,plain,
% 2.22/1.77 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s30) | (~node4(s30)))),
% 2.22/1.77 inference(quant_inst,[status(thm)],[])).
% 2.22/1.77 tff(2314,plain,
% 2.22/1.77 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s30) | (~node4(s30))),
% 2.22/1.77 inference(modus_ponens,[status(thm)],[2313, 2312])).
% 2.22/1.77 tff(2315,plain,
% 2.22/1.77 (always3(s30)),
% 2.22/1.77 inference(unit_resolution,[status(thm)],[2314, 113, 2307])).
% 2.22/1.77 tff(2316,plain,
% 2.22/1.77 (succ(s30, s31) <=> succ(s30, s31)),
% 2.22/1.77 inference(rewrite,[status(thm)],[])).
% 2.22/1.77 tff(2317,axiom,(succ(s30, s31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound31')).
% 2.22/1.77 tff(2318,plain,
% 2.22/1.77 (succ(s30, s31)),
% 2.22/1.77 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 2.22/1.77 tff(2319,plain,
% 2.22/1.77 (((~![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))),
% 2.22/1.77 inference(rewrite,[status(thm)],[])).
% 2.22/1.77 tff(2320,plain,
% 2.22/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))),
% 2.22/1.77 inference(quant_inst,[status(thm)],[])).
% 2.22/1.77 tff(2321,plain,
% 2.22/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31)),
% 2.22/1.77 inference(modus_ponens,[status(thm)],[2320, 2319])).
% 2.22/1.77 tff(2322,plain,
% 2.22/1.77 (trans(s30, s31)),
% 2.22/1.77 inference(unit_resolution,[status(thm)],[2321, 2318, 21])).
% 2.22/1.77 tff(2323,plain,
% 2.22/1.77 (((~![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))),
% 2.22/1.77 inference(rewrite,[status(thm)],[])).
% 2.22/1.77 tff(2324,plain,
% 2.22/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s30, s31)) | (~always3(s30)) | always3(s31))),
% 2.22/1.77 inference(quant_inst,[status(thm)],[])).
% 2.22/1.77 tff(2325,plain,
% 2.22/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s30, s31)) | (~always3(s30)) | always3(s31)),
% 2.22/1.77 inference(modus_ponens,[status(thm)],[2324, 2323])).
% 2.22/1.77 tff(2326,plain,
% 2.22/1.77 ((~always3(s30)) | always3(s31)),
% 2.22/1.77 inference(unit_resolution,[status(thm)],[2325, 38, 2322])).
% 2.22/1.77 tff(2327,plain,
% 2.22/1.77 (always3(s31)),
% 2.22/1.77 inference(unit_resolution,[status(thm)],[2326, 2315])).
% 2.22/1.77 tff(2328,plain,
% 2.22/1.77 (((~![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)))),
% 2.22/1.77 inference(rewrite,[status(thm)],[])).
% 2.22/1.77 tff(2329,plain,
% 2.22/1.77 (((~m_main_v_state(s31, c_busy)) | (~always3(s31))) <=> ((~always3(s31)) | (~m_main_v_state(s31, c_busy)))),
% 2.22/1.77 inference(rewrite,[status(thm)],[])).
% 2.22/1.77 tff(2330,plain,
% 2.22/1.77 (((~![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))))),
% 2.22/1.77 inference(monotonicity,[status(thm)],[2329])).
% 2.22/1.77 tff(2331,plain,
% 2.22/1.77 (((~![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)))),
% 2.22/1.77 inference(transitivity,[status(thm)],[2330, 2328])).
% 2.22/1.77 tff(2332,plain,
% 2.22/1.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s31, c_busy)) | (~always3(s31)))),
% 2.22/1.77 inference(quant_inst,[status(thm)],[])).
% 2.22/1.77 tff(2333,plain,
% 2.22/1.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s31)) | (~m_main_v_state(s31, c_busy))),
% 2.22/1.77 inference(modus_ponens,[status(thm)],[2332, 2331])).
% 2.22/1.77 tff(2334,plain,
% 2.22/1.77 (~m_main_v_state(s31, c_busy)),
% 2.22/1.77 inference(unit_resolution,[status(thm)],[2333, 145, 2327])).
% 2.22/1.77 tff(2335,plain,
% 2.22/1.77 (((~![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))),
% 2.22/1.77 inference(rewrite,[status(thm)],[])).
% 2.22/1.77 tff(2336,plain,
% 2.22/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s30, s31)) | node2(s30, s31))),
% 2.22/1.77 inference(quant_inst,[status(thm)],[])).
% 2.22/1.77 tff(2337,plain,
% 2.22/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s30, s31)) | node2(s30, s31)),
% 2.22/1.77 inference(modus_ponens,[status(thm)],[2336, 2335])).
% 2.22/1.77 tff(2338,plain,
% 2.22/1.77 (node2(s30, s31)),
% 2.22/1.77 inference(unit_resolution,[status(thm)],[2337, 7, 2322])).
% 2.22/1.77 tff(2339,plain,
% 2.22/1.77 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.22/1.77 inference(rewrite,[status(thm)],[])).
% 2.22/1.77 tff(2340,plain,
% 2.22/1.77 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s30, c_ready)) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30)))),
% 2.22/1.77 inference(quant_inst,[status(thm)],[])).
% 2.22/1.77 tff(2341,plain,
% 2.22/1.77 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s30, c_ready)) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30))),
% 2.22/1.77 inference(modus_ponens,[status(thm)],[2340, 2339])).
% 2.22/1.77 tff(2342,plain,
% 2.22/1.77 ((~m_main_v_state(s30, c_ready)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30))),
% 2.22/1.77 inference(unit_resolution,[status(thm)],[2341, 166, 2338])).
% 2.22/1.77 tff(2343,plain,
% 2.22/1.77 (~m_main_v_state(s30, c_ready)),
% 2.22/1.77 inference(unit_resolution,[status(thm)],[2342, 2334, 2311])).
% 2.22/1.77 tff(2344,plain,
% 2.22/1.77 (~m_main_v_state(s30, c_busy)),
% 2.22/1.77 inference(unit_resolution,[status(thm)],[2236, 145, 2315])).
% 2.22/1.77 tff(2345,plain,
% 2.22/1.77 (((~![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))),
% 2.22/1.77 inference(rewrite,[status(thm)],[])).
% 2.22/1.77 tff(2346,plain,
% 2.22/1.77 ((~![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))),
% 2.22/1.77 inference(quant_inst,[status(thm)],[])).
% 2.22/1.77 tff(2347,plain,
% 2.22/1.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s30, c_busy) | m_main_v_state(s30, c_ready)),
% 2.22/1.77 inference(modus_ponens,[status(thm)],[2346, 2345])).
% 2.22/1.77 tff(2348,plain,
% 2.22/1.77 ($false),
% 2.22/1.77 inference(unit_resolution,[status(thm)],[2347, 188, 2344, 2343])).
% 2.22/1.77 tff(2349,plain,(~node4(s30)), inference(lemma,lemma(discharge,[]))).
% 2.22/1.77 tff(2350,plain,
% 2.22/1.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s30) | node4(s30) | (~until5(s30)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s30) | node4(s30) | (~until5(s30)))),
% 2.22/1.77 inference(rewrite,[status(thm)],[])).
% 2.22/1.77 tff(2351,plain,
% 2.22/1.77 ((node4(s30) | (~until5(s30)) | xuntil6(s30)) <=> (xuntil6(s30) | node4(s30) | (~until5(s30)))),
% 2.22/1.77 inference(rewrite,[status(thm)],[])).
% 2.22/1.77 tff(2352,plain,
% 2.22/1.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s30) | (~until5(s30)) | xuntil6(s30))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s30) | node4(s30) | (~until5(s30))))),
% 2.22/1.77 inference(monotonicity,[status(thm)],[2351])).
% 2.22/1.77 tff(2353,plain,
% 2.22/1.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s30) | (~until5(s30)) | xuntil6(s30))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s30) | node4(s30) | (~until5(s30)))),
% 2.22/1.77 inference(transitivity,[status(thm)],[2352, 2350])).
% 2.22/1.77 tff(2354,plain,
% 2.22/1.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s30) | (~until5(s30)) | xuntil6(s30))),
% 2.22/1.77 inference(quant_inst,[status(thm)],[])).
% 2.22/1.77 tff(2355,plain,
% 2.22/1.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s30) | node4(s30) | (~until5(s30))),
% 2.22/1.77 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 2.22/1.77 tff(2356,plain,
% 2.22/1.77 (xuntil6(s30) | (~until5(s30))),
% 2.22/1.77 inference(unit_resolution,[status(thm)],[2355, 225, 2349])).
% 2.22/1.77 tff(2357,plain,
% 2.22/1.77 (xuntil6(s30)),
% 2.22/1.77 inference(unit_resolution,[status(thm)],[2356, 2306])).
% 2.22/1.77 tff(2358,plain,
% 2.22/1.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31))),
% 2.22/1.77 inference(rewrite,[status(thm)],[])).
% 2.22/1.77 tff(2359,plain,
% 2.22/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31))),
% 2.22/1.77 inference(quant_inst,[status(thm)],[])).
% 2.22/1.77 tff(2360,plain,
% 2.22/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2359, 2358])).
% 2.30/1.77 tff(2361,plain,
% 2.30/1.77 ((~xuntil6(s30)) | until5(s31)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2360, 2318, 243])).
% 2.30/1.77 tff(2362,plain,
% 2.30/1.77 (until5(s31)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2361, 2357])).
% 2.30/1.77 tff(2363,assumption,(~xuntil6(s38)), introduced(assumption)).
% 2.30/1.77 tff(2364,assumption,(~always3(s38)), introduced(assumption)).
% 2.30/1.77 tff(2365,plain,
% 2.30/1.77 (succ(s37, s38) <=> succ(s37, s38)),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2366,axiom,(succ(s37, s38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound38')).
% 2.30/1.77 tff(2367,plain,
% 2.30/1.77 (succ(s37, s38)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2366, 2365])).
% 2.30/1.77 tff(2368,plain,
% 2.30/1.77 (((~![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))),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2369,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))),
% 2.30/1.77 inference(quant_inst,[status(thm)],[])).
% 2.30/1.77 tff(2370,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2369, 2368])).
% 2.30/1.77 tff(2371,plain,
% 2.30/1.77 (trans(s37, s38)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2370, 2367, 21])).
% 2.30/1.77 tff(2372,plain,
% 2.30/1.77 (((~![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))),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2373,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s37, s38)) | (~always3(s37)) | always3(s38))),
% 2.30/1.77 inference(quant_inst,[status(thm)],[])).
% 2.30/1.77 tff(2374,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s37, s38)) | (~always3(s37)) | always3(s38)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2373, 2372])).
% 2.30/1.77 tff(2375,plain,
% 2.30/1.77 ((~always3(s37)) | always3(s38)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2374, 38, 2371])).
% 2.30/1.77 tff(2376,plain,
% 2.30/1.77 (~always3(s37)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2375, 2364])).
% 2.30/1.77 tff(2377,plain,
% 2.30/1.77 (succ(s36, s37) <=> succ(s36, s37)),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2378,axiom,(succ(s36, s37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound37')).
% 2.30/1.77 tff(2379,plain,
% 2.30/1.77 (succ(s36, s37)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2378, 2377])).
% 2.30/1.77 tff(2380,plain,
% 2.30/1.77 (((~![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))),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2381,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))),
% 2.30/1.77 inference(quant_inst,[status(thm)],[])).
% 2.30/1.77 tff(2382,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2381, 2380])).
% 2.30/1.77 tff(2383,plain,
% 2.30/1.77 (trans(s36, s37)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2382, 2379, 21])).
% 2.30/1.77 tff(2384,plain,
% 2.30/1.77 (((~![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))),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2385,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s36, s37)) | (~always3(s36)) | always3(s37))),
% 2.30/1.77 inference(quant_inst,[status(thm)],[])).
% 2.30/1.77 tff(2386,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s36, s37)) | (~always3(s36)) | always3(s37)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2385, 2384])).
% 2.30/1.77 tff(2387,plain,
% 2.30/1.77 ((~always3(s36)) | always3(s37)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2386, 38, 2383])).
% 2.30/1.77 tff(2388,plain,
% 2.30/1.77 (~always3(s36)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2387, 2376])).
% 2.30/1.77 tff(2389,plain,
% 2.30/1.77 (succ(s35, s36) <=> succ(s35, s36)),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2390,axiom,(succ(s35, s36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound36')).
% 2.30/1.77 tff(2391,plain,
% 2.30/1.77 (succ(s35, s36)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2390, 2389])).
% 2.30/1.77 tff(2392,plain,
% 2.30/1.77 (((~![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))),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2393,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))),
% 2.30/1.77 inference(quant_inst,[status(thm)],[])).
% 2.30/1.77 tff(2394,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2393, 2392])).
% 2.30/1.77 tff(2395,plain,
% 2.30/1.77 (trans(s35, s36)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2394, 2391, 21])).
% 2.30/1.77 tff(2396,plain,
% 2.30/1.77 (((~![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))),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2397,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s35, s36)) | (~always3(s35)) | always3(s36))),
% 2.30/1.77 inference(quant_inst,[status(thm)],[])).
% 2.30/1.77 tff(2398,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s35, s36)) | (~always3(s35)) | always3(s36)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2397, 2396])).
% 2.30/1.77 tff(2399,plain,
% 2.30/1.77 ((~always3(s35)) | always3(s36)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2398, 38, 2395])).
% 2.30/1.77 tff(2400,plain,
% 2.30/1.77 (~always3(s35)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2399, 2388])).
% 2.30/1.77 tff(2401,plain,
% 2.30/1.77 (succ(s34, s35) <=> succ(s34, s35)),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2402,axiom,(succ(s34, s35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound35')).
% 2.30/1.77 tff(2403,plain,
% 2.30/1.77 (succ(s34, s35)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2402, 2401])).
% 2.30/1.77 tff(2404,plain,
% 2.30/1.77 (((~![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))),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2405,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))),
% 2.30/1.77 inference(quant_inst,[status(thm)],[])).
% 2.30/1.77 tff(2406,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2405, 2404])).
% 2.30/1.77 tff(2407,plain,
% 2.30/1.77 (trans(s34, s35)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2406, 2403, 21])).
% 2.30/1.77 tff(2408,plain,
% 2.30/1.77 (((~![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))),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2409,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s34, s35)) | (~always3(s34)) | always3(s35))),
% 2.30/1.77 inference(quant_inst,[status(thm)],[])).
% 2.30/1.77 tff(2410,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s34, s35)) | (~always3(s34)) | always3(s35)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2409, 2408])).
% 2.30/1.77 tff(2411,plain,
% 2.30/1.77 ((~always3(s34)) | always3(s35)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2410, 38, 2407])).
% 2.30/1.77 tff(2412,plain,
% 2.30/1.77 (~always3(s34)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2411, 2400])).
% 2.30/1.77 tff(2413,plain,
% 2.30/1.77 (succ(s33, s34) <=> succ(s33, s34)),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2414,axiom,(succ(s33, s34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound34')).
% 2.30/1.77 tff(2415,plain,
% 2.30/1.77 (succ(s33, s34)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2414, 2413])).
% 2.30/1.77 tff(2416,plain,
% 2.30/1.77 (((~![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))),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2417,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))),
% 2.30/1.77 inference(quant_inst,[status(thm)],[])).
% 2.30/1.77 tff(2418,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2417, 2416])).
% 2.30/1.77 tff(2419,plain,
% 2.30/1.77 (trans(s33, s34)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2418, 2415, 21])).
% 2.30/1.77 tff(2420,plain,
% 2.30/1.77 (((~![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))),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2421,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s33, s34)) | (~always3(s33)) | always3(s34))),
% 2.30/1.77 inference(quant_inst,[status(thm)],[])).
% 2.30/1.77 tff(2422,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s33, s34)) | (~always3(s33)) | always3(s34)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2421, 2420])).
% 2.30/1.77 tff(2423,plain,
% 2.30/1.77 ((~always3(s33)) | always3(s34)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2422, 38, 2419])).
% 2.30/1.77 tff(2424,plain,
% 2.30/1.77 (~always3(s33)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2423, 2412])).
% 2.30/1.77 tff(2425,plain,
% 2.30/1.77 (succ(s32, s33) <=> succ(s32, s33)),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2426,axiom,(succ(s32, s33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound33')).
% 2.30/1.77 tff(2427,plain,
% 2.30/1.77 (succ(s32, s33)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2426, 2425])).
% 2.30/1.77 tff(2428,plain,
% 2.30/1.77 (((~![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))),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2429,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))),
% 2.30/1.77 inference(quant_inst,[status(thm)],[])).
% 2.30/1.77 tff(2430,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2429, 2428])).
% 2.30/1.77 tff(2431,plain,
% 2.30/1.77 (trans(s32, s33)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2430, 2427, 21])).
% 2.30/1.77 tff(2432,plain,
% 2.30/1.77 (((~![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))),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2433,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s32, s33)) | (~always3(s32)) | always3(s33))),
% 2.30/1.77 inference(quant_inst,[status(thm)],[])).
% 2.30/1.77 tff(2434,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s32, s33)) | (~always3(s32)) | always3(s33)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2433, 2432])).
% 2.30/1.77 tff(2435,plain,
% 2.30/1.77 ((~always3(s32)) | always3(s33)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2434, 38, 2431])).
% 2.30/1.77 tff(2436,plain,
% 2.30/1.77 (~always3(s32)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2435, 2424])).
% 2.30/1.77 tff(2437,plain,
% 2.30/1.77 (succ(s31, s32) <=> succ(s31, s32)),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2438,axiom,(succ(s31, s32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound32')).
% 2.30/1.77 tff(2439,plain,
% 2.30/1.77 (succ(s31, s32)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2438, 2437])).
% 2.30/1.77 tff(2440,plain,
% 2.30/1.77 (((~![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))),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2441,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))),
% 2.30/1.77 inference(quant_inst,[status(thm)],[])).
% 2.30/1.77 tff(2442,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2441, 2440])).
% 2.30/1.77 tff(2443,plain,
% 2.30/1.77 (trans(s31, s32)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2442, 2439, 21])).
% 2.30/1.77 tff(2444,plain,
% 2.30/1.77 (((~![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))),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2445,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s31, s32)) | (~always3(s31)) | always3(s32))),
% 2.30/1.77 inference(quant_inst,[status(thm)],[])).
% 2.30/1.77 tff(2446,plain,
% 2.30/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s31, s32)) | (~always3(s31)) | always3(s32)),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2445, 2444])).
% 2.30/1.77 tff(2447,plain,
% 2.30/1.77 ((~always3(s31)) | always3(s32)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2446, 38, 2443])).
% 2.30/1.77 tff(2448,plain,
% 2.30/1.77 (~always3(s31)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2447, 2436])).
% 2.30/1.77 tff(2449,plain,
% 2.30/1.77 (~always3(s30)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2326, 2448])).
% 2.30/1.77 tff(2450,plain,
% 2.30/1.77 (~always3(s29)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2229, 2449])).
% 2.30/1.77 tff(2451,plain,
% 2.30/1.77 (~always3(s28)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2173, 2450])).
% 2.30/1.77 tff(2452,plain,
% 2.30/1.77 (~always3(s27)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2081, 2451])).
% 2.30/1.77 tff(2453,plain,
% 2.30/1.77 (~always3(s26)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[1993, 2452])).
% 2.30/1.77 tff(2454,plain,
% 2.30/1.77 (~always3(s25)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[1873, 2453])).
% 2.30/1.77 tff(2455,plain,
% 2.30/1.77 (~always3(s24)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[1771, 2454])).
% 2.30/1.77 tff(2456,plain,
% 2.30/1.77 (~always3(s23)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[1816, 2455])).
% 2.30/1.77 tff(2457,plain,
% 2.30/1.77 (~always3(s22)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[1557, 2456])).
% 2.30/1.77 tff(2458,plain,
% 2.30/1.77 (~always3(s21)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[1306, 2457])).
% 2.30/1.77 tff(2459,plain,
% 2.30/1.77 (~always3(s20)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[1351, 2458])).
% 2.30/1.77 tff(2460,plain,
% 2.30/1.77 (~always3(s19)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[1363, 2459])).
% 2.30/1.77 tff(2461,plain,
% 2.30/1.77 (~always3(s18)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[1379, 2460])).
% 2.30/1.77 tff(2462,plain,
% 2.30/1.77 (~always3(s17)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[1395, 2461])).
% 2.30/1.77 tff(2463,plain,
% 2.30/1.77 (~always3(s16)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[1407, 2462])).
% 2.30/1.77 tff(2464,plain,
% 2.30/1.77 (~always3(s15)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[654, 2463])).
% 2.30/1.77 tff(2465,plain,
% 2.30/1.77 (xuntil6(s15)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[642, 2464])).
% 2.30/1.77 tff(2466,plain,
% 2.30/1.77 (until5(s16)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[1292, 2465])).
% 2.30/1.77 tff(2467,assumption,(~always3(s37)), introduced(assumption)).
% 2.30/1.77 tff(2468,plain,
% 2.30/1.77 (~always3(s36)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2387, 2467])).
% 2.30/1.77 tff(2469,plain,
% 2.30/1.77 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s36) | (~node4(s36)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s36) | (~node4(s36)))),
% 2.30/1.77 inference(rewrite,[status(thm)],[])).
% 2.30/1.77 tff(2470,plain,
% 2.30/1.77 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s36) | (~node4(s36)))),
% 2.30/1.77 inference(quant_inst,[status(thm)],[])).
% 2.30/1.77 tff(2471,plain,
% 2.30/1.77 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s36) | (~node4(s36))),
% 2.30/1.77 inference(modus_ponens,[status(thm)],[2470, 2469])).
% 2.30/1.77 tff(2472,plain,
% 2.30/1.77 (~node4(s36)),
% 2.30/1.77 inference(unit_resolution,[status(thm)],[2471, 113, 2468])).
% 2.30/1.77 tff(2473,plain,
% 2.30/1.77 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s37) | (~node4(s37)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s37) | (~node4(s37)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2474,plain,
% 2.30/1.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s37) | (~node4(s37)))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2475,plain,
% 2.30/1.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s37) | (~node4(s37))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2474, 2473])).
% 2.30/1.78 tff(2476,plain,
% 2.30/1.78 (~node4(s37)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2475, 113, 2467])).
% 2.30/1.78 tff(2477,assumption,(~xuntil6(s37)), introduced(assumption)).
% 2.30/1.78 tff(2478,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2479,plain,
% 2.30/1.78 ((node4(s37) | (~until5(s37)) | xuntil6(s37)) <=> (xuntil6(s37) | node4(s37) | (~until5(s37)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2480,plain,
% 2.30/1.78 (((~![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))))),
% 2.30/1.78 inference(monotonicity,[status(thm)],[2479])).
% 2.30/1.78 tff(2481,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(transitivity,[status(thm)],[2480, 2478])).
% 2.30/1.78 tff(2482,plain,
% 2.30/1.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s37) | (~until5(s37)) | xuntil6(s37))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2483,plain,
% 2.30/1.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s37) | node4(s37) | (~until5(s37))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2482, 2481])).
% 2.30/1.78 tff(2484,plain,
% 2.30/1.78 (node4(s37) | (~until5(s37))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2483, 225, 2477])).
% 2.30/1.78 tff(2485,plain,
% 2.30/1.78 (~until5(s37)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2484, 2476])).
% 2.30/1.78 tff(2486,plain,
% 2.30/1.78 (((~![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))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2487,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s36, s37)) | (~xuntil6(s36)) | until5(s37))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2488,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s36, s37)) | (~xuntil6(s36)) | until5(s37)),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2487, 2486])).
% 2.30/1.78 tff(2489,plain,
% 2.30/1.78 ((~xuntil6(s36)) | until5(s37)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2488, 2379, 243])).
% 2.30/1.78 tff(2490,plain,
% 2.30/1.78 (~xuntil6(s36)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2489, 2485])).
% 2.30/1.78 tff(2491,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2492,plain,
% 2.30/1.78 ((node4(s36) | (~until5(s36)) | xuntil6(s36)) <=> (xuntil6(s36) | node4(s36) | (~until5(s36)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2493,plain,
% 2.30/1.78 (((~![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))))),
% 2.30/1.78 inference(monotonicity,[status(thm)],[2492])).
% 2.30/1.78 tff(2494,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(transitivity,[status(thm)],[2493, 2491])).
% 2.30/1.78 tff(2495,plain,
% 2.30/1.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s36) | (~until5(s36)) | xuntil6(s36))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2496,plain,
% 2.30/1.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s36) | node4(s36) | (~until5(s36))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2495, 2494])).
% 2.30/1.78 tff(2497,plain,
% 2.30/1.78 (~until5(s36)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2496, 225, 2490, 2472])).
% 2.30/1.78 tff(2498,plain,
% 2.30/1.78 (((~![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))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2499,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s35, s36)) | (~xuntil6(s35)) | until5(s36))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2500,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s35, s36)) | (~xuntil6(s35)) | until5(s36)),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2499, 2498])).
% 2.30/1.78 tff(2501,plain,
% 2.30/1.78 ((~xuntil6(s35)) | until5(s36)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2500, 2391, 243])).
% 2.30/1.78 tff(2502,plain,
% 2.30/1.78 (~xuntil6(s35)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2501, 2497])).
% 2.30/1.78 tff(2503,plain,
% 2.30/1.78 (~always3(s35)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2399, 2468])).
% 2.30/1.78 tff(2504,plain,
% 2.30/1.78 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s35) | (~node4(s35)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s35) | (~node4(s35)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2505,plain,
% 2.30/1.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s35) | (~node4(s35)))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2506,plain,
% 2.30/1.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s35) | (~node4(s35))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2505, 2504])).
% 2.30/1.78 tff(2507,plain,
% 2.30/1.78 (~node4(s35)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2506, 113, 2503])).
% 2.30/1.78 tff(2508,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2509,plain,
% 2.30/1.78 ((node4(s35) | (~until5(s35)) | xuntil6(s35)) <=> (xuntil6(s35) | node4(s35) | (~until5(s35)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2510,plain,
% 2.30/1.78 (((~![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))))),
% 2.30/1.78 inference(monotonicity,[status(thm)],[2509])).
% 2.30/1.78 tff(2511,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(transitivity,[status(thm)],[2510, 2508])).
% 2.30/1.78 tff(2512,plain,
% 2.30/1.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s35) | (~until5(s35)) | xuntil6(s35))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2513,plain,
% 2.30/1.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s35) | node4(s35) | (~until5(s35))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2512, 2511])).
% 2.30/1.78 tff(2514,plain,
% 2.30/1.78 (xuntil6(s35) | (~until5(s35))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2513, 225, 2507])).
% 2.30/1.78 tff(2515,plain,
% 2.30/1.78 (~until5(s35)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2514, 2502])).
% 2.30/1.78 tff(2516,plain,
% 2.30/1.78 (((~![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))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2517,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s34, s35)) | (~xuntil6(s34)) | until5(s35))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2518,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s34, s35)) | (~xuntil6(s34)) | until5(s35)),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2517, 2516])).
% 2.30/1.78 tff(2519,plain,
% 2.30/1.78 ((~xuntil6(s34)) | until5(s35)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2518, 2403, 243])).
% 2.30/1.78 tff(2520,plain,
% 2.30/1.78 (~xuntil6(s34)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2519, 2515])).
% 2.30/1.78 tff(2521,plain,
% 2.30/1.78 (~always3(s34)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2411, 2503])).
% 2.30/1.78 tff(2522,plain,
% 2.30/1.78 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s34) | (~node4(s34)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s34) | (~node4(s34)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2523,plain,
% 2.30/1.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s34) | (~node4(s34)))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2524,plain,
% 2.30/1.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s34) | (~node4(s34))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2523, 2522])).
% 2.30/1.78 tff(2525,plain,
% 2.30/1.78 (~node4(s34)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2524, 113, 2521])).
% 2.30/1.78 tff(2526,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2527,plain,
% 2.30/1.78 ((node4(s34) | (~until5(s34)) | xuntil6(s34)) <=> (xuntil6(s34) | node4(s34) | (~until5(s34)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2528,plain,
% 2.30/1.78 (((~![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))))),
% 2.30/1.78 inference(monotonicity,[status(thm)],[2527])).
% 2.30/1.78 tff(2529,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(transitivity,[status(thm)],[2528, 2526])).
% 2.30/1.78 tff(2530,plain,
% 2.30/1.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s34) | (~until5(s34)) | xuntil6(s34))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2531,plain,
% 2.30/1.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s34) | node4(s34) | (~until5(s34))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2530, 2529])).
% 2.30/1.78 tff(2532,plain,
% 2.30/1.78 (xuntil6(s34) | (~until5(s34))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2531, 225, 2525])).
% 2.30/1.78 tff(2533,plain,
% 2.30/1.78 (~until5(s34)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2532, 2520])).
% 2.30/1.78 tff(2534,plain,
% 2.30/1.78 (((~![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))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2535,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s33, s34)) | (~xuntil6(s33)) | until5(s34))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2536,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s33, s34)) | (~xuntil6(s33)) | until5(s34)),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2535, 2534])).
% 2.30/1.78 tff(2537,plain,
% 2.30/1.78 ((~xuntil6(s33)) | until5(s34)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2536, 2415, 243])).
% 2.30/1.78 tff(2538,plain,
% 2.30/1.78 (~xuntil6(s33)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2537, 2533])).
% 2.30/1.78 tff(2539,plain,
% 2.30/1.78 (~always3(s33)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2423, 2521])).
% 2.30/1.78 tff(2540,plain,
% 2.30/1.78 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s33) | (~node4(s33)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s33) | (~node4(s33)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2541,plain,
% 2.30/1.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s33) | (~node4(s33)))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2542,plain,
% 2.30/1.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s33) | (~node4(s33))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2541, 2540])).
% 2.30/1.78 tff(2543,plain,
% 2.30/1.78 (~node4(s33)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2542, 113, 2539])).
% 2.30/1.78 tff(2544,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2545,plain,
% 2.30/1.78 ((node4(s33) | (~until5(s33)) | xuntil6(s33)) <=> (xuntil6(s33) | node4(s33) | (~until5(s33)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2546,plain,
% 2.30/1.78 (((~![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))))),
% 2.30/1.78 inference(monotonicity,[status(thm)],[2545])).
% 2.30/1.78 tff(2547,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(transitivity,[status(thm)],[2546, 2544])).
% 2.30/1.78 tff(2548,plain,
% 2.30/1.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s33) | (~until5(s33)) | xuntil6(s33))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2549,plain,
% 2.30/1.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s33) | node4(s33) | (~until5(s33))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2548, 2547])).
% 2.30/1.78 tff(2550,plain,
% 2.30/1.78 (xuntil6(s33) | (~until5(s33))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2549, 225, 2543])).
% 2.30/1.78 tff(2551,plain,
% 2.30/1.78 (~until5(s33)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2550, 2538])).
% 2.30/1.78 tff(2552,plain,
% 2.30/1.78 (((~![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))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2553,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s32, s33)) | (~xuntil6(s32)) | until5(s33))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2554,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s32, s33)) | (~xuntil6(s32)) | until5(s33)),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2553, 2552])).
% 2.30/1.78 tff(2555,plain,
% 2.30/1.78 ((~xuntil6(s32)) | until5(s33)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2554, 2427, 243])).
% 2.30/1.78 tff(2556,plain,
% 2.30/1.78 (~xuntil6(s32)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2555, 2551])).
% 2.30/1.78 tff(2557,plain,
% 2.30/1.78 (~always3(s32)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2435, 2539])).
% 2.30/1.78 tff(2558,plain,
% 2.30/1.78 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s32) | (~node4(s32)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s32) | (~node4(s32)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2559,plain,
% 2.30/1.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s32) | (~node4(s32)))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2560,plain,
% 2.30/1.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s32) | (~node4(s32))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2559, 2558])).
% 2.30/1.78 tff(2561,plain,
% 2.30/1.78 (~node4(s32)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2560, 113, 2557])).
% 2.30/1.78 tff(2562,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2563,plain,
% 2.30/1.78 ((node4(s32) | (~until5(s32)) | xuntil6(s32)) <=> (xuntil6(s32) | node4(s32) | (~until5(s32)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2564,plain,
% 2.30/1.78 (((~![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))))),
% 2.30/1.78 inference(monotonicity,[status(thm)],[2563])).
% 2.30/1.78 tff(2565,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(transitivity,[status(thm)],[2564, 2562])).
% 2.30/1.78 tff(2566,plain,
% 2.30/1.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s32) | (~until5(s32)) | xuntil6(s32))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2567,plain,
% 2.30/1.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s32) | node4(s32) | (~until5(s32))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2566, 2565])).
% 2.30/1.78 tff(2568,plain,
% 2.30/1.78 (xuntil6(s32) | (~until5(s32))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2567, 225, 2561])).
% 2.30/1.78 tff(2569,plain,
% 2.30/1.78 (~until5(s32)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2568, 2556])).
% 2.30/1.78 tff(2570,plain,
% 2.30/1.78 (((~![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))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2571,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s31, s32)) | (~xuntil6(s31)) | until5(s32))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2572,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s31, s32)) | (~xuntil6(s31)) | until5(s32)),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2571, 2570])).
% 2.30/1.78 tff(2573,plain,
% 2.30/1.78 ((~xuntil6(s31)) | until5(s32)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2572, 2439, 243])).
% 2.30/1.78 tff(2574,plain,
% 2.30/1.78 (~xuntil6(s31)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2573, 2569])).
% 2.30/1.78 tff(2575,plain,
% 2.30/1.78 (~always3(s31)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2447, 2557])).
% 2.30/1.78 tff(2576,plain,
% 2.30/1.78 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s31) | (~node4(s31)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s31) | (~node4(s31)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2577,plain,
% 2.30/1.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s31) | (~node4(s31)))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2578,plain,
% 2.30/1.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s31) | (~node4(s31))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2577, 2576])).
% 2.30/1.78 tff(2579,plain,
% 2.30/1.78 (~node4(s31)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2578, 113, 2575])).
% 2.30/1.78 tff(2580,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2581,plain,
% 2.30/1.78 ((node4(s31) | (~until5(s31)) | xuntil6(s31)) <=> (xuntil6(s31) | node4(s31) | (~until5(s31)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2582,plain,
% 2.30/1.78 (((~![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))))),
% 2.30/1.78 inference(monotonicity,[status(thm)],[2581])).
% 2.30/1.78 tff(2583,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(transitivity,[status(thm)],[2582, 2580])).
% 2.30/1.78 tff(2584,plain,
% 2.30/1.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s31) | (~until5(s31)) | xuntil6(s31))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2585,plain,
% 2.30/1.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s31) | node4(s31) | (~until5(s31))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2584, 2583])).
% 2.30/1.78 tff(2586,plain,
% 2.30/1.78 (xuntil6(s31) | (~until5(s31))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2585, 225, 2579])).
% 2.30/1.78 tff(2587,plain,
% 2.30/1.78 (~until5(s31)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2586, 2574])).
% 2.30/1.78 tff(2588,plain,
% 2.30/1.78 (~xuntil6(s30)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2361, 2587])).
% 2.30/1.78 tff(2589,plain,
% 2.30/1.78 (~always3(s30)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2326, 2575])).
% 2.30/1.78 tff(2590,plain,
% 2.30/1.78 (~node4(s30)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2314, 113, 2589])).
% 2.30/1.78 tff(2591,plain,
% 2.30/1.78 (xuntil6(s30) | (~until5(s30))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2355, 225, 2590])).
% 2.30/1.78 tff(2592,plain,
% 2.30/1.78 (~until5(s30)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2591, 2588])).
% 2.30/1.78 tff(2593,plain,
% 2.30/1.78 (~xuntil6(s29)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2305, 2592])).
% 2.30/1.78 tff(2594,plain,
% 2.30/1.78 (~always3(s29)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2229, 2589])).
% 2.30/1.78 tff(2595,plain,
% 2.30/1.78 (~node4(s29)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2217, 113, 2594])).
% 2.30/1.78 tff(2596,plain,
% 2.30/1.78 (xuntil6(s29) | (~until5(s29))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2299, 225, 2595])).
% 2.30/1.78 tff(2597,plain,
% 2.30/1.78 (~until5(s29)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2596, 2593])).
% 2.30/1.78 tff(2598,plain,
% 2.30/1.78 (~xuntil6(s28)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2208, 2597])).
% 2.30/1.78 tff(2599,plain,
% 2.30/1.78 (~always3(s28)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2173, 2594])).
% 2.30/1.78 tff(2600,plain,
% 2.30/1.78 (~node4(s28)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2161, 113, 2599])).
% 2.30/1.78 tff(2601,plain,
% 2.30/1.78 (xuntil6(s28) | (~until5(s28))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2202, 225, 2600])).
% 2.30/1.78 tff(2602,plain,
% 2.30/1.78 (~until5(s28)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2601, 2598])).
% 2.30/1.78 tff(2603,plain,
% 2.30/1.78 (~xuntil6(s27)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2152, 2602])).
% 2.30/1.78 tff(2604,plain,
% 2.30/1.78 (~always3(s27)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2081, 2599])).
% 2.30/1.78 tff(2605,plain,
% 2.30/1.78 (~node4(s27)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2001, 113, 2604])).
% 2.30/1.78 tff(2606,plain,
% 2.30/1.78 (xuntil6(s27) | (~until5(s27))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2008, 225, 2605])).
% 2.30/1.78 tff(2607,plain,
% 2.30/1.78 (~until5(s27)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2606, 2603])).
% 2.30/1.78 tff(2608,plain,
% 2.30/1.78 (~always3(s26)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1993, 2604])).
% 2.30/1.78 tff(2609,plain,
% 2.30/1.78 (~always3(s25)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1873, 2608])).
% 2.30/1.78 tff(2610,plain,
% 2.30/1.78 (~always3(s24)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1771, 2609])).
% 2.30/1.78 tff(2611,plain,
% 2.30/1.78 (~always3(s23)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1816, 2610])).
% 2.30/1.78 tff(2612,plain,
% 2.30/1.78 (~always3(s22)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1557, 2611])).
% 2.30/1.78 tff(2613,plain,
% 2.30/1.78 (~always3(s21)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1306, 2612])).
% 2.30/1.78 tff(2614,plain,
% 2.30/1.78 (~always3(s20)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1351, 2613])).
% 2.30/1.78 tff(2615,plain,
% 2.30/1.78 (~always3(s19)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1363, 2614])).
% 2.30/1.78 tff(2616,plain,
% 2.30/1.78 (~always3(s18)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1379, 2615])).
% 2.30/1.78 tff(2617,plain,
% 2.30/1.78 (~always3(s17)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1395, 2616])).
% 2.30/1.78 tff(2618,plain,
% 2.30/1.78 (~node4(s17)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1417, 113, 2617])).
% 2.30/1.78 tff(2619,plain,
% 2.30/1.78 (~always3(s16)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1407, 2617])).
% 2.30/1.78 tff(2620,plain,
% 2.30/1.78 (~node4(s16)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1430, 113, 2619])).
% 2.30/1.78 tff(2621,plain,
% 2.30/1.78 (xuntil6(s16)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1438, 2620])).
% 2.30/1.78 tff(2622,plain,
% 2.30/1.78 (until5(s17)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1443, 2621])).
% 2.30/1.78 tff(2623,plain,
% 2.30/1.78 (xuntil6(s17)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1424, 225, 2622, 2618])).
% 2.30/1.78 tff(2624,plain,
% 2.30/1.78 (until5(s18)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1506, 2623])).
% 2.30/1.78 tff(2625,plain,
% 2.30/1.78 (~node4(s18)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1383, 113, 2616])).
% 2.30/1.78 tff(2626,plain,
% 2.30/1.78 (xuntil6(s18) | (~until5(s18))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1513, 225, 2625])).
% 2.30/1.78 tff(2627,plain,
% 2.30/1.78 (xuntil6(s18)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2626, 2624])).
% 2.30/1.78 tff(2628,plain,
% 2.30/1.78 (until5(s19)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1519, 2627])).
% 2.30/1.78 tff(2629,plain,
% 2.30/1.78 (~node4(s19)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1367, 113, 2615])).
% 2.30/1.78 tff(2630,plain,
% 2.30/1.78 (xuntil6(s19) | (~until5(s19))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1526, 225, 2629])).
% 2.30/1.78 tff(2631,plain,
% 2.30/1.78 (xuntil6(s19)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2630, 2628])).
% 2.30/1.78 tff(2632,plain,
% 2.30/1.78 (until5(s20)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1531, 2631])).
% 2.30/1.78 tff(2633,plain,
% 2.30/1.78 (~node4(s20)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1535, 113, 2614])).
% 2.30/1.78 tff(2634,plain,
% 2.30/1.78 (xuntil6(s20) | (~until5(s20))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1542, 225, 2633])).
% 2.30/1.78 tff(2635,plain,
% 2.30/1.78 (xuntil6(s20)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2634, 2632])).
% 2.30/1.78 tff(2636,plain,
% 2.30/1.78 (until5(s21)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1342, 2635])).
% 2.30/1.78 tff(2637,plain,
% 2.30/1.78 (~node4(s21)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1310, 113, 2613])).
% 2.30/1.78 tff(2638,plain,
% 2.30/1.78 (xuntil6(s21) | (~until5(s21))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1334, 225, 2637])).
% 2.30/1.78 tff(2639,plain,
% 2.30/1.78 (xuntil6(s21)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2638, 2636])).
% 2.30/1.78 tff(2640,plain,
% 2.30/1.78 (until5(s22)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1327, 2639])).
% 2.30/1.78 tff(2641,plain,
% 2.30/1.78 (~node4(s22)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1314, 113, 2612])).
% 2.30/1.78 tff(2642,plain,
% 2.30/1.78 (xuntil6(s22) | (~until5(s22))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1321, 225, 2641])).
% 2.30/1.78 tff(2643,plain,
% 2.30/1.78 (xuntil6(s22)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2642, 2640])).
% 2.30/1.78 tff(2644,plain,
% 2.30/1.78 (until5(s23)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1756, 2643])).
% 2.30/1.78 tff(2645,plain,
% 2.30/1.78 (~node4(s23)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1820, 113, 2611])).
% 2.30/1.78 tff(2646,plain,
% 2.30/1.78 (xuntil6(s23) | (~until5(s23))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1827, 225, 2645])).
% 2.30/1.78 tff(2647,plain,
% 2.30/1.78 (xuntil6(s23)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2646, 2644])).
% 2.30/1.78 tff(2648,plain,
% 2.30/1.78 (until5(s24)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1807, 2647])).
% 2.30/1.78 tff(2649,plain,
% 2.30/1.78 (~node4(s24)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1775, 113, 2610])).
% 2.30/1.78 tff(2650,plain,
% 2.30/1.78 (xuntil6(s24) | (~until5(s24))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1799, 225, 2649])).
% 2.30/1.78 tff(2651,plain,
% 2.30/1.78 (xuntil6(s24)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2650, 2648])).
% 2.30/1.78 tff(2652,plain,
% 2.30/1.78 (until5(s25)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1792, 2651])).
% 2.30/1.78 tff(2653,plain,
% 2.30/1.78 (~node4(s25)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1779, 113, 2609])).
% 2.30/1.78 tff(2654,plain,
% 2.30/1.78 (xuntil6(s25) | (~until5(s25))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1786, 225, 2653])).
% 2.30/1.78 tff(2655,plain,
% 2.30/1.78 (xuntil6(s25)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2654, 2652])).
% 2.30/1.78 tff(2656,plain,
% 2.30/1.78 (until5(s26)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1979, 2655])).
% 2.30/1.78 tff(2657,plain,
% 2.30/1.78 (~node4(s26)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[1997, 113, 2608])).
% 2.30/1.78 tff(2658,plain,
% 2.30/1.78 (xuntil6(s26) | (~until5(s26))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2021, 225, 2657])).
% 2.30/1.78 tff(2659,plain,
% 2.30/1.78 (xuntil6(s26)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2658, 2656])).
% 2.30/1.78 tff(2660,plain,
% 2.30/1.78 ($false),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2014, 2659, 2607])).
% 2.30/1.78 tff(2661,plain,(always3(s37) | (~until5(s16)) | xuntil6(s37)), inference(lemma,lemma(discharge,[]))).
% 2.30/1.78 tff(2662,plain,
% 2.30/1.78 (xuntil6(s37)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2661, 2466, 2376])).
% 2.30/1.78 tff(2663,plain,
% 2.30/1.78 (((~![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))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2664,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s37, s38)) | (~xuntil6(s37)) | until5(s38))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2665,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s37, s38)) | (~xuntil6(s37)) | until5(s38)),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2664, 2663])).
% 2.30/1.78 tff(2666,plain,
% 2.30/1.78 ((~xuntil6(s37)) | until5(s38)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2665, 2367, 243])).
% 2.30/1.78 tff(2667,plain,
% 2.30/1.78 (until5(s38)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2666, 2662])).
% 2.30/1.78 tff(2668,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2669,plain,
% 2.30/1.78 ((node4(s38) | (~until5(s38)) | xuntil6(s38)) <=> (xuntil6(s38) | node4(s38) | (~until5(s38)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2670,plain,
% 2.30/1.78 (((~![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))))),
% 2.30/1.78 inference(monotonicity,[status(thm)],[2669])).
% 2.30/1.78 tff(2671,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(transitivity,[status(thm)],[2670, 2668])).
% 2.30/1.78 tff(2672,plain,
% 2.30/1.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s38) | (~until5(s38)) | xuntil6(s38))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2673,plain,
% 2.30/1.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s38) | node4(s38) | (~until5(s38))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2672, 2671])).
% 2.30/1.78 tff(2674,plain,
% 2.30/1.78 (node4(s38) | (~until5(s38))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2673, 225, 2363])).
% 2.30/1.78 tff(2675,plain,
% 2.30/1.78 (node4(s38)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2674, 2667])).
% 2.30/1.78 tff(2676,plain,
% 2.30/1.78 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s38) | (~node4(s38)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s38) | (~node4(s38)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2677,plain,
% 2.30/1.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s38) | (~node4(s38)))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2678,plain,
% 2.30/1.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s38) | (~node4(s38))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2677, 2676])).
% 2.30/1.78 tff(2679,plain,
% 2.30/1.78 ($false),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2678, 113, 2364, 2675])).
% 2.30/1.78 tff(2680,plain,(always3(s38) | xuntil6(s38)), inference(lemma,lemma(discharge,[]))).
% 2.30/1.78 tff(2681,plain,
% 2.30/1.78 (always3(s38)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2680, 2363])).
% 2.30/1.78 tff(2682,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2683,plain,
% 2.30/1.78 (((~m_main_v_state(s38, c_busy)) | (~always3(s38))) <=> ((~always3(s38)) | (~m_main_v_state(s38, c_busy)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2684,plain,
% 2.30/1.78 (((~![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))))),
% 2.30/1.78 inference(monotonicity,[status(thm)],[2683])).
% 2.30/1.78 tff(2685,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(transitivity,[status(thm)],[2684, 2682])).
% 2.30/1.78 tff(2686,plain,
% 2.30/1.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s38, c_busy)) | (~always3(s38)))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2687,plain,
% 2.30/1.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s38)) | (~m_main_v_state(s38, c_busy))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2686, 2685])).
% 2.30/1.78 tff(2688,plain,
% 2.30/1.78 (~m_main_v_state(s38, c_busy)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2687, 145, 2681])).
% 2.30/1.78 tff(2689,plain,
% 2.30/1.78 (succ(s38, s39) <=> succ(s38, s39)),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2690,axiom,(succ(s38, s39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound39')).
% 2.30/1.78 tff(2691,plain,
% 2.30/1.78 (succ(s38, s39)),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2690, 2689])).
% 2.30/1.78 tff(2692,plain,
% 2.30/1.78 (((~![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))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2693,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2694,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39)),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2693, 2692])).
% 2.30/1.78 tff(2695,plain,
% 2.30/1.78 (trans(s38, s39)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2694, 2691, 21])).
% 2.30/1.78 tff(2696,plain,
% 2.30/1.78 (((~![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))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2697,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s38, s39)) | (~always3(s38)) | always3(s39))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2698,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s38, s39)) | (~always3(s38)) | always3(s39)),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2697, 2696])).
% 2.30/1.78 tff(2699,plain,
% 2.30/1.78 ((~always3(s38)) | always3(s39)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2698, 38, 2695])).
% 2.30/1.78 tff(2700,plain,
% 2.30/1.78 (always3(s39)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2699, 2681])).
% 2.30/1.78 tff(2701,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2702,plain,
% 2.30/1.78 (((~m_main_v_state(s39, c_busy)) | (~always3(s39))) <=> ((~always3(s39)) | (~m_main_v_state(s39, c_busy)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2703,plain,
% 2.30/1.78 (((~![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))))),
% 2.30/1.78 inference(monotonicity,[status(thm)],[2702])).
% 2.30/1.78 tff(2704,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(transitivity,[status(thm)],[2703, 2701])).
% 2.30/1.78 tff(2705,plain,
% 2.30/1.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s39, c_busy)) | (~always3(s39)))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2706,plain,
% 2.30/1.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s39)) | (~m_main_v_state(s39, c_busy))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2705, 2704])).
% 2.30/1.78 tff(2707,plain,
% 2.30/1.78 (~m_main_v_state(s39, c_busy)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2706, 145, 2700])).
% 2.30/1.78 tff(2708,plain,
% 2.30/1.78 (((~![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))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2709,plain,
% 2.30/1.78 ((~![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))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2710,plain,
% 2.30/1.78 ((~![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)),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2709, 2708])).
% 2.30/1.78 tff(2711,plain,
% 2.30/1.78 (m_main_v_state(s38, c_ready)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2710, 188, 2688])).
% 2.30/1.78 tff(2712,plain,
% 2.30/1.78 (((~![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))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2713,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s38, s39)) | node2(s38, s39))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2714,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s38, s39)) | node2(s38, s39)),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2713, 2712])).
% 2.30/1.78 tff(2715,plain,
% 2.30/1.78 (node2(s38, s39)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2714, 7, 2695])).
% 2.30/1.78 tff(2716,plain,
% 2.30/1.78 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2717,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s38, c_ready)) | (~node2(s38, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38)))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2718,plain,
% 2.30/1.78 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s38, c_ready)) | (~node2(s38, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2717, 2716])).
% 2.30/1.78 tff(2719,plain,
% 2.30/1.78 ((~m_main_v_state(s38, c_ready)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38))),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2718, 166, 2715])).
% 2.30/1.78 tff(2720,plain,
% 2.30/1.78 (~m_main_v_request(s38)),
% 2.30/1.78 inference(unit_resolution,[status(thm)],[2719, 2711, 2707])).
% 2.30/1.78 tff(2721,plain,
% 2.30/1.78 (((~![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)))),
% 2.30/1.78 inference(rewrite,[status(thm)],[])).
% 2.30/1.78 tff(2722,plain,
% 2.30/1.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s38) | (~node4(s38)))),
% 2.30/1.78 inference(quant_inst,[status(thm)],[])).
% 2.30/1.78 tff(2723,plain,
% 2.30/1.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s38) | (~node4(s38))),
% 2.30/1.78 inference(modus_ponens,[status(thm)],[2722, 2721])).
% 2.30/1.79 tff(2724,plain,
% 2.30/1.79 (~node4(s38)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2723, 63, 2720])).
% 2.30/1.79 tff(2725,plain,
% 2.30/1.79 (~until5(s38)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2674, 2724])).
% 2.30/1.79 tff(2726,plain,
% 2.30/1.79 (~xuntil6(s37)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2666, 2725])).
% 2.30/1.79 tff(2727,assumption,(~m_main_v_state(s38, c_busy)), introduced(assumption)).
% 2.30/1.79 tff(2728,assumption,(~always3(s31)), introduced(assumption)).
% 2.30/1.79 tff(2729,plain,
% 2.30/1.79 (~always3(s30)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2326, 2728])).
% 2.30/1.79 tff(2730,plain,
% 2.30/1.79 (~always3(s29)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2229, 2729])).
% 2.30/1.79 tff(2731,plain,
% 2.30/1.79 (~always3(s28)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2173, 2730])).
% 2.30/1.79 tff(2732,plain,
% 2.30/1.79 (~always3(s27)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2081, 2731])).
% 2.30/1.79 tff(2733,plain,
% 2.30/1.79 (~always3(s26)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1993, 2732])).
% 2.30/1.79 tff(2734,plain,
% 2.30/1.79 (~always3(s25)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1873, 2733])).
% 2.30/1.79 tff(2735,plain,
% 2.30/1.79 (~always3(s24)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1771, 2734])).
% 2.30/1.79 tff(2736,plain,
% 2.30/1.79 (~always3(s23)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1816, 2735])).
% 2.30/1.79 tff(2737,plain,
% 2.30/1.79 (~always3(s22)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1557, 2736])).
% 2.30/1.79 tff(2738,plain,
% 2.30/1.79 (~always3(s21)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1306, 2737])).
% 2.30/1.79 tff(2739,plain,
% 2.30/1.79 (~always3(s20)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1351, 2738])).
% 2.30/1.79 tff(2740,plain,
% 2.30/1.79 (~always3(s19)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1363, 2739])).
% 2.30/1.79 tff(2741,plain,
% 2.30/1.79 (~always3(s18)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1379, 2740])).
% 2.30/1.79 tff(2742,plain,
% 2.30/1.79 (~always3(s17)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1395, 2741])).
% 2.30/1.79 tff(2743,plain,
% 2.30/1.79 (~always3(s16)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1407, 2742])).
% 2.30/1.79 tff(2744,plain,
% 2.30/1.79 (~always3(s15)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[654, 2743])).
% 2.30/1.79 tff(2745,plain,
% 2.30/1.79 (xuntil6(s15)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[642, 2744])).
% 2.30/1.79 tff(2746,plain,
% 2.30/1.79 (until5(s16)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1292, 2745])).
% 2.30/1.79 tff(2747,plain,
% 2.30/1.79 (always3(s37)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2661, 2746, 2477])).
% 2.30/1.79 tff(2748,plain,
% 2.30/1.79 (((~![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)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2749,plain,
% 2.30/1.79 (((~m_main_v_state(s37, c_busy)) | (~always3(s37))) <=> ((~always3(s37)) | (~m_main_v_state(s37, c_busy)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2750,plain,
% 2.30/1.79 (((~![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))))),
% 2.30/1.79 inference(monotonicity,[status(thm)],[2749])).
% 2.30/1.79 tff(2751,plain,
% 2.30/1.79 (((~![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)))),
% 2.30/1.79 inference(transitivity,[status(thm)],[2750, 2748])).
% 2.30/1.79 tff(2752,plain,
% 2.30/1.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s37, c_busy)) | (~always3(s37)))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2753,plain,
% 2.30/1.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s37)) | (~m_main_v_state(s37, c_busy))),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2752, 2751])).
% 2.30/1.79 tff(2754,plain,
% 2.30/1.79 (~m_main_v_state(s37, c_busy)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2753, 145, 2747])).
% 2.30/1.79 tff(2755,plain,
% 2.30/1.79 (((~![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))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2756,plain,
% 2.30/1.79 ((~![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))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2757,plain,
% 2.30/1.79 ((~![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)),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2756, 2755])).
% 2.30/1.79 tff(2758,plain,
% 2.30/1.79 (m_main_v_state(s37, c_ready)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2757, 188, 2754])).
% 2.30/1.79 tff(2759,plain,
% 2.30/1.79 (((~![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))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2760,plain,
% 2.30/1.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s37, s38)) | node2(s37, s38))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2761,plain,
% 2.30/1.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s37, s38)) | node2(s37, s38)),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2760, 2759])).
% 2.30/1.79 tff(2762,plain,
% 2.30/1.79 (node2(s37, s38)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2761, 7, 2371])).
% 2.30/1.79 tff(2763,plain,
% 2.30/1.79 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2764,plain,
% 2.30/1.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s37, c_ready)) | (~node2(s37, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37)))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2765,plain,
% 2.30/1.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s37, c_ready)) | (~node2(s37, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37))),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2764, 2763])).
% 2.30/1.79 tff(2766,plain,
% 2.30/1.79 ((~m_main_v_state(s37, c_ready)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37))),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2765, 166, 2762])).
% 2.30/1.79 tff(2767,plain,
% 2.30/1.79 (~m_main_v_request(s37)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2766, 2758, 2727])).
% 2.30/1.79 tff(2768,plain,
% 2.30/1.79 (((~![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)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2769,plain,
% 2.30/1.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s37) | (~node4(s37)))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2770,plain,
% 2.30/1.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s37) | (~node4(s37))),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2769, 2768])).
% 2.30/1.79 tff(2771,plain,
% 2.30/1.79 (~node4(s37)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2770, 63, 2767])).
% 2.30/1.79 tff(2772,assumption,(~m_main_v_state(s37, c_busy)), introduced(assumption)).
% 2.30/1.79 tff(2773,assumption,(node4(s36)), introduced(assumption)).
% 2.30/1.79 tff(2774,plain,
% 2.30/1.79 (((~![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)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2775,plain,
% 2.30/1.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s36) | (~node4(s36)))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2776,plain,
% 2.30/1.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s36) | (~node4(s36))),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2775, 2774])).
% 2.30/1.79 tff(2777,plain,
% 2.30/1.79 (m_main_v_request(s36)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2776, 63, 2773])).
% 2.30/1.79 tff(2778,plain,
% 2.30/1.79 (((~![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))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2779,plain,
% 2.30/1.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s36, s37)) | node2(s36, s37))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2780,plain,
% 2.30/1.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s36, s37)) | node2(s36, s37)),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2779, 2778])).
% 2.30/1.79 tff(2781,plain,
% 2.30/1.79 (node2(s36, s37)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2780, 7, 2383])).
% 2.30/1.79 tff(2782,plain,
% 2.30/1.79 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2783,plain,
% 2.30/1.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s36, c_ready)) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36)))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2784,plain,
% 2.30/1.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s36, c_ready)) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36))),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2783, 2782])).
% 2.30/1.79 tff(2785,plain,
% 2.30/1.79 ((~m_main_v_state(s36, c_ready)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36))),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2784, 166, 2781])).
% 2.30/1.79 tff(2786,plain,
% 2.30/1.79 (~m_main_v_state(s36, c_ready)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2785, 2777, 2772])).
% 2.30/1.79 tff(2787,plain,
% 2.30/1.79 (always3(s36)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2471, 113, 2773])).
% 2.30/1.79 tff(2788,plain,
% 2.30/1.79 (((~![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)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2789,plain,
% 2.30/1.79 (((~m_main_v_state(s36, c_busy)) | (~always3(s36))) <=> ((~always3(s36)) | (~m_main_v_state(s36, c_busy)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2790,plain,
% 2.30/1.79 (((~![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))))),
% 2.30/1.79 inference(monotonicity,[status(thm)],[2789])).
% 2.30/1.79 tff(2791,plain,
% 2.30/1.79 (((~![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)))),
% 2.30/1.79 inference(transitivity,[status(thm)],[2790, 2788])).
% 2.30/1.79 tff(2792,plain,
% 2.30/1.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s36, c_busy)) | (~always3(s36)))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2793,plain,
% 2.30/1.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s36)) | (~m_main_v_state(s36, c_busy))),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2792, 2791])).
% 2.30/1.79 tff(2794,plain,
% 2.30/1.79 (~m_main_v_state(s36, c_busy)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2793, 145, 2787])).
% 2.30/1.79 tff(2795,plain,
% 2.30/1.79 (((~![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))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2796,plain,
% 2.30/1.79 ((~![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))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2797,plain,
% 2.30/1.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s36, c_busy) | m_main_v_state(s36, c_ready)),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2796, 2795])).
% 2.30/1.79 tff(2798,plain,
% 2.30/1.79 ($false),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2797, 188, 2794, 2786])).
% 2.30/1.79 tff(2799,plain,((~node4(s36)) | m_main_v_state(s37, c_busy)), inference(lemma,lemma(discharge,[]))).
% 2.30/1.79 tff(2800,plain,
% 2.30/1.79 (~node4(s36)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2799, 2754])).
% 2.30/1.79 tff(2801,plain,
% 2.30/1.79 (~node4(s19)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1367, 113, 2740])).
% 2.30/1.79 tff(2802,plain,
% 2.30/1.79 (~node4(s18)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1383, 113, 2741])).
% 2.30/1.79 tff(2803,plain,
% 2.30/1.79 (xuntil6(s17)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1501, 2746])).
% 2.30/1.79 tff(2804,plain,
% 2.30/1.79 (until5(s18)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1506, 2803])).
% 2.30/1.79 tff(2805,plain,
% 2.30/1.79 (xuntil6(s18) | node4(s18)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1513, 225, 2804])).
% 2.30/1.79 tff(2806,plain,
% 2.30/1.79 (xuntil6(s18)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2805, 2802])).
% 2.30/1.79 tff(2807,plain,
% 2.30/1.79 (until5(s19)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1519, 2806])).
% 2.30/1.79 tff(2808,plain,
% 2.30/1.79 (xuntil6(s19)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1526, 225, 2807, 2801])).
% 2.30/1.79 tff(2809,plain,
% 2.30/1.79 (until5(s20)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1531, 2808])).
% 2.30/1.79 tff(2810,plain,
% 2.30/1.79 (~node4(s20)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1535, 113, 2739])).
% 2.30/1.79 tff(2811,plain,
% 2.30/1.79 (xuntil6(s20) | (~until5(s20))),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1542, 225, 2810])).
% 2.30/1.79 tff(2812,plain,
% 2.30/1.79 (xuntil6(s20)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2811, 2809])).
% 2.30/1.79 tff(2813,plain,
% 2.30/1.79 (until5(s21)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1342, 2812])).
% 2.30/1.79 tff(2814,plain,
% 2.30/1.79 (~node4(s21)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1310, 113, 2738])).
% 2.30/1.79 tff(2815,plain,
% 2.30/1.79 (xuntil6(s21) | (~until5(s21))),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1334, 225, 2814])).
% 2.30/1.79 tff(2816,plain,
% 2.30/1.79 (xuntil6(s21)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2815, 2813])).
% 2.30/1.79 tff(2817,plain,
% 2.30/1.79 (until5(s22)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1327, 2816])).
% 2.30/1.79 tff(2818,plain,
% 2.30/1.79 (~node4(s22)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1314, 113, 2737])).
% 2.30/1.79 tff(2819,plain,
% 2.30/1.79 (xuntil6(s22) | (~until5(s22))),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1321, 225, 2818])).
% 2.30/1.79 tff(2820,plain,
% 2.30/1.79 (xuntil6(s22)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2819, 2817])).
% 2.30/1.79 tff(2821,plain,
% 2.30/1.79 (until5(s23)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1756, 2820])).
% 2.30/1.79 tff(2822,plain,
% 2.30/1.79 (~node4(s23)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1820, 113, 2736])).
% 2.30/1.79 tff(2823,plain,
% 2.30/1.79 (xuntil6(s23) | (~until5(s23))),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1827, 225, 2822])).
% 2.30/1.79 tff(2824,plain,
% 2.30/1.79 (xuntil6(s23)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2823, 2821])).
% 2.30/1.79 tff(2825,plain,
% 2.30/1.79 (until5(s24)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1807, 2824])).
% 2.30/1.79 tff(2826,plain,
% 2.30/1.79 (~node4(s24)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1775, 113, 2735])).
% 2.30/1.79 tff(2827,plain,
% 2.30/1.79 (xuntil6(s24) | (~until5(s24))),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1799, 225, 2826])).
% 2.30/1.79 tff(2828,plain,
% 2.30/1.79 (xuntil6(s24)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2827, 2825])).
% 2.30/1.79 tff(2829,plain,
% 2.30/1.79 (until5(s25)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1792, 2828])).
% 2.30/1.79 tff(2830,plain,
% 2.30/1.79 (~node4(s25)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1779, 113, 2734])).
% 2.30/1.79 tff(2831,plain,
% 2.30/1.79 (xuntil6(s25) | (~until5(s25))),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1786, 225, 2830])).
% 2.30/1.79 tff(2832,plain,
% 2.30/1.79 (xuntil6(s25)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2831, 2829])).
% 2.30/1.79 tff(2833,plain,
% 2.30/1.79 (until5(s26)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1979, 2832])).
% 2.30/1.79 tff(2834,plain,
% 2.30/1.79 (~node4(s26)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[1997, 113, 2733])).
% 2.30/1.79 tff(2835,plain,
% 2.30/1.79 (xuntil6(s26) | (~until5(s26))),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2021, 225, 2834])).
% 2.30/1.79 tff(2836,plain,
% 2.30/1.79 (xuntil6(s26)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2835, 2833])).
% 2.30/1.79 tff(2837,plain,
% 2.30/1.79 (until5(s27)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2014, 2836])).
% 2.30/1.79 tff(2838,plain,
% 2.30/1.79 (~node4(s27)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2001, 113, 2732])).
% 2.30/1.79 tff(2839,plain,
% 2.30/1.79 (xuntil6(s27) | (~until5(s27))),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2008, 225, 2838])).
% 2.30/1.79 tff(2840,plain,
% 2.30/1.79 (xuntil6(s27)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2839, 2837])).
% 2.30/1.79 tff(2841,plain,
% 2.30/1.79 (until5(s28)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2152, 2840])).
% 2.30/1.79 tff(2842,plain,
% 2.30/1.79 (xuntil6(s28)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2203, 2841])).
% 2.30/1.79 tff(2843,plain,
% 2.30/1.79 (until5(s29)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2208, 2842])).
% 2.30/1.79 tff(2844,plain,
% 2.30/1.79 (~node4(s29)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2217, 113, 2730])).
% 2.30/1.79 tff(2845,plain,
% 2.30/1.79 (xuntil6(s29) | (~until5(s29))),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2299, 225, 2844])).
% 2.30/1.79 tff(2846,plain,
% 2.30/1.79 (xuntil6(s29)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2845, 2843])).
% 2.30/1.79 tff(2847,plain,
% 2.30/1.79 (until5(s30)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2305, 2846])).
% 2.30/1.79 tff(2848,plain,
% 2.30/1.79 (xuntil6(s30)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2356, 2847])).
% 2.30/1.79 tff(2849,plain,
% 2.30/1.79 (until5(s31)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2361, 2848])).
% 2.30/1.79 tff(2850,plain,
% 2.30/1.79 (~node4(s31)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2578, 113, 2728])).
% 2.30/1.79 tff(2851,plain,
% 2.30/1.79 (xuntil6(s31) | (~until5(s31))),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2585, 225, 2850])).
% 2.30/1.79 tff(2852,plain,
% 2.30/1.79 (xuntil6(s31)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2851, 2849])).
% 2.30/1.79 tff(2853,plain,
% 2.30/1.79 (until5(s32)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2573, 2852])).
% 2.30/1.79 tff(2854,assumption,(node4(s32)), introduced(assumption)).
% 2.30/1.79 tff(2855,plain,
% 2.30/1.79 (((~![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)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2856,plain,
% 2.30/1.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s32) | (~node4(s32)))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2857,plain,
% 2.30/1.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s32) | (~node4(s32))),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2856, 2855])).
% 2.30/1.79 tff(2858,plain,
% 2.30/1.79 (m_main_v_request(s32)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2857, 63, 2854])).
% 2.30/1.79 tff(2859,plain,
% 2.30/1.79 (always3(s32)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2560, 113, 2854])).
% 2.30/1.79 tff(2860,plain,
% 2.30/1.79 (always3(s33)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2435, 2859])).
% 2.30/1.79 tff(2861,plain,
% 2.30/1.79 (((~![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)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2862,plain,
% 2.30/1.79 (((~m_main_v_state(s33, c_busy)) | (~always3(s33))) <=> ((~always3(s33)) | (~m_main_v_state(s33, c_busy)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2863,plain,
% 2.30/1.79 (((~![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))))),
% 2.30/1.79 inference(monotonicity,[status(thm)],[2862])).
% 2.30/1.79 tff(2864,plain,
% 2.30/1.79 (((~![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)))),
% 2.30/1.79 inference(transitivity,[status(thm)],[2863, 2861])).
% 2.30/1.79 tff(2865,plain,
% 2.30/1.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s33, c_busy)) | (~always3(s33)))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2866,plain,
% 2.30/1.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s33)) | (~m_main_v_state(s33, c_busy))),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2865, 2864])).
% 2.30/1.79 tff(2867,plain,
% 2.30/1.79 (~m_main_v_state(s33, c_busy)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2866, 145, 2860])).
% 2.30/1.79 tff(2868,plain,
% 2.30/1.79 (((~![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))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2869,plain,
% 2.30/1.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s32, s33)) | node2(s32, s33))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2870,plain,
% 2.30/1.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s32, s33)) | node2(s32, s33)),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2869, 2868])).
% 2.30/1.79 tff(2871,plain,
% 2.30/1.79 (node2(s32, s33)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2870, 7, 2431])).
% 2.30/1.79 tff(2872,plain,
% 2.30/1.79 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2873,plain,
% 2.30/1.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s32, c_ready)) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32)))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2874,plain,
% 2.30/1.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s32, c_ready)) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32))),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2873, 2872])).
% 2.30/1.79 tff(2875,plain,
% 2.30/1.79 ((~m_main_v_state(s32, c_ready)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32))),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2874, 166, 2871])).
% 2.30/1.79 tff(2876,plain,
% 2.30/1.79 (~m_main_v_state(s32, c_ready)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2875, 2867, 2858])).
% 2.30/1.79 tff(2877,plain,
% 2.30/1.79 (((~![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)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2878,plain,
% 2.30/1.79 (((~m_main_v_state(s32, c_busy)) | (~always3(s32))) <=> ((~always3(s32)) | (~m_main_v_state(s32, c_busy)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2879,plain,
% 2.30/1.79 (((~![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))))),
% 2.30/1.79 inference(monotonicity,[status(thm)],[2878])).
% 2.30/1.79 tff(2880,plain,
% 2.30/1.79 (((~![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)))),
% 2.30/1.79 inference(transitivity,[status(thm)],[2879, 2877])).
% 2.30/1.79 tff(2881,plain,
% 2.30/1.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s32, c_busy)) | (~always3(s32)))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2882,plain,
% 2.30/1.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s32)) | (~m_main_v_state(s32, c_busy))),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2881, 2880])).
% 2.30/1.79 tff(2883,plain,
% 2.30/1.79 (~m_main_v_state(s32, c_busy)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2882, 145, 2859])).
% 2.30/1.79 tff(2884,plain,
% 2.30/1.79 (((~![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))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2885,plain,
% 2.30/1.79 ((~![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))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2886,plain,
% 2.30/1.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s32, c_busy) | m_main_v_state(s32, c_ready)),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2885, 2884])).
% 2.30/1.79 tff(2887,plain,
% 2.30/1.79 ($false),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2886, 188, 2883, 2876])).
% 2.30/1.79 tff(2888,plain,(~node4(s32)), inference(lemma,lemma(discharge,[]))).
% 2.30/1.79 tff(2889,plain,
% 2.30/1.79 (xuntil6(s32) | (~until5(s32))),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2567, 225, 2888])).
% 2.30/1.79 tff(2890,plain,
% 2.30/1.79 (xuntil6(s32)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2889, 2853])).
% 2.30/1.79 tff(2891,plain,
% 2.30/1.79 (until5(s33)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2555, 2890])).
% 2.30/1.79 tff(2892,assumption,(node4(s33)), introduced(assumption)).
% 2.30/1.79 tff(2893,plain,
% 2.30/1.79 (((~![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)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2894,plain,
% 2.30/1.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s33) | (~node4(s33)))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2895,plain,
% 2.30/1.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s33) | (~node4(s33))),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2894, 2893])).
% 2.30/1.79 tff(2896,plain,
% 2.30/1.79 (m_main_v_request(s33)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2895, 63, 2892])).
% 2.30/1.79 tff(2897,plain,
% 2.30/1.79 (always3(s33)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2542, 113, 2892])).
% 2.30/1.79 tff(2898,plain,
% 2.30/1.79 (always3(s34)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2423, 2897])).
% 2.30/1.79 tff(2899,plain,
% 2.30/1.79 (((~![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)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2900,plain,
% 2.30/1.79 (((~m_main_v_state(s34, c_busy)) | (~always3(s34))) <=> ((~always3(s34)) | (~m_main_v_state(s34, c_busy)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2901,plain,
% 2.30/1.79 (((~![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))))),
% 2.30/1.79 inference(monotonicity,[status(thm)],[2900])).
% 2.30/1.79 tff(2902,plain,
% 2.30/1.79 (((~![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)))),
% 2.30/1.79 inference(transitivity,[status(thm)],[2901, 2899])).
% 2.30/1.79 tff(2903,plain,
% 2.30/1.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s34, c_busy)) | (~always3(s34)))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2904,plain,
% 2.30/1.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s34)) | (~m_main_v_state(s34, c_busy))),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2903, 2902])).
% 2.30/1.79 tff(2905,plain,
% 2.30/1.79 (~m_main_v_state(s34, c_busy)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2904, 145, 2898])).
% 2.30/1.79 tff(2906,plain,
% 2.30/1.79 (~m_main_v_state(s33, c_busy)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2866, 145, 2897])).
% 2.30/1.79 tff(2907,assumption,(~m_main_v_state(s33, c_busy)), introduced(assumption)).
% 2.30/1.79 tff(2908,assumption,(~m_main_v_state(s33, c_ready)), introduced(assumption)).
% 2.30/1.79 tff(2909,plain,
% 2.30/1.79 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s32, s33)) | m_main_v_state(s33, c_busy) | node1(s32) | m_main_v_state(s33, 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(s32, s33)) | m_main_v_state(s33, c_busy) | node1(s32) | m_main_v_state(s33, c_ready))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2910,plain,
% 2.30/1.79 ((node1(s32) | m_main_v_state(s33, c_ready) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy)) <=> ((~node2(s32, s33)) | m_main_v_state(s33, c_busy) | node1(s32) | m_main_v_state(s33, c_ready))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2911,plain,
% 2.30/1.79 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s32) | m_main_v_state(s33, c_ready) | (~node2(s32, s33)) | m_main_v_state(s33, 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(s32, s33)) | m_main_v_state(s33, c_busy) | node1(s32) | m_main_v_state(s33, c_ready)))),
% 2.30/1.79 inference(monotonicity,[status(thm)],[2910])).
% 2.30/1.79 tff(2912,plain,
% 2.30/1.79 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s32) | m_main_v_state(s33, c_ready) | (~node2(s32, s33)) | m_main_v_state(s33, 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(s32, s33)) | m_main_v_state(s33, c_busy) | node1(s32) | m_main_v_state(s33, c_ready))),
% 2.30/1.79 inference(transitivity,[status(thm)],[2911, 2909])).
% 2.30/1.79 tff(2913,plain,
% 2.30/1.79 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s32) | m_main_v_state(s33, c_ready) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2914,plain,
% 2.30/1.79 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy) | node1(s32) | m_main_v_state(s33, c_ready)),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2913, 2912])).
% 2.30/1.79 tff(2915,plain,
% 2.30/1.79 (m_main_v_state(s33, c_busy) | node1(s32) | m_main_v_state(s33, c_ready)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2914, 2250, 2871])).
% 2.30/1.79 tff(2916,plain,
% 2.30/1.79 (node1(s32)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2915, 2907, 2908])).
% 2.30/1.79 tff(2917,plain,
% 2.30/1.79 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s32, c_ready) | (~node1(s32)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s32, c_ready) | (~node1(s32)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2918,plain,
% 2.30/1.79 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s32, c_ready) | (~node1(s32)))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2919,plain,
% 2.30/1.79 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s32, c_ready) | (~node1(s32))),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2918, 2917])).
% 2.30/1.79 tff(2920,plain,
% 2.30/1.79 (m_main_v_state(s32, c_ready)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2919, 2265, 2916])).
% 2.30/1.79 tff(2921,plain,
% 2.30/1.79 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s32) | (~node1(s32)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s32) | (~node1(s32)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2922,plain,
% 2.30/1.79 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s32) | (~node1(s32)))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2923,plain,
% 2.30/1.79 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s32) | (~node1(s32))),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2922, 2921])).
% 2.30/1.79 tff(2924,plain,
% 2.30/1.79 (m_main_v_request(s32)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2923, 2276, 2916])).
% 2.30/1.79 tff(2925,plain,
% 2.30/1.79 ($false),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2875, 2924, 2920, 2907])).
% 2.30/1.79 tff(2926,plain,(m_main_v_state(s33, c_busy) | m_main_v_state(s33, c_ready)), inference(lemma,lemma(discharge,[]))).
% 2.30/1.79 tff(2927,plain,
% 2.30/1.79 (m_main_v_state(s33, c_ready)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2926, 2906])).
% 2.30/1.79 tff(2928,plain,
% 2.30/1.79 (((~![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))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2929,plain,
% 2.30/1.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s33, s34)) | node2(s33, s34))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2930,plain,
% 2.30/1.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s33, s34)) | node2(s33, s34)),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2929, 2928])).
% 2.30/1.79 tff(2931,plain,
% 2.30/1.79 (node2(s33, s34)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2930, 7, 2419])).
% 2.30/1.79 tff(2932,plain,
% 2.30/1.79 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.30/1.79 inference(rewrite,[status(thm)],[])).
% 2.30/1.79 tff(2933,plain,
% 2.30/1.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s33, c_ready)) | (~node2(s33, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33)))),
% 2.30/1.79 inference(quant_inst,[status(thm)],[])).
% 2.30/1.79 tff(2934,plain,
% 2.30/1.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s33, c_ready)) | (~node2(s33, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33))),
% 2.30/1.79 inference(modus_ponens,[status(thm)],[2933, 2932])).
% 2.30/1.79 tff(2935,plain,
% 2.30/1.79 ((~m_main_v_state(s33, c_ready)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33))),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2934, 166, 2931])).
% 2.30/1.79 tff(2936,plain,
% 2.30/1.79 ($false),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2935, 2927, 2905, 2896])).
% 2.30/1.79 tff(2937,plain,(~node4(s33)), inference(lemma,lemma(discharge,[]))).
% 2.30/1.79 tff(2938,plain,
% 2.30/1.79 (xuntil6(s33) | (~until5(s33))),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2549, 225, 2937])).
% 2.30/1.79 tff(2939,plain,
% 2.30/1.79 (xuntil6(s33)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2938, 2891])).
% 2.30/1.79 tff(2940,plain,
% 2.30/1.79 (until5(s34)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2537, 2939])).
% 2.30/1.79 tff(2941,assumption,(until5(s34)), introduced(assumption)).
% 2.30/1.79 tff(2942,assumption,(~xuntil6(s35)), introduced(assumption)).
% 2.30/1.79 tff(2943,assumption,(~always3(s35)), introduced(assumption)).
% 2.30/1.79 tff(2944,plain,
% 2.30/1.79 (~node4(s35)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2506, 113, 2943])).
% 2.30/1.79 tff(2945,plain,
% 2.30/1.79 (node4(s35) | (~until5(s35))),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2513, 225, 2942])).
% 2.30/1.79 tff(2946,plain,
% 2.30/1.79 (~until5(s35)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2945, 2944])).
% 2.30/1.79 tff(2947,plain,
% 2.30/1.79 (~always3(s34)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2411, 2943])).
% 2.30/1.79 tff(2948,plain,
% 2.30/1.79 (~node4(s34)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2524, 113, 2947])).
% 2.30/1.79 tff(2949,plain,
% 2.30/1.79 (xuntil6(s34) | node4(s34)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2531, 225, 2941])).
% 2.30/1.79 tff(2950,plain,
% 2.30/1.79 (xuntil6(s34)),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2949, 2948])).
% 2.30/1.79 tff(2951,plain,
% 2.30/1.79 ($false),
% 2.30/1.79 inference(unit_resolution,[status(thm)],[2519, 2950, 2946])).
% 2.30/1.79 tff(2952,plain,(always3(s35) | (~until5(s34)) | xuntil6(s35)), inference(lemma,lemma(discharge,[]))).
% 2.30/1.80 tff(2953,plain,
% 2.30/1.80 (always3(s35)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2952, 2942, 2941])).
% 2.30/1.80 tff(2954,plain,
% 2.30/1.80 (((~![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)))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(2955,plain,
% 2.30/1.80 (((~m_main_v_state(s35, c_busy)) | (~always3(s35))) <=> ((~always3(s35)) | (~m_main_v_state(s35, c_busy)))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(2956,plain,
% 2.30/1.80 (((~![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))))),
% 2.30/1.80 inference(monotonicity,[status(thm)],[2955])).
% 2.30/1.80 tff(2957,plain,
% 2.30/1.80 (((~![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)))),
% 2.30/1.80 inference(transitivity,[status(thm)],[2956, 2954])).
% 2.30/1.80 tff(2958,plain,
% 2.30/1.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s35, c_busy)) | (~always3(s35)))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(2959,plain,
% 2.30/1.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s35)) | (~m_main_v_state(s35, c_busy))),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[2958, 2957])).
% 2.30/1.80 tff(2960,plain,
% 2.30/1.80 (~m_main_v_state(s35, c_busy)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2959, 145, 2953])).
% 2.30/1.80 tff(2961,plain,
% 2.30/1.80 (always3(s36)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2399, 2953])).
% 2.30/1.80 tff(2962,plain,
% 2.30/1.80 (~m_main_v_state(s36, c_busy)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2793, 145, 2961])).
% 2.30/1.80 tff(2963,plain,
% 2.30/1.80 (((~![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))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(2964,plain,
% 2.30/1.80 ((~![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))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(2965,plain,
% 2.30/1.80 ((~![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)),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[2964, 2963])).
% 2.30/1.80 tff(2966,plain,
% 2.30/1.80 (m_main_v_state(s35, c_ready)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2965, 188, 2960])).
% 2.30/1.80 tff(2967,plain,
% 2.30/1.80 (((~![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))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(2968,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s35, s36)) | node2(s35, s36))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(2969,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s35, s36)) | node2(s35, s36)),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[2968, 2967])).
% 2.30/1.80 tff(2970,plain,
% 2.30/1.80 (node2(s35, s36)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2969, 7, 2395])).
% 2.30/1.80 tff(2971,plain,
% 2.30/1.80 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(2972,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s35, c_ready)) | (~node2(s35, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35)))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(2973,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s35, c_ready)) | (~node2(s35, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35))),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[2972, 2971])).
% 2.30/1.80 tff(2974,plain,
% 2.30/1.80 ((~m_main_v_state(s35, c_ready)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35))),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2973, 166, 2970])).
% 2.30/1.80 tff(2975,plain,
% 2.30/1.80 (~m_main_v_request(s35)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2974, 2966, 2962])).
% 2.30/1.80 tff(2976,plain,
% 2.30/1.80 (((~![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)))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(2977,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s35) | (~node4(s35)))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(2978,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s35) | (~node4(s35))),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[2977, 2976])).
% 2.30/1.80 tff(2979,plain,
% 2.30/1.80 (~node4(s35)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2978, 63, 2975])).
% 2.30/1.80 tff(2980,plain,
% 2.30/1.80 (~until5(s35)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2945, 2979])).
% 2.30/1.80 tff(2981,plain,
% 2.30/1.80 (~xuntil6(s34)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2519, 2980])).
% 2.30/1.80 tff(2982,plain,
% 2.30/1.80 (node4(s34)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2949, 2981])).
% 2.30/1.80 tff(2983,plain,
% 2.30/1.80 (((~![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)))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(2984,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s34) | (~node4(s34)))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(2985,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s34) | (~node4(s34))),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[2984, 2983])).
% 2.30/1.80 tff(2986,plain,
% 2.30/1.80 (m_main_v_request(s34)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2985, 63, 2982])).
% 2.30/1.80 tff(2987,plain,
% 2.30/1.80 (((~![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))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(2988,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s34, s35)) | node2(s34, s35))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(2989,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s34, s35)) | node2(s34, s35)),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[2988, 2987])).
% 2.30/1.80 tff(2990,plain,
% 2.30/1.80 (node2(s34, s35)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2989, 7, 2407])).
% 2.30/1.80 tff(2991,plain,
% 2.30/1.80 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(2992,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s34, c_ready)) | (~node2(s34, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34)))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(2993,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s34, c_ready)) | (~node2(s34, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34))),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[2992, 2991])).
% 2.30/1.80 tff(2994,plain,
% 2.30/1.80 ((~m_main_v_state(s34, c_ready)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34))),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2993, 166, 2990])).
% 2.30/1.80 tff(2995,plain,
% 2.30/1.80 (~m_main_v_state(s34, c_ready)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2994, 2986, 2960])).
% 2.30/1.80 tff(2996,plain,
% 2.30/1.80 (always3(s34)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2524, 113, 2982])).
% 2.30/1.80 tff(2997,plain,
% 2.30/1.80 (~m_main_v_state(s34, c_busy)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2904, 145, 2996])).
% 2.30/1.80 tff(2998,plain,
% 2.30/1.80 (((~![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))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(2999,plain,
% 2.30/1.80 ((~![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))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(3000,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s34, c_busy) | m_main_v_state(s34, c_ready)),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[2999, 2998])).
% 2.30/1.80 tff(3001,plain,
% 2.30/1.80 ($false),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3000, 188, 2997, 2995])).
% 2.30/1.80 tff(3002,plain,(xuntil6(s35) | (~until5(s34))), inference(lemma,lemma(discharge,[]))).
% 2.30/1.80 tff(3003,plain,
% 2.30/1.80 (xuntil6(s35)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3002, 2940])).
% 2.30/1.80 tff(3004,plain,
% 2.30/1.80 (until5(s36)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2501, 3003])).
% 2.30/1.80 tff(3005,plain,
% 2.30/1.80 (xuntil6(s36)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2496, 225, 3004, 2800])).
% 2.30/1.80 tff(3006,plain,
% 2.30/1.80 (until5(s37)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2489, 3005])).
% 2.30/1.80 tff(3007,plain,
% 2.30/1.80 ($false),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2484, 3006, 2771])).
% 2.30/1.80 tff(3008,plain,(always3(s31) | xuntil6(s37) | m_main_v_state(s38, c_busy)), inference(lemma,lemma(discharge,[]))).
% 2.30/1.80 tff(3009,plain,
% 2.30/1.80 (always3(s31)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3008, 2726, 2688])).
% 2.30/1.80 tff(3010,plain,
% 2.30/1.80 (always3(s32)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2447, 3009])).
% 2.30/1.80 tff(3011,plain,
% 2.30/1.80 (~m_main_v_state(s32, c_busy)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2882, 145, 3010])).
% 2.30/1.80 tff(3012,plain,
% 2.30/1.80 (always3(s37)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2661, 2726, 1412])).
% 2.30/1.80 tff(3013,plain,
% 2.30/1.80 (~m_main_v_state(s37, c_busy)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2753, 145, 3012])).
% 2.30/1.80 tff(3014,plain,
% 2.30/1.80 (~node4(s36)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2799, 3013])).
% 2.30/1.80 tff(3015,plain,
% 2.30/1.80 (always3(s33)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2435, 3010])).
% 2.30/1.80 tff(3016,plain,
% 2.30/1.80 (always3(s34)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2423, 3015])).
% 2.30/1.80 tff(3017,plain,
% 2.30/1.80 (always3(s35)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2411, 3016])).
% 2.30/1.80 tff(3018,plain,
% 2.30/1.80 (always3(s36)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2399, 3017])).
% 2.30/1.80 tff(3019,plain,
% 2.30/1.80 (~m_main_v_state(s36, c_busy)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2793, 145, 3018])).
% 2.30/1.80 tff(3020,assumption,(~m_main_v_state(s36, c_busy)), introduced(assumption)).
% 2.30/1.80 tff(3021,assumption,(~m_main_v_state(s36, c_ready)), introduced(assumption)).
% 2.30/1.80 tff(3022,plain,
% 2.30/1.80 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s35, s36)) | m_main_v_state(s36, c_busy) | node1(s35) | m_main_v_state(s36, 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(s35, s36)) | m_main_v_state(s36, c_busy) | node1(s35) | m_main_v_state(s36, c_ready))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3023,plain,
% 2.30/1.80 ((node1(s35) | m_main_v_state(s36, c_ready) | (~node2(s35, s36)) | m_main_v_state(s36, c_busy)) <=> ((~node2(s35, s36)) | m_main_v_state(s36, c_busy) | node1(s35) | m_main_v_state(s36, c_ready))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3024,plain,
% 2.30/1.80 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s35) | m_main_v_state(s36, c_ready) | (~node2(s35, s36)) | m_main_v_state(s36, 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(s35, s36)) | m_main_v_state(s36, c_busy) | node1(s35) | m_main_v_state(s36, c_ready)))),
% 2.30/1.80 inference(monotonicity,[status(thm)],[3023])).
% 2.30/1.80 tff(3025,plain,
% 2.30/1.80 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s35) | m_main_v_state(s36, c_ready) | (~node2(s35, s36)) | m_main_v_state(s36, 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(s35, s36)) | m_main_v_state(s36, c_busy) | node1(s35) | m_main_v_state(s36, c_ready))),
% 2.30/1.80 inference(transitivity,[status(thm)],[3024, 3022])).
% 2.30/1.80 tff(3026,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s35) | m_main_v_state(s36, c_ready) | (~node2(s35, s36)) | m_main_v_state(s36, c_busy))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(3027,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s35, s36)) | m_main_v_state(s36, c_busy) | node1(s35) | m_main_v_state(s36, c_ready)),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[3026, 3025])).
% 2.30/1.80 tff(3028,plain,
% 2.30/1.80 (m_main_v_state(s36, c_busy) | node1(s35) | m_main_v_state(s36, c_ready)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3027, 2250, 2970])).
% 2.30/1.80 tff(3029,plain,
% 2.30/1.80 (node1(s35)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3028, 3020, 3021])).
% 2.30/1.80 tff(3030,plain,
% 2.30/1.80 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s35, c_ready) | (~node1(s35)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s35, c_ready) | (~node1(s35)))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3031,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s35, c_ready) | (~node1(s35)))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(3032,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s35, c_ready) | (~node1(s35))),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[3031, 3030])).
% 2.30/1.80 tff(3033,plain,
% 2.30/1.80 (m_main_v_state(s35, c_ready)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3032, 2265, 3029])).
% 2.30/1.80 tff(3034,plain,
% 2.30/1.80 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s35) | (~node1(s35)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s35) | (~node1(s35)))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3035,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s35) | (~node1(s35)))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(3036,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s35) | (~node1(s35))),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[3035, 3034])).
% 2.30/1.80 tff(3037,plain,
% 2.30/1.80 (m_main_v_request(s35)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3036, 2276, 3029])).
% 2.30/1.80 tff(3038,plain,
% 2.30/1.80 ($false),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2974, 3037, 3033, 3020])).
% 2.30/1.80 tff(3039,plain,(m_main_v_state(s36, c_busy) | m_main_v_state(s36, c_ready)), inference(lemma,lemma(discharge,[]))).
% 2.30/1.80 tff(3040,plain,
% 2.30/1.80 (m_main_v_state(s36, c_ready)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3039, 3019])).
% 2.30/1.80 tff(3041,assumption,(m_main_v_state(s36, c_ready)), introduced(assumption)).
% 2.30/1.80 tff(3042,assumption,(until5(s37)), introduced(assumption)).
% 2.30/1.80 tff(3043,assumption,(~node1(s36)), introduced(assumption)).
% 2.30/1.80 tff(3044,plain,
% 2.30/1.80 (always3(s37)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2661, 2477, 1412])).
% 2.30/1.80 tff(3045,plain,
% 2.30/1.80 (always3(s38)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2375, 3044])).
% 2.30/1.80 tff(3046,plain,
% 2.30/1.80 (~m_main_v_state(s38, c_busy)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2687, 145, 3045])).
% 2.30/1.80 tff(3047,plain,
% 2.30/1.80 (xuntil6(s37) | node4(s37)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2483, 225, 3042])).
% 2.30/1.80 tff(3048,plain,
% 2.30/1.80 (node4(s37)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3047, 2477])).
% 2.30/1.80 tff(3049,plain,
% 2.30/1.80 (m_main_v_request(s37)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2770, 63, 3048])).
% 2.30/1.80 tff(3050,plain,
% 2.30/1.80 (~m_main_v_state(s37, c_ready)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2766, 3049, 3046])).
% 2.30/1.80 tff(3051,plain,
% 2.30/1.80 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s36, s37)) | m_main_v_state(s37, c_busy) | node1(s36) | m_main_v_state(s37, 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(s36, s37)) | m_main_v_state(s37, c_busy) | node1(s36) | m_main_v_state(s37, c_ready))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3052,plain,
% 2.30/1.80 ((node1(s36) | m_main_v_state(s37, c_ready) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy)) <=> ((~node2(s36, s37)) | m_main_v_state(s37, c_busy) | node1(s36) | m_main_v_state(s37, c_ready))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3053,plain,
% 2.30/1.80 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s36) | m_main_v_state(s37, c_ready) | (~node2(s36, s37)) | m_main_v_state(s37, 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(s36, s37)) | m_main_v_state(s37, c_busy) | node1(s36) | m_main_v_state(s37, c_ready)))),
% 2.30/1.80 inference(monotonicity,[status(thm)],[3052])).
% 2.30/1.80 tff(3054,plain,
% 2.30/1.80 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s36) | m_main_v_state(s37, c_ready) | (~node2(s36, s37)) | m_main_v_state(s37, 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(s36, s37)) | m_main_v_state(s37, c_busy) | node1(s36) | m_main_v_state(s37, c_ready))),
% 2.30/1.80 inference(transitivity,[status(thm)],[3053, 3051])).
% 2.30/1.80 tff(3055,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s36) | m_main_v_state(s37, c_ready) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(3056,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | node1(s36) | m_main_v_state(s37, c_ready)),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[3055, 3054])).
% 2.30/1.80 tff(3057,plain,
% 2.30/1.80 (m_main_v_state(s37, c_busy) | node1(s36) | m_main_v_state(s37, c_ready)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3056, 2250, 2781])).
% 2.30/1.80 tff(3058,plain,
% 2.30/1.80 (m_main_v_state(s37, c_busy)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3057, 3050, 3043])).
% 2.30/1.80 tff(3059,plain,
% 2.30/1.80 ($false),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2753, 145, 3044, 3058])).
% 2.30/1.80 tff(3060,plain,(xuntil6(s37) | node1(s36) | (~until5(s37)) | (~until5(s16))), inference(lemma,lemma(discharge,[]))).
% 2.30/1.80 tff(3061,plain,
% 2.30/1.80 (node1(s36)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3060, 2477, 3042, 1412])).
% 2.30/1.80 tff(3062,plain,
% 2.30/1.80 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s36) | (~node1(s36)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s36) | (~node1(s36)))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3063,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s36) | (~node1(s36)))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(3064,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s36) | (~node1(s36))),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[3063, 3062])).
% 2.30/1.80 tff(3065,plain,
% 2.30/1.80 (m_main_v_request(s36)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3064, 2276, 3061])).
% 2.30/1.80 tff(3066,plain,
% 2.30/1.80 (m_main_v_state(s37, c_busy)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2785, 3065, 3041])).
% 2.30/1.80 tff(3067,plain,
% 2.30/1.80 ($false),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2753, 145, 3044, 3066])).
% 2.30/1.80 tff(3068,plain,(xuntil6(s37) | (~m_main_v_state(s36, c_ready)) | (~until5(s37)) | (~until5(s16))), inference(lemma,lemma(discharge,[]))).
% 2.30/1.80 tff(3069,plain,
% 2.30/1.80 (~until5(s37)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3068, 3040, 1412, 2726])).
% 2.30/1.80 tff(3070,plain,
% 2.30/1.80 (~xuntil6(s36)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2489, 3069])).
% 2.30/1.80 tff(3071,plain,
% 2.30/1.80 (~until5(s36)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2496, 225, 3070, 3014])).
% 2.30/1.80 tff(3072,plain,
% 2.30/1.80 (~xuntil6(s35)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2501, 3071])).
% 2.30/1.80 tff(3073,plain,
% 2.30/1.80 (~until5(s34)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3002, 3072])).
% 2.30/1.80 tff(3074,plain,
% 2.30/1.80 (~xuntil6(s33)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2537, 3073])).
% 2.30/1.80 tff(3075,plain,
% 2.30/1.80 (~until5(s33)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2938, 3074])).
% 2.30/1.80 tff(3076,plain,
% 2.30/1.80 (~xuntil6(s32)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2555, 3075])).
% 2.30/1.80 tff(3077,plain,
% 2.30/1.80 (~until5(s32)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2889, 3076])).
% 2.30/1.80 tff(3078,plain,
% 2.30/1.80 (~xuntil6(s31)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2573, 3077])).
% 2.30/1.80 tff(3079,assumption,(until5(s31)), introduced(assumption)).
% 2.30/1.80 tff(3080,plain,
% 2.30/1.80 (xuntil6(s31) | node4(s31)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2585, 225, 3079])).
% 2.30/1.80 tff(3081,plain,
% 2.30/1.80 (node4(s31)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3080, 3078])).
% 2.30/1.80 tff(3082,plain,
% 2.30/1.80 (((~![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)))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3083,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s31) | (~node4(s31)))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(3084,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s31) | (~node4(s31))),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[3083, 3082])).
% 2.30/1.80 tff(3085,plain,
% 2.30/1.80 (m_main_v_request(s31)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3084, 63, 3081])).
% 2.30/1.80 tff(3086,plain,
% 2.30/1.80 (((~![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))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3087,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s31, s32)) | node2(s31, s32))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(3088,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s31, s32)) | node2(s31, s32)),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[3087, 3086])).
% 2.30/1.80 tff(3089,plain,
% 2.30/1.80 (node2(s31, s32)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3088, 7, 2443])).
% 2.30/1.80 tff(3090,plain,
% 2.30/1.80 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3091,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s31, c_ready)) | (~node2(s31, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31)))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(3092,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s31, c_ready)) | (~node2(s31, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31))),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[3091, 3090])).
% 2.30/1.80 tff(3093,plain,
% 2.30/1.80 ((~m_main_v_state(s31, c_ready)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31))),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3092, 166, 3089])).
% 2.30/1.80 tff(3094,plain,
% 2.30/1.80 (~m_main_v_state(s31, c_ready)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3093, 3085, 3011])).
% 2.30/1.80 tff(3095,assumption,(~m_main_v_state(s31, c_busy)), introduced(assumption)).
% 2.30/1.80 tff(3096,assumption,(~m_main_v_state(s31, c_ready)), introduced(assumption)).
% 2.30/1.80 tff(3097,plain,
% 2.30/1.80 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s30, s31)) | m_main_v_state(s31, c_busy) | node1(s30) | m_main_v_state(s31, c_ready))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | node1(s30) | m_main_v_state(s31, c_ready))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3098,plain,
% 2.30/1.80 ((node1(s30) | m_main_v_state(s31, c_ready) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy)) <=> ((~node2(s30, s31)) | m_main_v_state(s31, c_busy) | node1(s30) | m_main_v_state(s31, c_ready))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3099,plain,
% 2.30/1.80 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s30) | m_main_v_state(s31, c_ready) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s30, s31)) | m_main_v_state(s31, c_busy) | node1(s30) | m_main_v_state(s31, c_ready)))),
% 2.30/1.80 inference(monotonicity,[status(thm)],[3098])).
% 2.30/1.80 tff(3100,plain,
% 2.30/1.80 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s30) | m_main_v_state(s31, c_ready) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | node1(s30) | m_main_v_state(s31, c_ready))),
% 2.30/1.80 inference(transitivity,[status(thm)],[3099, 3097])).
% 2.30/1.80 tff(3101,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s30) | m_main_v_state(s31, c_ready) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(3102,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | node1(s30) | m_main_v_state(s31, c_ready)),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[3101, 3100])).
% 2.30/1.80 tff(3103,plain,
% 2.30/1.80 (m_main_v_state(s31, c_busy) | node1(s30) | m_main_v_state(s31, c_ready)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3102, 2250, 2338])).
% 2.30/1.80 tff(3104,plain,
% 2.30/1.80 (node1(s30)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3103, 3095, 3096])).
% 2.30/1.80 tff(3105,plain,
% 2.30/1.80 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s30, c_ready) | (~node1(s30)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s30, c_ready) | (~node1(s30)))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3106,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s30, c_ready) | (~node1(s30)))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(3107,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s30, c_ready) | (~node1(s30))),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[3106, 3105])).
% 2.30/1.80 tff(3108,plain,
% 2.30/1.80 (m_main_v_state(s30, c_ready)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3107, 2265, 3104])).
% 2.30/1.80 tff(3109,plain,
% 2.30/1.80 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s30) | (~node1(s30)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s30) | (~node1(s30)))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3110,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s30) | (~node1(s30)))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(3111,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s30) | (~node1(s30))),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[3110, 3109])).
% 2.30/1.80 tff(3112,plain,
% 2.30/1.80 (m_main_v_request(s30)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3111, 2276, 3104])).
% 2.30/1.80 tff(3113,plain,
% 2.30/1.80 ($false),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2342, 3112, 3108, 3095])).
% 2.30/1.80 tff(3114,plain,(m_main_v_state(s31, c_busy) | m_main_v_state(s31, c_ready)), inference(lemma,lemma(discharge,[]))).
% 2.30/1.80 tff(3115,plain,
% 2.30/1.80 (m_main_v_state(s31, c_busy)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3114, 3094])).
% 2.30/1.80 tff(3116,plain,
% 2.30/1.80 ($false),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[2333, 145, 3009, 3115])).
% 2.30/1.80 tff(3117,plain,(xuntil6(s38) | (~until5(s31)) | (~until5(s16))), inference(lemma,lemma(discharge,[]))).
% 2.30/1.80 tff(3118,plain,
% 2.30/1.80 (xuntil6(s38)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3117, 2362, 1293])).
% 2.30/1.80 tff(3119,plain,
% 2.30/1.80 (((~![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))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3120,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s38, s39)) | (~xuntil6(s38)) | until5(s39))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(3121,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s38, s39)) | (~xuntil6(s38)) | until5(s39)),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[3120, 3119])).
% 2.30/1.80 tff(3122,plain,
% 2.30/1.80 ((~xuntil6(s38)) | until5(s39)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3121, 2691, 243])).
% 2.30/1.80 tff(3123,plain,
% 2.30/1.80 (until5(s39)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3122, 3118])).
% 2.30/1.80 tff(3124,assumption,(node4(s39)), introduced(assumption)).
% 2.30/1.80 tff(3125,plain,
% 2.30/1.80 (((~![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)))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3126,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s39) | (~node4(s39)))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(3127,plain,
% 2.30/1.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s39) | (~node4(s39))),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[3126, 3125])).
% 2.30/1.80 tff(3128,plain,
% 2.30/1.80 (m_main_v_request(s39)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3127, 63, 3124])).
% 2.30/1.80 tff(3129,plain,
% 2.30/1.80 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s39) | (~node4(s39)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s39) | (~node4(s39)))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3130,plain,
% 2.30/1.80 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s39) | (~node4(s39)))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(3131,plain,
% 2.30/1.80 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s39) | (~node4(s39))),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[3130, 3129])).
% 2.30/1.80 tff(3132,plain,
% 2.30/1.80 (always3(s39)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3131, 113, 3124])).
% 2.30/1.80 tff(3133,plain,
% 2.30/1.80 (succ(s39, s40) <=> succ(s39, s40)),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3134,axiom,(succ(s39, s40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound40')).
% 2.30/1.80 tff(3135,plain,
% 2.30/1.80 (succ(s39, s40)),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[3134, 3133])).
% 2.30/1.80 tff(3136,plain,
% 2.30/1.80 (((~![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))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3137,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(3138,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40)),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[3137, 3136])).
% 2.30/1.80 tff(3139,plain,
% 2.30/1.80 (trans(s39, s40)),
% 2.30/1.80 inference(unit_resolution,[status(thm)],[3138, 3135, 21])).
% 2.30/1.80 tff(3140,plain,
% 2.30/1.80 (((~![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))),
% 2.30/1.80 inference(rewrite,[status(thm)],[])).
% 2.30/1.80 tff(3141,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s39, s40)) | (~always3(s39)) | always3(s40))),
% 2.30/1.80 inference(quant_inst,[status(thm)],[])).
% 2.30/1.80 tff(3142,plain,
% 2.30/1.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s39, s40)) | (~always3(s39)) | always3(s40)),
% 2.30/1.80 inference(modus_ponens,[status(thm)],[3141, 3140])).
% 2.30/1.81 tff(3143,plain,
% 2.30/1.81 ((~always3(s39)) | always3(s40)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3142, 38, 3139])).
% 2.30/1.81 tff(3144,plain,
% 2.30/1.81 (always3(s40)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3143, 3132])).
% 2.30/1.81 tff(3145,plain,
% 2.30/1.81 (~m_main_v_state(s40, c_busy)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[177, 145, 3144])).
% 2.30/1.81 tff(3146,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3147,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s39, s40)) | node2(s39, s40))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3148,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s39, s40)) | node2(s39, s40)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3147, 3146])).
% 2.30/1.81 tff(3149,plain,
% 2.30/1.81 (node2(s39, s40)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3148, 7, 3139])).
% 2.30/1.81 tff(3150,plain,
% 2.30/1.81 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3151,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s39, c_ready)) | (~node2(s39, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39)))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3152,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s39, c_ready)) | (~node2(s39, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39))),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3151, 3150])).
% 2.30/1.81 tff(3153,plain,
% 2.30/1.81 ((~m_main_v_state(s39, c_ready)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39))),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3152, 166, 3149])).
% 2.30/1.81 tff(3154,plain,
% 2.30/1.81 (~m_main_v_state(s39, c_ready)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3153, 3145, 3128])).
% 2.30/1.81 tff(3155,plain,
% 2.30/1.81 (~m_main_v_state(s39, c_busy)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[2706, 145, 3132])).
% 2.30/1.81 tff(3156,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3157,plain,
% 2.30/1.81 ((~![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))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3158,plain,
% 2.30/1.81 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s39, c_busy) | m_main_v_state(s39, c_ready)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3157, 3156])).
% 2.30/1.81 tff(3159,plain,
% 2.30/1.81 ($false),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3158, 188, 3155, 3154])).
% 2.30/1.81 tff(3160,plain,(~node4(s39)), inference(lemma,lemma(discharge,[]))).
% 2.30/1.81 tff(3161,plain,
% 2.30/1.81 (((~![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)))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3162,plain,
% 2.30/1.81 ((node4(s39) | (~until5(s39)) | xuntil6(s39)) <=> (xuntil6(s39) | node4(s39) | (~until5(s39)))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3163,plain,
% 2.30/1.81 (((~![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))))),
% 2.30/1.81 inference(monotonicity,[status(thm)],[3162])).
% 2.30/1.81 tff(3164,plain,
% 2.30/1.81 (((~![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)))),
% 2.30/1.81 inference(transitivity,[status(thm)],[3163, 3161])).
% 2.30/1.81 tff(3165,plain,
% 2.30/1.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s39) | (~until5(s39)) | xuntil6(s39))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3166,plain,
% 2.30/1.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s39) | node4(s39) | (~until5(s39))),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3165, 3164])).
% 2.30/1.81 tff(3167,plain,
% 2.30/1.81 (xuntil6(s39) | (~until5(s39))),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3166, 225, 3160])).
% 2.30/1.81 tff(3168,plain,
% 2.30/1.81 (xuntil6(s39)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3167, 3123])).
% 2.30/1.81 tff(3169,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3170,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s39, s40)) | (~xuntil6(s39)) | until5(s40))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3171,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s39, s40)) | (~xuntil6(s39)) | until5(s40)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3170, 3169])).
% 2.30/1.81 tff(3172,plain,
% 2.30/1.81 ((~xuntil6(s39)) | until5(s40)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3171, 3135, 243])).
% 2.30/1.81 tff(3173,plain,
% 2.30/1.81 (until5(s40)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3172, 3168])).
% 2.30/1.81 tff(3174,plain,
% 2.30/1.81 (((~![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)))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3175,plain,
% 2.30/1.81 ((node4(s40) | (~until5(s40)) | xuntil6(s40)) <=> (xuntil6(s40) | node4(s40) | (~until5(s40)))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3176,plain,
% 2.30/1.81 (((~![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))))),
% 2.30/1.81 inference(monotonicity,[status(thm)],[3175])).
% 2.30/1.81 tff(3177,plain,
% 2.30/1.81 (((~![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)))),
% 2.30/1.81 inference(transitivity,[status(thm)],[3176, 3174])).
% 2.30/1.81 tff(3178,plain,
% 2.30/1.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s40) | (~until5(s40)) | xuntil6(s40))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3179,plain,
% 2.30/1.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s40) | node4(s40) | (~until5(s40))),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3178, 3177])).
% 2.30/1.81 tff(3180,plain,
% 2.30/1.81 (xuntil6(s40) | node4(s40)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3179, 225, 3173])).
% 2.30/1.81 tff(3181,plain,
% 2.30/1.81 (xuntil6(s40)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3180, 193])).
% 2.30/1.81 tff(3182,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3183,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s40, s41)) | (~xuntil6(s40)) | until5(s41))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3184,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s40, s41)) | (~xuntil6(s40)) | until5(s41)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3183, 3182])).
% 2.30/1.81 tff(3185,plain,
% 2.30/1.81 ((~xuntil6(s40)) | until5(s41)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3184, 129, 243])).
% 2.30/1.81 tff(3186,plain,
% 2.30/1.81 (until5(s41)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3185, 3181])).
% 2.30/1.81 tff(3187,plain,
% 2.30/1.81 (((~![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)))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3188,plain,
% 2.30/1.81 ((node4(s41) | (~until5(s41)) | xuntil6(s41)) <=> (xuntil6(s41) | node4(s41) | (~until5(s41)))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3189,plain,
% 2.30/1.81 (((~![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))))),
% 2.30/1.81 inference(monotonicity,[status(thm)],[3188])).
% 2.30/1.81 tff(3190,plain,
% 2.30/1.81 (((~![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)))),
% 2.30/1.81 inference(transitivity,[status(thm)],[3189, 3187])).
% 2.30/1.81 tff(3191,plain,
% 2.30/1.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s41) | (~until5(s41)) | xuntil6(s41))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3192,plain,
% 2.30/1.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s41) | node4(s41) | (~until5(s41))),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3191, 3190])).
% 2.30/1.81 tff(3193,plain,
% 2.30/1.81 (xuntil6(s41) | node4(s41)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3192, 225, 3186])).
% 2.30/1.81 tff(3194,plain,
% 2.30/1.81 (xuntil6(s41)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3193, 117])).
% 2.30/1.81 tff(3195,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3196,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s41, s42)) | (~xuntil6(s41)) | until5(s42))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3197,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s41, s42)) | (~xuntil6(s41)) | until5(s42)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3196, 3195])).
% 2.30/1.81 tff(3198,plain,
% 2.30/1.81 ((~xuntil6(s41)) | until5(s42)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3197, 97, 243])).
% 2.30/1.81 tff(3199,plain,
% 2.30/1.81 (until5(s42)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3198, 3194])).
% 2.30/1.81 tff(3200,plain,
% 2.30/1.81 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s42) | (~node4(s42)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s42) | (~node4(s42)))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3201,plain,
% 2.30/1.81 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s42) | (~node4(s42)))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3202,plain,
% 2.30/1.81 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s42) | (~node4(s42))),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3201, 3200])).
% 2.30/1.81 tff(3203,plain,
% 2.30/1.81 (~node4(s42)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3202, 113, 94])).
% 2.30/1.81 tff(3204,plain,
% 2.30/1.81 (((~![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)))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3205,plain,
% 2.30/1.81 ((node4(s42) | (~until5(s42)) | xuntil6(s42)) <=> (xuntil6(s42) | node4(s42) | (~until5(s42)))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3206,plain,
% 2.30/1.81 (((~![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))))),
% 2.30/1.81 inference(monotonicity,[status(thm)],[3205])).
% 2.30/1.81 tff(3207,plain,
% 2.30/1.81 (((~![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)))),
% 2.30/1.81 inference(transitivity,[status(thm)],[3206, 3204])).
% 2.30/1.81 tff(3208,plain,
% 2.30/1.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s42) | (~until5(s42)) | xuntil6(s42))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3209,plain,
% 2.30/1.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s42) | node4(s42) | (~until5(s42))),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3208, 3207])).
% 2.30/1.81 tff(3210,plain,
% 2.30/1.81 (xuntil6(s42)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3209, 225, 3199, 3203])).
% 2.30/1.81 tff(3211,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3212,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s42, s43)) | (~xuntil6(s42)) | until5(s43))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3213,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s42, s43)) | (~xuntil6(s42)) | until5(s43)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3212, 3211])).
% 2.30/1.81 tff(3214,plain,
% 2.30/1.81 ((~xuntil6(s42)) | until5(s43)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3213, 85, 243])).
% 2.30/1.81 tff(3215,plain,
% 2.30/1.81 (until5(s43)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3214, 3210])).
% 2.30/1.81 tff(3216,plain,
% 2.30/1.81 (~always3(s40)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[137, 106])).
% 2.30/1.81 tff(3217,plain,
% 2.30/1.81 (~always3(s39)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3143, 3216])).
% 2.30/1.81 tff(3218,plain,
% 2.30/1.81 (~always3(s38)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[2699, 3217])).
% 2.30/1.81 tff(3219,plain,
% 2.30/1.81 (~always3(s37)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[2375, 3218])).
% 2.30/1.81 tff(3220,plain,
% 2.30/1.81 (~always3(s36)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[2387, 3219])).
% 2.30/1.81 tff(3221,plain,
% 2.30/1.81 (~always3(s35)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[2399, 3220])).
% 2.30/1.81 tff(3222,plain,
% 2.30/1.81 (~always3(s34)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[2411, 3221])).
% 2.30/1.81 tff(3223,plain,
% 2.30/1.81 (~always3(s33)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[2423, 3222])).
% 2.30/1.81 tff(3224,plain,
% 2.30/1.81 (~always3(s32)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[2435, 3223])).
% 2.30/1.81 tff(3225,plain,
% 2.30/1.81 (~always3(s31)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[2447, 3224])).
% 2.30/1.81 tff(3226,plain,
% 2.30/1.81 (~always3(s30)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[2326, 3225])).
% 2.30/1.81 tff(3227,plain,
% 2.30/1.81 (~always3(s29)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[2229, 3226])).
% 2.30/1.81 tff(3228,plain,
% 2.30/1.81 (~always3(s28)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[2173, 3227])).
% 2.30/1.81 tff(3229,plain,
% 2.30/1.81 (~always3(s27)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[2081, 3228])).
% 2.30/1.81 tff(3230,plain,
% 2.30/1.81 (~always3(s26)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[1993, 3229])).
% 2.30/1.81 tff(3231,plain,
% 2.30/1.81 (~always3(s25)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[1873, 3230])).
% 2.30/1.81 tff(3232,plain,
% 2.30/1.81 (~always3(s24)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[1771, 3231])).
% 2.30/1.81 tff(3233,plain,
% 2.30/1.81 (~always3(s23)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[1816, 3232])).
% 2.30/1.81 tff(3234,plain,
% 2.30/1.81 (~always3(s22)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[1557, 3233])).
% 2.30/1.81 tff(3235,plain,
% 2.30/1.81 (~always3(s21)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[1306, 3234])).
% 2.30/1.81 tff(3236,plain,
% 2.30/1.81 (~always3(s20)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[1351, 3235])).
% 2.30/1.81 tff(3237,plain,
% 2.30/1.81 (~always3(s19)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[1363, 3236])).
% 2.30/1.81 tff(3238,plain,
% 2.30/1.81 (~always3(s18)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[1379, 3237])).
% 2.30/1.81 tff(3239,plain,
% 2.30/1.81 (~always3(s17)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[1395, 3238])).
% 2.30/1.81 tff(3240,plain,
% 2.30/1.81 (~always3(s16)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[1407, 3239])).
% 2.30/1.81 tff(3241,plain,
% 2.30/1.81 (~always3(s15)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[654, 3240])).
% 2.30/1.81 tff(3242,plain,
% 2.30/1.81 (~always3(s14)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[206, 3241])).
% 2.30/1.81 tff(3243,plain,
% 2.30/1.81 (~always3(s13)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[271, 3242])).
% 2.30/1.81 tff(3244,plain,
% 2.30/1.81 (~always3(s12)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[300, 3243])).
% 2.30/1.81 tff(3245,plain,
% 2.30/1.81 (~always3(s11)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[329, 3244])).
% 2.30/1.81 tff(3246,plain,
% 2.30/1.81 (~always3(s10)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[358, 3245])).
% 2.30/1.81 tff(3247,plain,
% 2.30/1.81 (~always3(s9)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[387, 3246])).
% 2.30/1.81 tff(3248,plain,
% 2.30/1.81 (~always3(s8)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[416, 3247])).
% 2.30/1.81 tff(3249,plain,
% 2.30/1.81 (~always3(s7)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[440, 3248])).
% 2.30/1.81 tff(3250,plain,
% 2.30/1.81 (~always3(s6)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[452, 3249])).
% 2.30/1.81 tff(3251,plain,
% 2.30/1.81 (~always3(s5)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[464, 3250])).
% 2.30/1.81 tff(3252,assumption,(~always3(s199)), introduced(assumption)).
% 2.30/1.81 tff(3253,plain,
% 2.30/1.81 (succ(s198, s199) <=> succ(s198, s199)),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3254,axiom,(succ(s198, s199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound199')).
% 2.30/1.81 tff(3255,plain,
% 2.30/1.81 (succ(s198, s199)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3254, 3253])).
% 2.30/1.81 tff(3256,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3257,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s198, s199)) | trans(s198, s199))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3258,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s198, s199)) | trans(s198, s199)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3257, 3256])).
% 2.30/1.81 tff(3259,plain,
% 2.30/1.81 (trans(s198, s199)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3258, 3255, 21])).
% 2.30/1.81 tff(3260,plain,
% 2.30/1.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (always3(s199) | (~trans(s198, s199)) | (~always3(s198)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s199) | (~trans(s198, s199)) | (~always3(s198)))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3261,plain,
% 2.30/1.81 (((~trans(s198, s199)) | (~always3(s198)) | always3(s199)) <=> (always3(s199) | (~trans(s198, s199)) | (~always3(s198)))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3262,plain,
% 2.30/1.81 (((~![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))) | (always3(s199) | (~trans(s198, s199)) | (~always3(s198))))),
% 2.30/1.81 inference(monotonicity,[status(thm)],[3261])).
% 2.30/1.81 tff(3263,plain,
% 2.30/1.81 (((~![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))) | always3(s199) | (~trans(s198, s199)) | (~always3(s198)))),
% 2.30/1.81 inference(transitivity,[status(thm)],[3262, 3260])).
% 2.30/1.81 tff(3264,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s198, s199)) | (~always3(s198)) | always3(s199))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3265,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s199) | (~trans(s198, s199)) | (~always3(s198))),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3264, 3263])).
% 2.30/1.81 tff(3266,plain,
% 2.30/1.81 (always3(s199) | (~always3(s198))),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3265, 38, 3259])).
% 2.30/1.81 tff(3267,plain,
% 2.30/1.81 (~always3(s198)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3266, 3252])).
% 2.30/1.81 tff(3268,plain,
% 2.30/1.81 (succ(s197, s198) <=> succ(s197, s198)),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3269,axiom,(succ(s197, s198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound198')).
% 2.30/1.81 tff(3270,plain,
% 2.30/1.81 (succ(s197, s198)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3269, 3268])).
% 2.30/1.81 tff(3271,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3272,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s197, s198)) | trans(s197, s198))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3273,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s197, s198)) | trans(s197, s198)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3272, 3271])).
% 2.30/1.81 tff(3274,plain,
% 2.30/1.81 (trans(s197, s198)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3273, 3270, 21])).
% 2.30/1.81 tff(3275,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3276,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s197, s198)) | (~always3(s197)) | always3(s198))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3277,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s197, s198)) | (~always3(s197)) | always3(s198)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3276, 3275])).
% 2.30/1.81 tff(3278,plain,
% 2.30/1.81 ((~always3(s197)) | always3(s198)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3277, 38, 3274])).
% 2.30/1.81 tff(3279,plain,
% 2.30/1.81 (~always3(s197)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3278, 3267])).
% 2.30/1.81 tff(3280,plain,
% 2.30/1.81 (succ(s196, s197) <=> succ(s196, s197)),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3281,axiom,(succ(s196, s197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound197')).
% 2.30/1.81 tff(3282,plain,
% 2.30/1.81 (succ(s196, s197)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3281, 3280])).
% 2.30/1.81 tff(3283,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3284,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s196, s197)) | trans(s196, s197))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3285,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s196, s197)) | trans(s196, s197)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3284, 3283])).
% 2.30/1.81 tff(3286,plain,
% 2.30/1.81 (trans(s196, s197)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3285, 3282, 21])).
% 2.30/1.81 tff(3287,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3288,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s196, s197)) | (~always3(s196)) | always3(s197))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3289,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s196, s197)) | (~always3(s196)) | always3(s197)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3288, 3287])).
% 2.30/1.81 tff(3290,plain,
% 2.30/1.81 ((~always3(s196)) | always3(s197)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3289, 38, 3286])).
% 2.30/1.81 tff(3291,plain,
% 2.30/1.81 (~always3(s196)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3290, 3279])).
% 2.30/1.81 tff(3292,plain,
% 2.30/1.81 (succ(s195, s196) <=> succ(s195, s196)),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3293,axiom,(succ(s195, s196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound196')).
% 2.30/1.81 tff(3294,plain,
% 2.30/1.81 (succ(s195, s196)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3293, 3292])).
% 2.30/1.81 tff(3295,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3296,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s195, s196)) | trans(s195, s196))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3297,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s195, s196)) | trans(s195, s196)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3296, 3295])).
% 2.30/1.81 tff(3298,plain,
% 2.30/1.81 (trans(s195, s196)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3297, 3294, 21])).
% 2.30/1.81 tff(3299,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3300,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s195, s196)) | (~always3(s195)) | always3(s196))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3301,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s195, s196)) | (~always3(s195)) | always3(s196)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3300, 3299])).
% 2.30/1.81 tff(3302,plain,
% 2.30/1.81 ((~always3(s195)) | always3(s196)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3301, 38, 3298])).
% 2.30/1.81 tff(3303,plain,
% 2.30/1.81 (~always3(s195)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3302, 3291])).
% 2.30/1.81 tff(3304,plain,
% 2.30/1.81 (succ(s194, s195) <=> succ(s194, s195)),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3305,axiom,(succ(s194, s195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound195')).
% 2.30/1.81 tff(3306,plain,
% 2.30/1.81 (succ(s194, s195)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3305, 3304])).
% 2.30/1.81 tff(3307,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3308,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s194, s195)) | trans(s194, s195))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3309,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s194, s195)) | trans(s194, s195)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3308, 3307])).
% 2.30/1.81 tff(3310,plain,
% 2.30/1.81 (trans(s194, s195)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3309, 3306, 21])).
% 2.30/1.81 tff(3311,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3312,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s194, s195)) | (~always3(s194)) | always3(s195))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3313,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s194, s195)) | (~always3(s194)) | always3(s195)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3312, 3311])).
% 2.30/1.81 tff(3314,plain,
% 2.30/1.81 ((~always3(s194)) | always3(s195)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3313, 38, 3310])).
% 2.30/1.81 tff(3315,plain,
% 2.30/1.81 (~always3(s194)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3314, 3303])).
% 2.30/1.81 tff(3316,plain,
% 2.30/1.81 (succ(s193, s194) <=> succ(s193, s194)),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3317,axiom,(succ(s193, s194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound194')).
% 2.30/1.81 tff(3318,plain,
% 2.30/1.81 (succ(s193, s194)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3317, 3316])).
% 2.30/1.81 tff(3319,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3320,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s193, s194)) | trans(s193, s194))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3321,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s193, s194)) | trans(s193, s194)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3320, 3319])).
% 2.30/1.81 tff(3322,plain,
% 2.30/1.81 (trans(s193, s194)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3321, 3318, 21])).
% 2.30/1.81 tff(3323,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3324,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s193, s194)) | (~always3(s193)) | always3(s194))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3325,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s193, s194)) | (~always3(s193)) | always3(s194)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3324, 3323])).
% 2.30/1.81 tff(3326,plain,
% 2.30/1.81 ((~always3(s193)) | always3(s194)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3325, 38, 3322])).
% 2.30/1.81 tff(3327,plain,
% 2.30/1.81 (~always3(s193)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3326, 3315])).
% 2.30/1.81 tff(3328,plain,
% 2.30/1.81 (succ(s192, s193) <=> succ(s192, s193)),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3329,axiom,(succ(s192, s193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound193')).
% 2.30/1.81 tff(3330,plain,
% 2.30/1.81 (succ(s192, s193)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3329, 3328])).
% 2.30/1.81 tff(3331,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3332,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s192, s193)) | trans(s192, s193))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3333,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s192, s193)) | trans(s192, s193)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3332, 3331])).
% 2.30/1.81 tff(3334,plain,
% 2.30/1.81 (trans(s192, s193)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3333, 3330, 21])).
% 2.30/1.81 tff(3335,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3336,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s192, s193)) | (~always3(s192)) | always3(s193))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3337,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s192, s193)) | (~always3(s192)) | always3(s193)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3336, 3335])).
% 2.30/1.81 tff(3338,plain,
% 2.30/1.81 ((~always3(s192)) | always3(s193)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3337, 38, 3334])).
% 2.30/1.81 tff(3339,plain,
% 2.30/1.81 (~always3(s192)),
% 2.30/1.81 inference(unit_resolution,[status(thm)],[3338, 3327])).
% 2.30/1.81 tff(3340,plain,
% 2.30/1.81 (succ(s191, s192) <=> succ(s191, s192)),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3341,axiom,(succ(s191, s192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound192')).
% 2.30/1.81 tff(3342,plain,
% 2.30/1.81 (succ(s191, s192)),
% 2.30/1.81 inference(modus_ponens,[status(thm)],[3341, 3340])).
% 2.30/1.81 tff(3343,plain,
% 2.30/1.81 (((~![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))),
% 2.30/1.81 inference(rewrite,[status(thm)],[])).
% 2.30/1.81 tff(3344,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s191, s192)) | trans(s191, s192))),
% 2.30/1.81 inference(quant_inst,[status(thm)],[])).
% 2.30/1.81 tff(3345,plain,
% 2.30/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s191, s192)) | trans(s191, s192)),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3344, 3343])).
% 2.30/1.82 tff(3346,plain,
% 2.30/1.82 (trans(s191, s192)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3345, 3342, 21])).
% 2.30/1.82 tff(3347,plain,
% 2.30/1.82 (((~![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))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3348,plain,
% 2.30/1.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s191, s192)) | (~always3(s191)) | always3(s192))),
% 2.30/1.82 inference(quant_inst,[status(thm)],[])).
% 2.30/1.82 tff(3349,plain,
% 2.30/1.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s191, s192)) | (~always3(s191)) | always3(s192)),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3348, 3347])).
% 2.30/1.82 tff(3350,plain,
% 2.30/1.82 ((~always3(s191)) | always3(s192)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3349, 38, 3346])).
% 2.30/1.82 tff(3351,plain,
% 2.30/1.82 (~always3(s191)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3350, 3339])).
% 2.30/1.82 tff(3352,plain,
% 2.30/1.82 (succ(s190, s191) <=> succ(s190, s191)),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3353,axiom,(succ(s190, s191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound191')).
% 2.30/1.82 tff(3354,plain,
% 2.30/1.82 (succ(s190, s191)),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3353, 3352])).
% 2.30/1.82 tff(3355,plain,
% 2.30/1.82 (((~![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))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3356,plain,
% 2.30/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s190, s191)) | trans(s190, s191))),
% 2.30/1.82 inference(quant_inst,[status(thm)],[])).
% 2.30/1.82 tff(3357,plain,
% 2.30/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s190, s191)) | trans(s190, s191)),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3356, 3355])).
% 2.30/1.82 tff(3358,plain,
% 2.30/1.82 (trans(s190, s191)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3357, 3354, 21])).
% 2.30/1.82 tff(3359,plain,
% 2.30/1.82 (((~![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))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3360,plain,
% 2.30/1.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s190, s191)) | (~always3(s190)) | always3(s191))),
% 2.30/1.82 inference(quant_inst,[status(thm)],[])).
% 2.30/1.82 tff(3361,plain,
% 2.30/1.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s190, s191)) | (~always3(s190)) | always3(s191)),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3360, 3359])).
% 2.30/1.82 tff(3362,plain,
% 2.30/1.82 ((~always3(s190)) | always3(s191)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3361, 38, 3358])).
% 2.30/1.82 tff(3363,plain,
% 2.30/1.82 (~always3(s190)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3362, 3351])).
% 2.30/1.82 tff(3364,plain,
% 2.30/1.82 (succ(s189, s190) <=> succ(s189, s190)),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3365,axiom,(succ(s189, s190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound190')).
% 2.30/1.82 tff(3366,plain,
% 2.30/1.82 (succ(s189, s190)),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3365, 3364])).
% 2.30/1.82 tff(3367,plain,
% 2.30/1.82 (((~![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))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3368,plain,
% 2.30/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s189, s190)) | trans(s189, s190))),
% 2.30/1.82 inference(quant_inst,[status(thm)],[])).
% 2.30/1.82 tff(3369,plain,
% 2.30/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s189, s190)) | trans(s189, s190)),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3368, 3367])).
% 2.30/1.82 tff(3370,plain,
% 2.30/1.82 (trans(s189, s190)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3369, 3366, 21])).
% 2.30/1.82 tff(3371,plain,
% 2.30/1.82 (((~![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))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3372,plain,
% 2.30/1.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s189, s190)) | (~always3(s189)) | always3(s190))),
% 2.30/1.82 inference(quant_inst,[status(thm)],[])).
% 2.30/1.82 tff(3373,plain,
% 2.30/1.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s189, s190)) | (~always3(s189)) | always3(s190)),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3372, 3371])).
% 2.30/1.82 tff(3374,plain,
% 2.30/1.82 ((~always3(s189)) | always3(s190)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3373, 38, 3370])).
% 2.30/1.82 tff(3375,plain,
% 2.30/1.82 (~always3(s189)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3374, 3363])).
% 2.30/1.82 tff(3376,plain,
% 2.30/1.82 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s189) | (~node4(s189)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s189) | (~node4(s189)))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3377,plain,
% 2.30/1.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s189) | (~node4(s189)))),
% 2.30/1.82 inference(quant_inst,[status(thm)],[])).
% 2.30/1.82 tff(3378,plain,
% 2.30/1.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s189) | (~node4(s189))),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3377, 3376])).
% 2.30/1.82 tff(3379,plain,
% 2.30/1.82 (~node4(s189)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3378, 113, 3375])).
% 2.30/1.82 tff(3380,plain,
% 2.30/1.82 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s191) | (~node4(s191)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s191) | (~node4(s191)))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3381,plain,
% 2.30/1.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s191) | (~node4(s191)))),
% 2.30/1.82 inference(quant_inst,[status(thm)],[])).
% 2.30/1.82 tff(3382,plain,
% 2.30/1.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s191) | (~node4(s191))),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3381, 3380])).
% 2.30/1.82 tff(3383,plain,
% 2.30/1.82 (~node4(s191)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3382, 113, 3351])).
% 2.30/1.82 tff(3384,assumption,(~xuntil6(s199)), introduced(assumption)).
% 2.30/1.82 tff(3385,plain,
% 2.30/1.82 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s197) | (~node4(s197)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s197) | (~node4(s197)))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3386,plain,
% 2.30/1.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s197) | (~node4(s197)))),
% 2.30/1.82 inference(quant_inst,[status(thm)],[])).
% 2.30/1.82 tff(3387,plain,
% 2.30/1.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s197) | (~node4(s197))),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3386, 3385])).
% 2.30/1.82 tff(3388,plain,
% 2.30/1.82 (~node4(s197)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3387, 113, 3279])).
% 2.30/1.82 tff(3389,assumption,(until5(s193)), introduced(assumption)).
% 2.30/1.82 tff(3390,assumption,(~always3(s195)), introduced(assumption)).
% 2.30/1.82 tff(3391,plain,
% 2.30/1.82 (~always3(s194)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3314, 3390])).
% 2.30/1.82 tff(3392,plain,
% 2.30/1.82 (~always3(s193)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3326, 3391])).
% 2.30/1.82 tff(3393,plain,
% 2.30/1.82 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s193) | (~node4(s193)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s193) | (~node4(s193)))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3394,plain,
% 2.30/1.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s193) | (~node4(s193)))),
% 2.30/1.82 inference(quant_inst,[status(thm)],[])).
% 2.30/1.82 tff(3395,plain,
% 2.30/1.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s193) | (~node4(s193))),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3394, 3393])).
% 2.30/1.82 tff(3396,plain,
% 2.30/1.82 (~node4(s193)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3395, 113, 3392])).
% 2.30/1.82 tff(3397,plain,
% 2.30/1.82 (((~![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)))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3398,plain,
% 2.30/1.82 ((node4(s193) | (~until5(s193)) | xuntil6(s193)) <=> (xuntil6(s193) | node4(s193) | (~until5(s193)))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3399,plain,
% 2.30/1.82 (((~![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))))),
% 2.30/1.82 inference(monotonicity,[status(thm)],[3398])).
% 2.30/1.82 tff(3400,plain,
% 2.30/1.82 (((~![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)))),
% 2.30/1.82 inference(transitivity,[status(thm)],[3399, 3397])).
% 2.30/1.82 tff(3401,plain,
% 2.30/1.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s193) | (~until5(s193)) | xuntil6(s193))),
% 2.30/1.82 inference(quant_inst,[status(thm)],[])).
% 2.30/1.82 tff(3402,plain,
% 2.30/1.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s193) | node4(s193) | (~until5(s193))),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3401, 3400])).
% 2.30/1.82 tff(3403,plain,
% 2.30/1.82 (xuntil6(s193) | node4(s193)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3402, 225, 3389])).
% 2.30/1.82 tff(3404,plain,
% 2.30/1.82 (xuntil6(s193)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3403, 3396])).
% 2.30/1.82 tff(3405,plain,
% 2.30/1.82 (((~![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))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3406,plain,
% 2.30/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s193, s194)) | (~xuntil6(s193)) | until5(s194))),
% 2.30/1.82 inference(quant_inst,[status(thm)],[])).
% 2.30/1.82 tff(3407,plain,
% 2.30/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s193, s194)) | (~xuntil6(s193)) | until5(s194)),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3406, 3405])).
% 2.30/1.82 tff(3408,plain,
% 2.30/1.82 ((~xuntil6(s193)) | until5(s194)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3407, 3318, 243])).
% 2.30/1.82 tff(3409,plain,
% 2.30/1.82 (until5(s194)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3408, 3404])).
% 2.30/1.82 tff(3410,assumption,(node4(s194)), introduced(assumption)).
% 2.30/1.82 tff(3411,plain,
% 2.30/1.82 (((~![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)))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3412,plain,
% 2.30/1.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s194) | (~node4(s194)))),
% 2.30/1.82 inference(quant_inst,[status(thm)],[])).
% 2.30/1.82 tff(3413,plain,
% 2.30/1.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s194) | (~node4(s194))),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3412, 3411])).
% 2.30/1.82 tff(3414,plain,
% 2.30/1.82 (m_main_v_request(s194)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3413, 63, 3410])).
% 2.30/1.82 tff(3415,plain,
% 2.30/1.82 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s194) | (~node4(s194)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s194) | (~node4(s194)))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3416,plain,
% 2.30/1.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s194) | (~node4(s194)))),
% 2.30/1.82 inference(quant_inst,[status(thm)],[])).
% 2.30/1.82 tff(3417,plain,
% 2.30/1.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s194) | (~node4(s194))),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3416, 3415])).
% 2.30/1.82 tff(3418,plain,
% 2.30/1.82 (always3(s194)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3417, 113, 3410])).
% 2.30/1.82 tff(3419,plain,
% 2.30/1.82 (always3(s195)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3314, 3418])).
% 2.30/1.82 tff(3420,plain,
% 2.30/1.82 (((~![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)))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3421,plain,
% 2.30/1.82 (((~m_main_v_state(s195, c_busy)) | (~always3(s195))) <=> ((~always3(s195)) | (~m_main_v_state(s195, c_busy)))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3422,plain,
% 2.30/1.82 (((~![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))))),
% 2.30/1.82 inference(monotonicity,[status(thm)],[3421])).
% 2.30/1.82 tff(3423,plain,
% 2.30/1.82 (((~![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)))),
% 2.30/1.82 inference(transitivity,[status(thm)],[3422, 3420])).
% 2.30/1.82 tff(3424,plain,
% 2.30/1.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s195, c_busy)) | (~always3(s195)))),
% 2.30/1.82 inference(quant_inst,[status(thm)],[])).
% 2.30/1.82 tff(3425,plain,
% 2.30/1.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s195)) | (~m_main_v_state(s195, c_busy))),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3424, 3423])).
% 2.30/1.82 tff(3426,plain,
% 2.30/1.82 (~m_main_v_state(s195, c_busy)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3425, 145, 3419])).
% 2.30/1.82 tff(3427,plain,
% 2.30/1.82 (((~![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))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3428,plain,
% 2.30/1.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s194, s195)) | node2(s194, s195))),
% 2.30/1.82 inference(quant_inst,[status(thm)],[])).
% 2.30/1.82 tff(3429,plain,
% 2.30/1.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s194, s195)) | node2(s194, s195)),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3428, 3427])).
% 2.30/1.82 tff(3430,plain,
% 2.30/1.82 (node2(s194, s195)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3429, 7, 3310])).
% 2.30/1.82 tff(3431,plain,
% 2.30/1.82 (((~![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(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)))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3432,plain,
% 2.30/1.82 ((~![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(s194, c_ready)) | (~node2(s194, s195)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s194)))),
% 2.30/1.82 inference(quant_inst,[status(thm)],[])).
% 2.30/1.82 tff(3433,plain,
% 2.30/1.82 ((~![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(s194, c_ready)) | (~node2(s194, s195)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s194))),
% 2.30/1.82 inference(modus_ponens,[status(thm)],[3432, 3431])).
% 2.30/1.82 tff(3434,plain,
% 2.30/1.82 ((~m_main_v_state(s194, c_ready)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s194))),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3433, 166, 3430])).
% 2.30/1.82 tff(3435,plain,
% 2.30/1.82 (~m_main_v_state(s194, c_ready)),
% 2.30/1.82 inference(unit_resolution,[status(thm)],[3434, 3426, 3414])).
% 2.30/1.82 tff(3436,plain,
% 2.30/1.82 (((~![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)))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3437,plain,
% 2.30/1.82 (((~m_main_v_state(s194, c_busy)) | (~always3(s194))) <=> ((~always3(s194)) | (~m_main_v_state(s194, c_busy)))),
% 2.30/1.82 inference(rewrite,[status(thm)],[])).
% 2.30/1.82 tff(3438,plain,
% 2.30/1.82 (((~![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))))),
% 2.35/1.82 inference(monotonicity,[status(thm)],[3437])).
% 2.35/1.82 tff(3439,plain,
% 2.35/1.82 (((~![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)))),
% 2.35/1.82 inference(transitivity,[status(thm)],[3438, 3436])).
% 2.35/1.82 tff(3440,plain,
% 2.35/1.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s194, c_busy)) | (~always3(s194)))),
% 2.35/1.82 inference(quant_inst,[status(thm)],[])).
% 2.35/1.82 tff(3441,plain,
% 2.35/1.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s194)) | (~m_main_v_state(s194, c_busy))),
% 2.35/1.82 inference(modus_ponens,[status(thm)],[3440, 3439])).
% 2.35/1.82 tff(3442,plain,
% 2.35/1.82 (~m_main_v_state(s194, c_busy)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3441, 145, 3418])).
% 2.35/1.82 tff(3443,plain,
% 2.35/1.82 (((~![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))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3444,plain,
% 2.35/1.82 ((~![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))),
% 2.35/1.82 inference(quant_inst,[status(thm)],[])).
% 2.35/1.82 tff(3445,plain,
% 2.35/1.82 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s194, c_busy) | m_main_v_state(s194, c_ready)),
% 2.35/1.82 inference(modus_ponens,[status(thm)],[3444, 3443])).
% 2.35/1.82 tff(3446,plain,
% 2.35/1.82 ($false),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3445, 188, 3442, 3435])).
% 2.35/1.82 tff(3447,plain,(~node4(s194)), inference(lemma,lemma(discharge,[]))).
% 2.35/1.82 tff(3448,plain,
% 2.35/1.82 (((~![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)))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3449,plain,
% 2.35/1.82 ((node4(s194) | (~until5(s194)) | xuntil6(s194)) <=> (xuntil6(s194) | node4(s194) | (~until5(s194)))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3450,plain,
% 2.35/1.82 (((~![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))))),
% 2.35/1.82 inference(monotonicity,[status(thm)],[3449])).
% 2.35/1.82 tff(3451,plain,
% 2.35/1.82 (((~![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)))),
% 2.35/1.82 inference(transitivity,[status(thm)],[3450, 3448])).
% 2.35/1.82 tff(3452,plain,
% 2.35/1.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s194) | (~until5(s194)) | xuntil6(s194))),
% 2.35/1.82 inference(quant_inst,[status(thm)],[])).
% 2.35/1.82 tff(3453,plain,
% 2.35/1.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s194) | node4(s194) | (~until5(s194))),
% 2.35/1.82 inference(modus_ponens,[status(thm)],[3452, 3451])).
% 2.35/1.82 tff(3454,plain,
% 2.35/1.82 (xuntil6(s194) | (~until5(s194))),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3453, 225, 3447])).
% 2.35/1.82 tff(3455,plain,
% 2.35/1.82 (xuntil6(s194)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3454, 3409])).
% 2.35/1.82 tff(3456,plain,
% 2.35/1.82 (((~![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))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3457,plain,
% 2.35/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s194, s195)) | (~xuntil6(s194)) | until5(s195))),
% 2.35/1.82 inference(quant_inst,[status(thm)],[])).
% 2.35/1.82 tff(3458,plain,
% 2.35/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s194, s195)) | (~xuntil6(s194)) | until5(s195)),
% 2.35/1.82 inference(modus_ponens,[status(thm)],[3457, 3456])).
% 2.35/1.82 tff(3459,plain,
% 2.35/1.82 ((~xuntil6(s194)) | until5(s195)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3458, 3306, 243])).
% 2.35/1.82 tff(3460,plain,
% 2.35/1.82 (until5(s195)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3459, 3455])).
% 2.35/1.82 tff(3461,assumption,(~xuntil6(s195)), introduced(assumption)).
% 2.35/1.82 tff(3462,plain,
% 2.35/1.82 (((~![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)))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3463,plain,
% 2.35/1.82 ((node4(s195) | (~until5(s195)) | xuntil6(s195)) <=> (xuntil6(s195) | node4(s195) | (~until5(s195)))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3464,plain,
% 2.35/1.82 (((~![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))))),
% 2.35/1.82 inference(monotonicity,[status(thm)],[3463])).
% 2.35/1.82 tff(3465,plain,
% 2.35/1.82 (((~![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)))),
% 2.35/1.82 inference(transitivity,[status(thm)],[3464, 3462])).
% 2.35/1.82 tff(3466,plain,
% 2.35/1.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s195) | (~until5(s195)) | xuntil6(s195))),
% 2.35/1.82 inference(quant_inst,[status(thm)],[])).
% 2.35/1.82 tff(3467,plain,
% 2.35/1.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s195) | node4(s195) | (~until5(s195))),
% 2.35/1.82 inference(modus_ponens,[status(thm)],[3466, 3465])).
% 2.35/1.82 tff(3468,plain,
% 2.35/1.82 (node4(s195) | (~until5(s195))),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3467, 225, 3461])).
% 2.35/1.82 tff(3469,plain,
% 2.35/1.82 (node4(s195)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3468, 3460])).
% 2.35/1.82 tff(3470,plain,
% 2.35/1.82 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s195) | (~node4(s195)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s195) | (~node4(s195)))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3471,plain,
% 2.35/1.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s195) | (~node4(s195)))),
% 2.35/1.82 inference(quant_inst,[status(thm)],[])).
% 2.35/1.82 tff(3472,plain,
% 2.35/1.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s195) | (~node4(s195))),
% 2.35/1.82 inference(modus_ponens,[status(thm)],[3471, 3470])).
% 2.35/1.82 tff(3473,plain,
% 2.35/1.82 ($false),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3472, 113, 3390, 3469])).
% 2.35/1.82 tff(3474,plain,(always3(s195) | xuntil6(s195) | (~until5(s193))), inference(lemma,lemma(discharge,[]))).
% 2.35/1.82 tff(3475,plain,
% 2.35/1.82 (xuntil6(s195)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3474, 3303, 3389])).
% 2.35/1.82 tff(3476,plain,
% 2.35/1.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s195, s196)) | (~xuntil6(s195)) | until5(s196))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s195, s196)) | (~xuntil6(s195)) | until5(s196))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3477,plain,
% 2.35/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s195, s196)) | (~xuntil6(s195)) | until5(s196))),
% 2.35/1.82 inference(quant_inst,[status(thm)],[])).
% 2.35/1.82 tff(3478,plain,
% 2.35/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s195, s196)) | (~xuntil6(s195)) | until5(s196)),
% 2.35/1.82 inference(modus_ponens,[status(thm)],[3477, 3476])).
% 2.35/1.82 tff(3479,plain,
% 2.35/1.82 ((~xuntil6(s195)) | until5(s196)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3478, 3294, 243])).
% 2.35/1.82 tff(3480,plain,
% 2.35/1.82 (until5(s196)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3479, 3475])).
% 2.35/1.82 tff(3481,assumption,(node4(s196)), introduced(assumption)).
% 2.35/1.82 tff(3482,plain,
% 2.35/1.82 (((~![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)))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3483,plain,
% 2.35/1.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s196) | (~node4(s196)))),
% 2.35/1.82 inference(quant_inst,[status(thm)],[])).
% 2.35/1.82 tff(3484,plain,
% 2.35/1.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s196) | (~node4(s196))),
% 2.35/1.82 inference(modus_ponens,[status(thm)],[3483, 3482])).
% 2.35/1.82 tff(3485,plain,
% 2.35/1.82 (m_main_v_request(s196)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3484, 63, 3481])).
% 2.35/1.82 tff(3486,plain,
% 2.35/1.82 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s196) | (~node4(s196)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s196) | (~node4(s196)))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3487,plain,
% 2.35/1.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s196) | (~node4(s196)))),
% 2.35/1.82 inference(quant_inst,[status(thm)],[])).
% 2.35/1.82 tff(3488,plain,
% 2.35/1.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s196) | (~node4(s196))),
% 2.35/1.82 inference(modus_ponens,[status(thm)],[3487, 3486])).
% 2.35/1.82 tff(3489,plain,
% 2.35/1.82 (always3(s196)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3488, 113, 3481])).
% 2.35/1.82 tff(3490,plain,
% 2.35/1.82 (always3(s197)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3290, 3489])).
% 2.35/1.82 tff(3491,plain,
% 2.35/1.82 (((~![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)))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3492,plain,
% 2.35/1.82 (((~m_main_v_state(s197, c_busy)) | (~always3(s197))) <=> ((~always3(s197)) | (~m_main_v_state(s197, c_busy)))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3493,plain,
% 2.35/1.82 (((~![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))))),
% 2.35/1.82 inference(monotonicity,[status(thm)],[3492])).
% 2.35/1.82 tff(3494,plain,
% 2.35/1.82 (((~![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)))),
% 2.35/1.82 inference(transitivity,[status(thm)],[3493, 3491])).
% 2.35/1.82 tff(3495,plain,
% 2.35/1.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s197, c_busy)) | (~always3(s197)))),
% 2.35/1.82 inference(quant_inst,[status(thm)],[])).
% 2.35/1.82 tff(3496,plain,
% 2.35/1.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s197)) | (~m_main_v_state(s197, c_busy))),
% 2.35/1.82 inference(modus_ponens,[status(thm)],[3495, 3494])).
% 2.35/1.82 tff(3497,plain,
% 2.35/1.82 (~m_main_v_state(s197, c_busy)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3496, 145, 3490])).
% 2.35/1.82 tff(3498,plain,
% 2.35/1.82 (((~![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))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3499,plain,
% 2.35/1.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s196, s197)) | node2(s196, s197))),
% 2.35/1.82 inference(quant_inst,[status(thm)],[])).
% 2.35/1.82 tff(3500,plain,
% 2.35/1.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s196, s197)) | node2(s196, s197)),
% 2.35/1.82 inference(modus_ponens,[status(thm)],[3499, 3498])).
% 2.35/1.82 tff(3501,plain,
% 2.35/1.82 (node2(s196, s197)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3500, 7, 3286])).
% 2.35/1.82 tff(3502,plain,
% 2.35/1.82 (((~![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(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)))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3503,plain,
% 2.35/1.82 ((~![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(s196, c_ready)) | (~node2(s196, s197)) | m_main_v_state(s197, c_busy) | (~m_main_v_request(s196)))),
% 2.35/1.82 inference(quant_inst,[status(thm)],[])).
% 2.35/1.82 tff(3504,plain,
% 2.35/1.82 ((~![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(s196, c_ready)) | (~node2(s196, s197)) | m_main_v_state(s197, c_busy) | (~m_main_v_request(s196))),
% 2.35/1.82 inference(modus_ponens,[status(thm)],[3503, 3502])).
% 2.35/1.82 tff(3505,plain,
% 2.35/1.82 ((~m_main_v_state(s196, c_ready)) | m_main_v_state(s197, c_busy) | (~m_main_v_request(s196))),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3504, 166, 3501])).
% 2.35/1.82 tff(3506,plain,
% 2.35/1.82 (~m_main_v_state(s196, c_ready)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3505, 3497, 3485])).
% 2.35/1.82 tff(3507,plain,
% 2.35/1.82 (((~![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)))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3508,plain,
% 2.35/1.82 (((~m_main_v_state(s196, c_busy)) | (~always3(s196))) <=> ((~always3(s196)) | (~m_main_v_state(s196, c_busy)))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3509,plain,
% 2.35/1.82 (((~![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))))),
% 2.35/1.82 inference(monotonicity,[status(thm)],[3508])).
% 2.35/1.82 tff(3510,plain,
% 2.35/1.82 (((~![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)))),
% 2.35/1.82 inference(transitivity,[status(thm)],[3509, 3507])).
% 2.35/1.82 tff(3511,plain,
% 2.35/1.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s196, c_busy)) | (~always3(s196)))),
% 2.35/1.82 inference(quant_inst,[status(thm)],[])).
% 2.35/1.82 tff(3512,plain,
% 2.35/1.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s196)) | (~m_main_v_state(s196, c_busy))),
% 2.35/1.82 inference(modus_ponens,[status(thm)],[3511, 3510])).
% 2.35/1.82 tff(3513,plain,
% 2.35/1.82 (~m_main_v_state(s196, c_busy)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3512, 145, 3489])).
% 2.35/1.82 tff(3514,plain,
% 2.35/1.82 (((~![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))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3515,plain,
% 2.35/1.82 ((~![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))),
% 2.35/1.82 inference(quant_inst,[status(thm)],[])).
% 2.35/1.82 tff(3516,plain,
% 2.35/1.82 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s196, c_busy) | m_main_v_state(s196, c_ready)),
% 2.35/1.82 inference(modus_ponens,[status(thm)],[3515, 3514])).
% 2.35/1.82 tff(3517,plain,
% 2.35/1.82 ($false),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3516, 188, 3513, 3506])).
% 2.35/1.82 tff(3518,plain,(~node4(s196)), inference(lemma,lemma(discharge,[]))).
% 2.35/1.82 tff(3519,plain,
% 2.35/1.82 (((~![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)))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3520,plain,
% 2.35/1.82 ((node4(s196) | (~until5(s196)) | xuntil6(s196)) <=> (xuntil6(s196) | node4(s196) | (~until5(s196)))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3521,plain,
% 2.35/1.82 (((~![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))))),
% 2.35/1.82 inference(monotonicity,[status(thm)],[3520])).
% 2.35/1.82 tff(3522,plain,
% 2.35/1.82 (((~![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)))),
% 2.35/1.82 inference(transitivity,[status(thm)],[3521, 3519])).
% 2.35/1.82 tff(3523,plain,
% 2.35/1.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s196) | (~until5(s196)) | xuntil6(s196))),
% 2.35/1.82 inference(quant_inst,[status(thm)],[])).
% 2.35/1.82 tff(3524,plain,
% 2.35/1.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s196) | node4(s196) | (~until5(s196))),
% 2.35/1.82 inference(modus_ponens,[status(thm)],[3523, 3522])).
% 2.35/1.82 tff(3525,plain,
% 2.35/1.82 (xuntil6(s196) | (~until5(s196))),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3524, 225, 3518])).
% 2.35/1.82 tff(3526,plain,
% 2.35/1.82 (xuntil6(s196)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3525, 3480])).
% 2.35/1.82 tff(3527,plain,
% 2.35/1.82 (((~![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))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3528,plain,
% 2.35/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s196, s197)) | (~xuntil6(s196)) | until5(s197))),
% 2.35/1.82 inference(quant_inst,[status(thm)],[])).
% 2.35/1.82 tff(3529,plain,
% 2.35/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s196, s197)) | (~xuntil6(s196)) | until5(s197)),
% 2.35/1.82 inference(modus_ponens,[status(thm)],[3528, 3527])).
% 2.35/1.82 tff(3530,plain,
% 2.35/1.82 ((~xuntil6(s196)) | until5(s197)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3529, 3282, 243])).
% 2.35/1.82 tff(3531,plain,
% 2.35/1.82 (until5(s197)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3530, 3526])).
% 2.35/1.82 tff(3532,plain,
% 2.35/1.82 (((~![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)))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3533,plain,
% 2.35/1.82 ((node4(s197) | (~until5(s197)) | xuntil6(s197)) <=> (xuntil6(s197) | node4(s197) | (~until5(s197)))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3534,plain,
% 2.35/1.82 (((~![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))))),
% 2.35/1.82 inference(monotonicity,[status(thm)],[3533])).
% 2.35/1.82 tff(3535,plain,
% 2.35/1.82 (((~![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)))),
% 2.35/1.82 inference(transitivity,[status(thm)],[3534, 3532])).
% 2.35/1.82 tff(3536,plain,
% 2.35/1.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s197) | (~until5(s197)) | xuntil6(s197))),
% 2.35/1.82 inference(quant_inst,[status(thm)],[])).
% 2.35/1.82 tff(3537,plain,
% 2.35/1.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s197) | node4(s197) | (~until5(s197))),
% 2.35/1.82 inference(modus_ponens,[status(thm)],[3536, 3535])).
% 2.35/1.82 tff(3538,plain,
% 2.35/1.82 (xuntil6(s197) | node4(s197)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3537, 225, 3531])).
% 2.35/1.82 tff(3539,plain,
% 2.35/1.82 (xuntil6(s197)),
% 2.35/1.82 inference(unit_resolution,[status(thm)],[3538, 3388])).
% 2.35/1.82 tff(3540,plain,
% 2.35/1.82 (((~![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))),
% 2.35/1.82 inference(rewrite,[status(thm)],[])).
% 2.35/1.82 tff(3541,plain,
% 2.35/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s197, s198)) | (~xuntil6(s197)) | until5(s198))),
% 2.35/1.82 inference(quant_inst,[status(thm)],[])).
% 2.35/1.82 tff(3542,plain,
% 2.35/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s197, s198)) | (~xuntil6(s197)) | until5(s198)),
% 2.35/1.82 inference(modus_ponens,[status(thm)],[3541, 3540])).
% 2.35/1.82 tff(3543,plain,
% 2.35/1.82 ((~xuntil6(s197)) | until5(s198)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3542, 3270, 243])).
% 2.35/1.83 tff(3544,plain,
% 2.35/1.83 (until5(s198)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3543, 3539])).
% 2.35/1.83 tff(3545,assumption,(node4(s198)), introduced(assumption)).
% 2.35/1.83 tff(3546,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3547,plain,
% 2.35/1.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s198) | (~node4(s198)))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3548,plain,
% 2.35/1.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s198) | (~node4(s198))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3547, 3546])).
% 2.35/1.83 tff(3549,plain,
% 2.35/1.83 (m_main_v_request(s198)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3548, 63, 3545])).
% 2.35/1.83 tff(3550,plain,
% 2.35/1.83 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s198) | (~node4(s198)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s198) | (~node4(s198)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3551,plain,
% 2.35/1.83 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s198) | (~node4(s198)))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3552,plain,
% 2.35/1.83 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s198) | (~node4(s198))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3551, 3550])).
% 2.35/1.83 tff(3553,plain,
% 2.35/1.83 (always3(s198)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3552, 113, 3545])).
% 2.35/1.83 tff(3554,plain,
% 2.35/1.83 (always3(s199)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3266, 3553])).
% 2.35/1.83 tff(3555,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3556,plain,
% 2.35/1.83 (((~m_main_v_state(s199, c_busy)) | (~always3(s199))) <=> ((~always3(s199)) | (~m_main_v_state(s199, c_busy)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3557,plain,
% 2.35/1.83 (((~![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))))),
% 2.35/1.83 inference(monotonicity,[status(thm)],[3556])).
% 2.35/1.83 tff(3558,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(transitivity,[status(thm)],[3557, 3555])).
% 2.35/1.83 tff(3559,plain,
% 2.35/1.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s199, c_busy)) | (~always3(s199)))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3560,plain,
% 2.35/1.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s199)) | (~m_main_v_state(s199, c_busy))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3559, 3558])).
% 2.35/1.83 tff(3561,plain,
% 2.35/1.83 (~m_main_v_state(s199, c_busy)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3560, 145, 3554])).
% 2.35/1.83 tff(3562,plain,
% 2.35/1.83 (((~![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))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3563,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s198, s199)) | node2(s198, s199))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3564,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s198, s199)) | node2(s198, s199)),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3563, 3562])).
% 2.35/1.83 tff(3565,plain,
% 2.35/1.83 (node2(s198, s199)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3564, 7, 3259])).
% 2.35/1.83 tff(3566,plain,
% 2.35/1.83 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3567,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3568,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3567, 3566])).
% 2.35/1.83 tff(3569,plain,
% 2.35/1.83 ((~m_main_v_state(s198, c_ready)) | m_main_v_state(s199, c_busy) | (~m_main_v_request(s198))),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3568, 166, 3565])).
% 2.35/1.83 tff(3570,plain,
% 2.35/1.83 (~m_main_v_state(s198, c_ready)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3569, 3561, 3549])).
% 2.35/1.83 tff(3571,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3572,plain,
% 2.35/1.83 (((~m_main_v_state(s198, c_busy)) | (~always3(s198))) <=> ((~always3(s198)) | (~m_main_v_state(s198, c_busy)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3573,plain,
% 2.35/1.83 (((~![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))))),
% 2.35/1.83 inference(monotonicity,[status(thm)],[3572])).
% 2.35/1.83 tff(3574,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(transitivity,[status(thm)],[3573, 3571])).
% 2.35/1.83 tff(3575,plain,
% 2.35/1.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s198, c_busy)) | (~always3(s198)))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3576,plain,
% 2.35/1.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s198)) | (~m_main_v_state(s198, c_busy))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3575, 3574])).
% 2.35/1.83 tff(3577,plain,
% 2.35/1.83 (~m_main_v_state(s198, c_busy)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3576, 145, 3553])).
% 2.35/1.83 tff(3578,plain,
% 2.35/1.83 (((~![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))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3579,plain,
% 2.35/1.83 ((~![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))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3580,plain,
% 2.35/1.83 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s198, c_busy) | m_main_v_state(s198, c_ready)),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3579, 3578])).
% 2.35/1.83 tff(3581,plain,
% 2.35/1.83 ($false),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3580, 188, 3577, 3570])).
% 2.35/1.83 tff(3582,plain,(~node4(s198)), inference(lemma,lemma(discharge,[]))).
% 2.35/1.83 tff(3583,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3584,plain,
% 2.35/1.83 ((node4(s198) | (~until5(s198)) | xuntil6(s198)) <=> (xuntil6(s198) | node4(s198) | (~until5(s198)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3585,plain,
% 2.35/1.83 (((~![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))))),
% 2.35/1.83 inference(monotonicity,[status(thm)],[3584])).
% 2.35/1.83 tff(3586,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(transitivity,[status(thm)],[3585, 3583])).
% 2.35/1.83 tff(3587,plain,
% 2.35/1.83 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s198) | (~until5(s198)) | xuntil6(s198))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3588,plain,
% 2.35/1.83 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s198) | node4(s198) | (~until5(s198))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3587, 3586])).
% 2.35/1.83 tff(3589,plain,
% 2.35/1.83 (xuntil6(s198) | (~until5(s198))),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3588, 225, 3582])).
% 2.35/1.83 tff(3590,plain,
% 2.35/1.83 (xuntil6(s198)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3589, 3544])).
% 2.35/1.83 tff(3591,plain,
% 2.35/1.83 (((~![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))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3592,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s198, s199)) | (~xuntil6(s198)) | until5(s199))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3593,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s198, s199)) | (~xuntil6(s198)) | until5(s199)),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3592, 3591])).
% 2.35/1.83 tff(3594,plain,
% 2.35/1.83 ((~xuntil6(s198)) | until5(s199)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3593, 3255, 243])).
% 2.35/1.83 tff(3595,plain,
% 2.35/1.83 (until5(s199)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3594, 3590])).
% 2.35/1.83 tff(3596,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3597,plain,
% 2.35/1.83 ((node4(s199) | (~until5(s199)) | xuntil6(s199)) <=> (xuntil6(s199) | node4(s199) | (~until5(s199)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3598,plain,
% 2.35/1.83 (((~![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))))),
% 2.35/1.83 inference(monotonicity,[status(thm)],[3597])).
% 2.35/1.83 tff(3599,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(transitivity,[status(thm)],[3598, 3596])).
% 2.35/1.83 tff(3600,plain,
% 2.35/1.83 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s199) | (~until5(s199)) | xuntil6(s199))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3601,plain,
% 2.35/1.83 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s199) | node4(s199) | (~until5(s199))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3600, 3599])).
% 2.35/1.83 tff(3602,plain,
% 2.35/1.83 (node4(s199)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3601, 225, 3595, 3384])).
% 2.35/1.83 tff(3603,plain,
% 2.35/1.83 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s199) | (~node4(s199)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s199) | (~node4(s199)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3604,plain,
% 2.35/1.83 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s199) | (~node4(s199)))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3605,plain,
% 2.35/1.83 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s199) | (~node4(s199))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3604, 3603])).
% 2.35/1.83 tff(3606,plain,
% 2.35/1.83 ($false),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3605, 113, 3252, 3602])).
% 2.35/1.83 tff(3607,plain,(always3(s199) | xuntil6(s199) | (~until5(s193))), inference(lemma,lemma(discharge,[]))).
% 2.35/1.83 tff(3608,plain,
% 2.35/1.83 (~until5(s193)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3607, 3252, 3384])).
% 2.35/1.83 tff(3609,plain,
% 2.35/1.83 (((~![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))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3610,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s192, s193)) | (~xuntil6(s192)) | until5(s193))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3611,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s192, s193)) | (~xuntil6(s192)) | until5(s193)),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3610, 3609])).
% 2.35/1.83 tff(3612,plain,
% 2.35/1.83 ((~xuntil6(s192)) | until5(s193)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3611, 3330, 243])).
% 2.35/1.83 tff(3613,plain,
% 2.35/1.83 (~xuntil6(s192)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3612, 3608])).
% 2.35/1.83 tff(3614,assumption,(node4(s192)), introduced(assumption)).
% 2.35/1.83 tff(3615,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3616,plain,
% 2.35/1.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s192) | (~node4(s192)))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3617,plain,
% 2.35/1.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s192) | (~node4(s192))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3616, 3615])).
% 2.35/1.83 tff(3618,plain,
% 2.35/1.83 (m_main_v_request(s192)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3617, 63, 3614])).
% 2.35/1.83 tff(3619,plain,
% 2.35/1.83 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s192) | (~node4(s192)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s192) | (~node4(s192)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3620,plain,
% 2.35/1.83 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s192) | (~node4(s192)))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3621,plain,
% 2.35/1.83 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s192) | (~node4(s192))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3620, 3619])).
% 2.35/1.83 tff(3622,plain,
% 2.35/1.83 (always3(s192)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3621, 113, 3614])).
% 2.35/1.83 tff(3623,plain,
% 2.35/1.83 (always3(s193)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3338, 3622])).
% 2.35/1.83 tff(3624,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3625,plain,
% 2.35/1.83 (((~m_main_v_state(s193, c_busy)) | (~always3(s193))) <=> ((~always3(s193)) | (~m_main_v_state(s193, c_busy)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3626,plain,
% 2.35/1.83 (((~![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))))),
% 2.35/1.83 inference(monotonicity,[status(thm)],[3625])).
% 2.35/1.83 tff(3627,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(transitivity,[status(thm)],[3626, 3624])).
% 2.35/1.83 tff(3628,plain,
% 2.35/1.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s193, c_busy)) | (~always3(s193)))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3629,plain,
% 2.35/1.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s193)) | (~m_main_v_state(s193, c_busy))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3628, 3627])).
% 2.35/1.83 tff(3630,plain,
% 2.35/1.83 (~m_main_v_state(s193, c_busy)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3629, 145, 3623])).
% 2.35/1.83 tff(3631,plain,
% 2.35/1.83 (((~![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))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3632,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s192, s193)) | node2(s192, s193))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3633,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s192, s193)) | node2(s192, s193)),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3632, 3631])).
% 2.35/1.83 tff(3634,plain,
% 2.35/1.83 (node2(s192, s193)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3633, 7, 3334])).
% 2.35/1.83 tff(3635,plain,
% 2.35/1.83 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3636,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3637,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3636, 3635])).
% 2.35/1.83 tff(3638,plain,
% 2.35/1.83 ((~m_main_v_state(s192, c_ready)) | m_main_v_state(s193, c_busy) | (~m_main_v_request(s192))),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3637, 166, 3634])).
% 2.35/1.83 tff(3639,plain,
% 2.35/1.83 (~m_main_v_state(s192, c_ready)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3638, 3630, 3618])).
% 2.35/1.83 tff(3640,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3641,plain,
% 2.35/1.83 (((~m_main_v_state(s192, c_busy)) | (~always3(s192))) <=> ((~always3(s192)) | (~m_main_v_state(s192, c_busy)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3642,plain,
% 2.35/1.83 (((~![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))))),
% 2.35/1.83 inference(monotonicity,[status(thm)],[3641])).
% 2.35/1.83 tff(3643,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(transitivity,[status(thm)],[3642, 3640])).
% 2.35/1.83 tff(3644,plain,
% 2.35/1.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s192, c_busy)) | (~always3(s192)))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3645,plain,
% 2.35/1.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s192)) | (~m_main_v_state(s192, c_busy))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3644, 3643])).
% 2.35/1.83 tff(3646,plain,
% 2.35/1.83 (~m_main_v_state(s192, c_busy)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3645, 145, 3622])).
% 2.35/1.83 tff(3647,plain,
% 2.35/1.83 (((~![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))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3648,plain,
% 2.35/1.83 ((~![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))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3649,plain,
% 2.35/1.83 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s192, c_busy) | m_main_v_state(s192, c_ready)),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3648, 3647])).
% 2.35/1.83 tff(3650,plain,
% 2.35/1.83 ($false),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3649, 188, 3646, 3639])).
% 2.35/1.83 tff(3651,plain,(~node4(s192)), inference(lemma,lemma(discharge,[]))).
% 2.35/1.83 tff(3652,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3653,plain,
% 2.35/1.83 ((node4(s192) | (~until5(s192)) | xuntil6(s192)) <=> (xuntil6(s192) | node4(s192) | (~until5(s192)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3654,plain,
% 2.35/1.83 (((~![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))))),
% 2.35/1.83 inference(monotonicity,[status(thm)],[3653])).
% 2.35/1.83 tff(3655,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(transitivity,[status(thm)],[3654, 3652])).
% 2.35/1.83 tff(3656,plain,
% 2.35/1.83 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s192) | (~until5(s192)) | xuntil6(s192))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3657,plain,
% 2.35/1.83 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s192) | node4(s192) | (~until5(s192))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3656, 3655])).
% 2.35/1.83 tff(3658,plain,
% 2.35/1.83 (xuntil6(s192) | (~until5(s192))),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3657, 225, 3651])).
% 2.35/1.83 tff(3659,plain,
% 2.35/1.83 (~until5(s192)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3658, 3613])).
% 2.35/1.83 tff(3660,plain,
% 2.35/1.83 (((~![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))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3661,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s191, s192)) | (~xuntil6(s191)) | until5(s192))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3662,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s191, s192)) | (~xuntil6(s191)) | until5(s192)),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3661, 3660])).
% 2.35/1.83 tff(3663,plain,
% 2.35/1.83 ((~xuntil6(s191)) | until5(s192)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3662, 3342, 243])).
% 2.35/1.83 tff(3664,plain,
% 2.35/1.83 (~xuntil6(s191)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3663, 3659])).
% 2.35/1.83 tff(3665,plain,
% 2.35/1.83 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s191) | node4(s191) | (~until5(s191)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s191) | node4(s191) | (~until5(s191)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3666,plain,
% 2.35/1.83 ((node4(s191) | (~until5(s191)) | xuntil6(s191)) <=> (xuntil6(s191) | node4(s191) | (~until5(s191)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3667,plain,
% 2.35/1.83 (((~![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))))),
% 2.35/1.83 inference(monotonicity,[status(thm)],[3666])).
% 2.35/1.83 tff(3668,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(transitivity,[status(thm)],[3667, 3665])).
% 2.35/1.83 tff(3669,plain,
% 2.35/1.83 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s191) | (~until5(s191)) | xuntil6(s191))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3670,plain,
% 2.35/1.83 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s191) | node4(s191) | (~until5(s191))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3669, 3668])).
% 2.35/1.83 tff(3671,plain,
% 2.35/1.83 (node4(s191) | (~until5(s191))),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3670, 225, 3664])).
% 2.35/1.83 tff(3672,plain,
% 2.35/1.83 (~until5(s191)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3671, 3383])).
% 2.35/1.83 tff(3673,plain,
% 2.35/1.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s190, s191)) | (~xuntil6(s190)) | until5(s191))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s190, s191)) | (~xuntil6(s190)) | until5(s191))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3674,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s190, s191)) | (~xuntil6(s190)) | until5(s191))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3675,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s190, s191)) | (~xuntil6(s190)) | until5(s191)),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3674, 3673])).
% 2.35/1.83 tff(3676,plain,
% 2.35/1.83 ((~xuntil6(s190)) | until5(s191)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3675, 3354, 243])).
% 2.35/1.83 tff(3677,plain,
% 2.35/1.83 (~xuntil6(s190)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3676, 3672])).
% 2.35/1.83 tff(3678,assumption,(node4(s190)), introduced(assumption)).
% 2.35/1.83 tff(3679,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3680,plain,
% 2.35/1.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s190) | (~node4(s190)))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3681,plain,
% 2.35/1.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s190) | (~node4(s190))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3680, 3679])).
% 2.35/1.83 tff(3682,plain,
% 2.35/1.83 (m_main_v_request(s190)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3681, 63, 3678])).
% 2.35/1.83 tff(3683,plain,
% 2.35/1.83 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s190) | (~node4(s190)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s190) | (~node4(s190)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3684,plain,
% 2.35/1.83 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s190) | (~node4(s190)))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3685,plain,
% 2.35/1.83 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s190) | (~node4(s190))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3684, 3683])).
% 2.35/1.83 tff(3686,plain,
% 2.35/1.83 (always3(s190)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3685, 113, 3678])).
% 2.35/1.83 tff(3687,plain,
% 2.35/1.83 (always3(s191)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3362, 3686])).
% 2.35/1.83 tff(3688,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3689,plain,
% 2.35/1.83 (((~m_main_v_state(s191, c_busy)) | (~always3(s191))) <=> ((~always3(s191)) | (~m_main_v_state(s191, c_busy)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3690,plain,
% 2.35/1.83 (((~![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))))),
% 2.35/1.83 inference(monotonicity,[status(thm)],[3689])).
% 2.35/1.83 tff(3691,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(transitivity,[status(thm)],[3690, 3688])).
% 2.35/1.83 tff(3692,plain,
% 2.35/1.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s191, c_busy)) | (~always3(s191)))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3693,plain,
% 2.35/1.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s191)) | (~m_main_v_state(s191, c_busy))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3692, 3691])).
% 2.35/1.83 tff(3694,plain,
% 2.35/1.83 (~m_main_v_state(s191, c_busy)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3693, 145, 3687])).
% 2.35/1.83 tff(3695,plain,
% 2.35/1.83 (((~![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))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3696,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s190, s191)) | node2(s190, s191))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3697,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s190, s191)) | node2(s190, s191)),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3696, 3695])).
% 2.35/1.83 tff(3698,plain,
% 2.35/1.83 (node2(s190, s191)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3697, 7, 3358])).
% 2.35/1.83 tff(3699,plain,
% 2.35/1.83 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3700,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 2.35/1.83 inference(quant_inst,[status(thm)],[])).
% 2.35/1.83 tff(3701,plain,
% 2.35/1.83 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 2.35/1.83 inference(modus_ponens,[status(thm)],[3700, 3699])).
% 2.35/1.83 tff(3702,plain,
% 2.35/1.83 ((~m_main_v_state(s190, c_ready)) | m_main_v_state(s191, c_busy) | (~m_main_v_request(s190))),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3701, 166, 3698])).
% 2.35/1.83 tff(3703,plain,
% 2.35/1.83 (~m_main_v_state(s190, c_ready)),
% 2.35/1.83 inference(unit_resolution,[status(thm)],[3702, 3694, 3682])).
% 2.35/1.83 tff(3704,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3705,plain,
% 2.35/1.83 (((~m_main_v_state(s190, c_busy)) | (~always3(s190))) <=> ((~always3(s190)) | (~m_main_v_state(s190, c_busy)))),
% 2.35/1.83 inference(rewrite,[status(thm)],[])).
% 2.35/1.83 tff(3706,plain,
% 2.35/1.83 (((~![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))))),
% 2.35/1.83 inference(monotonicity,[status(thm)],[3705])).
% 2.35/1.83 tff(3707,plain,
% 2.35/1.83 (((~![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)))),
% 2.35/1.84 inference(transitivity,[status(thm)],[3706, 3704])).
% 2.35/1.84 tff(3708,plain,
% 2.35/1.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s190, c_busy)) | (~always3(s190)))),
% 2.35/1.84 inference(quant_inst,[status(thm)],[])).
% 2.35/1.84 tff(3709,plain,
% 2.35/1.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s190)) | (~m_main_v_state(s190, c_busy))),
% 2.35/1.84 inference(modus_ponens,[status(thm)],[3708, 3707])).
% 2.35/1.84 tff(3710,plain,
% 2.35/1.84 (~m_main_v_state(s190, c_busy)),
% 2.35/1.84 inference(unit_resolution,[status(thm)],[3709, 145, 3686])).
% 2.35/1.84 tff(3711,plain,
% 2.35/1.84 (((~![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))),
% 2.35/1.84 inference(rewrite,[status(thm)],[])).
% 2.35/1.84 tff(3712,plain,
% 2.35/1.84 ((~![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))),
% 2.35/1.84 inference(quant_inst,[status(thm)],[])).
% 2.35/1.84 tff(3713,plain,
% 2.35/1.84 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s190, c_busy) | m_main_v_state(s190, c_ready)),
% 2.35/1.84 inference(modus_ponens,[status(thm)],[3712, 3711])).
% 2.35/1.84 tff(3714,plain,
% 2.35/1.84 ($false),
% 2.35/1.84 inference(unit_resolution,[status(thm)],[3713, 188, 3710, 3703])).
% 2.35/1.84 tff(3715,plain,(~node4(s190)), inference(lemma,lemma(discharge,[]))).
% 2.35/1.84 tff(3716,plain,
% 2.35/1.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s190) | node4(s190) | (~until5(s190)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s190) | node4(s190) | (~until5(s190)))),
% 2.35/1.84 inference(rewrite,[status(thm)],[])).
% 2.35/1.84 tff(3717,plain,
% 2.35/1.84 ((node4(s190) | (~until5(s190)) | xuntil6(s190)) <=> (xuntil6(s190) | node4(s190) | (~until5(s190)))),
% 2.35/1.84 inference(rewrite,[status(thm)],[])).
% 2.35/1.84 tff(3718,plain,
% 2.35/1.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s190) | (~until5(s190)) | xuntil6(s190))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s190) | node4(s190) | (~until5(s190))))),
% 2.35/1.84 inference(monotonicity,[status(thm)],[3717])).
% 2.35/1.84 tff(3719,plain,
% 2.35/1.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s190) | (~until5(s190)) | xuntil6(s190))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s190) | node4(s190) | (~until5(s190)))),
% 2.35/1.84 inference(transitivity,[status(thm)],[3718, 3716])).
% 2.35/1.84 tff(3720,plain,
% 2.35/1.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s190) | (~until5(s190)) | xuntil6(s190))),
% 2.35/1.84 inference(quant_inst,[status(thm)],[])).
% 2.35/1.84 tff(3721,plain,
% 2.35/1.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s190) | node4(s190) | (~until5(s190))),
% 2.35/1.84 inference(modus_ponens,[status(thm)],[3720, 3719])).
% 2.35/1.84 tff(3722,plain,
% 2.35/1.84 (xuntil6(s190) | (~until5(s190))),
% 2.35/1.84 inference(unit_resolution,[status(thm)],[3721, 225, 3715])).
% 2.35/1.84 tff(3723,plain,
% 2.35/1.84 (~until5(s190)),
% 2.35/1.84 inference(unit_resolution,[status(thm)],[3722, 3677])).
% 2.35/1.84 tff(3724,plain,
% 2.35/1.84 (((~![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))),
% 2.35/1.84 inference(rewrite,[status(thm)],[])).
% 2.35/1.84 tff(3725,plain,
% 2.35/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s189, s190)) | (~xuntil6(s189)) | until5(s190))),
% 2.35/1.84 inference(quant_inst,[status(thm)],[])).
% 2.35/1.84 tff(3726,plain,
% 2.35/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s189, s190)) | (~xuntil6(s189)) | until5(s190)),
% 2.35/1.84 inference(modus_ponens,[status(thm)],[3725, 3724])).
% 2.35/1.84 tff(3727,plain,
% 2.35/1.84 ((~xuntil6(s189)) | until5(s190)),
% 2.35/1.84 inference(unit_resolution,[status(thm)],[3726, 3366, 243])).
% 2.35/1.84 tff(3728,plain,
% 2.35/1.84 (~xuntil6(s189)),
% 2.35/1.84 inference(unit_resolution,[status(thm)],[3727, 3723])).
% 2.35/1.84 tff(3729,plain,
% 2.35/1.84 (((~![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)))),
% 2.35/1.84 inference(rewrite,[status(thm)],[])).
% 2.35/1.84 tff(3730,plain,
% 2.35/1.84 ((node4(s189) | (~until5(s189)) | xuntil6(s189)) <=> (xuntil6(s189) | node4(s189) | (~until5(s189)))),
% 2.35/1.84 inference(rewrite,[status(thm)],[])).
% 2.35/1.84 tff(3731,plain,
% 2.35/1.84 (((~![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))))),
% 2.35/1.84 inference(monotonicity,[status(thm)],[3730])).
% 2.35/1.84 tff(3732,plain,
% 2.35/1.84 (((~![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)))),
% 2.35/1.84 inference(transitivity,[status(thm)],[3731, 3729])).
% 2.35/1.84 tff(3733,plain,
% 2.35/1.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s189) | (~until5(s189)) | xuntil6(s189))),
% 2.35/1.84 inference(quant_inst,[status(thm)],[])).
% 2.35/1.84 tff(3734,plain,
% 2.35/1.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s189) | node4(s189) | (~until5(s189))),
% 2.35/1.84 inference(modus_ponens,[status(thm)],[3733, 3732])).
% 2.35/1.84 tff(3735,plain,
% 2.35/1.84 (~until5(s189)),
% 2.35/1.84 inference(unit_resolution,[status(thm)],[3734, 225, 3728, 3379])).
% 2.35/1.84 tff(3736,plain,
% 2.35/1.84 (succ(s188, s189) <=> succ(s188, s189)),
% 2.35/1.84 inference(rewrite,[status(thm)],[])).
% 2.35/1.84 tff(3737,axiom,(succ(s188, s189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound189')).
% 2.35/1.84 tff(3738,plain,
% 2.35/1.84 (succ(s188, s189)),
% 2.35/1.84 inference(modus_ponens,[status(thm)],[3737, 3736])).
% 2.35/1.84 tff(3739,plain,
% 2.35/1.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s188, s189)) | (~xuntil6(s188)) | until5(s189))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s188, s189)) | (~xuntil6(s188)) | until5(s189))),
% 2.35/1.84 inference(rewrite,[status(thm)],[])).
% 2.35/1.84 tff(3740,plain,
% 2.35/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s188, s189)) | (~xuntil6(s188)) | until5(s189))),
% 2.35/1.84 inference(quant_inst,[status(thm)],[])).
% 2.35/1.84 tff(3741,plain,
% 2.35/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s188, s189)) | (~xuntil6(s188)) | until5(s189)),
% 2.35/1.84 inference(modus_ponens,[status(thm)],[3740, 3739])).
% 2.35/1.84 tff(3742,plain,
% 2.35/1.84 ((~xuntil6(s188)) | until5(s189)),
% 2.35/1.84 inference(unit_resolution,[status(thm)],[3741, 3738, 243])).
% 2.35/1.84 tff(3743,plain,
% 2.35/1.84 (~xuntil6(s188)),
% 2.35/1.84 inference(unit_resolution,[status(thm)],[3742, 3735])).
% 2.35/1.84 tff(3744,assumption,(node4(s188)), introduced(assumption)).
% 2.35/1.84 tff(3745,plain,
% 2.35/1.84 (((~![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)))),
% 2.35/1.84 inference(rewrite,[status(thm)],[])).
% 2.35/1.84 tff(3746,plain,
% 2.35/1.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s188) | (~node4(s188)))),
% 2.35/1.84 inference(quant_inst,[status(thm)],[])).
% 2.35/1.84 tff(3747,plain,
% 2.35/1.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s188) | (~node4(s188))),
% 2.35/1.84 inference(modus_ponens,[status(thm)],[3746, 3745])).
% 2.35/1.84 tff(3748,plain,
% 2.35/1.84 (m_main_v_request(s188)),
% 2.35/1.84 inference(unit_resolution,[status(thm)],[3747, 63, 3744])).
% 2.35/1.84 tff(3749,plain,
% 2.35/1.84 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s188) | (~node4(s188)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s188) | (~node4(s188)))),
% 2.35/1.84 inference(rewrite,[status(thm)],[])).
% 2.35/1.84 tff(3750,plain,
% 2.35/1.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s188) | (~node4(s188)))),
% 2.35/1.84 inference(quant_inst,[status(thm)],[])).
% 2.35/1.84 tff(3751,plain,
% 2.35/1.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s188) | (~node4(s188))),
% 2.35/1.84 inference(modus_ponens,[status(thm)],[3750, 3749])).
% 2.35/1.84 tff(3752,plain,
% 2.35/1.84 (always3(s188)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3751, 113, 3744])).
% 2.36/1.84 tff(3753,plain,
% 2.36/1.84 (((~![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))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3754,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s188, s189)) | trans(s188, s189))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3755,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s188, s189)) | trans(s188, s189)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3754, 3753])).
% 2.36/1.84 tff(3756,plain,
% 2.36/1.84 (trans(s188, s189)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3755, 3738, 21])).
% 2.36/1.84 tff(3757,plain,
% 2.36/1.84 (((~![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))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3758,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s188, s189)) | (~always3(s188)) | always3(s189))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3759,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s188, s189)) | (~always3(s188)) | always3(s189)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3758, 3757])).
% 2.36/1.84 tff(3760,plain,
% 2.36/1.84 ((~always3(s188)) | always3(s189)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3759, 38, 3756])).
% 2.36/1.84 tff(3761,plain,
% 2.36/1.84 (always3(s189)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3760, 3752])).
% 2.36/1.84 tff(3762,plain,
% 2.36/1.84 (((~![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)))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3763,plain,
% 2.36/1.84 (((~m_main_v_state(s189, c_busy)) | (~always3(s189))) <=> ((~always3(s189)) | (~m_main_v_state(s189, c_busy)))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3764,plain,
% 2.36/1.84 (((~![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))))),
% 2.36/1.84 inference(monotonicity,[status(thm)],[3763])).
% 2.36/1.84 tff(3765,plain,
% 2.36/1.84 (((~![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)))),
% 2.36/1.84 inference(transitivity,[status(thm)],[3764, 3762])).
% 2.36/1.84 tff(3766,plain,
% 2.36/1.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s189, c_busy)) | (~always3(s189)))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3767,plain,
% 2.36/1.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s189)) | (~m_main_v_state(s189, c_busy))),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3766, 3765])).
% 2.36/1.84 tff(3768,plain,
% 2.36/1.84 (~m_main_v_state(s189, c_busy)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3767, 145, 3761])).
% 2.36/1.84 tff(3769,plain,
% 2.36/1.84 (((~![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))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3770,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s188, s189)) | node2(s188, s189))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3771,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s188, s189)) | node2(s188, s189)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3770, 3769])).
% 2.36/1.84 tff(3772,plain,
% 2.36/1.84 (node2(s188, s189)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3771, 7, 3756])).
% 2.36/1.84 tff(3773,plain,
% 2.36/1.84 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3774,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s188, c_ready)) | (~node2(s188, s189)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s188)))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3775,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s188, c_ready)) | (~node2(s188, s189)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s188))),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3774, 3773])).
% 2.36/1.84 tff(3776,plain,
% 2.36/1.84 ((~m_main_v_state(s188, c_ready)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s188))),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3775, 166, 3772])).
% 2.36/1.84 tff(3777,plain,
% 2.36/1.84 (~m_main_v_state(s188, c_ready)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3776, 3768, 3748])).
% 2.36/1.84 tff(3778,plain,
% 2.36/1.84 (((~![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)))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3779,plain,
% 2.36/1.84 (((~m_main_v_state(s188, c_busy)) | (~always3(s188))) <=> ((~always3(s188)) | (~m_main_v_state(s188, c_busy)))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3780,plain,
% 2.36/1.84 (((~![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))))),
% 2.36/1.84 inference(monotonicity,[status(thm)],[3779])).
% 2.36/1.84 tff(3781,plain,
% 2.36/1.84 (((~![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)))),
% 2.36/1.84 inference(transitivity,[status(thm)],[3780, 3778])).
% 2.36/1.84 tff(3782,plain,
% 2.36/1.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s188, c_busy)) | (~always3(s188)))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3783,plain,
% 2.36/1.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s188)) | (~m_main_v_state(s188, c_busy))),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3782, 3781])).
% 2.36/1.84 tff(3784,plain,
% 2.36/1.84 (~m_main_v_state(s188, c_busy)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3783, 145, 3752])).
% 2.36/1.84 tff(3785,plain,
% 2.36/1.84 (((~![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))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3786,plain,
% 2.36/1.84 ((~![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))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3787,plain,
% 2.36/1.84 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s188, c_busy) | m_main_v_state(s188, c_ready)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3786, 3785])).
% 2.36/1.84 tff(3788,plain,
% 2.36/1.84 ($false),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3787, 188, 3784, 3777])).
% 2.36/1.84 tff(3789,plain,(~node4(s188)), inference(lemma,lemma(discharge,[]))).
% 2.36/1.84 tff(3790,plain,
% 2.36/1.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s188) | node4(s188) | (~until5(s188)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s188) | node4(s188) | (~until5(s188)))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3791,plain,
% 2.36/1.84 ((node4(s188) | (~until5(s188)) | xuntil6(s188)) <=> (xuntil6(s188) | node4(s188) | (~until5(s188)))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3792,plain,
% 2.36/1.84 (((~![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))))),
% 2.36/1.84 inference(monotonicity,[status(thm)],[3791])).
% 2.36/1.84 tff(3793,plain,
% 2.36/1.84 (((~![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)))),
% 2.36/1.84 inference(transitivity,[status(thm)],[3792, 3790])).
% 2.36/1.84 tff(3794,plain,
% 2.36/1.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s188) | (~until5(s188)) | xuntil6(s188))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3795,plain,
% 2.36/1.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s188) | node4(s188) | (~until5(s188))),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3794, 3793])).
% 2.36/1.84 tff(3796,plain,
% 2.36/1.84 (xuntil6(s188) | (~until5(s188))),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3795, 225, 3789])).
% 2.36/1.84 tff(3797,plain,
% 2.36/1.84 (~until5(s188)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3796, 3743])).
% 2.36/1.84 tff(3798,plain,
% 2.36/1.84 (~always3(s188)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3760, 3375])).
% 2.36/1.84 tff(3799,plain,
% 2.36/1.84 (succ(s187, s188) <=> succ(s187, s188)),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3800,axiom,(succ(s187, s188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound188')).
% 2.36/1.84 tff(3801,plain,
% 2.36/1.84 (succ(s187, s188)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3800, 3799])).
% 2.36/1.84 tff(3802,plain,
% 2.36/1.84 (((~![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))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3803,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s187, s188)) | trans(s187, s188))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3804,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s187, s188)) | trans(s187, s188)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3803, 3802])).
% 2.36/1.84 tff(3805,plain,
% 2.36/1.84 (trans(s187, s188)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3804, 3801, 21])).
% 2.36/1.84 tff(3806,plain,
% 2.36/1.84 (((~![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))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3807,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s187, s188)) | (~always3(s187)) | always3(s188))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3808,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s187, s188)) | (~always3(s187)) | always3(s188)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3807, 3806])).
% 2.36/1.84 tff(3809,plain,
% 2.36/1.84 ((~always3(s187)) | always3(s188)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3808, 38, 3805])).
% 2.36/1.84 tff(3810,plain,
% 2.36/1.84 (~always3(s187)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3809, 3798])).
% 2.36/1.84 tff(3811,plain,
% 2.36/1.84 (succ(s186, s187) <=> succ(s186, s187)),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3812,axiom,(succ(s186, s187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound187')).
% 2.36/1.84 tff(3813,plain,
% 2.36/1.84 (succ(s186, s187)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3812, 3811])).
% 2.36/1.84 tff(3814,plain,
% 2.36/1.84 (((~![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))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3815,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s186, s187)) | trans(s186, s187))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3816,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s186, s187)) | trans(s186, s187)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3815, 3814])).
% 2.36/1.84 tff(3817,plain,
% 2.36/1.84 (trans(s186, s187)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3816, 3813, 21])).
% 2.36/1.84 tff(3818,plain,
% 2.36/1.84 (((~![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))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3819,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s186, s187)) | (~always3(s186)) | always3(s187))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3820,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s186, s187)) | (~always3(s186)) | always3(s187)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3819, 3818])).
% 2.36/1.84 tff(3821,plain,
% 2.36/1.84 ((~always3(s186)) | always3(s187)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3820, 38, 3817])).
% 2.36/1.84 tff(3822,plain,
% 2.36/1.84 (~always3(s186)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3821, 3810])).
% 2.36/1.84 tff(3823,plain,
% 2.36/1.84 (succ(s185, s186) <=> succ(s185, s186)),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3824,axiom,(succ(s185, s186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound186')).
% 2.36/1.84 tff(3825,plain,
% 2.36/1.84 (succ(s185, s186)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3824, 3823])).
% 2.36/1.84 tff(3826,plain,
% 2.36/1.84 (((~![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))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3827,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s185, s186)) | trans(s185, s186))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3828,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s185, s186)) | trans(s185, s186)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3827, 3826])).
% 2.36/1.84 tff(3829,plain,
% 2.36/1.84 (trans(s185, s186)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3828, 3825, 21])).
% 2.36/1.84 tff(3830,plain,
% 2.36/1.84 (((~![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))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3831,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s185, s186)) | (~always3(s185)) | always3(s186))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3832,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s185, s186)) | (~always3(s185)) | always3(s186)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3831, 3830])).
% 2.36/1.84 tff(3833,plain,
% 2.36/1.84 ((~always3(s185)) | always3(s186)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3832, 38, 3829])).
% 2.36/1.84 tff(3834,plain,
% 2.36/1.84 (~always3(s185)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3833, 3822])).
% 2.36/1.84 tff(3835,plain,
% 2.36/1.84 (succ(s184, s185) <=> succ(s184, s185)),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3836,axiom,(succ(s184, s185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound185')).
% 2.36/1.84 tff(3837,plain,
% 2.36/1.84 (succ(s184, s185)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3836, 3835])).
% 2.36/1.84 tff(3838,plain,
% 2.36/1.84 (((~![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))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3839,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s184, s185)) | trans(s184, s185))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3840,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s184, s185)) | trans(s184, s185)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3839, 3838])).
% 2.36/1.84 tff(3841,plain,
% 2.36/1.84 (trans(s184, s185)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3840, 3837, 21])).
% 2.36/1.84 tff(3842,plain,
% 2.36/1.84 (((~![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))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3843,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s184, s185)) | (~always3(s184)) | always3(s185))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3844,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s184, s185)) | (~always3(s184)) | always3(s185)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3843, 3842])).
% 2.36/1.84 tff(3845,plain,
% 2.36/1.84 ((~always3(s184)) | always3(s185)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3844, 38, 3841])).
% 2.36/1.84 tff(3846,plain,
% 2.36/1.84 (~always3(s184)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3845, 3834])).
% 2.36/1.84 tff(3847,plain,
% 2.36/1.84 (succ(s183, s184) <=> succ(s183, s184)),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3848,axiom,(succ(s183, s184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound184')).
% 2.36/1.84 tff(3849,plain,
% 2.36/1.84 (succ(s183, s184)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3848, 3847])).
% 2.36/1.84 tff(3850,plain,
% 2.36/1.84 (((~![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))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3851,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s183, s184)) | trans(s183, s184))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3852,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s183, s184)) | trans(s183, s184)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3851, 3850])).
% 2.36/1.84 tff(3853,plain,
% 2.36/1.84 (trans(s183, s184)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3852, 3849, 21])).
% 2.36/1.84 tff(3854,plain,
% 2.36/1.84 (((~![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))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3855,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s183, s184)) | (~always3(s183)) | always3(s184))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3856,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s183, s184)) | (~always3(s183)) | always3(s184)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3855, 3854])).
% 2.36/1.84 tff(3857,plain,
% 2.36/1.84 ((~always3(s183)) | always3(s184)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3856, 38, 3853])).
% 2.36/1.84 tff(3858,plain,
% 2.36/1.84 (~always3(s183)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3857, 3846])).
% 2.36/1.84 tff(3859,plain,
% 2.36/1.84 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s183) | (~node4(s183)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s183) | (~node4(s183)))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3860,plain,
% 2.36/1.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s183) | (~node4(s183)))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3861,plain,
% 2.36/1.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s183) | (~node4(s183))),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3860, 3859])).
% 2.36/1.84 tff(3862,plain,
% 2.36/1.84 (~node4(s183)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3861, 113, 3858])).
% 2.36/1.84 tff(3863,plain,
% 2.36/1.84 (succ(s182, s183) <=> succ(s182, s183)),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3864,axiom,(succ(s182, s183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound183')).
% 2.36/1.84 tff(3865,plain,
% 2.36/1.84 (succ(s182, s183)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3864, 3863])).
% 2.36/1.84 tff(3866,plain,
% 2.36/1.84 (((~![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))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3867,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s182, s183)) | trans(s182, s183))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3868,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s182, s183)) | trans(s182, s183)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3867, 3866])).
% 2.36/1.84 tff(3869,plain,
% 2.36/1.84 (trans(s182, s183)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3868, 3865, 21])).
% 2.36/1.84 tff(3870,plain,
% 2.36/1.84 (((~![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))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3871,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s182, s183)) | (~always3(s182)) | always3(s183))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3872,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s182, s183)) | (~always3(s182)) | always3(s183)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3871, 3870])).
% 2.36/1.84 tff(3873,plain,
% 2.36/1.84 ((~always3(s182)) | always3(s183)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3872, 38, 3869])).
% 2.36/1.84 tff(3874,plain,
% 2.36/1.84 (~always3(s182)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3873, 3858])).
% 2.36/1.84 tff(3875,plain,
% 2.36/1.84 (succ(s181, s182) <=> succ(s181, s182)),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3876,axiom,(succ(s181, s182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound182')).
% 2.36/1.84 tff(3877,plain,
% 2.36/1.84 (succ(s181, s182)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3876, 3875])).
% 2.36/1.84 tff(3878,plain,
% 2.36/1.84 (((~![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))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3879,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s181, s182)) | trans(s181, s182))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3880,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s181, s182)) | trans(s181, s182)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3879, 3878])).
% 2.36/1.84 tff(3881,plain,
% 2.36/1.84 (trans(s181, s182)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3880, 3877, 21])).
% 2.36/1.84 tff(3882,plain,
% 2.36/1.84 (((~![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))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3883,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s181, s182)) | (~always3(s181)) | always3(s182))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3884,plain,
% 2.36/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s181, s182)) | (~always3(s181)) | always3(s182)),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3883, 3882])).
% 2.36/1.84 tff(3885,plain,
% 2.36/1.84 ((~always3(s181)) | always3(s182)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3884, 38, 3881])).
% 2.36/1.84 tff(3886,plain,
% 2.36/1.84 (~always3(s181)),
% 2.36/1.84 inference(unit_resolution,[status(thm)],[3885, 3874])).
% 2.36/1.84 tff(3887,plain,
% 2.36/1.84 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s181) | (~node4(s181)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s181) | (~node4(s181)))),
% 2.36/1.84 inference(rewrite,[status(thm)],[])).
% 2.36/1.84 tff(3888,plain,
% 2.36/1.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s181) | (~node4(s181)))),
% 2.36/1.84 inference(quant_inst,[status(thm)],[])).
% 2.36/1.84 tff(3889,plain,
% 2.36/1.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s181) | (~node4(s181))),
% 2.36/1.84 inference(modus_ponens,[status(thm)],[3888, 3887])).
% 2.36/1.84 tff(3890,plain,
% 2.36/1.84 (~node4(s181)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3889, 113, 3886])).
% 2.36/1.85 tff(3891,plain,
% 2.36/1.85 (succ(s180, s181) <=> succ(s180, s181)),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3892,axiom,(succ(s180, s181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound181')).
% 2.36/1.85 tff(3893,plain,
% 2.36/1.85 (succ(s180, s181)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3892, 3891])).
% 2.36/1.85 tff(3894,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3895,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s180, s181)) | trans(s180, s181))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(3896,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s180, s181)) | trans(s180, s181)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3895, 3894])).
% 2.36/1.85 tff(3897,plain,
% 2.36/1.85 (trans(s180, s181)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3896, 3893, 21])).
% 2.36/1.85 tff(3898,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3899,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s180, s181)) | (~always3(s180)) | always3(s181))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(3900,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s180, s181)) | (~always3(s180)) | always3(s181)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3899, 3898])).
% 2.36/1.85 tff(3901,plain,
% 2.36/1.85 ((~always3(s180)) | always3(s181)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3900, 38, 3897])).
% 2.36/1.85 tff(3902,plain,
% 2.36/1.85 (~always3(s180)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3901, 3886])).
% 2.36/1.85 tff(3903,plain,
% 2.36/1.85 (succ(s179, s180) <=> succ(s179, s180)),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3904,axiom,(succ(s179, s180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound180')).
% 2.36/1.85 tff(3905,plain,
% 2.36/1.85 (succ(s179, s180)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3904, 3903])).
% 2.36/1.85 tff(3906,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3907,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s179, s180)) | trans(s179, s180))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(3908,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s179, s180)) | trans(s179, s180)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 2.36/1.85 tff(3909,plain,
% 2.36/1.85 (trans(s179, s180)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3908, 3905, 21])).
% 2.36/1.85 tff(3910,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3911,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s179, s180)) | (~always3(s179)) | always3(s180))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(3912,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s179, s180)) | (~always3(s179)) | always3(s180)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3911, 3910])).
% 2.36/1.85 tff(3913,plain,
% 2.36/1.85 ((~always3(s179)) | always3(s180)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3912, 38, 3909])).
% 2.36/1.85 tff(3914,plain,
% 2.36/1.85 (~always3(s179)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3913, 3902])).
% 2.36/1.85 tff(3915,plain,
% 2.36/1.85 (succ(s178, s179) <=> succ(s178, s179)),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3916,axiom,(succ(s178, s179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound179')).
% 2.36/1.85 tff(3917,plain,
% 2.36/1.85 (succ(s178, s179)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3916, 3915])).
% 2.36/1.85 tff(3918,plain,
% 2.36/1.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s178, s179)) | trans(s178, s179))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s178, s179)) | trans(s178, s179))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3919,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s178, s179)) | trans(s178, s179))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(3920,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s178, s179)) | trans(s178, s179)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3919, 3918])).
% 2.36/1.85 tff(3921,plain,
% 2.36/1.85 (trans(s178, s179)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3920, 3917, 21])).
% 2.36/1.85 tff(3922,plain,
% 2.36/1.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s178, s179)) | (~always3(s178)) | always3(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s178, s179)) | (~always3(s178)) | always3(s179))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3923,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s178, s179)) | (~always3(s178)) | always3(s179))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(3924,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s178, s179)) | (~always3(s178)) | always3(s179)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3923, 3922])).
% 2.36/1.85 tff(3925,plain,
% 2.36/1.85 ((~always3(s178)) | always3(s179)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3924, 38, 3921])).
% 2.36/1.85 tff(3926,plain,
% 2.36/1.85 (~always3(s178)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3925, 3914])).
% 2.36/1.85 tff(3927,plain,
% 2.36/1.85 (succ(s177, s178) <=> succ(s177, s178)),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3928,axiom,(succ(s177, s178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound178')).
% 2.36/1.85 tff(3929,plain,
% 2.36/1.85 (succ(s177, s178)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3928, 3927])).
% 2.36/1.85 tff(3930,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3931,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s177, s178)) | trans(s177, s178))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(3932,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s177, s178)) | trans(s177, s178)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3931, 3930])).
% 2.36/1.85 tff(3933,plain,
% 2.36/1.85 (trans(s177, s178)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3932, 3929, 21])).
% 2.36/1.85 tff(3934,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3935,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s177, s178)) | (~always3(s177)) | always3(s178))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(3936,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s177, s178)) | (~always3(s177)) | always3(s178)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3935, 3934])).
% 2.36/1.85 tff(3937,plain,
% 2.36/1.85 ((~always3(s177)) | always3(s178)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3936, 38, 3933])).
% 2.36/1.85 tff(3938,plain,
% 2.36/1.85 (~always3(s177)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3937, 3926])).
% 2.36/1.85 tff(3939,plain,
% 2.36/1.85 (succ(s176, s177) <=> succ(s176, s177)),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3940,axiom,(succ(s176, s177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound177')).
% 2.36/1.85 tff(3941,plain,
% 2.36/1.85 (succ(s176, s177)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3940, 3939])).
% 2.36/1.85 tff(3942,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3943,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s176, s177)) | trans(s176, s177))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(3944,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s176, s177)) | trans(s176, s177)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3943, 3942])).
% 2.36/1.85 tff(3945,plain,
% 2.36/1.85 (trans(s176, s177)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3944, 3941, 21])).
% 2.36/1.85 tff(3946,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3947,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s176, s177)) | (~always3(s176)) | always3(s177))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(3948,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s176, s177)) | (~always3(s176)) | always3(s177)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3947, 3946])).
% 2.36/1.85 tff(3949,plain,
% 2.36/1.85 ((~always3(s176)) | always3(s177)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3948, 38, 3945])).
% 2.36/1.85 tff(3950,plain,
% 2.36/1.85 (~always3(s176)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3949, 3938])).
% 2.36/1.85 tff(3951,plain,
% 2.36/1.85 (succ(s175, s176) <=> succ(s175, s176)),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3952,axiom,(succ(s175, s176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound176')).
% 2.36/1.85 tff(3953,plain,
% 2.36/1.85 (succ(s175, s176)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3952, 3951])).
% 2.36/1.85 tff(3954,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3955,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s175, s176)) | trans(s175, s176))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(3956,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s175, s176)) | trans(s175, s176)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3955, 3954])).
% 2.36/1.85 tff(3957,plain,
% 2.36/1.85 (trans(s175, s176)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3956, 3953, 21])).
% 2.36/1.85 tff(3958,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3959,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s175, s176)) | (~always3(s175)) | always3(s176))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(3960,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s175, s176)) | (~always3(s175)) | always3(s176)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3959, 3958])).
% 2.36/1.85 tff(3961,plain,
% 2.36/1.85 ((~always3(s175)) | always3(s176)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3960, 38, 3957])).
% 2.36/1.85 tff(3962,plain,
% 2.36/1.85 (~always3(s175)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3961, 3950])).
% 2.36/1.85 tff(3963,plain,
% 2.36/1.85 (succ(s174, s175) <=> succ(s174, s175)),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3964,axiom,(succ(s174, s175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound175')).
% 2.36/1.85 tff(3965,plain,
% 2.36/1.85 (succ(s174, s175)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3964, 3963])).
% 2.36/1.85 tff(3966,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3967,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s174, s175)) | trans(s174, s175))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(3968,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s174, s175)) | trans(s174, s175)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3967, 3966])).
% 2.36/1.85 tff(3969,plain,
% 2.36/1.85 (trans(s174, s175)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3968, 3965, 21])).
% 2.36/1.85 tff(3970,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3971,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s174, s175)) | (~always3(s174)) | always3(s175))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(3972,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s174, s175)) | (~always3(s174)) | always3(s175)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3971, 3970])).
% 2.36/1.85 tff(3973,plain,
% 2.36/1.85 ((~always3(s174)) | always3(s175)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3972, 38, 3969])).
% 2.36/1.85 tff(3974,plain,
% 2.36/1.85 (~always3(s174)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3973, 3962])).
% 2.36/1.85 tff(3975,assumption,(~always3(s174)), introduced(assumption)).
% 2.36/1.85 tff(3976,plain,
% 2.36/1.85 (succ(s173, s174) <=> succ(s173, s174)),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3977,axiom,(succ(s173, s174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound174')).
% 2.36/1.85 tff(3978,plain,
% 2.36/1.85 (succ(s173, s174)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3977, 3976])).
% 2.36/1.85 tff(3979,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3980,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s173, s174)) | trans(s173, s174))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(3981,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s173, s174)) | trans(s173, s174)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3980, 3979])).
% 2.36/1.85 tff(3982,plain,
% 2.36/1.85 (trans(s173, s174)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3981, 3978, 21])).
% 2.36/1.85 tff(3983,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3984,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s173, s174)) | (~always3(s173)) | always3(s174))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(3985,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s173, s174)) | (~always3(s173)) | always3(s174)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3984, 3983])).
% 2.36/1.85 tff(3986,plain,
% 2.36/1.85 ((~always3(s173)) | always3(s174)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3985, 38, 3982])).
% 2.36/1.85 tff(3987,plain,
% 2.36/1.85 (~always3(s173)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3986, 3975])).
% 2.36/1.85 tff(3988,plain,
% 2.36/1.85 (succ(s172, s173) <=> succ(s172, s173)),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3989,axiom,(succ(s172, s173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound173')).
% 2.36/1.85 tff(3990,plain,
% 2.36/1.85 (succ(s172, s173)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3989, 3988])).
% 2.36/1.85 tff(3991,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3992,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s172, s173)) | trans(s172, s173))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(3993,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s172, s173)) | trans(s172, s173)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3992, 3991])).
% 2.36/1.85 tff(3994,plain,
% 2.36/1.85 (trans(s172, s173)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3993, 3990, 21])).
% 2.36/1.85 tff(3995,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(3996,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s172, s173)) | (~always3(s172)) | always3(s173))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(3997,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s172, s173)) | (~always3(s172)) | always3(s173)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[3996, 3995])).
% 2.36/1.85 tff(3998,plain,
% 2.36/1.85 ((~always3(s172)) | always3(s173)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3997, 38, 3994])).
% 2.36/1.85 tff(3999,plain,
% 2.36/1.85 (~always3(s172)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[3998, 3987])).
% 2.36/1.85 tff(4000,plain,
% 2.36/1.85 (succ(s171, s172) <=> succ(s171, s172)),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(4001,axiom,(succ(s171, s172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound172')).
% 2.36/1.85 tff(4002,plain,
% 2.36/1.85 (succ(s171, s172)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[4001, 4000])).
% 2.36/1.85 tff(4003,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(4004,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s171, s172)) | trans(s171, s172))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(4005,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s171, s172)) | trans(s171, s172)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[4004, 4003])).
% 2.36/1.85 tff(4006,plain,
% 2.36/1.85 (trans(s171, s172)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[4005, 4002, 21])).
% 2.36/1.85 tff(4007,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(4008,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s171, s172)) | (~always3(s171)) | always3(s172))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(4009,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s171, s172)) | (~always3(s171)) | always3(s172)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[4008, 4007])).
% 2.36/1.85 tff(4010,plain,
% 2.36/1.85 ((~always3(s171)) | always3(s172)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[4009, 38, 4006])).
% 2.36/1.85 tff(4011,plain,
% 2.36/1.85 (~always3(s171)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[4010, 3999])).
% 2.36/1.85 tff(4012,plain,
% 2.36/1.85 (succ(s170, s171) <=> succ(s170, s171)),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(4013,axiom,(succ(s170, s171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound171')).
% 2.36/1.85 tff(4014,plain,
% 2.36/1.85 (succ(s170, s171)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[4013, 4012])).
% 2.36/1.85 tff(4015,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(4016,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s170, s171)) | trans(s170, s171))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(4017,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s170, s171)) | trans(s170, s171)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[4016, 4015])).
% 2.36/1.85 tff(4018,plain,
% 2.36/1.85 (trans(s170, s171)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[4017, 4014, 21])).
% 2.36/1.85 tff(4019,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(4020,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s170, s171)) | (~always3(s170)) | always3(s171))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(4021,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s170, s171)) | (~always3(s170)) | always3(s171)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[4020, 4019])).
% 2.36/1.85 tff(4022,plain,
% 2.36/1.85 ((~always3(s170)) | always3(s171)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[4021, 38, 4018])).
% 2.36/1.85 tff(4023,plain,
% 2.36/1.85 (~always3(s170)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[4022, 4011])).
% 2.36/1.85 tff(4024,plain,
% 2.36/1.85 (succ(s169, s170) <=> succ(s169, s170)),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(4025,axiom,(succ(s169, s170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound170')).
% 2.36/1.85 tff(4026,plain,
% 2.36/1.85 (succ(s169, s170)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[4025, 4024])).
% 2.36/1.85 tff(4027,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(4028,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s169, s170)) | trans(s169, s170))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(4029,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s169, s170)) | trans(s169, s170)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[4028, 4027])).
% 2.36/1.85 tff(4030,plain,
% 2.36/1.85 (trans(s169, s170)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[4029, 4026, 21])).
% 2.36/1.85 tff(4031,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(4032,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s169, s170)) | (~always3(s169)) | always3(s170))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(4033,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s169, s170)) | (~always3(s169)) | always3(s170)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[4032, 4031])).
% 2.36/1.85 tff(4034,plain,
% 2.36/1.85 ((~always3(s169)) | always3(s170)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[4033, 38, 4030])).
% 2.36/1.85 tff(4035,plain,
% 2.36/1.85 (~always3(s169)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[4034, 4023])).
% 2.36/1.85 tff(4036,plain,
% 2.36/1.85 (succ(s168, s169) <=> succ(s168, s169)),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(4037,axiom,(succ(s168, s169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound169')).
% 2.36/1.85 tff(4038,plain,
% 2.36/1.85 (succ(s168, s169)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[4037, 4036])).
% 2.36/1.85 tff(4039,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(4040,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s168, s169)) | trans(s168, s169))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(4041,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s168, s169)) | trans(s168, s169)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[4040, 4039])).
% 2.36/1.85 tff(4042,plain,
% 2.36/1.85 (trans(s168, s169)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[4041, 4038, 21])).
% 2.36/1.85 tff(4043,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(4044,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s168, s169)) | (~always3(s168)) | always3(s169))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(4045,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s168, s169)) | (~always3(s168)) | always3(s169)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[4044, 4043])).
% 2.36/1.85 tff(4046,plain,
% 2.36/1.85 ((~always3(s168)) | always3(s169)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[4045, 38, 4042])).
% 2.36/1.85 tff(4047,plain,
% 2.36/1.85 (~always3(s168)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[4046, 4035])).
% 2.36/1.85 tff(4048,plain,
% 2.36/1.85 (succ(s167, s168) <=> succ(s167, s168)),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(4049,axiom,(succ(s167, s168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound168')).
% 2.36/1.85 tff(4050,plain,
% 2.36/1.85 (succ(s167, s168)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[4049, 4048])).
% 2.36/1.85 tff(4051,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(4052,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s167, s168)) | trans(s167, s168))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(4053,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s167, s168)) | trans(s167, s168)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[4052, 4051])).
% 2.36/1.85 tff(4054,plain,
% 2.36/1.85 (trans(s167, s168)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[4053, 4050, 21])).
% 2.36/1.85 tff(4055,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(4056,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s167, s168)) | (~always3(s167)) | always3(s168))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(4057,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s167, s168)) | (~always3(s167)) | always3(s168)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[4056, 4055])).
% 2.36/1.85 tff(4058,plain,
% 2.36/1.85 ((~always3(s167)) | always3(s168)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[4057, 38, 4054])).
% 2.36/1.85 tff(4059,plain,
% 2.36/1.85 (~always3(s167)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[4058, 4047])).
% 2.36/1.85 tff(4060,plain,
% 2.36/1.85 (succ(s166, s167) <=> succ(s166, s167)),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(4061,axiom,(succ(s166, s167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound167')).
% 2.36/1.85 tff(4062,plain,
% 2.36/1.85 (succ(s166, s167)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[4061, 4060])).
% 2.36/1.85 tff(4063,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.85 inference(rewrite,[status(thm)],[])).
% 2.36/1.85 tff(4064,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s166, s167)) | trans(s166, s167))),
% 2.36/1.85 inference(quant_inst,[status(thm)],[])).
% 2.36/1.85 tff(4065,plain,
% 2.36/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s166, s167)) | trans(s166, s167)),
% 2.36/1.85 inference(modus_ponens,[status(thm)],[4064, 4063])).
% 2.36/1.85 tff(4066,plain,
% 2.36/1.85 (trans(s166, s167)),
% 2.36/1.85 inference(unit_resolution,[status(thm)],[4065, 4062, 21])).
% 2.36/1.85 tff(4067,plain,
% 2.36/1.85 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4068,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s166, s167)) | (~always3(s166)) | always3(s167))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4069,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s166, s167)) | (~always3(s166)) | always3(s167)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4068, 4067])).
% 2.36/1.86 tff(4070,plain,
% 2.36/1.86 ((~always3(s166)) | always3(s167)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4069, 38, 4066])).
% 2.36/1.86 tff(4071,plain,
% 2.36/1.86 (~always3(s166)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4070, 4059])).
% 2.36/1.86 tff(4072,plain,
% 2.36/1.86 (succ(s165, s166) <=> succ(s165, s166)),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4073,axiom,(succ(s165, s166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound166')).
% 2.36/1.86 tff(4074,plain,
% 2.36/1.86 (succ(s165, s166)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4073, 4072])).
% 2.36/1.86 tff(4075,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4076,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s165, s166)) | trans(s165, s166))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4077,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s165, s166)) | trans(s165, s166)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4076, 4075])).
% 2.36/1.86 tff(4078,plain,
% 2.36/1.86 (trans(s165, s166)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4077, 4074, 21])).
% 2.36/1.86 tff(4079,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4080,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s165, s166)) | (~always3(s165)) | always3(s166))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4081,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s165, s166)) | (~always3(s165)) | always3(s166)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4080, 4079])).
% 2.36/1.86 tff(4082,plain,
% 2.36/1.86 ((~always3(s165)) | always3(s166)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4081, 38, 4078])).
% 2.36/1.86 tff(4083,plain,
% 2.36/1.86 (~always3(s165)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4082, 4071])).
% 2.36/1.86 tff(4084,plain,
% 2.36/1.86 (succ(s164, s165) <=> succ(s164, s165)),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4085,axiom,(succ(s164, s165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound165')).
% 2.36/1.86 tff(4086,plain,
% 2.36/1.86 (succ(s164, s165)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4085, 4084])).
% 2.36/1.86 tff(4087,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4088,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s164, s165)) | trans(s164, s165))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4089,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s164, s165)) | trans(s164, s165)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4088, 4087])).
% 2.36/1.86 tff(4090,plain,
% 2.36/1.86 (trans(s164, s165)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4089, 4086, 21])).
% 2.36/1.86 tff(4091,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4092,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s164, s165)) | (~always3(s164)) | always3(s165))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4093,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s164, s165)) | (~always3(s164)) | always3(s165)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4092, 4091])).
% 2.36/1.86 tff(4094,plain,
% 2.36/1.86 ((~always3(s164)) | always3(s165)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4093, 38, 4090])).
% 2.36/1.86 tff(4095,plain,
% 2.36/1.86 (~always3(s164)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4094, 4083])).
% 2.36/1.86 tff(4096,plain,
% 2.36/1.86 (succ(s163, s164) <=> succ(s163, s164)),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4097,axiom,(succ(s163, s164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound164')).
% 2.36/1.86 tff(4098,plain,
% 2.36/1.86 (succ(s163, s164)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4097, 4096])).
% 2.36/1.86 tff(4099,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4100,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s163, s164)) | trans(s163, s164))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4101,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s163, s164)) | trans(s163, s164)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4100, 4099])).
% 2.36/1.86 tff(4102,plain,
% 2.36/1.86 (trans(s163, s164)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4101, 4098, 21])).
% 2.36/1.86 tff(4103,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4104,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s163, s164)) | (~always3(s163)) | always3(s164))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4105,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s163, s164)) | (~always3(s163)) | always3(s164)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4104, 4103])).
% 2.36/1.86 tff(4106,plain,
% 2.36/1.86 ((~always3(s163)) | always3(s164)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4105, 38, 4102])).
% 2.36/1.86 tff(4107,plain,
% 2.36/1.86 (~always3(s163)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4106, 4095])).
% 2.36/1.86 tff(4108,plain,
% 2.36/1.86 (succ(s162, s163) <=> succ(s162, s163)),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4109,axiom,(succ(s162, s163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound163')).
% 2.36/1.86 tff(4110,plain,
% 2.36/1.86 (succ(s162, s163)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4109, 4108])).
% 2.36/1.86 tff(4111,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4112,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s162, s163)) | trans(s162, s163))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4113,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s162, s163)) | trans(s162, s163)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4112, 4111])).
% 2.36/1.86 tff(4114,plain,
% 2.36/1.86 (trans(s162, s163)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4113, 4110, 21])).
% 2.36/1.86 tff(4115,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4116,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s162, s163)) | (~always3(s162)) | always3(s163))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4117,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s162, s163)) | (~always3(s162)) | always3(s163)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4116, 4115])).
% 2.36/1.86 tff(4118,plain,
% 2.36/1.86 ((~always3(s162)) | always3(s163)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4117, 38, 4114])).
% 2.36/1.86 tff(4119,plain,
% 2.36/1.86 (~always3(s162)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4118, 4107])).
% 2.36/1.86 tff(4120,plain,
% 2.36/1.86 (succ(s161, s162) <=> succ(s161, s162)),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4121,axiom,(succ(s161, s162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound162')).
% 2.36/1.86 tff(4122,plain,
% 2.36/1.86 (succ(s161, s162)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4121, 4120])).
% 2.36/1.86 tff(4123,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4124,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s161, s162)) | trans(s161, s162))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4125,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s161, s162)) | trans(s161, s162)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4124, 4123])).
% 2.36/1.86 tff(4126,plain,
% 2.36/1.86 (trans(s161, s162)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4125, 4122, 21])).
% 2.36/1.86 tff(4127,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4128,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s161, s162)) | (~always3(s161)) | always3(s162))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4129,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s161, s162)) | (~always3(s161)) | always3(s162)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4128, 4127])).
% 2.36/1.86 tff(4130,plain,
% 2.36/1.86 ((~always3(s161)) | always3(s162)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4129, 38, 4126])).
% 2.36/1.86 tff(4131,plain,
% 2.36/1.86 (~always3(s161)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4130, 4119])).
% 2.36/1.86 tff(4132,plain,
% 2.36/1.86 (succ(s160, s161) <=> succ(s160, s161)),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4133,axiom,(succ(s160, s161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound161')).
% 2.36/1.86 tff(4134,plain,
% 2.36/1.86 (succ(s160, s161)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4133, 4132])).
% 2.36/1.86 tff(4135,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4136,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s160, s161)) | trans(s160, s161))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4137,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s160, s161)) | trans(s160, s161)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4136, 4135])).
% 2.36/1.86 tff(4138,plain,
% 2.36/1.86 (trans(s160, s161)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4137, 4134, 21])).
% 2.36/1.86 tff(4139,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4140,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s160, s161)) | (~always3(s160)) | always3(s161))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4141,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s160, s161)) | (~always3(s160)) | always3(s161)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4140, 4139])).
% 2.36/1.86 tff(4142,plain,
% 2.36/1.86 ((~always3(s160)) | always3(s161)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4141, 38, 4138])).
% 2.36/1.86 tff(4143,plain,
% 2.36/1.86 (~always3(s160)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4142, 4131])).
% 2.36/1.86 tff(4144,plain,
% 2.36/1.86 (succ(s159, s160) <=> succ(s159, s160)),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4145,axiom,(succ(s159, s160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound160')).
% 2.36/1.86 tff(4146,plain,
% 2.36/1.86 (succ(s159, s160)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4145, 4144])).
% 2.36/1.86 tff(4147,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4148,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s159, s160)) | trans(s159, s160))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4149,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s159, s160)) | trans(s159, s160)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4148, 4147])).
% 2.36/1.86 tff(4150,plain,
% 2.36/1.86 (trans(s159, s160)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4149, 4146, 21])).
% 2.36/1.86 tff(4151,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4152,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s159, s160)) | (~always3(s159)) | always3(s160))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4153,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s159, s160)) | (~always3(s159)) | always3(s160)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4152, 4151])).
% 2.36/1.86 tff(4154,plain,
% 2.36/1.86 ((~always3(s159)) | always3(s160)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4153, 38, 4150])).
% 2.36/1.86 tff(4155,plain,
% 2.36/1.86 (~always3(s159)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4154, 4143])).
% 2.36/1.86 tff(4156,plain,
% 2.36/1.86 (succ(s158, s159) <=> succ(s158, s159)),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4157,axiom,(succ(s158, s159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound159')).
% 2.36/1.86 tff(4158,plain,
% 2.36/1.86 (succ(s158, s159)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4157, 4156])).
% 2.36/1.86 tff(4159,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4160,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s158, s159)) | trans(s158, s159))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4161,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s158, s159)) | trans(s158, s159)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4160, 4159])).
% 2.36/1.86 tff(4162,plain,
% 2.36/1.86 (trans(s158, s159)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4161, 4158, 21])).
% 2.36/1.86 tff(4163,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4164,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s158, s159)) | (~always3(s158)) | always3(s159))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4165,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s158, s159)) | (~always3(s158)) | always3(s159)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4164, 4163])).
% 2.36/1.86 tff(4166,plain,
% 2.36/1.86 ((~always3(s158)) | always3(s159)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4165, 38, 4162])).
% 2.36/1.86 tff(4167,plain,
% 2.36/1.86 (~always3(s158)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4166, 4155])).
% 2.36/1.86 tff(4168,plain,
% 2.36/1.86 (succ(s157, s158) <=> succ(s157, s158)),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4169,axiom,(succ(s157, s158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound158')).
% 2.36/1.86 tff(4170,plain,
% 2.36/1.86 (succ(s157, s158)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4169, 4168])).
% 2.36/1.86 tff(4171,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4172,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s157, s158)) | trans(s157, s158))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4173,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s157, s158)) | trans(s157, s158)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4172, 4171])).
% 2.36/1.86 tff(4174,plain,
% 2.36/1.86 (trans(s157, s158)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4173, 4170, 21])).
% 2.36/1.86 tff(4175,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4176,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s157, s158)) | (~always3(s157)) | always3(s158))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4177,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s157, s158)) | (~always3(s157)) | always3(s158)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4176, 4175])).
% 2.36/1.86 tff(4178,plain,
% 2.36/1.86 ((~always3(s157)) | always3(s158)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4177, 38, 4174])).
% 2.36/1.86 tff(4179,plain,
% 2.36/1.86 (~always3(s157)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4178, 4167])).
% 2.36/1.86 tff(4180,plain,
% 2.36/1.86 (succ(s156, s157) <=> succ(s156, s157)),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4181,axiom,(succ(s156, s157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound157')).
% 2.36/1.86 tff(4182,plain,
% 2.36/1.86 (succ(s156, s157)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4181, 4180])).
% 2.36/1.86 tff(4183,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4184,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s156, s157)) | trans(s156, s157))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4185,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s156, s157)) | trans(s156, s157)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4184, 4183])).
% 2.36/1.86 tff(4186,plain,
% 2.36/1.86 (trans(s156, s157)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4185, 4182, 21])).
% 2.36/1.86 tff(4187,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4188,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s156, s157)) | (~always3(s156)) | always3(s157))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4189,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s156, s157)) | (~always3(s156)) | always3(s157)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4188, 4187])).
% 2.36/1.86 tff(4190,plain,
% 2.36/1.86 ((~always3(s156)) | always3(s157)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4189, 38, 4186])).
% 2.36/1.86 tff(4191,plain,
% 2.36/1.86 (~always3(s156)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4190, 4179])).
% 2.36/1.86 tff(4192,plain,
% 2.36/1.86 (succ(s155, s156) <=> succ(s155, s156)),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4193,axiom,(succ(s155, s156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound156')).
% 2.36/1.86 tff(4194,plain,
% 2.36/1.86 (succ(s155, s156)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4193, 4192])).
% 2.36/1.86 tff(4195,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4196,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s155, s156)) | trans(s155, s156))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4197,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s155, s156)) | trans(s155, s156)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4196, 4195])).
% 2.36/1.86 tff(4198,plain,
% 2.36/1.86 (trans(s155, s156)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4197, 4194, 21])).
% 2.36/1.86 tff(4199,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4200,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s155, s156)) | (~always3(s155)) | always3(s156))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4201,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s155, s156)) | (~always3(s155)) | always3(s156)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4200, 4199])).
% 2.36/1.86 tff(4202,plain,
% 2.36/1.86 ((~always3(s155)) | always3(s156)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4201, 38, 4198])).
% 2.36/1.86 tff(4203,plain,
% 2.36/1.86 (~always3(s155)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4202, 4191])).
% 2.36/1.86 tff(4204,plain,
% 2.36/1.86 (succ(s154, s155) <=> succ(s154, s155)),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4205,axiom,(succ(s154, s155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound155')).
% 2.36/1.86 tff(4206,plain,
% 2.36/1.86 (succ(s154, s155)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4205, 4204])).
% 2.36/1.86 tff(4207,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4208,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s154, s155)) | trans(s154, s155))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4209,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s154, s155)) | trans(s154, s155)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4208, 4207])).
% 2.36/1.86 tff(4210,plain,
% 2.36/1.86 (trans(s154, s155)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4209, 4206, 21])).
% 2.36/1.86 tff(4211,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4212,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s154, s155)) | (~always3(s154)) | always3(s155))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4213,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s154, s155)) | (~always3(s154)) | always3(s155)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4212, 4211])).
% 2.36/1.86 tff(4214,plain,
% 2.36/1.86 ((~always3(s154)) | always3(s155)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4213, 38, 4210])).
% 2.36/1.86 tff(4215,plain,
% 2.36/1.86 (~always3(s154)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4214, 4203])).
% 2.36/1.86 tff(4216,plain,
% 2.36/1.86 (succ(s153, s154) <=> succ(s153, s154)),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4217,axiom,(succ(s153, s154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound154')).
% 2.36/1.86 tff(4218,plain,
% 2.36/1.86 (succ(s153, s154)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4217, 4216])).
% 2.36/1.86 tff(4219,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4220,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s153, s154)) | trans(s153, s154))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4221,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s153, s154)) | trans(s153, s154)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4220, 4219])).
% 2.36/1.86 tff(4222,plain,
% 2.36/1.86 (trans(s153, s154)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4221, 4218, 21])).
% 2.36/1.86 tff(4223,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4224,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s153, s154)) | (~always3(s153)) | always3(s154))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4225,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s153, s154)) | (~always3(s153)) | always3(s154)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4224, 4223])).
% 2.36/1.86 tff(4226,plain,
% 2.36/1.86 ((~always3(s153)) | always3(s154)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4225, 38, 4222])).
% 2.36/1.86 tff(4227,plain,
% 2.36/1.86 (~always3(s153)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4226, 4215])).
% 2.36/1.86 tff(4228,plain,
% 2.36/1.86 (succ(s152, s153) <=> succ(s152, s153)),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4229,axiom,(succ(s152, s153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound153')).
% 2.36/1.86 tff(4230,plain,
% 2.36/1.86 (succ(s152, s153)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4229, 4228])).
% 2.36/1.86 tff(4231,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4232,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s152, s153)) | trans(s152, s153))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4233,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s152, s153)) | trans(s152, s153)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4232, 4231])).
% 2.36/1.86 tff(4234,plain,
% 2.36/1.86 (trans(s152, s153)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4233, 4230, 21])).
% 2.36/1.86 tff(4235,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4236,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s152, s153)) | (~always3(s152)) | always3(s153))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4237,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s152, s153)) | (~always3(s152)) | always3(s153)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4236, 4235])).
% 2.36/1.86 tff(4238,plain,
% 2.36/1.86 ((~always3(s152)) | always3(s153)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4237, 38, 4234])).
% 2.36/1.86 tff(4239,plain,
% 2.36/1.86 (~always3(s152)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4238, 4227])).
% 2.36/1.86 tff(4240,plain,
% 2.36/1.86 (succ(s151, s152) <=> succ(s151, s152)),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4241,axiom,(succ(s151, s152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound152')).
% 2.36/1.86 tff(4242,plain,
% 2.36/1.86 (succ(s151, s152)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4241, 4240])).
% 2.36/1.86 tff(4243,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4244,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s151, s152)) | trans(s151, s152))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4245,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s151, s152)) | trans(s151, s152)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4244, 4243])).
% 2.36/1.86 tff(4246,plain,
% 2.36/1.86 (trans(s151, s152)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4245, 4242, 21])).
% 2.36/1.86 tff(4247,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4248,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s151, s152)) | (~always3(s151)) | always3(s152))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4249,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s151, s152)) | (~always3(s151)) | always3(s152)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4248, 4247])).
% 2.36/1.86 tff(4250,plain,
% 2.36/1.86 ((~always3(s151)) | always3(s152)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4249, 38, 4246])).
% 2.36/1.86 tff(4251,plain,
% 2.36/1.86 (~always3(s151)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4250, 4239])).
% 2.36/1.86 tff(4252,plain,
% 2.36/1.86 (succ(s150, s151) <=> succ(s150, s151)),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4253,axiom,(succ(s150, s151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound151')).
% 2.36/1.86 tff(4254,plain,
% 2.36/1.86 (succ(s150, s151)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4253, 4252])).
% 2.36/1.86 tff(4255,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4256,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s150, s151)) | trans(s150, s151))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4257,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s150, s151)) | trans(s150, s151)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4256, 4255])).
% 2.36/1.86 tff(4258,plain,
% 2.36/1.86 (trans(s150, s151)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4257, 4254, 21])).
% 2.36/1.86 tff(4259,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4260,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s150, s151)) | (~always3(s150)) | always3(s151))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4261,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s150, s151)) | (~always3(s150)) | always3(s151)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4260, 4259])).
% 2.36/1.86 tff(4262,plain,
% 2.36/1.86 ((~always3(s150)) | always3(s151)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4261, 38, 4258])).
% 2.36/1.86 tff(4263,plain,
% 2.36/1.86 (~always3(s150)),
% 2.36/1.86 inference(unit_resolution,[status(thm)],[4262, 4251])).
% 2.36/1.86 tff(4264,plain,
% 2.36/1.86 (succ(s149, s150) <=> succ(s149, s150)),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4265,axiom,(succ(s149, s150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound150')).
% 2.36/1.86 tff(4266,plain,
% 2.36/1.86 (succ(s149, s150)),
% 2.36/1.86 inference(modus_ponens,[status(thm)],[4265, 4264])).
% 2.36/1.86 tff(4267,plain,
% 2.36/1.86 (((~![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))),
% 2.36/1.86 inference(rewrite,[status(thm)],[])).
% 2.36/1.86 tff(4268,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s149, s150)) | trans(s149, s150))),
% 2.36/1.86 inference(quant_inst,[status(thm)],[])).
% 2.36/1.86 tff(4269,plain,
% 2.36/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s149, s150)) | trans(s149, s150)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4268, 4267])).
% 2.36/1.87 tff(4270,plain,
% 2.36/1.87 (trans(s149, s150)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4269, 4266, 21])).
% 2.36/1.87 tff(4271,plain,
% 2.36/1.87 (((~![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))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4272,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s149, s150)) | (~always3(s149)) | always3(s150))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4273,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s149, s150)) | (~always3(s149)) | always3(s150)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4272, 4271])).
% 2.36/1.87 tff(4274,plain,
% 2.36/1.87 ((~always3(s149)) | always3(s150)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4273, 38, 4270])).
% 2.36/1.87 tff(4275,plain,
% 2.36/1.87 (~always3(s149)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4274, 4263])).
% 2.36/1.87 tff(4276,plain,
% 2.36/1.87 (succ(s148, s149) <=> succ(s148, s149)),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4277,axiom,(succ(s148, s149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound149')).
% 2.36/1.87 tff(4278,plain,
% 2.36/1.87 (succ(s148, s149)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4277, 4276])).
% 2.36/1.87 tff(4279,plain,
% 2.36/1.87 (((~![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))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4280,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s148, s149)) | trans(s148, s149))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4281,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s148, s149)) | trans(s148, s149)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4280, 4279])).
% 2.36/1.87 tff(4282,plain,
% 2.36/1.87 (trans(s148, s149)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4281, 4278, 21])).
% 2.36/1.87 tff(4283,plain,
% 2.36/1.87 (((~![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))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4284,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s148, s149)) | (~always3(s148)) | always3(s149))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4285,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s148, s149)) | (~always3(s148)) | always3(s149)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4284, 4283])).
% 2.36/1.87 tff(4286,plain,
% 2.36/1.87 ((~always3(s148)) | always3(s149)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4285, 38, 4282])).
% 2.36/1.87 tff(4287,plain,
% 2.36/1.87 (~always3(s148)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4286, 4275])).
% 2.36/1.87 tff(4288,plain,
% 2.36/1.87 (succ(s147, s148) <=> succ(s147, s148)),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4289,axiom,(succ(s147, s148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound148')).
% 2.36/1.87 tff(4290,plain,
% 2.36/1.87 (succ(s147, s148)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4289, 4288])).
% 2.36/1.87 tff(4291,plain,
% 2.36/1.87 (((~![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))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4292,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s147, s148)) | trans(s147, s148))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4293,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s147, s148)) | trans(s147, s148)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4292, 4291])).
% 2.36/1.87 tff(4294,plain,
% 2.36/1.87 (trans(s147, s148)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4293, 4290, 21])).
% 2.36/1.87 tff(4295,plain,
% 2.36/1.87 (((~![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))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4296,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s147, s148)) | (~always3(s147)) | always3(s148))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4297,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s147, s148)) | (~always3(s147)) | always3(s148)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4296, 4295])).
% 2.36/1.87 tff(4298,plain,
% 2.36/1.87 ((~always3(s147)) | always3(s148)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4297, 38, 4294])).
% 2.36/1.87 tff(4299,plain,
% 2.36/1.87 (~always3(s147)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4298, 4287])).
% 2.36/1.87 tff(4300,plain,
% 2.36/1.87 (succ(s146, s147) <=> succ(s146, s147)),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4301,axiom,(succ(s146, s147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound147')).
% 2.36/1.87 tff(4302,plain,
% 2.36/1.87 (succ(s146, s147)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4301, 4300])).
% 2.36/1.87 tff(4303,plain,
% 2.36/1.87 (((~![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))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4304,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s146, s147)) | trans(s146, s147))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4305,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s146, s147)) | trans(s146, s147)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4304, 4303])).
% 2.36/1.87 tff(4306,plain,
% 2.36/1.87 (trans(s146, s147)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4305, 4302, 21])).
% 2.36/1.87 tff(4307,plain,
% 2.36/1.87 (((~![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))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4308,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s146, s147)) | (~always3(s146)) | always3(s147))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4309,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s146, s147)) | (~always3(s146)) | always3(s147)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4308, 4307])).
% 2.36/1.87 tff(4310,plain,
% 2.36/1.87 ((~always3(s146)) | always3(s147)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4309, 38, 4306])).
% 2.36/1.87 tff(4311,plain,
% 2.36/1.87 (~always3(s146)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4310, 4299])).
% 2.36/1.87 tff(4312,plain,
% 2.36/1.87 (succ(s145, s146) <=> succ(s145, s146)),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4313,axiom,(succ(s145, s146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound146')).
% 2.36/1.87 tff(4314,plain,
% 2.36/1.87 (succ(s145, s146)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4313, 4312])).
% 2.36/1.87 tff(4315,plain,
% 2.36/1.87 (((~![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))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4316,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s145, s146)) | trans(s145, s146))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4317,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s145, s146)) | trans(s145, s146)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4316, 4315])).
% 2.36/1.87 tff(4318,plain,
% 2.36/1.87 (trans(s145, s146)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4317, 4314, 21])).
% 2.36/1.87 tff(4319,plain,
% 2.36/1.87 (((~![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))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4320,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s145, s146)) | (~always3(s145)) | always3(s146))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4321,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s145, s146)) | (~always3(s145)) | always3(s146)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4320, 4319])).
% 2.36/1.87 tff(4322,plain,
% 2.36/1.87 ((~always3(s145)) | always3(s146)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4321, 38, 4318])).
% 2.36/1.87 tff(4323,plain,
% 2.36/1.87 (~always3(s145)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4322, 4311])).
% 2.36/1.87 tff(4324,plain,
% 2.36/1.87 (succ(s144, s145) <=> succ(s144, s145)),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4325,axiom,(succ(s144, s145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound145')).
% 2.36/1.87 tff(4326,plain,
% 2.36/1.87 (succ(s144, s145)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4325, 4324])).
% 2.36/1.87 tff(4327,plain,
% 2.36/1.87 (((~![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))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4328,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s144, s145)) | trans(s144, s145))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4329,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s144, s145)) | trans(s144, s145)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4328, 4327])).
% 2.36/1.87 tff(4330,plain,
% 2.36/1.87 (trans(s144, s145)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4329, 4326, 21])).
% 2.36/1.87 tff(4331,plain,
% 2.36/1.87 (((~![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))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4332,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s144, s145)) | (~always3(s144)) | always3(s145))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4333,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s144, s145)) | (~always3(s144)) | always3(s145)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4332, 4331])).
% 2.36/1.87 tff(4334,plain,
% 2.36/1.87 ((~always3(s144)) | always3(s145)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4333, 38, 4330])).
% 2.36/1.87 tff(4335,plain,
% 2.36/1.87 (~always3(s144)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4334, 4323])).
% 2.36/1.87 tff(4336,plain,
% 2.36/1.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s163) | (~node4(s163)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s163) | (~node4(s163)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4337,plain,
% 2.36/1.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s163) | (~node4(s163)))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4338,plain,
% 2.36/1.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s163) | (~node4(s163))),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4337, 4336])).
% 2.36/1.87 tff(4339,plain,
% 2.36/1.87 (~node4(s163)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4338, 113, 4107])).
% 2.36/1.87 tff(4340,plain,
% 2.36/1.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s174) | (~node4(s174)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s174) | (~node4(s174)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4341,plain,
% 2.36/1.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s174) | (~node4(s174)))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4342,plain,
% 2.36/1.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s174) | (~node4(s174))),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4341, 4340])).
% 2.36/1.87 tff(4343,plain,
% 2.36/1.87 (~node4(s174)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4342, 113, 3975])).
% 2.36/1.87 tff(4344,assumption,(~xuntil6(s174)), introduced(assumption)).
% 2.36/1.87 tff(4345,plain,
% 2.36/1.87 (((~![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)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4346,plain,
% 2.36/1.87 ((node4(s174) | (~until5(s174)) | xuntil6(s174)) <=> (xuntil6(s174) | node4(s174) | (~until5(s174)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4347,plain,
% 2.36/1.87 (((~![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))))),
% 2.36/1.87 inference(monotonicity,[status(thm)],[4346])).
% 2.36/1.87 tff(4348,plain,
% 2.36/1.87 (((~![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)))),
% 2.36/1.87 inference(transitivity,[status(thm)],[4347, 4345])).
% 2.36/1.87 tff(4349,plain,
% 2.36/1.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s174) | (~until5(s174)) | xuntil6(s174))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4350,plain,
% 2.36/1.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s174) | node4(s174) | (~until5(s174))),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4349, 4348])).
% 2.36/1.87 tff(4351,plain,
% 2.36/1.87 (node4(s174) | (~until5(s174))),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4350, 225, 4344])).
% 2.36/1.87 tff(4352,plain,
% 2.36/1.87 (~until5(s174)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4351, 4343])).
% 2.36/1.87 tff(4353,plain,
% 2.36/1.87 (((~![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))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4354,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s173, s174)) | (~xuntil6(s173)) | until5(s174))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4355,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s173, s174)) | (~xuntil6(s173)) | until5(s174)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4354, 4353])).
% 2.36/1.87 tff(4356,plain,
% 2.36/1.87 ((~xuntil6(s173)) | until5(s174)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4355, 3978, 243])).
% 2.36/1.87 tff(4357,plain,
% 2.36/1.87 (~xuntil6(s173)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4356, 4352])).
% 2.36/1.87 tff(4358,assumption,(~always3(s173)), introduced(assumption)).
% 2.36/1.87 tff(4359,plain,
% 2.36/1.87 (~always3(s172)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[3998, 4358])).
% 2.36/1.87 tff(4360,plain,
% 2.36/1.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s172) | (~node4(s172)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s172) | (~node4(s172)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4361,plain,
% 2.36/1.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s172) | (~node4(s172)))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4362,plain,
% 2.36/1.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s172) | (~node4(s172))),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4361, 4360])).
% 2.36/1.87 tff(4363,plain,
% 2.36/1.87 (~node4(s172)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4362, 113, 4359])).
% 2.36/1.87 tff(4364,plain,
% 2.36/1.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s173) | (~node4(s173)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s173) | (~node4(s173)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4365,plain,
% 2.36/1.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s173) | (~node4(s173)))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4366,plain,
% 2.36/1.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s173) | (~node4(s173))),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4365, 4364])).
% 2.36/1.87 tff(4367,plain,
% 2.36/1.87 (~node4(s173)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4366, 113, 4358])).
% 2.36/1.87 tff(4368,assumption,(~xuntil6(s173)), introduced(assumption)).
% 2.36/1.87 tff(4369,plain,
% 2.36/1.87 (((~![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)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4370,plain,
% 2.36/1.87 ((node4(s173) | (~until5(s173)) | xuntil6(s173)) <=> (xuntil6(s173) | node4(s173) | (~until5(s173)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4371,plain,
% 2.36/1.87 (((~![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))))),
% 2.36/1.87 inference(monotonicity,[status(thm)],[4370])).
% 2.36/1.87 tff(4372,plain,
% 2.36/1.87 (((~![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)))),
% 2.36/1.87 inference(transitivity,[status(thm)],[4371, 4369])).
% 2.36/1.87 tff(4373,plain,
% 2.36/1.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s173) | (~until5(s173)) | xuntil6(s173))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4374,plain,
% 2.36/1.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s173) | node4(s173) | (~until5(s173))),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4373, 4372])).
% 2.36/1.87 tff(4375,plain,
% 2.36/1.87 (node4(s173) | (~until5(s173))),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4374, 225, 4368])).
% 2.36/1.87 tff(4376,plain,
% 2.36/1.87 (~until5(s173)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4375, 4367])).
% 2.36/1.87 tff(4377,plain,
% 2.36/1.87 (((~![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))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4378,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s172, s173)) | (~xuntil6(s172)) | until5(s173))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4379,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s172, s173)) | (~xuntil6(s172)) | until5(s173)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4378, 4377])).
% 2.36/1.87 tff(4380,plain,
% 2.36/1.87 ((~xuntil6(s172)) | until5(s173)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4379, 3990, 243])).
% 2.36/1.87 tff(4381,plain,
% 2.36/1.87 (~xuntil6(s172)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4380, 4376])).
% 2.36/1.87 tff(4382,plain,
% 2.36/1.87 (((~![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)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4383,plain,
% 2.36/1.87 ((node4(s172) | (~until5(s172)) | xuntil6(s172)) <=> (xuntil6(s172) | node4(s172) | (~until5(s172)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4384,plain,
% 2.36/1.87 (((~![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))))),
% 2.36/1.87 inference(monotonicity,[status(thm)],[4383])).
% 2.36/1.87 tff(4385,plain,
% 2.36/1.87 (((~![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)))),
% 2.36/1.87 inference(transitivity,[status(thm)],[4384, 4382])).
% 2.36/1.87 tff(4386,plain,
% 2.36/1.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s172) | (~until5(s172)) | xuntil6(s172))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4387,plain,
% 2.36/1.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s172) | node4(s172) | (~until5(s172))),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4386, 4385])).
% 2.36/1.87 tff(4388,plain,
% 2.36/1.87 (~until5(s172)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4387, 225, 4381, 4363])).
% 2.36/1.87 tff(4389,plain,
% 2.36/1.87 (((~![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))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4390,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s171, s172)) | (~xuntil6(s171)) | until5(s172))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4391,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s171, s172)) | (~xuntil6(s171)) | until5(s172)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4390, 4389])).
% 2.36/1.87 tff(4392,plain,
% 2.36/1.87 ((~xuntil6(s171)) | until5(s172)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4391, 4002, 243])).
% 2.36/1.87 tff(4393,plain,
% 2.36/1.87 (~xuntil6(s171)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4392, 4388])).
% 2.36/1.87 tff(4394,plain,
% 2.36/1.87 (~always3(s171)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4010, 4359])).
% 2.36/1.87 tff(4395,plain,
% 2.36/1.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s171) | (~node4(s171)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s171) | (~node4(s171)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4396,plain,
% 2.36/1.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s171) | (~node4(s171)))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4397,plain,
% 2.36/1.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s171) | (~node4(s171))),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4396, 4395])).
% 2.36/1.87 tff(4398,plain,
% 2.36/1.87 (~node4(s171)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4397, 113, 4394])).
% 2.36/1.87 tff(4399,plain,
% 2.36/1.87 (((~![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)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4400,plain,
% 2.36/1.87 ((node4(s171) | (~until5(s171)) | xuntil6(s171)) <=> (xuntil6(s171) | node4(s171) | (~until5(s171)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4401,plain,
% 2.36/1.87 (((~![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))))),
% 2.36/1.87 inference(monotonicity,[status(thm)],[4400])).
% 2.36/1.87 tff(4402,plain,
% 2.36/1.87 (((~![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)))),
% 2.36/1.87 inference(transitivity,[status(thm)],[4401, 4399])).
% 2.36/1.87 tff(4403,plain,
% 2.36/1.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s171) | (~until5(s171)) | xuntil6(s171))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4404,plain,
% 2.36/1.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s171) | node4(s171) | (~until5(s171))),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4403, 4402])).
% 2.36/1.87 tff(4405,plain,
% 2.36/1.87 (xuntil6(s171) | (~until5(s171))),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4404, 225, 4398])).
% 2.36/1.87 tff(4406,plain,
% 2.36/1.87 (~until5(s171)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4405, 4393])).
% 2.36/1.87 tff(4407,plain,
% 2.36/1.87 (((~![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))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4408,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s170, s171)) | (~xuntil6(s170)) | until5(s171))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4409,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s170, s171)) | (~xuntil6(s170)) | until5(s171)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4408, 4407])).
% 2.36/1.87 tff(4410,plain,
% 2.36/1.87 ((~xuntil6(s170)) | until5(s171)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4409, 4014, 243])).
% 2.36/1.87 tff(4411,plain,
% 2.36/1.87 (~xuntil6(s170)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4410, 4406])).
% 2.36/1.87 tff(4412,plain,
% 2.36/1.87 (~always3(s170)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4022, 4394])).
% 2.36/1.87 tff(4413,plain,
% 2.36/1.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s170) | (~node4(s170)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s170) | (~node4(s170)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4414,plain,
% 2.36/1.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s170) | (~node4(s170)))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4415,plain,
% 2.36/1.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s170) | (~node4(s170))),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4414, 4413])).
% 2.36/1.87 tff(4416,plain,
% 2.36/1.87 (~node4(s170)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4415, 113, 4412])).
% 2.36/1.87 tff(4417,plain,
% 2.36/1.87 (((~![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)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4418,plain,
% 2.36/1.87 ((node4(s170) | (~until5(s170)) | xuntil6(s170)) <=> (xuntil6(s170) | node4(s170) | (~until5(s170)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4419,plain,
% 2.36/1.87 (((~![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))))),
% 2.36/1.87 inference(monotonicity,[status(thm)],[4418])).
% 2.36/1.87 tff(4420,plain,
% 2.36/1.87 (((~![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)))),
% 2.36/1.87 inference(transitivity,[status(thm)],[4419, 4417])).
% 2.36/1.87 tff(4421,plain,
% 2.36/1.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s170) | (~until5(s170)) | xuntil6(s170))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4422,plain,
% 2.36/1.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s170) | node4(s170) | (~until5(s170))),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4421, 4420])).
% 2.36/1.87 tff(4423,plain,
% 2.36/1.87 (xuntil6(s170) | (~until5(s170))),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4422, 225, 4416])).
% 2.36/1.87 tff(4424,plain,
% 2.36/1.87 (~until5(s170)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4423, 4411])).
% 2.36/1.87 tff(4425,plain,
% 2.36/1.87 (((~![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))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4426,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s169, s170)) | (~xuntil6(s169)) | until5(s170))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4427,plain,
% 2.36/1.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s169, s170)) | (~xuntil6(s169)) | until5(s170)),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4426, 4425])).
% 2.36/1.87 tff(4428,plain,
% 2.36/1.87 ((~xuntil6(s169)) | until5(s170)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4427, 4026, 243])).
% 2.36/1.87 tff(4429,plain,
% 2.36/1.87 (~xuntil6(s169)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4428, 4424])).
% 2.36/1.87 tff(4430,plain,
% 2.36/1.87 (~always3(s169)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4034, 4412])).
% 2.36/1.87 tff(4431,plain,
% 2.36/1.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s169) | (~node4(s169)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s169) | (~node4(s169)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4432,plain,
% 2.36/1.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s169) | (~node4(s169)))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4433,plain,
% 2.36/1.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s169) | (~node4(s169))),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4432, 4431])).
% 2.36/1.87 tff(4434,plain,
% 2.36/1.87 (~node4(s169)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4433, 113, 4430])).
% 2.36/1.87 tff(4435,plain,
% 2.36/1.87 (((~![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)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4436,plain,
% 2.36/1.87 ((node4(s169) | (~until5(s169)) | xuntil6(s169)) <=> (xuntil6(s169) | node4(s169) | (~until5(s169)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4437,plain,
% 2.36/1.87 (((~![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))))),
% 2.36/1.87 inference(monotonicity,[status(thm)],[4436])).
% 2.36/1.87 tff(4438,plain,
% 2.36/1.87 (((~![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)))),
% 2.36/1.87 inference(transitivity,[status(thm)],[4437, 4435])).
% 2.36/1.87 tff(4439,plain,
% 2.36/1.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s169) | (~until5(s169)) | xuntil6(s169))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4440,plain,
% 2.36/1.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s169) | node4(s169) | (~until5(s169))),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4439, 4438])).
% 2.36/1.87 tff(4441,plain,
% 2.36/1.87 (xuntil6(s169) | (~until5(s169))),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4440, 225, 4434])).
% 2.36/1.87 tff(4442,plain,
% 2.36/1.87 (~until5(s169)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4441, 4429])).
% 2.36/1.87 tff(4443,plain,
% 2.36/1.87 (~always3(s168)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4046, 4430])).
% 2.36/1.87 tff(4444,plain,
% 2.36/1.87 (~always3(s167)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4058, 4443])).
% 2.36/1.87 tff(4445,plain,
% 2.36/1.87 (~always3(s166)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4070, 4444])).
% 2.36/1.87 tff(4446,plain,
% 2.36/1.87 (~always3(s165)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4082, 4445])).
% 2.36/1.87 tff(4447,plain,
% 2.36/1.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s165) | (~node4(s165)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s165) | (~node4(s165)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4448,plain,
% 2.36/1.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s165) | (~node4(s165)))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4449,plain,
% 2.36/1.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s165) | (~node4(s165))),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4448, 4447])).
% 2.36/1.87 tff(4450,plain,
% 2.36/1.87 (~node4(s165)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4449, 113, 4446])).
% 2.36/1.87 tff(4451,plain,
% 2.36/1.87 (~always3(s164)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4094, 4446])).
% 2.36/1.87 tff(4452,plain,
% 2.36/1.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s164) | (~node4(s164)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s164) | (~node4(s164)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4453,plain,
% 2.36/1.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s164) | (~node4(s164)))),
% 2.36/1.87 inference(quant_inst,[status(thm)],[])).
% 2.36/1.87 tff(4454,plain,
% 2.36/1.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s164) | (~node4(s164))),
% 2.36/1.87 inference(modus_ponens,[status(thm)],[4453, 4452])).
% 2.36/1.87 tff(4455,plain,
% 2.36/1.87 (~node4(s164)),
% 2.36/1.87 inference(unit_resolution,[status(thm)],[4454, 113, 4451])).
% 2.36/1.87 tff(4456,assumption,(until5(s164)), introduced(assumption)).
% 2.36/1.87 tff(4457,plain,
% 2.36/1.87 (((~![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)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4458,plain,
% 2.36/1.87 ((node4(s164) | (~until5(s164)) | xuntil6(s164)) <=> (xuntil6(s164) | node4(s164) | (~until5(s164)))),
% 2.36/1.87 inference(rewrite,[status(thm)],[])).
% 2.36/1.87 tff(4459,plain,
% 2.36/1.87 (((~![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))))),
% 2.36/1.87 inference(monotonicity,[status(thm)],[4458])).
% 2.36/1.87 tff(4460,plain,
% 2.36/1.87 (((~![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)))),
% 2.36/1.87 inference(transitivity,[status(thm)],[4459, 4457])).
% 2.36/1.87 tff(4461,plain,
% 2.36/1.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s164) | (~until5(s164)) | xuntil6(s164))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4462,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s164) | node4(s164) | (~until5(s164))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4461, 4460])).
% 2.36/1.88 tff(4463,plain,
% 2.36/1.88 (xuntil6(s164) | node4(s164)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4462, 225, 4456])).
% 2.36/1.88 tff(4464,plain,
% 2.36/1.88 (xuntil6(s164)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4463, 4455])).
% 2.36/1.88 tff(4465,plain,
% 2.36/1.88 (((~![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))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4466,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s164, s165)) | (~xuntil6(s164)) | until5(s165))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4467,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s164, s165)) | (~xuntil6(s164)) | until5(s165)),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4466, 4465])).
% 2.36/1.88 tff(4468,plain,
% 2.36/1.88 ((~xuntil6(s164)) | until5(s165)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4467, 4086, 243])).
% 2.36/1.88 tff(4469,plain,
% 2.36/1.88 (until5(s165)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4468, 4464])).
% 2.36/1.88 tff(4470,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4471,plain,
% 2.36/1.88 ((node4(s165) | (~until5(s165)) | xuntil6(s165)) <=> (xuntil6(s165) | node4(s165) | (~until5(s165)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4472,plain,
% 2.36/1.88 (((~![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))))),
% 2.36/1.88 inference(monotonicity,[status(thm)],[4471])).
% 2.36/1.88 tff(4473,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(transitivity,[status(thm)],[4472, 4470])).
% 2.36/1.88 tff(4474,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s165) | (~until5(s165)) | xuntil6(s165))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4475,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s165) | node4(s165) | (~until5(s165))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4474, 4473])).
% 2.36/1.88 tff(4476,plain,
% 2.36/1.88 (xuntil6(s165)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4475, 225, 4469, 4450])).
% 2.36/1.88 tff(4477,plain,
% 2.36/1.88 (((~![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))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4478,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s165, s166)) | (~xuntil6(s165)) | until5(s166))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4479,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s165, s166)) | (~xuntil6(s165)) | until5(s166)),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4478, 4477])).
% 2.36/1.88 tff(4480,plain,
% 2.36/1.88 ((~xuntil6(s165)) | until5(s166)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4479, 4074, 243])).
% 2.36/1.88 tff(4481,plain,
% 2.36/1.88 (until5(s166)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4480, 4476])).
% 2.36/1.88 tff(4482,plain,
% 2.36/1.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s166) | (~node4(s166)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s166) | (~node4(s166)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4483,plain,
% 2.36/1.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s166) | (~node4(s166)))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4484,plain,
% 2.36/1.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s166) | (~node4(s166))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4483, 4482])).
% 2.36/1.88 tff(4485,plain,
% 2.36/1.88 (~node4(s166)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4484, 113, 4445])).
% 2.36/1.88 tff(4486,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4487,plain,
% 2.36/1.88 ((node4(s166) | (~until5(s166)) | xuntil6(s166)) <=> (xuntil6(s166) | node4(s166) | (~until5(s166)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4488,plain,
% 2.36/1.88 (((~![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))))),
% 2.36/1.88 inference(monotonicity,[status(thm)],[4487])).
% 2.36/1.88 tff(4489,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(transitivity,[status(thm)],[4488, 4486])).
% 2.36/1.88 tff(4490,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s166) | (~until5(s166)) | xuntil6(s166))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4491,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s166) | node4(s166) | (~until5(s166))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4490, 4489])).
% 2.36/1.88 tff(4492,plain,
% 2.36/1.88 (xuntil6(s166) | (~until5(s166))),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4491, 225, 4485])).
% 2.36/1.88 tff(4493,plain,
% 2.36/1.88 (xuntil6(s166)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4492, 4481])).
% 2.36/1.88 tff(4494,plain,
% 2.36/1.88 (((~![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))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4495,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s166, s167)) | (~xuntil6(s166)) | until5(s167))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4496,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s166, s167)) | (~xuntil6(s166)) | until5(s167)),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4495, 4494])).
% 2.36/1.88 tff(4497,plain,
% 2.36/1.88 ((~xuntil6(s166)) | until5(s167)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4496, 4062, 243])).
% 2.36/1.88 tff(4498,plain,
% 2.36/1.88 (until5(s167)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4497, 4493])).
% 2.36/1.88 tff(4499,plain,
% 2.36/1.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s167) | (~node4(s167)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s167) | (~node4(s167)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4500,plain,
% 2.36/1.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s167) | (~node4(s167)))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4501,plain,
% 2.36/1.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s167) | (~node4(s167))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4500, 4499])).
% 2.36/1.88 tff(4502,plain,
% 2.36/1.88 (~node4(s167)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4501, 113, 4444])).
% 2.36/1.88 tff(4503,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4504,plain,
% 2.36/1.88 ((node4(s167) | (~until5(s167)) | xuntil6(s167)) <=> (xuntil6(s167) | node4(s167) | (~until5(s167)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4505,plain,
% 2.36/1.88 (((~![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))))),
% 2.36/1.88 inference(monotonicity,[status(thm)],[4504])).
% 2.36/1.88 tff(4506,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(transitivity,[status(thm)],[4505, 4503])).
% 2.36/1.88 tff(4507,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s167) | (~until5(s167)) | xuntil6(s167))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4508,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s167) | node4(s167) | (~until5(s167))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4507, 4506])).
% 2.36/1.88 tff(4509,plain,
% 2.36/1.88 (xuntil6(s167) | (~until5(s167))),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4508, 225, 4502])).
% 2.36/1.88 tff(4510,plain,
% 2.36/1.88 (xuntil6(s167)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4509, 4498])).
% 2.36/1.88 tff(4511,plain,
% 2.36/1.88 (((~![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))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4512,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s167, s168)) | (~xuntil6(s167)) | until5(s168))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4513,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s167, s168)) | (~xuntil6(s167)) | until5(s168)),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4512, 4511])).
% 2.36/1.88 tff(4514,plain,
% 2.36/1.88 ((~xuntil6(s167)) | until5(s168)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4513, 4050, 243])).
% 2.36/1.88 tff(4515,plain,
% 2.36/1.88 (until5(s168)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4514, 4510])).
% 2.36/1.88 tff(4516,plain,
% 2.36/1.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s168) | (~node4(s168)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s168) | (~node4(s168)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4517,plain,
% 2.36/1.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s168) | (~node4(s168)))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4518,plain,
% 2.36/1.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s168) | (~node4(s168))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4517, 4516])).
% 2.36/1.88 tff(4519,plain,
% 2.36/1.88 (~node4(s168)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4518, 113, 4443])).
% 2.36/1.88 tff(4520,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4521,plain,
% 2.36/1.88 ((node4(s168) | (~until5(s168)) | xuntil6(s168)) <=> (xuntil6(s168) | node4(s168) | (~until5(s168)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4522,plain,
% 2.36/1.88 (((~![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))))),
% 2.36/1.88 inference(monotonicity,[status(thm)],[4521])).
% 2.36/1.88 tff(4523,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(transitivity,[status(thm)],[4522, 4520])).
% 2.36/1.88 tff(4524,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s168) | (~until5(s168)) | xuntil6(s168))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4525,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s168) | node4(s168) | (~until5(s168))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4524, 4523])).
% 2.36/1.88 tff(4526,plain,
% 2.36/1.88 (xuntil6(s168) | (~until5(s168))),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4525, 225, 4519])).
% 2.36/1.88 tff(4527,plain,
% 2.36/1.88 (xuntil6(s168)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4526, 4515])).
% 2.36/1.88 tff(4528,plain,
% 2.36/1.88 (((~![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))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4529,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s168, s169)) | (~xuntil6(s168)) | until5(s169))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4530,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s168, s169)) | (~xuntil6(s168)) | until5(s169)),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4529, 4528])).
% 2.36/1.88 tff(4531,plain,
% 2.36/1.88 ((~xuntil6(s168)) | until5(s169)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4530, 4038, 243])).
% 2.36/1.88 tff(4532,plain,
% 2.36/1.88 ($false),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4531, 4527, 4442])).
% 2.36/1.88 tff(4533,plain,(always3(s173) | (~until5(s164)) | xuntil6(s173)), inference(lemma,lemma(discharge,[]))).
% 2.36/1.88 tff(4534,plain,
% 2.36/1.88 (~until5(s164)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4533, 4357, 3987])).
% 2.36/1.88 tff(4535,plain,
% 2.36/1.88 (((~![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))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4536,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s163, s164)) | (~xuntil6(s163)) | until5(s164))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4537,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s163, s164)) | (~xuntil6(s163)) | until5(s164)),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4536, 4535])).
% 2.36/1.88 tff(4538,plain,
% 2.36/1.88 ((~xuntil6(s163)) | until5(s164)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4537, 4098, 243])).
% 2.36/1.88 tff(4539,plain,
% 2.36/1.88 (~xuntil6(s163)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4538, 4534])).
% 2.36/1.88 tff(4540,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4541,plain,
% 2.36/1.88 ((node4(s163) | (~until5(s163)) | xuntil6(s163)) <=> (xuntil6(s163) | node4(s163) | (~until5(s163)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4542,plain,
% 2.36/1.88 (((~![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))))),
% 2.36/1.88 inference(monotonicity,[status(thm)],[4541])).
% 2.36/1.88 tff(4543,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(transitivity,[status(thm)],[4542, 4540])).
% 2.36/1.88 tff(4544,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s163) | (~until5(s163)) | xuntil6(s163))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4545,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s163) | node4(s163) | (~until5(s163))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4544, 4543])).
% 2.36/1.88 tff(4546,plain,
% 2.36/1.88 (~until5(s163)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4545, 225, 4539, 4339])).
% 2.36/1.88 tff(4547,plain,
% 2.36/1.88 (((~![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))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4548,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s162, s163)) | (~xuntil6(s162)) | until5(s163))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4549,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s162, s163)) | (~xuntil6(s162)) | until5(s163)),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4548, 4547])).
% 2.36/1.88 tff(4550,plain,
% 2.36/1.88 ((~xuntil6(s162)) | until5(s163)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4549, 4110, 243])).
% 2.36/1.88 tff(4551,plain,
% 2.36/1.88 (~xuntil6(s162)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4550, 4546])).
% 2.36/1.88 tff(4552,assumption,(node4(s162)), introduced(assumption)).
% 2.36/1.88 tff(4553,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4554,plain,
% 2.36/1.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s162) | (~node4(s162)))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4555,plain,
% 2.36/1.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s162) | (~node4(s162))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4554, 4553])).
% 2.36/1.88 tff(4556,plain,
% 2.36/1.88 (m_main_v_request(s162)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4555, 63, 4552])).
% 2.36/1.88 tff(4557,plain,
% 2.36/1.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s162) | (~node4(s162)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s162) | (~node4(s162)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4558,plain,
% 2.36/1.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s162) | (~node4(s162)))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4559,plain,
% 2.36/1.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s162) | (~node4(s162))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4558, 4557])).
% 2.36/1.88 tff(4560,plain,
% 2.36/1.88 (always3(s162)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4559, 113, 4552])).
% 2.36/1.88 tff(4561,plain,
% 2.36/1.88 (always3(s163)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4118, 4560])).
% 2.36/1.88 tff(4562,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4563,plain,
% 2.36/1.88 (((~m_main_v_state(s163, c_busy)) | (~always3(s163))) <=> ((~always3(s163)) | (~m_main_v_state(s163, c_busy)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4564,plain,
% 2.36/1.88 (((~![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))))),
% 2.36/1.88 inference(monotonicity,[status(thm)],[4563])).
% 2.36/1.88 tff(4565,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(transitivity,[status(thm)],[4564, 4562])).
% 2.36/1.88 tff(4566,plain,
% 2.36/1.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s163, c_busy)) | (~always3(s163)))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4567,plain,
% 2.36/1.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s163)) | (~m_main_v_state(s163, c_busy))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4566, 4565])).
% 2.36/1.88 tff(4568,plain,
% 2.36/1.88 (~m_main_v_state(s163, c_busy)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4567, 145, 4561])).
% 2.36/1.88 tff(4569,plain,
% 2.36/1.88 (((~![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))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4570,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s162, s163)) | node2(s162, s163))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4571,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s162, s163)) | node2(s162, s163)),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4570, 4569])).
% 2.36/1.88 tff(4572,plain,
% 2.36/1.88 (node2(s162, s163)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4571, 7, 4114])).
% 2.36/1.88 tff(4573,plain,
% 2.36/1.88 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4574,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s162, c_ready)) | (~node2(s162, s163)) | m_main_v_state(s163, c_busy) | (~m_main_v_request(s162)))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4575,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s162, c_ready)) | (~node2(s162, s163)) | m_main_v_state(s163, c_busy) | (~m_main_v_request(s162))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4574, 4573])).
% 2.36/1.88 tff(4576,plain,
% 2.36/1.88 ((~m_main_v_state(s162, c_ready)) | m_main_v_state(s163, c_busy) | (~m_main_v_request(s162))),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4575, 166, 4572])).
% 2.36/1.88 tff(4577,plain,
% 2.36/1.88 (~m_main_v_state(s162, c_ready)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4576, 4568, 4556])).
% 2.36/1.88 tff(4578,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4579,plain,
% 2.36/1.88 (((~m_main_v_state(s162, c_busy)) | (~always3(s162))) <=> ((~always3(s162)) | (~m_main_v_state(s162, c_busy)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4580,plain,
% 2.36/1.88 (((~![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))))),
% 2.36/1.88 inference(monotonicity,[status(thm)],[4579])).
% 2.36/1.88 tff(4581,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(transitivity,[status(thm)],[4580, 4578])).
% 2.36/1.88 tff(4582,plain,
% 2.36/1.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s162, c_busy)) | (~always3(s162)))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4583,plain,
% 2.36/1.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s162)) | (~m_main_v_state(s162, c_busy))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4582, 4581])).
% 2.36/1.88 tff(4584,plain,
% 2.36/1.88 (~m_main_v_state(s162, c_busy)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4583, 145, 4560])).
% 2.36/1.88 tff(4585,plain,
% 2.36/1.88 (((~![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))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4586,plain,
% 2.36/1.88 ((~![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))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4587,plain,
% 2.36/1.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s162, c_busy) | m_main_v_state(s162, c_ready)),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4586, 4585])).
% 2.36/1.88 tff(4588,plain,
% 2.36/1.88 ($false),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4587, 188, 4584, 4577])).
% 2.36/1.88 tff(4589,plain,(~node4(s162)), inference(lemma,lemma(discharge,[]))).
% 2.36/1.88 tff(4590,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4591,plain,
% 2.36/1.88 ((node4(s162) | (~until5(s162)) | xuntil6(s162)) <=> (xuntil6(s162) | node4(s162) | (~until5(s162)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4592,plain,
% 2.36/1.88 (((~![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))))),
% 2.36/1.88 inference(monotonicity,[status(thm)],[4591])).
% 2.36/1.88 tff(4593,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(transitivity,[status(thm)],[4592, 4590])).
% 2.36/1.88 tff(4594,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s162) | (~until5(s162)) | xuntil6(s162))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4595,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s162) | node4(s162) | (~until5(s162))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4594, 4593])).
% 2.36/1.88 tff(4596,plain,
% 2.36/1.88 (xuntil6(s162) | (~until5(s162))),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4595, 225, 4589])).
% 2.36/1.88 tff(4597,plain,
% 2.36/1.88 (~until5(s162)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4596, 4551])).
% 2.36/1.88 tff(4598,plain,
% 2.36/1.88 (((~![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))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4599,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s161, s162)) | (~xuntil6(s161)) | until5(s162))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4600,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s161, s162)) | (~xuntil6(s161)) | until5(s162)),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4599, 4598])).
% 2.36/1.88 tff(4601,plain,
% 2.36/1.88 ((~xuntil6(s161)) | until5(s162)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4600, 4122, 243])).
% 2.36/1.88 tff(4602,plain,
% 2.36/1.88 (~xuntil6(s161)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4601, 4597])).
% 2.36/1.88 tff(4603,assumption,(~always3(s161)), introduced(assumption)).
% 2.36/1.88 tff(4604,plain,
% 2.36/1.88 (~always3(s160)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4142, 4603])).
% 2.36/1.88 tff(4605,plain,
% 2.36/1.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s160) | (~node4(s160)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s160) | (~node4(s160)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4606,plain,
% 2.36/1.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s160) | (~node4(s160)))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4607,plain,
% 2.36/1.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s160) | (~node4(s160))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4606, 4605])).
% 2.36/1.88 tff(4608,plain,
% 2.36/1.88 (~node4(s160)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4607, 113, 4604])).
% 2.36/1.88 tff(4609,plain,
% 2.36/1.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s161) | (~node4(s161)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s161) | (~node4(s161)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4610,plain,
% 2.36/1.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s161) | (~node4(s161)))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4611,plain,
% 2.36/1.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s161) | (~node4(s161))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4610, 4609])).
% 2.36/1.88 tff(4612,plain,
% 2.36/1.88 (~node4(s161)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4611, 113, 4603])).
% 2.36/1.88 tff(4613,assumption,(~xuntil6(s161)), introduced(assumption)).
% 2.36/1.88 tff(4614,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4615,plain,
% 2.36/1.88 ((node4(s161) | (~until5(s161)) | xuntil6(s161)) <=> (xuntil6(s161) | node4(s161) | (~until5(s161)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4616,plain,
% 2.36/1.88 (((~![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))))),
% 2.36/1.88 inference(monotonicity,[status(thm)],[4615])).
% 2.36/1.88 tff(4617,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(transitivity,[status(thm)],[4616, 4614])).
% 2.36/1.88 tff(4618,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s161) | (~until5(s161)) | xuntil6(s161))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4619,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s161) | node4(s161) | (~until5(s161))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4618, 4617])).
% 2.36/1.88 tff(4620,plain,
% 2.36/1.88 (node4(s161) | (~until5(s161))),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4619, 225, 4613])).
% 2.36/1.88 tff(4621,plain,
% 2.36/1.88 (~until5(s161)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4620, 4612])).
% 2.36/1.88 tff(4622,plain,
% 2.36/1.88 (((~![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))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4623,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s160, s161)) | (~xuntil6(s160)) | until5(s161))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4624,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s160, s161)) | (~xuntil6(s160)) | until5(s161)),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4623, 4622])).
% 2.36/1.88 tff(4625,plain,
% 2.36/1.88 ((~xuntil6(s160)) | until5(s161)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4624, 4134, 243])).
% 2.36/1.88 tff(4626,plain,
% 2.36/1.88 (~xuntil6(s160)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4625, 4621])).
% 2.36/1.88 tff(4627,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4628,plain,
% 2.36/1.88 ((node4(s160) | (~until5(s160)) | xuntil6(s160)) <=> (xuntil6(s160) | node4(s160) | (~until5(s160)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4629,plain,
% 2.36/1.88 (((~![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))))),
% 2.36/1.88 inference(monotonicity,[status(thm)],[4628])).
% 2.36/1.88 tff(4630,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(transitivity,[status(thm)],[4629, 4627])).
% 2.36/1.88 tff(4631,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s160) | (~until5(s160)) | xuntil6(s160))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4632,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s160) | node4(s160) | (~until5(s160))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4631, 4630])).
% 2.36/1.88 tff(4633,plain,
% 2.36/1.88 (~until5(s160)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4632, 225, 4626, 4608])).
% 2.36/1.88 tff(4634,plain,
% 2.36/1.88 (((~![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))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4635,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s159, s160)) | (~xuntil6(s159)) | until5(s160))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4636,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s159, s160)) | (~xuntil6(s159)) | until5(s160)),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4635, 4634])).
% 2.36/1.88 tff(4637,plain,
% 2.36/1.88 ((~xuntil6(s159)) | until5(s160)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4636, 4146, 243])).
% 2.36/1.88 tff(4638,plain,
% 2.36/1.88 (~xuntil6(s159)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4637, 4633])).
% 2.36/1.88 tff(4639,plain,
% 2.36/1.88 (~always3(s159)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4154, 4604])).
% 2.36/1.88 tff(4640,plain,
% 2.36/1.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s159) | (~node4(s159)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s159) | (~node4(s159)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4641,plain,
% 2.36/1.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s159) | (~node4(s159)))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4642,plain,
% 2.36/1.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s159) | (~node4(s159))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4641, 4640])).
% 2.36/1.88 tff(4643,plain,
% 2.36/1.88 (~node4(s159)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4642, 113, 4639])).
% 2.36/1.88 tff(4644,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4645,plain,
% 2.36/1.88 ((node4(s159) | (~until5(s159)) | xuntil6(s159)) <=> (xuntil6(s159) | node4(s159) | (~until5(s159)))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4646,plain,
% 2.36/1.88 (((~![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))))),
% 2.36/1.88 inference(monotonicity,[status(thm)],[4645])).
% 2.36/1.88 tff(4647,plain,
% 2.36/1.88 (((~![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)))),
% 2.36/1.88 inference(transitivity,[status(thm)],[4646, 4644])).
% 2.36/1.88 tff(4648,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s159) | (~until5(s159)) | xuntil6(s159))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4649,plain,
% 2.36/1.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s159) | node4(s159) | (~until5(s159))),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4648, 4647])).
% 2.36/1.88 tff(4650,plain,
% 2.36/1.88 (xuntil6(s159) | (~until5(s159))),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4649, 225, 4643])).
% 2.36/1.88 tff(4651,plain,
% 2.36/1.88 (~until5(s159)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4650, 4638])).
% 2.36/1.88 tff(4652,plain,
% 2.36/1.88 (((~![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))),
% 2.36/1.88 inference(rewrite,[status(thm)],[])).
% 2.36/1.88 tff(4653,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s158, s159)) | (~xuntil6(s158)) | until5(s159))),
% 2.36/1.88 inference(quant_inst,[status(thm)],[])).
% 2.36/1.88 tff(4654,plain,
% 2.36/1.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s158, s159)) | (~xuntil6(s158)) | until5(s159)),
% 2.36/1.88 inference(modus_ponens,[status(thm)],[4653, 4652])).
% 2.36/1.88 tff(4655,plain,
% 2.36/1.88 ((~xuntil6(s158)) | until5(s159)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4654, 4158, 243])).
% 2.36/1.88 tff(4656,plain,
% 2.36/1.88 (~xuntil6(s158)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4655, 4651])).
% 2.36/1.88 tff(4657,plain,
% 2.36/1.88 (~always3(s158)),
% 2.36/1.88 inference(unit_resolution,[status(thm)],[4166, 4639])).
% 2.36/1.88 tff(4658,plain,
% 2.36/1.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s158) | (~node4(s158)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s158) | (~node4(s158)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4659,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s158) | (~node4(s158)))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4660,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s158) | (~node4(s158))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4659, 4658])).
% 2.36/1.89 tff(4661,plain,
% 2.36/1.89 (~node4(s158)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4660, 113, 4657])).
% 2.36/1.89 tff(4662,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4663,plain,
% 2.36/1.89 ((node4(s158) | (~until5(s158)) | xuntil6(s158)) <=> (xuntil6(s158) | node4(s158) | (~until5(s158)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4664,plain,
% 2.36/1.89 (((~![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))))),
% 2.36/1.89 inference(monotonicity,[status(thm)],[4663])).
% 2.36/1.89 tff(4665,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(transitivity,[status(thm)],[4664, 4662])).
% 2.36/1.89 tff(4666,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s158) | (~until5(s158)) | xuntil6(s158))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4667,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s158) | node4(s158) | (~until5(s158))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4666, 4665])).
% 2.36/1.89 tff(4668,plain,
% 2.36/1.89 (xuntil6(s158) | (~until5(s158))),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4667, 225, 4661])).
% 2.36/1.89 tff(4669,plain,
% 2.36/1.89 (~until5(s158)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4668, 4656])).
% 2.36/1.89 tff(4670,plain,
% 2.36/1.89 (((~![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))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4671,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s157, s158)) | (~xuntil6(s157)) | until5(s158))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4672,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s157, s158)) | (~xuntil6(s157)) | until5(s158)),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4671, 4670])).
% 2.36/1.89 tff(4673,plain,
% 2.36/1.89 ((~xuntil6(s157)) | until5(s158)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4672, 4170, 243])).
% 2.36/1.89 tff(4674,plain,
% 2.36/1.89 (~xuntil6(s157)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4673, 4669])).
% 2.36/1.89 tff(4675,plain,
% 2.36/1.89 (~always3(s157)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4178, 4657])).
% 2.36/1.89 tff(4676,plain,
% 2.36/1.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s157) | (~node4(s157)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s157) | (~node4(s157)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4677,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s157) | (~node4(s157)))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4678,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s157) | (~node4(s157))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4677, 4676])).
% 2.36/1.89 tff(4679,plain,
% 2.36/1.89 (~node4(s157)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4678, 113, 4675])).
% 2.36/1.89 tff(4680,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4681,plain,
% 2.36/1.89 ((node4(s157) | (~until5(s157)) | xuntil6(s157)) <=> (xuntil6(s157) | node4(s157) | (~until5(s157)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4682,plain,
% 2.36/1.89 (((~![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))))),
% 2.36/1.89 inference(monotonicity,[status(thm)],[4681])).
% 2.36/1.89 tff(4683,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(transitivity,[status(thm)],[4682, 4680])).
% 2.36/1.89 tff(4684,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s157) | (~until5(s157)) | xuntil6(s157))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4685,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s157) | node4(s157) | (~until5(s157))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4684, 4683])).
% 2.36/1.89 tff(4686,plain,
% 2.36/1.89 (xuntil6(s157) | (~until5(s157))),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4685, 225, 4679])).
% 2.36/1.89 tff(4687,plain,
% 2.36/1.89 (~until5(s157)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4686, 4674])).
% 2.36/1.89 tff(4688,plain,
% 2.36/1.89 (~always3(s156)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4190, 4675])).
% 2.36/1.89 tff(4689,plain,
% 2.36/1.89 (~always3(s155)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4202, 4688])).
% 2.36/1.89 tff(4690,plain,
% 2.36/1.89 (~always3(s154)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4214, 4689])).
% 2.36/1.89 tff(4691,plain,
% 2.36/1.89 (~always3(s153)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4226, 4690])).
% 2.36/1.89 tff(4692,plain,
% 2.36/1.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s153) | (~node4(s153)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s153) | (~node4(s153)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4693,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s153) | (~node4(s153)))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4694,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s153) | (~node4(s153))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4693, 4692])).
% 2.36/1.89 tff(4695,plain,
% 2.36/1.89 (~node4(s153)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4694, 113, 4691])).
% 2.36/1.89 tff(4696,plain,
% 2.36/1.89 (~always3(s152)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4238, 4691])).
% 2.36/1.89 tff(4697,plain,
% 2.36/1.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s152) | (~node4(s152)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s152) | (~node4(s152)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4698,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s152) | (~node4(s152)))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4699,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s152) | (~node4(s152))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4698, 4697])).
% 2.36/1.89 tff(4700,plain,
% 2.36/1.89 (~node4(s152)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4699, 113, 4696])).
% 2.36/1.89 tff(4701,assumption,(until5(s152)), introduced(assumption)).
% 2.36/1.89 tff(4702,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4703,plain,
% 2.36/1.89 ((node4(s152) | (~until5(s152)) | xuntil6(s152)) <=> (xuntil6(s152) | node4(s152) | (~until5(s152)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4704,plain,
% 2.36/1.89 (((~![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))))),
% 2.36/1.89 inference(monotonicity,[status(thm)],[4703])).
% 2.36/1.89 tff(4705,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(transitivity,[status(thm)],[4704, 4702])).
% 2.36/1.89 tff(4706,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s152) | (~until5(s152)) | xuntil6(s152))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4707,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s152) | node4(s152) | (~until5(s152))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4706, 4705])).
% 2.36/1.89 tff(4708,plain,
% 2.36/1.89 (xuntil6(s152) | node4(s152)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4707, 225, 4701])).
% 2.36/1.89 tff(4709,plain,
% 2.36/1.89 (xuntil6(s152)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4708, 4700])).
% 2.36/1.89 tff(4710,plain,
% 2.36/1.89 (((~![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))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4711,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s152, s153)) | (~xuntil6(s152)) | until5(s153))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4712,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s152, s153)) | (~xuntil6(s152)) | until5(s153)),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4711, 4710])).
% 2.36/1.89 tff(4713,plain,
% 2.36/1.89 ((~xuntil6(s152)) | until5(s153)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4712, 4230, 243])).
% 2.36/1.89 tff(4714,plain,
% 2.36/1.89 (until5(s153)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4713, 4709])).
% 2.36/1.89 tff(4715,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4716,plain,
% 2.36/1.89 ((node4(s153) | (~until5(s153)) | xuntil6(s153)) <=> (xuntil6(s153) | node4(s153) | (~until5(s153)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4717,plain,
% 2.36/1.89 (((~![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))))),
% 2.36/1.89 inference(monotonicity,[status(thm)],[4716])).
% 2.36/1.89 tff(4718,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(transitivity,[status(thm)],[4717, 4715])).
% 2.36/1.89 tff(4719,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s153) | (~until5(s153)) | xuntil6(s153))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4720,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s153) | node4(s153) | (~until5(s153))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4719, 4718])).
% 2.36/1.89 tff(4721,plain,
% 2.36/1.89 (xuntil6(s153)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4720, 225, 4714, 4695])).
% 2.36/1.89 tff(4722,plain,
% 2.36/1.89 (((~![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))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4723,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s153, s154)) | (~xuntil6(s153)) | until5(s154))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4724,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s153, s154)) | (~xuntil6(s153)) | until5(s154)),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4723, 4722])).
% 2.36/1.89 tff(4725,plain,
% 2.36/1.89 ((~xuntil6(s153)) | until5(s154)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4724, 4218, 243])).
% 2.36/1.89 tff(4726,plain,
% 2.36/1.89 (until5(s154)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4725, 4721])).
% 2.36/1.89 tff(4727,plain,
% 2.36/1.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s154) | (~node4(s154)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s154) | (~node4(s154)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4728,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s154) | (~node4(s154)))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4729,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s154) | (~node4(s154))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4728, 4727])).
% 2.36/1.89 tff(4730,plain,
% 2.36/1.89 (~node4(s154)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4729, 113, 4690])).
% 2.36/1.89 tff(4731,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4732,plain,
% 2.36/1.89 ((node4(s154) | (~until5(s154)) | xuntil6(s154)) <=> (xuntil6(s154) | node4(s154) | (~until5(s154)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4733,plain,
% 2.36/1.89 (((~![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))))),
% 2.36/1.89 inference(monotonicity,[status(thm)],[4732])).
% 2.36/1.89 tff(4734,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(transitivity,[status(thm)],[4733, 4731])).
% 2.36/1.89 tff(4735,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s154) | (~until5(s154)) | xuntil6(s154))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4736,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s154) | node4(s154) | (~until5(s154))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4735, 4734])).
% 2.36/1.89 tff(4737,plain,
% 2.36/1.89 (xuntil6(s154) | (~until5(s154))),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4736, 225, 4730])).
% 2.36/1.89 tff(4738,plain,
% 2.36/1.89 (xuntil6(s154)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4737, 4726])).
% 2.36/1.89 tff(4739,plain,
% 2.36/1.89 (((~![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))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4740,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s154, s155)) | (~xuntil6(s154)) | until5(s155))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4741,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s154, s155)) | (~xuntil6(s154)) | until5(s155)),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4740, 4739])).
% 2.36/1.89 tff(4742,plain,
% 2.36/1.89 ((~xuntil6(s154)) | until5(s155)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4741, 4206, 243])).
% 2.36/1.89 tff(4743,plain,
% 2.36/1.89 (until5(s155)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4742, 4738])).
% 2.36/1.89 tff(4744,plain,
% 2.36/1.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s155) | (~node4(s155)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s155) | (~node4(s155)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4745,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s155) | (~node4(s155)))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4746,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s155) | (~node4(s155))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4745, 4744])).
% 2.36/1.89 tff(4747,plain,
% 2.36/1.89 (~node4(s155)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4746, 113, 4689])).
% 2.36/1.89 tff(4748,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4749,plain,
% 2.36/1.89 ((node4(s155) | (~until5(s155)) | xuntil6(s155)) <=> (xuntil6(s155) | node4(s155) | (~until5(s155)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4750,plain,
% 2.36/1.89 (((~![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))))),
% 2.36/1.89 inference(monotonicity,[status(thm)],[4749])).
% 2.36/1.89 tff(4751,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(transitivity,[status(thm)],[4750, 4748])).
% 2.36/1.89 tff(4752,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s155) | (~until5(s155)) | xuntil6(s155))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4753,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s155) | node4(s155) | (~until5(s155))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4752, 4751])).
% 2.36/1.89 tff(4754,plain,
% 2.36/1.89 (xuntil6(s155) | (~until5(s155))),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4753, 225, 4747])).
% 2.36/1.89 tff(4755,plain,
% 2.36/1.89 (xuntil6(s155)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4754, 4743])).
% 2.36/1.89 tff(4756,plain,
% 2.36/1.89 (((~![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))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4757,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s155, s156)) | (~xuntil6(s155)) | until5(s156))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4758,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s155, s156)) | (~xuntil6(s155)) | until5(s156)),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4757, 4756])).
% 2.36/1.89 tff(4759,plain,
% 2.36/1.89 ((~xuntil6(s155)) | until5(s156)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4758, 4194, 243])).
% 2.36/1.89 tff(4760,plain,
% 2.36/1.89 (until5(s156)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4759, 4755])).
% 2.36/1.89 tff(4761,plain,
% 2.36/1.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s156) | (~node4(s156)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s156) | (~node4(s156)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4762,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s156) | (~node4(s156)))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4763,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s156) | (~node4(s156))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4762, 4761])).
% 2.36/1.89 tff(4764,plain,
% 2.36/1.89 (~node4(s156)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4763, 113, 4688])).
% 2.36/1.89 tff(4765,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4766,plain,
% 2.36/1.89 ((node4(s156) | (~until5(s156)) | xuntil6(s156)) <=> (xuntil6(s156) | node4(s156) | (~until5(s156)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4767,plain,
% 2.36/1.89 (((~![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))))),
% 2.36/1.89 inference(monotonicity,[status(thm)],[4766])).
% 2.36/1.89 tff(4768,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(transitivity,[status(thm)],[4767, 4765])).
% 2.36/1.89 tff(4769,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s156) | (~until5(s156)) | xuntil6(s156))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4770,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s156) | node4(s156) | (~until5(s156))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4769, 4768])).
% 2.36/1.89 tff(4771,plain,
% 2.36/1.89 (xuntil6(s156) | (~until5(s156))),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4770, 225, 4764])).
% 2.36/1.89 tff(4772,plain,
% 2.36/1.89 (xuntil6(s156)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4771, 4760])).
% 2.36/1.89 tff(4773,plain,
% 2.36/1.89 (((~![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))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4774,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s156, s157)) | (~xuntil6(s156)) | until5(s157))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4775,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s156, s157)) | (~xuntil6(s156)) | until5(s157)),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4774, 4773])).
% 2.36/1.89 tff(4776,plain,
% 2.36/1.89 ((~xuntil6(s156)) | until5(s157)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4775, 4182, 243])).
% 2.36/1.89 tff(4777,plain,
% 2.36/1.89 ($false),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4776, 4772, 4687])).
% 2.36/1.89 tff(4778,plain,(always3(s161) | (~until5(s152)) | xuntil6(s161)), inference(lemma,lemma(discharge,[]))).
% 2.36/1.89 tff(4779,plain,
% 2.36/1.89 (~until5(s152)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4778, 4602, 4131])).
% 2.36/1.89 tff(4780,plain,
% 2.36/1.89 (((~![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))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4781,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s151, s152)) | (~xuntil6(s151)) | until5(s152))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4782,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s151, s152)) | (~xuntil6(s151)) | until5(s152)),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4781, 4780])).
% 2.36/1.89 tff(4783,plain,
% 2.36/1.89 ((~xuntil6(s151)) | until5(s152)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4782, 4242, 243])).
% 2.36/1.89 tff(4784,plain,
% 2.36/1.89 (~xuntil6(s151)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4783, 4779])).
% 2.36/1.89 tff(4785,plain,
% 2.36/1.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s151) | (~node4(s151)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s151) | (~node4(s151)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4786,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s151) | (~node4(s151)))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4787,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s151) | (~node4(s151))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4786, 4785])).
% 2.36/1.89 tff(4788,plain,
% 2.36/1.89 (~node4(s151)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4787, 113, 4251])).
% 2.36/1.89 tff(4789,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4790,plain,
% 2.36/1.89 ((node4(s151) | (~until5(s151)) | xuntil6(s151)) <=> (xuntil6(s151) | node4(s151) | (~until5(s151)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4791,plain,
% 2.36/1.89 (((~![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))))),
% 2.36/1.89 inference(monotonicity,[status(thm)],[4790])).
% 2.36/1.89 tff(4792,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(transitivity,[status(thm)],[4791, 4789])).
% 2.36/1.89 tff(4793,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s151) | (~until5(s151)) | xuntil6(s151))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4794,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s151) | node4(s151) | (~until5(s151))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4793, 4792])).
% 2.36/1.89 tff(4795,plain,
% 2.36/1.89 (xuntil6(s151) | (~until5(s151))),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4794, 225, 4788])).
% 2.36/1.89 tff(4796,plain,
% 2.36/1.89 (~until5(s151)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4795, 4784])).
% 2.36/1.89 tff(4797,plain,
% 2.36/1.89 (((~![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))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4798,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s150, s151)) | (~xuntil6(s150)) | until5(s151))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4799,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s150, s151)) | (~xuntil6(s150)) | until5(s151)),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4798, 4797])).
% 2.36/1.89 tff(4800,plain,
% 2.36/1.89 ((~xuntil6(s150)) | until5(s151)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4799, 4254, 243])).
% 2.36/1.89 tff(4801,plain,
% 2.36/1.89 (~xuntil6(s150)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4800, 4796])).
% 2.36/1.89 tff(4802,assumption,(~always3(s150)), introduced(assumption)).
% 2.36/1.89 tff(4803,plain,
% 2.36/1.89 (~always3(s149)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4274, 4802])).
% 2.36/1.89 tff(4804,plain,
% 2.36/1.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s149) | (~node4(s149)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s149) | (~node4(s149)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4805,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s149) | (~node4(s149)))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4806,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s149) | (~node4(s149))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4805, 4804])).
% 2.36/1.89 tff(4807,plain,
% 2.36/1.89 (~node4(s149)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4806, 113, 4803])).
% 2.36/1.89 tff(4808,plain,
% 2.36/1.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s150) | (~node4(s150)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s150) | (~node4(s150)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4809,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s150) | (~node4(s150)))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4810,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s150) | (~node4(s150))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4809, 4808])).
% 2.36/1.89 tff(4811,plain,
% 2.36/1.89 (~node4(s150)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4810, 113, 4802])).
% 2.36/1.89 tff(4812,assumption,(~xuntil6(s150)), introduced(assumption)).
% 2.36/1.89 tff(4813,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4814,plain,
% 2.36/1.89 ((node4(s150) | (~until5(s150)) | xuntil6(s150)) <=> (xuntil6(s150) | node4(s150) | (~until5(s150)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4815,plain,
% 2.36/1.89 (((~![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))))),
% 2.36/1.89 inference(monotonicity,[status(thm)],[4814])).
% 2.36/1.89 tff(4816,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(transitivity,[status(thm)],[4815, 4813])).
% 2.36/1.89 tff(4817,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s150) | (~until5(s150)) | xuntil6(s150))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4818,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s150) | node4(s150) | (~until5(s150))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4817, 4816])).
% 2.36/1.89 tff(4819,plain,
% 2.36/1.89 (node4(s150) | (~until5(s150))),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4818, 225, 4812])).
% 2.36/1.89 tff(4820,plain,
% 2.36/1.89 (~until5(s150)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4819, 4811])).
% 2.36/1.89 tff(4821,plain,
% 2.36/1.89 (((~![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))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4822,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s149, s150)) | (~xuntil6(s149)) | until5(s150))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4823,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s149, s150)) | (~xuntil6(s149)) | until5(s150)),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4822, 4821])).
% 2.36/1.89 tff(4824,plain,
% 2.36/1.89 ((~xuntil6(s149)) | until5(s150)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4823, 4266, 243])).
% 2.36/1.89 tff(4825,plain,
% 2.36/1.89 (~xuntil6(s149)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4824, 4820])).
% 2.36/1.89 tff(4826,plain,
% 2.36/1.89 (~always3(s148)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4286, 4803])).
% 2.36/1.89 tff(4827,plain,
% 2.36/1.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s148) | (~node4(s148)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s148) | (~node4(s148)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4828,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s148) | (~node4(s148)))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4829,plain,
% 2.36/1.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s148) | (~node4(s148))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4828, 4827])).
% 2.36/1.89 tff(4830,plain,
% 2.36/1.89 (~node4(s148)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4829, 113, 4826])).
% 2.36/1.89 tff(4831,assumption,(until5(s148)), introduced(assumption)).
% 2.36/1.89 tff(4832,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4833,plain,
% 2.36/1.89 ((node4(s148) | (~until5(s148)) | xuntil6(s148)) <=> (xuntil6(s148) | node4(s148) | (~until5(s148)))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4834,plain,
% 2.36/1.89 (((~![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))))),
% 2.36/1.89 inference(monotonicity,[status(thm)],[4833])).
% 2.36/1.89 tff(4835,plain,
% 2.36/1.89 (((~![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)))),
% 2.36/1.89 inference(transitivity,[status(thm)],[4834, 4832])).
% 2.36/1.89 tff(4836,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s148) | (~until5(s148)) | xuntil6(s148))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4837,plain,
% 2.36/1.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s148) | node4(s148) | (~until5(s148))),
% 2.36/1.89 inference(modus_ponens,[status(thm)],[4836, 4835])).
% 2.36/1.89 tff(4838,plain,
% 2.36/1.89 (xuntil6(s148) | node4(s148)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4837, 225, 4831])).
% 2.36/1.89 tff(4839,plain,
% 2.36/1.89 (xuntil6(s148)),
% 2.36/1.89 inference(unit_resolution,[status(thm)],[4838, 4830])).
% 2.36/1.89 tff(4840,plain,
% 2.36/1.89 (((~![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))),
% 2.36/1.89 inference(rewrite,[status(thm)],[])).
% 2.36/1.89 tff(4841,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s148, s149)) | (~xuntil6(s148)) | until5(s149))),
% 2.36/1.89 inference(quant_inst,[status(thm)],[])).
% 2.36/1.89 tff(4842,plain,
% 2.36/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s148, s149)) | (~xuntil6(s148)) | until5(s149)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4841, 4840])).
% 2.36/1.90 tff(4843,plain,
% 2.36/1.90 ((~xuntil6(s148)) | until5(s149)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4842, 4278, 243])).
% 2.36/1.90 tff(4844,plain,
% 2.36/1.90 (until5(s149)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4843, 4839])).
% 2.36/1.90 tff(4845,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4846,plain,
% 2.36/1.90 ((node4(s149) | (~until5(s149)) | xuntil6(s149)) <=> (xuntil6(s149) | node4(s149) | (~until5(s149)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4847,plain,
% 2.36/1.90 (((~![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))))),
% 2.36/1.90 inference(monotonicity,[status(thm)],[4846])).
% 2.36/1.90 tff(4848,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(transitivity,[status(thm)],[4847, 4845])).
% 2.36/1.90 tff(4849,plain,
% 2.36/1.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s149) | (~until5(s149)) | xuntil6(s149))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4850,plain,
% 2.36/1.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s149) | node4(s149) | (~until5(s149))),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4849, 4848])).
% 2.36/1.90 tff(4851,plain,
% 2.36/1.90 ($false),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4850, 225, 4844, 4825, 4807])).
% 2.36/1.90 tff(4852,plain,(always3(s150) | (~until5(s148)) | xuntil6(s150)), inference(lemma,lemma(discharge,[]))).
% 2.36/1.90 tff(4853,plain,
% 2.36/1.90 (~until5(s148)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4852, 4801, 4263])).
% 2.36/1.90 tff(4854,plain,
% 2.36/1.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s147, s148)) | (~xuntil6(s147)) | until5(s148))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s147, s148)) | (~xuntil6(s147)) | until5(s148))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4855,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s147, s148)) | (~xuntil6(s147)) | until5(s148))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4856,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s147, s148)) | (~xuntil6(s147)) | until5(s148)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4855, 4854])).
% 2.36/1.90 tff(4857,plain,
% 2.36/1.90 ((~xuntil6(s147)) | until5(s148)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4856, 4290, 243])).
% 2.36/1.90 tff(4858,plain,
% 2.36/1.90 (~xuntil6(s147)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4857, 4853])).
% 2.36/1.90 tff(4859,plain,
% 2.36/1.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s147) | (~node4(s147)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s147) | (~node4(s147)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4860,plain,
% 2.36/1.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s147) | (~node4(s147)))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4861,plain,
% 2.36/1.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s147) | (~node4(s147))),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4860, 4859])).
% 2.36/1.90 tff(4862,plain,
% 2.36/1.90 (~node4(s147)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4861, 113, 4299])).
% 2.36/1.90 tff(4863,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4864,plain,
% 2.36/1.90 ((node4(s147) | (~until5(s147)) | xuntil6(s147)) <=> (xuntil6(s147) | node4(s147) | (~until5(s147)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4865,plain,
% 2.36/1.90 (((~![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))))),
% 2.36/1.90 inference(monotonicity,[status(thm)],[4864])).
% 2.36/1.90 tff(4866,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(transitivity,[status(thm)],[4865, 4863])).
% 2.36/1.90 tff(4867,plain,
% 2.36/1.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s147) | (~until5(s147)) | xuntil6(s147))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4868,plain,
% 2.36/1.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s147) | node4(s147) | (~until5(s147))),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4867, 4866])).
% 2.36/1.90 tff(4869,plain,
% 2.36/1.90 (xuntil6(s147) | (~until5(s147))),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4868, 225, 4862])).
% 2.36/1.90 tff(4870,plain,
% 2.36/1.90 (~until5(s147)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4869, 4858])).
% 2.36/1.90 tff(4871,plain,
% 2.36/1.90 (((~![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))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4872,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s146, s147)) | (~xuntil6(s146)) | until5(s147))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4873,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s146, s147)) | (~xuntil6(s146)) | until5(s147)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4872, 4871])).
% 2.36/1.90 tff(4874,plain,
% 2.36/1.90 ((~xuntil6(s146)) | until5(s147)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4873, 4302, 243])).
% 2.36/1.90 tff(4875,plain,
% 2.36/1.90 (~xuntil6(s146)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4874, 4870])).
% 2.36/1.90 tff(4876,assumption,(node4(s146)), introduced(assumption)).
% 2.36/1.90 tff(4877,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4878,plain,
% 2.36/1.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s146) | (~node4(s146)))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4879,plain,
% 2.36/1.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s146) | (~node4(s146))),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4878, 4877])).
% 2.36/1.90 tff(4880,plain,
% 2.36/1.90 (m_main_v_request(s146)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4879, 63, 4876])).
% 2.36/1.90 tff(4881,plain,
% 2.36/1.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s146) | (~node4(s146)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s146) | (~node4(s146)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4882,plain,
% 2.36/1.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s146) | (~node4(s146)))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4883,plain,
% 2.36/1.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s146) | (~node4(s146))),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 2.36/1.90 tff(4884,plain,
% 2.36/1.90 (always3(s146)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4883, 113, 4876])).
% 2.36/1.90 tff(4885,plain,
% 2.36/1.90 (always3(s147)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4310, 4884])).
% 2.36/1.90 tff(4886,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4887,plain,
% 2.36/1.90 (((~m_main_v_state(s147, c_busy)) | (~always3(s147))) <=> ((~always3(s147)) | (~m_main_v_state(s147, c_busy)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4888,plain,
% 2.36/1.90 (((~![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))))),
% 2.36/1.90 inference(monotonicity,[status(thm)],[4887])).
% 2.36/1.90 tff(4889,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(transitivity,[status(thm)],[4888, 4886])).
% 2.36/1.90 tff(4890,plain,
% 2.36/1.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s147, c_busy)) | (~always3(s147)))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4891,plain,
% 2.36/1.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s147)) | (~m_main_v_state(s147, c_busy))),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4890, 4889])).
% 2.36/1.90 tff(4892,plain,
% 2.36/1.90 (~m_main_v_state(s147, c_busy)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4891, 145, 4885])).
% 2.36/1.90 tff(4893,plain,
% 2.36/1.90 (((~![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))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4894,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s146, s147)) | node2(s146, s147))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4895,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s146, s147)) | node2(s146, s147)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4894, 4893])).
% 2.36/1.90 tff(4896,plain,
% 2.36/1.90 (node2(s146, s147)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4895, 7, 4306])).
% 2.36/1.90 tff(4897,plain,
% 2.36/1.90 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4898,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s146, c_ready)) | (~node2(s146, s147)) | m_main_v_state(s147, c_busy) | (~m_main_v_request(s146)))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4899,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s146, c_ready)) | (~node2(s146, s147)) | m_main_v_state(s147, c_busy) | (~m_main_v_request(s146))),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4898, 4897])).
% 2.36/1.90 tff(4900,plain,
% 2.36/1.90 ((~m_main_v_state(s146, c_ready)) | m_main_v_state(s147, c_busy) | (~m_main_v_request(s146))),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4899, 166, 4896])).
% 2.36/1.90 tff(4901,plain,
% 2.36/1.90 (~m_main_v_state(s146, c_ready)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4900, 4892, 4880])).
% 2.36/1.90 tff(4902,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4903,plain,
% 2.36/1.90 (((~m_main_v_state(s146, c_busy)) | (~always3(s146))) <=> ((~always3(s146)) | (~m_main_v_state(s146, c_busy)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4904,plain,
% 2.36/1.90 (((~![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))))),
% 2.36/1.90 inference(monotonicity,[status(thm)],[4903])).
% 2.36/1.90 tff(4905,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(transitivity,[status(thm)],[4904, 4902])).
% 2.36/1.90 tff(4906,plain,
% 2.36/1.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s146, c_busy)) | (~always3(s146)))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4907,plain,
% 2.36/1.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s146)) | (~m_main_v_state(s146, c_busy))),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4906, 4905])).
% 2.36/1.90 tff(4908,plain,
% 2.36/1.90 (~m_main_v_state(s146, c_busy)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4907, 145, 4884])).
% 2.36/1.90 tff(4909,plain,
% 2.36/1.90 (((~![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))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4910,plain,
% 2.36/1.90 ((~![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))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4911,plain,
% 2.36/1.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s146, c_busy) | m_main_v_state(s146, c_ready)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4910, 4909])).
% 2.36/1.90 tff(4912,plain,
% 2.36/1.90 ($false),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4911, 188, 4908, 4901])).
% 2.36/1.90 tff(4913,plain,(~node4(s146)), inference(lemma,lemma(discharge,[]))).
% 2.36/1.90 tff(4914,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4915,plain,
% 2.36/1.90 ((node4(s146) | (~until5(s146)) | xuntil6(s146)) <=> (xuntil6(s146) | node4(s146) | (~until5(s146)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4916,plain,
% 2.36/1.90 (((~![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))))),
% 2.36/1.90 inference(monotonicity,[status(thm)],[4915])).
% 2.36/1.90 tff(4917,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(transitivity,[status(thm)],[4916, 4914])).
% 2.36/1.90 tff(4918,plain,
% 2.36/1.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s146) | (~until5(s146)) | xuntil6(s146))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4919,plain,
% 2.36/1.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s146) | node4(s146) | (~until5(s146))),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4918, 4917])).
% 2.36/1.90 tff(4920,plain,
% 2.36/1.90 (xuntil6(s146) | (~until5(s146))),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4919, 225, 4913])).
% 2.36/1.90 tff(4921,plain,
% 2.36/1.90 (~until5(s146)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4920, 4875])).
% 2.36/1.90 tff(4922,plain,
% 2.36/1.90 (((~![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))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4923,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s145, s146)) | (~xuntil6(s145)) | until5(s146))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4924,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s145, s146)) | (~xuntil6(s145)) | until5(s146)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4923, 4922])).
% 2.36/1.90 tff(4925,plain,
% 2.36/1.90 ((~xuntil6(s145)) | until5(s146)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4924, 4314, 243])).
% 2.36/1.90 tff(4926,plain,
% 2.36/1.90 (~xuntil6(s145)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4925, 4921])).
% 2.36/1.90 tff(4927,plain,
% 2.36/1.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s145) | (~node4(s145)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s145) | (~node4(s145)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4928,plain,
% 2.36/1.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s145) | (~node4(s145)))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4929,plain,
% 2.36/1.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s145) | (~node4(s145))),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4928, 4927])).
% 2.36/1.90 tff(4930,plain,
% 2.36/1.90 (~node4(s145)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4929, 113, 4323])).
% 2.36/1.90 tff(4931,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4932,plain,
% 2.36/1.90 ((node4(s145) | (~until5(s145)) | xuntil6(s145)) <=> (xuntil6(s145) | node4(s145) | (~until5(s145)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4933,plain,
% 2.36/1.90 (((~![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))))),
% 2.36/1.90 inference(monotonicity,[status(thm)],[4932])).
% 2.36/1.90 tff(4934,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(transitivity,[status(thm)],[4933, 4931])).
% 2.36/1.90 tff(4935,plain,
% 2.36/1.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s145) | (~until5(s145)) | xuntil6(s145))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4936,plain,
% 2.36/1.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s145) | node4(s145) | (~until5(s145))),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4935, 4934])).
% 2.36/1.90 tff(4937,plain,
% 2.36/1.90 (xuntil6(s145) | (~until5(s145))),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4936, 225, 4930])).
% 2.36/1.90 tff(4938,plain,
% 2.36/1.90 (~until5(s145)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4937, 4926])).
% 2.36/1.90 tff(4939,plain,
% 2.36/1.90 (((~![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))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4940,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s144, s145)) | (~xuntil6(s144)) | until5(s145))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4941,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s144, s145)) | (~xuntil6(s144)) | until5(s145)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4940, 4939])).
% 2.36/1.90 tff(4942,plain,
% 2.36/1.90 ((~xuntil6(s144)) | until5(s145)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4941, 4326, 243])).
% 2.36/1.90 tff(4943,plain,
% 2.36/1.90 (~xuntil6(s144)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4942, 4938])).
% 2.36/1.90 tff(4944,assumption,(~always3(s144)), introduced(assumption)).
% 2.36/1.90 tff(4945,plain,
% 2.36/1.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s144) | (~node4(s144)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s144) | (~node4(s144)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4946,plain,
% 2.36/1.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s144) | (~node4(s144)))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4947,plain,
% 2.36/1.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s144) | (~node4(s144))),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4946, 4945])).
% 2.36/1.90 tff(4948,plain,
% 2.36/1.90 (~node4(s144)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4947, 113, 4944])).
% 2.36/1.90 tff(4949,assumption,(~xuntil6(s144)), introduced(assumption)).
% 2.36/1.90 tff(4950,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4951,plain,
% 2.36/1.90 ((node4(s144) | (~until5(s144)) | xuntil6(s144)) <=> (xuntil6(s144) | node4(s144) | (~until5(s144)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4952,plain,
% 2.36/1.90 (((~![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))))),
% 2.36/1.90 inference(monotonicity,[status(thm)],[4951])).
% 2.36/1.90 tff(4953,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(transitivity,[status(thm)],[4952, 4950])).
% 2.36/1.90 tff(4954,plain,
% 2.36/1.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s144) | (~until5(s144)) | xuntil6(s144))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4955,plain,
% 2.36/1.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s144) | node4(s144) | (~until5(s144))),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4954, 4953])).
% 2.36/1.90 tff(4956,plain,
% 2.36/1.90 (node4(s144) | (~until5(s144))),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4955, 225, 4949])).
% 2.36/1.90 tff(4957,plain,
% 2.36/1.90 (~until5(s144)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4956, 4948])).
% 2.36/1.90 tff(4958,plain,
% 2.36/1.90 (succ(s143, s144) <=> succ(s143, s144)),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4959,axiom,(succ(s143, s144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound144')).
% 2.36/1.90 tff(4960,plain,
% 2.36/1.90 (succ(s143, s144)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4959, 4958])).
% 2.36/1.90 tff(4961,plain,
% 2.36/1.90 (((~![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))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4962,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s143, s144)) | trans(s143, s144))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4963,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s143, s144)) | trans(s143, s144)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4962, 4961])).
% 2.36/1.90 tff(4964,plain,
% 2.36/1.90 (trans(s143, s144)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4963, 4960, 21])).
% 2.36/1.90 tff(4965,plain,
% 2.36/1.90 (((~![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))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4966,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s143, s144)) | (~always3(s143)) | always3(s144))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4967,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s143, s144)) | (~always3(s143)) | always3(s144)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4966, 4965])).
% 2.36/1.90 tff(4968,plain,
% 2.36/1.90 ((~always3(s143)) | always3(s144)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4967, 38, 4964])).
% 2.36/1.90 tff(4969,plain,
% 2.36/1.90 (~always3(s143)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4968, 4944])).
% 2.36/1.90 tff(4970,plain,
% 2.36/1.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s143) | (~node4(s143)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s143) | (~node4(s143)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4971,plain,
% 2.36/1.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s143) | (~node4(s143)))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4972,plain,
% 2.36/1.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s143) | (~node4(s143))),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4971, 4970])).
% 2.36/1.90 tff(4973,plain,
% 2.36/1.90 (~node4(s143)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4972, 113, 4969])).
% 2.36/1.90 tff(4974,assumption,(until5(s143)), introduced(assumption)).
% 2.36/1.90 tff(4975,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4976,plain,
% 2.36/1.90 ((node4(s143) | (~until5(s143)) | xuntil6(s143)) <=> (xuntil6(s143) | node4(s143) | (~until5(s143)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4977,plain,
% 2.36/1.90 (((~![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))))),
% 2.36/1.90 inference(monotonicity,[status(thm)],[4976])).
% 2.36/1.90 tff(4978,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(transitivity,[status(thm)],[4977, 4975])).
% 2.36/1.90 tff(4979,plain,
% 2.36/1.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s143) | (~until5(s143)) | xuntil6(s143))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4980,plain,
% 2.36/1.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s143) | node4(s143) | (~until5(s143))),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4979, 4978])).
% 2.36/1.90 tff(4981,plain,
% 2.36/1.90 (xuntil6(s143) | node4(s143)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4980, 225, 4974])).
% 2.36/1.90 tff(4982,plain,
% 2.36/1.90 (xuntil6(s143)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4981, 4973])).
% 2.36/1.90 tff(4983,plain,
% 2.36/1.90 (((~![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))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4984,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s143, s144)) | (~xuntil6(s143)) | until5(s144))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4985,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s143, s144)) | (~xuntil6(s143)) | until5(s144)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4984, 4983])).
% 2.36/1.90 tff(4986,plain,
% 2.36/1.90 ((~xuntil6(s143)) | until5(s144)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4985, 4960, 243])).
% 2.36/1.90 tff(4987,plain,
% 2.36/1.90 ($false),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4986, 4982, 4957])).
% 2.36/1.90 tff(4988,plain,(always3(s144) | (~until5(s143)) | xuntil6(s144)), inference(lemma,lemma(discharge,[]))).
% 2.36/1.90 tff(4989,plain,
% 2.36/1.90 (~until5(s143)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4988, 4943, 4335])).
% 2.36/1.90 tff(4990,plain,
% 2.36/1.90 (succ(s142, s143) <=> succ(s142, s143)),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4991,axiom,(succ(s142, s143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound143')).
% 2.36/1.90 tff(4992,plain,
% 2.36/1.90 (succ(s142, s143)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4991, 4990])).
% 2.36/1.90 tff(4993,plain,
% 2.36/1.90 (((~![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))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(4994,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s142, s143)) | (~xuntil6(s142)) | until5(s143))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(4995,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s142, s143)) | (~xuntil6(s142)) | until5(s143)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[4994, 4993])).
% 2.36/1.90 tff(4996,plain,
% 2.36/1.90 ((~xuntil6(s142)) | until5(s143)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4995, 4992, 243])).
% 2.36/1.90 tff(4997,plain,
% 2.36/1.90 (~xuntil6(s142)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4996, 4989])).
% 2.36/1.90 tff(4998,plain,
% 2.36/1.90 (~always3(s143)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[4968, 4335])).
% 2.36/1.90 tff(4999,plain,
% 2.36/1.90 (((~![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))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(5000,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s142, s143)) | trans(s142, s143))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(5001,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s142, s143)) | trans(s142, s143)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[5000, 4999])).
% 2.36/1.90 tff(5002,plain,
% 2.36/1.90 (trans(s142, s143)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[5001, 4992, 21])).
% 2.36/1.90 tff(5003,plain,
% 2.36/1.90 (((~![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))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(5004,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s142, s143)) | (~always3(s142)) | always3(s143))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(5005,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s142, s143)) | (~always3(s142)) | always3(s143)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[5004, 5003])).
% 2.36/1.90 tff(5006,plain,
% 2.36/1.90 ((~always3(s142)) | always3(s143)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[5005, 38, 5002])).
% 2.36/1.90 tff(5007,plain,
% 2.36/1.90 (~always3(s142)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[5006, 4998])).
% 2.36/1.90 tff(5008,plain,
% 2.36/1.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s142) | (~node4(s142)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s142) | (~node4(s142)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(5009,plain,
% 2.36/1.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s142) | (~node4(s142)))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(5010,plain,
% 2.36/1.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s142) | (~node4(s142))),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[5009, 5008])).
% 2.36/1.90 tff(5011,plain,
% 2.36/1.90 (~node4(s142)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[5010, 113, 5007])).
% 2.36/1.90 tff(5012,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(5013,plain,
% 2.36/1.90 ((node4(s142) | (~until5(s142)) | xuntil6(s142)) <=> (xuntil6(s142) | node4(s142) | (~until5(s142)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(5014,plain,
% 2.36/1.90 (((~![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))))),
% 2.36/1.90 inference(monotonicity,[status(thm)],[5013])).
% 2.36/1.90 tff(5015,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(transitivity,[status(thm)],[5014, 5012])).
% 2.36/1.90 tff(5016,plain,
% 2.36/1.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s142) | (~until5(s142)) | xuntil6(s142))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(5017,plain,
% 2.36/1.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s142) | node4(s142) | (~until5(s142))),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[5016, 5015])).
% 2.36/1.90 tff(5018,plain,
% 2.36/1.90 (xuntil6(s142) | (~until5(s142))),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[5017, 225, 5011])).
% 2.36/1.90 tff(5019,plain,
% 2.36/1.90 (~until5(s142)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[5018, 4997])).
% 2.36/1.90 tff(5020,plain,
% 2.36/1.90 (succ(s141, s142) <=> succ(s141, s142)),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(5021,axiom,(succ(s141, s142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound142')).
% 2.36/1.90 tff(5022,plain,
% 2.36/1.90 (succ(s141, s142)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[5021, 5020])).
% 2.36/1.90 tff(5023,plain,
% 2.36/1.90 (((~![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))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(5024,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s141, s142)) | (~xuntil6(s141)) | until5(s142))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(5025,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s141, s142)) | (~xuntil6(s141)) | until5(s142)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[5024, 5023])).
% 2.36/1.90 tff(5026,plain,
% 2.36/1.90 ((~xuntil6(s141)) | until5(s142)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[5025, 5022, 243])).
% 2.36/1.90 tff(5027,plain,
% 2.36/1.90 (~xuntil6(s141)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[5026, 5019])).
% 2.36/1.90 tff(5028,plain,
% 2.36/1.90 (((~![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))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(5029,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s141, s142)) | trans(s141, s142))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(5030,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s141, s142)) | trans(s141, s142)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[5029, 5028])).
% 2.36/1.90 tff(5031,plain,
% 2.36/1.90 (trans(s141, s142)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[5030, 5022, 21])).
% 2.36/1.90 tff(5032,plain,
% 2.36/1.90 (((~![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))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(5033,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s141, s142)) | (~always3(s141)) | always3(s142))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(5034,plain,
% 2.36/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s141, s142)) | (~always3(s141)) | always3(s142)),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[5033, 5032])).
% 2.36/1.90 tff(5035,plain,
% 2.36/1.90 ((~always3(s141)) | always3(s142)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[5034, 38, 5031])).
% 2.36/1.90 tff(5036,plain,
% 2.36/1.90 (~always3(s141)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[5035, 5007])).
% 2.36/1.90 tff(5037,plain,
% 2.36/1.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s141) | (~node4(s141)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s141) | (~node4(s141)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(5038,plain,
% 2.36/1.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s141) | (~node4(s141)))),
% 2.36/1.90 inference(quant_inst,[status(thm)],[])).
% 2.36/1.90 tff(5039,plain,
% 2.36/1.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s141) | (~node4(s141))),
% 2.36/1.90 inference(modus_ponens,[status(thm)],[5038, 5037])).
% 2.36/1.90 tff(5040,plain,
% 2.36/1.90 (~node4(s141)),
% 2.36/1.90 inference(unit_resolution,[status(thm)],[5039, 113, 5036])).
% 2.36/1.90 tff(5041,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(5042,plain,
% 2.36/1.90 ((node4(s141) | (~until5(s141)) | xuntil6(s141)) <=> (xuntil6(s141) | node4(s141) | (~until5(s141)))),
% 2.36/1.90 inference(rewrite,[status(thm)],[])).
% 2.36/1.90 tff(5043,plain,
% 2.36/1.90 (((~![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))))),
% 2.36/1.90 inference(monotonicity,[status(thm)],[5042])).
% 2.36/1.90 tff(5044,plain,
% 2.36/1.90 (((~![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)))),
% 2.36/1.91 inference(transitivity,[status(thm)],[5043, 5041])).
% 2.36/1.91 tff(5045,plain,
% 2.36/1.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s141) | (~until5(s141)) | xuntil6(s141))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5046,plain,
% 2.36/1.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s141) | node4(s141) | (~until5(s141))),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5045, 5044])).
% 2.36/1.91 tff(5047,plain,
% 2.36/1.91 (xuntil6(s141) | (~until5(s141))),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5046, 225, 5040])).
% 2.36/1.91 tff(5048,plain,
% 2.36/1.91 (~until5(s141)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5047, 5027])).
% 2.36/1.91 tff(5049,plain,
% 2.36/1.91 (succ(s140, s141) <=> succ(s140, s141)),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5050,axiom,(succ(s140, s141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound141')).
% 2.36/1.91 tff(5051,plain,
% 2.36/1.91 (succ(s140, s141)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5050, 5049])).
% 2.36/1.91 tff(5052,plain,
% 2.36/1.91 (((~![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))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5053,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s140, s141)) | (~xuntil6(s140)) | until5(s141))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5054,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s140, s141)) | (~xuntil6(s140)) | until5(s141)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5053, 5052])).
% 2.36/1.91 tff(5055,plain,
% 2.36/1.91 ((~xuntil6(s140)) | until5(s141)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5054, 5051, 243])).
% 2.36/1.91 tff(5056,plain,
% 2.36/1.91 (~xuntil6(s140)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5055, 5048])).
% 2.36/1.91 tff(5057,plain,
% 2.36/1.91 (((~![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))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5058,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s140, s141)) | trans(s140, s141))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5059,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s140, s141)) | trans(s140, s141)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5058, 5057])).
% 2.36/1.91 tff(5060,plain,
% 2.36/1.91 (trans(s140, s141)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5059, 5051, 21])).
% 2.36/1.91 tff(5061,plain,
% 2.36/1.91 (((~![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))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5062,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s140, s141)) | (~always3(s140)) | always3(s141))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5063,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s140, s141)) | (~always3(s140)) | always3(s141)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5062, 5061])).
% 2.36/1.91 tff(5064,plain,
% 2.36/1.91 ((~always3(s140)) | always3(s141)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5063, 38, 5060])).
% 2.36/1.91 tff(5065,plain,
% 2.36/1.91 (~always3(s140)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5064, 5036])).
% 2.36/1.91 tff(5066,plain,
% 2.36/1.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s140) | (~node4(s140)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s140) | (~node4(s140)))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5067,plain,
% 2.36/1.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s140) | (~node4(s140)))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5068,plain,
% 2.36/1.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s140) | (~node4(s140))),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5067, 5066])).
% 2.36/1.91 tff(5069,plain,
% 2.36/1.91 (~node4(s140)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5068, 113, 5065])).
% 2.36/1.91 tff(5070,plain,
% 2.36/1.91 (((~![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)))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5071,plain,
% 2.36/1.91 ((node4(s140) | (~until5(s140)) | xuntil6(s140)) <=> (xuntil6(s140) | node4(s140) | (~until5(s140)))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5072,plain,
% 2.36/1.91 (((~![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))))),
% 2.36/1.91 inference(monotonicity,[status(thm)],[5071])).
% 2.36/1.91 tff(5073,plain,
% 2.36/1.91 (((~![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)))),
% 2.36/1.91 inference(transitivity,[status(thm)],[5072, 5070])).
% 2.36/1.91 tff(5074,plain,
% 2.36/1.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s140) | (~until5(s140)) | xuntil6(s140))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5075,plain,
% 2.36/1.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s140) | node4(s140) | (~until5(s140))),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5074, 5073])).
% 2.36/1.91 tff(5076,plain,
% 2.36/1.91 (xuntil6(s140) | (~until5(s140))),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5075, 225, 5069])).
% 2.36/1.91 tff(5077,plain,
% 2.36/1.91 (~until5(s140)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5076, 5056])).
% 2.36/1.91 tff(5078,plain,
% 2.36/1.91 (succ(s139, s140) <=> succ(s139, s140)),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5079,axiom,(succ(s139, s140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound140')).
% 2.36/1.91 tff(5080,plain,
% 2.36/1.91 (succ(s139, s140)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5079, 5078])).
% 2.36/1.91 tff(5081,plain,
% 2.36/1.91 (((~![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))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5082,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s139, s140)) | (~xuntil6(s139)) | until5(s140))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5083,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s139, s140)) | (~xuntil6(s139)) | until5(s140)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5082, 5081])).
% 2.36/1.91 tff(5084,plain,
% 2.36/1.91 ((~xuntil6(s139)) | until5(s140)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5083, 5080, 243])).
% 2.36/1.91 tff(5085,plain,
% 2.36/1.91 (~xuntil6(s139)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5084, 5077])).
% 2.36/1.91 tff(5086,plain,
% 2.36/1.91 (((~![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))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5087,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s139, s140)) | trans(s139, s140))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5088,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s139, s140)) | trans(s139, s140)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5087, 5086])).
% 2.36/1.91 tff(5089,plain,
% 2.36/1.91 (trans(s139, s140)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5088, 5080, 21])).
% 2.36/1.91 tff(5090,plain,
% 2.36/1.91 (((~![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))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5091,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s139, s140)) | (~always3(s139)) | always3(s140))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5092,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s139, s140)) | (~always3(s139)) | always3(s140)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5091, 5090])).
% 2.36/1.91 tff(5093,plain,
% 2.36/1.91 ((~always3(s139)) | always3(s140)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5092, 38, 5089])).
% 2.36/1.91 tff(5094,plain,
% 2.36/1.91 (~always3(s139)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5093, 5065])).
% 2.36/1.91 tff(5095,plain,
% 2.36/1.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s139) | (~node4(s139)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s139) | (~node4(s139)))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5096,plain,
% 2.36/1.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s139) | (~node4(s139)))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5097,plain,
% 2.36/1.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s139) | (~node4(s139))),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5096, 5095])).
% 2.36/1.91 tff(5098,plain,
% 2.36/1.91 (~node4(s139)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5097, 113, 5094])).
% 2.36/1.91 tff(5099,plain,
% 2.36/1.91 (((~![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)))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5100,plain,
% 2.36/1.91 ((node4(s139) | (~until5(s139)) | xuntil6(s139)) <=> (xuntil6(s139) | node4(s139) | (~until5(s139)))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5101,plain,
% 2.36/1.91 (((~![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))))),
% 2.36/1.91 inference(monotonicity,[status(thm)],[5100])).
% 2.36/1.91 tff(5102,plain,
% 2.36/1.91 (((~![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)))),
% 2.36/1.91 inference(transitivity,[status(thm)],[5101, 5099])).
% 2.36/1.91 tff(5103,plain,
% 2.36/1.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s139) | (~until5(s139)) | xuntil6(s139))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5104,plain,
% 2.36/1.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s139) | node4(s139) | (~until5(s139))),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5103, 5102])).
% 2.36/1.91 tff(5105,plain,
% 2.36/1.91 (xuntil6(s139) | (~until5(s139))),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5104, 225, 5098])).
% 2.36/1.91 tff(5106,plain,
% 2.36/1.91 (~until5(s139)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5105, 5085])).
% 2.36/1.91 tff(5107,plain,
% 2.36/1.91 (succ(s138, s139) <=> succ(s138, s139)),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5108,axiom,(succ(s138, s139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound139')).
% 2.36/1.91 tff(5109,plain,
% 2.36/1.91 (succ(s138, s139)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5108, 5107])).
% 2.36/1.91 tff(5110,plain,
% 2.36/1.91 (((~![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))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5111,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s138, s139)) | (~xuntil6(s138)) | until5(s139))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5112,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s138, s139)) | (~xuntil6(s138)) | until5(s139)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5111, 5110])).
% 2.36/1.91 tff(5113,plain,
% 2.36/1.91 ((~xuntil6(s138)) | until5(s139)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5112, 5109, 243])).
% 2.36/1.91 tff(5114,plain,
% 2.36/1.91 (~xuntil6(s138)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5113, 5106])).
% 2.36/1.91 tff(5115,plain,
% 2.36/1.91 (((~![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))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5116,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s138, s139)) | trans(s138, s139))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5117,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s138, s139)) | trans(s138, s139)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5116, 5115])).
% 2.36/1.91 tff(5118,plain,
% 2.36/1.91 (trans(s138, s139)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5117, 5109, 21])).
% 2.36/1.91 tff(5119,plain,
% 2.36/1.91 (((~![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))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5120,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s138, s139)) | (~always3(s138)) | always3(s139))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5121,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s138, s139)) | (~always3(s138)) | always3(s139)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5120, 5119])).
% 2.36/1.91 tff(5122,plain,
% 2.36/1.91 ((~always3(s138)) | always3(s139)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5121, 38, 5118])).
% 2.36/1.91 tff(5123,plain,
% 2.36/1.91 (~always3(s138)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5122, 5094])).
% 2.36/1.91 tff(5124,plain,
% 2.36/1.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s138) | (~node4(s138)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s138) | (~node4(s138)))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5125,plain,
% 2.36/1.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s138) | (~node4(s138)))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5126,plain,
% 2.36/1.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s138) | (~node4(s138))),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5125, 5124])).
% 2.36/1.91 tff(5127,plain,
% 2.36/1.91 (~node4(s138)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5126, 113, 5123])).
% 2.36/1.91 tff(5128,plain,
% 2.36/1.91 (((~![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)))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5129,plain,
% 2.36/1.91 ((node4(s138) | (~until5(s138)) | xuntil6(s138)) <=> (xuntil6(s138) | node4(s138) | (~until5(s138)))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5130,plain,
% 2.36/1.91 (((~![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))))),
% 2.36/1.91 inference(monotonicity,[status(thm)],[5129])).
% 2.36/1.91 tff(5131,plain,
% 2.36/1.91 (((~![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)))),
% 2.36/1.91 inference(transitivity,[status(thm)],[5130, 5128])).
% 2.36/1.91 tff(5132,plain,
% 2.36/1.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s138) | (~until5(s138)) | xuntil6(s138))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5133,plain,
% 2.36/1.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s138) | node4(s138) | (~until5(s138))),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5132, 5131])).
% 2.36/1.91 tff(5134,plain,
% 2.36/1.91 (xuntil6(s138) | (~until5(s138))),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5133, 225, 5127])).
% 2.36/1.91 tff(5135,plain,
% 2.36/1.91 (~until5(s138)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5134, 5114])).
% 2.36/1.91 tff(5136,plain,
% 2.36/1.91 (succ(s137, s138) <=> succ(s137, s138)),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5137,axiom,(succ(s137, s138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound138')).
% 2.36/1.91 tff(5138,plain,
% 2.36/1.91 (succ(s137, s138)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5137, 5136])).
% 2.36/1.91 tff(5139,plain,
% 2.36/1.91 (((~![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))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5140,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s137, s138)) | (~xuntil6(s137)) | until5(s138))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5141,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s137, s138)) | (~xuntil6(s137)) | until5(s138)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5140, 5139])).
% 2.36/1.91 tff(5142,plain,
% 2.36/1.91 ((~xuntil6(s137)) | until5(s138)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5141, 5138, 243])).
% 2.36/1.91 tff(5143,plain,
% 2.36/1.91 (~xuntil6(s137)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5142, 5135])).
% 2.36/1.91 tff(5144,plain,
% 2.36/1.91 (((~![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))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5145,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s137, s138)) | trans(s137, s138))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5146,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s137, s138)) | trans(s137, s138)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5145, 5144])).
% 2.36/1.91 tff(5147,plain,
% 2.36/1.91 (trans(s137, s138)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5146, 5138, 21])).
% 2.36/1.91 tff(5148,plain,
% 2.36/1.91 (((~![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))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5149,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s137, s138)) | (~always3(s137)) | always3(s138))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5150,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s137, s138)) | (~always3(s137)) | always3(s138)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5149, 5148])).
% 2.36/1.91 tff(5151,plain,
% 2.36/1.91 ((~always3(s137)) | always3(s138)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5150, 38, 5147])).
% 2.36/1.91 tff(5152,plain,
% 2.36/1.91 (~always3(s137)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5151, 5123])).
% 2.36/1.91 tff(5153,plain,
% 2.36/1.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s137) | (~node4(s137)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s137) | (~node4(s137)))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5154,plain,
% 2.36/1.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s137) | (~node4(s137)))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5155,plain,
% 2.36/1.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s137) | (~node4(s137))),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5154, 5153])).
% 2.36/1.91 tff(5156,plain,
% 2.36/1.91 (~node4(s137)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5155, 113, 5152])).
% 2.36/1.91 tff(5157,plain,
% 2.36/1.91 (((~![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)))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5158,plain,
% 2.36/1.91 ((node4(s137) | (~until5(s137)) | xuntil6(s137)) <=> (xuntil6(s137) | node4(s137) | (~until5(s137)))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5159,plain,
% 2.36/1.91 (((~![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))))),
% 2.36/1.91 inference(monotonicity,[status(thm)],[5158])).
% 2.36/1.91 tff(5160,plain,
% 2.36/1.91 (((~![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)))),
% 2.36/1.91 inference(transitivity,[status(thm)],[5159, 5157])).
% 2.36/1.91 tff(5161,plain,
% 2.36/1.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s137) | (~until5(s137)) | xuntil6(s137))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5162,plain,
% 2.36/1.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s137) | node4(s137) | (~until5(s137))),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5161, 5160])).
% 2.36/1.91 tff(5163,plain,
% 2.36/1.91 (xuntil6(s137) | (~until5(s137))),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5162, 225, 5156])).
% 2.36/1.91 tff(5164,plain,
% 2.36/1.91 (~until5(s137)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5163, 5143])).
% 2.36/1.91 tff(5165,plain,
% 2.36/1.91 (succ(s136, s137) <=> succ(s136, s137)),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5166,axiom,(succ(s136, s137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound137')).
% 2.36/1.91 tff(5167,plain,
% 2.36/1.91 (succ(s136, s137)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5166, 5165])).
% 2.36/1.91 tff(5168,plain,
% 2.36/1.91 (((~![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))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5169,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s136, s137)) | (~xuntil6(s136)) | until5(s137))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5170,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s136, s137)) | (~xuntil6(s136)) | until5(s137)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5169, 5168])).
% 2.36/1.91 tff(5171,plain,
% 2.36/1.91 ((~xuntil6(s136)) | until5(s137)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5170, 5167, 243])).
% 2.36/1.91 tff(5172,plain,
% 2.36/1.91 (~xuntil6(s136)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5171, 5164])).
% 2.36/1.91 tff(5173,plain,
% 2.36/1.91 (((~![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))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5174,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s136, s137)) | trans(s136, s137))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5175,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s136, s137)) | trans(s136, s137)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5174, 5173])).
% 2.36/1.91 tff(5176,plain,
% 2.36/1.91 (trans(s136, s137)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5175, 5167, 21])).
% 2.36/1.91 tff(5177,plain,
% 2.36/1.91 (((~![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))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5178,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s136, s137)) | (~always3(s136)) | always3(s137))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5179,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s136, s137)) | (~always3(s136)) | always3(s137)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5178, 5177])).
% 2.36/1.91 tff(5180,plain,
% 2.36/1.91 ((~always3(s136)) | always3(s137)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5179, 38, 5176])).
% 2.36/1.91 tff(5181,plain,
% 2.36/1.91 (~always3(s136)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5180, 5152])).
% 2.36/1.91 tff(5182,plain,
% 2.36/1.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s136) | (~node4(s136)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s136) | (~node4(s136)))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5183,plain,
% 2.36/1.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s136) | (~node4(s136)))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5184,plain,
% 2.36/1.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s136) | (~node4(s136))),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5183, 5182])).
% 2.36/1.91 tff(5185,plain,
% 2.36/1.91 (~node4(s136)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5184, 113, 5181])).
% 2.36/1.91 tff(5186,plain,
% 2.36/1.91 (((~![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)))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5187,plain,
% 2.36/1.91 ((node4(s136) | (~until5(s136)) | xuntil6(s136)) <=> (xuntil6(s136) | node4(s136) | (~until5(s136)))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5188,plain,
% 2.36/1.91 (((~![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))))),
% 2.36/1.91 inference(monotonicity,[status(thm)],[5187])).
% 2.36/1.91 tff(5189,plain,
% 2.36/1.91 (((~![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)))),
% 2.36/1.91 inference(transitivity,[status(thm)],[5188, 5186])).
% 2.36/1.91 tff(5190,plain,
% 2.36/1.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s136) | (~until5(s136)) | xuntil6(s136))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5191,plain,
% 2.36/1.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s136) | node4(s136) | (~until5(s136))),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5190, 5189])).
% 2.36/1.91 tff(5192,plain,
% 2.36/1.91 (xuntil6(s136) | (~until5(s136))),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5191, 225, 5185])).
% 2.36/1.91 tff(5193,plain,
% 2.36/1.91 (~until5(s136)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5192, 5172])).
% 2.36/1.91 tff(5194,plain,
% 2.36/1.91 (succ(s135, s136) <=> succ(s135, s136)),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5195,axiom,(succ(s135, s136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound136')).
% 2.36/1.91 tff(5196,plain,
% 2.36/1.91 (succ(s135, s136)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5195, 5194])).
% 2.36/1.91 tff(5197,plain,
% 2.36/1.91 (((~![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))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5198,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s135, s136)) | (~xuntil6(s135)) | until5(s136))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5199,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s135, s136)) | (~xuntil6(s135)) | until5(s136)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5198, 5197])).
% 2.36/1.91 tff(5200,plain,
% 2.36/1.91 ((~xuntil6(s135)) | until5(s136)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5199, 5196, 243])).
% 2.36/1.91 tff(5201,plain,
% 2.36/1.91 (~xuntil6(s135)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5200, 5193])).
% 2.36/1.91 tff(5202,plain,
% 2.36/1.91 (((~![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))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5203,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s135, s136)) | trans(s135, s136))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5204,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s135, s136)) | trans(s135, s136)),
% 2.36/1.91 inference(modus_ponens,[status(thm)],[5203, 5202])).
% 2.36/1.91 tff(5205,plain,
% 2.36/1.91 (trans(s135, s136)),
% 2.36/1.91 inference(unit_resolution,[status(thm)],[5204, 5196, 21])).
% 2.36/1.91 tff(5206,plain,
% 2.36/1.91 (((~![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))),
% 2.36/1.91 inference(rewrite,[status(thm)],[])).
% 2.36/1.91 tff(5207,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s135, s136)) | (~always3(s135)) | always3(s136))),
% 2.36/1.91 inference(quant_inst,[status(thm)],[])).
% 2.36/1.91 tff(5208,plain,
% 2.36/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s135, s136)) | (~always3(s135)) | always3(s136)),
% 2.44/1.91 inference(modus_ponens,[status(thm)],[5207, 5206])).
% 2.44/1.91 tff(5209,plain,
% 2.44/1.91 ((~always3(s135)) | always3(s136)),
% 2.44/1.91 inference(unit_resolution,[status(thm)],[5208, 38, 5205])).
% 2.44/1.91 tff(5210,plain,
% 2.44/1.91 (~always3(s135)),
% 2.44/1.91 inference(unit_resolution,[status(thm)],[5209, 5181])).
% 2.44/1.91 tff(5211,plain,
% 2.44/1.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s135) | (~node4(s135)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s135) | (~node4(s135)))),
% 2.44/1.91 inference(rewrite,[status(thm)],[])).
% 2.44/1.91 tff(5212,plain,
% 2.44/1.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s135) | (~node4(s135)))),
% 2.44/1.91 inference(quant_inst,[status(thm)],[])).
% 2.44/1.91 tff(5213,plain,
% 2.44/1.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s135) | (~node4(s135))),
% 2.44/1.91 inference(modus_ponens,[status(thm)],[5212, 5211])).
% 2.44/1.91 tff(5214,plain,
% 2.44/1.91 (~node4(s135)),
% 2.44/1.91 inference(unit_resolution,[status(thm)],[5213, 113, 5210])).
% 2.44/1.91 tff(5215,plain,
% 2.44/1.91 (((~![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)))),
% 2.44/1.91 inference(rewrite,[status(thm)],[])).
% 2.44/1.91 tff(5216,plain,
% 2.44/1.91 ((node4(s135) | (~until5(s135)) | xuntil6(s135)) <=> (xuntil6(s135) | node4(s135) | (~until5(s135)))),
% 2.44/1.91 inference(rewrite,[status(thm)],[])).
% 2.44/1.91 tff(5217,plain,
% 2.44/1.91 (((~![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))))),
% 2.44/1.91 inference(monotonicity,[status(thm)],[5216])).
% 2.44/1.91 tff(5218,plain,
% 2.44/1.91 (((~![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)))),
% 2.44/1.91 inference(transitivity,[status(thm)],[5217, 5215])).
% 2.44/1.91 tff(5219,plain,
% 2.44/1.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s135) | (~until5(s135)) | xuntil6(s135))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5220,plain,
% 2.44/1.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s135) | node4(s135) | (~until5(s135))),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5219, 5218])).
% 2.44/1.92 tff(5221,plain,
% 2.44/1.92 (xuntil6(s135) | (~until5(s135))),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5220, 225, 5214])).
% 2.44/1.92 tff(5222,plain,
% 2.44/1.92 (~until5(s135)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5221, 5201])).
% 2.44/1.92 tff(5223,plain,
% 2.44/1.92 (succ(s134, s135) <=> succ(s134, s135)),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5224,axiom,(succ(s134, s135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound135')).
% 2.44/1.92 tff(5225,plain,
% 2.44/1.92 (succ(s134, s135)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5224, 5223])).
% 2.44/1.92 tff(5226,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5227,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s134, s135)) | (~xuntil6(s134)) | until5(s135))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5228,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s134, s135)) | (~xuntil6(s134)) | until5(s135)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5227, 5226])).
% 2.44/1.92 tff(5229,plain,
% 2.44/1.92 ((~xuntil6(s134)) | until5(s135)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5228, 5225, 243])).
% 2.44/1.92 tff(5230,plain,
% 2.44/1.92 (~xuntil6(s134)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5229, 5222])).
% 2.44/1.92 tff(5231,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5232,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s134, s135)) | trans(s134, s135))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5233,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s134, s135)) | trans(s134, s135)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5232, 5231])).
% 2.44/1.92 tff(5234,plain,
% 2.44/1.92 (trans(s134, s135)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5233, 5225, 21])).
% 2.44/1.92 tff(5235,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5236,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s134, s135)) | (~always3(s134)) | always3(s135))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5237,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s134, s135)) | (~always3(s134)) | always3(s135)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5236, 5235])).
% 2.44/1.92 tff(5238,plain,
% 2.44/1.92 ((~always3(s134)) | always3(s135)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5237, 38, 5234])).
% 2.44/1.92 tff(5239,plain,
% 2.44/1.92 (~always3(s134)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5238, 5210])).
% 2.44/1.92 tff(5240,plain,
% 2.44/1.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s134) | (~node4(s134)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s134) | (~node4(s134)))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5241,plain,
% 2.44/1.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s134) | (~node4(s134)))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5242,plain,
% 2.44/1.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s134) | (~node4(s134))),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5241, 5240])).
% 2.44/1.92 tff(5243,plain,
% 2.44/1.92 (~node4(s134)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5242, 113, 5239])).
% 2.44/1.92 tff(5244,plain,
% 2.44/1.92 (((~![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)))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5245,plain,
% 2.44/1.92 ((node4(s134) | (~until5(s134)) | xuntil6(s134)) <=> (xuntil6(s134) | node4(s134) | (~until5(s134)))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5246,plain,
% 2.44/1.92 (((~![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))))),
% 2.44/1.92 inference(monotonicity,[status(thm)],[5245])).
% 2.44/1.92 tff(5247,plain,
% 2.44/1.92 (((~![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)))),
% 2.44/1.92 inference(transitivity,[status(thm)],[5246, 5244])).
% 2.44/1.92 tff(5248,plain,
% 2.44/1.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s134) | (~until5(s134)) | xuntil6(s134))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5249,plain,
% 2.44/1.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s134) | node4(s134) | (~until5(s134))),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5248, 5247])).
% 2.44/1.92 tff(5250,plain,
% 2.44/1.92 (xuntil6(s134) | (~until5(s134))),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5249, 225, 5243])).
% 2.44/1.92 tff(5251,plain,
% 2.44/1.92 (~until5(s134)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5250, 5230])).
% 2.44/1.92 tff(5252,plain,
% 2.44/1.92 (succ(s133, s134) <=> succ(s133, s134)),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5253,axiom,(succ(s133, s134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound134')).
% 2.44/1.92 tff(5254,plain,
% 2.44/1.92 (succ(s133, s134)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5253, 5252])).
% 2.44/1.92 tff(5255,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5256,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s133, s134)) | (~xuntil6(s133)) | until5(s134))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5257,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s133, s134)) | (~xuntil6(s133)) | until5(s134)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5256, 5255])).
% 2.44/1.92 tff(5258,plain,
% 2.44/1.92 ((~xuntil6(s133)) | until5(s134)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5257, 5254, 243])).
% 2.44/1.92 tff(5259,plain,
% 2.44/1.92 (~xuntil6(s133)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5258, 5251])).
% 2.44/1.92 tff(5260,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5261,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s133, s134)) | trans(s133, s134))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5262,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s133, s134)) | trans(s133, s134)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5261, 5260])).
% 2.44/1.92 tff(5263,plain,
% 2.44/1.92 (trans(s133, s134)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5262, 5254, 21])).
% 2.44/1.92 tff(5264,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5265,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s133, s134)) | (~always3(s133)) | always3(s134))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5266,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s133, s134)) | (~always3(s133)) | always3(s134)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5265, 5264])).
% 2.44/1.92 tff(5267,plain,
% 2.44/1.92 ((~always3(s133)) | always3(s134)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5266, 38, 5263])).
% 2.44/1.92 tff(5268,plain,
% 2.44/1.92 (~always3(s133)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5267, 5239])).
% 2.44/1.92 tff(5269,plain,
% 2.44/1.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s133) | (~node4(s133)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s133) | (~node4(s133)))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5270,plain,
% 2.44/1.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s133) | (~node4(s133)))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5271,plain,
% 2.44/1.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s133) | (~node4(s133))),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5270, 5269])).
% 2.44/1.92 tff(5272,plain,
% 2.44/1.92 (~node4(s133)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5271, 113, 5268])).
% 2.44/1.92 tff(5273,plain,
% 2.44/1.92 (((~![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)))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5274,plain,
% 2.44/1.92 ((node4(s133) | (~until5(s133)) | xuntil6(s133)) <=> (xuntil6(s133) | node4(s133) | (~until5(s133)))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5275,plain,
% 2.44/1.92 (((~![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))))),
% 2.44/1.92 inference(monotonicity,[status(thm)],[5274])).
% 2.44/1.92 tff(5276,plain,
% 2.44/1.92 (((~![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)))),
% 2.44/1.92 inference(transitivity,[status(thm)],[5275, 5273])).
% 2.44/1.92 tff(5277,plain,
% 2.44/1.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s133) | (~until5(s133)) | xuntil6(s133))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5278,plain,
% 2.44/1.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s133) | node4(s133) | (~until5(s133))),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5277, 5276])).
% 2.44/1.92 tff(5279,plain,
% 2.44/1.92 (xuntil6(s133) | (~until5(s133))),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5278, 225, 5272])).
% 2.44/1.92 tff(5280,plain,
% 2.44/1.92 (~until5(s133)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5279, 5259])).
% 2.44/1.92 tff(5281,plain,
% 2.44/1.92 (succ(s132, s133) <=> succ(s132, s133)),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5282,axiom,(succ(s132, s133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound133')).
% 2.44/1.92 tff(5283,plain,
% 2.44/1.92 (succ(s132, s133)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5282, 5281])).
% 2.44/1.92 tff(5284,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5285,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s132, s133)) | (~xuntil6(s132)) | until5(s133))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5286,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s132, s133)) | (~xuntil6(s132)) | until5(s133)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5285, 5284])).
% 2.44/1.92 tff(5287,plain,
% 2.44/1.92 ((~xuntil6(s132)) | until5(s133)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5286, 5283, 243])).
% 2.44/1.92 tff(5288,plain,
% 2.44/1.92 (~xuntil6(s132)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5287, 5280])).
% 2.44/1.92 tff(5289,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5290,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s132, s133)) | trans(s132, s133))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5291,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s132, s133)) | trans(s132, s133)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5290, 5289])).
% 2.44/1.92 tff(5292,plain,
% 2.44/1.92 (trans(s132, s133)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5291, 5283, 21])).
% 2.44/1.92 tff(5293,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5294,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s132, s133)) | (~always3(s132)) | always3(s133))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5295,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s132, s133)) | (~always3(s132)) | always3(s133)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5294, 5293])).
% 2.44/1.92 tff(5296,plain,
% 2.44/1.92 ((~always3(s132)) | always3(s133)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5295, 38, 5292])).
% 2.44/1.92 tff(5297,plain,
% 2.44/1.92 (~always3(s132)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5296, 5268])).
% 2.44/1.92 tff(5298,plain,
% 2.44/1.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s132) | (~node4(s132)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s132) | (~node4(s132)))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5299,plain,
% 2.44/1.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s132) | (~node4(s132)))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5300,plain,
% 2.44/1.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s132) | (~node4(s132))),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5299, 5298])).
% 2.44/1.92 tff(5301,plain,
% 2.44/1.92 (~node4(s132)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5300, 113, 5297])).
% 2.44/1.92 tff(5302,plain,
% 2.44/1.92 (((~![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)))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5303,plain,
% 2.44/1.92 ((node4(s132) | (~until5(s132)) | xuntil6(s132)) <=> (xuntil6(s132) | node4(s132) | (~until5(s132)))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5304,plain,
% 2.44/1.92 (((~![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))))),
% 2.44/1.92 inference(monotonicity,[status(thm)],[5303])).
% 2.44/1.92 tff(5305,plain,
% 2.44/1.92 (((~![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)))),
% 2.44/1.92 inference(transitivity,[status(thm)],[5304, 5302])).
% 2.44/1.92 tff(5306,plain,
% 2.44/1.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s132) | (~until5(s132)) | xuntil6(s132))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5307,plain,
% 2.44/1.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s132) | node4(s132) | (~until5(s132))),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5306, 5305])).
% 2.44/1.92 tff(5308,plain,
% 2.44/1.92 (xuntil6(s132) | (~until5(s132))),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5307, 225, 5301])).
% 2.44/1.92 tff(5309,plain,
% 2.44/1.92 (~until5(s132)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5308, 5288])).
% 2.44/1.92 tff(5310,plain,
% 2.44/1.92 (succ(s131, s132) <=> succ(s131, s132)),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5311,axiom,(succ(s131, s132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound132')).
% 2.44/1.92 tff(5312,plain,
% 2.44/1.92 (succ(s131, s132)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5311, 5310])).
% 2.44/1.92 tff(5313,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5314,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s131, s132)) | (~xuntil6(s131)) | until5(s132))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5315,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s131, s132)) | (~xuntil6(s131)) | until5(s132)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5314, 5313])).
% 2.44/1.92 tff(5316,plain,
% 2.44/1.92 ((~xuntil6(s131)) | until5(s132)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5315, 5312, 243])).
% 2.44/1.92 tff(5317,plain,
% 2.44/1.92 (~xuntil6(s131)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5316, 5309])).
% 2.44/1.92 tff(5318,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5319,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s131, s132)) | trans(s131, s132))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5320,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s131, s132)) | trans(s131, s132)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5319, 5318])).
% 2.44/1.92 tff(5321,plain,
% 2.44/1.92 (trans(s131, s132)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5320, 5312, 21])).
% 2.44/1.92 tff(5322,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5323,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s131, s132)) | (~always3(s131)) | always3(s132))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5324,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s131, s132)) | (~always3(s131)) | always3(s132)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5323, 5322])).
% 2.44/1.92 tff(5325,plain,
% 2.44/1.92 ((~always3(s131)) | always3(s132)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5324, 38, 5321])).
% 2.44/1.92 tff(5326,plain,
% 2.44/1.92 (~always3(s131)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5325, 5297])).
% 2.44/1.92 tff(5327,plain,
% 2.44/1.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s131) | (~node4(s131)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s131) | (~node4(s131)))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5328,plain,
% 2.44/1.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s131) | (~node4(s131)))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5329,plain,
% 2.44/1.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s131) | (~node4(s131))),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5328, 5327])).
% 2.44/1.92 tff(5330,plain,
% 2.44/1.92 (~node4(s131)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5329, 113, 5326])).
% 2.44/1.92 tff(5331,plain,
% 2.44/1.92 (((~![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)))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5332,plain,
% 2.44/1.92 ((node4(s131) | (~until5(s131)) | xuntil6(s131)) <=> (xuntil6(s131) | node4(s131) | (~until5(s131)))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5333,plain,
% 2.44/1.92 (((~![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))))),
% 2.44/1.92 inference(monotonicity,[status(thm)],[5332])).
% 2.44/1.92 tff(5334,plain,
% 2.44/1.92 (((~![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)))),
% 2.44/1.92 inference(transitivity,[status(thm)],[5333, 5331])).
% 2.44/1.92 tff(5335,plain,
% 2.44/1.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s131) | (~until5(s131)) | xuntil6(s131))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5336,plain,
% 2.44/1.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s131) | node4(s131) | (~until5(s131))),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5335, 5334])).
% 2.44/1.92 tff(5337,plain,
% 2.44/1.92 (xuntil6(s131) | (~until5(s131))),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5336, 225, 5330])).
% 2.44/1.92 tff(5338,plain,
% 2.44/1.92 (~until5(s131)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5337, 5317])).
% 2.44/1.92 tff(5339,plain,
% 2.44/1.92 (succ(s130, s131) <=> succ(s130, s131)),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5340,axiom,(succ(s130, s131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound131')).
% 2.44/1.92 tff(5341,plain,
% 2.44/1.92 (succ(s130, s131)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5340, 5339])).
% 2.44/1.92 tff(5342,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5343,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s130, s131)) | (~xuntil6(s130)) | until5(s131))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5344,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s130, s131)) | (~xuntil6(s130)) | until5(s131)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5343, 5342])).
% 2.44/1.92 tff(5345,plain,
% 2.44/1.92 ((~xuntil6(s130)) | until5(s131)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5344, 5341, 243])).
% 2.44/1.92 tff(5346,plain,
% 2.44/1.92 (~xuntil6(s130)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5345, 5338])).
% 2.44/1.92 tff(5347,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5348,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s130, s131)) | trans(s130, s131))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5349,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s130, s131)) | trans(s130, s131)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5348, 5347])).
% 2.44/1.92 tff(5350,plain,
% 2.44/1.92 (trans(s130, s131)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5349, 5341, 21])).
% 2.44/1.92 tff(5351,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5352,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s130, s131)) | (~always3(s130)) | always3(s131))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5353,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s130, s131)) | (~always3(s130)) | always3(s131)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5352, 5351])).
% 2.44/1.92 tff(5354,plain,
% 2.44/1.92 ((~always3(s130)) | always3(s131)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5353, 38, 5350])).
% 2.44/1.92 tff(5355,plain,
% 2.44/1.92 (~always3(s130)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5354, 5326])).
% 2.44/1.92 tff(5356,plain,
% 2.44/1.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s130) | (~node4(s130)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s130) | (~node4(s130)))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5357,plain,
% 2.44/1.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s130) | (~node4(s130)))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5358,plain,
% 2.44/1.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s130) | (~node4(s130))),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5357, 5356])).
% 2.44/1.92 tff(5359,plain,
% 2.44/1.92 (~node4(s130)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5358, 113, 5355])).
% 2.44/1.92 tff(5360,plain,
% 2.44/1.92 (((~![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)))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5361,plain,
% 2.44/1.92 ((node4(s130) | (~until5(s130)) | xuntil6(s130)) <=> (xuntil6(s130) | node4(s130) | (~until5(s130)))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5362,plain,
% 2.44/1.92 (((~![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))))),
% 2.44/1.92 inference(monotonicity,[status(thm)],[5361])).
% 2.44/1.92 tff(5363,plain,
% 2.44/1.92 (((~![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)))),
% 2.44/1.92 inference(transitivity,[status(thm)],[5362, 5360])).
% 2.44/1.92 tff(5364,plain,
% 2.44/1.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s130) | (~until5(s130)) | xuntil6(s130))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5365,plain,
% 2.44/1.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s130) | node4(s130) | (~until5(s130))),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5364, 5363])).
% 2.44/1.92 tff(5366,plain,
% 2.44/1.92 (xuntil6(s130) | (~until5(s130))),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5365, 225, 5359])).
% 2.44/1.92 tff(5367,plain,
% 2.44/1.92 (~until5(s130)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5366, 5346])).
% 2.44/1.92 tff(5368,plain,
% 2.44/1.92 (succ(s129, s130) <=> succ(s129, s130)),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5369,axiom,(succ(s129, s130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound130')).
% 2.44/1.92 tff(5370,plain,
% 2.44/1.92 (succ(s129, s130)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5369, 5368])).
% 2.44/1.92 tff(5371,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5372,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s129, s130)) | (~xuntil6(s129)) | until5(s130))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5373,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s129, s130)) | (~xuntil6(s129)) | until5(s130)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5372, 5371])).
% 2.44/1.92 tff(5374,plain,
% 2.44/1.92 ((~xuntil6(s129)) | until5(s130)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5373, 5370, 243])).
% 2.44/1.92 tff(5375,plain,
% 2.44/1.92 (~xuntil6(s129)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5374, 5367])).
% 2.44/1.92 tff(5376,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5377,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s129, s130)) | trans(s129, s130))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5378,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s129, s130)) | trans(s129, s130)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5377, 5376])).
% 2.44/1.92 tff(5379,plain,
% 2.44/1.92 (trans(s129, s130)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5378, 5370, 21])).
% 2.44/1.92 tff(5380,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5381,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s129, s130)) | (~always3(s129)) | always3(s130))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5382,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s129, s130)) | (~always3(s129)) | always3(s130)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5381, 5380])).
% 2.44/1.92 tff(5383,plain,
% 2.44/1.92 ((~always3(s129)) | always3(s130)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5382, 38, 5379])).
% 2.44/1.92 tff(5384,plain,
% 2.44/1.92 (~always3(s129)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5383, 5355])).
% 2.44/1.92 tff(5385,plain,
% 2.44/1.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s129) | (~node4(s129)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s129) | (~node4(s129)))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5386,plain,
% 2.44/1.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s129) | (~node4(s129)))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5387,plain,
% 2.44/1.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s129) | (~node4(s129))),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5386, 5385])).
% 2.44/1.92 tff(5388,plain,
% 2.44/1.92 (~node4(s129)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5387, 113, 5384])).
% 2.44/1.92 tff(5389,plain,
% 2.44/1.92 (((~![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)))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5390,plain,
% 2.44/1.92 ((node4(s129) | (~until5(s129)) | xuntil6(s129)) <=> (xuntil6(s129) | node4(s129) | (~until5(s129)))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5391,plain,
% 2.44/1.92 (((~![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))))),
% 2.44/1.92 inference(monotonicity,[status(thm)],[5390])).
% 2.44/1.92 tff(5392,plain,
% 2.44/1.92 (((~![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)))),
% 2.44/1.92 inference(transitivity,[status(thm)],[5391, 5389])).
% 2.44/1.92 tff(5393,plain,
% 2.44/1.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s129) | (~until5(s129)) | xuntil6(s129))),
% 2.44/1.92 inference(quant_inst,[status(thm)],[])).
% 2.44/1.92 tff(5394,plain,
% 2.44/1.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s129) | node4(s129) | (~until5(s129))),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5393, 5392])).
% 2.44/1.92 tff(5395,plain,
% 2.44/1.92 (xuntil6(s129) | (~until5(s129))),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5394, 225, 5388])).
% 2.44/1.92 tff(5396,plain,
% 2.44/1.92 (~until5(s129)),
% 2.44/1.92 inference(unit_resolution,[status(thm)],[5395, 5375])).
% 2.44/1.92 tff(5397,plain,
% 2.44/1.92 (succ(s128, s129) <=> succ(s128, s129)),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5398,axiom,(succ(s128, s129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound129')).
% 2.44/1.92 tff(5399,plain,
% 2.44/1.92 (succ(s128, s129)),
% 2.44/1.92 inference(modus_ponens,[status(thm)],[5398, 5397])).
% 2.44/1.92 tff(5400,plain,
% 2.44/1.92 (((~![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))),
% 2.44/1.92 inference(rewrite,[status(thm)],[])).
% 2.44/1.92 tff(5401,plain,
% 2.44/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s128, s129)) | (~xuntil6(s128)) | until5(s129))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5402,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s128, s129)) | (~xuntil6(s128)) | until5(s129)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5401, 5400])).
% 2.44/1.93 tff(5403,plain,
% 2.44/1.93 ((~xuntil6(s128)) | until5(s129)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5402, 5399, 243])).
% 2.44/1.93 tff(5404,plain,
% 2.44/1.93 (~xuntil6(s128)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5403, 5396])).
% 2.44/1.93 tff(5405,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5406,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s128, s129)) | trans(s128, s129))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5407,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s128, s129)) | trans(s128, s129)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5406, 5405])).
% 2.44/1.93 tff(5408,plain,
% 2.44/1.93 (trans(s128, s129)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5407, 5399, 21])).
% 2.44/1.93 tff(5409,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5410,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s128, s129)) | (~always3(s128)) | always3(s129))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5411,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s128, s129)) | (~always3(s128)) | always3(s129)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5410, 5409])).
% 2.44/1.93 tff(5412,plain,
% 2.44/1.93 ((~always3(s128)) | always3(s129)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5411, 38, 5408])).
% 2.44/1.93 tff(5413,plain,
% 2.44/1.93 (~always3(s128)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5412, 5384])).
% 2.44/1.93 tff(5414,plain,
% 2.44/1.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s128) | (~node4(s128)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s128) | (~node4(s128)))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5415,plain,
% 2.44/1.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s128) | (~node4(s128)))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5416,plain,
% 2.44/1.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s128) | (~node4(s128))),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5415, 5414])).
% 2.44/1.93 tff(5417,plain,
% 2.44/1.93 (~node4(s128)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5416, 113, 5413])).
% 2.44/1.93 tff(5418,plain,
% 2.44/1.93 (((~![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)))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5419,plain,
% 2.44/1.93 ((node4(s128) | (~until5(s128)) | xuntil6(s128)) <=> (xuntil6(s128) | node4(s128) | (~until5(s128)))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5420,plain,
% 2.44/1.93 (((~![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))))),
% 2.44/1.93 inference(monotonicity,[status(thm)],[5419])).
% 2.44/1.93 tff(5421,plain,
% 2.44/1.93 (((~![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)))),
% 2.44/1.93 inference(transitivity,[status(thm)],[5420, 5418])).
% 2.44/1.93 tff(5422,plain,
% 2.44/1.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s128) | (~until5(s128)) | xuntil6(s128))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5423,plain,
% 2.44/1.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s128) | node4(s128) | (~until5(s128))),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5422, 5421])).
% 2.44/1.93 tff(5424,plain,
% 2.44/1.93 (xuntil6(s128) | (~until5(s128))),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5423, 225, 5417])).
% 2.44/1.93 tff(5425,plain,
% 2.44/1.93 (~until5(s128)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5424, 5404])).
% 2.44/1.93 tff(5426,plain,
% 2.44/1.93 (succ(s127, s128) <=> succ(s127, s128)),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5427,axiom,(succ(s127, s128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound128')).
% 2.44/1.93 tff(5428,plain,
% 2.44/1.93 (succ(s127, s128)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5427, 5426])).
% 2.44/1.93 tff(5429,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5430,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s127, s128)) | trans(s127, s128))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5431,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s127, s128)) | trans(s127, s128)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5430, 5429])).
% 2.44/1.93 tff(5432,plain,
% 2.44/1.93 (trans(s127, s128)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5431, 5428, 21])).
% 2.44/1.93 tff(5433,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5434,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s127, s128)) | (~always3(s127)) | always3(s128))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5435,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s127, s128)) | (~always3(s127)) | always3(s128)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5434, 5433])).
% 2.44/1.93 tff(5436,plain,
% 2.44/1.93 ((~always3(s127)) | always3(s128)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5435, 38, 5432])).
% 2.44/1.93 tff(5437,plain,
% 2.44/1.93 (~always3(s127)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5436, 5413])).
% 2.44/1.93 tff(5438,plain,
% 2.44/1.93 (succ(s126, s127) <=> succ(s126, s127)),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5439,axiom,(succ(s126, s127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound127')).
% 2.44/1.93 tff(5440,plain,
% 2.44/1.93 (succ(s126, s127)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5439, 5438])).
% 2.44/1.93 tff(5441,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5442,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s126, s127)) | trans(s126, s127))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5443,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s126, s127)) | trans(s126, s127)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5442, 5441])).
% 2.44/1.93 tff(5444,plain,
% 2.44/1.93 (trans(s126, s127)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5443, 5440, 21])).
% 2.44/1.93 tff(5445,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5446,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s126, s127)) | (~always3(s126)) | always3(s127))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5447,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s126, s127)) | (~always3(s126)) | always3(s127)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5446, 5445])).
% 2.44/1.93 tff(5448,plain,
% 2.44/1.93 ((~always3(s126)) | always3(s127)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5447, 38, 5444])).
% 2.44/1.93 tff(5449,plain,
% 2.44/1.93 (~always3(s126)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5448, 5437])).
% 2.44/1.93 tff(5450,plain,
% 2.44/1.93 (succ(s125, s126) <=> succ(s125, s126)),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5451,axiom,(succ(s125, s126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound126')).
% 2.44/1.93 tff(5452,plain,
% 2.44/1.93 (succ(s125, s126)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5451, 5450])).
% 2.44/1.93 tff(5453,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5454,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s125, s126)) | trans(s125, s126))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5455,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s125, s126)) | trans(s125, s126)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5454, 5453])).
% 2.44/1.93 tff(5456,plain,
% 2.44/1.93 (trans(s125, s126)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5455, 5452, 21])).
% 2.44/1.93 tff(5457,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5458,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s125, s126)) | (~always3(s125)) | always3(s126))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5459,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s125, s126)) | (~always3(s125)) | always3(s126)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5458, 5457])).
% 2.44/1.93 tff(5460,plain,
% 2.44/1.93 ((~always3(s125)) | always3(s126)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5459, 38, 5456])).
% 2.44/1.93 tff(5461,plain,
% 2.44/1.93 (~always3(s125)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5460, 5449])).
% 2.44/1.93 tff(5462,plain,
% 2.44/1.93 (succ(s124, s125) <=> succ(s124, s125)),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5463,axiom,(succ(s124, s125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound125')).
% 2.44/1.93 tff(5464,plain,
% 2.44/1.93 (succ(s124, s125)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5463, 5462])).
% 2.44/1.93 tff(5465,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5466,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s124, s125)) | trans(s124, s125))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5467,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s124, s125)) | trans(s124, s125)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5466, 5465])).
% 2.44/1.93 tff(5468,plain,
% 2.44/1.93 (trans(s124, s125)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5467, 5464, 21])).
% 2.44/1.93 tff(5469,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5470,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s124, s125)) | (~always3(s124)) | always3(s125))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5471,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s124, s125)) | (~always3(s124)) | always3(s125)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5470, 5469])).
% 2.44/1.93 tff(5472,plain,
% 2.44/1.93 ((~always3(s124)) | always3(s125)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5471, 38, 5468])).
% 2.44/1.93 tff(5473,plain,
% 2.44/1.93 (~always3(s124)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5472, 5461])).
% 2.44/1.93 tff(5474,plain,
% 2.44/1.93 (succ(s123, s124) <=> succ(s123, s124)),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5475,axiom,(succ(s123, s124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound124')).
% 2.44/1.93 tff(5476,plain,
% 2.44/1.93 (succ(s123, s124)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5475, 5474])).
% 2.44/1.93 tff(5477,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5478,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s123, s124)) | trans(s123, s124))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5479,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s123, s124)) | trans(s123, s124)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5478, 5477])).
% 2.44/1.93 tff(5480,plain,
% 2.44/1.93 (trans(s123, s124)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5479, 5476, 21])).
% 2.44/1.93 tff(5481,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5482,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s123, s124)) | (~always3(s123)) | always3(s124))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5483,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s123, s124)) | (~always3(s123)) | always3(s124)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5482, 5481])).
% 2.44/1.93 tff(5484,plain,
% 2.44/1.93 ((~always3(s123)) | always3(s124)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5483, 38, 5480])).
% 2.44/1.93 tff(5485,plain,
% 2.44/1.93 (~always3(s123)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5484, 5473])).
% 2.44/1.93 tff(5486,plain,
% 2.44/1.93 (succ(s122, s123) <=> succ(s122, s123)),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5487,axiom,(succ(s122, s123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound123')).
% 2.44/1.93 tff(5488,plain,
% 2.44/1.93 (succ(s122, s123)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5487, 5486])).
% 2.44/1.93 tff(5489,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5490,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s122, s123)) | trans(s122, s123))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5491,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s122, s123)) | trans(s122, s123)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5490, 5489])).
% 2.44/1.93 tff(5492,plain,
% 2.44/1.93 (trans(s122, s123)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5491, 5488, 21])).
% 2.44/1.93 tff(5493,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5494,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s122, s123)) | (~always3(s122)) | always3(s123))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5495,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s122, s123)) | (~always3(s122)) | always3(s123)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5494, 5493])).
% 2.44/1.93 tff(5496,plain,
% 2.44/1.93 ((~always3(s122)) | always3(s123)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5495, 38, 5492])).
% 2.44/1.93 tff(5497,plain,
% 2.44/1.93 (~always3(s122)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5496, 5485])).
% 2.44/1.93 tff(5498,plain,
% 2.44/1.93 (succ(s121, s122) <=> succ(s121, s122)),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5499,axiom,(succ(s121, s122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound122')).
% 2.44/1.93 tff(5500,plain,
% 2.44/1.93 (succ(s121, s122)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5499, 5498])).
% 2.44/1.93 tff(5501,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5502,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s121, s122)) | trans(s121, s122))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5503,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s121, s122)) | trans(s121, s122)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5502, 5501])).
% 2.44/1.93 tff(5504,plain,
% 2.44/1.93 (trans(s121, s122)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5503, 5500, 21])).
% 2.44/1.93 tff(5505,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5506,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s121, s122)) | (~always3(s121)) | always3(s122))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5507,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s121, s122)) | (~always3(s121)) | always3(s122)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5506, 5505])).
% 2.44/1.93 tff(5508,plain,
% 2.44/1.93 ((~always3(s121)) | always3(s122)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5507, 38, 5504])).
% 2.44/1.93 tff(5509,plain,
% 2.44/1.93 (~always3(s121)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5508, 5497])).
% 2.44/1.93 tff(5510,plain,
% 2.44/1.93 (succ(s120, s121) <=> succ(s120, s121)),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5511,axiom,(succ(s120, s121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound121')).
% 2.44/1.93 tff(5512,plain,
% 2.44/1.93 (succ(s120, s121)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5511, 5510])).
% 2.44/1.93 tff(5513,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5514,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s120, s121)) | trans(s120, s121))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5515,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s120, s121)) | trans(s120, s121)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5514, 5513])).
% 2.44/1.93 tff(5516,plain,
% 2.44/1.93 (trans(s120, s121)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5515, 5512, 21])).
% 2.44/1.93 tff(5517,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5518,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s120, s121)) | (~always3(s120)) | always3(s121))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5519,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s120, s121)) | (~always3(s120)) | always3(s121)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5518, 5517])).
% 2.44/1.93 tff(5520,plain,
% 2.44/1.93 ((~always3(s120)) | always3(s121)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5519, 38, 5516])).
% 2.44/1.93 tff(5521,plain,
% 2.44/1.93 (~always3(s120)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5520, 5509])).
% 2.44/1.93 tff(5522,plain,
% 2.44/1.93 (succ(s119, s120) <=> succ(s119, s120)),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5523,axiom,(succ(s119, s120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound120')).
% 2.44/1.93 tff(5524,plain,
% 2.44/1.93 (succ(s119, s120)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5523, 5522])).
% 2.44/1.93 tff(5525,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5526,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s119, s120)) | trans(s119, s120))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5527,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s119, s120)) | trans(s119, s120)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5526, 5525])).
% 2.44/1.93 tff(5528,plain,
% 2.44/1.93 (trans(s119, s120)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5527, 5524, 21])).
% 2.44/1.93 tff(5529,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5530,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s119, s120)) | (~always3(s119)) | always3(s120))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5531,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s119, s120)) | (~always3(s119)) | always3(s120)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5530, 5529])).
% 2.44/1.93 tff(5532,plain,
% 2.44/1.93 ((~always3(s119)) | always3(s120)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5531, 38, 5528])).
% 2.44/1.93 tff(5533,plain,
% 2.44/1.93 (~always3(s119)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5532, 5521])).
% 2.44/1.93 tff(5534,plain,
% 2.44/1.93 (succ(s118, s119) <=> succ(s118, s119)),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5535,axiom,(succ(s118, s119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound119')).
% 2.44/1.93 tff(5536,plain,
% 2.44/1.93 (succ(s118, s119)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5535, 5534])).
% 2.44/1.93 tff(5537,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5538,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s118, s119)) | trans(s118, s119))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5539,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s118, s119)) | trans(s118, s119)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5538, 5537])).
% 2.44/1.93 tff(5540,plain,
% 2.44/1.93 (trans(s118, s119)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5539, 5536, 21])).
% 2.44/1.93 tff(5541,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5542,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s118, s119)) | (~always3(s118)) | always3(s119))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5543,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s118, s119)) | (~always3(s118)) | always3(s119)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5542, 5541])).
% 2.44/1.93 tff(5544,plain,
% 2.44/1.93 ((~always3(s118)) | always3(s119)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5543, 38, 5540])).
% 2.44/1.93 tff(5545,plain,
% 2.44/1.93 (~always3(s118)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5544, 5533])).
% 2.44/1.93 tff(5546,plain,
% 2.44/1.93 (succ(s117, s118) <=> succ(s117, s118)),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5547,axiom,(succ(s117, s118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound118')).
% 2.44/1.93 tff(5548,plain,
% 2.44/1.93 (succ(s117, s118)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5547, 5546])).
% 2.44/1.93 tff(5549,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5550,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s117, s118)) | trans(s117, s118))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5551,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s117, s118)) | trans(s117, s118)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5550, 5549])).
% 2.44/1.93 tff(5552,plain,
% 2.44/1.93 (trans(s117, s118)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5551, 5548, 21])).
% 2.44/1.93 tff(5553,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5554,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s117, s118)) | (~always3(s117)) | always3(s118))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5555,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s117, s118)) | (~always3(s117)) | always3(s118)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5554, 5553])).
% 2.44/1.93 tff(5556,plain,
% 2.44/1.93 ((~always3(s117)) | always3(s118)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5555, 38, 5552])).
% 2.44/1.93 tff(5557,plain,
% 2.44/1.93 (~always3(s117)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5556, 5545])).
% 2.44/1.93 tff(5558,plain,
% 2.44/1.93 (succ(s116, s117) <=> succ(s116, s117)),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5559,axiom,(succ(s116, s117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound117')).
% 2.44/1.93 tff(5560,plain,
% 2.44/1.93 (succ(s116, s117)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5559, 5558])).
% 2.44/1.93 tff(5561,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5562,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s116, s117)) | trans(s116, s117))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5563,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s116, s117)) | trans(s116, s117)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5562, 5561])).
% 2.44/1.93 tff(5564,plain,
% 2.44/1.93 (trans(s116, s117)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5563, 5560, 21])).
% 2.44/1.93 tff(5565,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5566,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s116, s117)) | (~always3(s116)) | always3(s117))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5567,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s116, s117)) | (~always3(s116)) | always3(s117)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5566, 5565])).
% 2.44/1.93 tff(5568,plain,
% 2.44/1.93 ((~always3(s116)) | always3(s117)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5567, 38, 5564])).
% 2.44/1.93 tff(5569,plain,
% 2.44/1.93 (~always3(s116)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5568, 5557])).
% 2.44/1.93 tff(5570,plain,
% 2.44/1.93 (succ(s115, s116) <=> succ(s115, s116)),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5571,axiom,(succ(s115, s116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound116')).
% 2.44/1.93 tff(5572,plain,
% 2.44/1.93 (succ(s115, s116)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5571, 5570])).
% 2.44/1.93 tff(5573,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5574,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s115, s116)) | trans(s115, s116))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5575,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s115, s116)) | trans(s115, s116)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5574, 5573])).
% 2.44/1.93 tff(5576,plain,
% 2.44/1.93 (trans(s115, s116)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5575, 5572, 21])).
% 2.44/1.93 tff(5577,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5578,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s115, s116)) | (~always3(s115)) | always3(s116))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5579,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s115, s116)) | (~always3(s115)) | always3(s116)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5578, 5577])).
% 2.44/1.93 tff(5580,plain,
% 2.44/1.93 ((~always3(s115)) | always3(s116)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5579, 38, 5576])).
% 2.44/1.93 tff(5581,plain,
% 2.44/1.93 (~always3(s115)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5580, 5569])).
% 2.44/1.93 tff(5582,plain,
% 2.44/1.93 (succ(s114, s115) <=> succ(s114, s115)),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5583,axiom,(succ(s114, s115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound115')).
% 2.44/1.93 tff(5584,plain,
% 2.44/1.93 (succ(s114, s115)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5583, 5582])).
% 2.44/1.93 tff(5585,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5586,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s114, s115)) | trans(s114, s115))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5587,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s114, s115)) | trans(s114, s115)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5586, 5585])).
% 2.44/1.93 tff(5588,plain,
% 2.44/1.93 (trans(s114, s115)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5587, 5584, 21])).
% 2.44/1.93 tff(5589,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5590,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s114, s115)) | (~always3(s114)) | always3(s115))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5591,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s114, s115)) | (~always3(s114)) | always3(s115)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5590, 5589])).
% 2.44/1.93 tff(5592,plain,
% 2.44/1.93 ((~always3(s114)) | always3(s115)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5591, 38, 5588])).
% 2.44/1.93 tff(5593,plain,
% 2.44/1.93 (~always3(s114)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5592, 5581])).
% 2.44/1.93 tff(5594,plain,
% 2.44/1.93 (succ(s113, s114) <=> succ(s113, s114)),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5595,axiom,(succ(s113, s114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound114')).
% 2.44/1.93 tff(5596,plain,
% 2.44/1.93 (succ(s113, s114)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5595, 5594])).
% 2.44/1.93 tff(5597,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5598,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s113, s114)) | trans(s113, s114))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5599,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s113, s114)) | trans(s113, s114)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5598, 5597])).
% 2.44/1.93 tff(5600,plain,
% 2.44/1.93 (trans(s113, s114)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5599, 5596, 21])).
% 2.44/1.93 tff(5601,plain,
% 2.44/1.93 (((~![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))),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5602,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s113, s114)) | (~always3(s113)) | always3(s114))),
% 2.44/1.93 inference(quant_inst,[status(thm)],[])).
% 2.44/1.93 tff(5603,plain,
% 2.44/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s113, s114)) | (~always3(s113)) | always3(s114)),
% 2.44/1.93 inference(modus_ponens,[status(thm)],[5602, 5601])).
% 2.44/1.93 tff(5604,plain,
% 2.44/1.93 ((~always3(s113)) | always3(s114)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5603, 38, 5600])).
% 2.44/1.93 tff(5605,plain,
% 2.44/1.93 (~always3(s113)),
% 2.44/1.93 inference(unit_resolution,[status(thm)],[5604, 5593])).
% 2.44/1.93 tff(5606,plain,
% 2.44/1.93 (succ(s112, s113) <=> succ(s112, s113)),
% 2.44/1.93 inference(rewrite,[status(thm)],[])).
% 2.44/1.93 tff(5607,axiom,(succ(s112, s113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound113')).
% 2.44/1.94 tff(5608,plain,
% 2.44/1.94 (succ(s112, s113)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5607, 5606])).
% 2.44/1.94 tff(5609,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5610,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s112, s113)) | trans(s112, s113))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5611,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s112, s113)) | trans(s112, s113)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5610, 5609])).
% 2.44/1.94 tff(5612,plain,
% 2.44/1.94 (trans(s112, s113)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5611, 5608, 21])).
% 2.44/1.94 tff(5613,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5614,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s112, s113)) | (~always3(s112)) | always3(s113))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5615,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s112, s113)) | (~always3(s112)) | always3(s113)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5614, 5613])).
% 2.44/1.94 tff(5616,plain,
% 2.44/1.94 ((~always3(s112)) | always3(s113)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5615, 38, 5612])).
% 2.44/1.94 tff(5617,plain,
% 2.44/1.94 (~always3(s112)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5616, 5605])).
% 2.44/1.94 tff(5618,plain,
% 2.44/1.94 (succ(s111, s112) <=> succ(s111, s112)),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5619,axiom,(succ(s111, s112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound112')).
% 2.44/1.94 tff(5620,plain,
% 2.44/1.94 (succ(s111, s112)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5619, 5618])).
% 2.44/1.94 tff(5621,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5622,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s111, s112)) | trans(s111, s112))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5623,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s111, s112)) | trans(s111, s112)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5622, 5621])).
% 2.44/1.94 tff(5624,plain,
% 2.44/1.94 (trans(s111, s112)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5623, 5620, 21])).
% 2.44/1.94 tff(5625,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5626,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s111, s112)) | (~always3(s111)) | always3(s112))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5627,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s111, s112)) | (~always3(s111)) | always3(s112)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5626, 5625])).
% 2.44/1.94 tff(5628,plain,
% 2.44/1.94 ((~always3(s111)) | always3(s112)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5627, 38, 5624])).
% 2.44/1.94 tff(5629,plain,
% 2.44/1.94 (~always3(s111)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5628, 5617])).
% 2.44/1.94 tff(5630,plain,
% 2.44/1.94 (succ(s110, s111) <=> succ(s110, s111)),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5631,axiom,(succ(s110, s111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound111')).
% 2.44/1.94 tff(5632,plain,
% 2.44/1.94 (succ(s110, s111)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5631, 5630])).
% 2.44/1.94 tff(5633,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5634,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s110, s111)) | trans(s110, s111))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5635,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s110, s111)) | trans(s110, s111)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5634, 5633])).
% 2.44/1.94 tff(5636,plain,
% 2.44/1.94 (trans(s110, s111)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5635, 5632, 21])).
% 2.44/1.94 tff(5637,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5638,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s110, s111)) | (~always3(s110)) | always3(s111))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5639,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s110, s111)) | (~always3(s110)) | always3(s111)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5638, 5637])).
% 2.44/1.94 tff(5640,plain,
% 2.44/1.94 ((~always3(s110)) | always3(s111)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5639, 38, 5636])).
% 2.44/1.94 tff(5641,plain,
% 2.44/1.94 (~always3(s110)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5640, 5629])).
% 2.44/1.94 tff(5642,plain,
% 2.44/1.94 (succ(s109, s110) <=> succ(s109, s110)),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5643,axiom,(succ(s109, s110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound110')).
% 2.44/1.94 tff(5644,plain,
% 2.44/1.94 (succ(s109, s110)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5643, 5642])).
% 2.44/1.94 tff(5645,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5646,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s109, s110)) | trans(s109, s110))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5647,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s109, s110)) | trans(s109, s110)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5646, 5645])).
% 2.44/1.94 tff(5648,plain,
% 2.44/1.94 (trans(s109, s110)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5647, 5644, 21])).
% 2.44/1.94 tff(5649,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5650,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s109, s110)) | (~always3(s109)) | always3(s110))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5651,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s109, s110)) | (~always3(s109)) | always3(s110)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5650, 5649])).
% 2.44/1.94 tff(5652,plain,
% 2.44/1.94 ((~always3(s109)) | always3(s110)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5651, 38, 5648])).
% 2.44/1.94 tff(5653,plain,
% 2.44/1.94 (~always3(s109)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5652, 5641])).
% 2.44/1.94 tff(5654,plain,
% 2.44/1.94 (succ(s108, s109) <=> succ(s108, s109)),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5655,axiom,(succ(s108, s109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound109')).
% 2.44/1.94 tff(5656,plain,
% 2.44/1.94 (succ(s108, s109)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5655, 5654])).
% 2.44/1.94 tff(5657,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5658,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s108, s109)) | trans(s108, s109))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5659,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s108, s109)) | trans(s108, s109)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5658, 5657])).
% 2.44/1.94 tff(5660,plain,
% 2.44/1.94 (trans(s108, s109)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5659, 5656, 21])).
% 2.44/1.94 tff(5661,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5662,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s108, s109)) | (~always3(s108)) | always3(s109))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5663,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s108, s109)) | (~always3(s108)) | always3(s109)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5662, 5661])).
% 2.44/1.94 tff(5664,plain,
% 2.44/1.94 ((~always3(s108)) | always3(s109)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5663, 38, 5660])).
% 2.44/1.94 tff(5665,plain,
% 2.44/1.94 (~always3(s108)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5664, 5653])).
% 2.44/1.94 tff(5666,plain,
% 2.44/1.94 (succ(s107, s108) <=> succ(s107, s108)),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5667,axiom,(succ(s107, s108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound108')).
% 2.44/1.94 tff(5668,plain,
% 2.44/1.94 (succ(s107, s108)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5667, 5666])).
% 2.44/1.94 tff(5669,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5670,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s107, s108)) | trans(s107, s108))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5671,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s107, s108)) | trans(s107, s108)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5670, 5669])).
% 2.44/1.94 tff(5672,plain,
% 2.44/1.94 (trans(s107, s108)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5671, 5668, 21])).
% 2.44/1.94 tff(5673,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5674,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s107, s108)) | (~always3(s107)) | always3(s108))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5675,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s107, s108)) | (~always3(s107)) | always3(s108)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5674, 5673])).
% 2.44/1.94 tff(5676,plain,
% 2.44/1.94 ((~always3(s107)) | always3(s108)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5675, 38, 5672])).
% 2.44/1.94 tff(5677,plain,
% 2.44/1.94 (~always3(s107)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5676, 5665])).
% 2.44/1.94 tff(5678,plain,
% 2.44/1.94 (succ(s106, s107) <=> succ(s106, s107)),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5679,axiom,(succ(s106, s107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound107')).
% 2.44/1.94 tff(5680,plain,
% 2.44/1.94 (succ(s106, s107)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5679, 5678])).
% 2.44/1.94 tff(5681,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5682,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s106, s107)) | trans(s106, s107))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5683,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s106, s107)) | trans(s106, s107)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5682, 5681])).
% 2.44/1.94 tff(5684,plain,
% 2.44/1.94 (trans(s106, s107)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5683, 5680, 21])).
% 2.44/1.94 tff(5685,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5686,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s106, s107)) | (~always3(s106)) | always3(s107))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5687,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s106, s107)) | (~always3(s106)) | always3(s107)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5686, 5685])).
% 2.44/1.94 tff(5688,plain,
% 2.44/1.94 ((~always3(s106)) | always3(s107)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5687, 38, 5684])).
% 2.44/1.94 tff(5689,plain,
% 2.44/1.94 (~always3(s106)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5688, 5677])).
% 2.44/1.94 tff(5690,plain,
% 2.44/1.94 (succ(s105, s106) <=> succ(s105, s106)),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5691,axiom,(succ(s105, s106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound106')).
% 2.44/1.94 tff(5692,plain,
% 2.44/1.94 (succ(s105, s106)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5691, 5690])).
% 2.44/1.94 tff(5693,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5694,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s105, s106)) | trans(s105, s106))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5695,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s105, s106)) | trans(s105, s106)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5694, 5693])).
% 2.44/1.94 tff(5696,plain,
% 2.44/1.94 (trans(s105, s106)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5695, 5692, 21])).
% 2.44/1.94 tff(5697,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5698,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s105, s106)) | (~always3(s105)) | always3(s106))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5699,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s105, s106)) | (~always3(s105)) | always3(s106)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5698, 5697])).
% 2.44/1.94 tff(5700,plain,
% 2.44/1.94 ((~always3(s105)) | always3(s106)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5699, 38, 5696])).
% 2.44/1.94 tff(5701,plain,
% 2.44/1.94 (~always3(s105)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5700, 5689])).
% 2.44/1.94 tff(5702,plain,
% 2.44/1.94 (succ(s104, s105) <=> succ(s104, s105)),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5703,axiom,(succ(s104, s105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound105')).
% 2.44/1.94 tff(5704,plain,
% 2.44/1.94 (succ(s104, s105)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5703, 5702])).
% 2.44/1.94 tff(5705,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5706,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s104, s105)) | trans(s104, s105))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5707,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s104, s105)) | trans(s104, s105)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5706, 5705])).
% 2.44/1.94 tff(5708,plain,
% 2.44/1.94 (trans(s104, s105)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5707, 5704, 21])).
% 2.44/1.94 tff(5709,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5710,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s104, s105)) | (~always3(s104)) | always3(s105))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5711,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s104, s105)) | (~always3(s104)) | always3(s105)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5710, 5709])).
% 2.44/1.94 tff(5712,plain,
% 2.44/1.94 ((~always3(s104)) | always3(s105)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5711, 38, 5708])).
% 2.44/1.94 tff(5713,plain,
% 2.44/1.94 (~always3(s104)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5712, 5701])).
% 2.44/1.94 tff(5714,plain,
% 2.44/1.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s104) | (~node4(s104)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s104) | (~node4(s104)))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5715,plain,
% 2.44/1.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s104) | (~node4(s104)))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5716,plain,
% 2.44/1.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s104) | (~node4(s104))),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5715, 5714])).
% 2.44/1.94 tff(5717,plain,
% 2.44/1.94 (~node4(s104)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5716, 113, 5713])).
% 2.44/1.94 tff(5718,plain,
% 2.44/1.94 (succ(s103, s104) <=> succ(s103, s104)),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5719,axiom,(succ(s103, s104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound104')).
% 2.44/1.94 tff(5720,plain,
% 2.44/1.94 (succ(s103, s104)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5719, 5718])).
% 2.44/1.94 tff(5721,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5722,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s103, s104)) | trans(s103, s104))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5723,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s103, s104)) | trans(s103, s104)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5722, 5721])).
% 2.44/1.94 tff(5724,plain,
% 2.44/1.94 (trans(s103, s104)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5723, 5720, 21])).
% 2.44/1.94 tff(5725,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5726,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s103, s104)) | (~always3(s103)) | always3(s104))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5727,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s103, s104)) | (~always3(s103)) | always3(s104)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5726, 5725])).
% 2.44/1.94 tff(5728,plain,
% 2.44/1.94 ((~always3(s103)) | always3(s104)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5727, 38, 5724])).
% 2.44/1.94 tff(5729,plain,
% 2.44/1.94 (~always3(s103)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5728, 5713])).
% 2.44/1.94 tff(5730,plain,
% 2.44/1.94 (succ(s102, s103) <=> succ(s102, s103)),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5731,axiom,(succ(s102, s103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound103')).
% 2.44/1.94 tff(5732,plain,
% 2.44/1.94 (succ(s102, s103)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5731, 5730])).
% 2.44/1.94 tff(5733,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5734,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s102, s103)) | trans(s102, s103))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5735,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s102, s103)) | trans(s102, s103)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5734, 5733])).
% 2.44/1.94 tff(5736,plain,
% 2.44/1.94 (trans(s102, s103)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5735, 5732, 21])).
% 2.44/1.94 tff(5737,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5738,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s102, s103)) | (~always3(s102)) | always3(s103))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5739,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s102, s103)) | (~always3(s102)) | always3(s103)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5738, 5737])).
% 2.44/1.94 tff(5740,plain,
% 2.44/1.94 ((~always3(s102)) | always3(s103)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5739, 38, 5736])).
% 2.44/1.94 tff(5741,plain,
% 2.44/1.94 (~always3(s102)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5740, 5729])).
% 2.44/1.94 tff(5742,plain,
% 2.44/1.94 (succ(s101, s102) <=> succ(s101, s102)),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5743,axiom,(succ(s101, s102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound102')).
% 2.44/1.94 tff(5744,plain,
% 2.44/1.94 (succ(s101, s102)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5743, 5742])).
% 2.44/1.94 tff(5745,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5746,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s101, s102)) | trans(s101, s102))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5747,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s101, s102)) | trans(s101, s102)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5746, 5745])).
% 2.44/1.94 tff(5748,plain,
% 2.44/1.94 (trans(s101, s102)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5747, 5744, 21])).
% 2.44/1.94 tff(5749,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5750,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s101, s102)) | (~always3(s101)) | always3(s102))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5751,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s101, s102)) | (~always3(s101)) | always3(s102)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5750, 5749])).
% 2.44/1.94 tff(5752,plain,
% 2.44/1.94 ((~always3(s101)) | always3(s102)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5751, 38, 5748])).
% 2.44/1.94 tff(5753,plain,
% 2.44/1.94 (~always3(s101)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5752, 5741])).
% 2.44/1.94 tff(5754,plain,
% 2.44/1.94 (succ(s100, s101) <=> succ(s100, s101)),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5755,axiom,(succ(s100, s101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound101')).
% 2.44/1.94 tff(5756,plain,
% 2.44/1.94 (succ(s100, s101)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5755, 5754])).
% 2.44/1.94 tff(5757,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5758,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s100, s101)) | trans(s100, s101))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5759,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s100, s101)) | trans(s100, s101)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5758, 5757])).
% 2.44/1.94 tff(5760,plain,
% 2.44/1.94 (trans(s100, s101)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5759, 5756, 21])).
% 2.44/1.94 tff(5761,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5762,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s100, s101)) | (~always3(s100)) | always3(s101))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5763,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s100, s101)) | (~always3(s100)) | always3(s101)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5762, 5761])).
% 2.44/1.94 tff(5764,plain,
% 2.44/1.94 ((~always3(s100)) | always3(s101)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5763, 38, 5760])).
% 2.44/1.94 tff(5765,plain,
% 2.44/1.94 (~always3(s100)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5764, 5753])).
% 2.44/1.94 tff(5766,plain,
% 2.44/1.94 (succ(s99, s100) <=> succ(s99, s100)),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5767,axiom,(succ(s99, s100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound100')).
% 2.44/1.94 tff(5768,plain,
% 2.44/1.94 (succ(s99, s100)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5767, 5766])).
% 2.44/1.94 tff(5769,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5770,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s99, s100)) | trans(s99, s100))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5771,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s99, s100)) | trans(s99, s100)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5770, 5769])).
% 2.44/1.94 tff(5772,plain,
% 2.44/1.94 (trans(s99, s100)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5771, 5768, 21])).
% 2.44/1.94 tff(5773,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5774,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s100)) | (~always3(s99)) | always3(s100))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5775,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s99, s100)) | (~always3(s99)) | always3(s100)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5774, 5773])).
% 2.44/1.94 tff(5776,plain,
% 2.44/1.94 ((~always3(s99)) | always3(s100)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5775, 38, 5772])).
% 2.44/1.94 tff(5777,plain,
% 2.44/1.94 (~always3(s99)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5776, 5765])).
% 2.44/1.94 tff(5778,plain,
% 2.44/1.94 (succ(s98, s99) <=> succ(s98, s99)),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5779,axiom,(succ(s98, s99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound99')).
% 2.44/1.94 tff(5780,plain,
% 2.44/1.94 (succ(s98, s99)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5779, 5778])).
% 2.44/1.94 tff(5781,plain,
% 2.44/1.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s98, s99)) | trans(s98, s99))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s98, s99)) | trans(s98, s99))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5782,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s98, s99)) | trans(s98, s99))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5783,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s98, s99)) | trans(s98, s99)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5782, 5781])).
% 2.44/1.94 tff(5784,plain,
% 2.44/1.94 (trans(s98, s99)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5783, 5780, 21])).
% 2.44/1.94 tff(5785,plain,
% 2.44/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s98, s99)) | (~always3(s98)) | always3(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s98, s99)) | (~always3(s98)) | always3(s99))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5786,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s98, s99)) | (~always3(s98)) | always3(s99))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5787,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s98, s99)) | (~always3(s98)) | always3(s99)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5786, 5785])).
% 2.44/1.94 tff(5788,plain,
% 2.44/1.94 ((~always3(s98)) | always3(s99)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5787, 38, 5784])).
% 2.44/1.94 tff(5789,plain,
% 2.44/1.94 (~always3(s98)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5788, 5777])).
% 2.44/1.94 tff(5790,plain,
% 2.44/1.94 (succ(s97, s98) <=> succ(s97, s98)),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5791,axiom,(succ(s97, s98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound98')).
% 2.44/1.94 tff(5792,plain,
% 2.44/1.94 (succ(s97, s98)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5791, 5790])).
% 2.44/1.94 tff(5793,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5794,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s97, s98)) | trans(s97, s98))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5795,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s97, s98)) | trans(s97, s98)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5794, 5793])).
% 2.44/1.94 tff(5796,plain,
% 2.44/1.94 (trans(s97, s98)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5795, 5792, 21])).
% 2.44/1.94 tff(5797,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5798,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s97, s98)) | (~always3(s97)) | always3(s98))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5799,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s97, s98)) | (~always3(s97)) | always3(s98)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5798, 5797])).
% 2.44/1.94 tff(5800,plain,
% 2.44/1.94 ((~always3(s97)) | always3(s98)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5799, 38, 5796])).
% 2.44/1.94 tff(5801,plain,
% 2.44/1.94 (~always3(s97)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5800, 5789])).
% 2.44/1.94 tff(5802,plain,
% 2.44/1.94 (succ(s96, s97) <=> succ(s96, s97)),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5803,axiom,(succ(s96, s97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound97')).
% 2.44/1.94 tff(5804,plain,
% 2.44/1.94 (succ(s96, s97)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5803, 5802])).
% 2.44/1.94 tff(5805,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.94 inference(rewrite,[status(thm)],[])).
% 2.44/1.94 tff(5806,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s96, s97)) | trans(s96, s97))),
% 2.44/1.94 inference(quant_inst,[status(thm)],[])).
% 2.44/1.94 tff(5807,plain,
% 2.44/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s96, s97)) | trans(s96, s97)),
% 2.44/1.94 inference(modus_ponens,[status(thm)],[5806, 5805])).
% 2.44/1.94 tff(5808,plain,
% 2.44/1.94 (trans(s96, s97)),
% 2.44/1.94 inference(unit_resolution,[status(thm)],[5807, 5804, 21])).
% 2.44/1.94 tff(5809,plain,
% 2.44/1.94 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5810,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s96, s97)) | (~always3(s96)) | always3(s97))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5811,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s96, s97)) | (~always3(s96)) | always3(s97)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5810, 5809])).
% 2.44/1.95 tff(5812,plain,
% 2.44/1.95 ((~always3(s96)) | always3(s97)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5811, 38, 5808])).
% 2.44/1.95 tff(5813,plain,
% 2.44/1.95 (~always3(s96)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5812, 5801])).
% 2.44/1.95 tff(5814,plain,
% 2.44/1.95 (succ(s95, s96) <=> succ(s95, s96)),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5815,axiom,(succ(s95, s96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound96')).
% 2.44/1.95 tff(5816,plain,
% 2.44/1.95 (succ(s95, s96)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5815, 5814])).
% 2.44/1.95 tff(5817,plain,
% 2.44/1.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s95, s96)) | trans(s95, s96))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s95, s96)) | trans(s95, s96))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5818,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s95, s96)) | trans(s95, s96))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5819,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s95, s96)) | trans(s95, s96)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5818, 5817])).
% 2.44/1.95 tff(5820,plain,
% 2.44/1.95 (trans(s95, s96)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5819, 5816, 21])).
% 2.44/1.95 tff(5821,plain,
% 2.44/1.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s95, s96)) | (~always3(s95)) | always3(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s95, s96)) | (~always3(s95)) | always3(s96))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5822,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s95, s96)) | (~always3(s95)) | always3(s96))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5823,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s95, s96)) | (~always3(s95)) | always3(s96)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5822, 5821])).
% 2.44/1.95 tff(5824,plain,
% 2.44/1.95 ((~always3(s95)) | always3(s96)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5823, 38, 5820])).
% 2.44/1.95 tff(5825,plain,
% 2.44/1.95 (~always3(s95)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5824, 5813])).
% 2.44/1.95 tff(5826,plain,
% 2.44/1.95 (succ(s94, s95) <=> succ(s94, s95)),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5827,axiom,(succ(s94, s95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound95')).
% 2.44/1.95 tff(5828,plain,
% 2.44/1.95 (succ(s94, s95)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5827, 5826])).
% 2.44/1.95 tff(5829,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5830,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s94, s95)) | trans(s94, s95))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5831,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s94, s95)) | trans(s94, s95)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5830, 5829])).
% 2.44/1.95 tff(5832,plain,
% 2.44/1.95 (trans(s94, s95)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5831, 5828, 21])).
% 2.44/1.95 tff(5833,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5834,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s94, s95)) | (~always3(s94)) | always3(s95))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5835,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s94, s95)) | (~always3(s94)) | always3(s95)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5834, 5833])).
% 2.44/1.95 tff(5836,plain,
% 2.44/1.95 ((~always3(s94)) | always3(s95)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5835, 38, 5832])).
% 2.44/1.95 tff(5837,plain,
% 2.44/1.95 (~always3(s94)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5836, 5825])).
% 2.44/1.95 tff(5838,plain,
% 2.44/1.95 (succ(s93, s94) <=> succ(s93, s94)),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5839,axiom,(succ(s93, s94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound94')).
% 2.44/1.95 tff(5840,plain,
% 2.44/1.95 (succ(s93, s94)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5839, 5838])).
% 2.44/1.95 tff(5841,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5842,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s93, s94)) | trans(s93, s94))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5843,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s93, s94)) | trans(s93, s94)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5842, 5841])).
% 2.44/1.95 tff(5844,plain,
% 2.44/1.95 (trans(s93, s94)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5843, 5840, 21])).
% 2.44/1.95 tff(5845,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5846,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s93, s94)) | (~always3(s93)) | always3(s94))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5847,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s93, s94)) | (~always3(s93)) | always3(s94)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5846, 5845])).
% 2.44/1.95 tff(5848,plain,
% 2.44/1.95 ((~always3(s93)) | always3(s94)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5847, 38, 5844])).
% 2.44/1.95 tff(5849,plain,
% 2.44/1.95 (~always3(s93)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5848, 5837])).
% 2.44/1.95 tff(5850,plain,
% 2.44/1.95 (succ(s92, s93) <=> succ(s92, s93)),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5851,axiom,(succ(s92, s93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound93')).
% 2.44/1.95 tff(5852,plain,
% 2.44/1.95 (succ(s92, s93)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5851, 5850])).
% 2.44/1.95 tff(5853,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5854,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s92, s93)) | trans(s92, s93))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5855,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s92, s93)) | trans(s92, s93)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5854, 5853])).
% 2.44/1.95 tff(5856,plain,
% 2.44/1.95 (trans(s92, s93)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5855, 5852, 21])).
% 2.44/1.95 tff(5857,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5858,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s92, s93)) | (~always3(s92)) | always3(s93))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5859,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s92, s93)) | (~always3(s92)) | always3(s93)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5858, 5857])).
% 2.44/1.95 tff(5860,plain,
% 2.44/1.95 ((~always3(s92)) | always3(s93)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5859, 38, 5856])).
% 2.44/1.95 tff(5861,plain,
% 2.44/1.95 (~always3(s92)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5860, 5849])).
% 2.44/1.95 tff(5862,plain,
% 2.44/1.95 (succ(s91, s92) <=> succ(s91, s92)),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5863,axiom,(succ(s91, s92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound92')).
% 2.44/1.95 tff(5864,plain,
% 2.44/1.95 (succ(s91, s92)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5863, 5862])).
% 2.44/1.95 tff(5865,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5866,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s91, s92)) | trans(s91, s92))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5867,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s91, s92)) | trans(s91, s92)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5866, 5865])).
% 2.44/1.95 tff(5868,plain,
% 2.44/1.95 (trans(s91, s92)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5867, 5864, 21])).
% 2.44/1.95 tff(5869,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5870,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s91, s92)) | (~always3(s91)) | always3(s92))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5871,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s91, s92)) | (~always3(s91)) | always3(s92)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5870, 5869])).
% 2.44/1.95 tff(5872,plain,
% 2.44/1.95 ((~always3(s91)) | always3(s92)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5871, 38, 5868])).
% 2.44/1.95 tff(5873,plain,
% 2.44/1.95 (~always3(s91)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5872, 5861])).
% 2.44/1.95 tff(5874,plain,
% 2.44/1.95 (succ(s90, s91) <=> succ(s90, s91)),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5875,axiom,(succ(s90, s91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound91')).
% 2.44/1.95 tff(5876,plain,
% 2.44/1.95 (succ(s90, s91)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5875, 5874])).
% 2.44/1.95 tff(5877,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5878,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s90, s91)) | trans(s90, s91))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5879,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s90, s91)) | trans(s90, s91)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5878, 5877])).
% 2.44/1.95 tff(5880,plain,
% 2.44/1.95 (trans(s90, s91)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5879, 5876, 21])).
% 2.44/1.95 tff(5881,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5882,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s90, s91)) | (~always3(s90)) | always3(s91))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5883,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s90, s91)) | (~always3(s90)) | always3(s91)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5882, 5881])).
% 2.44/1.95 tff(5884,plain,
% 2.44/1.95 ((~always3(s90)) | always3(s91)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5883, 38, 5880])).
% 2.44/1.95 tff(5885,plain,
% 2.44/1.95 (~always3(s90)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5884, 5873])).
% 2.44/1.95 tff(5886,plain,
% 2.44/1.95 (succ(s89, s90) <=> succ(s89, s90)),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5887,axiom,(succ(s89, s90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound90')).
% 2.44/1.95 tff(5888,plain,
% 2.44/1.95 (succ(s89, s90)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5887, 5886])).
% 2.44/1.95 tff(5889,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5890,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s89, s90)) | trans(s89, s90))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5891,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s89, s90)) | trans(s89, s90)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5890, 5889])).
% 2.44/1.95 tff(5892,plain,
% 2.44/1.95 (trans(s89, s90)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5891, 5888, 21])).
% 2.44/1.95 tff(5893,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5894,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s89, s90)) | (~always3(s89)) | always3(s90))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5895,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s89, s90)) | (~always3(s89)) | always3(s90)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5894, 5893])).
% 2.44/1.95 tff(5896,plain,
% 2.44/1.95 ((~always3(s89)) | always3(s90)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5895, 38, 5892])).
% 2.44/1.95 tff(5897,plain,
% 2.44/1.95 (~always3(s89)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5896, 5885])).
% 2.44/1.95 tff(5898,plain,
% 2.44/1.95 (succ(s88, s89) <=> succ(s88, s89)),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5899,axiom,(succ(s88, s89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound89')).
% 2.44/1.95 tff(5900,plain,
% 2.44/1.95 (succ(s88, s89)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5899, 5898])).
% 2.44/1.95 tff(5901,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5902,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s88, s89)) | trans(s88, s89))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5903,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s88, s89)) | trans(s88, s89)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5902, 5901])).
% 2.44/1.95 tff(5904,plain,
% 2.44/1.95 (trans(s88, s89)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5903, 5900, 21])).
% 2.44/1.95 tff(5905,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5906,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s88, s89)) | (~always3(s88)) | always3(s89))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5907,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s88, s89)) | (~always3(s88)) | always3(s89)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5906, 5905])).
% 2.44/1.95 tff(5908,plain,
% 2.44/1.95 ((~always3(s88)) | always3(s89)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5907, 38, 5904])).
% 2.44/1.95 tff(5909,plain,
% 2.44/1.95 (~always3(s88)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5908, 5897])).
% 2.44/1.95 tff(5910,plain,
% 2.44/1.95 (succ(s87, s88) <=> succ(s87, s88)),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5911,axiom,(succ(s87, s88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound88')).
% 2.44/1.95 tff(5912,plain,
% 2.44/1.95 (succ(s87, s88)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5911, 5910])).
% 2.44/1.95 tff(5913,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5914,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s87, s88)) | trans(s87, s88))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5915,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s87, s88)) | trans(s87, s88)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5914, 5913])).
% 2.44/1.95 tff(5916,plain,
% 2.44/1.95 (trans(s87, s88)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5915, 5912, 21])).
% 2.44/1.95 tff(5917,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5918,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s87, s88)) | (~always3(s87)) | always3(s88))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5919,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s87, s88)) | (~always3(s87)) | always3(s88)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5918, 5917])).
% 2.44/1.95 tff(5920,plain,
% 2.44/1.95 ((~always3(s87)) | always3(s88)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5919, 38, 5916])).
% 2.44/1.95 tff(5921,plain,
% 2.44/1.95 (~always3(s87)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5920, 5909])).
% 2.44/1.95 tff(5922,plain,
% 2.44/1.95 (succ(s86, s87) <=> succ(s86, s87)),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5923,axiom,(succ(s86, s87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound87')).
% 2.44/1.95 tff(5924,plain,
% 2.44/1.95 (succ(s86, s87)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5923, 5922])).
% 2.44/1.95 tff(5925,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5926,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s86, s87)) | trans(s86, s87))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5927,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s86, s87)) | trans(s86, s87)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5926, 5925])).
% 2.44/1.95 tff(5928,plain,
% 2.44/1.95 (trans(s86, s87)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5927, 5924, 21])).
% 2.44/1.95 tff(5929,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5930,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s86, s87)) | (~always3(s86)) | always3(s87))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5931,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s86, s87)) | (~always3(s86)) | always3(s87)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5930, 5929])).
% 2.44/1.95 tff(5932,plain,
% 2.44/1.95 ((~always3(s86)) | always3(s87)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5931, 38, 5928])).
% 2.44/1.95 tff(5933,plain,
% 2.44/1.95 (~always3(s86)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5932, 5921])).
% 2.44/1.95 tff(5934,plain,
% 2.44/1.95 (succ(s85, s86) <=> succ(s85, s86)),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5935,axiom,(succ(s85, s86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound86')).
% 2.44/1.95 tff(5936,plain,
% 2.44/1.95 (succ(s85, s86)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5935, 5934])).
% 2.44/1.95 tff(5937,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5938,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s85, s86)) | trans(s85, s86))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5939,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s85, s86)) | trans(s85, s86)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5938, 5937])).
% 2.44/1.95 tff(5940,plain,
% 2.44/1.95 (trans(s85, s86)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5939, 5936, 21])).
% 2.44/1.95 tff(5941,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5942,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s85, s86)) | (~always3(s85)) | always3(s86))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5943,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s85, s86)) | (~always3(s85)) | always3(s86)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5942, 5941])).
% 2.44/1.95 tff(5944,plain,
% 2.44/1.95 ((~always3(s85)) | always3(s86)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5943, 38, 5940])).
% 2.44/1.95 tff(5945,plain,
% 2.44/1.95 (~always3(s85)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5944, 5933])).
% 2.44/1.95 tff(5946,plain,
% 2.44/1.95 (succ(s84, s85) <=> succ(s84, s85)),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5947,axiom,(succ(s84, s85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound85')).
% 2.44/1.95 tff(5948,plain,
% 2.44/1.95 (succ(s84, s85)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5947, 5946])).
% 2.44/1.95 tff(5949,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5950,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s84, s85)) | trans(s84, s85))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5951,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s84, s85)) | trans(s84, s85)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5950, 5949])).
% 2.44/1.95 tff(5952,plain,
% 2.44/1.95 (trans(s84, s85)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5951, 5948, 21])).
% 2.44/1.95 tff(5953,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5954,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s84, s85)) | (~always3(s84)) | always3(s85))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5955,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s84, s85)) | (~always3(s84)) | always3(s85)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5954, 5953])).
% 2.44/1.95 tff(5956,plain,
% 2.44/1.95 ((~always3(s84)) | always3(s85)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5955, 38, 5952])).
% 2.44/1.95 tff(5957,plain,
% 2.44/1.95 (~always3(s84)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5956, 5945])).
% 2.44/1.95 tff(5958,plain,
% 2.44/1.95 (succ(s83, s84) <=> succ(s83, s84)),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5959,axiom,(succ(s83, s84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound84')).
% 2.44/1.95 tff(5960,plain,
% 2.44/1.95 (succ(s83, s84)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5959, 5958])).
% 2.44/1.95 tff(5961,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5962,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s83, s84)) | trans(s83, s84))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5963,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s83, s84)) | trans(s83, s84)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5962, 5961])).
% 2.44/1.95 tff(5964,plain,
% 2.44/1.95 (trans(s83, s84)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5963, 5960, 21])).
% 2.44/1.95 tff(5965,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5966,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s83, s84)) | (~always3(s83)) | always3(s84))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5967,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s83, s84)) | (~always3(s83)) | always3(s84)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5966, 5965])).
% 2.44/1.95 tff(5968,plain,
% 2.44/1.95 ((~always3(s83)) | always3(s84)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5967, 38, 5964])).
% 2.44/1.95 tff(5969,plain,
% 2.44/1.95 (~always3(s83)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5968, 5957])).
% 2.44/1.95 tff(5970,plain,
% 2.44/1.95 (succ(s82, s83) <=> succ(s82, s83)),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5971,axiom,(succ(s82, s83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound83')).
% 2.44/1.95 tff(5972,plain,
% 2.44/1.95 (succ(s82, s83)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5971, 5970])).
% 2.44/1.95 tff(5973,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5974,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s82, s83)) | trans(s82, s83))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5975,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s82, s83)) | trans(s82, s83)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5974, 5973])).
% 2.44/1.95 tff(5976,plain,
% 2.44/1.95 (trans(s82, s83)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5975, 5972, 21])).
% 2.44/1.95 tff(5977,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5978,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s82, s83)) | (~always3(s82)) | always3(s83))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5979,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s82, s83)) | (~always3(s82)) | always3(s83)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5978, 5977])).
% 2.44/1.95 tff(5980,plain,
% 2.44/1.95 ((~always3(s82)) | always3(s83)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5979, 38, 5976])).
% 2.44/1.95 tff(5981,plain,
% 2.44/1.95 (~always3(s82)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5980, 5969])).
% 2.44/1.95 tff(5982,plain,
% 2.44/1.95 (succ(s81, s82) <=> succ(s81, s82)),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5983,axiom,(succ(s81, s82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound82')).
% 2.44/1.95 tff(5984,plain,
% 2.44/1.95 (succ(s81, s82)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5983, 5982])).
% 2.44/1.95 tff(5985,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5986,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s81, s82)) | trans(s81, s82))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5987,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s81, s82)) | trans(s81, s82)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5986, 5985])).
% 2.44/1.95 tff(5988,plain,
% 2.44/1.95 (trans(s81, s82)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5987, 5984, 21])).
% 2.44/1.95 tff(5989,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5990,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s81, s82)) | (~always3(s81)) | always3(s82))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5991,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s81, s82)) | (~always3(s81)) | always3(s82)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5990, 5989])).
% 2.44/1.95 tff(5992,plain,
% 2.44/1.95 ((~always3(s81)) | always3(s82)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5991, 38, 5988])).
% 2.44/1.95 tff(5993,plain,
% 2.44/1.95 (~always3(s81)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5992, 5981])).
% 2.44/1.95 tff(5994,plain,
% 2.44/1.95 (succ(s80, s81) <=> succ(s80, s81)),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5995,axiom,(succ(s80, s81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound81')).
% 2.44/1.95 tff(5996,plain,
% 2.44/1.95 (succ(s80, s81)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5995, 5994])).
% 2.44/1.95 tff(5997,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(5998,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s80, s81)) | trans(s80, s81))),
% 2.44/1.95 inference(quant_inst,[status(thm)],[])).
% 2.44/1.95 tff(5999,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s80, s81)) | trans(s80, s81)),
% 2.44/1.95 inference(modus_ponens,[status(thm)],[5998, 5997])).
% 2.44/1.95 tff(6000,plain,
% 2.44/1.95 (trans(s80, s81)),
% 2.44/1.95 inference(unit_resolution,[status(thm)],[5999, 5996, 21])).
% 2.44/1.95 tff(6001,plain,
% 2.44/1.95 (((~![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))),
% 2.44/1.95 inference(rewrite,[status(thm)],[])).
% 2.44/1.95 tff(6002,plain,
% 2.44/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s80, s81)) | (~always3(s80)) | always3(s81))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6003,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s80, s81)) | (~always3(s80)) | always3(s81)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6002, 6001])).
% 2.44/1.96 tff(6004,plain,
% 2.44/1.96 ((~always3(s80)) | always3(s81)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6003, 38, 6000])).
% 2.44/1.96 tff(6005,plain,
% 2.44/1.96 (~always3(s80)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6004, 5993])).
% 2.44/1.96 tff(6006,plain,
% 2.44/1.96 (succ(s79, s80) <=> succ(s79, s80)),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6007,axiom,(succ(s79, s80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound80')).
% 2.44/1.96 tff(6008,plain,
% 2.44/1.96 (succ(s79, s80)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6007, 6006])).
% 2.44/1.96 tff(6009,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6010,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s79, s80)) | trans(s79, s80))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6011,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s79, s80)) | trans(s79, s80)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6010, 6009])).
% 2.44/1.96 tff(6012,plain,
% 2.44/1.96 (trans(s79, s80)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6011, 6008, 21])).
% 2.44/1.96 tff(6013,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6014,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s79, s80)) | (~always3(s79)) | always3(s80))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6015,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s79, s80)) | (~always3(s79)) | always3(s80)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6014, 6013])).
% 2.44/1.96 tff(6016,plain,
% 2.44/1.96 ((~always3(s79)) | always3(s80)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6015, 38, 6012])).
% 2.44/1.96 tff(6017,plain,
% 2.44/1.96 (~always3(s79)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6016, 6005])).
% 2.44/1.96 tff(6018,plain,
% 2.44/1.96 (succ(s78, s79) <=> succ(s78, s79)),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6019,axiom,(succ(s78, s79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound79')).
% 2.44/1.96 tff(6020,plain,
% 2.44/1.96 (succ(s78, s79)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6019, 6018])).
% 2.44/1.96 tff(6021,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6022,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s78, s79)) | trans(s78, s79))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6023,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s78, s79)) | trans(s78, s79)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6022, 6021])).
% 2.44/1.96 tff(6024,plain,
% 2.44/1.96 (trans(s78, s79)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6023, 6020, 21])).
% 2.44/1.96 tff(6025,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6026,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s78, s79)) | (~always3(s78)) | always3(s79))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6027,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s78, s79)) | (~always3(s78)) | always3(s79)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6026, 6025])).
% 2.44/1.96 tff(6028,plain,
% 2.44/1.96 ((~always3(s78)) | always3(s79)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6027, 38, 6024])).
% 2.44/1.96 tff(6029,plain,
% 2.44/1.96 (~always3(s78)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6028, 6017])).
% 2.44/1.96 tff(6030,plain,
% 2.44/1.96 (succ(s77, s78) <=> succ(s77, s78)),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6031,axiom,(succ(s77, s78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound78')).
% 2.44/1.96 tff(6032,plain,
% 2.44/1.96 (succ(s77, s78)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6031, 6030])).
% 2.44/1.96 tff(6033,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6034,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s77, s78)) | trans(s77, s78))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6035,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s77, s78)) | trans(s77, s78)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6034, 6033])).
% 2.44/1.96 tff(6036,plain,
% 2.44/1.96 (trans(s77, s78)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6035, 6032, 21])).
% 2.44/1.96 tff(6037,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6038,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s77, s78)) | (~always3(s77)) | always3(s78))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6039,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s77, s78)) | (~always3(s77)) | always3(s78)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6038, 6037])).
% 2.44/1.96 tff(6040,plain,
% 2.44/1.96 ((~always3(s77)) | always3(s78)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6039, 38, 6036])).
% 2.44/1.96 tff(6041,plain,
% 2.44/1.96 (~always3(s77)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6040, 6029])).
% 2.44/1.96 tff(6042,plain,
% 2.44/1.96 (succ(s76, s77) <=> succ(s76, s77)),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6043,axiom,(succ(s76, s77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound77')).
% 2.44/1.96 tff(6044,plain,
% 2.44/1.96 (succ(s76, s77)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6043, 6042])).
% 2.44/1.96 tff(6045,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6046,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s76, s77)) | trans(s76, s77))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6047,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s76, s77)) | trans(s76, s77)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6046, 6045])).
% 2.44/1.96 tff(6048,plain,
% 2.44/1.96 (trans(s76, s77)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6047, 6044, 21])).
% 2.44/1.96 tff(6049,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6050,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s76, s77)) | (~always3(s76)) | always3(s77))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6051,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s76, s77)) | (~always3(s76)) | always3(s77)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6050, 6049])).
% 2.44/1.96 tff(6052,plain,
% 2.44/1.96 ((~always3(s76)) | always3(s77)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6051, 38, 6048])).
% 2.44/1.96 tff(6053,plain,
% 2.44/1.96 (~always3(s76)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6052, 6041])).
% 2.44/1.96 tff(6054,plain,
% 2.44/1.96 (succ(s75, s76) <=> succ(s75, s76)),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6055,axiom,(succ(s75, s76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound76')).
% 2.44/1.96 tff(6056,plain,
% 2.44/1.96 (succ(s75, s76)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6055, 6054])).
% 2.44/1.96 tff(6057,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6058,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s75, s76)) | trans(s75, s76))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6059,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s75, s76)) | trans(s75, s76)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6058, 6057])).
% 2.44/1.96 tff(6060,plain,
% 2.44/1.96 (trans(s75, s76)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6059, 6056, 21])).
% 2.44/1.96 tff(6061,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6062,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s75, s76)) | (~always3(s75)) | always3(s76))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6063,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s75, s76)) | (~always3(s75)) | always3(s76)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6062, 6061])).
% 2.44/1.96 tff(6064,plain,
% 2.44/1.96 ((~always3(s75)) | always3(s76)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6063, 38, 6060])).
% 2.44/1.96 tff(6065,plain,
% 2.44/1.96 (~always3(s75)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6064, 6053])).
% 2.44/1.96 tff(6066,plain,
% 2.44/1.96 (succ(s74, s75) <=> succ(s74, s75)),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6067,axiom,(succ(s74, s75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound75')).
% 2.44/1.96 tff(6068,plain,
% 2.44/1.96 (succ(s74, s75)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6067, 6066])).
% 2.44/1.96 tff(6069,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6070,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s74, s75)) | trans(s74, s75))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6071,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s74, s75)) | trans(s74, s75)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6070, 6069])).
% 2.44/1.96 tff(6072,plain,
% 2.44/1.96 (trans(s74, s75)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6071, 6068, 21])).
% 2.44/1.96 tff(6073,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6074,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s74, s75)) | (~always3(s74)) | always3(s75))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6075,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s74, s75)) | (~always3(s74)) | always3(s75)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6074, 6073])).
% 2.44/1.96 tff(6076,plain,
% 2.44/1.96 ((~always3(s74)) | always3(s75)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6075, 38, 6072])).
% 2.44/1.96 tff(6077,plain,
% 2.44/1.96 (~always3(s74)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6076, 6065])).
% 2.44/1.96 tff(6078,plain,
% 2.44/1.96 (succ(s73, s74) <=> succ(s73, s74)),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6079,axiom,(succ(s73, s74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound74')).
% 2.44/1.96 tff(6080,plain,
% 2.44/1.96 (succ(s73, s74)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6079, 6078])).
% 2.44/1.96 tff(6081,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6082,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s73, s74)) | trans(s73, s74))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6083,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s73, s74)) | trans(s73, s74)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6082, 6081])).
% 2.44/1.96 tff(6084,plain,
% 2.44/1.96 (trans(s73, s74)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6083, 6080, 21])).
% 2.44/1.96 tff(6085,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6086,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s73, s74)) | (~always3(s73)) | always3(s74))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6087,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s73, s74)) | (~always3(s73)) | always3(s74)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6086, 6085])).
% 2.44/1.96 tff(6088,plain,
% 2.44/1.96 ((~always3(s73)) | always3(s74)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6087, 38, 6084])).
% 2.44/1.96 tff(6089,plain,
% 2.44/1.96 (~always3(s73)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6088, 6077])).
% 2.44/1.96 tff(6090,plain,
% 2.44/1.96 (succ(s72, s73) <=> succ(s72, s73)),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6091,axiom,(succ(s72, s73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound73')).
% 2.44/1.96 tff(6092,plain,
% 2.44/1.96 (succ(s72, s73)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6091, 6090])).
% 2.44/1.96 tff(6093,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6094,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s72, s73)) | trans(s72, s73))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6095,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s72, s73)) | trans(s72, s73)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6094, 6093])).
% 2.44/1.96 tff(6096,plain,
% 2.44/1.96 (trans(s72, s73)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6095, 6092, 21])).
% 2.44/1.96 tff(6097,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6098,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s72, s73)) | (~always3(s72)) | always3(s73))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6099,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s72, s73)) | (~always3(s72)) | always3(s73)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6098, 6097])).
% 2.44/1.96 tff(6100,plain,
% 2.44/1.96 ((~always3(s72)) | always3(s73)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6099, 38, 6096])).
% 2.44/1.96 tff(6101,plain,
% 2.44/1.96 (~always3(s72)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6100, 6089])).
% 2.44/1.96 tff(6102,plain,
% 2.44/1.96 (succ(s71, s72) <=> succ(s71, s72)),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6103,axiom,(succ(s71, s72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound72')).
% 2.44/1.96 tff(6104,plain,
% 2.44/1.96 (succ(s71, s72)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6103, 6102])).
% 2.44/1.96 tff(6105,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6106,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s71, s72)) | trans(s71, s72))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6107,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s71, s72)) | trans(s71, s72)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6106, 6105])).
% 2.44/1.96 tff(6108,plain,
% 2.44/1.96 (trans(s71, s72)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6107, 6104, 21])).
% 2.44/1.96 tff(6109,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6110,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s71, s72)) | (~always3(s71)) | always3(s72))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6111,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s71, s72)) | (~always3(s71)) | always3(s72)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6110, 6109])).
% 2.44/1.96 tff(6112,plain,
% 2.44/1.96 ((~always3(s71)) | always3(s72)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6111, 38, 6108])).
% 2.44/1.96 tff(6113,plain,
% 2.44/1.96 (~always3(s71)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6112, 6101])).
% 2.44/1.96 tff(6114,plain,
% 2.44/1.96 (succ(s70, s71) <=> succ(s70, s71)),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6115,axiom,(succ(s70, s71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound71')).
% 2.44/1.96 tff(6116,plain,
% 2.44/1.96 (succ(s70, s71)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6115, 6114])).
% 2.44/1.96 tff(6117,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6118,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s70, s71)) | trans(s70, s71))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6119,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s70, s71)) | trans(s70, s71)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6118, 6117])).
% 2.44/1.96 tff(6120,plain,
% 2.44/1.96 (trans(s70, s71)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6119, 6116, 21])).
% 2.44/1.96 tff(6121,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6122,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s70, s71)) | (~always3(s70)) | always3(s71))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6123,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s70, s71)) | (~always3(s70)) | always3(s71)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6122, 6121])).
% 2.44/1.96 tff(6124,plain,
% 2.44/1.96 ((~always3(s70)) | always3(s71)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6123, 38, 6120])).
% 2.44/1.96 tff(6125,plain,
% 2.44/1.96 (~always3(s70)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6124, 6113])).
% 2.44/1.96 tff(6126,plain,
% 2.44/1.96 (succ(s69, s70) <=> succ(s69, s70)),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6127,axiom,(succ(s69, s70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound70')).
% 2.44/1.96 tff(6128,plain,
% 2.44/1.96 (succ(s69, s70)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6127, 6126])).
% 2.44/1.96 tff(6129,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6130,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s69, s70)) | trans(s69, s70))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6131,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s69, s70)) | trans(s69, s70)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6130, 6129])).
% 2.44/1.96 tff(6132,plain,
% 2.44/1.96 (trans(s69, s70)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6131, 6128, 21])).
% 2.44/1.96 tff(6133,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6134,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s69, s70)) | (~always3(s69)) | always3(s70))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6135,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s69, s70)) | (~always3(s69)) | always3(s70)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6134, 6133])).
% 2.44/1.96 tff(6136,plain,
% 2.44/1.96 ((~always3(s69)) | always3(s70)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6135, 38, 6132])).
% 2.44/1.96 tff(6137,plain,
% 2.44/1.96 (~always3(s69)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6136, 6125])).
% 2.44/1.96 tff(6138,plain,
% 2.44/1.96 (succ(s68, s69) <=> succ(s68, s69)),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6139,axiom,(succ(s68, s69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound69')).
% 2.44/1.96 tff(6140,plain,
% 2.44/1.96 (succ(s68, s69)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6139, 6138])).
% 2.44/1.96 tff(6141,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6142,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s68, s69)) | trans(s68, s69))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6143,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s68, s69)) | trans(s68, s69)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6142, 6141])).
% 2.44/1.96 tff(6144,plain,
% 2.44/1.96 (trans(s68, s69)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6143, 6140, 21])).
% 2.44/1.96 tff(6145,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6146,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s68, s69)) | (~always3(s68)) | always3(s69))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6147,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s68, s69)) | (~always3(s68)) | always3(s69)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6146, 6145])).
% 2.44/1.96 tff(6148,plain,
% 2.44/1.96 ((~always3(s68)) | always3(s69)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6147, 38, 6144])).
% 2.44/1.96 tff(6149,plain,
% 2.44/1.96 (~always3(s68)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6148, 6137])).
% 2.44/1.96 tff(6150,plain,
% 2.44/1.96 (succ(s67, s68) <=> succ(s67, s68)),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6151,axiom,(succ(s67, s68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound68')).
% 2.44/1.96 tff(6152,plain,
% 2.44/1.96 (succ(s67, s68)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6151, 6150])).
% 2.44/1.96 tff(6153,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6154,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s67, s68)) | trans(s67, s68))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6155,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s67, s68)) | trans(s67, s68)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6154, 6153])).
% 2.44/1.96 tff(6156,plain,
% 2.44/1.96 (trans(s67, s68)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6155, 6152, 21])).
% 2.44/1.96 tff(6157,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6158,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s67, s68)) | (~always3(s67)) | always3(s68))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6159,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s67, s68)) | (~always3(s67)) | always3(s68)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6158, 6157])).
% 2.44/1.96 tff(6160,plain,
% 2.44/1.96 ((~always3(s67)) | always3(s68)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6159, 38, 6156])).
% 2.44/1.96 tff(6161,plain,
% 2.44/1.96 (~always3(s67)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6160, 6149])).
% 2.44/1.96 tff(6162,plain,
% 2.44/1.96 (succ(s66, s67) <=> succ(s66, s67)),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6163,axiom,(succ(s66, s67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound67')).
% 2.44/1.96 tff(6164,plain,
% 2.44/1.96 (succ(s66, s67)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6163, 6162])).
% 2.44/1.96 tff(6165,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6166,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s66, s67)) | trans(s66, s67))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6167,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s66, s67)) | trans(s66, s67)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6166, 6165])).
% 2.44/1.96 tff(6168,plain,
% 2.44/1.96 (trans(s66, s67)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6167, 6164, 21])).
% 2.44/1.96 tff(6169,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6170,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s66, s67)) | (~always3(s66)) | always3(s67))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6171,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s66, s67)) | (~always3(s66)) | always3(s67)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6170, 6169])).
% 2.44/1.96 tff(6172,plain,
% 2.44/1.96 ((~always3(s66)) | always3(s67)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6171, 38, 6168])).
% 2.44/1.96 tff(6173,plain,
% 2.44/1.96 (~always3(s66)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6172, 6161])).
% 2.44/1.96 tff(6174,plain,
% 2.44/1.96 (succ(s65, s66) <=> succ(s65, s66)),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6175,axiom,(succ(s65, s66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound66')).
% 2.44/1.96 tff(6176,plain,
% 2.44/1.96 (succ(s65, s66)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6175, 6174])).
% 2.44/1.96 tff(6177,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6178,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s65, s66)) | trans(s65, s66))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6179,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s65, s66)) | trans(s65, s66)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6178, 6177])).
% 2.44/1.96 tff(6180,plain,
% 2.44/1.96 (trans(s65, s66)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6179, 6176, 21])).
% 2.44/1.96 tff(6181,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6182,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s65, s66)) | (~always3(s65)) | always3(s66))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6183,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s65, s66)) | (~always3(s65)) | always3(s66)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6182, 6181])).
% 2.44/1.96 tff(6184,plain,
% 2.44/1.96 ((~always3(s65)) | always3(s66)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6183, 38, 6180])).
% 2.44/1.96 tff(6185,plain,
% 2.44/1.96 (~always3(s65)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6184, 6173])).
% 2.44/1.96 tff(6186,plain,
% 2.44/1.96 (succ(s64, s65) <=> succ(s64, s65)),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6187,axiom,(succ(s64, s65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound65')).
% 2.44/1.96 tff(6188,plain,
% 2.44/1.96 (succ(s64, s65)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6187, 6186])).
% 2.44/1.96 tff(6189,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6190,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s64, s65)) | trans(s64, s65))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6191,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s64, s65)) | trans(s64, s65)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6190, 6189])).
% 2.44/1.96 tff(6192,plain,
% 2.44/1.96 (trans(s64, s65)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6191, 6188, 21])).
% 2.44/1.96 tff(6193,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6194,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s64, s65)) | (~always3(s64)) | always3(s65))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6195,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s64, s65)) | (~always3(s64)) | always3(s65)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6194, 6193])).
% 2.44/1.96 tff(6196,plain,
% 2.44/1.96 ((~always3(s64)) | always3(s65)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6195, 38, 6192])).
% 2.44/1.96 tff(6197,plain,
% 2.44/1.96 (~always3(s64)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6196, 6185])).
% 2.44/1.96 tff(6198,plain,
% 2.44/1.96 (succ(s63, s64) <=> succ(s63, s64)),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6199,axiom,(succ(s63, s64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound64')).
% 2.44/1.96 tff(6200,plain,
% 2.44/1.96 (succ(s63, s64)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6199, 6198])).
% 2.44/1.96 tff(6201,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6202,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6203,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6202, 6201])).
% 2.44/1.96 tff(6204,plain,
% 2.44/1.96 (trans(s63, s64)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6203, 6200, 21])).
% 2.44/1.96 tff(6205,plain,
% 2.44/1.96 (((~![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))),
% 2.44/1.96 inference(rewrite,[status(thm)],[])).
% 2.44/1.96 tff(6206,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s63, s64)) | (~always3(s63)) | always3(s64))),
% 2.44/1.96 inference(quant_inst,[status(thm)],[])).
% 2.44/1.96 tff(6207,plain,
% 2.44/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s63, s64)) | (~always3(s63)) | always3(s64)),
% 2.44/1.96 inference(modus_ponens,[status(thm)],[6206, 6205])).
% 2.44/1.96 tff(6208,plain,
% 2.44/1.96 ((~always3(s63)) | always3(s64)),
% 2.44/1.96 inference(unit_resolution,[status(thm)],[6207, 38, 6204])).
% 2.44/1.97 tff(6209,plain,
% 2.44/1.97 (~always3(s63)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6208, 6197])).
% 2.44/1.97 tff(6210,plain,
% 2.44/1.97 (succ(s62, s63) <=> succ(s62, s63)),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6211,axiom,(succ(s62, s63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound63')).
% 2.44/1.97 tff(6212,plain,
% 2.44/1.97 (succ(s62, s63)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6211, 6210])).
% 2.44/1.97 tff(6213,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6214,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6215,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6214, 6213])).
% 2.44/1.97 tff(6216,plain,
% 2.44/1.97 (trans(s62, s63)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6215, 6212, 21])).
% 2.44/1.97 tff(6217,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6218,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s62, s63)) | (~always3(s62)) | always3(s63))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6219,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s62, s63)) | (~always3(s62)) | always3(s63)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6218, 6217])).
% 2.44/1.97 tff(6220,plain,
% 2.44/1.97 ((~always3(s62)) | always3(s63)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6219, 38, 6216])).
% 2.44/1.97 tff(6221,plain,
% 2.44/1.97 (~always3(s62)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6220, 6209])).
% 2.44/1.97 tff(6222,plain,
% 2.44/1.97 (succ(s61, s62) <=> succ(s61, s62)),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6223,axiom,(succ(s61, s62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound62')).
% 2.44/1.97 tff(6224,plain,
% 2.44/1.97 (succ(s61, s62)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6223, 6222])).
% 2.44/1.97 tff(6225,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6226,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6227,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6226, 6225])).
% 2.44/1.97 tff(6228,plain,
% 2.44/1.97 (trans(s61, s62)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6227, 6224, 21])).
% 2.44/1.97 tff(6229,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6230,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s61, s62)) | (~always3(s61)) | always3(s62))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6231,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s61, s62)) | (~always3(s61)) | always3(s62)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6230, 6229])).
% 2.44/1.97 tff(6232,plain,
% 2.44/1.97 ((~always3(s61)) | always3(s62)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6231, 38, 6228])).
% 2.44/1.97 tff(6233,plain,
% 2.44/1.97 (~always3(s61)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6232, 6221])).
% 2.44/1.97 tff(6234,plain,
% 2.44/1.97 (succ(s60, s61) <=> succ(s60, s61)),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6235,axiom,(succ(s60, s61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound61')).
% 2.44/1.97 tff(6236,plain,
% 2.44/1.97 (succ(s60, s61)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6235, 6234])).
% 2.44/1.97 tff(6237,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6238,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6239,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6238, 6237])).
% 2.44/1.97 tff(6240,plain,
% 2.44/1.97 (trans(s60, s61)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6239, 6236, 21])).
% 2.44/1.97 tff(6241,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6242,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s60, s61)) | (~always3(s60)) | always3(s61))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6243,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s60, s61)) | (~always3(s60)) | always3(s61)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6242, 6241])).
% 2.44/1.97 tff(6244,plain,
% 2.44/1.97 ((~always3(s60)) | always3(s61)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6243, 38, 6240])).
% 2.44/1.97 tff(6245,plain,
% 2.44/1.97 (~always3(s60)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6244, 6233])).
% 2.44/1.97 tff(6246,plain,
% 2.44/1.97 (succ(s59, s60) <=> succ(s59, s60)),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6247,axiom,(succ(s59, s60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound60')).
% 2.44/1.97 tff(6248,plain,
% 2.44/1.97 (succ(s59, s60)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6247, 6246])).
% 2.44/1.97 tff(6249,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6250,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6251,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6250, 6249])).
% 2.44/1.97 tff(6252,plain,
% 2.44/1.97 (trans(s59, s60)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6251, 6248, 21])).
% 2.44/1.97 tff(6253,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6254,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s59, s60)) | (~always3(s59)) | always3(s60))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6255,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s59, s60)) | (~always3(s59)) | always3(s60)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6254, 6253])).
% 2.44/1.97 tff(6256,plain,
% 2.44/1.97 ((~always3(s59)) | always3(s60)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6255, 38, 6252])).
% 2.44/1.97 tff(6257,plain,
% 2.44/1.97 (~always3(s59)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6256, 6245])).
% 2.44/1.97 tff(6258,plain,
% 2.44/1.97 (succ(s58, s59) <=> succ(s58, s59)),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6259,axiom,(succ(s58, s59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound59')).
% 2.44/1.97 tff(6260,plain,
% 2.44/1.97 (succ(s58, s59)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6259, 6258])).
% 2.44/1.97 tff(6261,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6262,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6263,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6262, 6261])).
% 2.44/1.97 tff(6264,plain,
% 2.44/1.97 (trans(s58, s59)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6263, 6260, 21])).
% 2.44/1.97 tff(6265,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6266,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s58, s59)) | (~always3(s58)) | always3(s59))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6267,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s58, s59)) | (~always3(s58)) | always3(s59)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6266, 6265])).
% 2.44/1.97 tff(6268,plain,
% 2.44/1.97 ((~always3(s58)) | always3(s59)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6267, 38, 6264])).
% 2.44/1.97 tff(6269,plain,
% 2.44/1.97 (~always3(s58)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6268, 6257])).
% 2.44/1.97 tff(6270,plain,
% 2.44/1.97 (succ(s57, s58) <=> succ(s57, s58)),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6271,axiom,(succ(s57, s58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound58')).
% 2.44/1.97 tff(6272,plain,
% 2.44/1.97 (succ(s57, s58)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6271, 6270])).
% 2.44/1.97 tff(6273,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6274,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6275,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6274, 6273])).
% 2.44/1.97 tff(6276,plain,
% 2.44/1.97 (trans(s57, s58)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6275, 6272, 21])).
% 2.44/1.97 tff(6277,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6278,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s57, s58)) | (~always3(s57)) | always3(s58))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6279,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s57, s58)) | (~always3(s57)) | always3(s58)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6278, 6277])).
% 2.44/1.97 tff(6280,plain,
% 2.44/1.97 ((~always3(s57)) | always3(s58)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6279, 38, 6276])).
% 2.44/1.97 tff(6281,plain,
% 2.44/1.97 (~always3(s57)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6280, 6269])).
% 2.44/1.97 tff(6282,plain,
% 2.44/1.97 (succ(s56, s57) <=> succ(s56, s57)),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6283,axiom,(succ(s56, s57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound57')).
% 2.44/1.97 tff(6284,plain,
% 2.44/1.97 (succ(s56, s57)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6283, 6282])).
% 2.44/1.97 tff(6285,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6286,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6287,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6286, 6285])).
% 2.44/1.97 tff(6288,plain,
% 2.44/1.97 (trans(s56, s57)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6287, 6284, 21])).
% 2.44/1.97 tff(6289,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6290,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s56, s57)) | (~always3(s56)) | always3(s57))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6291,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s56, s57)) | (~always3(s56)) | always3(s57)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6290, 6289])).
% 2.44/1.97 tff(6292,plain,
% 2.44/1.97 ((~always3(s56)) | always3(s57)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6291, 38, 6288])).
% 2.44/1.97 tff(6293,plain,
% 2.44/1.97 (~always3(s56)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6292, 6281])).
% 2.44/1.97 tff(6294,plain,
% 2.44/1.97 (succ(s55, s56) <=> succ(s55, s56)),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6295,axiom,(succ(s55, s56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound56')).
% 2.44/1.97 tff(6296,plain,
% 2.44/1.97 (succ(s55, s56)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6295, 6294])).
% 2.44/1.97 tff(6297,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6298,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6299,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6298, 6297])).
% 2.44/1.97 tff(6300,plain,
% 2.44/1.97 (trans(s55, s56)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6299, 6296, 21])).
% 2.44/1.97 tff(6301,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6302,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s55, s56)) | (~always3(s55)) | always3(s56))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6303,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s55, s56)) | (~always3(s55)) | always3(s56)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6302, 6301])).
% 2.44/1.97 tff(6304,plain,
% 2.44/1.97 ((~always3(s55)) | always3(s56)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6303, 38, 6300])).
% 2.44/1.97 tff(6305,plain,
% 2.44/1.97 (~always3(s55)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6304, 6293])).
% 2.44/1.97 tff(6306,plain,
% 2.44/1.97 (succ(s54, s55) <=> succ(s54, s55)),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6307,axiom,(succ(s54, s55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound55')).
% 2.44/1.97 tff(6308,plain,
% 2.44/1.97 (succ(s54, s55)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6307, 6306])).
% 2.44/1.97 tff(6309,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6310,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6311,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6310, 6309])).
% 2.44/1.97 tff(6312,plain,
% 2.44/1.97 (trans(s54, s55)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6311, 6308, 21])).
% 2.44/1.97 tff(6313,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6314,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s54, s55)) | (~always3(s54)) | always3(s55))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6315,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s54, s55)) | (~always3(s54)) | always3(s55)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6314, 6313])).
% 2.44/1.97 tff(6316,plain,
% 2.44/1.97 ((~always3(s54)) | always3(s55)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6315, 38, 6312])).
% 2.44/1.97 tff(6317,plain,
% 2.44/1.97 (~always3(s54)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6316, 6305])).
% 2.44/1.97 tff(6318,plain,
% 2.44/1.97 (succ(s53, s54) <=> succ(s53, s54)),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6319,axiom,(succ(s53, s54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound54')).
% 2.44/1.97 tff(6320,plain,
% 2.44/1.97 (succ(s53, s54)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6319, 6318])).
% 2.44/1.97 tff(6321,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6322,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6323,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6322, 6321])).
% 2.44/1.97 tff(6324,plain,
% 2.44/1.97 (trans(s53, s54)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6323, 6320, 21])).
% 2.44/1.97 tff(6325,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6326,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s53, s54)) | (~always3(s53)) | always3(s54))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6327,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s53, s54)) | (~always3(s53)) | always3(s54)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6326, 6325])).
% 2.44/1.97 tff(6328,plain,
% 2.44/1.97 ((~always3(s53)) | always3(s54)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6327, 38, 6324])).
% 2.44/1.97 tff(6329,plain,
% 2.44/1.97 (~always3(s53)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6328, 6317])).
% 2.44/1.97 tff(6330,plain,
% 2.44/1.97 (succ(s52, s53) <=> succ(s52, s53)),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6331,axiom,(succ(s52, s53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound53')).
% 2.44/1.97 tff(6332,plain,
% 2.44/1.97 (succ(s52, s53)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6331, 6330])).
% 2.44/1.97 tff(6333,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6334,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6335,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6334, 6333])).
% 2.44/1.97 tff(6336,plain,
% 2.44/1.97 (trans(s52, s53)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6335, 6332, 21])).
% 2.44/1.97 tff(6337,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6338,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s52, s53)) | (~always3(s52)) | always3(s53))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6339,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s52, s53)) | (~always3(s52)) | always3(s53)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6338, 6337])).
% 2.44/1.97 tff(6340,plain,
% 2.44/1.97 ((~always3(s52)) | always3(s53)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6339, 38, 6336])).
% 2.44/1.97 tff(6341,plain,
% 2.44/1.97 (~always3(s52)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6340, 6329])).
% 2.44/1.97 tff(6342,plain,
% 2.44/1.97 (succ(s51, s52) <=> succ(s51, s52)),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6343,axiom,(succ(s51, s52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound52')).
% 2.44/1.97 tff(6344,plain,
% 2.44/1.97 (succ(s51, s52)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6343, 6342])).
% 2.44/1.97 tff(6345,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6346,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6347,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6346, 6345])).
% 2.44/1.97 tff(6348,plain,
% 2.44/1.97 (trans(s51, s52)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6347, 6344, 21])).
% 2.44/1.97 tff(6349,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6350,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s51, s52)) | (~always3(s51)) | always3(s52))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6351,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s51, s52)) | (~always3(s51)) | always3(s52)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6350, 6349])).
% 2.44/1.97 tff(6352,plain,
% 2.44/1.97 ((~always3(s51)) | always3(s52)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6351, 38, 6348])).
% 2.44/1.97 tff(6353,plain,
% 2.44/1.97 (~always3(s51)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6352, 6341])).
% 2.44/1.97 tff(6354,plain,
% 2.44/1.97 (succ(s50, s51) <=> succ(s50, s51)),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6355,axiom,(succ(s50, s51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound51')).
% 2.44/1.97 tff(6356,plain,
% 2.44/1.97 (succ(s50, s51)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6355, 6354])).
% 2.44/1.97 tff(6357,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6358,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6359,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51)),
% 2.44/1.97 inference(modus_ponens,[status(thm)],[6358, 6357])).
% 2.44/1.97 tff(6360,plain,
% 2.44/1.97 (trans(s50, s51)),
% 2.44/1.97 inference(unit_resolution,[status(thm)],[6359, 6356, 21])).
% 2.44/1.97 tff(6361,plain,
% 2.44/1.97 (((~![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))),
% 2.44/1.97 inference(rewrite,[status(thm)],[])).
% 2.44/1.97 tff(6362,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s50, s51)) | (~always3(s50)) | always3(s51))),
% 2.44/1.97 inference(quant_inst,[status(thm)],[])).
% 2.44/1.97 tff(6363,plain,
% 2.44/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s50, s51)) | (~always3(s50)) | always3(s51)),
% 2.50/1.97 inference(modus_ponens,[status(thm)],[6362, 6361])).
% 2.50/1.97 tff(6364,plain,
% 2.50/1.97 ((~always3(s50)) | always3(s51)),
% 2.50/1.97 inference(unit_resolution,[status(thm)],[6363, 38, 6360])).
% 2.50/1.97 tff(6365,plain,
% 2.50/1.97 (~always3(s50)),
% 2.50/1.97 inference(unit_resolution,[status(thm)],[6364, 6353])).
% 2.50/1.97 tff(6366,plain,
% 2.50/1.97 (succ(s49, s50) <=> succ(s49, s50)),
% 2.50/1.97 inference(rewrite,[status(thm)],[])).
% 2.50/1.97 tff(6367,axiom,(succ(s49, s50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound50')).
% 2.50/1.97 tff(6368,plain,
% 2.50/1.97 (succ(s49, s50)),
% 2.50/1.97 inference(modus_ponens,[status(thm)],[6367, 6366])).
% 2.50/1.97 tff(6369,plain,
% 2.50/1.97 (((~![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))),
% 2.50/1.97 inference(rewrite,[status(thm)],[])).
% 2.50/1.97 tff(6370,plain,
% 2.50/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))),
% 2.50/1.97 inference(quant_inst,[status(thm)],[])).
% 2.50/1.97 tff(6371,plain,
% 2.50/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50)),
% 2.50/1.97 inference(modus_ponens,[status(thm)],[6370, 6369])).
% 2.50/1.97 tff(6372,plain,
% 2.50/1.97 (trans(s49, s50)),
% 2.50/1.97 inference(unit_resolution,[status(thm)],[6371, 6368, 21])).
% 2.50/1.97 tff(6373,plain,
% 2.50/1.97 (((~![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))),
% 2.50/1.97 inference(rewrite,[status(thm)],[])).
% 2.50/1.97 tff(6374,plain,
% 2.50/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s50)) | (~always3(s49)) | always3(s50))),
% 2.50/1.97 inference(quant_inst,[status(thm)],[])).
% 2.50/1.97 tff(6375,plain,
% 2.50/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s49, s50)) | (~always3(s49)) | always3(s50)),
% 2.50/1.97 inference(modus_ponens,[status(thm)],[6374, 6373])).
% 2.50/1.97 tff(6376,plain,
% 2.50/1.97 ((~always3(s49)) | always3(s50)),
% 2.50/1.97 inference(unit_resolution,[status(thm)],[6375, 38, 6372])).
% 2.50/1.97 tff(6377,plain,
% 2.50/1.97 (~always3(s49)),
% 2.50/1.97 inference(unit_resolution,[status(thm)],[6376, 6365])).
% 2.50/1.97 tff(6378,plain,
% 2.50/1.97 (succ(s48, s49) <=> succ(s48, s49)),
% 2.50/1.97 inference(rewrite,[status(thm)],[])).
% 2.50/1.97 tff(6379,axiom,(succ(s48, s49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound49')).
% 2.50/1.97 tff(6380,plain,
% 2.50/1.97 (succ(s48, s49)),
% 2.50/1.97 inference(modus_ponens,[status(thm)],[6379, 6378])).
% 2.50/1.97 tff(6381,plain,
% 2.50/1.97 (((~![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))),
% 2.50/1.97 inference(rewrite,[status(thm)],[])).
% 2.50/1.97 tff(6382,plain,
% 2.50/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))),
% 2.50/1.97 inference(quant_inst,[status(thm)],[])).
% 2.50/1.97 tff(6383,plain,
% 2.50/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49)),
% 2.50/1.97 inference(modus_ponens,[status(thm)],[6382, 6381])).
% 2.50/1.97 tff(6384,plain,
% 2.50/1.97 (trans(s48, s49)),
% 2.50/1.97 inference(unit_resolution,[status(thm)],[6383, 6380, 21])).
% 2.50/1.97 tff(6385,plain,
% 2.50/1.97 (((~![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))),
% 2.50/1.97 inference(rewrite,[status(thm)],[])).
% 2.50/1.97 tff(6386,plain,
% 2.50/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s48, s49)) | (~always3(s48)) | always3(s49))),
% 2.50/1.97 inference(quant_inst,[status(thm)],[])).
% 2.50/1.97 tff(6387,plain,
% 2.50/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s48, s49)) | (~always3(s48)) | always3(s49)),
% 2.50/1.97 inference(modus_ponens,[status(thm)],[6386, 6385])).
% 2.50/1.97 tff(6388,plain,
% 2.50/1.97 ((~always3(s48)) | always3(s49)),
% 2.50/1.97 inference(unit_resolution,[status(thm)],[6387, 38, 6384])).
% 2.50/1.97 tff(6389,plain,
% 2.50/1.97 (~always3(s48)),
% 2.50/1.97 inference(unit_resolution,[status(thm)],[6388, 6377])).
% 2.50/1.97 tff(6390,plain,
% 2.50/1.97 (succ(s47, s48) <=> succ(s47, s48)),
% 2.50/1.97 inference(rewrite,[status(thm)],[])).
% 2.50/1.97 tff(6391,axiom,(succ(s47, s48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound48')).
% 2.50/1.97 tff(6392,plain,
% 2.50/1.97 (succ(s47, s48)),
% 2.50/1.97 inference(modus_ponens,[status(thm)],[6391, 6390])).
% 2.50/1.97 tff(6393,plain,
% 2.50/1.97 (((~![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))),
% 2.50/1.97 inference(rewrite,[status(thm)],[])).
% 2.50/1.97 tff(6394,plain,
% 2.50/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))),
% 2.50/1.97 inference(quant_inst,[status(thm)],[])).
% 2.50/1.97 tff(6395,plain,
% 2.50/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48)),
% 2.50/1.97 inference(modus_ponens,[status(thm)],[6394, 6393])).
% 2.50/1.97 tff(6396,plain,
% 2.50/1.97 (trans(s47, s48)),
% 2.50/1.97 inference(unit_resolution,[status(thm)],[6395, 6392, 21])).
% 2.50/1.97 tff(6397,plain,
% 2.50/1.97 (((~![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))),
% 2.50/1.97 inference(rewrite,[status(thm)],[])).
% 2.50/1.97 tff(6398,plain,
% 2.50/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s47, s48)) | (~always3(s47)) | always3(s48))),
% 2.50/1.97 inference(quant_inst,[status(thm)],[])).
% 2.50/1.97 tff(6399,plain,
% 2.50/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s47, s48)) | (~always3(s47)) | always3(s48)),
% 2.50/1.97 inference(modus_ponens,[status(thm)],[6398, 6397])).
% 2.50/1.97 tff(6400,plain,
% 2.50/1.97 ((~always3(s47)) | always3(s48)),
% 2.50/1.97 inference(unit_resolution,[status(thm)],[6399, 38, 6396])).
% 2.50/1.97 tff(6401,plain,
% 2.50/1.97 (~always3(s47)),
% 2.50/1.97 inference(unit_resolution,[status(thm)],[6400, 6389])).
% 2.50/1.97 tff(6402,plain,
% 2.50/1.97 (succ(s46, s47) <=> succ(s46, s47)),
% 2.50/1.97 inference(rewrite,[status(thm)],[])).
% 2.50/1.97 tff(6403,axiom,(succ(s46, s47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound47')).
% 2.50/1.97 tff(6404,plain,
% 2.50/1.97 (succ(s46, s47)),
% 2.50/1.97 inference(modus_ponens,[status(thm)],[6403, 6402])).
% 2.50/1.97 tff(6405,plain,
% 2.50/1.97 (((~![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))),
% 2.50/1.97 inference(rewrite,[status(thm)],[])).
% 2.50/1.97 tff(6406,plain,
% 2.50/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))),
% 2.50/1.97 inference(quant_inst,[status(thm)],[])).
% 2.50/1.97 tff(6407,plain,
% 2.50/1.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47)),
% 2.50/1.97 inference(modus_ponens,[status(thm)],[6406, 6405])).
% 2.50/1.97 tff(6408,plain,
% 2.50/1.97 (trans(s46, s47)),
% 2.50/1.97 inference(unit_resolution,[status(thm)],[6407, 6404, 21])).
% 2.50/1.97 tff(6409,plain,
% 2.50/1.97 (((~![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))),
% 2.50/1.97 inference(rewrite,[status(thm)],[])).
% 2.50/1.97 tff(6410,plain,
% 2.50/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s46, s47)) | (~always3(s46)) | always3(s47))),
% 2.50/1.97 inference(quant_inst,[status(thm)],[])).
% 2.50/1.97 tff(6411,plain,
% 2.50/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s46, s47)) | (~always3(s46)) | always3(s47)),
% 2.50/1.97 inference(modus_ponens,[status(thm)],[6410, 6409])).
% 2.50/1.97 tff(6412,plain,
% 2.50/1.97 ((~always3(s46)) | always3(s47)),
% 2.50/1.97 inference(unit_resolution,[status(thm)],[6411, 38, 6408])).
% 2.50/1.97 tff(6413,plain,
% 2.50/1.97 (~always3(s46)),
% 2.50/1.97 inference(unit_resolution,[status(thm)],[6412, 6401])).
% 2.50/1.97 tff(6414,plain,
% 2.50/1.97 (succ(s45, s46) <=> succ(s45, s46)),
% 2.50/1.97 inference(rewrite,[status(thm)],[])).
% 2.50/1.97 tff(6415,axiom,(succ(s45, s46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound46')).
% 2.50/1.97 tff(6416,plain,
% 2.50/1.97 (succ(s45, s46)),
% 2.50/1.97 inference(modus_ponens,[status(thm)],[6415, 6414])).
% 2.50/1.98 tff(6417,plain,
% 2.50/1.98 (((~![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))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6418,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6419,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46)),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6418, 6417])).
% 2.50/1.98 tff(6420,plain,
% 2.50/1.98 (trans(s45, s46)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6419, 6416, 21])).
% 2.50/1.98 tff(6421,plain,
% 2.50/1.98 (((~![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))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6422,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s45, s46)) | (~always3(s45)) | always3(s46))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6423,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s45, s46)) | (~always3(s45)) | always3(s46)),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6422, 6421])).
% 2.50/1.98 tff(6424,plain,
% 2.50/1.98 ((~always3(s45)) | always3(s46)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6423, 38, 6420])).
% 2.50/1.98 tff(6425,plain,
% 2.50/1.98 (~always3(s45)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6424, 6413])).
% 2.50/1.98 tff(6426,plain,
% 2.50/1.98 (succ(s44, s45) <=> succ(s44, s45)),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6427,axiom,(succ(s44, s45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound45')).
% 2.50/1.98 tff(6428,plain,
% 2.50/1.98 (succ(s44, s45)),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6427, 6426])).
% 2.50/1.98 tff(6429,plain,
% 2.50/1.98 (((~![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))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6430,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6431,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45)),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6430, 6429])).
% 2.50/1.98 tff(6432,plain,
% 2.50/1.98 (trans(s44, s45)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6431, 6428, 21])).
% 2.50/1.98 tff(6433,plain,
% 2.50/1.98 (((~![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))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6434,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s44, s45)) | (~always3(s44)) | always3(s45))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6435,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s44, s45)) | (~always3(s44)) | always3(s45)),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6434, 6433])).
% 2.50/1.98 tff(6436,plain,
% 2.50/1.98 ((~always3(s44)) | always3(s45)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6435, 38, 6432])).
% 2.50/1.98 tff(6437,plain,
% 2.50/1.98 (~always3(s44)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6436, 6425])).
% 2.50/1.98 tff(6438,plain,
% 2.50/1.98 (~always3(s43)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[81, 6437])).
% 2.50/1.98 tff(6439,plain,
% 2.50/1.98 (~always3(s42)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[93, 6438])).
% 2.50/1.98 tff(6440,plain,
% 2.50/1.98 (~always3(s41)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[105, 6439])).
% 2.50/1.98 tff(6441,plain,
% 2.50/1.98 (~always3(s40)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[137, 6440])).
% 2.50/1.98 tff(6442,plain,
% 2.50/1.98 (~always3(s39)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[3143, 6441])).
% 2.50/1.98 tff(6443,plain,
% 2.50/1.98 (~always3(s38)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[2699, 6442])).
% 2.50/1.98 tff(6444,plain,
% 2.50/1.98 (~node4(s38)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[2678, 113, 6443])).
% 2.50/1.98 tff(6445,plain,
% 2.50/1.98 (~always3(s37)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[2375, 6443])).
% 2.50/1.98 tff(6446,plain,
% 2.50/1.98 (~always3(s36)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[2387, 6445])).
% 2.50/1.98 tff(6447,plain,
% 2.50/1.98 (~always3(s35)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[2399, 6446])).
% 2.50/1.98 tff(6448,plain,
% 2.50/1.98 (~always3(s34)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[2411, 6447])).
% 2.50/1.98 tff(6449,plain,
% 2.50/1.98 (~always3(s33)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[2423, 6448])).
% 2.50/1.98 tff(6450,plain,
% 2.50/1.98 (~always3(s32)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[2435, 6449])).
% 2.50/1.98 tff(6451,plain,
% 2.50/1.98 (~always3(s31)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[2447, 6450])).
% 2.50/1.98 tff(6452,plain,
% 2.50/1.98 (~always3(s30)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[2326, 6451])).
% 2.50/1.98 tff(6453,plain,
% 2.50/1.98 (~always3(s29)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[2229, 6452])).
% 2.50/1.98 tff(6454,plain,
% 2.50/1.98 (~always3(s28)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[2173, 6453])).
% 2.50/1.98 tff(6455,plain,
% 2.50/1.98 (~always3(s27)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[2081, 6454])).
% 2.50/1.98 tff(6456,plain,
% 2.50/1.98 (~always3(s26)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[1993, 6455])).
% 2.50/1.98 tff(6457,plain,
% 2.50/1.98 (~always3(s25)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[1873, 6456])).
% 2.50/1.98 tff(6458,plain,
% 2.50/1.98 (~always3(s24)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[1771, 6457])).
% 2.50/1.98 tff(6459,plain,
% 2.50/1.98 (~always3(s23)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[1816, 6458])).
% 2.50/1.98 tff(6460,plain,
% 2.50/1.98 (~always3(s22)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[1557, 6459])).
% 2.50/1.98 tff(6461,plain,
% 2.50/1.98 (~always3(s21)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[1306, 6460])).
% 2.50/1.98 tff(6462,plain,
% 2.50/1.98 (~always3(s20)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[1351, 6461])).
% 2.50/1.98 tff(6463,plain,
% 2.50/1.98 (~always3(s19)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[1363, 6462])).
% 2.50/1.98 tff(6464,plain,
% 2.50/1.98 (~always3(s18)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[1379, 6463])).
% 2.50/1.98 tff(6465,plain,
% 2.50/1.98 (~always3(s17)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[1395, 6464])).
% 2.50/1.98 tff(6466,plain,
% 2.50/1.98 (~always3(s16)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[1407, 6465])).
% 2.50/1.98 tff(6467,plain,
% 2.50/1.98 (~always3(s15)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[654, 6466])).
% 2.50/1.98 tff(6468,plain,
% 2.50/1.98 (xuntil6(s15)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[642, 6467])).
% 2.50/1.98 tff(6469,plain,
% 2.50/1.98 (until5(s16)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[1292, 6468])).
% 2.50/1.98 tff(6470,plain,
% 2.50/1.98 (xuntil6(s37)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[2661, 6469, 6445])).
% 2.50/1.98 tff(6471,plain,
% 2.50/1.98 (until5(s38)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[2666, 6470])).
% 2.50/1.98 tff(6472,plain,
% 2.50/1.98 (xuntil6(s38) | node4(s38)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[2673, 225, 6471])).
% 2.50/1.98 tff(6473,plain,
% 2.50/1.98 (xuntil6(s38)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6472, 6444])).
% 2.50/1.98 tff(6474,plain,
% 2.50/1.98 (until5(s39)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[3122, 6473])).
% 2.50/1.98 tff(6475,assumption,(~always3(s103)), introduced(assumption)).
% 2.50/1.98 tff(6476,plain,
% 2.50/1.98 (~always3(s102)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[5740, 6475])).
% 2.50/1.98 tff(6477,plain,
% 2.50/1.98 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s102) | (~node4(s102)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s102) | (~node4(s102)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6478,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s102) | (~node4(s102)))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6479,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s102) | (~node4(s102))),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6478, 6477])).
% 2.50/1.98 tff(6480,plain,
% 2.50/1.98 (~node4(s102)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6479, 113, 6476])).
% 2.50/1.98 tff(6481,plain,
% 2.50/1.98 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s103) | (~node4(s103)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s103) | (~node4(s103)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6482,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s103) | (~node4(s103)))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6483,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s103) | (~node4(s103))),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6482, 6481])).
% 2.50/1.98 tff(6484,plain,
% 2.50/1.98 (~node4(s103)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6483, 113, 6475])).
% 2.50/1.98 tff(6485,assumption,(~xuntil6(s103)), introduced(assumption)).
% 2.50/1.98 tff(6486,plain,
% 2.50/1.98 (((~![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)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6487,plain,
% 2.50/1.98 ((node4(s103) | (~until5(s103)) | xuntil6(s103)) <=> (xuntil6(s103) | node4(s103) | (~until5(s103)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6488,plain,
% 2.50/1.98 (((~![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))))),
% 2.50/1.98 inference(monotonicity,[status(thm)],[6487])).
% 2.50/1.98 tff(6489,plain,
% 2.50/1.98 (((~![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)))),
% 2.50/1.98 inference(transitivity,[status(thm)],[6488, 6486])).
% 2.50/1.98 tff(6490,plain,
% 2.50/1.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s103) | (~until5(s103)) | xuntil6(s103))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6491,plain,
% 2.50/1.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s103) | node4(s103) | (~until5(s103))),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6490, 6489])).
% 2.50/1.98 tff(6492,plain,
% 2.50/1.98 (node4(s103) | (~until5(s103))),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6491, 225, 6485])).
% 2.50/1.98 tff(6493,plain,
% 2.50/1.98 (~until5(s103)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6492, 6484])).
% 2.50/1.98 tff(6494,plain,
% 2.50/1.98 (((~![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))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6495,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s102, s103)) | (~xuntil6(s102)) | until5(s103))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6496,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s102, s103)) | (~xuntil6(s102)) | until5(s103)),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6495, 6494])).
% 2.50/1.98 tff(6497,plain,
% 2.50/1.98 ((~xuntil6(s102)) | until5(s103)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6496, 5732, 243])).
% 2.50/1.98 tff(6498,plain,
% 2.50/1.98 (~xuntil6(s102)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6497, 6493])).
% 2.50/1.98 tff(6499,plain,
% 2.50/1.98 (((~![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)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6500,plain,
% 2.50/1.98 ((node4(s102) | (~until5(s102)) | xuntil6(s102)) <=> (xuntil6(s102) | node4(s102) | (~until5(s102)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6501,plain,
% 2.50/1.98 (((~![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))))),
% 2.50/1.98 inference(monotonicity,[status(thm)],[6500])).
% 2.50/1.98 tff(6502,plain,
% 2.50/1.98 (((~![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)))),
% 2.50/1.98 inference(transitivity,[status(thm)],[6501, 6499])).
% 2.50/1.98 tff(6503,plain,
% 2.50/1.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s102) | (~until5(s102)) | xuntil6(s102))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6504,plain,
% 2.50/1.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s102) | node4(s102) | (~until5(s102))),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6503, 6502])).
% 2.50/1.98 tff(6505,plain,
% 2.50/1.98 (~until5(s102)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6504, 225, 6498, 6480])).
% 2.50/1.98 tff(6506,plain,
% 2.50/1.98 (((~![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))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6507,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s101, s102)) | (~xuntil6(s101)) | until5(s102))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6508,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s101, s102)) | (~xuntil6(s101)) | until5(s102)),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6507, 6506])).
% 2.50/1.98 tff(6509,plain,
% 2.50/1.98 ((~xuntil6(s101)) | until5(s102)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6508, 5744, 243])).
% 2.50/1.98 tff(6510,plain,
% 2.50/1.98 (~xuntil6(s101)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6509, 6505])).
% 2.50/1.98 tff(6511,plain,
% 2.50/1.98 (~always3(s101)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[5752, 6476])).
% 2.50/1.98 tff(6512,plain,
% 2.50/1.98 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s101) | (~node4(s101)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s101) | (~node4(s101)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6513,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s101) | (~node4(s101)))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6514,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s101) | (~node4(s101))),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6513, 6512])).
% 2.50/1.98 tff(6515,plain,
% 2.50/1.98 (~node4(s101)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6514, 113, 6511])).
% 2.50/1.98 tff(6516,plain,
% 2.50/1.98 (((~![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)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6517,plain,
% 2.50/1.98 ((node4(s101) | (~until5(s101)) | xuntil6(s101)) <=> (xuntil6(s101) | node4(s101) | (~until5(s101)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6518,plain,
% 2.50/1.98 (((~![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))))),
% 2.50/1.98 inference(monotonicity,[status(thm)],[6517])).
% 2.50/1.98 tff(6519,plain,
% 2.50/1.98 (((~![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)))),
% 2.50/1.98 inference(transitivity,[status(thm)],[6518, 6516])).
% 2.50/1.98 tff(6520,plain,
% 2.50/1.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s101) | (~until5(s101)) | xuntil6(s101))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6521,plain,
% 2.50/1.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s101) | node4(s101) | (~until5(s101))),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6520, 6519])).
% 2.50/1.98 tff(6522,plain,
% 2.50/1.98 (xuntil6(s101) | (~until5(s101))),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6521, 225, 6515])).
% 2.50/1.98 tff(6523,plain,
% 2.50/1.98 (~until5(s101)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6522, 6510])).
% 2.50/1.98 tff(6524,plain,
% 2.50/1.98 (((~![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))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6525,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s100, s101)) | (~xuntil6(s100)) | until5(s101))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6526,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s100, s101)) | (~xuntil6(s100)) | until5(s101)),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6525, 6524])).
% 2.50/1.98 tff(6527,plain,
% 2.50/1.98 ((~xuntil6(s100)) | until5(s101)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6526, 5756, 243])).
% 2.50/1.98 tff(6528,plain,
% 2.50/1.98 (~xuntil6(s100)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6527, 6523])).
% 2.50/1.98 tff(6529,plain,
% 2.50/1.98 (~always3(s100)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[5764, 6511])).
% 2.50/1.98 tff(6530,plain,
% 2.50/1.98 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s100) | (~node4(s100)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s100) | (~node4(s100)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6531,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s100) | (~node4(s100)))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6532,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s100) | (~node4(s100))),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6531, 6530])).
% 2.50/1.98 tff(6533,plain,
% 2.50/1.98 (~node4(s100)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6532, 113, 6529])).
% 2.50/1.98 tff(6534,plain,
% 2.50/1.98 (((~![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)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6535,plain,
% 2.50/1.98 ((node4(s100) | (~until5(s100)) | xuntil6(s100)) <=> (xuntil6(s100) | node4(s100) | (~until5(s100)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6536,plain,
% 2.50/1.98 (((~![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))))),
% 2.50/1.98 inference(monotonicity,[status(thm)],[6535])).
% 2.50/1.98 tff(6537,plain,
% 2.50/1.98 (((~![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)))),
% 2.50/1.98 inference(transitivity,[status(thm)],[6536, 6534])).
% 2.50/1.98 tff(6538,plain,
% 2.50/1.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s100) | (~until5(s100)) | xuntil6(s100))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6539,plain,
% 2.50/1.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s100) | node4(s100) | (~until5(s100))),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6538, 6537])).
% 2.50/1.98 tff(6540,plain,
% 2.50/1.98 (xuntil6(s100) | (~until5(s100))),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6539, 225, 6533])).
% 2.50/1.98 tff(6541,plain,
% 2.50/1.98 (~until5(s100)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6540, 6528])).
% 2.50/1.98 tff(6542,plain,
% 2.50/1.98 (((~![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))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6543,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s99, s100)) | (~xuntil6(s99)) | until5(s100))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6544,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s99, s100)) | (~xuntil6(s99)) | until5(s100)),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6543, 6542])).
% 2.50/1.98 tff(6545,plain,
% 2.50/1.98 ((~xuntil6(s99)) | until5(s100)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6544, 5768, 243])).
% 2.50/1.98 tff(6546,plain,
% 2.50/1.98 (~xuntil6(s99)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6545, 6541])).
% 2.50/1.98 tff(6547,plain,
% 2.50/1.98 (~always3(s99)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[5776, 6529])).
% 2.50/1.98 tff(6548,plain,
% 2.50/1.98 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s99) | (~node4(s99)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s99) | (~node4(s99)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6549,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s99) | (~node4(s99)))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6550,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s99) | (~node4(s99))),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6549, 6548])).
% 2.50/1.98 tff(6551,plain,
% 2.50/1.98 (~node4(s99)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6550, 113, 6547])).
% 2.50/1.98 tff(6552,plain,
% 2.50/1.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s99) | node4(s99) | (~until5(s99)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s99) | node4(s99) | (~until5(s99)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6553,plain,
% 2.50/1.98 ((node4(s99) | (~until5(s99)) | xuntil6(s99)) <=> (xuntil6(s99) | node4(s99) | (~until5(s99)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6554,plain,
% 2.50/1.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s99) | (~until5(s99)) | xuntil6(s99))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s99) | node4(s99) | (~until5(s99))))),
% 2.50/1.98 inference(monotonicity,[status(thm)],[6553])).
% 2.50/1.98 tff(6555,plain,
% 2.50/1.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s99) | (~until5(s99)) | xuntil6(s99))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s99) | node4(s99) | (~until5(s99)))),
% 2.50/1.98 inference(transitivity,[status(thm)],[6554, 6552])).
% 2.50/1.98 tff(6556,plain,
% 2.50/1.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s99) | (~until5(s99)) | xuntil6(s99))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6557,plain,
% 2.50/1.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s99) | node4(s99) | (~until5(s99))),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6556, 6555])).
% 2.50/1.98 tff(6558,plain,
% 2.50/1.98 (xuntil6(s99) | (~until5(s99))),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6557, 225, 6551])).
% 2.50/1.98 tff(6559,plain,
% 2.50/1.98 (~until5(s99)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6558, 6546])).
% 2.50/1.98 tff(6560,plain,
% 2.50/1.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s98, s99)) | (~xuntil6(s98)) | until5(s99))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s98, s99)) | (~xuntil6(s98)) | until5(s99))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6561,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s98, s99)) | (~xuntil6(s98)) | until5(s99))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6562,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s98, s99)) | (~xuntil6(s98)) | until5(s99)),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6561, 6560])).
% 2.50/1.98 tff(6563,plain,
% 2.50/1.98 ((~xuntil6(s98)) | until5(s99)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6562, 5780, 243])).
% 2.50/1.98 tff(6564,plain,
% 2.50/1.98 (~xuntil6(s98)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6563, 6559])).
% 2.50/1.98 tff(6565,plain,
% 2.50/1.98 (~always3(s98)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[5788, 6547])).
% 2.50/1.98 tff(6566,plain,
% 2.50/1.98 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s98) | (~node4(s98)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s98) | (~node4(s98)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6567,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s98) | (~node4(s98)))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6568,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s98) | (~node4(s98))),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6567, 6566])).
% 2.50/1.98 tff(6569,plain,
% 2.50/1.98 (~node4(s98)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6568, 113, 6565])).
% 2.50/1.98 tff(6570,plain,
% 2.50/1.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s98) | node4(s98) | (~until5(s98)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s98) | node4(s98) | (~until5(s98)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6571,plain,
% 2.50/1.98 ((node4(s98) | (~until5(s98)) | xuntil6(s98)) <=> (xuntil6(s98) | node4(s98) | (~until5(s98)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6572,plain,
% 2.50/1.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s98) | (~until5(s98)) | xuntil6(s98))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s98) | node4(s98) | (~until5(s98))))),
% 2.50/1.98 inference(monotonicity,[status(thm)],[6571])).
% 2.50/1.98 tff(6573,plain,
% 2.50/1.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s98) | (~until5(s98)) | xuntil6(s98))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s98) | node4(s98) | (~until5(s98)))),
% 2.50/1.98 inference(transitivity,[status(thm)],[6572, 6570])).
% 2.50/1.98 tff(6574,plain,
% 2.50/1.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s98) | (~until5(s98)) | xuntil6(s98))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6575,plain,
% 2.50/1.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s98) | node4(s98) | (~until5(s98))),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6574, 6573])).
% 2.50/1.98 tff(6576,plain,
% 2.50/1.98 (xuntil6(s98) | (~until5(s98))),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6575, 225, 6569])).
% 2.50/1.98 tff(6577,plain,
% 2.50/1.98 (~until5(s98)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6576, 6564])).
% 2.50/1.98 tff(6578,plain,
% 2.50/1.98 (((~![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))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6579,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s97, s98)) | (~xuntil6(s97)) | until5(s98))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6580,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s97, s98)) | (~xuntil6(s97)) | until5(s98)),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6579, 6578])).
% 2.50/1.98 tff(6581,plain,
% 2.50/1.98 ((~xuntil6(s97)) | until5(s98)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6580, 5792, 243])).
% 2.50/1.98 tff(6582,plain,
% 2.50/1.98 (~xuntil6(s97)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6581, 6577])).
% 2.50/1.98 tff(6583,plain,
% 2.50/1.98 (~always3(s97)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[5800, 6565])).
% 2.50/1.98 tff(6584,plain,
% 2.50/1.98 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s97) | (~node4(s97)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s97) | (~node4(s97)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6585,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s97) | (~node4(s97)))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6586,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s97) | (~node4(s97))),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6585, 6584])).
% 2.50/1.98 tff(6587,plain,
% 2.50/1.98 (~node4(s97)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6586, 113, 6583])).
% 2.50/1.98 tff(6588,plain,
% 2.50/1.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s97) | node4(s97) | (~until5(s97)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s97) | node4(s97) | (~until5(s97)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6589,plain,
% 2.50/1.98 ((node4(s97) | (~until5(s97)) | xuntil6(s97)) <=> (xuntil6(s97) | node4(s97) | (~until5(s97)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6590,plain,
% 2.50/1.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s97) | (~until5(s97)) | xuntil6(s97))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s97) | node4(s97) | (~until5(s97))))),
% 2.50/1.98 inference(monotonicity,[status(thm)],[6589])).
% 2.50/1.98 tff(6591,plain,
% 2.50/1.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s97) | (~until5(s97)) | xuntil6(s97))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s97) | node4(s97) | (~until5(s97)))),
% 2.50/1.98 inference(transitivity,[status(thm)],[6590, 6588])).
% 2.50/1.98 tff(6592,plain,
% 2.50/1.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s97) | (~until5(s97)) | xuntil6(s97))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6593,plain,
% 2.50/1.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s97) | node4(s97) | (~until5(s97))),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6592, 6591])).
% 2.50/1.98 tff(6594,plain,
% 2.50/1.98 (xuntil6(s97) | (~until5(s97))),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6593, 225, 6587])).
% 2.50/1.98 tff(6595,plain,
% 2.50/1.98 (~until5(s97)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6594, 6582])).
% 2.50/1.98 tff(6596,plain,
% 2.50/1.98 (((~![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))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6597,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s96, s97)) | (~xuntil6(s96)) | until5(s97))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6598,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s96, s97)) | (~xuntil6(s96)) | until5(s97)),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6597, 6596])).
% 2.50/1.98 tff(6599,plain,
% 2.50/1.98 ((~xuntil6(s96)) | until5(s97)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6598, 5804, 243])).
% 2.50/1.98 tff(6600,plain,
% 2.50/1.98 (~xuntil6(s96)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6599, 6595])).
% 2.50/1.98 tff(6601,plain,
% 2.50/1.98 (~always3(s96)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[5812, 6583])).
% 2.50/1.98 tff(6602,plain,
% 2.50/1.98 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s96) | (~node4(s96)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s96) | (~node4(s96)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6603,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s96) | (~node4(s96)))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6604,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s96) | (~node4(s96))),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6603, 6602])).
% 2.50/1.98 tff(6605,plain,
% 2.50/1.98 (~node4(s96)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6604, 113, 6601])).
% 2.50/1.98 tff(6606,plain,
% 2.50/1.98 (((~![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)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6607,plain,
% 2.50/1.98 ((node4(s96) | (~until5(s96)) | xuntil6(s96)) <=> (xuntil6(s96) | node4(s96) | (~until5(s96)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6608,plain,
% 2.50/1.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s96) | (~until5(s96)) | xuntil6(s96))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s96) | node4(s96) | (~until5(s96))))),
% 2.50/1.98 inference(monotonicity,[status(thm)],[6607])).
% 2.50/1.98 tff(6609,plain,
% 2.50/1.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s96) | (~until5(s96)) | xuntil6(s96))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s96) | node4(s96) | (~until5(s96)))),
% 2.50/1.98 inference(transitivity,[status(thm)],[6608, 6606])).
% 2.50/1.98 tff(6610,plain,
% 2.50/1.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s96) | (~until5(s96)) | xuntil6(s96))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6611,plain,
% 2.50/1.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s96) | node4(s96) | (~until5(s96))),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6610, 6609])).
% 2.50/1.98 tff(6612,plain,
% 2.50/1.98 (xuntil6(s96) | (~until5(s96))),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6611, 225, 6605])).
% 2.50/1.98 tff(6613,plain,
% 2.50/1.98 (~until5(s96)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6612, 6600])).
% 2.50/1.98 tff(6614,plain,
% 2.50/1.98 (((~![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))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6615,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s95, s96)) | (~xuntil6(s95)) | until5(s96))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6616,plain,
% 2.50/1.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s95, s96)) | (~xuntil6(s95)) | until5(s96)),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6615, 6614])).
% 2.50/1.98 tff(6617,plain,
% 2.50/1.98 ((~xuntil6(s95)) | until5(s96)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6616, 5816, 243])).
% 2.50/1.98 tff(6618,plain,
% 2.50/1.98 (~xuntil6(s95)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6617, 6613])).
% 2.50/1.98 tff(6619,plain,
% 2.50/1.98 (~always3(s95)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[5824, 6601])).
% 2.50/1.98 tff(6620,plain,
% 2.50/1.98 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s95) | (~node4(s95)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s95) | (~node4(s95)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6621,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s95) | (~node4(s95)))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6622,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s95) | (~node4(s95))),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6621, 6620])).
% 2.50/1.98 tff(6623,plain,
% 2.50/1.98 (~node4(s95)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6622, 113, 6619])).
% 2.50/1.98 tff(6624,plain,
% 2.50/1.98 (((~![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)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6625,plain,
% 2.50/1.98 ((node4(s95) | (~until5(s95)) | xuntil6(s95)) <=> (xuntil6(s95) | node4(s95) | (~until5(s95)))),
% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6626,plain,
% 2.50/1.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s95) | (~until5(s95)) | xuntil6(s95))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s95) | node4(s95) | (~until5(s95))))),
% 2.50/1.98 inference(monotonicity,[status(thm)],[6625])).
% 2.50/1.98 tff(6627,plain,
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% 2.50/1.98 inference(transitivity,[status(thm)],[6626, 6624])).
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% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6629,plain,
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% 2.50/1.98 inference(modus_ponens,[status(thm)],[6628, 6627])).
% 2.50/1.98 tff(6630,plain,
% 2.50/1.98 (xuntil6(s95) | (~until5(s95))),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6629, 225, 6623])).
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% 2.50/1.98 (~until5(s95)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6630, 6618])).
% 2.50/1.98 tff(6632,plain,
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% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6633,plain,
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% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6634,plain,
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% 2.50/1.98 inference(modus_ponens,[status(thm)],[6633, 6632])).
% 2.50/1.98 tff(6635,plain,
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% 2.50/1.98 inference(unit_resolution,[status(thm)],[6634, 5828, 243])).
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% 2.50/1.98 (~xuntil6(s94)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[6635, 6631])).
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% 2.50/1.98 (~always3(s94)),
% 2.50/1.98 inference(unit_resolution,[status(thm)],[5836, 6619])).
% 2.50/1.98 tff(6638,plain,
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% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.98 tff(6639,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s94) | (~node4(s94)))),
% 2.50/1.98 inference(quant_inst,[status(thm)],[])).
% 2.50/1.98 tff(6640,plain,
% 2.50/1.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s94) | (~node4(s94))),
% 2.50/1.98 inference(modus_ponens,[status(thm)],[6639, 6638])).
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% 2.50/1.98 inference(unit_resolution,[status(thm)],[6640, 113, 6637])).
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% 2.50/1.98 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6643,plain,
% 2.50/1.99 ((node4(s94) | (~until5(s94)) | xuntil6(s94)) <=> (xuntil6(s94) | node4(s94) | (~until5(s94)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6644,plain,
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% 2.50/1.99 inference(monotonicity,[status(thm)],[6643])).
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% 2.50/1.99 inference(transitivity,[status(thm)],[6644, 6642])).
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% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6647,plain,
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% 2.50/1.99 inference(modus_ponens,[status(thm)],[6646, 6645])).
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% 2.50/1.99 inference(unit_resolution,[status(thm)],[6647, 225, 6641])).
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% 2.50/1.99 (~until5(s94)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6648, 6636])).
% 2.50/1.99 tff(6650,plain,
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% 2.50/1.99 inference(rewrite,[status(thm)],[])).
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% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6652,plain,
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% 2.50/1.99 inference(modus_ponens,[status(thm)],[6651, 6650])).
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% 2.50/1.99 ((~xuntil6(s93)) | until5(s94)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6652, 5840, 243])).
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% 2.50/1.99 (~xuntil6(s93)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6653, 6649])).
% 2.50/1.99 tff(6655,plain,
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% 2.50/1.99 inference(unit_resolution,[status(thm)],[5848, 6637])).
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% 2.50/1.99 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s93) | (~node4(s93)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s93) | (~node4(s93)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6657,plain,
% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s93) | (~node4(s93)))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
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% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s93) | (~node4(s93))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6657, 6656])).
% 2.50/1.99 tff(6659,plain,
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% 2.50/1.99 inference(unit_resolution,[status(thm)],[6658, 113, 6655])).
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% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6661,plain,
% 2.50/1.99 ((node4(s93) | (~until5(s93)) | xuntil6(s93)) <=> (xuntil6(s93) | node4(s93) | (~until5(s93)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6662,plain,
% 2.50/1.99 (((~![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))))),
% 2.50/1.99 inference(monotonicity,[status(thm)],[6661])).
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% 2.50/1.99 inference(transitivity,[status(thm)],[6662, 6660])).
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% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
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% 2.50/1.99 inference(modus_ponens,[status(thm)],[6664, 6663])).
% 2.50/1.99 tff(6666,plain,
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% 2.50/1.99 inference(unit_resolution,[status(thm)],[6665, 225, 6659])).
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% 2.50/1.99 inference(unit_resolution,[status(thm)],[6666, 6654])).
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% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6669,plain,
% 2.50/1.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s92, s93)) | (~xuntil6(s92)) | until5(s93))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
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% 2.50/1.99 inference(modus_ponens,[status(thm)],[6669, 6668])).
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% 2.50/1.99 inference(unit_resolution,[status(thm)],[6670, 5852, 243])).
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% 2.50/1.99 inference(unit_resolution,[status(thm)],[6671, 6667])).
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% 2.50/1.99 inference(unit_resolution,[status(thm)],[5860, 6655])).
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% 2.50/1.99 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s92) | (~node4(s92)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s92) | (~node4(s92)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
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% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
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% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s92) | (~node4(s92))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6675, 6674])).
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% 2.50/1.99 inference(unit_resolution,[status(thm)],[6676, 113, 6673])).
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% 2.50/1.99 inference(rewrite,[status(thm)],[])).
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% 2.50/1.99 ((node4(s92) | (~until5(s92)) | xuntil6(s92)) <=> (xuntil6(s92) | node4(s92) | (~until5(s92)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
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% 2.50/1.99 inference(monotonicity,[status(thm)],[6679])).
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% 2.50/1.99 inference(transitivity,[status(thm)],[6680, 6678])).
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% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
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% 2.50/1.99 inference(unit_resolution,[status(thm)],[6683, 225, 6677])).
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% 2.50/1.99 inference(unit_resolution,[status(thm)],[6684, 6672])).
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% 2.50/1.99 inference(rewrite,[status(thm)],[])).
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% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
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% 2.50/1.99 inference(modus_ponens,[status(thm)],[6687, 6686])).
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% 2.50/1.99 inference(unit_resolution,[status(thm)],[6688, 5864, 243])).
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% 2.50/1.99 inference(unit_resolution,[status(thm)],[6689, 6685])).
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% 2.50/1.99 inference(unit_resolution,[status(thm)],[5872, 6673])).
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% 2.50/1.99 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s91) | (~node4(s91)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s91) | (~node4(s91)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
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% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
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% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s91) | (~node4(s91))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6693, 6692])).
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% 2.50/1.99 inference(unit_resolution,[status(thm)],[6694, 113, 6691])).
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% 2.50/1.99 inference(rewrite,[status(thm)],[])).
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% 2.50/1.99 ((node4(s91) | (~until5(s91)) | xuntil6(s91)) <=> (xuntil6(s91) | node4(s91) | (~until5(s91)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
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% 2.50/1.99 inference(monotonicity,[status(thm)],[6697])).
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% 2.50/1.99 (((~![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)))),
% 2.50/1.99 inference(transitivity,[status(thm)],[6698, 6696])).
% 2.50/1.99 tff(6700,plain,
% 2.50/1.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s91) | (~until5(s91)) | xuntil6(s91))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6701,plain,
% 2.50/1.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s91) | node4(s91) | (~until5(s91))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6700, 6699])).
% 2.50/1.99 tff(6702,plain,
% 2.50/1.99 (xuntil6(s91) | (~until5(s91))),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6701, 225, 6695])).
% 2.50/1.99 tff(6703,plain,
% 2.50/1.99 (~until5(s91)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6702, 6690])).
% 2.50/1.99 tff(6704,plain,
% 2.50/1.99 (((~![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))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6705,plain,
% 2.50/1.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s90, s91)) | (~xuntil6(s90)) | until5(s91))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6706,plain,
% 2.50/1.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s90, s91)) | (~xuntil6(s90)) | until5(s91)),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6705, 6704])).
% 2.50/1.99 tff(6707,plain,
% 2.50/1.99 ((~xuntil6(s90)) | until5(s91)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6706, 5876, 243])).
% 2.50/1.99 tff(6708,plain,
% 2.50/1.99 (~xuntil6(s90)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6707, 6703])).
% 2.50/1.99 tff(6709,plain,
% 2.50/1.99 (~always3(s90)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[5884, 6691])).
% 2.50/1.99 tff(6710,plain,
% 2.50/1.99 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s90) | (~node4(s90)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s90) | (~node4(s90)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6711,plain,
% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s90) | (~node4(s90)))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6712,plain,
% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s90) | (~node4(s90))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6711, 6710])).
% 2.50/1.99 tff(6713,plain,
% 2.50/1.99 (~node4(s90)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6712, 113, 6709])).
% 2.50/1.99 tff(6714,plain,
% 2.50/1.99 (((~![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)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6715,plain,
% 2.50/1.99 ((node4(s90) | (~until5(s90)) | xuntil6(s90)) <=> (xuntil6(s90) | node4(s90) | (~until5(s90)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6716,plain,
% 2.50/1.99 (((~![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))))),
% 2.50/1.99 inference(monotonicity,[status(thm)],[6715])).
% 2.50/1.99 tff(6717,plain,
% 2.50/1.99 (((~![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)))),
% 2.50/1.99 inference(transitivity,[status(thm)],[6716, 6714])).
% 2.50/1.99 tff(6718,plain,
% 2.50/1.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s90) | (~until5(s90)) | xuntil6(s90))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6719,plain,
% 2.50/1.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s90) | node4(s90) | (~until5(s90))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6718, 6717])).
% 2.50/1.99 tff(6720,plain,
% 2.50/1.99 (xuntil6(s90) | (~until5(s90))),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6719, 225, 6713])).
% 2.50/1.99 tff(6721,plain,
% 2.50/1.99 (~until5(s90)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6720, 6708])).
% 2.50/1.99 tff(6722,plain,
% 2.50/1.99 (((~![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))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6723,plain,
% 2.50/1.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s89, s90)) | (~xuntil6(s89)) | until5(s90))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6724,plain,
% 2.50/1.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s89, s90)) | (~xuntil6(s89)) | until5(s90)),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6723, 6722])).
% 2.50/1.99 tff(6725,plain,
% 2.50/1.99 ((~xuntil6(s89)) | until5(s90)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6724, 5888, 243])).
% 2.50/1.99 tff(6726,plain,
% 2.50/1.99 (~xuntil6(s89)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6725, 6721])).
% 2.50/1.99 tff(6727,plain,
% 2.50/1.99 (~always3(s89)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[5896, 6709])).
% 2.50/1.99 tff(6728,plain,
% 2.50/1.99 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s89) | (~node4(s89)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s89) | (~node4(s89)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6729,plain,
% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s89) | (~node4(s89)))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6730,plain,
% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s89) | (~node4(s89))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6729, 6728])).
% 2.50/1.99 tff(6731,plain,
% 2.50/1.99 (~node4(s89)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6730, 113, 6727])).
% 2.50/1.99 tff(6732,plain,
% 2.50/1.99 (((~![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)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6733,plain,
% 2.50/1.99 ((node4(s89) | (~until5(s89)) | xuntil6(s89)) <=> (xuntil6(s89) | node4(s89) | (~until5(s89)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6734,plain,
% 2.50/1.99 (((~![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))))),
% 2.50/1.99 inference(monotonicity,[status(thm)],[6733])).
% 2.50/1.99 tff(6735,plain,
% 2.50/1.99 (((~![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)))),
% 2.50/1.99 inference(transitivity,[status(thm)],[6734, 6732])).
% 2.50/1.99 tff(6736,plain,
% 2.50/1.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s89) | (~until5(s89)) | xuntil6(s89))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6737,plain,
% 2.50/1.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s89) | node4(s89) | (~until5(s89))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6736, 6735])).
% 2.50/1.99 tff(6738,plain,
% 2.50/1.99 (xuntil6(s89) | (~until5(s89))),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6737, 225, 6731])).
% 2.50/1.99 tff(6739,plain,
% 2.50/1.99 (~until5(s89)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6738, 6726])).
% 2.50/1.99 tff(6740,plain,
% 2.50/1.99 (((~![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))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6741,plain,
% 2.50/1.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s88, s89)) | (~xuntil6(s88)) | until5(s89))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6742,plain,
% 2.50/1.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s88, s89)) | (~xuntil6(s88)) | until5(s89)),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6741, 6740])).
% 2.50/1.99 tff(6743,plain,
% 2.50/1.99 ((~xuntil6(s88)) | until5(s89)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6742, 5900, 243])).
% 2.50/1.99 tff(6744,plain,
% 2.50/1.99 (~xuntil6(s88)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6743, 6739])).
% 2.50/1.99 tff(6745,plain,
% 2.50/1.99 (~always3(s88)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[5908, 6727])).
% 2.50/1.99 tff(6746,plain,
% 2.50/1.99 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s88) | (~node4(s88)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s88) | (~node4(s88)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6747,plain,
% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s88) | (~node4(s88)))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6748,plain,
% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s88) | (~node4(s88))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6747, 6746])).
% 2.50/1.99 tff(6749,plain,
% 2.50/1.99 (~node4(s88)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6748, 113, 6745])).
% 2.50/1.99 tff(6750,plain,
% 2.50/1.99 (((~![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)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6751,plain,
% 2.50/1.99 ((node4(s88) | (~until5(s88)) | xuntil6(s88)) <=> (xuntil6(s88) | node4(s88) | (~until5(s88)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6752,plain,
% 2.50/1.99 (((~![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))))),
% 2.50/1.99 inference(monotonicity,[status(thm)],[6751])).
% 2.50/1.99 tff(6753,plain,
% 2.50/1.99 (((~![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)))),
% 2.50/1.99 inference(transitivity,[status(thm)],[6752, 6750])).
% 2.50/1.99 tff(6754,plain,
% 2.50/1.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s88) | (~until5(s88)) | xuntil6(s88))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6755,plain,
% 2.50/1.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s88) | node4(s88) | (~until5(s88))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6754, 6753])).
% 2.50/1.99 tff(6756,plain,
% 2.50/1.99 (xuntil6(s88) | (~until5(s88))),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6755, 225, 6749])).
% 2.50/1.99 tff(6757,plain,
% 2.50/1.99 (~until5(s88)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6756, 6744])).
% 2.50/1.99 tff(6758,plain,
% 2.50/1.99 (((~![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))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6759,plain,
% 2.50/1.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s87, s88)) | (~xuntil6(s87)) | until5(s88))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6760,plain,
% 2.50/1.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s87, s88)) | (~xuntil6(s87)) | until5(s88)),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6759, 6758])).
% 2.50/1.99 tff(6761,plain,
% 2.50/1.99 ((~xuntil6(s87)) | until5(s88)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6760, 5912, 243])).
% 2.50/1.99 tff(6762,plain,
% 2.50/1.99 (~xuntil6(s87)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6761, 6757])).
% 2.50/1.99 tff(6763,plain,
% 2.50/1.99 (~always3(s87)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[5920, 6745])).
% 2.50/1.99 tff(6764,plain,
% 2.50/1.99 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s87) | (~node4(s87)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s87) | (~node4(s87)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6765,plain,
% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s87) | (~node4(s87)))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6766,plain,
% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s87) | (~node4(s87))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6765, 6764])).
% 2.50/1.99 tff(6767,plain,
% 2.50/1.99 (~node4(s87)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6766, 113, 6763])).
% 2.50/1.99 tff(6768,plain,
% 2.50/1.99 (((~![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)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6769,plain,
% 2.50/1.99 ((node4(s87) | (~until5(s87)) | xuntil6(s87)) <=> (xuntil6(s87) | node4(s87) | (~until5(s87)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6770,plain,
% 2.50/1.99 (((~![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))))),
% 2.50/1.99 inference(monotonicity,[status(thm)],[6769])).
% 2.50/1.99 tff(6771,plain,
% 2.50/1.99 (((~![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)))),
% 2.50/1.99 inference(transitivity,[status(thm)],[6770, 6768])).
% 2.50/1.99 tff(6772,plain,
% 2.50/1.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s87) | (~until5(s87)) | xuntil6(s87))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6773,plain,
% 2.50/1.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s87) | node4(s87) | (~until5(s87))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6772, 6771])).
% 2.50/1.99 tff(6774,plain,
% 2.50/1.99 (xuntil6(s87) | (~until5(s87))),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6773, 225, 6767])).
% 2.50/1.99 tff(6775,plain,
% 2.50/1.99 (~until5(s87)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6774, 6762])).
% 2.50/1.99 tff(6776,plain,
% 2.50/1.99 (((~![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))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6777,plain,
% 2.50/1.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s86, s87)) | (~xuntil6(s86)) | until5(s87))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6778,plain,
% 2.50/1.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s86, s87)) | (~xuntil6(s86)) | until5(s87)),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6777, 6776])).
% 2.50/1.99 tff(6779,plain,
% 2.50/1.99 ((~xuntil6(s86)) | until5(s87)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6778, 5924, 243])).
% 2.50/1.99 tff(6780,plain,
% 2.50/1.99 (~xuntil6(s86)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6779, 6775])).
% 2.50/1.99 tff(6781,plain,
% 2.50/1.99 (~always3(s86)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[5932, 6763])).
% 2.50/1.99 tff(6782,plain,
% 2.50/1.99 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s86) | (~node4(s86)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s86) | (~node4(s86)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6783,plain,
% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s86) | (~node4(s86)))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6784,plain,
% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s86) | (~node4(s86))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6783, 6782])).
% 2.50/1.99 tff(6785,plain,
% 2.50/1.99 (~node4(s86)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6784, 113, 6781])).
% 2.50/1.99 tff(6786,plain,
% 2.50/1.99 (((~![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)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6787,plain,
% 2.50/1.99 ((node4(s86) | (~until5(s86)) | xuntil6(s86)) <=> (xuntil6(s86) | node4(s86) | (~until5(s86)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6788,plain,
% 2.50/1.99 (((~![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))))),
% 2.50/1.99 inference(monotonicity,[status(thm)],[6787])).
% 2.50/1.99 tff(6789,plain,
% 2.50/1.99 (((~![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)))),
% 2.50/1.99 inference(transitivity,[status(thm)],[6788, 6786])).
% 2.50/1.99 tff(6790,plain,
% 2.50/1.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s86) | (~until5(s86)) | xuntil6(s86))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6791,plain,
% 2.50/1.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s86) | node4(s86) | (~until5(s86))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6790, 6789])).
% 2.50/1.99 tff(6792,plain,
% 2.50/1.99 (xuntil6(s86) | (~until5(s86))),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6791, 225, 6785])).
% 2.50/1.99 tff(6793,plain,
% 2.50/1.99 (~until5(s86)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6792, 6780])).
% 2.50/1.99 tff(6794,plain,
% 2.50/1.99 (((~![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))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6795,plain,
% 2.50/1.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s85, s86)) | (~xuntil6(s85)) | until5(s86))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6796,plain,
% 2.50/1.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s85, s86)) | (~xuntil6(s85)) | until5(s86)),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6795, 6794])).
% 2.50/1.99 tff(6797,plain,
% 2.50/1.99 ((~xuntil6(s85)) | until5(s86)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6796, 5936, 243])).
% 2.50/1.99 tff(6798,plain,
% 2.50/1.99 (~xuntil6(s85)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6797, 6793])).
% 2.50/1.99 tff(6799,plain,
% 2.50/1.99 (~always3(s85)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[5944, 6781])).
% 2.50/1.99 tff(6800,plain,
% 2.50/1.99 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s85) | (~node4(s85)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s85) | (~node4(s85)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6801,plain,
% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s85) | (~node4(s85)))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6802,plain,
% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s85) | (~node4(s85))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6801, 6800])).
% 2.50/1.99 tff(6803,plain,
% 2.50/1.99 (~node4(s85)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6802, 113, 6799])).
% 2.50/1.99 tff(6804,plain,
% 2.50/1.99 (((~![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)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6805,plain,
% 2.50/1.99 ((node4(s85) | (~until5(s85)) | xuntil6(s85)) <=> (xuntil6(s85) | node4(s85) | (~until5(s85)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6806,plain,
% 2.50/1.99 (((~![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))))),
% 2.50/1.99 inference(monotonicity,[status(thm)],[6805])).
% 2.50/1.99 tff(6807,plain,
% 2.50/1.99 (((~![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)))),
% 2.50/1.99 inference(transitivity,[status(thm)],[6806, 6804])).
% 2.50/1.99 tff(6808,plain,
% 2.50/1.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s85) | (~until5(s85)) | xuntil6(s85))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6809,plain,
% 2.50/1.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s85) | node4(s85) | (~until5(s85))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6808, 6807])).
% 2.50/1.99 tff(6810,plain,
% 2.50/1.99 (xuntil6(s85) | (~until5(s85))),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6809, 225, 6803])).
% 2.50/1.99 tff(6811,plain,
% 2.50/1.99 (~until5(s85)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6810, 6798])).
% 2.50/1.99 tff(6812,plain,
% 2.50/1.99 (((~![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))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6813,plain,
% 2.50/1.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s84, s85)) | (~xuntil6(s84)) | until5(s85))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6814,plain,
% 2.50/1.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s84, s85)) | (~xuntil6(s84)) | until5(s85)),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6813, 6812])).
% 2.50/1.99 tff(6815,plain,
% 2.50/1.99 ((~xuntil6(s84)) | until5(s85)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6814, 5948, 243])).
% 2.50/1.99 tff(6816,plain,
% 2.50/1.99 (~xuntil6(s84)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6815, 6811])).
% 2.50/1.99 tff(6817,plain,
% 2.50/1.99 (~always3(s84)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[5956, 6799])).
% 2.50/1.99 tff(6818,plain,
% 2.50/1.99 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s84) | (~node4(s84)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s84) | (~node4(s84)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6819,plain,
% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s84) | (~node4(s84)))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6820,plain,
% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s84) | (~node4(s84))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6819, 6818])).
% 2.50/1.99 tff(6821,plain,
% 2.50/1.99 (~node4(s84)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6820, 113, 6817])).
% 2.50/1.99 tff(6822,plain,
% 2.50/1.99 (((~![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)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6823,plain,
% 2.50/1.99 ((node4(s84) | (~until5(s84)) | xuntil6(s84)) <=> (xuntil6(s84) | node4(s84) | (~until5(s84)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6824,plain,
% 2.50/1.99 (((~![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))))),
% 2.50/1.99 inference(monotonicity,[status(thm)],[6823])).
% 2.50/1.99 tff(6825,plain,
% 2.50/1.99 (((~![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)))),
% 2.50/1.99 inference(transitivity,[status(thm)],[6824, 6822])).
% 2.50/1.99 tff(6826,plain,
% 2.50/1.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s84) | (~until5(s84)) | xuntil6(s84))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6827,plain,
% 2.50/1.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s84) | node4(s84) | (~until5(s84))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6826, 6825])).
% 2.50/1.99 tff(6828,plain,
% 2.50/1.99 (xuntil6(s84) | (~until5(s84))),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6827, 225, 6821])).
% 2.50/1.99 tff(6829,plain,
% 2.50/1.99 (~until5(s84)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6828, 6816])).
% 2.50/1.99 tff(6830,plain,
% 2.50/1.99 (((~![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))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6831,plain,
% 2.50/1.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s83, s84)) | (~xuntil6(s83)) | until5(s84))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6832,plain,
% 2.50/1.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s83, s84)) | (~xuntil6(s83)) | until5(s84)),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6831, 6830])).
% 2.50/1.99 tff(6833,plain,
% 2.50/1.99 ((~xuntil6(s83)) | until5(s84)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6832, 5960, 243])).
% 2.50/1.99 tff(6834,plain,
% 2.50/1.99 (~xuntil6(s83)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6833, 6829])).
% 2.50/1.99 tff(6835,plain,
% 2.50/1.99 (~always3(s83)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[5968, 6817])).
% 2.50/1.99 tff(6836,plain,
% 2.50/1.99 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s83) | (~node4(s83)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s83) | (~node4(s83)))),
% 2.50/1.99 inference(rewrite,[status(thm)],[])).
% 2.50/1.99 tff(6837,plain,
% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s83) | (~node4(s83)))),
% 2.50/1.99 inference(quant_inst,[status(thm)],[])).
% 2.50/1.99 tff(6838,plain,
% 2.50/1.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s83) | (~node4(s83))),
% 2.50/1.99 inference(modus_ponens,[status(thm)],[6837, 6836])).
% 2.50/1.99 tff(6839,plain,
% 2.50/1.99 (~node4(s83)),
% 2.50/1.99 inference(unit_resolution,[status(thm)],[6838, 113, 6835])).
% 2.50/1.99 tff(6840,plain,
% 2.50/1.99 (((~![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)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6841,plain,
% 2.50/2.00 ((node4(s83) | (~until5(s83)) | xuntil6(s83)) <=> (xuntil6(s83) | node4(s83) | (~until5(s83)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6842,plain,
% 2.50/2.00 (((~![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))))),
% 2.50/2.00 inference(monotonicity,[status(thm)],[6841])).
% 2.50/2.00 tff(6843,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(transitivity,[status(thm)],[6842, 6840])).
% 2.50/2.00 tff(6844,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s83) | (~until5(s83)) | xuntil6(s83))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6845,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s83) | node4(s83) | (~until5(s83))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6844, 6843])).
% 2.50/2.00 tff(6846,plain,
% 2.50/2.00 (xuntil6(s83) | (~until5(s83))),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6845, 225, 6839])).
% 2.50/2.00 tff(6847,plain,
% 2.50/2.00 (~until5(s83)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6846, 6834])).
% 2.50/2.00 tff(6848,plain,
% 2.50/2.00 (((~![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))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6849,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s82, s83)) | (~xuntil6(s82)) | until5(s83))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6850,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s82, s83)) | (~xuntil6(s82)) | until5(s83)),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6849, 6848])).
% 2.50/2.00 tff(6851,plain,
% 2.50/2.00 ((~xuntil6(s82)) | until5(s83)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6850, 5972, 243])).
% 2.50/2.00 tff(6852,plain,
% 2.50/2.00 (~xuntil6(s82)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6851, 6847])).
% 2.50/2.00 tff(6853,plain,
% 2.50/2.00 (~always3(s82)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[5980, 6835])).
% 2.50/2.00 tff(6854,plain,
% 2.50/2.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s82) | (~node4(s82)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s82) | (~node4(s82)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6855,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s82) | (~node4(s82)))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6856,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s82) | (~node4(s82))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6855, 6854])).
% 2.50/2.00 tff(6857,plain,
% 2.50/2.00 (~node4(s82)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6856, 113, 6853])).
% 2.50/2.00 tff(6858,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6859,plain,
% 2.50/2.00 ((node4(s82) | (~until5(s82)) | xuntil6(s82)) <=> (xuntil6(s82) | node4(s82) | (~until5(s82)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6860,plain,
% 2.50/2.00 (((~![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))))),
% 2.50/2.00 inference(monotonicity,[status(thm)],[6859])).
% 2.50/2.00 tff(6861,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(transitivity,[status(thm)],[6860, 6858])).
% 2.50/2.00 tff(6862,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s82) | (~until5(s82)) | xuntil6(s82))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6863,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s82) | node4(s82) | (~until5(s82))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6862, 6861])).
% 2.50/2.00 tff(6864,plain,
% 2.50/2.00 (xuntil6(s82) | (~until5(s82))),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6863, 225, 6857])).
% 2.50/2.00 tff(6865,plain,
% 2.50/2.00 (~until5(s82)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6864, 6852])).
% 2.50/2.00 tff(6866,plain,
% 2.50/2.00 (((~![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))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6867,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s81, s82)) | (~xuntil6(s81)) | until5(s82))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6868,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s81, s82)) | (~xuntil6(s81)) | until5(s82)),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6867, 6866])).
% 2.50/2.00 tff(6869,plain,
% 2.50/2.00 ((~xuntil6(s81)) | until5(s82)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6868, 5984, 243])).
% 2.50/2.00 tff(6870,plain,
% 2.50/2.00 (~xuntil6(s81)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6869, 6865])).
% 2.50/2.00 tff(6871,plain,
% 2.50/2.00 (~always3(s81)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[5992, 6853])).
% 2.50/2.00 tff(6872,plain,
% 2.50/2.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s81) | (~node4(s81)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s81) | (~node4(s81)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6873,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s81) | (~node4(s81)))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6874,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s81) | (~node4(s81))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6873, 6872])).
% 2.50/2.00 tff(6875,plain,
% 2.50/2.00 (~node4(s81)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6874, 113, 6871])).
% 2.50/2.00 tff(6876,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6877,plain,
% 2.50/2.00 ((node4(s81) | (~until5(s81)) | xuntil6(s81)) <=> (xuntil6(s81) | node4(s81) | (~until5(s81)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6878,plain,
% 2.50/2.00 (((~![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))))),
% 2.50/2.00 inference(monotonicity,[status(thm)],[6877])).
% 2.50/2.00 tff(6879,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(transitivity,[status(thm)],[6878, 6876])).
% 2.50/2.00 tff(6880,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s81) | (~until5(s81)) | xuntil6(s81))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6881,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s81) | node4(s81) | (~until5(s81))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6880, 6879])).
% 2.50/2.00 tff(6882,plain,
% 2.50/2.00 (xuntil6(s81) | (~until5(s81))),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6881, 225, 6875])).
% 2.50/2.00 tff(6883,plain,
% 2.50/2.00 (~until5(s81)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6882, 6870])).
% 2.50/2.00 tff(6884,plain,
% 2.50/2.00 (((~![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))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6885,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s80, s81)) | (~xuntil6(s80)) | until5(s81))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6886,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s80, s81)) | (~xuntil6(s80)) | until5(s81)),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6885, 6884])).
% 2.50/2.00 tff(6887,plain,
% 2.50/2.00 ((~xuntil6(s80)) | until5(s81)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6886, 5996, 243])).
% 2.50/2.00 tff(6888,plain,
% 2.50/2.00 (~xuntil6(s80)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6887, 6883])).
% 2.50/2.00 tff(6889,plain,
% 2.50/2.00 (~always3(s80)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6004, 6871])).
% 2.50/2.00 tff(6890,plain,
% 2.50/2.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s80) | (~node4(s80)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s80) | (~node4(s80)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6891,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s80) | (~node4(s80)))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6892,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s80) | (~node4(s80))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6891, 6890])).
% 2.50/2.00 tff(6893,plain,
% 2.50/2.00 (~node4(s80)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6892, 113, 6889])).
% 2.50/2.00 tff(6894,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6895,plain,
% 2.50/2.00 ((node4(s80) | (~until5(s80)) | xuntil6(s80)) <=> (xuntil6(s80) | node4(s80) | (~until5(s80)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6896,plain,
% 2.50/2.00 (((~![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))))),
% 2.50/2.00 inference(monotonicity,[status(thm)],[6895])).
% 2.50/2.00 tff(6897,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(transitivity,[status(thm)],[6896, 6894])).
% 2.50/2.00 tff(6898,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s80) | (~until5(s80)) | xuntil6(s80))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6899,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s80) | node4(s80) | (~until5(s80))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6898, 6897])).
% 2.50/2.00 tff(6900,plain,
% 2.50/2.00 (xuntil6(s80) | (~until5(s80))),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6899, 225, 6893])).
% 2.50/2.00 tff(6901,plain,
% 2.50/2.00 (~until5(s80)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6900, 6888])).
% 2.50/2.00 tff(6902,plain,
% 2.50/2.00 (((~![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))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6903,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s79, s80)) | (~xuntil6(s79)) | until5(s80))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6904,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s79, s80)) | (~xuntil6(s79)) | until5(s80)),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6903, 6902])).
% 2.50/2.00 tff(6905,plain,
% 2.50/2.00 ((~xuntil6(s79)) | until5(s80)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6904, 6008, 243])).
% 2.50/2.00 tff(6906,plain,
% 2.50/2.00 (~xuntil6(s79)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6905, 6901])).
% 2.50/2.00 tff(6907,plain,
% 2.50/2.00 (~always3(s79)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6016, 6889])).
% 2.50/2.00 tff(6908,plain,
% 2.50/2.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s79) | (~node4(s79)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s79) | (~node4(s79)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6909,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s79) | (~node4(s79)))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6910,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s79) | (~node4(s79))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6909, 6908])).
% 2.50/2.00 tff(6911,plain,
% 2.50/2.00 (~node4(s79)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6910, 113, 6907])).
% 2.50/2.00 tff(6912,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6913,plain,
% 2.50/2.00 ((node4(s79) | (~until5(s79)) | xuntil6(s79)) <=> (xuntil6(s79) | node4(s79) | (~until5(s79)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6914,plain,
% 2.50/2.00 (((~![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))))),
% 2.50/2.00 inference(monotonicity,[status(thm)],[6913])).
% 2.50/2.00 tff(6915,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(transitivity,[status(thm)],[6914, 6912])).
% 2.50/2.00 tff(6916,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s79) | (~until5(s79)) | xuntil6(s79))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6917,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s79) | node4(s79) | (~until5(s79))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6916, 6915])).
% 2.50/2.00 tff(6918,plain,
% 2.50/2.00 (xuntil6(s79) | (~until5(s79))),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6917, 225, 6911])).
% 2.50/2.00 tff(6919,plain,
% 2.50/2.00 (~until5(s79)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6918, 6906])).
% 2.50/2.00 tff(6920,plain,
% 2.50/2.00 (((~![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))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6921,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s78, s79)) | (~xuntil6(s78)) | until5(s79))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6922,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s78, s79)) | (~xuntil6(s78)) | until5(s79)),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6921, 6920])).
% 2.50/2.00 tff(6923,plain,
% 2.50/2.00 ((~xuntil6(s78)) | until5(s79)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6922, 6020, 243])).
% 2.50/2.00 tff(6924,plain,
% 2.50/2.00 (~xuntil6(s78)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6923, 6919])).
% 2.50/2.00 tff(6925,plain,
% 2.50/2.00 (~always3(s78)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6028, 6907])).
% 2.50/2.00 tff(6926,plain,
% 2.50/2.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s78) | (~node4(s78)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s78) | (~node4(s78)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6927,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s78) | (~node4(s78)))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6928,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s78) | (~node4(s78))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6927, 6926])).
% 2.50/2.00 tff(6929,plain,
% 2.50/2.00 (~node4(s78)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6928, 113, 6925])).
% 2.50/2.00 tff(6930,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6931,plain,
% 2.50/2.00 ((node4(s78) | (~until5(s78)) | xuntil6(s78)) <=> (xuntil6(s78) | node4(s78) | (~until5(s78)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6932,plain,
% 2.50/2.00 (((~![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))))),
% 2.50/2.00 inference(monotonicity,[status(thm)],[6931])).
% 2.50/2.00 tff(6933,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(transitivity,[status(thm)],[6932, 6930])).
% 2.50/2.00 tff(6934,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s78) | (~until5(s78)) | xuntil6(s78))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6935,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s78) | node4(s78) | (~until5(s78))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6934, 6933])).
% 2.50/2.00 tff(6936,plain,
% 2.50/2.00 (xuntil6(s78) | (~until5(s78))),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6935, 225, 6929])).
% 2.50/2.00 tff(6937,plain,
% 2.50/2.00 (~until5(s78)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6936, 6924])).
% 2.50/2.00 tff(6938,plain,
% 2.50/2.00 (((~![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))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6939,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s77, s78)) | (~xuntil6(s77)) | until5(s78))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6940,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s77, s78)) | (~xuntil6(s77)) | until5(s78)),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6939, 6938])).
% 2.50/2.00 tff(6941,plain,
% 2.50/2.00 ((~xuntil6(s77)) | until5(s78)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6940, 6032, 243])).
% 2.50/2.00 tff(6942,plain,
% 2.50/2.00 (~xuntil6(s77)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6941, 6937])).
% 2.50/2.00 tff(6943,plain,
% 2.50/2.00 (~always3(s77)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6040, 6925])).
% 2.50/2.00 tff(6944,plain,
% 2.50/2.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s77) | (~node4(s77)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s77) | (~node4(s77)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6945,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s77) | (~node4(s77)))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6946,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s77) | (~node4(s77))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6945, 6944])).
% 2.50/2.00 tff(6947,plain,
% 2.50/2.00 (~node4(s77)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6946, 113, 6943])).
% 2.50/2.00 tff(6948,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6949,plain,
% 2.50/2.00 ((node4(s77) | (~until5(s77)) | xuntil6(s77)) <=> (xuntil6(s77) | node4(s77) | (~until5(s77)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6950,plain,
% 2.50/2.00 (((~![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))))),
% 2.50/2.00 inference(monotonicity,[status(thm)],[6949])).
% 2.50/2.00 tff(6951,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(transitivity,[status(thm)],[6950, 6948])).
% 2.50/2.00 tff(6952,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s77) | (~until5(s77)) | xuntil6(s77))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6953,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s77) | node4(s77) | (~until5(s77))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6952, 6951])).
% 2.50/2.00 tff(6954,plain,
% 2.50/2.00 (xuntil6(s77) | (~until5(s77))),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6953, 225, 6947])).
% 2.50/2.00 tff(6955,plain,
% 2.50/2.00 (~until5(s77)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6954, 6942])).
% 2.50/2.00 tff(6956,plain,
% 2.50/2.00 (((~![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))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6957,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s76, s77)) | (~xuntil6(s76)) | until5(s77))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6958,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s76, s77)) | (~xuntil6(s76)) | until5(s77)),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6957, 6956])).
% 2.50/2.00 tff(6959,plain,
% 2.50/2.00 ((~xuntil6(s76)) | until5(s77)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6958, 6044, 243])).
% 2.50/2.00 tff(6960,plain,
% 2.50/2.00 (~xuntil6(s76)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6959, 6955])).
% 2.50/2.00 tff(6961,plain,
% 2.50/2.00 (~always3(s76)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6052, 6943])).
% 2.50/2.00 tff(6962,plain,
% 2.50/2.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s76) | (~node4(s76)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s76) | (~node4(s76)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6963,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s76) | (~node4(s76)))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6964,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s76) | (~node4(s76))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6963, 6962])).
% 2.50/2.00 tff(6965,plain,
% 2.50/2.00 (~node4(s76)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6964, 113, 6961])).
% 2.50/2.00 tff(6966,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6967,plain,
% 2.50/2.00 ((node4(s76) | (~until5(s76)) | xuntil6(s76)) <=> (xuntil6(s76) | node4(s76) | (~until5(s76)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6968,plain,
% 2.50/2.00 (((~![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))))),
% 2.50/2.00 inference(monotonicity,[status(thm)],[6967])).
% 2.50/2.00 tff(6969,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(transitivity,[status(thm)],[6968, 6966])).
% 2.50/2.00 tff(6970,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s76) | (~until5(s76)) | xuntil6(s76))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6971,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s76) | node4(s76) | (~until5(s76))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6970, 6969])).
% 2.50/2.00 tff(6972,plain,
% 2.50/2.00 (xuntil6(s76) | (~until5(s76))),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6971, 225, 6965])).
% 2.50/2.00 tff(6973,plain,
% 2.50/2.00 (~until5(s76)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6972, 6960])).
% 2.50/2.00 tff(6974,plain,
% 2.50/2.00 (((~![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))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6975,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s75, s76)) | (~xuntil6(s75)) | until5(s76))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6976,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s75, s76)) | (~xuntil6(s75)) | until5(s76)),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6975, 6974])).
% 2.50/2.00 tff(6977,plain,
% 2.50/2.00 ((~xuntil6(s75)) | until5(s76)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6976, 6056, 243])).
% 2.50/2.00 tff(6978,plain,
% 2.50/2.00 (~xuntil6(s75)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6977, 6973])).
% 2.50/2.00 tff(6979,plain,
% 2.50/2.00 (~always3(s75)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6064, 6961])).
% 2.50/2.00 tff(6980,plain,
% 2.50/2.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s75) | (~node4(s75)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s75) | (~node4(s75)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6981,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s75) | (~node4(s75)))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6982,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s75) | (~node4(s75))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6981, 6980])).
% 2.50/2.00 tff(6983,plain,
% 2.50/2.00 (~node4(s75)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6982, 113, 6979])).
% 2.50/2.00 tff(6984,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6985,plain,
% 2.50/2.00 ((node4(s75) | (~until5(s75)) | xuntil6(s75)) <=> (xuntil6(s75) | node4(s75) | (~until5(s75)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6986,plain,
% 2.50/2.00 (((~![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))))),
% 2.50/2.00 inference(monotonicity,[status(thm)],[6985])).
% 2.50/2.00 tff(6987,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(transitivity,[status(thm)],[6986, 6984])).
% 2.50/2.00 tff(6988,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s75) | (~until5(s75)) | xuntil6(s75))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6989,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s75) | node4(s75) | (~until5(s75))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6988, 6987])).
% 2.50/2.00 tff(6990,plain,
% 2.50/2.00 (xuntil6(s75) | (~until5(s75))),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6989, 225, 6983])).
% 2.50/2.00 tff(6991,plain,
% 2.50/2.00 (~until5(s75)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6990, 6978])).
% 2.50/2.00 tff(6992,plain,
% 2.50/2.00 (((~![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))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6993,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s74, s75)) | (~xuntil6(s74)) | until5(s75))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(6994,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s74, s75)) | (~xuntil6(s74)) | until5(s75)),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6993, 6992])).
% 2.50/2.00 tff(6995,plain,
% 2.50/2.00 ((~xuntil6(s74)) | until5(s75)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6994, 6068, 243])).
% 2.50/2.00 tff(6996,plain,
% 2.50/2.00 (~xuntil6(s74)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6995, 6991])).
% 2.50/2.00 tff(6997,plain,
% 2.50/2.00 (~always3(s74)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6076, 6979])).
% 2.50/2.00 tff(6998,plain,
% 2.50/2.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s74) | (~node4(s74)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s74) | (~node4(s74)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(6999,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s74) | (~node4(s74)))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(7000,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s74) | (~node4(s74))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[6999, 6998])).
% 2.50/2.00 tff(7001,plain,
% 2.50/2.00 (~node4(s74)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[7000, 113, 6997])).
% 2.50/2.00 tff(7002,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(7003,plain,
% 2.50/2.00 ((node4(s74) | (~until5(s74)) | xuntil6(s74)) <=> (xuntil6(s74) | node4(s74) | (~until5(s74)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(7004,plain,
% 2.50/2.00 (((~![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))))),
% 2.50/2.00 inference(monotonicity,[status(thm)],[7003])).
% 2.50/2.00 tff(7005,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(transitivity,[status(thm)],[7004, 7002])).
% 2.50/2.00 tff(7006,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s74) | (~until5(s74)) | xuntil6(s74))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(7007,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s74) | node4(s74) | (~until5(s74))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[7006, 7005])).
% 2.50/2.00 tff(7008,plain,
% 2.50/2.00 (xuntil6(s74) | (~until5(s74))),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[7007, 225, 7001])).
% 2.50/2.00 tff(7009,plain,
% 2.50/2.00 (~until5(s74)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[7008, 6996])).
% 2.50/2.00 tff(7010,plain,
% 2.50/2.00 (((~![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))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(7011,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s73, s74)) | (~xuntil6(s73)) | until5(s74))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(7012,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s73, s74)) | (~xuntil6(s73)) | until5(s74)),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[7011, 7010])).
% 2.50/2.00 tff(7013,plain,
% 2.50/2.00 ((~xuntil6(s73)) | until5(s74)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[7012, 6080, 243])).
% 2.50/2.00 tff(7014,plain,
% 2.50/2.00 (~xuntil6(s73)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[7013, 7009])).
% 2.50/2.00 tff(7015,plain,
% 2.50/2.00 (~always3(s73)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6088, 6997])).
% 2.50/2.00 tff(7016,plain,
% 2.50/2.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s73) | (~node4(s73)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s73) | (~node4(s73)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(7017,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s73) | (~node4(s73)))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(7018,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s73) | (~node4(s73))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[7017, 7016])).
% 2.50/2.00 tff(7019,plain,
% 2.50/2.00 (~node4(s73)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[7018, 113, 7015])).
% 2.50/2.00 tff(7020,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(7021,plain,
% 2.50/2.00 ((node4(s73) | (~until5(s73)) | xuntil6(s73)) <=> (xuntil6(s73) | node4(s73) | (~until5(s73)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(7022,plain,
% 2.50/2.00 (((~![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))))),
% 2.50/2.00 inference(monotonicity,[status(thm)],[7021])).
% 2.50/2.00 tff(7023,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.00 inference(transitivity,[status(thm)],[7022, 7020])).
% 2.50/2.00 tff(7024,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s73) | (~until5(s73)) | xuntil6(s73))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(7025,plain,
% 2.50/2.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s73) | node4(s73) | (~until5(s73))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[7024, 7023])).
% 2.50/2.00 tff(7026,plain,
% 2.50/2.00 (xuntil6(s73) | (~until5(s73))),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[7025, 225, 7019])).
% 2.50/2.00 tff(7027,plain,
% 2.50/2.00 (~until5(s73)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[7026, 7014])).
% 2.50/2.00 tff(7028,plain,
% 2.50/2.00 (((~![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))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(7029,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s72, s73)) | (~xuntil6(s72)) | until5(s73))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(7030,plain,
% 2.50/2.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s72, s73)) | (~xuntil6(s72)) | until5(s73)),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[7029, 7028])).
% 2.50/2.00 tff(7031,plain,
% 2.50/2.00 ((~xuntil6(s72)) | until5(s73)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[7030, 6092, 243])).
% 2.50/2.00 tff(7032,plain,
% 2.50/2.00 (~xuntil6(s72)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[7031, 7027])).
% 2.50/2.00 tff(7033,plain,
% 2.50/2.00 (~always3(s72)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[6100, 7015])).
% 2.50/2.00 tff(7034,plain,
% 2.50/2.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s72) | (~node4(s72)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s72) | (~node4(s72)))),
% 2.50/2.00 inference(rewrite,[status(thm)],[])).
% 2.50/2.00 tff(7035,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s72) | (~node4(s72)))),
% 2.50/2.00 inference(quant_inst,[status(thm)],[])).
% 2.50/2.00 tff(7036,plain,
% 2.50/2.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s72) | (~node4(s72))),
% 2.50/2.00 inference(modus_ponens,[status(thm)],[7035, 7034])).
% 2.50/2.00 tff(7037,plain,
% 2.50/2.00 (~node4(s72)),
% 2.50/2.00 inference(unit_resolution,[status(thm)],[7036, 113, 7033])).
% 2.50/2.00 tff(7038,plain,
% 2.50/2.00 (((~![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)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7039,plain,
% 2.50/2.01 ((node4(s72) | (~until5(s72)) | xuntil6(s72)) <=> (xuntil6(s72) | node4(s72) | (~until5(s72)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7040,plain,
% 2.50/2.01 (((~![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))))),
% 2.50/2.01 inference(monotonicity,[status(thm)],[7039])).
% 2.50/2.01 tff(7041,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(transitivity,[status(thm)],[7040, 7038])).
% 2.50/2.01 tff(7042,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s72) | (~until5(s72)) | xuntil6(s72))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7043,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s72) | node4(s72) | (~until5(s72))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7042, 7041])).
% 2.50/2.01 tff(7044,plain,
% 2.50/2.01 (xuntil6(s72) | (~until5(s72))),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7043, 225, 7037])).
% 2.50/2.01 tff(7045,plain,
% 2.50/2.01 (~until5(s72)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7044, 7032])).
% 2.50/2.01 tff(7046,plain,
% 2.50/2.01 (((~![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))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7047,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s71, s72)) | (~xuntil6(s71)) | until5(s72))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7048,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s71, s72)) | (~xuntil6(s71)) | until5(s72)),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7047, 7046])).
% 2.50/2.01 tff(7049,plain,
% 2.50/2.01 ((~xuntil6(s71)) | until5(s72)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7048, 6104, 243])).
% 2.50/2.01 tff(7050,plain,
% 2.50/2.01 (~xuntil6(s71)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7049, 7045])).
% 2.50/2.01 tff(7051,plain,
% 2.50/2.01 (~always3(s71)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6112, 7033])).
% 2.50/2.01 tff(7052,plain,
% 2.50/2.01 (~always3(s70)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6124, 7051])).
% 2.50/2.01 tff(7053,plain,
% 2.50/2.01 (~always3(s69)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6136, 7052])).
% 2.50/2.01 tff(7054,plain,
% 2.50/2.01 (~always3(s68)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6148, 7053])).
% 2.50/2.01 tff(7055,plain,
% 2.50/2.01 (~always3(s67)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6160, 7054])).
% 2.50/2.01 tff(7056,plain,
% 2.50/2.01 (~always3(s66)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6172, 7055])).
% 2.50/2.01 tff(7057,plain,
% 2.50/2.01 (~always3(s65)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6184, 7056])).
% 2.50/2.01 tff(7058,plain,
% 2.50/2.01 (~always3(s64)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6196, 7057])).
% 2.50/2.01 tff(7059,plain,
% 2.50/2.01 (~always3(s63)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6208, 7058])).
% 2.50/2.01 tff(7060,plain,
% 2.50/2.01 (~always3(s62)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6220, 7059])).
% 2.50/2.01 tff(7061,plain,
% 2.50/2.01 (~always3(s61)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6232, 7060])).
% 2.50/2.01 tff(7062,plain,
% 2.50/2.01 (~always3(s60)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6244, 7061])).
% 2.50/2.01 tff(7063,plain,
% 2.50/2.01 (~always3(s59)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6256, 7062])).
% 2.50/2.01 tff(7064,plain,
% 2.50/2.01 (~always3(s58)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6268, 7063])).
% 2.50/2.01 tff(7065,plain,
% 2.50/2.01 (~always3(s57)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6280, 7064])).
% 2.50/2.01 tff(7066,plain,
% 2.50/2.01 (~always3(s56)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6292, 7065])).
% 2.50/2.01 tff(7067,plain,
% 2.50/2.01 (~always3(s55)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6304, 7066])).
% 2.50/2.01 tff(7068,plain,
% 2.50/2.01 (~always3(s54)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6316, 7067])).
% 2.50/2.01 tff(7069,plain,
% 2.50/2.01 (~always3(s53)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6328, 7068])).
% 2.50/2.01 tff(7070,plain,
% 2.50/2.01 (~always3(s52)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6340, 7069])).
% 2.50/2.01 tff(7071,plain,
% 2.50/2.01 (~always3(s51)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6352, 7070])).
% 2.50/2.01 tff(7072,plain,
% 2.50/2.01 (~always3(s50)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6364, 7071])).
% 2.50/2.01 tff(7073,plain,
% 2.50/2.01 (~always3(s49)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6376, 7072])).
% 2.50/2.01 tff(7074,plain,
% 2.50/2.01 (~always3(s48)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6388, 7073])).
% 2.50/2.01 tff(7075,plain,
% 2.50/2.01 (~always3(s47)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6400, 7074])).
% 2.50/2.01 tff(7076,plain,
% 2.50/2.01 (~always3(s46)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6412, 7075])).
% 2.50/2.01 tff(7077,plain,
% 2.50/2.01 (~always3(s45)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6424, 7076])).
% 2.50/2.01 tff(7078,plain,
% 2.50/2.01 (~always3(s44)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[6436, 7077])).
% 2.50/2.01 tff(7079,plain,
% 2.50/2.01 (~always3(s43)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[81, 7078])).
% 2.50/2.01 tff(7080,plain,
% 2.50/2.01 (~always3(s42)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[93, 7079])).
% 2.50/2.01 tff(7081,plain,
% 2.50/2.01 (~always3(s41)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[105, 7080])).
% 2.50/2.01 tff(7082,plain,
% 2.50/2.01 (~always3(s40)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[137, 7081])).
% 2.50/2.01 tff(7083,plain,
% 2.50/2.01 (~node4(s40)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[125, 113, 7082])).
% 2.50/2.01 tff(7084,plain,
% 2.50/2.01 (~always3(s39)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[3143, 7082])).
% 2.50/2.01 tff(7085,plain,
% 2.50/2.01 (~node4(s39)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[3131, 113, 7084])).
% 2.50/2.01 tff(7086,assumption,(until5(s39)), introduced(assumption)).
% 2.50/2.01 tff(7087,plain,
% 2.50/2.01 (xuntil6(s39) | node4(s39)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[3166, 225, 7086])).
% 2.50/2.01 tff(7088,plain,
% 2.50/2.01 (xuntil6(s39)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7087, 7085])).
% 2.50/2.01 tff(7089,plain,
% 2.50/2.01 (until5(s40)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[3172, 7088])).
% 2.50/2.01 tff(7090,plain,
% 2.50/2.01 (xuntil6(s40)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[3179, 225, 7089, 7083])).
% 2.50/2.01 tff(7091,plain,
% 2.50/2.01 (until5(s41)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[3185, 7090])).
% 2.50/2.01 tff(7092,plain,
% 2.50/2.01 (~node4(s41)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[116, 113, 7081])).
% 2.50/2.01 tff(7093,plain,
% 2.50/2.01 (xuntil6(s41) | (~until5(s41))),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[3192, 225, 7092])).
% 2.50/2.01 tff(7094,plain,
% 2.50/2.01 (xuntil6(s41)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7093, 7091])).
% 2.50/2.01 tff(7095,plain,
% 2.50/2.01 (until5(s42)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[3198, 7094])).
% 2.50/2.01 tff(7096,plain,
% 2.50/2.01 (~node4(s42)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[3202, 113, 7080])).
% 2.50/2.01 tff(7097,plain,
% 2.50/2.01 (xuntil6(s42) | (~until5(s42))),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[3209, 225, 7096])).
% 2.50/2.01 tff(7098,plain,
% 2.50/2.01 (xuntil6(s42)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7097, 7095])).
% 2.50/2.01 tff(7099,plain,
% 2.50/2.01 (until5(s43)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[3214, 7098])).
% 2.50/2.01 tff(7100,plain,
% 2.50/2.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s43) | (~node4(s43)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s43) | (~node4(s43)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7101,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s43) | (~node4(s43)))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7102,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s43) | (~node4(s43))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7101, 7100])).
% 2.50/2.01 tff(7103,plain,
% 2.50/2.01 (~node4(s43)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7102, 113, 7079])).
% 2.50/2.01 tff(7104,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7105,plain,
% 2.50/2.01 ((node4(s43) | (~until5(s43)) | xuntil6(s43)) <=> (xuntil6(s43) | node4(s43) | (~until5(s43)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7106,plain,
% 2.50/2.01 (((~![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))))),
% 2.50/2.01 inference(monotonicity,[status(thm)],[7105])).
% 2.50/2.01 tff(7107,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(transitivity,[status(thm)],[7106, 7104])).
% 2.50/2.01 tff(7108,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s43) | (~until5(s43)) | xuntil6(s43))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7109,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s43) | node4(s43) | (~until5(s43))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7108, 7107])).
% 2.50/2.01 tff(7110,plain,
% 2.50/2.01 (xuntil6(s43) | (~until5(s43))),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7109, 225, 7103])).
% 2.50/2.01 tff(7111,plain,
% 2.50/2.01 (xuntil6(s43)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7110, 7099])).
% 2.50/2.01 tff(7112,plain,
% 2.50/2.01 (((~![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))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7113,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s43, s44)) | (~xuntil6(s43)) | until5(s44))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7114,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s43, s44)) | (~xuntil6(s43)) | until5(s44)),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7113, 7112])).
% 2.50/2.01 tff(7115,plain,
% 2.50/2.01 ((~xuntil6(s43)) | until5(s44)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7114, 73, 243])).
% 2.50/2.01 tff(7116,plain,
% 2.50/2.01 (until5(s44)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7115, 7111])).
% 2.50/2.01 tff(7117,plain,
% 2.50/2.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s44) | (~node4(s44)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s44) | (~node4(s44)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7118,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s44) | (~node4(s44)))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7119,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s44) | (~node4(s44))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7118, 7117])).
% 2.50/2.01 tff(7120,plain,
% 2.50/2.01 (~node4(s44)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7119, 113, 7078])).
% 2.50/2.01 tff(7121,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7122,plain,
% 2.50/2.01 ((node4(s44) | (~until5(s44)) | xuntil6(s44)) <=> (xuntil6(s44) | node4(s44) | (~until5(s44)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7123,plain,
% 2.50/2.01 (((~![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))))),
% 2.50/2.01 inference(monotonicity,[status(thm)],[7122])).
% 2.50/2.01 tff(7124,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(transitivity,[status(thm)],[7123, 7121])).
% 2.50/2.01 tff(7125,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s44) | (~until5(s44)) | xuntil6(s44))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7126,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s44) | node4(s44) | (~until5(s44))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7125, 7124])).
% 2.50/2.01 tff(7127,plain,
% 2.50/2.01 (xuntil6(s44) | (~until5(s44))),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7126, 225, 7120])).
% 2.50/2.01 tff(7128,plain,
% 2.50/2.01 (xuntil6(s44)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7127, 7116])).
% 2.50/2.01 tff(7129,plain,
% 2.50/2.01 (((~![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))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7130,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s44, s45)) | (~xuntil6(s44)) | until5(s45))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7131,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s44, s45)) | (~xuntil6(s44)) | until5(s45)),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7130, 7129])).
% 2.50/2.01 tff(7132,plain,
% 2.50/2.01 ((~xuntil6(s44)) | until5(s45)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7131, 6428, 243])).
% 2.50/2.01 tff(7133,plain,
% 2.50/2.01 (until5(s45)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7132, 7128])).
% 2.50/2.01 tff(7134,plain,
% 2.50/2.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s45) | (~node4(s45)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s45) | (~node4(s45)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7135,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s45) | (~node4(s45)))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7136,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s45) | (~node4(s45))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7135, 7134])).
% 2.50/2.01 tff(7137,plain,
% 2.50/2.01 (~node4(s45)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7136, 113, 7077])).
% 2.50/2.01 tff(7138,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7139,plain,
% 2.50/2.01 ((node4(s45) | (~until5(s45)) | xuntil6(s45)) <=> (xuntil6(s45) | node4(s45) | (~until5(s45)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7140,plain,
% 2.50/2.01 (((~![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))))),
% 2.50/2.01 inference(monotonicity,[status(thm)],[7139])).
% 2.50/2.01 tff(7141,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(transitivity,[status(thm)],[7140, 7138])).
% 2.50/2.01 tff(7142,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s45) | (~until5(s45)) | xuntil6(s45))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7143,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s45) | node4(s45) | (~until5(s45))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7142, 7141])).
% 2.50/2.01 tff(7144,plain,
% 2.50/2.01 (xuntil6(s45) | (~until5(s45))),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7143, 225, 7137])).
% 2.50/2.01 tff(7145,plain,
% 2.50/2.01 (xuntil6(s45)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7144, 7133])).
% 2.50/2.01 tff(7146,plain,
% 2.50/2.01 (((~![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))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7147,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s45, s46)) | (~xuntil6(s45)) | until5(s46))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7148,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s45, s46)) | (~xuntil6(s45)) | until5(s46)),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7147, 7146])).
% 2.50/2.01 tff(7149,plain,
% 2.50/2.01 ((~xuntil6(s45)) | until5(s46)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7148, 6416, 243])).
% 2.50/2.01 tff(7150,plain,
% 2.50/2.01 (until5(s46)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7149, 7145])).
% 2.50/2.01 tff(7151,plain,
% 2.50/2.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s46) | (~node4(s46)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s46) | (~node4(s46)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7152,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s46) | (~node4(s46)))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7153,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s46) | (~node4(s46))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7152, 7151])).
% 2.50/2.01 tff(7154,plain,
% 2.50/2.01 (~node4(s46)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7153, 113, 7076])).
% 2.50/2.01 tff(7155,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7156,plain,
% 2.50/2.01 ((node4(s46) | (~until5(s46)) | xuntil6(s46)) <=> (xuntil6(s46) | node4(s46) | (~until5(s46)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7157,plain,
% 2.50/2.01 (((~![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))))),
% 2.50/2.01 inference(monotonicity,[status(thm)],[7156])).
% 2.50/2.01 tff(7158,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(transitivity,[status(thm)],[7157, 7155])).
% 2.50/2.01 tff(7159,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s46) | (~until5(s46)) | xuntil6(s46))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7160,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s46) | node4(s46) | (~until5(s46))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7159, 7158])).
% 2.50/2.01 tff(7161,plain,
% 2.50/2.01 (xuntil6(s46) | (~until5(s46))),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7160, 225, 7154])).
% 2.50/2.01 tff(7162,plain,
% 2.50/2.01 (xuntil6(s46)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7161, 7150])).
% 2.50/2.01 tff(7163,plain,
% 2.50/2.01 (((~![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))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7164,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s46, s47)) | (~xuntil6(s46)) | until5(s47))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7165,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s46, s47)) | (~xuntil6(s46)) | until5(s47)),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7164, 7163])).
% 2.50/2.01 tff(7166,plain,
% 2.50/2.01 ((~xuntil6(s46)) | until5(s47)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7165, 6404, 243])).
% 2.50/2.01 tff(7167,plain,
% 2.50/2.01 (until5(s47)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7166, 7162])).
% 2.50/2.01 tff(7168,plain,
% 2.50/2.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s47) | (~node4(s47)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s47) | (~node4(s47)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7169,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s47) | (~node4(s47)))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7170,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s47) | (~node4(s47))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7169, 7168])).
% 2.50/2.01 tff(7171,plain,
% 2.50/2.01 (~node4(s47)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7170, 113, 7075])).
% 2.50/2.01 tff(7172,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7173,plain,
% 2.50/2.01 ((node4(s47) | (~until5(s47)) | xuntil6(s47)) <=> (xuntil6(s47) | node4(s47) | (~until5(s47)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7174,plain,
% 2.50/2.01 (((~![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))))),
% 2.50/2.01 inference(monotonicity,[status(thm)],[7173])).
% 2.50/2.01 tff(7175,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(transitivity,[status(thm)],[7174, 7172])).
% 2.50/2.01 tff(7176,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s47) | (~until5(s47)) | xuntil6(s47))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7177,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s47) | node4(s47) | (~until5(s47))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7176, 7175])).
% 2.50/2.01 tff(7178,plain,
% 2.50/2.01 (xuntil6(s47) | (~until5(s47))),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7177, 225, 7171])).
% 2.50/2.01 tff(7179,plain,
% 2.50/2.01 (xuntil6(s47)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7178, 7167])).
% 2.50/2.01 tff(7180,plain,
% 2.50/2.01 (((~![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))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7181,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s47, s48)) | (~xuntil6(s47)) | until5(s48))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7182,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s47, s48)) | (~xuntil6(s47)) | until5(s48)),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7181, 7180])).
% 2.50/2.01 tff(7183,plain,
% 2.50/2.01 ((~xuntil6(s47)) | until5(s48)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7182, 6392, 243])).
% 2.50/2.01 tff(7184,plain,
% 2.50/2.01 (until5(s48)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7183, 7179])).
% 2.50/2.01 tff(7185,plain,
% 2.50/2.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s48) | (~node4(s48)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s48) | (~node4(s48)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7186,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s48) | (~node4(s48)))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7187,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s48) | (~node4(s48))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7186, 7185])).
% 2.50/2.01 tff(7188,plain,
% 2.50/2.01 (~node4(s48)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7187, 113, 7074])).
% 2.50/2.01 tff(7189,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7190,plain,
% 2.50/2.01 ((node4(s48) | (~until5(s48)) | xuntil6(s48)) <=> (xuntil6(s48) | node4(s48) | (~until5(s48)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7191,plain,
% 2.50/2.01 (((~![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))))),
% 2.50/2.01 inference(monotonicity,[status(thm)],[7190])).
% 2.50/2.01 tff(7192,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(transitivity,[status(thm)],[7191, 7189])).
% 2.50/2.01 tff(7193,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s48) | (~until5(s48)) | xuntil6(s48))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7194,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s48) | node4(s48) | (~until5(s48))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7193, 7192])).
% 2.50/2.01 tff(7195,plain,
% 2.50/2.01 (xuntil6(s48) | (~until5(s48))),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7194, 225, 7188])).
% 2.50/2.01 tff(7196,plain,
% 2.50/2.01 (xuntil6(s48)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7195, 7184])).
% 2.50/2.01 tff(7197,plain,
% 2.50/2.01 (((~![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))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7198,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s48, s49)) | (~xuntil6(s48)) | until5(s49))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7199,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s48, s49)) | (~xuntil6(s48)) | until5(s49)),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7198, 7197])).
% 2.50/2.01 tff(7200,plain,
% 2.50/2.01 ((~xuntil6(s48)) | until5(s49)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7199, 6380, 243])).
% 2.50/2.01 tff(7201,plain,
% 2.50/2.01 (until5(s49)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7200, 7196])).
% 2.50/2.01 tff(7202,plain,
% 2.50/2.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s49) | (~node4(s49)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s49) | (~node4(s49)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7203,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s49) | (~node4(s49)))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7204,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s49) | (~node4(s49))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7203, 7202])).
% 2.50/2.01 tff(7205,plain,
% 2.50/2.01 (~node4(s49)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7204, 113, 7073])).
% 2.50/2.01 tff(7206,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7207,plain,
% 2.50/2.01 ((node4(s49) | (~until5(s49)) | xuntil6(s49)) <=> (xuntil6(s49) | node4(s49) | (~until5(s49)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7208,plain,
% 2.50/2.01 (((~![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))))),
% 2.50/2.01 inference(monotonicity,[status(thm)],[7207])).
% 2.50/2.01 tff(7209,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(transitivity,[status(thm)],[7208, 7206])).
% 2.50/2.01 tff(7210,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s49) | (~until5(s49)) | xuntil6(s49))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7211,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s49) | node4(s49) | (~until5(s49))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7210, 7209])).
% 2.50/2.01 tff(7212,plain,
% 2.50/2.01 (xuntil6(s49) | (~until5(s49))),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7211, 225, 7205])).
% 2.50/2.01 tff(7213,plain,
% 2.50/2.01 (xuntil6(s49)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7212, 7201])).
% 2.50/2.01 tff(7214,plain,
% 2.50/2.01 (((~![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))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7215,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s49, s50)) | (~xuntil6(s49)) | until5(s50))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7216,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s49, s50)) | (~xuntil6(s49)) | until5(s50)),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7215, 7214])).
% 2.50/2.01 tff(7217,plain,
% 2.50/2.01 ((~xuntil6(s49)) | until5(s50)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7216, 6368, 243])).
% 2.50/2.01 tff(7218,plain,
% 2.50/2.01 (until5(s50)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7217, 7213])).
% 2.50/2.01 tff(7219,plain,
% 2.50/2.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s50) | (~node4(s50)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s50) | (~node4(s50)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7220,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s50) | (~node4(s50)))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7221,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s50) | (~node4(s50))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7220, 7219])).
% 2.50/2.01 tff(7222,plain,
% 2.50/2.01 (~node4(s50)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7221, 113, 7072])).
% 2.50/2.01 tff(7223,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7224,plain,
% 2.50/2.01 ((node4(s50) | (~until5(s50)) | xuntil6(s50)) <=> (xuntil6(s50) | node4(s50) | (~until5(s50)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7225,plain,
% 2.50/2.01 (((~![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))))),
% 2.50/2.01 inference(monotonicity,[status(thm)],[7224])).
% 2.50/2.01 tff(7226,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(transitivity,[status(thm)],[7225, 7223])).
% 2.50/2.01 tff(7227,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s50) | (~until5(s50)) | xuntil6(s50))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7228,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s50) | node4(s50) | (~until5(s50))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7227, 7226])).
% 2.50/2.01 tff(7229,plain,
% 2.50/2.01 (xuntil6(s50) | (~until5(s50))),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7228, 225, 7222])).
% 2.50/2.01 tff(7230,plain,
% 2.50/2.01 (xuntil6(s50)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7229, 7218])).
% 2.50/2.01 tff(7231,plain,
% 2.50/2.01 (((~![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))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7232,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s50, s51)) | (~xuntil6(s50)) | until5(s51))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7233,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s50, s51)) | (~xuntil6(s50)) | until5(s51)),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7232, 7231])).
% 2.50/2.01 tff(7234,plain,
% 2.50/2.01 ((~xuntil6(s50)) | until5(s51)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7233, 6356, 243])).
% 2.50/2.01 tff(7235,plain,
% 2.50/2.01 (until5(s51)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7234, 7230])).
% 2.50/2.01 tff(7236,plain,
% 2.50/2.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s51) | (~node4(s51)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s51) | (~node4(s51)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7237,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s51) | (~node4(s51)))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7238,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s51) | (~node4(s51))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7237, 7236])).
% 2.50/2.01 tff(7239,plain,
% 2.50/2.01 (~node4(s51)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7238, 113, 7071])).
% 2.50/2.01 tff(7240,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7241,plain,
% 2.50/2.01 ((node4(s51) | (~until5(s51)) | xuntil6(s51)) <=> (xuntil6(s51) | node4(s51) | (~until5(s51)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7242,plain,
% 2.50/2.01 (((~![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))))),
% 2.50/2.01 inference(monotonicity,[status(thm)],[7241])).
% 2.50/2.01 tff(7243,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(transitivity,[status(thm)],[7242, 7240])).
% 2.50/2.01 tff(7244,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s51) | (~until5(s51)) | xuntil6(s51))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7245,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s51) | node4(s51) | (~until5(s51))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7244, 7243])).
% 2.50/2.01 tff(7246,plain,
% 2.50/2.01 (xuntil6(s51) | (~until5(s51))),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7245, 225, 7239])).
% 2.50/2.01 tff(7247,plain,
% 2.50/2.01 (xuntil6(s51)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7246, 7235])).
% 2.50/2.01 tff(7248,plain,
% 2.50/2.01 (((~![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))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7249,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s51, s52)) | (~xuntil6(s51)) | until5(s52))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7250,plain,
% 2.50/2.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s51, s52)) | (~xuntil6(s51)) | until5(s52)),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7249, 7248])).
% 2.50/2.01 tff(7251,plain,
% 2.50/2.01 ((~xuntil6(s51)) | until5(s52)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7250, 6344, 243])).
% 2.50/2.01 tff(7252,plain,
% 2.50/2.01 (until5(s52)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7251, 7247])).
% 2.50/2.01 tff(7253,plain,
% 2.50/2.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s52) | (~node4(s52)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s52) | (~node4(s52)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7254,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s52) | (~node4(s52)))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7255,plain,
% 2.50/2.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s52) | (~node4(s52))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7254, 7253])).
% 2.50/2.01 tff(7256,plain,
% 2.50/2.01 (~node4(s52)),
% 2.50/2.01 inference(unit_resolution,[status(thm)],[7255, 113, 7070])).
% 2.50/2.01 tff(7257,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7258,plain,
% 2.50/2.01 ((node4(s52) | (~until5(s52)) | xuntil6(s52)) <=> (xuntil6(s52) | node4(s52) | (~until5(s52)))),
% 2.50/2.01 inference(rewrite,[status(thm)],[])).
% 2.50/2.01 tff(7259,plain,
% 2.50/2.01 (((~![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))))),
% 2.50/2.01 inference(monotonicity,[status(thm)],[7258])).
% 2.50/2.01 tff(7260,plain,
% 2.50/2.01 (((~![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)))),
% 2.50/2.01 inference(transitivity,[status(thm)],[7259, 7257])).
% 2.50/2.01 tff(7261,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s52) | (~until5(s52)) | xuntil6(s52))),
% 2.50/2.01 inference(quant_inst,[status(thm)],[])).
% 2.50/2.01 tff(7262,plain,
% 2.50/2.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s52) | node4(s52) | (~until5(s52))),
% 2.50/2.01 inference(modus_ponens,[status(thm)],[7261, 7260])).
% 2.50/2.01 tff(7263,plain,
% 2.50/2.02 (xuntil6(s52) | (~until5(s52))),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7262, 225, 7256])).
% 2.50/2.02 tff(7264,plain,
% 2.50/2.02 (xuntil6(s52)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7263, 7252])).
% 2.50/2.02 tff(7265,plain,
% 2.50/2.02 (((~![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))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7266,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s52, s53)) | (~xuntil6(s52)) | until5(s53))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7267,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s52, s53)) | (~xuntil6(s52)) | until5(s53)),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7266, 7265])).
% 2.50/2.02 tff(7268,plain,
% 2.50/2.02 ((~xuntil6(s52)) | until5(s53)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7267, 6332, 243])).
% 2.50/2.02 tff(7269,plain,
% 2.50/2.02 (until5(s53)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7268, 7264])).
% 2.50/2.02 tff(7270,plain,
% 2.50/2.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s53) | (~node4(s53)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s53) | (~node4(s53)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7271,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s53) | (~node4(s53)))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7272,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s53) | (~node4(s53))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7271, 7270])).
% 2.50/2.02 tff(7273,plain,
% 2.50/2.02 (~node4(s53)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7272, 113, 7069])).
% 2.50/2.02 tff(7274,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7275,plain,
% 2.50/2.02 ((node4(s53) | (~until5(s53)) | xuntil6(s53)) <=> (xuntil6(s53) | node4(s53) | (~until5(s53)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7276,plain,
% 2.50/2.02 (((~![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))))),
% 2.50/2.02 inference(monotonicity,[status(thm)],[7275])).
% 2.50/2.02 tff(7277,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(transitivity,[status(thm)],[7276, 7274])).
% 2.50/2.02 tff(7278,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s53) | (~until5(s53)) | xuntil6(s53))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7279,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s53) | node4(s53) | (~until5(s53))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7278, 7277])).
% 2.50/2.02 tff(7280,plain,
% 2.50/2.02 (xuntil6(s53) | (~until5(s53))),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7279, 225, 7273])).
% 2.50/2.02 tff(7281,plain,
% 2.50/2.02 (xuntil6(s53)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7280, 7269])).
% 2.50/2.02 tff(7282,plain,
% 2.50/2.02 (((~![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))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7283,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s53, s54)) | (~xuntil6(s53)) | until5(s54))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7284,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s53, s54)) | (~xuntil6(s53)) | until5(s54)),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7283, 7282])).
% 2.50/2.02 tff(7285,plain,
% 2.50/2.02 ((~xuntil6(s53)) | until5(s54)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7284, 6320, 243])).
% 2.50/2.02 tff(7286,plain,
% 2.50/2.02 (until5(s54)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7285, 7281])).
% 2.50/2.02 tff(7287,plain,
% 2.50/2.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s54) | (~node4(s54)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s54) | (~node4(s54)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7288,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s54) | (~node4(s54)))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7289,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s54) | (~node4(s54))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7288, 7287])).
% 2.50/2.02 tff(7290,plain,
% 2.50/2.02 (~node4(s54)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7289, 113, 7068])).
% 2.50/2.02 tff(7291,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7292,plain,
% 2.50/2.02 ((node4(s54) | (~until5(s54)) | xuntil6(s54)) <=> (xuntil6(s54) | node4(s54) | (~until5(s54)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7293,plain,
% 2.50/2.02 (((~![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))))),
% 2.50/2.02 inference(monotonicity,[status(thm)],[7292])).
% 2.50/2.02 tff(7294,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(transitivity,[status(thm)],[7293, 7291])).
% 2.50/2.02 tff(7295,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s54) | (~until5(s54)) | xuntil6(s54))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7296,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s54) | node4(s54) | (~until5(s54))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7295, 7294])).
% 2.50/2.02 tff(7297,plain,
% 2.50/2.02 (xuntil6(s54) | (~until5(s54))),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7296, 225, 7290])).
% 2.50/2.02 tff(7298,plain,
% 2.50/2.02 (xuntil6(s54)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7297, 7286])).
% 2.50/2.02 tff(7299,plain,
% 2.50/2.02 (((~![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))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7300,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s54, s55)) | (~xuntil6(s54)) | until5(s55))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7301,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s54, s55)) | (~xuntil6(s54)) | until5(s55)),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7300, 7299])).
% 2.50/2.02 tff(7302,plain,
% 2.50/2.02 ((~xuntil6(s54)) | until5(s55)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7301, 6308, 243])).
% 2.50/2.02 tff(7303,plain,
% 2.50/2.02 (until5(s55)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7302, 7298])).
% 2.50/2.02 tff(7304,plain,
% 2.50/2.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s55) | (~node4(s55)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s55) | (~node4(s55)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7305,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s55) | (~node4(s55)))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7306,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s55) | (~node4(s55))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7305, 7304])).
% 2.50/2.02 tff(7307,plain,
% 2.50/2.02 (~node4(s55)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7306, 113, 7067])).
% 2.50/2.02 tff(7308,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7309,plain,
% 2.50/2.02 ((node4(s55) | (~until5(s55)) | xuntil6(s55)) <=> (xuntil6(s55) | node4(s55) | (~until5(s55)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7310,plain,
% 2.50/2.02 (((~![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))))),
% 2.50/2.02 inference(monotonicity,[status(thm)],[7309])).
% 2.50/2.02 tff(7311,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(transitivity,[status(thm)],[7310, 7308])).
% 2.50/2.02 tff(7312,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s55) | (~until5(s55)) | xuntil6(s55))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7313,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s55) | node4(s55) | (~until5(s55))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7312, 7311])).
% 2.50/2.02 tff(7314,plain,
% 2.50/2.02 (xuntil6(s55) | (~until5(s55))),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7313, 225, 7307])).
% 2.50/2.02 tff(7315,plain,
% 2.50/2.02 (xuntil6(s55)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7314, 7303])).
% 2.50/2.02 tff(7316,plain,
% 2.50/2.02 (((~![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))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7317,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s55, s56)) | (~xuntil6(s55)) | until5(s56))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7318,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s55, s56)) | (~xuntil6(s55)) | until5(s56)),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7317, 7316])).
% 2.50/2.02 tff(7319,plain,
% 2.50/2.02 ((~xuntil6(s55)) | until5(s56)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7318, 6296, 243])).
% 2.50/2.02 tff(7320,plain,
% 2.50/2.02 (until5(s56)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7319, 7315])).
% 2.50/2.02 tff(7321,plain,
% 2.50/2.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s56) | (~node4(s56)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s56) | (~node4(s56)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7322,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s56) | (~node4(s56)))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7323,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s56) | (~node4(s56))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7322, 7321])).
% 2.50/2.02 tff(7324,plain,
% 2.50/2.02 (~node4(s56)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7323, 113, 7066])).
% 2.50/2.02 tff(7325,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7326,plain,
% 2.50/2.02 ((node4(s56) | (~until5(s56)) | xuntil6(s56)) <=> (xuntil6(s56) | node4(s56) | (~until5(s56)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7327,plain,
% 2.50/2.02 (((~![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))))),
% 2.50/2.02 inference(monotonicity,[status(thm)],[7326])).
% 2.50/2.02 tff(7328,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(transitivity,[status(thm)],[7327, 7325])).
% 2.50/2.02 tff(7329,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s56) | (~until5(s56)) | xuntil6(s56))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7330,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s56) | node4(s56) | (~until5(s56))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7329, 7328])).
% 2.50/2.02 tff(7331,plain,
% 2.50/2.02 (xuntil6(s56) | (~until5(s56))),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7330, 225, 7324])).
% 2.50/2.02 tff(7332,plain,
% 2.50/2.02 (xuntil6(s56)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7331, 7320])).
% 2.50/2.02 tff(7333,plain,
% 2.50/2.02 (((~![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))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7334,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s56, s57)) | (~xuntil6(s56)) | until5(s57))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7335,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s56, s57)) | (~xuntil6(s56)) | until5(s57)),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7334, 7333])).
% 2.50/2.02 tff(7336,plain,
% 2.50/2.02 ((~xuntil6(s56)) | until5(s57)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7335, 6284, 243])).
% 2.50/2.02 tff(7337,plain,
% 2.50/2.02 (until5(s57)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7336, 7332])).
% 2.50/2.02 tff(7338,plain,
% 2.50/2.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s57) | (~node4(s57)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s57) | (~node4(s57)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7339,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s57) | (~node4(s57)))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7340,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s57) | (~node4(s57))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7339, 7338])).
% 2.50/2.02 tff(7341,plain,
% 2.50/2.02 (~node4(s57)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7340, 113, 7065])).
% 2.50/2.02 tff(7342,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7343,plain,
% 2.50/2.02 ((node4(s57) | (~until5(s57)) | xuntil6(s57)) <=> (xuntil6(s57) | node4(s57) | (~until5(s57)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7344,plain,
% 2.50/2.02 (((~![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))))),
% 2.50/2.02 inference(monotonicity,[status(thm)],[7343])).
% 2.50/2.02 tff(7345,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(transitivity,[status(thm)],[7344, 7342])).
% 2.50/2.02 tff(7346,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s57) | (~until5(s57)) | xuntil6(s57))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7347,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s57) | node4(s57) | (~until5(s57))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7346, 7345])).
% 2.50/2.02 tff(7348,plain,
% 2.50/2.02 (xuntil6(s57) | (~until5(s57))),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7347, 225, 7341])).
% 2.50/2.02 tff(7349,plain,
% 2.50/2.02 (xuntil6(s57)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7348, 7337])).
% 2.50/2.02 tff(7350,plain,
% 2.50/2.02 (((~![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))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7351,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s57, s58)) | (~xuntil6(s57)) | until5(s58))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7352,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s57, s58)) | (~xuntil6(s57)) | until5(s58)),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7351, 7350])).
% 2.50/2.02 tff(7353,plain,
% 2.50/2.02 ((~xuntil6(s57)) | until5(s58)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7352, 6272, 243])).
% 2.50/2.02 tff(7354,plain,
% 2.50/2.02 (until5(s58)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7353, 7349])).
% 2.50/2.02 tff(7355,plain,
% 2.50/2.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s58) | (~node4(s58)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s58) | (~node4(s58)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7356,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s58) | (~node4(s58)))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7357,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s58) | (~node4(s58))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7356, 7355])).
% 2.50/2.02 tff(7358,plain,
% 2.50/2.02 (~node4(s58)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7357, 113, 7064])).
% 2.50/2.02 tff(7359,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7360,plain,
% 2.50/2.02 ((node4(s58) | (~until5(s58)) | xuntil6(s58)) <=> (xuntil6(s58) | node4(s58) | (~until5(s58)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7361,plain,
% 2.50/2.02 (((~![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))))),
% 2.50/2.02 inference(monotonicity,[status(thm)],[7360])).
% 2.50/2.02 tff(7362,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(transitivity,[status(thm)],[7361, 7359])).
% 2.50/2.02 tff(7363,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s58) | (~until5(s58)) | xuntil6(s58))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7364,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s58) | node4(s58) | (~until5(s58))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7363, 7362])).
% 2.50/2.02 tff(7365,plain,
% 2.50/2.02 (xuntil6(s58) | (~until5(s58))),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7364, 225, 7358])).
% 2.50/2.02 tff(7366,plain,
% 2.50/2.02 (xuntil6(s58)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7365, 7354])).
% 2.50/2.02 tff(7367,plain,
% 2.50/2.02 (((~![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))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7368,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s58, s59)) | (~xuntil6(s58)) | until5(s59))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7369,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s58, s59)) | (~xuntil6(s58)) | until5(s59)),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7368, 7367])).
% 2.50/2.02 tff(7370,plain,
% 2.50/2.02 ((~xuntil6(s58)) | until5(s59)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7369, 6260, 243])).
% 2.50/2.02 tff(7371,plain,
% 2.50/2.02 (until5(s59)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7370, 7366])).
% 2.50/2.02 tff(7372,plain,
% 2.50/2.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s59) | (~node4(s59)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s59) | (~node4(s59)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7373,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s59) | (~node4(s59)))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7374,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s59) | (~node4(s59))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7373, 7372])).
% 2.50/2.02 tff(7375,plain,
% 2.50/2.02 (~node4(s59)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7374, 113, 7063])).
% 2.50/2.02 tff(7376,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7377,plain,
% 2.50/2.02 ((node4(s59) | (~until5(s59)) | xuntil6(s59)) <=> (xuntil6(s59) | node4(s59) | (~until5(s59)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7378,plain,
% 2.50/2.02 (((~![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))))),
% 2.50/2.02 inference(monotonicity,[status(thm)],[7377])).
% 2.50/2.02 tff(7379,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(transitivity,[status(thm)],[7378, 7376])).
% 2.50/2.02 tff(7380,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s59) | (~until5(s59)) | xuntil6(s59))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7381,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s59) | node4(s59) | (~until5(s59))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7380, 7379])).
% 2.50/2.02 tff(7382,plain,
% 2.50/2.02 (xuntil6(s59) | (~until5(s59))),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7381, 225, 7375])).
% 2.50/2.02 tff(7383,plain,
% 2.50/2.02 (xuntil6(s59)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7382, 7371])).
% 2.50/2.02 tff(7384,plain,
% 2.50/2.02 (((~![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))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7385,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s59, s60)) | (~xuntil6(s59)) | until5(s60))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7386,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s59, s60)) | (~xuntil6(s59)) | until5(s60)),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7385, 7384])).
% 2.50/2.02 tff(7387,plain,
% 2.50/2.02 ((~xuntil6(s59)) | until5(s60)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7386, 6248, 243])).
% 2.50/2.02 tff(7388,plain,
% 2.50/2.02 (until5(s60)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7387, 7383])).
% 2.50/2.02 tff(7389,plain,
% 2.50/2.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s60) | (~node4(s60)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s60) | (~node4(s60)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7390,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s60) | (~node4(s60)))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7391,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s60) | (~node4(s60))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7390, 7389])).
% 2.50/2.02 tff(7392,plain,
% 2.50/2.02 (~node4(s60)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7391, 113, 7062])).
% 2.50/2.02 tff(7393,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7394,plain,
% 2.50/2.02 ((node4(s60) | (~until5(s60)) | xuntil6(s60)) <=> (xuntil6(s60) | node4(s60) | (~until5(s60)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7395,plain,
% 2.50/2.02 (((~![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))))),
% 2.50/2.02 inference(monotonicity,[status(thm)],[7394])).
% 2.50/2.02 tff(7396,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(transitivity,[status(thm)],[7395, 7393])).
% 2.50/2.02 tff(7397,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s60) | (~until5(s60)) | xuntil6(s60))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7398,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s60) | node4(s60) | (~until5(s60))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7397, 7396])).
% 2.50/2.02 tff(7399,plain,
% 2.50/2.02 (xuntil6(s60) | (~until5(s60))),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7398, 225, 7392])).
% 2.50/2.02 tff(7400,plain,
% 2.50/2.02 (xuntil6(s60)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7399, 7388])).
% 2.50/2.02 tff(7401,plain,
% 2.50/2.02 (((~![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))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7402,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s60, s61)) | (~xuntil6(s60)) | until5(s61))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7403,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s60, s61)) | (~xuntil6(s60)) | until5(s61)),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7402, 7401])).
% 2.50/2.02 tff(7404,plain,
% 2.50/2.02 ((~xuntil6(s60)) | until5(s61)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7403, 6236, 243])).
% 2.50/2.02 tff(7405,plain,
% 2.50/2.02 (until5(s61)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7404, 7400])).
% 2.50/2.02 tff(7406,plain,
% 2.50/2.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s61) | (~node4(s61)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s61) | (~node4(s61)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7407,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s61) | (~node4(s61)))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7408,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s61) | (~node4(s61))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7407, 7406])).
% 2.50/2.02 tff(7409,plain,
% 2.50/2.02 (~node4(s61)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7408, 113, 7061])).
% 2.50/2.02 tff(7410,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7411,plain,
% 2.50/2.02 ((node4(s61) | (~until5(s61)) | xuntil6(s61)) <=> (xuntil6(s61) | node4(s61) | (~until5(s61)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7412,plain,
% 2.50/2.02 (((~![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))))),
% 2.50/2.02 inference(monotonicity,[status(thm)],[7411])).
% 2.50/2.02 tff(7413,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(transitivity,[status(thm)],[7412, 7410])).
% 2.50/2.02 tff(7414,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s61) | (~until5(s61)) | xuntil6(s61))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7415,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s61) | node4(s61) | (~until5(s61))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7414, 7413])).
% 2.50/2.02 tff(7416,plain,
% 2.50/2.02 (xuntil6(s61) | (~until5(s61))),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7415, 225, 7409])).
% 2.50/2.02 tff(7417,plain,
% 2.50/2.02 (xuntil6(s61)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7416, 7405])).
% 2.50/2.02 tff(7418,plain,
% 2.50/2.02 (((~![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))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7419,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s61, s62)) | (~xuntil6(s61)) | until5(s62))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7420,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s61, s62)) | (~xuntil6(s61)) | until5(s62)),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7419, 7418])).
% 2.50/2.02 tff(7421,plain,
% 2.50/2.02 ((~xuntil6(s61)) | until5(s62)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7420, 6224, 243])).
% 2.50/2.02 tff(7422,plain,
% 2.50/2.02 (until5(s62)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7421, 7417])).
% 2.50/2.02 tff(7423,plain,
% 2.50/2.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s62) | (~node4(s62)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s62) | (~node4(s62)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7424,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s62) | (~node4(s62)))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7425,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s62) | (~node4(s62))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7424, 7423])).
% 2.50/2.02 tff(7426,plain,
% 2.50/2.02 (~node4(s62)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7425, 113, 7060])).
% 2.50/2.02 tff(7427,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7428,plain,
% 2.50/2.02 ((node4(s62) | (~until5(s62)) | xuntil6(s62)) <=> (xuntil6(s62) | node4(s62) | (~until5(s62)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7429,plain,
% 2.50/2.02 (((~![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))))),
% 2.50/2.02 inference(monotonicity,[status(thm)],[7428])).
% 2.50/2.02 tff(7430,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(transitivity,[status(thm)],[7429, 7427])).
% 2.50/2.02 tff(7431,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s62) | (~until5(s62)) | xuntil6(s62))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7432,plain,
% 2.50/2.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s62) | node4(s62) | (~until5(s62))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7431, 7430])).
% 2.50/2.02 tff(7433,plain,
% 2.50/2.02 (xuntil6(s62) | (~until5(s62))),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7432, 225, 7426])).
% 2.50/2.02 tff(7434,plain,
% 2.50/2.02 (xuntil6(s62)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7433, 7422])).
% 2.50/2.02 tff(7435,plain,
% 2.50/2.02 (((~![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))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7436,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s62, s63)) | (~xuntil6(s62)) | until5(s63))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7437,plain,
% 2.50/2.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s62, s63)) | (~xuntil6(s62)) | until5(s63)),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7436, 7435])).
% 2.50/2.02 tff(7438,plain,
% 2.50/2.02 ((~xuntil6(s62)) | until5(s63)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7437, 6212, 243])).
% 2.50/2.02 tff(7439,plain,
% 2.50/2.02 (until5(s63)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7438, 7434])).
% 2.50/2.02 tff(7440,plain,
% 2.50/2.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s63) | (~node4(s63)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s63) | (~node4(s63)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.02 tff(7441,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s63) | (~node4(s63)))),
% 2.50/2.02 inference(quant_inst,[status(thm)],[])).
% 2.50/2.02 tff(7442,plain,
% 2.50/2.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s63) | (~node4(s63))),
% 2.50/2.02 inference(modus_ponens,[status(thm)],[7441, 7440])).
% 2.50/2.02 tff(7443,plain,
% 2.50/2.02 (~node4(s63)),
% 2.50/2.02 inference(unit_resolution,[status(thm)],[7442, 113, 7059])).
% 2.50/2.02 tff(7444,plain,
% 2.50/2.02 (((~![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)))),
% 2.50/2.02 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7445,plain,
% 2.50/2.03 ((node4(s63) | (~until5(s63)) | xuntil6(s63)) <=> (xuntil6(s63) | node4(s63) | (~until5(s63)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7446,plain,
% 2.50/2.03 (((~![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))))),
% 2.50/2.03 inference(monotonicity,[status(thm)],[7445])).
% 2.50/2.03 tff(7447,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(transitivity,[status(thm)],[7446, 7444])).
% 2.50/2.03 tff(7448,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s63) | (~until5(s63)) | xuntil6(s63))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7449,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s63) | node4(s63) | (~until5(s63))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7448, 7447])).
% 2.50/2.03 tff(7450,plain,
% 2.50/2.03 (xuntil6(s63) | (~until5(s63))),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7449, 225, 7443])).
% 2.50/2.03 tff(7451,plain,
% 2.50/2.03 (xuntil6(s63)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7450, 7439])).
% 2.50/2.03 tff(7452,plain,
% 2.50/2.03 (((~![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))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7453,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s63, s64)) | (~xuntil6(s63)) | until5(s64))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7454,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s63, s64)) | (~xuntil6(s63)) | until5(s64)),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7453, 7452])).
% 2.50/2.03 tff(7455,plain,
% 2.50/2.03 ((~xuntil6(s63)) | until5(s64)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7454, 6200, 243])).
% 2.50/2.03 tff(7456,plain,
% 2.50/2.03 (until5(s64)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7455, 7451])).
% 2.50/2.03 tff(7457,plain,
% 2.50/2.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s64) | (~node4(s64)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s64) | (~node4(s64)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7458,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s64) | (~node4(s64)))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7459,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s64) | (~node4(s64))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7458, 7457])).
% 2.50/2.03 tff(7460,plain,
% 2.50/2.03 (~node4(s64)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7459, 113, 7058])).
% 2.50/2.03 tff(7461,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7462,plain,
% 2.50/2.03 ((node4(s64) | (~until5(s64)) | xuntil6(s64)) <=> (xuntil6(s64) | node4(s64) | (~until5(s64)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7463,plain,
% 2.50/2.03 (((~![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))))),
% 2.50/2.03 inference(monotonicity,[status(thm)],[7462])).
% 2.50/2.03 tff(7464,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(transitivity,[status(thm)],[7463, 7461])).
% 2.50/2.03 tff(7465,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s64) | (~until5(s64)) | xuntil6(s64))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7466,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s64) | node4(s64) | (~until5(s64))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7465, 7464])).
% 2.50/2.03 tff(7467,plain,
% 2.50/2.03 (xuntil6(s64) | (~until5(s64))),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7466, 225, 7460])).
% 2.50/2.03 tff(7468,plain,
% 2.50/2.03 (xuntil6(s64)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7467, 7456])).
% 2.50/2.03 tff(7469,plain,
% 2.50/2.03 (((~![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))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7470,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s64, s65)) | (~xuntil6(s64)) | until5(s65))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7471,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s64, s65)) | (~xuntil6(s64)) | until5(s65)),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7470, 7469])).
% 2.50/2.03 tff(7472,plain,
% 2.50/2.03 ((~xuntil6(s64)) | until5(s65)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7471, 6188, 243])).
% 2.50/2.03 tff(7473,plain,
% 2.50/2.03 (until5(s65)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7472, 7468])).
% 2.50/2.03 tff(7474,plain,
% 2.50/2.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s65) | (~node4(s65)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s65) | (~node4(s65)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7475,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s65) | (~node4(s65)))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7476,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s65) | (~node4(s65))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7475, 7474])).
% 2.50/2.03 tff(7477,plain,
% 2.50/2.03 (~node4(s65)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7476, 113, 7057])).
% 2.50/2.03 tff(7478,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7479,plain,
% 2.50/2.03 ((node4(s65) | (~until5(s65)) | xuntil6(s65)) <=> (xuntil6(s65) | node4(s65) | (~until5(s65)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7480,plain,
% 2.50/2.03 (((~![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))))),
% 2.50/2.03 inference(monotonicity,[status(thm)],[7479])).
% 2.50/2.03 tff(7481,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(transitivity,[status(thm)],[7480, 7478])).
% 2.50/2.03 tff(7482,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s65) | (~until5(s65)) | xuntil6(s65))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7483,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s65) | node4(s65) | (~until5(s65))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7482, 7481])).
% 2.50/2.03 tff(7484,plain,
% 2.50/2.03 (xuntil6(s65) | (~until5(s65))),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7483, 225, 7477])).
% 2.50/2.03 tff(7485,plain,
% 2.50/2.03 (xuntil6(s65)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7484, 7473])).
% 2.50/2.03 tff(7486,plain,
% 2.50/2.03 (((~![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))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7487,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s65, s66)) | (~xuntil6(s65)) | until5(s66))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7488,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s65, s66)) | (~xuntil6(s65)) | until5(s66)),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7487, 7486])).
% 2.50/2.03 tff(7489,plain,
% 2.50/2.03 ((~xuntil6(s65)) | until5(s66)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7488, 6176, 243])).
% 2.50/2.03 tff(7490,plain,
% 2.50/2.03 (until5(s66)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7489, 7485])).
% 2.50/2.03 tff(7491,plain,
% 2.50/2.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s66) | (~node4(s66)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s66) | (~node4(s66)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7492,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s66) | (~node4(s66)))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7493,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s66) | (~node4(s66))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7492, 7491])).
% 2.50/2.03 tff(7494,plain,
% 2.50/2.03 (~node4(s66)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7493, 113, 7056])).
% 2.50/2.03 tff(7495,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7496,plain,
% 2.50/2.03 ((node4(s66) | (~until5(s66)) | xuntil6(s66)) <=> (xuntil6(s66) | node4(s66) | (~until5(s66)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7497,plain,
% 2.50/2.03 (((~![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))))),
% 2.50/2.03 inference(monotonicity,[status(thm)],[7496])).
% 2.50/2.03 tff(7498,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(transitivity,[status(thm)],[7497, 7495])).
% 2.50/2.03 tff(7499,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s66) | (~until5(s66)) | xuntil6(s66))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7500,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s66) | node4(s66) | (~until5(s66))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7499, 7498])).
% 2.50/2.03 tff(7501,plain,
% 2.50/2.03 (xuntil6(s66) | (~until5(s66))),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7500, 225, 7494])).
% 2.50/2.03 tff(7502,plain,
% 2.50/2.03 (xuntil6(s66)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7501, 7490])).
% 2.50/2.03 tff(7503,plain,
% 2.50/2.03 (((~![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))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7504,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s66, s67)) | (~xuntil6(s66)) | until5(s67))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7505,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s66, s67)) | (~xuntil6(s66)) | until5(s67)),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7504, 7503])).
% 2.50/2.03 tff(7506,plain,
% 2.50/2.03 ((~xuntil6(s66)) | until5(s67)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7505, 6164, 243])).
% 2.50/2.03 tff(7507,plain,
% 2.50/2.03 (until5(s67)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7506, 7502])).
% 2.50/2.03 tff(7508,plain,
% 2.50/2.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s67) | (~node4(s67)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s67) | (~node4(s67)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7509,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s67) | (~node4(s67)))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7510,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s67) | (~node4(s67))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7509, 7508])).
% 2.50/2.03 tff(7511,plain,
% 2.50/2.03 (~node4(s67)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7510, 113, 7055])).
% 2.50/2.03 tff(7512,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7513,plain,
% 2.50/2.03 ((node4(s67) | (~until5(s67)) | xuntil6(s67)) <=> (xuntil6(s67) | node4(s67) | (~until5(s67)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7514,plain,
% 2.50/2.03 (((~![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))))),
% 2.50/2.03 inference(monotonicity,[status(thm)],[7513])).
% 2.50/2.03 tff(7515,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(transitivity,[status(thm)],[7514, 7512])).
% 2.50/2.03 tff(7516,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s67) | (~until5(s67)) | xuntil6(s67))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7517,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s67) | node4(s67) | (~until5(s67))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7516, 7515])).
% 2.50/2.03 tff(7518,plain,
% 2.50/2.03 (xuntil6(s67) | (~until5(s67))),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7517, 225, 7511])).
% 2.50/2.03 tff(7519,plain,
% 2.50/2.03 (xuntil6(s67)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7518, 7507])).
% 2.50/2.03 tff(7520,plain,
% 2.50/2.03 (((~![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))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7521,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s67, s68)) | (~xuntil6(s67)) | until5(s68))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7522,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s67, s68)) | (~xuntil6(s67)) | until5(s68)),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7521, 7520])).
% 2.50/2.03 tff(7523,plain,
% 2.50/2.03 ((~xuntil6(s67)) | until5(s68)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7522, 6152, 243])).
% 2.50/2.03 tff(7524,plain,
% 2.50/2.03 (until5(s68)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7523, 7519])).
% 2.50/2.03 tff(7525,plain,
% 2.50/2.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s68) | (~node4(s68)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s68) | (~node4(s68)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7526,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s68) | (~node4(s68)))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7527,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s68) | (~node4(s68))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7526, 7525])).
% 2.50/2.03 tff(7528,plain,
% 2.50/2.03 (~node4(s68)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7527, 113, 7054])).
% 2.50/2.03 tff(7529,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7530,plain,
% 2.50/2.03 ((node4(s68) | (~until5(s68)) | xuntil6(s68)) <=> (xuntil6(s68) | node4(s68) | (~until5(s68)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7531,plain,
% 2.50/2.03 (((~![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))))),
% 2.50/2.03 inference(monotonicity,[status(thm)],[7530])).
% 2.50/2.03 tff(7532,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(transitivity,[status(thm)],[7531, 7529])).
% 2.50/2.03 tff(7533,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s68) | (~until5(s68)) | xuntil6(s68))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7534,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s68) | node4(s68) | (~until5(s68))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7533, 7532])).
% 2.50/2.03 tff(7535,plain,
% 2.50/2.03 (xuntil6(s68) | (~until5(s68))),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7534, 225, 7528])).
% 2.50/2.03 tff(7536,plain,
% 2.50/2.03 (xuntil6(s68)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7535, 7524])).
% 2.50/2.03 tff(7537,plain,
% 2.50/2.03 (((~![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))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7538,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s68, s69)) | (~xuntil6(s68)) | until5(s69))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7539,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s68, s69)) | (~xuntil6(s68)) | until5(s69)),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7538, 7537])).
% 2.50/2.03 tff(7540,plain,
% 2.50/2.03 ((~xuntil6(s68)) | until5(s69)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7539, 6140, 243])).
% 2.50/2.03 tff(7541,plain,
% 2.50/2.03 (until5(s69)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7540, 7536])).
% 2.50/2.03 tff(7542,plain,
% 2.50/2.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s69) | (~node4(s69)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s69) | (~node4(s69)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7543,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s69) | (~node4(s69)))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7544,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s69) | (~node4(s69))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7543, 7542])).
% 2.50/2.03 tff(7545,plain,
% 2.50/2.03 (~node4(s69)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7544, 113, 7053])).
% 2.50/2.03 tff(7546,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7547,plain,
% 2.50/2.03 ((node4(s69) | (~until5(s69)) | xuntil6(s69)) <=> (xuntil6(s69) | node4(s69) | (~until5(s69)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7548,plain,
% 2.50/2.03 (((~![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))))),
% 2.50/2.03 inference(monotonicity,[status(thm)],[7547])).
% 2.50/2.03 tff(7549,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(transitivity,[status(thm)],[7548, 7546])).
% 2.50/2.03 tff(7550,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s69) | (~until5(s69)) | xuntil6(s69))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7551,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s69) | node4(s69) | (~until5(s69))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7550, 7549])).
% 2.50/2.03 tff(7552,plain,
% 2.50/2.03 (xuntil6(s69) | (~until5(s69))),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7551, 225, 7545])).
% 2.50/2.03 tff(7553,plain,
% 2.50/2.03 (xuntil6(s69)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7552, 7541])).
% 2.50/2.03 tff(7554,plain,
% 2.50/2.03 (((~![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))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7555,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s69, s70)) | (~xuntil6(s69)) | until5(s70))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7556,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s69, s70)) | (~xuntil6(s69)) | until5(s70)),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7555, 7554])).
% 2.50/2.03 tff(7557,plain,
% 2.50/2.03 ((~xuntil6(s69)) | until5(s70)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7556, 6128, 243])).
% 2.50/2.03 tff(7558,plain,
% 2.50/2.03 (until5(s70)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7557, 7553])).
% 2.50/2.03 tff(7559,plain,
% 2.50/2.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s70) | (~node4(s70)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s70) | (~node4(s70)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7560,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s70) | (~node4(s70)))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7561,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s70) | (~node4(s70))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7560, 7559])).
% 2.50/2.03 tff(7562,plain,
% 2.50/2.03 (~node4(s70)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7561, 113, 7052])).
% 2.50/2.03 tff(7563,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7564,plain,
% 2.50/2.03 ((node4(s70) | (~until5(s70)) | xuntil6(s70)) <=> (xuntil6(s70) | node4(s70) | (~until5(s70)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7565,plain,
% 2.50/2.03 (((~![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))))),
% 2.50/2.03 inference(monotonicity,[status(thm)],[7564])).
% 2.50/2.03 tff(7566,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(transitivity,[status(thm)],[7565, 7563])).
% 2.50/2.03 tff(7567,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s70) | (~until5(s70)) | xuntil6(s70))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7568,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s70) | node4(s70) | (~until5(s70))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7567, 7566])).
% 2.50/2.03 tff(7569,plain,
% 2.50/2.03 (xuntil6(s70) | (~until5(s70))),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7568, 225, 7562])).
% 2.50/2.03 tff(7570,plain,
% 2.50/2.03 (xuntil6(s70)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7569, 7558])).
% 2.50/2.03 tff(7571,plain,
% 2.50/2.03 (((~![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))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7572,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s70, s71)) | (~xuntil6(s70)) | until5(s71))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7573,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s70, s71)) | (~xuntil6(s70)) | until5(s71)),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7572, 7571])).
% 2.50/2.03 tff(7574,plain,
% 2.50/2.03 ((~xuntil6(s70)) | until5(s71)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7573, 6116, 243])).
% 2.50/2.03 tff(7575,plain,
% 2.50/2.03 (until5(s71)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7574, 7570])).
% 2.50/2.03 tff(7576,plain,
% 2.50/2.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s71) | (~node4(s71)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s71) | (~node4(s71)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7577,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s71) | (~node4(s71)))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7578,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s71) | (~node4(s71))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7577, 7576])).
% 2.50/2.03 tff(7579,plain,
% 2.50/2.03 (~node4(s71)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7578, 113, 7051])).
% 2.50/2.03 tff(7580,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7581,plain,
% 2.50/2.03 ((node4(s71) | (~until5(s71)) | xuntil6(s71)) <=> (xuntil6(s71) | node4(s71) | (~until5(s71)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7582,plain,
% 2.50/2.03 (((~![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))))),
% 2.50/2.03 inference(monotonicity,[status(thm)],[7581])).
% 2.50/2.03 tff(7583,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(transitivity,[status(thm)],[7582, 7580])).
% 2.50/2.03 tff(7584,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s71) | (~until5(s71)) | xuntil6(s71))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7585,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s71) | node4(s71) | (~until5(s71))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7584, 7583])).
% 2.50/2.03 tff(7586,plain,
% 2.50/2.03 (xuntil6(s71) | (~until5(s71))),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7585, 225, 7579])).
% 2.50/2.03 tff(7587,plain,
% 2.50/2.03 ($false),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7586, 7575, 7050])).
% 2.50/2.03 tff(7588,plain,(always3(s103) | (~until5(s39)) | xuntil6(s103)), inference(lemma,lemma(discharge,[]))).
% 2.50/2.03 tff(7589,plain,
% 2.50/2.03 (xuntil6(s103)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7588, 6474, 5729])).
% 2.50/2.03 tff(7590,plain,
% 2.50/2.03 (((~![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))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7591,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s103, s104)) | (~xuntil6(s103)) | until5(s104))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7592,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s103, s104)) | (~xuntil6(s103)) | until5(s104)),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7591, 7590])).
% 2.50/2.03 tff(7593,plain,
% 2.50/2.03 ((~xuntil6(s103)) | until5(s104)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7592, 5720, 243])).
% 2.50/2.03 tff(7594,plain,
% 2.50/2.03 (until5(s104)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7593, 7589])).
% 2.50/2.03 tff(7595,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7596,plain,
% 2.50/2.03 ((node4(s104) | (~until5(s104)) | xuntil6(s104)) <=> (xuntil6(s104) | node4(s104) | (~until5(s104)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7597,plain,
% 2.50/2.03 (((~![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))))),
% 2.50/2.03 inference(monotonicity,[status(thm)],[7596])).
% 2.50/2.03 tff(7598,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(transitivity,[status(thm)],[7597, 7595])).
% 2.50/2.03 tff(7599,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s104) | (~until5(s104)) | xuntil6(s104))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7600,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s104) | node4(s104) | (~until5(s104))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7599, 7598])).
% 2.50/2.03 tff(7601,plain,
% 2.50/2.03 (xuntil6(s104)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7600, 225, 7594, 5717])).
% 2.50/2.03 tff(7602,plain,
% 2.50/2.03 (((~![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))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7603,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s104, s105)) | (~xuntil6(s104)) | until5(s105))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7604,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s104, s105)) | (~xuntil6(s104)) | until5(s105)),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7603, 7602])).
% 2.50/2.03 tff(7605,plain,
% 2.50/2.03 ((~xuntil6(s104)) | until5(s105)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7604, 5704, 243])).
% 2.50/2.03 tff(7606,plain,
% 2.50/2.03 (until5(s105)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7605, 7601])).
% 2.50/2.03 tff(7607,plain,
% 2.50/2.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s105) | (~node4(s105)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s105) | (~node4(s105)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7608,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s105) | (~node4(s105)))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7609,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s105) | (~node4(s105))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7608, 7607])).
% 2.50/2.03 tff(7610,plain,
% 2.50/2.03 (~node4(s105)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7609, 113, 5701])).
% 2.50/2.03 tff(7611,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7612,plain,
% 2.50/2.03 ((node4(s105) | (~until5(s105)) | xuntil6(s105)) <=> (xuntil6(s105) | node4(s105) | (~until5(s105)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7613,plain,
% 2.50/2.03 (((~![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))))),
% 2.50/2.03 inference(monotonicity,[status(thm)],[7612])).
% 2.50/2.03 tff(7614,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(transitivity,[status(thm)],[7613, 7611])).
% 2.50/2.03 tff(7615,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s105) | (~until5(s105)) | xuntil6(s105))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7616,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s105) | node4(s105) | (~until5(s105))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7615, 7614])).
% 2.50/2.03 tff(7617,plain,
% 2.50/2.03 (xuntil6(s105) | (~until5(s105))),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7616, 225, 7610])).
% 2.50/2.03 tff(7618,plain,
% 2.50/2.03 (xuntil6(s105)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7617, 7606])).
% 2.50/2.03 tff(7619,plain,
% 2.50/2.03 (((~![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))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7620,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s105, s106)) | (~xuntil6(s105)) | until5(s106))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7621,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s105, s106)) | (~xuntil6(s105)) | until5(s106)),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7620, 7619])).
% 2.50/2.03 tff(7622,plain,
% 2.50/2.03 ((~xuntil6(s105)) | until5(s106)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7621, 5692, 243])).
% 2.50/2.03 tff(7623,plain,
% 2.50/2.03 (until5(s106)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7622, 7618])).
% 2.50/2.03 tff(7624,plain,
% 2.50/2.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s106) | (~node4(s106)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s106) | (~node4(s106)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7625,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s106) | (~node4(s106)))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7626,plain,
% 2.50/2.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s106) | (~node4(s106))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7625, 7624])).
% 2.50/2.03 tff(7627,plain,
% 2.50/2.03 (~node4(s106)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7626, 113, 5689])).
% 2.50/2.03 tff(7628,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7629,plain,
% 2.50/2.03 ((node4(s106) | (~until5(s106)) | xuntil6(s106)) <=> (xuntil6(s106) | node4(s106) | (~until5(s106)))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7630,plain,
% 2.50/2.03 (((~![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))))),
% 2.50/2.03 inference(monotonicity,[status(thm)],[7629])).
% 2.50/2.03 tff(7631,plain,
% 2.50/2.03 (((~![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)))),
% 2.50/2.03 inference(transitivity,[status(thm)],[7630, 7628])).
% 2.50/2.03 tff(7632,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s106) | (~until5(s106)) | xuntil6(s106))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7633,plain,
% 2.50/2.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s106) | node4(s106) | (~until5(s106))),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7632, 7631])).
% 2.50/2.03 tff(7634,plain,
% 2.50/2.03 (xuntil6(s106) | (~until5(s106))),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7633, 225, 7627])).
% 2.50/2.03 tff(7635,plain,
% 2.50/2.03 (xuntil6(s106)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7634, 7623])).
% 2.50/2.03 tff(7636,plain,
% 2.50/2.03 (((~![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))),
% 2.50/2.03 inference(rewrite,[status(thm)],[])).
% 2.50/2.03 tff(7637,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s106, s107)) | (~xuntil6(s106)) | until5(s107))),
% 2.50/2.03 inference(quant_inst,[status(thm)],[])).
% 2.50/2.03 tff(7638,plain,
% 2.50/2.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s106, s107)) | (~xuntil6(s106)) | until5(s107)),
% 2.50/2.03 inference(modus_ponens,[status(thm)],[7637, 7636])).
% 2.50/2.03 tff(7639,plain,
% 2.50/2.03 ((~xuntil6(s106)) | until5(s107)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7638, 5680, 243])).
% 2.50/2.03 tff(7640,plain,
% 2.50/2.03 (until5(s107)),
% 2.50/2.03 inference(unit_resolution,[status(thm)],[7639, 7635])).
% 2.50/2.03 tff(7641,plain,
% 2.50/2.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s107) | (~node4(s107)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s107) | (~node4(s107)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7642,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s107) | (~node4(s107)))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7643,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s107) | (~node4(s107))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7642, 7641])).
% 2.50/2.04 tff(7644,plain,
% 2.50/2.04 (~node4(s107)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7643, 113, 5677])).
% 2.50/2.04 tff(7645,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7646,plain,
% 2.50/2.04 ((node4(s107) | (~until5(s107)) | xuntil6(s107)) <=> (xuntil6(s107) | node4(s107) | (~until5(s107)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7647,plain,
% 2.50/2.04 (((~![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))))),
% 2.50/2.04 inference(monotonicity,[status(thm)],[7646])).
% 2.50/2.04 tff(7648,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(transitivity,[status(thm)],[7647, 7645])).
% 2.50/2.04 tff(7649,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s107) | (~until5(s107)) | xuntil6(s107))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7650,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s107) | node4(s107) | (~until5(s107))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7649, 7648])).
% 2.50/2.04 tff(7651,plain,
% 2.50/2.04 (xuntil6(s107) | (~until5(s107))),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7650, 225, 7644])).
% 2.50/2.04 tff(7652,plain,
% 2.50/2.04 (xuntil6(s107)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7651, 7640])).
% 2.50/2.04 tff(7653,plain,
% 2.50/2.04 (((~![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))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7654,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s107, s108)) | (~xuntil6(s107)) | until5(s108))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7655,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s107, s108)) | (~xuntil6(s107)) | until5(s108)),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7654, 7653])).
% 2.50/2.04 tff(7656,plain,
% 2.50/2.04 ((~xuntil6(s107)) | until5(s108)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7655, 5668, 243])).
% 2.50/2.04 tff(7657,plain,
% 2.50/2.04 (until5(s108)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7656, 7652])).
% 2.50/2.04 tff(7658,plain,
% 2.50/2.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s108) | (~node4(s108)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s108) | (~node4(s108)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7659,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s108) | (~node4(s108)))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7660,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s108) | (~node4(s108))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7659, 7658])).
% 2.50/2.04 tff(7661,plain,
% 2.50/2.04 (~node4(s108)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7660, 113, 5665])).
% 2.50/2.04 tff(7662,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7663,plain,
% 2.50/2.04 ((node4(s108) | (~until5(s108)) | xuntil6(s108)) <=> (xuntil6(s108) | node4(s108) | (~until5(s108)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7664,plain,
% 2.50/2.04 (((~![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))))),
% 2.50/2.04 inference(monotonicity,[status(thm)],[7663])).
% 2.50/2.04 tff(7665,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(transitivity,[status(thm)],[7664, 7662])).
% 2.50/2.04 tff(7666,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s108) | (~until5(s108)) | xuntil6(s108))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7667,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s108) | node4(s108) | (~until5(s108))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7666, 7665])).
% 2.50/2.04 tff(7668,plain,
% 2.50/2.04 (xuntil6(s108) | (~until5(s108))),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7667, 225, 7661])).
% 2.50/2.04 tff(7669,plain,
% 2.50/2.04 (xuntil6(s108)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7668, 7657])).
% 2.50/2.04 tff(7670,plain,
% 2.50/2.04 (((~![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))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7671,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s108, s109)) | (~xuntil6(s108)) | until5(s109))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7672,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s108, s109)) | (~xuntil6(s108)) | until5(s109)),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7671, 7670])).
% 2.50/2.04 tff(7673,plain,
% 2.50/2.04 ((~xuntil6(s108)) | until5(s109)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7672, 5656, 243])).
% 2.50/2.04 tff(7674,plain,
% 2.50/2.04 (until5(s109)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7673, 7669])).
% 2.50/2.04 tff(7675,plain,
% 2.50/2.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s109) | (~node4(s109)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s109) | (~node4(s109)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7676,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s109) | (~node4(s109)))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7677,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s109) | (~node4(s109))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7676, 7675])).
% 2.50/2.04 tff(7678,plain,
% 2.50/2.04 (~node4(s109)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7677, 113, 5653])).
% 2.50/2.04 tff(7679,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7680,plain,
% 2.50/2.04 ((node4(s109) | (~until5(s109)) | xuntil6(s109)) <=> (xuntil6(s109) | node4(s109) | (~until5(s109)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7681,plain,
% 2.50/2.04 (((~![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))))),
% 2.50/2.04 inference(monotonicity,[status(thm)],[7680])).
% 2.50/2.04 tff(7682,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(transitivity,[status(thm)],[7681, 7679])).
% 2.50/2.04 tff(7683,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s109) | (~until5(s109)) | xuntil6(s109))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7684,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s109) | node4(s109) | (~until5(s109))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7683, 7682])).
% 2.50/2.04 tff(7685,plain,
% 2.50/2.04 (xuntil6(s109) | (~until5(s109))),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7684, 225, 7678])).
% 2.50/2.04 tff(7686,plain,
% 2.50/2.04 (xuntil6(s109)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7685, 7674])).
% 2.50/2.04 tff(7687,plain,
% 2.50/2.04 (((~![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))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7688,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s109, s110)) | (~xuntil6(s109)) | until5(s110))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7689,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s109, s110)) | (~xuntil6(s109)) | until5(s110)),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7688, 7687])).
% 2.50/2.04 tff(7690,plain,
% 2.50/2.04 ((~xuntil6(s109)) | until5(s110)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7689, 5644, 243])).
% 2.50/2.04 tff(7691,plain,
% 2.50/2.04 (until5(s110)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7690, 7686])).
% 2.50/2.04 tff(7692,plain,
% 2.50/2.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s110) | (~node4(s110)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s110) | (~node4(s110)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7693,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s110) | (~node4(s110)))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7694,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s110) | (~node4(s110))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7693, 7692])).
% 2.50/2.04 tff(7695,plain,
% 2.50/2.04 (~node4(s110)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7694, 113, 5641])).
% 2.50/2.04 tff(7696,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7697,plain,
% 2.50/2.04 ((node4(s110) | (~until5(s110)) | xuntil6(s110)) <=> (xuntil6(s110) | node4(s110) | (~until5(s110)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7698,plain,
% 2.50/2.04 (((~![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))))),
% 2.50/2.04 inference(monotonicity,[status(thm)],[7697])).
% 2.50/2.04 tff(7699,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(transitivity,[status(thm)],[7698, 7696])).
% 2.50/2.04 tff(7700,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s110) | (~until5(s110)) | xuntil6(s110))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7701,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s110) | node4(s110) | (~until5(s110))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7700, 7699])).
% 2.50/2.04 tff(7702,plain,
% 2.50/2.04 (xuntil6(s110) | (~until5(s110))),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7701, 225, 7695])).
% 2.50/2.04 tff(7703,plain,
% 2.50/2.04 (xuntil6(s110)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7702, 7691])).
% 2.50/2.04 tff(7704,plain,
% 2.50/2.04 (((~![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))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7705,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s110, s111)) | (~xuntil6(s110)) | until5(s111))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7706,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s110, s111)) | (~xuntil6(s110)) | until5(s111)),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7705, 7704])).
% 2.50/2.04 tff(7707,plain,
% 2.50/2.04 ((~xuntil6(s110)) | until5(s111)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7706, 5632, 243])).
% 2.50/2.04 tff(7708,plain,
% 2.50/2.04 (until5(s111)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7707, 7703])).
% 2.50/2.04 tff(7709,plain,
% 2.50/2.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s111) | (~node4(s111)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s111) | (~node4(s111)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7710,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s111) | (~node4(s111)))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7711,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s111) | (~node4(s111))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7710, 7709])).
% 2.50/2.04 tff(7712,plain,
% 2.50/2.04 (~node4(s111)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7711, 113, 5629])).
% 2.50/2.04 tff(7713,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7714,plain,
% 2.50/2.04 ((node4(s111) | (~until5(s111)) | xuntil6(s111)) <=> (xuntil6(s111) | node4(s111) | (~until5(s111)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7715,plain,
% 2.50/2.04 (((~![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))))),
% 2.50/2.04 inference(monotonicity,[status(thm)],[7714])).
% 2.50/2.04 tff(7716,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(transitivity,[status(thm)],[7715, 7713])).
% 2.50/2.04 tff(7717,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s111) | (~until5(s111)) | xuntil6(s111))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7718,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s111) | node4(s111) | (~until5(s111))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7717, 7716])).
% 2.50/2.04 tff(7719,plain,
% 2.50/2.04 (xuntil6(s111) | (~until5(s111))),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7718, 225, 7712])).
% 2.50/2.04 tff(7720,plain,
% 2.50/2.04 (xuntil6(s111)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7719, 7708])).
% 2.50/2.04 tff(7721,plain,
% 2.50/2.04 (((~![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))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7722,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s111, s112)) | (~xuntil6(s111)) | until5(s112))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7723,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s111, s112)) | (~xuntil6(s111)) | until5(s112)),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7722, 7721])).
% 2.50/2.04 tff(7724,plain,
% 2.50/2.04 ((~xuntil6(s111)) | until5(s112)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7723, 5620, 243])).
% 2.50/2.04 tff(7725,plain,
% 2.50/2.04 (until5(s112)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7724, 7720])).
% 2.50/2.04 tff(7726,plain,
% 2.50/2.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s112) | (~node4(s112)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s112) | (~node4(s112)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7727,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s112) | (~node4(s112)))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7728,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s112) | (~node4(s112))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7727, 7726])).
% 2.50/2.04 tff(7729,plain,
% 2.50/2.04 (~node4(s112)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7728, 113, 5617])).
% 2.50/2.04 tff(7730,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7731,plain,
% 2.50/2.04 ((node4(s112) | (~until5(s112)) | xuntil6(s112)) <=> (xuntil6(s112) | node4(s112) | (~until5(s112)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7732,plain,
% 2.50/2.04 (((~![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))))),
% 2.50/2.04 inference(monotonicity,[status(thm)],[7731])).
% 2.50/2.04 tff(7733,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(transitivity,[status(thm)],[7732, 7730])).
% 2.50/2.04 tff(7734,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s112) | (~until5(s112)) | xuntil6(s112))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7735,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s112) | node4(s112) | (~until5(s112))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7734, 7733])).
% 2.50/2.04 tff(7736,plain,
% 2.50/2.04 (xuntil6(s112) | (~until5(s112))),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7735, 225, 7729])).
% 2.50/2.04 tff(7737,plain,
% 2.50/2.04 (xuntil6(s112)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7736, 7725])).
% 2.50/2.04 tff(7738,plain,
% 2.50/2.04 (((~![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))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7739,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s112, s113)) | (~xuntil6(s112)) | until5(s113))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7740,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s112, s113)) | (~xuntil6(s112)) | until5(s113)),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7739, 7738])).
% 2.50/2.04 tff(7741,plain,
% 2.50/2.04 ((~xuntil6(s112)) | until5(s113)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7740, 5608, 243])).
% 2.50/2.04 tff(7742,plain,
% 2.50/2.04 (until5(s113)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7741, 7737])).
% 2.50/2.04 tff(7743,plain,
% 2.50/2.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s113) | (~node4(s113)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s113) | (~node4(s113)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7744,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s113) | (~node4(s113)))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7745,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s113) | (~node4(s113))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7744, 7743])).
% 2.50/2.04 tff(7746,plain,
% 2.50/2.04 (~node4(s113)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7745, 113, 5605])).
% 2.50/2.04 tff(7747,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7748,plain,
% 2.50/2.04 ((node4(s113) | (~until5(s113)) | xuntil6(s113)) <=> (xuntil6(s113) | node4(s113) | (~until5(s113)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7749,plain,
% 2.50/2.04 (((~![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))))),
% 2.50/2.04 inference(monotonicity,[status(thm)],[7748])).
% 2.50/2.04 tff(7750,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(transitivity,[status(thm)],[7749, 7747])).
% 2.50/2.04 tff(7751,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s113) | (~until5(s113)) | xuntil6(s113))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7752,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s113) | node4(s113) | (~until5(s113))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7751, 7750])).
% 2.50/2.04 tff(7753,plain,
% 2.50/2.04 (xuntil6(s113) | (~until5(s113))),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7752, 225, 7746])).
% 2.50/2.04 tff(7754,plain,
% 2.50/2.04 (xuntil6(s113)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7753, 7742])).
% 2.50/2.04 tff(7755,plain,
% 2.50/2.04 (((~![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))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7756,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s113, s114)) | (~xuntil6(s113)) | until5(s114))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7757,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s113, s114)) | (~xuntil6(s113)) | until5(s114)),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7756, 7755])).
% 2.50/2.04 tff(7758,plain,
% 2.50/2.04 ((~xuntil6(s113)) | until5(s114)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7757, 5596, 243])).
% 2.50/2.04 tff(7759,plain,
% 2.50/2.04 (until5(s114)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7758, 7754])).
% 2.50/2.04 tff(7760,plain,
% 2.50/2.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s114) | (~node4(s114)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s114) | (~node4(s114)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7761,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s114) | (~node4(s114)))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7762,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s114) | (~node4(s114))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7761, 7760])).
% 2.50/2.04 tff(7763,plain,
% 2.50/2.04 (~node4(s114)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7762, 113, 5593])).
% 2.50/2.04 tff(7764,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7765,plain,
% 2.50/2.04 ((node4(s114) | (~until5(s114)) | xuntil6(s114)) <=> (xuntil6(s114) | node4(s114) | (~until5(s114)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7766,plain,
% 2.50/2.04 (((~![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))))),
% 2.50/2.04 inference(monotonicity,[status(thm)],[7765])).
% 2.50/2.04 tff(7767,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(transitivity,[status(thm)],[7766, 7764])).
% 2.50/2.04 tff(7768,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s114) | (~until5(s114)) | xuntil6(s114))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7769,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s114) | node4(s114) | (~until5(s114))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7768, 7767])).
% 2.50/2.04 tff(7770,plain,
% 2.50/2.04 (xuntil6(s114) | (~until5(s114))),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7769, 225, 7763])).
% 2.50/2.04 tff(7771,plain,
% 2.50/2.04 (xuntil6(s114)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7770, 7759])).
% 2.50/2.04 tff(7772,plain,
% 2.50/2.04 (((~![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))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7773,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s114, s115)) | (~xuntil6(s114)) | until5(s115))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7774,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s114, s115)) | (~xuntil6(s114)) | until5(s115)),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7773, 7772])).
% 2.50/2.04 tff(7775,plain,
% 2.50/2.04 ((~xuntil6(s114)) | until5(s115)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7774, 5584, 243])).
% 2.50/2.04 tff(7776,plain,
% 2.50/2.04 (until5(s115)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7775, 7771])).
% 2.50/2.04 tff(7777,plain,
% 2.50/2.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s115) | (~node4(s115)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s115) | (~node4(s115)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7778,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s115) | (~node4(s115)))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7779,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s115) | (~node4(s115))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7778, 7777])).
% 2.50/2.04 tff(7780,plain,
% 2.50/2.04 (~node4(s115)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7779, 113, 5581])).
% 2.50/2.04 tff(7781,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7782,plain,
% 2.50/2.04 ((node4(s115) | (~until5(s115)) | xuntil6(s115)) <=> (xuntil6(s115) | node4(s115) | (~until5(s115)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7783,plain,
% 2.50/2.04 (((~![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))))),
% 2.50/2.04 inference(monotonicity,[status(thm)],[7782])).
% 2.50/2.04 tff(7784,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(transitivity,[status(thm)],[7783, 7781])).
% 2.50/2.04 tff(7785,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s115) | (~until5(s115)) | xuntil6(s115))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7786,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s115) | node4(s115) | (~until5(s115))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7785, 7784])).
% 2.50/2.04 tff(7787,plain,
% 2.50/2.04 (xuntil6(s115) | (~until5(s115))),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7786, 225, 7780])).
% 2.50/2.04 tff(7788,plain,
% 2.50/2.04 (xuntil6(s115)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7787, 7776])).
% 2.50/2.04 tff(7789,plain,
% 2.50/2.04 (((~![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))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7790,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s115, s116)) | (~xuntil6(s115)) | until5(s116))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7791,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s115, s116)) | (~xuntil6(s115)) | until5(s116)),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7790, 7789])).
% 2.50/2.04 tff(7792,plain,
% 2.50/2.04 ((~xuntil6(s115)) | until5(s116)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7791, 5572, 243])).
% 2.50/2.04 tff(7793,plain,
% 2.50/2.04 (until5(s116)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7792, 7788])).
% 2.50/2.04 tff(7794,plain,
% 2.50/2.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s116) | (~node4(s116)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s116) | (~node4(s116)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7795,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s116) | (~node4(s116)))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7796,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s116) | (~node4(s116))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7795, 7794])).
% 2.50/2.04 tff(7797,plain,
% 2.50/2.04 (~node4(s116)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7796, 113, 5569])).
% 2.50/2.04 tff(7798,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7799,plain,
% 2.50/2.04 ((node4(s116) | (~until5(s116)) | xuntil6(s116)) <=> (xuntil6(s116) | node4(s116) | (~until5(s116)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7800,plain,
% 2.50/2.04 (((~![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))))),
% 2.50/2.04 inference(monotonicity,[status(thm)],[7799])).
% 2.50/2.04 tff(7801,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(transitivity,[status(thm)],[7800, 7798])).
% 2.50/2.04 tff(7802,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s116) | (~until5(s116)) | xuntil6(s116))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7803,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s116) | node4(s116) | (~until5(s116))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7802, 7801])).
% 2.50/2.04 tff(7804,plain,
% 2.50/2.04 (xuntil6(s116) | (~until5(s116))),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7803, 225, 7797])).
% 2.50/2.04 tff(7805,plain,
% 2.50/2.04 (xuntil6(s116)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7804, 7793])).
% 2.50/2.04 tff(7806,plain,
% 2.50/2.04 (((~![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))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7807,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s116, s117)) | (~xuntil6(s116)) | until5(s117))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7808,plain,
% 2.50/2.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s116, s117)) | (~xuntil6(s116)) | until5(s117)),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7807, 7806])).
% 2.50/2.04 tff(7809,plain,
% 2.50/2.04 ((~xuntil6(s116)) | until5(s117)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7808, 5560, 243])).
% 2.50/2.04 tff(7810,plain,
% 2.50/2.04 (until5(s117)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7809, 7805])).
% 2.50/2.04 tff(7811,plain,
% 2.50/2.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s117) | (~node4(s117)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s117) | (~node4(s117)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7812,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s117) | (~node4(s117)))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7813,plain,
% 2.50/2.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s117) | (~node4(s117))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7812, 7811])).
% 2.50/2.04 tff(7814,plain,
% 2.50/2.04 (~node4(s117)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7813, 113, 5557])).
% 2.50/2.04 tff(7815,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7816,plain,
% 2.50/2.04 ((node4(s117) | (~until5(s117)) | xuntil6(s117)) <=> (xuntil6(s117) | node4(s117) | (~until5(s117)))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.04 tff(7817,plain,
% 2.50/2.04 (((~![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))))),
% 2.50/2.04 inference(monotonicity,[status(thm)],[7816])).
% 2.50/2.04 tff(7818,plain,
% 2.50/2.04 (((~![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)))),
% 2.50/2.04 inference(transitivity,[status(thm)],[7817, 7815])).
% 2.50/2.04 tff(7819,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s117) | (~until5(s117)) | xuntil6(s117))),
% 2.50/2.04 inference(quant_inst,[status(thm)],[])).
% 2.50/2.04 tff(7820,plain,
% 2.50/2.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s117) | node4(s117) | (~until5(s117))),
% 2.50/2.04 inference(modus_ponens,[status(thm)],[7819, 7818])).
% 2.50/2.04 tff(7821,plain,
% 2.50/2.04 (xuntil6(s117) | (~until5(s117))),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7820, 225, 7814])).
% 2.50/2.04 tff(7822,plain,
% 2.50/2.04 (xuntil6(s117)),
% 2.50/2.04 inference(unit_resolution,[status(thm)],[7821, 7810])).
% 2.50/2.04 tff(7823,plain,
% 2.50/2.04 (((~![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))),
% 2.50/2.04 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7824,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s117, s118)) | (~xuntil6(s117)) | until5(s118))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7825,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s117, s118)) | (~xuntil6(s117)) | until5(s118)),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7824, 7823])).
% 2.50/2.05 tff(7826,plain,
% 2.50/2.05 ((~xuntil6(s117)) | until5(s118)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7825, 5548, 243])).
% 2.50/2.05 tff(7827,plain,
% 2.50/2.05 (until5(s118)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7826, 7822])).
% 2.50/2.05 tff(7828,plain,
% 2.50/2.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s118) | (~node4(s118)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s118) | (~node4(s118)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7829,plain,
% 2.50/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s118) | (~node4(s118)))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7830,plain,
% 2.50/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s118) | (~node4(s118))),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7829, 7828])).
% 2.50/2.05 tff(7831,plain,
% 2.50/2.05 (~node4(s118)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7830, 113, 5545])).
% 2.50/2.05 tff(7832,plain,
% 2.50/2.05 (((~![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)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7833,plain,
% 2.50/2.05 ((node4(s118) | (~until5(s118)) | xuntil6(s118)) <=> (xuntil6(s118) | node4(s118) | (~until5(s118)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7834,plain,
% 2.50/2.05 (((~![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))))),
% 2.50/2.05 inference(monotonicity,[status(thm)],[7833])).
% 2.50/2.05 tff(7835,plain,
% 2.50/2.05 (((~![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)))),
% 2.50/2.05 inference(transitivity,[status(thm)],[7834, 7832])).
% 2.50/2.05 tff(7836,plain,
% 2.50/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s118) | (~until5(s118)) | xuntil6(s118))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7837,plain,
% 2.50/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s118) | node4(s118) | (~until5(s118))),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7836, 7835])).
% 2.50/2.05 tff(7838,plain,
% 2.50/2.05 (xuntil6(s118) | (~until5(s118))),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7837, 225, 7831])).
% 2.50/2.05 tff(7839,plain,
% 2.50/2.05 (xuntil6(s118)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7838, 7827])).
% 2.50/2.05 tff(7840,plain,
% 2.50/2.05 (((~![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))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7841,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s118, s119)) | (~xuntil6(s118)) | until5(s119))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7842,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s118, s119)) | (~xuntil6(s118)) | until5(s119)),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7841, 7840])).
% 2.50/2.05 tff(7843,plain,
% 2.50/2.05 ((~xuntil6(s118)) | until5(s119)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7842, 5536, 243])).
% 2.50/2.05 tff(7844,plain,
% 2.50/2.05 (until5(s119)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7843, 7839])).
% 2.50/2.05 tff(7845,plain,
% 2.50/2.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s119) | (~node4(s119)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s119) | (~node4(s119)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7846,plain,
% 2.50/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s119) | (~node4(s119)))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7847,plain,
% 2.50/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s119) | (~node4(s119))),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7846, 7845])).
% 2.50/2.05 tff(7848,plain,
% 2.50/2.05 (~node4(s119)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7847, 113, 5533])).
% 2.50/2.05 tff(7849,plain,
% 2.50/2.05 (((~![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)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7850,plain,
% 2.50/2.05 ((node4(s119) | (~until5(s119)) | xuntil6(s119)) <=> (xuntil6(s119) | node4(s119) | (~until5(s119)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7851,plain,
% 2.50/2.05 (((~![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))))),
% 2.50/2.05 inference(monotonicity,[status(thm)],[7850])).
% 2.50/2.05 tff(7852,plain,
% 2.50/2.05 (((~![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)))),
% 2.50/2.05 inference(transitivity,[status(thm)],[7851, 7849])).
% 2.50/2.05 tff(7853,plain,
% 2.50/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s119) | (~until5(s119)) | xuntil6(s119))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7854,plain,
% 2.50/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s119) | node4(s119) | (~until5(s119))),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7853, 7852])).
% 2.50/2.05 tff(7855,plain,
% 2.50/2.05 (xuntil6(s119) | (~until5(s119))),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7854, 225, 7848])).
% 2.50/2.05 tff(7856,plain,
% 2.50/2.05 (xuntil6(s119)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7855, 7844])).
% 2.50/2.05 tff(7857,plain,
% 2.50/2.05 (((~![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))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7858,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s119, s120)) | (~xuntil6(s119)) | until5(s120))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7859,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s119, s120)) | (~xuntil6(s119)) | until5(s120)),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7858, 7857])).
% 2.50/2.05 tff(7860,plain,
% 2.50/2.05 ((~xuntil6(s119)) | until5(s120)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7859, 5524, 243])).
% 2.50/2.05 tff(7861,plain,
% 2.50/2.05 (until5(s120)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7860, 7856])).
% 2.50/2.05 tff(7862,plain,
% 2.50/2.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s120) | (~node4(s120)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s120) | (~node4(s120)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7863,plain,
% 2.50/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s120) | (~node4(s120)))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7864,plain,
% 2.50/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s120) | (~node4(s120))),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7863, 7862])).
% 2.50/2.05 tff(7865,plain,
% 2.50/2.05 (~node4(s120)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7864, 113, 5521])).
% 2.50/2.05 tff(7866,plain,
% 2.50/2.05 (((~![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)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7867,plain,
% 2.50/2.05 ((node4(s120) | (~until5(s120)) | xuntil6(s120)) <=> (xuntil6(s120) | node4(s120) | (~until5(s120)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7868,plain,
% 2.50/2.05 (((~![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))))),
% 2.50/2.05 inference(monotonicity,[status(thm)],[7867])).
% 2.50/2.05 tff(7869,plain,
% 2.50/2.05 (((~![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)))),
% 2.50/2.05 inference(transitivity,[status(thm)],[7868, 7866])).
% 2.50/2.05 tff(7870,plain,
% 2.50/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s120) | (~until5(s120)) | xuntil6(s120))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7871,plain,
% 2.50/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s120) | node4(s120) | (~until5(s120))),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7870, 7869])).
% 2.50/2.05 tff(7872,plain,
% 2.50/2.05 (xuntil6(s120) | (~until5(s120))),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7871, 225, 7865])).
% 2.50/2.05 tff(7873,plain,
% 2.50/2.05 (xuntil6(s120)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7872, 7861])).
% 2.50/2.05 tff(7874,plain,
% 2.50/2.05 (((~![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))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7875,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s120, s121)) | (~xuntil6(s120)) | until5(s121))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7876,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s120, s121)) | (~xuntil6(s120)) | until5(s121)),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7875, 7874])).
% 2.50/2.05 tff(7877,plain,
% 2.50/2.05 ((~xuntil6(s120)) | until5(s121)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7876, 5512, 243])).
% 2.50/2.05 tff(7878,plain,
% 2.50/2.05 (until5(s121)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7877, 7873])).
% 2.50/2.05 tff(7879,plain,
% 2.50/2.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s121) | (~node4(s121)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s121) | (~node4(s121)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7880,plain,
% 2.50/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s121) | (~node4(s121)))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7881,plain,
% 2.50/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s121) | (~node4(s121))),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7880, 7879])).
% 2.50/2.05 tff(7882,plain,
% 2.50/2.05 (~node4(s121)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7881, 113, 5509])).
% 2.50/2.05 tff(7883,plain,
% 2.50/2.05 (((~![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)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7884,plain,
% 2.50/2.05 ((node4(s121) | (~until5(s121)) | xuntil6(s121)) <=> (xuntil6(s121) | node4(s121) | (~until5(s121)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7885,plain,
% 2.50/2.05 (((~![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))))),
% 2.50/2.05 inference(monotonicity,[status(thm)],[7884])).
% 2.50/2.05 tff(7886,plain,
% 2.50/2.05 (((~![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)))),
% 2.50/2.05 inference(transitivity,[status(thm)],[7885, 7883])).
% 2.50/2.05 tff(7887,plain,
% 2.50/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s121) | (~until5(s121)) | xuntil6(s121))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7888,plain,
% 2.50/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s121) | node4(s121) | (~until5(s121))),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7887, 7886])).
% 2.50/2.05 tff(7889,plain,
% 2.50/2.05 (xuntil6(s121) | (~until5(s121))),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7888, 225, 7882])).
% 2.50/2.05 tff(7890,plain,
% 2.50/2.05 (xuntil6(s121)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7889, 7878])).
% 2.50/2.05 tff(7891,plain,
% 2.50/2.05 (((~![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))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7892,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s121, s122)) | (~xuntil6(s121)) | until5(s122))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7893,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s121, s122)) | (~xuntil6(s121)) | until5(s122)),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7892, 7891])).
% 2.50/2.05 tff(7894,plain,
% 2.50/2.05 ((~xuntil6(s121)) | until5(s122)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7893, 5500, 243])).
% 2.50/2.05 tff(7895,plain,
% 2.50/2.05 (until5(s122)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7894, 7890])).
% 2.50/2.05 tff(7896,plain,
% 2.50/2.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s122) | (~node4(s122)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s122) | (~node4(s122)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7897,plain,
% 2.50/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s122) | (~node4(s122)))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7898,plain,
% 2.50/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s122) | (~node4(s122))),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7897, 7896])).
% 2.50/2.05 tff(7899,plain,
% 2.50/2.05 (~node4(s122)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7898, 113, 5497])).
% 2.50/2.05 tff(7900,plain,
% 2.50/2.05 (((~![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)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7901,plain,
% 2.50/2.05 ((node4(s122) | (~until5(s122)) | xuntil6(s122)) <=> (xuntil6(s122) | node4(s122) | (~until5(s122)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7902,plain,
% 2.50/2.05 (((~![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))))),
% 2.50/2.05 inference(monotonicity,[status(thm)],[7901])).
% 2.50/2.05 tff(7903,plain,
% 2.50/2.05 (((~![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)))),
% 2.50/2.05 inference(transitivity,[status(thm)],[7902, 7900])).
% 2.50/2.05 tff(7904,plain,
% 2.50/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s122) | (~until5(s122)) | xuntil6(s122))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7905,plain,
% 2.50/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s122) | node4(s122) | (~until5(s122))),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7904, 7903])).
% 2.50/2.05 tff(7906,plain,
% 2.50/2.05 (xuntil6(s122) | (~until5(s122))),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7905, 225, 7899])).
% 2.50/2.05 tff(7907,plain,
% 2.50/2.05 (xuntil6(s122)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7906, 7895])).
% 2.50/2.05 tff(7908,plain,
% 2.50/2.05 (((~![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))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7909,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s122, s123)) | (~xuntil6(s122)) | until5(s123))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7910,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s122, s123)) | (~xuntil6(s122)) | until5(s123)),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7909, 7908])).
% 2.50/2.05 tff(7911,plain,
% 2.50/2.05 ((~xuntil6(s122)) | until5(s123)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7910, 5488, 243])).
% 2.50/2.05 tff(7912,plain,
% 2.50/2.05 (until5(s123)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7911, 7907])).
% 2.50/2.05 tff(7913,plain,
% 2.50/2.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s123) | (~node4(s123)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s123) | (~node4(s123)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7914,plain,
% 2.50/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s123) | (~node4(s123)))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7915,plain,
% 2.50/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s123) | (~node4(s123))),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7914, 7913])).
% 2.50/2.05 tff(7916,plain,
% 2.50/2.05 (~node4(s123)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7915, 113, 5485])).
% 2.50/2.05 tff(7917,plain,
% 2.50/2.05 (((~![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)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7918,plain,
% 2.50/2.05 ((node4(s123) | (~until5(s123)) | xuntil6(s123)) <=> (xuntil6(s123) | node4(s123) | (~until5(s123)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7919,plain,
% 2.50/2.05 (((~![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))))),
% 2.50/2.05 inference(monotonicity,[status(thm)],[7918])).
% 2.50/2.05 tff(7920,plain,
% 2.50/2.05 (((~![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)))),
% 2.50/2.05 inference(transitivity,[status(thm)],[7919, 7917])).
% 2.50/2.05 tff(7921,plain,
% 2.50/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s123) | (~until5(s123)) | xuntil6(s123))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7922,plain,
% 2.50/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s123) | node4(s123) | (~until5(s123))),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7921, 7920])).
% 2.50/2.05 tff(7923,plain,
% 2.50/2.05 (xuntil6(s123) | (~until5(s123))),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7922, 225, 7916])).
% 2.50/2.05 tff(7924,plain,
% 2.50/2.05 (xuntil6(s123)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7923, 7912])).
% 2.50/2.05 tff(7925,plain,
% 2.50/2.05 (((~![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))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7926,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s123, s124)) | (~xuntil6(s123)) | until5(s124))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7927,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s123, s124)) | (~xuntil6(s123)) | until5(s124)),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7926, 7925])).
% 2.50/2.05 tff(7928,plain,
% 2.50/2.05 ((~xuntil6(s123)) | until5(s124)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7927, 5476, 243])).
% 2.50/2.05 tff(7929,plain,
% 2.50/2.05 (until5(s124)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7928, 7924])).
% 2.50/2.05 tff(7930,plain,
% 2.50/2.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s124) | (~node4(s124)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s124) | (~node4(s124)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7931,plain,
% 2.50/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s124) | (~node4(s124)))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7932,plain,
% 2.50/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s124) | (~node4(s124))),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7931, 7930])).
% 2.50/2.05 tff(7933,plain,
% 2.50/2.05 (~node4(s124)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7932, 113, 5473])).
% 2.50/2.05 tff(7934,plain,
% 2.50/2.05 (((~![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)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7935,plain,
% 2.50/2.05 ((node4(s124) | (~until5(s124)) | xuntil6(s124)) <=> (xuntil6(s124) | node4(s124) | (~until5(s124)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7936,plain,
% 2.50/2.05 (((~![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))))),
% 2.50/2.05 inference(monotonicity,[status(thm)],[7935])).
% 2.50/2.05 tff(7937,plain,
% 2.50/2.05 (((~![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)))),
% 2.50/2.05 inference(transitivity,[status(thm)],[7936, 7934])).
% 2.50/2.05 tff(7938,plain,
% 2.50/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s124) | (~until5(s124)) | xuntil6(s124))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7939,plain,
% 2.50/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s124) | node4(s124) | (~until5(s124))),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7938, 7937])).
% 2.50/2.05 tff(7940,plain,
% 2.50/2.05 (xuntil6(s124) | (~until5(s124))),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7939, 225, 7933])).
% 2.50/2.05 tff(7941,plain,
% 2.50/2.05 (xuntil6(s124)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7940, 7929])).
% 2.50/2.05 tff(7942,plain,
% 2.50/2.05 (((~![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))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7943,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s124, s125)) | (~xuntil6(s124)) | until5(s125))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7944,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s124, s125)) | (~xuntil6(s124)) | until5(s125)),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7943, 7942])).
% 2.50/2.05 tff(7945,plain,
% 2.50/2.05 ((~xuntil6(s124)) | until5(s125)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7944, 5464, 243])).
% 2.50/2.05 tff(7946,plain,
% 2.50/2.05 (until5(s125)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7945, 7941])).
% 2.50/2.05 tff(7947,plain,
% 2.50/2.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s125) | (~node4(s125)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s125) | (~node4(s125)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7948,plain,
% 2.50/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s125) | (~node4(s125)))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7949,plain,
% 2.50/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s125) | (~node4(s125))),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7948, 7947])).
% 2.50/2.05 tff(7950,plain,
% 2.50/2.05 (~node4(s125)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7949, 113, 5461])).
% 2.50/2.05 tff(7951,plain,
% 2.50/2.05 (((~![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)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7952,plain,
% 2.50/2.05 ((node4(s125) | (~until5(s125)) | xuntil6(s125)) <=> (xuntil6(s125) | node4(s125) | (~until5(s125)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7953,plain,
% 2.50/2.05 (((~![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))))),
% 2.50/2.05 inference(monotonicity,[status(thm)],[7952])).
% 2.50/2.05 tff(7954,plain,
% 2.50/2.05 (((~![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)))),
% 2.50/2.05 inference(transitivity,[status(thm)],[7953, 7951])).
% 2.50/2.05 tff(7955,plain,
% 2.50/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s125) | (~until5(s125)) | xuntil6(s125))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7956,plain,
% 2.50/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s125) | node4(s125) | (~until5(s125))),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7955, 7954])).
% 2.50/2.05 tff(7957,plain,
% 2.50/2.05 (xuntil6(s125) | (~until5(s125))),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7956, 225, 7950])).
% 2.50/2.05 tff(7958,plain,
% 2.50/2.05 (xuntil6(s125)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7957, 7946])).
% 2.50/2.05 tff(7959,plain,
% 2.50/2.05 (((~![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))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7960,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s125, s126)) | (~xuntil6(s125)) | until5(s126))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7961,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s125, s126)) | (~xuntil6(s125)) | until5(s126)),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7960, 7959])).
% 2.50/2.05 tff(7962,plain,
% 2.50/2.05 ((~xuntil6(s125)) | until5(s126)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7961, 5452, 243])).
% 2.50/2.05 tff(7963,plain,
% 2.50/2.05 (until5(s126)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7962, 7958])).
% 2.50/2.05 tff(7964,plain,
% 2.50/2.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s126) | (~node4(s126)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s126) | (~node4(s126)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7965,plain,
% 2.50/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s126) | (~node4(s126)))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7966,plain,
% 2.50/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s126) | (~node4(s126))),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7965, 7964])).
% 2.50/2.05 tff(7967,plain,
% 2.50/2.05 (~node4(s126)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7966, 113, 5449])).
% 2.50/2.05 tff(7968,plain,
% 2.50/2.05 (((~![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)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7969,plain,
% 2.50/2.05 ((node4(s126) | (~until5(s126)) | xuntil6(s126)) <=> (xuntil6(s126) | node4(s126) | (~until5(s126)))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7970,plain,
% 2.50/2.05 (((~![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))))),
% 2.50/2.05 inference(monotonicity,[status(thm)],[7969])).
% 2.50/2.05 tff(7971,plain,
% 2.50/2.05 (((~![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)))),
% 2.50/2.05 inference(transitivity,[status(thm)],[7970, 7968])).
% 2.50/2.05 tff(7972,plain,
% 2.50/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s126) | (~until5(s126)) | xuntil6(s126))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7973,plain,
% 2.50/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s126) | node4(s126) | (~until5(s126))),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7972, 7971])).
% 2.50/2.05 tff(7974,plain,
% 2.50/2.05 (xuntil6(s126) | (~until5(s126))),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7973, 225, 7967])).
% 2.50/2.05 tff(7975,plain,
% 2.50/2.05 (xuntil6(s126)),
% 2.50/2.05 inference(unit_resolution,[status(thm)],[7974, 7963])).
% 2.50/2.05 tff(7976,plain,
% 2.50/2.05 (((~![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))),
% 2.50/2.05 inference(rewrite,[status(thm)],[])).
% 2.50/2.05 tff(7977,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s126, s127)) | (~xuntil6(s126)) | until5(s127))),
% 2.50/2.05 inference(quant_inst,[status(thm)],[])).
% 2.50/2.05 tff(7978,plain,
% 2.50/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s126, s127)) | (~xuntil6(s126)) | until5(s127)),
% 2.50/2.05 inference(modus_ponens,[status(thm)],[7977, 7976])).
% 2.50/2.05 tff(7979,plain,
% 2.50/2.05 ((~xuntil6(s126)) | until5(s127)),
% 2.58/2.05 inference(unit_resolution,[status(thm)],[7978, 5440, 243])).
% 2.58/2.05 tff(7980,plain,
% 2.58/2.05 (until5(s127)),
% 2.58/2.05 inference(unit_resolution,[status(thm)],[7979, 7975])).
% 2.58/2.05 tff(7981,plain,
% 2.58/2.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s127) | (~node4(s127)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s127) | (~node4(s127)))),
% 2.58/2.05 inference(rewrite,[status(thm)],[])).
% 2.58/2.05 tff(7982,plain,
% 2.58/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s127) | (~node4(s127)))),
% 2.58/2.05 inference(quant_inst,[status(thm)],[])).
% 2.58/2.05 tff(7983,plain,
% 2.58/2.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s127) | (~node4(s127))),
% 2.58/2.05 inference(modus_ponens,[status(thm)],[7982, 7981])).
% 2.58/2.05 tff(7984,plain,
% 2.58/2.05 (~node4(s127)),
% 2.58/2.05 inference(unit_resolution,[status(thm)],[7983, 113, 5437])).
% 2.58/2.05 tff(7985,plain,
% 2.58/2.05 (((~![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)))),
% 2.58/2.05 inference(rewrite,[status(thm)],[])).
% 2.58/2.05 tff(7986,plain,
% 2.58/2.05 ((node4(s127) | (~until5(s127)) | xuntil6(s127)) <=> (xuntil6(s127) | node4(s127) | (~until5(s127)))),
% 2.58/2.05 inference(rewrite,[status(thm)],[])).
% 2.58/2.05 tff(7987,plain,
% 2.58/2.05 (((~![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))))),
% 2.58/2.05 inference(monotonicity,[status(thm)],[7986])).
% 2.58/2.05 tff(7988,plain,
% 2.58/2.05 (((~![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)))),
% 2.58/2.05 inference(transitivity,[status(thm)],[7987, 7985])).
% 2.58/2.05 tff(7989,plain,
% 2.58/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s127) | (~until5(s127)) | xuntil6(s127))),
% 2.58/2.05 inference(quant_inst,[status(thm)],[])).
% 2.58/2.05 tff(7990,plain,
% 2.58/2.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s127) | node4(s127) | (~until5(s127))),
% 2.58/2.05 inference(modus_ponens,[status(thm)],[7989, 7988])).
% 2.58/2.05 tff(7991,plain,
% 2.58/2.05 (xuntil6(s127) | (~until5(s127))),
% 2.58/2.05 inference(unit_resolution,[status(thm)],[7990, 225, 7984])).
% 2.58/2.05 tff(7992,plain,
% 2.58/2.05 (xuntil6(s127)),
% 2.58/2.05 inference(unit_resolution,[status(thm)],[7991, 7980])).
% 2.58/2.05 tff(7993,plain,
% 2.58/2.05 (((~![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))),
% 2.58/2.05 inference(rewrite,[status(thm)],[])).
% 2.58/2.05 tff(7994,plain,
% 2.58/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s127, s128)) | (~xuntil6(s127)) | until5(s128))),
% 2.58/2.05 inference(quant_inst,[status(thm)],[])).
% 2.58/2.05 tff(7995,plain,
% 2.58/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s127, s128)) | (~xuntil6(s127)) | until5(s128)),
% 2.58/2.05 inference(modus_ponens,[status(thm)],[7994, 7993])).
% 2.58/2.05 tff(7996,plain,
% 2.58/2.05 ((~xuntil6(s127)) | until5(s128)),
% 2.58/2.05 inference(unit_resolution,[status(thm)],[7995, 5428, 243])).
% 2.58/2.05 tff(7997,plain,
% 2.58/2.05 ($false),
% 2.58/2.05 inference(unit_resolution,[status(thm)],[7996, 7992, 5425])).
% 2.58/2.05 tff(7998,plain,(always3(s174) | xuntil6(s174)), inference(lemma,lemma(discharge,[]))).
% 2.58/2.05 tff(7999,plain,
% 2.58/2.05 (xuntil6(s174)),
% 2.58/2.05 inference(unit_resolution,[status(thm)],[7998, 3974])).
% 2.58/2.05 tff(8000,plain,
% 2.58/2.05 (((~![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))),
% 2.58/2.05 inference(rewrite,[status(thm)],[])).
% 2.58/2.05 tff(8001,plain,
% 2.58/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s174, s175)) | (~xuntil6(s174)) | until5(s175))),
% 2.58/2.05 inference(quant_inst,[status(thm)],[])).
% 2.58/2.05 tff(8002,plain,
% 2.58/2.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s174, s175)) | (~xuntil6(s174)) | until5(s175)),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8001, 8000])).
% 2.58/2.06 tff(8003,plain,
% 2.58/2.06 ((~xuntil6(s174)) | until5(s175)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8002, 3965, 243])).
% 2.58/2.06 tff(8004,plain,
% 2.58/2.06 (until5(s175)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8003, 7999])).
% 2.58/2.06 tff(8005,assumption,(~always3(s180)), introduced(assumption)).
% 2.58/2.06 tff(8006,plain,
% 2.58/2.06 (~always3(s179)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[3913, 8005])).
% 2.58/2.06 tff(8007,plain,
% 2.58/2.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s179) | (~node4(s179)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s179) | (~node4(s179)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8008,plain,
% 2.58/2.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s179) | (~node4(s179)))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8009,plain,
% 2.58/2.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s179) | (~node4(s179))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8008, 8007])).
% 2.58/2.06 tff(8010,plain,
% 2.58/2.06 (~node4(s179)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8009, 113, 8006])).
% 2.58/2.06 tff(8011,plain,
% 2.58/2.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s180) | (~node4(s180)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s180) | (~node4(s180)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8012,plain,
% 2.58/2.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s180) | (~node4(s180)))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8013,plain,
% 2.58/2.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s180) | (~node4(s180))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8012, 8011])).
% 2.58/2.06 tff(8014,plain,
% 2.58/2.06 (~node4(s180)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8013, 113, 8005])).
% 2.58/2.06 tff(8015,assumption,(~xuntil6(s180)), introduced(assumption)).
% 2.58/2.06 tff(8016,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8017,plain,
% 2.58/2.06 ((node4(s180) | (~until5(s180)) | xuntil6(s180)) <=> (xuntil6(s180) | node4(s180) | (~until5(s180)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8018,plain,
% 2.58/2.06 (((~![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))))),
% 2.58/2.06 inference(monotonicity,[status(thm)],[8017])).
% 2.58/2.06 tff(8019,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(transitivity,[status(thm)],[8018, 8016])).
% 2.58/2.06 tff(8020,plain,
% 2.58/2.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s180) | (~until5(s180)) | xuntil6(s180))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8021,plain,
% 2.58/2.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s180) | node4(s180) | (~until5(s180))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8020, 8019])).
% 2.58/2.06 tff(8022,plain,
% 2.58/2.06 (node4(s180) | (~until5(s180))),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8021, 225, 8015])).
% 2.58/2.06 tff(8023,plain,
% 2.58/2.06 (~until5(s180)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8022, 8014])).
% 2.58/2.06 tff(8024,plain,
% 2.58/2.06 (((~![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))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8025,plain,
% 2.58/2.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s179, s180)) | (~xuntil6(s179)) | until5(s180))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8026,plain,
% 2.58/2.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s179, s180)) | (~xuntil6(s179)) | until5(s180)),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8025, 8024])).
% 2.58/2.06 tff(8027,plain,
% 2.58/2.06 ((~xuntil6(s179)) | until5(s180)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8026, 3905, 243])).
% 2.58/2.06 tff(8028,plain,
% 2.58/2.06 (~xuntil6(s179)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8027, 8023])).
% 2.58/2.06 tff(8029,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8030,plain,
% 2.58/2.06 ((node4(s179) | (~until5(s179)) | xuntil6(s179)) <=> (xuntil6(s179) | node4(s179) | (~until5(s179)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8031,plain,
% 2.58/2.06 (((~![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))))),
% 2.58/2.06 inference(monotonicity,[status(thm)],[8030])).
% 2.58/2.06 tff(8032,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(transitivity,[status(thm)],[8031, 8029])).
% 2.58/2.06 tff(8033,plain,
% 2.58/2.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s179) | (~until5(s179)) | xuntil6(s179))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8034,plain,
% 2.58/2.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s179) | node4(s179) | (~until5(s179))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8033, 8032])).
% 2.58/2.06 tff(8035,plain,
% 2.58/2.06 (~until5(s179)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8034, 225, 8028, 8010])).
% 2.58/2.06 tff(8036,plain,
% 2.58/2.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s178, s179)) | (~xuntil6(s178)) | until5(s179))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s178, s179)) | (~xuntil6(s178)) | until5(s179))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8037,plain,
% 2.58/2.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s178, s179)) | (~xuntil6(s178)) | until5(s179))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8038,plain,
% 2.58/2.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s178, s179)) | (~xuntil6(s178)) | until5(s179)),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8037, 8036])).
% 2.58/2.06 tff(8039,plain,
% 2.58/2.06 ((~xuntil6(s178)) | until5(s179)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8038, 3917, 243])).
% 2.58/2.06 tff(8040,plain,
% 2.58/2.06 (~xuntil6(s178)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8039, 8035])).
% 2.58/2.06 tff(8041,plain,
% 2.58/2.06 (~always3(s178)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[3925, 8006])).
% 2.58/2.06 tff(8042,plain,
% 2.58/2.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s178) | (~node4(s178)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s178) | (~node4(s178)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8043,plain,
% 2.58/2.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s178) | (~node4(s178)))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8044,plain,
% 2.58/2.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s178) | (~node4(s178))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8043, 8042])).
% 2.58/2.06 tff(8045,plain,
% 2.58/2.06 (~node4(s178)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8044, 113, 8041])).
% 2.58/2.06 tff(8046,plain,
% 2.58/2.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s178) | node4(s178) | (~until5(s178)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s178) | node4(s178) | (~until5(s178)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8047,plain,
% 2.58/2.06 ((node4(s178) | (~until5(s178)) | xuntil6(s178)) <=> (xuntil6(s178) | node4(s178) | (~until5(s178)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8048,plain,
% 2.58/2.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s178) | (~until5(s178)) | xuntil6(s178))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s178) | node4(s178) | (~until5(s178))))),
% 2.58/2.06 inference(monotonicity,[status(thm)],[8047])).
% 2.58/2.06 tff(8049,plain,
% 2.58/2.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s178) | (~until5(s178)) | xuntil6(s178))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s178) | node4(s178) | (~until5(s178)))),
% 2.58/2.06 inference(transitivity,[status(thm)],[8048, 8046])).
% 2.58/2.06 tff(8050,plain,
% 2.58/2.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s178) | (~until5(s178)) | xuntil6(s178))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8051,plain,
% 2.58/2.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s178) | node4(s178) | (~until5(s178))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8050, 8049])).
% 2.58/2.06 tff(8052,plain,
% 2.58/2.06 (xuntil6(s178) | (~until5(s178))),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8051, 225, 8045])).
% 2.58/2.06 tff(8053,plain,
% 2.58/2.06 (~until5(s178)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8052, 8040])).
% 2.58/2.06 tff(8054,plain,
% 2.58/2.06 (~always3(s177)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[3937, 8041])).
% 2.58/2.06 tff(8055,plain,
% 2.58/2.06 (~always3(s176)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[3949, 8054])).
% 2.58/2.06 tff(8056,plain,
% 2.58/2.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s176) | (~node4(s176)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s176) | (~node4(s176)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8057,plain,
% 2.58/2.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s176) | (~node4(s176)))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8058,plain,
% 2.58/2.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s176) | (~node4(s176))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8057, 8056])).
% 2.58/2.06 tff(8059,plain,
% 2.58/2.06 (~node4(s176)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8058, 113, 8055])).
% 2.58/2.06 tff(8060,plain,
% 2.58/2.06 (~always3(s175)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[3961, 8055])).
% 2.58/2.06 tff(8061,plain,
% 2.58/2.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s175) | (~node4(s175)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s175) | (~node4(s175)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8062,plain,
% 2.58/2.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s175) | (~node4(s175)))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8063,plain,
% 2.58/2.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s175) | (~node4(s175))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8062, 8061])).
% 2.58/2.06 tff(8064,plain,
% 2.58/2.06 (~node4(s175)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8063, 113, 8060])).
% 2.58/2.06 tff(8065,assumption,(until5(s175)), introduced(assumption)).
% 2.58/2.06 tff(8066,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8067,plain,
% 2.58/2.06 ((node4(s175) | (~until5(s175)) | xuntil6(s175)) <=> (xuntil6(s175) | node4(s175) | (~until5(s175)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8068,plain,
% 2.58/2.06 (((~![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))))),
% 2.58/2.06 inference(monotonicity,[status(thm)],[8067])).
% 2.58/2.06 tff(8069,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(transitivity,[status(thm)],[8068, 8066])).
% 2.58/2.06 tff(8070,plain,
% 2.58/2.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s175) | (~until5(s175)) | xuntil6(s175))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8071,plain,
% 2.58/2.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s175) | node4(s175) | (~until5(s175))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8070, 8069])).
% 2.58/2.06 tff(8072,plain,
% 2.58/2.06 (xuntil6(s175) | node4(s175)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8071, 225, 8065])).
% 2.58/2.06 tff(8073,plain,
% 2.58/2.06 (xuntil6(s175)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8072, 8064])).
% 2.58/2.06 tff(8074,plain,
% 2.58/2.06 (((~![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))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8075,plain,
% 2.58/2.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s175, s176)) | (~xuntil6(s175)) | until5(s176))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8076,plain,
% 2.58/2.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s175, s176)) | (~xuntil6(s175)) | until5(s176)),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8075, 8074])).
% 2.58/2.06 tff(8077,plain,
% 2.58/2.06 ((~xuntil6(s175)) | until5(s176)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8076, 3953, 243])).
% 2.58/2.06 tff(8078,plain,
% 2.58/2.06 (until5(s176)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8077, 8073])).
% 2.58/2.06 tff(8079,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8080,plain,
% 2.58/2.06 ((node4(s176) | (~until5(s176)) | xuntil6(s176)) <=> (xuntil6(s176) | node4(s176) | (~until5(s176)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8081,plain,
% 2.58/2.06 (((~![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))))),
% 2.58/2.06 inference(monotonicity,[status(thm)],[8080])).
% 2.58/2.06 tff(8082,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(transitivity,[status(thm)],[8081, 8079])).
% 2.58/2.06 tff(8083,plain,
% 2.58/2.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s176) | (~until5(s176)) | xuntil6(s176))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8084,plain,
% 2.58/2.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s176) | node4(s176) | (~until5(s176))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8083, 8082])).
% 2.58/2.06 tff(8085,plain,
% 2.58/2.06 (xuntil6(s176)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8084, 225, 8078, 8059])).
% 2.58/2.06 tff(8086,plain,
% 2.58/2.06 (((~![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))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8087,plain,
% 2.58/2.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s176, s177)) | (~xuntil6(s176)) | until5(s177))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8088,plain,
% 2.58/2.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s176, s177)) | (~xuntil6(s176)) | until5(s177)),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8087, 8086])).
% 2.58/2.06 tff(8089,plain,
% 2.58/2.06 ((~xuntil6(s176)) | until5(s177)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8088, 3941, 243])).
% 2.58/2.06 tff(8090,plain,
% 2.58/2.06 (until5(s177)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8089, 8085])).
% 2.58/2.06 tff(8091,plain,
% 2.58/2.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s177) | (~node4(s177)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s177) | (~node4(s177)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8092,plain,
% 2.58/2.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s177) | (~node4(s177)))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8093,plain,
% 2.58/2.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s177) | (~node4(s177))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8092, 8091])).
% 2.58/2.06 tff(8094,plain,
% 2.58/2.06 (~node4(s177)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8093, 113, 8054])).
% 2.58/2.06 tff(8095,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8096,plain,
% 2.58/2.06 ((node4(s177) | (~until5(s177)) | xuntil6(s177)) <=> (xuntil6(s177) | node4(s177) | (~until5(s177)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8097,plain,
% 2.58/2.06 (((~![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))))),
% 2.58/2.06 inference(monotonicity,[status(thm)],[8096])).
% 2.58/2.06 tff(8098,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(transitivity,[status(thm)],[8097, 8095])).
% 2.58/2.06 tff(8099,plain,
% 2.58/2.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s177) | (~until5(s177)) | xuntil6(s177))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8100,plain,
% 2.58/2.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s177) | node4(s177) | (~until5(s177))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8099, 8098])).
% 2.58/2.06 tff(8101,plain,
% 2.58/2.06 (xuntil6(s177) | (~until5(s177))),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8100, 225, 8094])).
% 2.58/2.06 tff(8102,plain,
% 2.58/2.06 (xuntil6(s177)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8101, 8090])).
% 2.58/2.06 tff(8103,plain,
% 2.58/2.06 (((~![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))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8104,plain,
% 2.58/2.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s177, s178)) | (~xuntil6(s177)) | until5(s178))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8105,plain,
% 2.58/2.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s177, s178)) | (~xuntil6(s177)) | until5(s178)),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8104, 8103])).
% 2.58/2.06 tff(8106,plain,
% 2.58/2.06 ((~xuntil6(s177)) | until5(s178)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8105, 3929, 243])).
% 2.58/2.06 tff(8107,plain,
% 2.58/2.06 ($false),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8106, 8102, 8053])).
% 2.58/2.06 tff(8108,plain,(always3(s180) | (~until5(s175)) | xuntil6(s180)), inference(lemma,lemma(discharge,[]))).
% 2.58/2.06 tff(8109,plain,
% 2.58/2.06 (xuntil6(s180)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8108, 8004, 3902])).
% 2.58/2.06 tff(8110,plain,
% 2.58/2.06 (((~![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))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8111,plain,
% 2.58/2.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s180, s181)) | (~xuntil6(s180)) | until5(s181))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8112,plain,
% 2.58/2.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s180, s181)) | (~xuntil6(s180)) | until5(s181)),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8111, 8110])).
% 2.58/2.06 tff(8113,plain,
% 2.58/2.06 ((~xuntil6(s180)) | until5(s181)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8112, 3893, 243])).
% 2.58/2.06 tff(8114,plain,
% 2.58/2.06 (until5(s181)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8113, 8109])).
% 2.58/2.06 tff(8115,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8116,plain,
% 2.58/2.06 ((node4(s181) | (~until5(s181)) | xuntil6(s181)) <=> (xuntil6(s181) | node4(s181) | (~until5(s181)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8117,plain,
% 2.58/2.06 (((~![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))))),
% 2.58/2.06 inference(monotonicity,[status(thm)],[8116])).
% 2.58/2.06 tff(8118,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(transitivity,[status(thm)],[8117, 8115])).
% 2.58/2.06 tff(8119,plain,
% 2.58/2.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s181) | (~until5(s181)) | xuntil6(s181))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8120,plain,
% 2.58/2.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s181) | node4(s181) | (~until5(s181))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8119, 8118])).
% 2.58/2.06 tff(8121,plain,
% 2.58/2.06 (xuntil6(s181) | node4(s181)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8120, 225, 8114])).
% 2.58/2.06 tff(8122,plain,
% 2.58/2.06 (xuntil6(s181)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8121, 3890])).
% 2.58/2.06 tff(8123,plain,
% 2.58/2.06 (((~![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))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8124,plain,
% 2.58/2.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s181, s182)) | (~xuntil6(s181)) | until5(s182))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8125,plain,
% 2.58/2.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s181, s182)) | (~xuntil6(s181)) | until5(s182)),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8124, 8123])).
% 2.58/2.06 tff(8126,plain,
% 2.58/2.06 ((~xuntil6(s181)) | until5(s182)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8125, 3877, 243])).
% 2.58/2.06 tff(8127,plain,
% 2.58/2.06 (until5(s182)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8126, 8122])).
% 2.58/2.06 tff(8128,assumption,(node4(s182)), introduced(assumption)).
% 2.58/2.06 tff(8129,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8130,plain,
% 2.58/2.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s182) | (~node4(s182)))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8131,plain,
% 2.58/2.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s182) | (~node4(s182))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8130, 8129])).
% 2.58/2.06 tff(8132,plain,
% 2.58/2.06 (m_main_v_request(s182)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8131, 63, 8128])).
% 2.58/2.06 tff(8133,plain,
% 2.58/2.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s182) | (~node4(s182)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s182) | (~node4(s182)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8134,plain,
% 2.58/2.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s182) | (~node4(s182)))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8135,plain,
% 2.58/2.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s182) | (~node4(s182))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8134, 8133])).
% 2.58/2.06 tff(8136,plain,
% 2.58/2.06 (always3(s182)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8135, 113, 8128])).
% 2.58/2.06 tff(8137,plain,
% 2.58/2.06 (always3(s183)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[3873, 8136])).
% 2.58/2.06 tff(8138,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8139,plain,
% 2.58/2.06 (((~m_main_v_state(s183, c_busy)) | (~always3(s183))) <=> ((~always3(s183)) | (~m_main_v_state(s183, c_busy)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8140,plain,
% 2.58/2.06 (((~![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))))),
% 2.58/2.06 inference(monotonicity,[status(thm)],[8139])).
% 2.58/2.06 tff(8141,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(transitivity,[status(thm)],[8140, 8138])).
% 2.58/2.06 tff(8142,plain,
% 2.58/2.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s183, c_busy)) | (~always3(s183)))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8143,plain,
% 2.58/2.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s183)) | (~m_main_v_state(s183, c_busy))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8142, 8141])).
% 2.58/2.06 tff(8144,plain,
% 2.58/2.06 (~m_main_v_state(s183, c_busy)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8143, 145, 8137])).
% 2.58/2.06 tff(8145,plain,
% 2.58/2.06 (((~![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))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8146,plain,
% 2.58/2.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s182, s183)) | node2(s182, s183))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8147,plain,
% 2.58/2.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s182, s183)) | node2(s182, s183)),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8146, 8145])).
% 2.58/2.06 tff(8148,plain,
% 2.58/2.06 (node2(s182, s183)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8147, 7, 3869])).
% 2.58/2.06 tff(8149,plain,
% 2.58/2.06 (((~![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(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)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8150,plain,
% 2.58/2.06 ((~![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(s182, c_ready)) | (~node2(s182, s183)) | m_main_v_state(s183, c_busy) | (~m_main_v_request(s182)))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8151,plain,
% 2.58/2.06 ((~![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(s182, c_ready)) | (~node2(s182, s183)) | m_main_v_state(s183, c_busy) | (~m_main_v_request(s182))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8150, 8149])).
% 2.58/2.06 tff(8152,plain,
% 2.58/2.06 ((~m_main_v_state(s182, c_ready)) | m_main_v_state(s183, c_busy) | (~m_main_v_request(s182))),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8151, 166, 8148])).
% 2.58/2.06 tff(8153,plain,
% 2.58/2.06 (~m_main_v_state(s182, c_ready)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8152, 8144, 8132])).
% 2.58/2.06 tff(8154,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8155,plain,
% 2.58/2.06 (((~m_main_v_state(s182, c_busy)) | (~always3(s182))) <=> ((~always3(s182)) | (~m_main_v_state(s182, c_busy)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8156,plain,
% 2.58/2.06 (((~![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))))),
% 2.58/2.06 inference(monotonicity,[status(thm)],[8155])).
% 2.58/2.06 tff(8157,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(transitivity,[status(thm)],[8156, 8154])).
% 2.58/2.06 tff(8158,plain,
% 2.58/2.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s182, c_busy)) | (~always3(s182)))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8159,plain,
% 2.58/2.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s182)) | (~m_main_v_state(s182, c_busy))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8158, 8157])).
% 2.58/2.06 tff(8160,plain,
% 2.58/2.06 (~m_main_v_state(s182, c_busy)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8159, 145, 8136])).
% 2.58/2.06 tff(8161,plain,
% 2.58/2.06 (((~![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))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8162,plain,
% 2.58/2.06 ((~![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))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8163,plain,
% 2.58/2.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s182, c_busy) | m_main_v_state(s182, c_ready)),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8162, 8161])).
% 2.58/2.06 tff(8164,plain,
% 2.58/2.06 ($false),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8163, 188, 8160, 8153])).
% 2.58/2.06 tff(8165,plain,(~node4(s182)), inference(lemma,lemma(discharge,[]))).
% 2.58/2.06 tff(8166,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8167,plain,
% 2.58/2.06 ((node4(s182) | (~until5(s182)) | xuntil6(s182)) <=> (xuntil6(s182) | node4(s182) | (~until5(s182)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8168,plain,
% 2.58/2.06 (((~![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))))),
% 2.58/2.06 inference(monotonicity,[status(thm)],[8167])).
% 2.58/2.06 tff(8169,plain,
% 2.58/2.06 (((~![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)))),
% 2.58/2.06 inference(transitivity,[status(thm)],[8168, 8166])).
% 2.58/2.06 tff(8170,plain,
% 2.58/2.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s182) | (~until5(s182)) | xuntil6(s182))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8171,plain,
% 2.58/2.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s182) | node4(s182) | (~until5(s182))),
% 2.58/2.06 inference(modus_ponens,[status(thm)],[8170, 8169])).
% 2.58/2.06 tff(8172,plain,
% 2.58/2.06 (xuntil6(s182) | (~until5(s182))),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8171, 225, 8165])).
% 2.58/2.06 tff(8173,plain,
% 2.58/2.06 (xuntil6(s182)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8172, 8127])).
% 2.58/2.06 tff(8174,plain,
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% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8175,plain,
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% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
% 2.58/2.06 tff(8176,plain,
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% 2.58/2.06 inference(modus_ponens,[status(thm)],[8175, 8174])).
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% 2.58/2.06 ((~xuntil6(s182)) | until5(s183)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8176, 3865, 243])).
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% 2.58/2.06 (until5(s183)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8177, 8173])).
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% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8180,plain,
% 2.58/2.06 ((node4(s183) | (~until5(s183)) | xuntil6(s183)) <=> (xuntil6(s183) | node4(s183) | (~until5(s183)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8181,plain,
% 2.58/2.06 (((~![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))))),
% 2.58/2.06 inference(monotonicity,[status(thm)],[8180])).
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% 2.58/2.06 inference(transitivity,[status(thm)],[8181, 8179])).
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% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
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% 2.58/2.06 inference(modus_ponens,[status(thm)],[8183, 8182])).
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% 2.58/2.06 (xuntil6(s183)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8184, 225, 8178, 3862])).
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% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8187,plain,
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% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
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% 2.58/2.06 inference(modus_ponens,[status(thm)],[8187, 8186])).
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% 2.58/2.06 ((~xuntil6(s183)) | until5(s184)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8188, 3849, 243])).
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% 2.58/2.06 (until5(s184)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8189, 8185])).
% 2.58/2.06 tff(8191,assumption,(~always3(s187)), introduced(assumption)).
% 2.58/2.06 tff(8192,plain,
% 2.58/2.06 (~always3(s186)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[3821, 8191])).
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% 2.58/2.06 inference(rewrite,[status(thm)],[])).
% 2.58/2.06 tff(8194,plain,
% 2.58/2.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s186) | (~node4(s186)))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
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% 2.58/2.06 inference(modus_ponens,[status(thm)],[8194, 8193])).
% 2.58/2.06 tff(8196,plain,
% 2.58/2.06 (~node4(s186)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8195, 113, 8192])).
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% 2.58/2.06 inference(rewrite,[status(thm)],[])).
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% 2.58/2.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s187) | (~node4(s187)))),
% 2.58/2.06 inference(quant_inst,[status(thm)],[])).
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% 2.58/2.06 inference(modus_ponens,[status(thm)],[8198, 8197])).
% 2.58/2.06 tff(8200,plain,
% 2.58/2.06 (~node4(s187)),
% 2.58/2.06 inference(unit_resolution,[status(thm)],[8199, 113, 8191])).
% 2.58/2.06 tff(8201,assumption,(~xuntil6(s187)), introduced(assumption)).
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% 2.58/2.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s187) | node4(s187) | (~until5(s187)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s187) | node4(s187) | (~until5(s187)))),
% 2.58/2.06 inference(rewrite,[status(thm)],[])).
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% 2.58/2.06 ((node4(s187) | (~until5(s187)) | xuntil6(s187)) <=> (xuntil6(s187) | node4(s187) | (~until5(s187)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8204,plain,
% 2.58/2.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s187) | (~until5(s187)) | xuntil6(s187))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s187) | node4(s187) | (~until5(s187))))),
% 2.58/2.07 inference(monotonicity,[status(thm)],[8203])).
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% 2.58/2.07 inference(transitivity,[status(thm)],[8204, 8202])).
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% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
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% 2.58/2.07 inference(modus_ponens,[status(thm)],[8206, 8205])).
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% 2.58/2.07 (node4(s187) | (~until5(s187))),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8207, 225, 8201])).
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% 2.58/2.07 (~until5(s187)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8208, 8200])).
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% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8211,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s186, s187)) | (~xuntil6(s186)) | until5(s187))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
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% 2.58/2.07 inference(modus_ponens,[status(thm)],[8211, 8210])).
% 2.58/2.07 tff(8213,plain,
% 2.58/2.07 ((~xuntil6(s186)) | until5(s187)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8212, 3813, 243])).
% 2.58/2.07 tff(8214,plain,
% 2.58/2.07 (~xuntil6(s186)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8213, 8209])).
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% 2.58/2.07 inference(rewrite,[status(thm)],[])).
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% 2.58/2.07 ((node4(s186) | (~until5(s186)) | xuntil6(s186)) <=> (xuntil6(s186) | node4(s186) | (~until5(s186)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
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% 2.58/2.07 (((~![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))))),
% 2.58/2.07 inference(monotonicity,[status(thm)],[8216])).
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% 2.58/2.07 inference(transitivity,[status(thm)],[8217, 8215])).
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% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
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% 2.58/2.07 inference(modus_ponens,[status(thm)],[8219, 8218])).
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% 2.58/2.07 inference(unit_resolution,[status(thm)],[8220, 225, 8214, 8196])).
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% 2.58/2.07 (~always3(s185)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[3833, 8192])).
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% 2.58/2.07 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s185) | (~node4(s185)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s185) | (~node4(s185)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
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% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
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% 2.58/2.07 inference(modus_ponens,[status(thm)],[8224, 8223])).
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% 2.58/2.07 (~node4(s185)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8225, 113, 8222])).
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% 2.58/2.07 inference(unit_resolution,[status(thm)],[3845, 8222])).
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% 2.58/2.07 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s184) | (~node4(s184)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s184) | (~node4(s184)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
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% 2.58/2.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s184) | (~node4(s184)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
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% 2.58/2.07 inference(modus_ponens,[status(thm)],[8229, 8228])).
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% 2.58/2.07 (~node4(s184)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8230, 113, 8227])).
% 2.58/2.07 tff(8232,assumption,(until5(s184)), introduced(assumption)).
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% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8234,plain,
% 2.58/2.07 ((node4(s184) | (~until5(s184)) | xuntil6(s184)) <=> (xuntil6(s184) | node4(s184) | (~until5(s184)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8235,plain,
% 2.58/2.07 (((~![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))))),
% 2.58/2.07 inference(monotonicity,[status(thm)],[8234])).
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% 2.58/2.07 inference(transitivity,[status(thm)],[8235, 8233])).
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% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
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% 2.58/2.07 inference(modus_ponens,[status(thm)],[8237, 8236])).
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% 2.58/2.07 inference(unit_resolution,[status(thm)],[8238, 225, 8232])).
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% 2.58/2.07 inference(unit_resolution,[status(thm)],[8239, 8231])).
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% 2.58/2.07 inference(rewrite,[status(thm)],[])).
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% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
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% 2.58/2.07 inference(modus_ponens,[status(thm)],[8242, 8241])).
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% 2.58/2.07 inference(unit_resolution,[status(thm)],[8243, 3837, 243])).
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% 2.58/2.07 inference(unit_resolution,[status(thm)],[8244, 8240])).
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% 2.58/2.07 inference(rewrite,[status(thm)],[])).
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% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8248,plain,
% 2.58/2.07 (((~![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))))),
% 2.58/2.07 inference(monotonicity,[status(thm)],[8247])).
% 2.58/2.07 tff(8249,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(transitivity,[status(thm)],[8248, 8246])).
% 2.58/2.07 tff(8250,plain,
% 2.58/2.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s185) | (~until5(s185)) | xuntil6(s185))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8251,plain,
% 2.58/2.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s185) | node4(s185) | (~until5(s185))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8250, 8249])).
% 2.58/2.07 tff(8252,plain,
% 2.58/2.07 (xuntil6(s185)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8251, 225, 8245, 8226])).
% 2.58/2.07 tff(8253,plain,
% 2.58/2.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s185, s186)) | (~xuntil6(s185)) | until5(s186))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s185, s186)) | (~xuntil6(s185)) | until5(s186))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8254,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s185, s186)) | (~xuntil6(s185)) | until5(s186))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8255,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s185, s186)) | (~xuntil6(s185)) | until5(s186)),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8254, 8253])).
% 2.58/2.07 tff(8256,plain,
% 2.58/2.07 ((~xuntil6(s185)) | until5(s186)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8255, 3825, 243])).
% 2.58/2.07 tff(8257,plain,
% 2.58/2.07 ($false),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8256, 8252, 8221])).
% 2.58/2.07 tff(8258,plain,(always3(s187) | (~until5(s184)) | xuntil6(s187)), inference(lemma,lemma(discharge,[]))).
% 2.58/2.07 tff(8259,plain,
% 2.58/2.07 (xuntil6(s187)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8258, 8190, 3810])).
% 2.58/2.07 tff(8260,plain,
% 2.58/2.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s187, s188)) | (~xuntil6(s187)) | until5(s188))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s187, s188)) | (~xuntil6(s187)) | until5(s188))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8261,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s187, s188)) | (~xuntil6(s187)) | until5(s188))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8262,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s187, s188)) | (~xuntil6(s187)) | until5(s188)),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8261, 8260])).
% 2.58/2.07 tff(8263,plain,
% 2.58/2.07 ((~xuntil6(s187)) | until5(s188)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8262, 3801, 243])).
% 2.58/2.07 tff(8264,plain,
% 2.58/2.07 ($false),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8263, 8259, 3797])).
% 2.58/2.07 tff(8265,plain,(always3(s199) | xuntil6(s199)), inference(lemma,lemma(discharge,[]))).
% 2.58/2.07 tff(8266,plain,
% 2.58/2.07 (xuntil6(s199)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8265, 3252])).
% 2.58/2.07 tff(8267,plain,
% 2.58/2.07 ($false),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[3605, 113, 3252, 56])).
% 2.58/2.07 tff(8268,plain,((~node4(s199)) | always3(s199)), inference(lemma,lemma(discharge,[]))).
% 2.58/2.07 tff(8269,plain,
% 2.58/2.07 (~node4(s199)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8268, 3252])).
% 2.58/2.07 tff(8270,plain,
% 2.58/2.07 (^[X: $i] : refl(((~last(X)) | (~xuntil2p8(X))) <=> ((~last(X)) | (~xuntil2p8(X))))),
% 2.58/2.07 inference(bind,[status(th)],[])).
% 2.58/2.07 tff(8271,plain,
% 2.58/2.07 (![X: $i] : ((~last(X)) | (~xuntil2p8(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 2.58/2.07 inference(quant_intro,[status(thm)],[8270])).
% 2.58/2.07 tff(8272,plain,
% 2.58/2.07 (![X: $i] : ((~last(X)) | (~xuntil2p8(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8273,axiom,(![X: $i] : ((~last(X)) | (~xuntil2p8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty12')).
% 2.58/2.07 tff(8274,plain,
% 2.58/2.07 (![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8273, 8272])).
% 2.58/2.07 tff(8275,plain,(
% 2.58/2.07 ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 2.58/2.07 inference(skolemize,[status(sab)],[8274])).
% 2.58/2.07 tff(8276,plain,
% 2.58/2.07 (![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8275, 8271])).
% 2.58/2.07 tff(8277,plain,
% 2.58/2.07 (last(s199) <=> last(s199)),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8278,axiom,(last(s199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound200')).
% 2.58/2.07 tff(8279,plain,
% 2.58/2.07 (last(s199)),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8278, 8277])).
% 2.58/2.07 tff(8280,plain,
% 2.58/2.07 (((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | ((~last(s199)) | (~xuntil2p8(s199)))) <=> ((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | (~last(s199)) | (~xuntil2p8(s199)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8281,plain,
% 2.58/2.07 ((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | ((~last(s199)) | (~xuntil2p8(s199)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8282,plain,
% 2.58/2.07 ((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | (~last(s199)) | (~xuntil2p8(s199))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8281, 8280])).
% 2.58/2.07 tff(8283,plain,
% 2.58/2.07 (~xuntil2p8(s199)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8282, 8279, 8276])).
% 2.58/2.07 tff(8284,plain,
% 2.58/2.07 (^[X: $i] : refl((node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> (node4(X) | xuntil2p8(X) | (~until2p7(X))))),
% 2.58/2.07 inference(bind,[status(th)],[])).
% 2.58/2.07 tff(8285,plain,
% 2.58/2.07 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 2.58/2.07 inference(quant_intro,[status(thm)],[8284])).
% 2.58/2.07 tff(8286,plain,
% 2.58/2.07 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8287,plain,
% 2.58/2.07 (^[X: $i] : rewrite(((node4(X) | xuntil2p8(X)) | (~until2p7(X))) <=> (node4(X) | xuntil2p8(X) | (~until2p7(X))))),
% 2.58/2.07 inference(bind,[status(th)],[])).
% 2.58/2.07 tff(8288,plain,
% 2.58/2.07 (![X: $i] : ((node4(X) | xuntil2p8(X)) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 2.58/2.07 inference(quant_intro,[status(thm)],[8287])).
% 2.58/2.07 tff(8289,axiom,(![X: $i] : ((node4(X) | xuntil2p8(X)) | (~until2p7(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty10')).
% 2.58/2.07 tff(8290,plain,
% 2.58/2.07 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8289, 8288])).
% 2.58/2.07 tff(8291,plain,
% 2.58/2.07 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8290, 8286])).
% 2.58/2.07 tff(8292,plain,(
% 2.58/2.07 ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 2.58/2.07 inference(skolemize,[status(sab)],[8291])).
% 2.58/2.07 tff(8293,plain,
% 2.58/2.07 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8292, 8285])).
% 2.58/2.07 tff(8294,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8295,plain,
% 2.58/2.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s199) | xuntil2p8(s199) | (~until2p7(s199)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8296,plain,
% 2.58/2.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s199) | xuntil2p8(s199) | (~until2p7(s199))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8295, 8294])).
% 2.58/2.07 tff(8297,plain,
% 2.58/2.07 (node4(s199) | (~until2p7(s199))),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8296, 8293, 8283])).
% 2.58/2.07 tff(8298,plain,
% 2.58/2.07 (~until2p7(s199)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8297, 8269])).
% 2.58/2.07 tff(8299,plain,
% 2.58/2.07 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))))),
% 2.58/2.07 inference(bind,[status(th)],[])).
% 2.58/2.07 tff(8300,plain,
% 2.58/2.07 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 2.58/2.07 inference(quant_intro,[status(thm)],[8299])).
% 2.58/2.07 tff(8301,plain,
% 2.58/2.07 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8302,plain,
% 2.58/2.07 (^[Y: $i, X: $i] : rewrite(((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X))) <=> ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))))),
% 2.58/2.07 inference(bind,[status(th)],[])).
% 2.58/2.07 tff(8303,plain,
% 2.58/2.07 (![Y: $i, X: $i] : ((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 2.58/2.07 inference(quant_intro,[status(thm)],[8302])).
% 2.58/2.07 tff(8304,axiom,(![Y: $i, X: $i] : ((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty11')).
% 2.58/2.07 tff(8305,plain,
% 2.58/2.07 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8304, 8303])).
% 2.58/2.07 tff(8306,plain,
% 2.58/2.07 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8305, 8301])).
% 2.58/2.07 tff(8307,plain,(
% 2.58/2.07 ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 2.58/2.07 inference(skolemize,[status(sab)],[8306])).
% 2.58/2.07 tff(8308,plain,
% 2.58/2.07 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8307, 8300])).
% 2.58/2.07 tff(8309,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8310,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s198, s199)) | until2p7(s199) | (~xuntil2p8(s198)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8311,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s198, s199)) | until2p7(s199) | (~xuntil2p8(s198))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8310, 8309])).
% 2.58/2.07 tff(8312,plain,
% 2.58/2.07 (until2p7(s199) | (~xuntil2p8(s198))),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8311, 3255, 8308])).
% 2.58/2.07 tff(8313,plain,
% 2.58/2.07 (~xuntil2p8(s198)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8312, 8298])).
% 2.58/2.07 tff(8314,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8315,plain,
% 2.58/2.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s198) | xuntil2p8(s198) | (~until2p7(s198)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8316,plain,
% 2.58/2.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s198) | xuntil2p8(s198) | (~until2p7(s198))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8315, 8314])).
% 2.58/2.07 tff(8317,plain,
% 2.58/2.07 (xuntil2p8(s198) | (~until2p7(s198))),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8316, 8293, 3582])).
% 2.58/2.07 tff(8318,plain,
% 2.58/2.07 (~until2p7(s198)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8317, 8313])).
% 2.58/2.07 tff(8319,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8320,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s197, s198)) | until2p7(s198) | (~xuntil2p8(s197)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8321,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s197, s198)) | until2p7(s198) | (~xuntil2p8(s197))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8320, 8319])).
% 2.58/2.07 tff(8322,plain,
% 2.58/2.07 (until2p7(s198) | (~xuntil2p8(s197))),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8321, 3270, 8308])).
% 2.58/2.07 tff(8323,plain,
% 2.58/2.07 (~xuntil2p8(s197)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8322, 8318])).
% 2.58/2.07 tff(8324,assumption,(node4(s197)), introduced(assumption)).
% 2.58/2.07 tff(8325,plain,
% 2.58/2.07 (always3(s197)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[3387, 113, 8324])).
% 2.58/2.07 tff(8326,assumption,(~m_main_v_state(s198, c_busy)), introduced(assumption)).
% 2.58/2.07 tff(8327,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8328,plain,
% 2.58/2.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s197) | (~node4(s197)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8329,plain,
% 2.58/2.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s197) | (~node4(s197))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8328, 8327])).
% 2.58/2.07 tff(8330,plain,
% 2.58/2.07 (m_main_v_request(s197)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8329, 63, 8324])).
% 2.58/2.07 tff(8331,plain,
% 2.58/2.07 (((~![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))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8332,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s197, s198)) | node2(s197, s198))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8333,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s197, s198)) | node2(s197, s198)),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8332, 8331])).
% 2.58/2.07 tff(8334,plain,
% 2.58/2.07 (node2(s197, s198)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8333, 7, 3274])).
% 2.58/2.07 tff(8335,plain,
% 2.58/2.07 (((~![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(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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8336,plain,
% 2.58/2.07 ((~![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(s197, c_ready)) | (~node2(s197, s198)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s197)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8337,plain,
% 2.58/2.07 ((~![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(s197, c_ready)) | (~node2(s197, s198)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s197))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8336, 8335])).
% 2.58/2.07 tff(8338,plain,
% 2.58/2.07 ((~m_main_v_state(s197, c_ready)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s197))),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8337, 166, 8334])).
% 2.58/2.07 tff(8339,plain,
% 2.58/2.07 (~m_main_v_state(s197, c_ready)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8338, 8330, 8326])).
% 2.58/2.07 tff(8340,plain,
% 2.58/2.07 (~m_main_v_state(s197, c_busy)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[3496, 145, 8325])).
% 2.58/2.07 tff(8341,plain,
% 2.58/2.07 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s197, c_busy) | m_main_v_state(s197, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s197, c_busy) | m_main_v_state(s197, c_ready))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8342,plain,
% 2.58/2.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s197, c_busy) | m_main_v_state(s197, c_ready))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8343,plain,
% 2.58/2.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s197, c_busy) | m_main_v_state(s197, c_ready)),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8342, 8341])).
% 2.58/2.07 tff(8344,plain,
% 2.58/2.07 ($false),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8343, 188, 8340, 8339])).
% 2.58/2.07 tff(8345,plain,((~node4(s197)) | m_main_v_state(s198, c_busy)), inference(lemma,lemma(discharge,[]))).
% 2.58/2.07 tff(8346,plain,
% 2.58/2.07 (m_main_v_state(s198, c_busy)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8345, 8324])).
% 2.58/2.07 tff(8347,plain,
% 2.58/2.07 (~always3(s198)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[3576, 145, 8346])).
% 2.58/2.07 tff(8348,plain,
% 2.58/2.07 ($false),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[3278, 8347, 8325])).
% 2.58/2.07 tff(8349,plain,(~node4(s197)), inference(lemma,lemma(discharge,[]))).
% 2.58/2.07 tff(8350,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8351,plain,
% 2.58/2.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s197) | xuntil2p8(s197) | (~until2p7(s197)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8352,plain,
% 2.58/2.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s197) | xuntil2p8(s197) | (~until2p7(s197))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8351, 8350])).
% 2.58/2.07 tff(8353,plain,
% 2.58/2.07 (xuntil2p8(s197) | (~until2p7(s197))),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8352, 8293, 8349])).
% 2.58/2.07 tff(8354,plain,
% 2.58/2.07 (~until2p7(s197)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8353, 8323])).
% 2.58/2.07 tff(8355,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8356,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s196, s197)) | until2p7(s197) | (~xuntil2p8(s196)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8357,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s196, s197)) | until2p7(s197) | (~xuntil2p8(s196))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8356, 8355])).
% 2.58/2.07 tff(8358,plain,
% 2.58/2.07 (until2p7(s197) | (~xuntil2p8(s196))),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8357, 3282, 8308])).
% 2.58/2.07 tff(8359,plain,
% 2.58/2.07 (~xuntil2p8(s196)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8358, 8354])).
% 2.58/2.07 tff(8360,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8361,plain,
% 2.58/2.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s196) | xuntil2p8(s196) | (~until2p7(s196)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8362,plain,
% 2.58/2.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s196) | xuntil2p8(s196) | (~until2p7(s196))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8361, 8360])).
% 2.58/2.07 tff(8363,plain,
% 2.58/2.07 (xuntil2p8(s196) | (~until2p7(s196))),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8362, 8293, 3518])).
% 2.58/2.07 tff(8364,plain,
% 2.58/2.07 (~until2p7(s196)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8363, 8359])).
% 2.58/2.07 tff(8365,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8366,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s195, s196)) | until2p7(s196) | (~xuntil2p8(s195)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8367,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s195, s196)) | until2p7(s196) | (~xuntil2p8(s195))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8366, 8365])).
% 2.58/2.07 tff(8368,plain,
% 2.58/2.07 (until2p7(s196) | (~xuntil2p8(s195))),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8367, 3294, 8308])).
% 2.58/2.07 tff(8369,plain,
% 2.58/2.07 (~xuntil2p8(s195)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8368, 8364])).
% 2.58/2.07 tff(8370,plain,
% 2.58/2.07 (~node4(s195)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[3472, 113, 3303])).
% 2.58/2.07 tff(8371,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8372,plain,
% 2.58/2.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s195) | xuntil2p8(s195) | (~until2p7(s195)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8373,plain,
% 2.58/2.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s195) | xuntil2p8(s195) | (~until2p7(s195))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8372, 8371])).
% 2.58/2.07 tff(8374,plain,
% 2.58/2.07 (xuntil2p8(s195) | (~until2p7(s195))),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8373, 8293, 8370])).
% 2.58/2.07 tff(8375,plain,
% 2.58/2.07 (~until2p7(s195)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8374, 8369])).
% 2.58/2.07 tff(8376,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8377,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s194, s195)) | until2p7(s195) | (~xuntil2p8(s194)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8378,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s194, s195)) | until2p7(s195) | (~xuntil2p8(s194))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8377, 8376])).
% 2.58/2.07 tff(8379,plain,
% 2.58/2.07 (until2p7(s195) | (~xuntil2p8(s194))),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8378, 3306, 8308])).
% 2.58/2.07 tff(8380,plain,
% 2.58/2.07 (~xuntil2p8(s194)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8379, 8375])).
% 2.58/2.07 tff(8381,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8382,plain,
% 2.58/2.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s194) | xuntil2p8(s194) | (~until2p7(s194)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8383,plain,
% 2.58/2.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s194) | xuntil2p8(s194) | (~until2p7(s194))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8382, 8381])).
% 2.58/2.07 tff(8384,plain,
% 2.58/2.07 (xuntil2p8(s194) | (~until2p7(s194))),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8383, 8293, 3447])).
% 2.58/2.07 tff(8385,plain,
% 2.58/2.07 (~until2p7(s194)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8384, 8380])).
% 2.58/2.07 tff(8386,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8387,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s193, s194)) | until2p7(s194) | (~xuntil2p8(s193)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8388,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s193, s194)) | until2p7(s194) | (~xuntil2p8(s193))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8387, 8386])).
% 2.58/2.07 tff(8389,plain,
% 2.58/2.07 (until2p7(s194) | (~xuntil2p8(s193))),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8388, 3318, 8308])).
% 2.58/2.07 tff(8390,plain,
% 2.58/2.07 (~xuntil2p8(s193)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8389, 8385])).
% 2.58/2.07 tff(8391,plain,
% 2.58/2.07 (~node4(s193)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[3395, 113, 3327])).
% 2.58/2.07 tff(8392,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8393,plain,
% 2.58/2.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s193) | xuntil2p8(s193) | (~until2p7(s193)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8394,plain,
% 2.58/2.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s193) | xuntil2p8(s193) | (~until2p7(s193))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8393, 8392])).
% 2.58/2.07 tff(8395,plain,
% 2.58/2.07 (xuntil2p8(s193) | (~until2p7(s193))),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8394, 8293, 8391])).
% 2.58/2.07 tff(8396,plain,
% 2.58/2.07 (~until2p7(s193)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8395, 8390])).
% 2.58/2.07 tff(8397,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8398,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s192, s193)) | until2p7(s193) | (~xuntil2p8(s192)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8399,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s192, s193)) | until2p7(s193) | (~xuntil2p8(s192))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8398, 8397])).
% 2.58/2.07 tff(8400,plain,
% 2.58/2.07 (until2p7(s193) | (~xuntil2p8(s192))),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8399, 3330, 8308])).
% 2.58/2.07 tff(8401,plain,
% 2.58/2.07 (~xuntil2p8(s192)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8400, 8396])).
% 2.58/2.07 tff(8402,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8403,plain,
% 2.58/2.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s192) | xuntil2p8(s192) | (~until2p7(s192)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8404,plain,
% 2.58/2.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s192) | xuntil2p8(s192) | (~until2p7(s192))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8403, 8402])).
% 2.58/2.07 tff(8405,plain,
% 2.58/2.07 (xuntil2p8(s192) | (~until2p7(s192))),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8404, 8293, 3651])).
% 2.58/2.07 tff(8406,plain,
% 2.58/2.07 (~until2p7(s192)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8405, 8401])).
% 2.58/2.07 tff(8407,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8408,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s191, s192)) | until2p7(s192) | (~xuntil2p8(s191)))),
% 2.58/2.07 inference(quant_inst,[status(thm)],[])).
% 2.58/2.07 tff(8409,plain,
% 2.58/2.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s191, s192)) | until2p7(s192) | (~xuntil2p8(s191))),
% 2.58/2.07 inference(modus_ponens,[status(thm)],[8408, 8407])).
% 2.58/2.07 tff(8410,plain,
% 2.58/2.07 (until2p7(s192) | (~xuntil2p8(s191))),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8409, 3342, 8308])).
% 2.58/2.07 tff(8411,plain,
% 2.58/2.07 (~xuntil2p8(s191)),
% 2.58/2.07 inference(unit_resolution,[status(thm)],[8410, 8406])).
% 2.58/2.07 tff(8412,assumption,(node4(s191)), introduced(assumption)).
% 2.58/2.07 tff(8413,plain,
% 2.58/2.07 (((~![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)))),
% 2.58/2.07 inference(rewrite,[status(thm)],[])).
% 2.58/2.07 tff(8414,plain,
% 2.58/2.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s191) | (~node4(s191)))),
% 2.58/2.08 inference(quant_inst,[status(thm)],[])).
% 2.58/2.08 tff(8415,plain,
% 2.58/2.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s191) | (~node4(s191))),
% 2.58/2.08 inference(modus_ponens,[status(thm)],[8414, 8413])).
% 2.58/2.08 tff(8416,plain,
% 2.58/2.08 (m_main_v_request(s191)),
% 2.58/2.08 inference(unit_resolution,[status(thm)],[8415, 63, 8412])).
% 2.58/2.08 tff(8417,plain,
% 2.58/2.08 (always3(s191)),
% 2.58/2.08 inference(unit_resolution,[status(thm)],[3382, 113, 8412])).
% 2.58/2.08 tff(8418,plain,
% 2.58/2.08 (always3(s192)),
% 2.58/2.08 inference(unit_resolution,[status(thm)],[3350, 8417])).
% 2.58/2.08 tff(8419,plain,
% 2.58/2.08 (~m_main_v_state(s192, c_busy)),
% 2.58/2.08 inference(unit_resolution,[status(thm)],[3645, 145, 8418])).
% 2.58/2.08 tff(8420,plain,
% 2.58/2.08 (((~![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))),
% 2.58/2.08 inference(rewrite,[status(thm)],[])).
% 2.58/2.08 tff(8421,plain,
% 2.58/2.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s191, s192)) | node2(s191, s192))),
% 2.58/2.08 inference(quant_inst,[status(thm)],[])).
% 2.58/2.08 tff(8422,plain,
% 2.58/2.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s191, s192)) | node2(s191, s192)),
% 2.58/2.08 inference(modus_ponens,[status(thm)],[8421, 8420])).
% 2.58/2.08 tff(8423,plain,
% 2.58/2.08 (node2(s191, s192)),
% 2.58/2.08 inference(unit_resolution,[status(thm)],[8422, 7, 3346])).
% 2.58/2.08 tff(8424,plain,
% 2.58/2.08 (((~![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(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)))),
% 2.58/2.08 inference(rewrite,[status(thm)],[])).
% 2.58/2.08 tff(8425,plain,
% 2.58/2.08 ((~![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(s191, c_ready)) | (~node2(s191, s192)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s191)))),
% 2.58/2.08 inference(quant_inst,[status(thm)],[])).
% 2.58/2.08 tff(8426,plain,
% 2.58/2.08 ((~![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(s191, c_ready)) | (~node2(s191, s192)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s191))),
% 2.58/2.08 inference(modus_ponens,[status(thm)],[8425, 8424])).
% 2.58/2.08 tff(8427,plain,
% 2.58/2.08 ((~m_main_v_state(s191, c_ready)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s191))),
% 2.58/2.08 inference(unit_resolution,[status(thm)],[8426, 166, 8423])).
% 2.58/2.08 tff(8428,plain,
% 2.58/2.08 (~m_main_v_state(s191, c_ready)),
% 2.58/2.08 inference(unit_resolution,[status(thm)],[8427, 8419, 8416])).
% 2.58/2.08 tff(8429,plain,
% 2.58/2.08 (~m_main_v_state(s191, c_busy)),
% 2.58/2.08 inference(unit_resolution,[status(thm)],[3693, 145, 8417])).
% 2.58/2.08 tff(8430,plain,
% 2.58/2.08 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s191, c_busy) | m_main_v_state(s191, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s191, c_busy) | m_main_v_state(s191, c_ready))),
% 2.58/2.08 inference(rewrite,[status(thm)],[])).
% 2.58/2.08 tff(8431,plain,
% 2.58/2.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s191, c_busy) | m_main_v_state(s191, c_ready))),
% 2.58/2.08 inference(quant_inst,[status(thm)],[])).
% 2.58/2.08 tff(8432,plain,
% 2.58/2.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s191, c_busy) | m_main_v_state(s191, c_ready)),
% 2.58/2.08 inference(modus_ponens,[status(thm)],[8431, 8430])).
% 2.58/2.08 tff(8433,plain,
% 2.58/2.08 ($false),
% 2.58/2.08 inference(unit_resolution,[status(thm)],[8432, 188, 8429, 8428])).
% 2.58/2.08 tff(8434,plain,(~node4(s191)), inference(lemma,lemma(discharge,[]))).
% 2.58/2.08 tff(8435,plain,
% 2.58/2.08 (((~![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)))),
% 2.58/2.08 inference(rewrite,[status(thm)],[])).
% 2.58/2.08 tff(8436,plain,
% 2.58/2.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s191) | xuntil2p8(s191) | (~until2p7(s191)))),
% 2.58/2.08 inference(quant_inst,[status(thm)],[])).
% 2.58/2.08 tff(8437,plain,
% 2.58/2.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s191) | xuntil2p8(s191) | (~until2p7(s191))),
% 2.58/2.08 inference(modus_ponens,[status(thm)],[8436, 8435])).
% 2.58/2.08 tff(8438,plain,
% 2.58/2.08 (xuntil2p8(s191) | (~until2p7(s191))),
% 2.58/2.08 inference(unit_resolution,[status(thm)],[8437, 8293, 8434])).
% 2.58/2.08 tff(8439,plain,
% 2.58/2.08 (~until2p7(s191)),
% 2.58/2.08 inference(unit_resolution,[status(thm)],[8438, 8411])).
% 2.58/2.08 tff(8440,plain,
% 2.58/2.08 (((~![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)))),
% 2.58/2.08 inference(rewrite,[status(thm)],[])).
% 2.58/2.08 tff(8441,plain,
% 2.58/2.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s190, s191)) | until2p7(s191) | (~xuntil2p8(s190)))),
% 2.58/2.08 inference(quant_inst,[status(thm)],[])).
% 2.58/2.08 tff(8442,plain,
% 2.58/2.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s190, s191)) | until2p7(s191) | (~xuntil2p8(s190))),
% 2.58/2.08 inference(modus_ponens,[status(thm)],[8441, 8440])).
% 2.58/2.08 tff(8443,plain,
% 2.58/2.08 (until2p7(s191) | (~xuntil2p8(s190))),
% 2.58/2.08 inference(unit_resolution,[status(thm)],[8442, 3354, 8308])).
% 2.58/2.08 tff(8444,plain,
% 2.58/2.08 (~xuntil2p8(s190)),
% 2.58/2.08 inference(unit_resolution,[status(thm)],[8443, 8439])).
% 2.58/2.08 tff(8445,plain,
% 2.58/2.08 (((~![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)))),
% 2.58/2.08 inference(rewrite,[status(thm)],[])).
% 2.58/2.08 tff(8446,plain,
% 2.58/2.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s190) | xuntil2p8(s190) | (~until2p7(s190)))),
% 2.58/2.08 inference(quant_inst,[status(thm)],[])).
% 2.58/2.08 tff(8447,plain,
% 2.58/2.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s190) | xuntil2p8(s190) | (~until2p7(s190))),
% 2.58/2.08 inference(modus_ponens,[status(thm)],[8446, 8445])).
% 2.58/2.08 tff(8448,plain,
% 2.58/2.08 (xuntil2p8(s190) | (~until2p7(s190))),
% 2.58/2.08 inference(unit_resolution,[status(thm)],[8447, 8293, 3715])).
% 2.58/2.08 tff(8449,plain,
% 2.58/2.08 (~until2p7(s190)),
% 2.58/2.08 inference(unit_resolution,[status(thm)],[8448, 8444])).
% 2.58/2.08 tff(8450,plain,
% 2.58/2.08 (((~![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)))),
% 2.58/2.08 inference(rewrite,[status(thm)],[])).
% 2.58/2.08 tff(8451,plain,
% 2.58/2.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s189, s190)) | until2p7(s190) | (~xuntil2p8(s189)))),
% 2.58/2.08 inference(quant_inst,[status(thm)],[])).
% 2.58/2.08 tff(8452,plain,
% 2.58/2.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s189, s190)) | until2p7(s190) | (~xuntil2p8(s189))),
% 2.58/2.08 inference(modus_ponens,[status(thm)],[8451, 8450])).
% 2.58/2.08 tff(8453,plain,
% 2.58/2.08 (until2p7(s190) | (~xuntil2p8(s189))),
% 2.58/2.08 inference(unit_resolution,[status(thm)],[8452, 3366, 8308])).
% 2.58/2.08 tff(8454,plain,
% 2.58/2.08 (~xuntil2p8(s189)),
% 2.58/2.08 inference(unit_resolution,[status(thm)],[8453, 8449])).
% 2.58/2.08 tff(8455,plain,
% 2.58/2.08 (((~![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)))),
% 2.58/2.08 inference(rewrite,[status(thm)],[])).
% 2.58/2.08 tff(8456,plain,
% 2.58/2.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s189) | xuntil2p8(s189) | (~until2p7(s189)))),
% 2.58/2.08 inference(quant_inst,[status(thm)],[])).
% 2.58/2.08 tff(8457,plain,
% 2.58/2.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s189) | xuntil2p8(s189) | (~until2p7(s189))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8456, 8455])).
% 2.60/2.08 tff(8458,plain,
% 2.60/2.08 (xuntil2p8(s189) | (~until2p7(s189))),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8457, 8293, 3379])).
% 2.60/2.08 tff(8459,plain,
% 2.60/2.08 (~until2p7(s189)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8458, 8454])).
% 2.60/2.08 tff(8460,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8461,plain,
% 2.60/2.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s188, s189)) | until2p7(s189) | (~xuntil2p8(s188)))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8462,plain,
% 2.60/2.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s188, s189)) | until2p7(s189) | (~xuntil2p8(s188))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8461, 8460])).
% 2.60/2.08 tff(8463,plain,
% 2.60/2.08 (until2p7(s189) | (~xuntil2p8(s188))),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8462, 3738, 8308])).
% 2.60/2.08 tff(8464,plain,
% 2.60/2.08 (~xuntil2p8(s188)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8463, 8459])).
% 2.60/2.08 tff(8465,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8466,plain,
% 2.60/2.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s188) | xuntil2p8(s188) | (~until2p7(s188)))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8467,plain,
% 2.60/2.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s188) | xuntil2p8(s188) | (~until2p7(s188))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8466, 8465])).
% 2.60/2.08 tff(8468,plain,
% 2.60/2.08 (xuntil2p8(s188) | (~until2p7(s188))),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8467, 8293, 3789])).
% 2.60/2.08 tff(8469,plain,
% 2.60/2.08 (~until2p7(s188)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8468, 8464])).
% 2.60/2.08 tff(8470,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8471,plain,
% 2.60/2.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s187, s188)) | until2p7(s188) | (~xuntil2p8(s187)))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8472,plain,
% 2.60/2.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s187, s188)) | until2p7(s188) | (~xuntil2p8(s187))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8471, 8470])).
% 2.60/2.08 tff(8473,plain,
% 2.60/2.08 (until2p7(s188) | (~xuntil2p8(s187))),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8472, 3801, 8308])).
% 2.60/2.08 tff(8474,plain,
% 2.60/2.08 (~xuntil2p8(s187)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8473, 8469])).
% 2.60/2.08 tff(8475,plain,
% 2.60/2.08 (~node4(s187)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8199, 113, 3810])).
% 2.60/2.08 tff(8476,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8477,plain,
% 2.60/2.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s187) | xuntil2p8(s187) | (~until2p7(s187)))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8478,plain,
% 2.60/2.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s187) | xuntil2p8(s187) | (~until2p7(s187))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8477, 8476])).
% 2.60/2.08 tff(8479,plain,
% 2.60/2.08 (xuntil2p8(s187) | (~until2p7(s187))),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8478, 8293, 8475])).
% 2.60/2.08 tff(8480,plain,
% 2.60/2.08 (~until2p7(s187)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8479, 8474])).
% 2.60/2.08 tff(8481,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8482,plain,
% 2.60/2.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s186, s187)) | until2p7(s187) | (~xuntil2p8(s186)))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8483,plain,
% 2.60/2.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s186, s187)) | until2p7(s187) | (~xuntil2p8(s186))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8482, 8481])).
% 2.60/2.08 tff(8484,plain,
% 2.60/2.08 (until2p7(s187) | (~xuntil2p8(s186))),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8483, 3813, 8308])).
% 2.60/2.08 tff(8485,plain,
% 2.60/2.08 (~xuntil2p8(s186)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8484, 8480])).
% 2.60/2.08 tff(8486,assumption,(node4(s186)), introduced(assumption)).
% 2.60/2.08 tff(8487,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8488,plain,
% 2.60/2.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s186) | (~node4(s186)))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8489,plain,
% 2.60/2.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s186) | (~node4(s186))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8488, 8487])).
% 2.60/2.08 tff(8490,plain,
% 2.60/2.08 (m_main_v_request(s186)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8489, 63, 8486])).
% 2.60/2.08 tff(8491,plain,
% 2.60/2.08 (always3(s186)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8195, 113, 8486])).
% 2.60/2.08 tff(8492,plain,
% 2.60/2.08 (always3(s187)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[3821, 8491])).
% 2.60/2.08 tff(8493,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8494,plain,
% 2.60/2.08 (((~m_main_v_state(s187, c_busy)) | (~always3(s187))) <=> ((~always3(s187)) | (~m_main_v_state(s187, c_busy)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8495,plain,
% 2.60/2.08 (((~![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))))),
% 2.60/2.08 inference(monotonicity,[status(thm)],[8494])).
% 2.60/2.08 tff(8496,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(transitivity,[status(thm)],[8495, 8493])).
% 2.60/2.08 tff(8497,plain,
% 2.60/2.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s187, c_busy)) | (~always3(s187)))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8498,plain,
% 2.60/2.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s187)) | (~m_main_v_state(s187, c_busy))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8497, 8496])).
% 2.60/2.08 tff(8499,plain,
% 2.60/2.08 (~m_main_v_state(s187, c_busy)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8498, 145, 8492])).
% 2.60/2.08 tff(8500,plain,
% 2.60/2.08 (((~![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))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8501,plain,
% 2.60/2.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s186, s187)) | node2(s186, s187))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8502,plain,
% 2.60/2.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s186, s187)) | node2(s186, s187)),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8501, 8500])).
% 2.60/2.08 tff(8503,plain,
% 2.60/2.08 (node2(s186, s187)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8502, 7, 3817])).
% 2.60/2.08 tff(8504,plain,
% 2.60/2.08 (((~![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(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)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8505,plain,
% 2.60/2.08 ((~![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(s186, c_ready)) | (~node2(s186, s187)) | m_main_v_state(s187, c_busy) | (~m_main_v_request(s186)))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8506,plain,
% 2.60/2.08 ((~![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(s186, c_ready)) | (~node2(s186, s187)) | m_main_v_state(s187, c_busy) | (~m_main_v_request(s186))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8505, 8504])).
% 2.60/2.08 tff(8507,plain,
% 2.60/2.08 ((~m_main_v_state(s186, c_ready)) | m_main_v_state(s187, c_busy) | (~m_main_v_request(s186))),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8506, 166, 8503])).
% 2.60/2.08 tff(8508,plain,
% 2.60/2.08 (~m_main_v_state(s186, c_ready)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8507, 8499, 8490])).
% 2.60/2.08 tff(8509,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8510,plain,
% 2.60/2.08 (((~m_main_v_state(s186, c_busy)) | (~always3(s186))) <=> ((~always3(s186)) | (~m_main_v_state(s186, c_busy)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8511,plain,
% 2.60/2.08 (((~![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))))),
% 2.60/2.08 inference(monotonicity,[status(thm)],[8510])).
% 2.60/2.08 tff(8512,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(transitivity,[status(thm)],[8511, 8509])).
% 2.60/2.08 tff(8513,plain,
% 2.60/2.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s186, c_busy)) | (~always3(s186)))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8514,plain,
% 2.60/2.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s186)) | (~m_main_v_state(s186, c_busy))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8513, 8512])).
% 2.60/2.08 tff(8515,plain,
% 2.60/2.08 (~m_main_v_state(s186, c_busy)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8514, 145, 8491])).
% 2.60/2.08 tff(8516,plain,
% 2.60/2.08 (((~![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))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8517,plain,
% 2.60/2.08 ((~![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))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8518,plain,
% 2.60/2.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s186, c_busy) | m_main_v_state(s186, c_ready)),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8517, 8516])).
% 2.60/2.08 tff(8519,plain,
% 2.60/2.08 ($false),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8518, 188, 8515, 8508])).
% 2.60/2.08 tff(8520,plain,(~node4(s186)), inference(lemma,lemma(discharge,[]))).
% 2.60/2.08 tff(8521,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8522,plain,
% 2.60/2.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s186) | xuntil2p8(s186) | (~until2p7(s186)))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8523,plain,
% 2.60/2.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s186) | xuntil2p8(s186) | (~until2p7(s186))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8522, 8521])).
% 2.60/2.08 tff(8524,plain,
% 2.60/2.08 (xuntil2p8(s186) | (~until2p7(s186))),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8523, 8293, 8520])).
% 2.60/2.08 tff(8525,plain,
% 2.60/2.08 (~until2p7(s186)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8524, 8485])).
% 2.60/2.08 tff(8526,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8527,plain,
% 2.60/2.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s185, s186)) | until2p7(s186) | (~xuntil2p8(s185)))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8528,plain,
% 2.60/2.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s185, s186)) | until2p7(s186) | (~xuntil2p8(s185))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8527, 8526])).
% 2.60/2.08 tff(8529,plain,
% 2.60/2.08 (until2p7(s186) | (~xuntil2p8(s185))),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8528, 3825, 8308])).
% 2.60/2.08 tff(8530,plain,
% 2.60/2.08 (~xuntil2p8(s185)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8529, 8525])).
% 2.60/2.08 tff(8531,plain,
% 2.60/2.08 (~node4(s185)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8225, 113, 3834])).
% 2.60/2.08 tff(8532,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8533,plain,
% 2.60/2.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s185) | xuntil2p8(s185) | (~until2p7(s185)))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8534,plain,
% 2.60/2.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s185) | xuntil2p8(s185) | (~until2p7(s185))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8533, 8532])).
% 2.60/2.08 tff(8535,plain,
% 2.60/2.08 (xuntil2p8(s185) | (~until2p7(s185))),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8534, 8293, 8531])).
% 2.60/2.08 tff(8536,plain,
% 2.60/2.08 (~until2p7(s185)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8535, 8530])).
% 2.60/2.08 tff(8537,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8538,plain,
% 2.60/2.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s184, s185)) | until2p7(s185) | (~xuntil2p8(s184)))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8539,plain,
% 2.60/2.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s184, s185)) | until2p7(s185) | (~xuntil2p8(s184))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8538, 8537])).
% 2.60/2.08 tff(8540,plain,
% 2.60/2.08 (until2p7(s185) | (~xuntil2p8(s184))),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8539, 3837, 8308])).
% 2.60/2.08 tff(8541,plain,
% 2.60/2.08 (~xuntil2p8(s184)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8540, 8536])).
% 2.60/2.08 tff(8542,assumption,(node4(s184)), introduced(assumption)).
% 2.60/2.08 tff(8543,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8544,plain,
% 2.60/2.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s184) | (~node4(s184)))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8545,plain,
% 2.60/2.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s184) | (~node4(s184))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8544, 8543])).
% 2.60/2.08 tff(8546,plain,
% 2.60/2.08 (m_main_v_request(s184)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8545, 63, 8542])).
% 2.60/2.08 tff(8547,plain,
% 2.60/2.08 (always3(s184)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8230, 113, 8542])).
% 2.60/2.08 tff(8548,plain,
% 2.60/2.08 (always3(s185)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[3845, 8547])).
% 2.60/2.08 tff(8549,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8550,plain,
% 2.60/2.08 (((~m_main_v_state(s185, c_busy)) | (~always3(s185))) <=> ((~always3(s185)) | (~m_main_v_state(s185, c_busy)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8551,plain,
% 2.60/2.08 (((~![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))))),
% 2.60/2.08 inference(monotonicity,[status(thm)],[8550])).
% 2.60/2.08 tff(8552,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(transitivity,[status(thm)],[8551, 8549])).
% 2.60/2.08 tff(8553,plain,
% 2.60/2.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s185, c_busy)) | (~always3(s185)))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8554,plain,
% 2.60/2.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s185)) | (~m_main_v_state(s185, c_busy))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8553, 8552])).
% 2.60/2.08 tff(8555,plain,
% 2.60/2.08 (~m_main_v_state(s185, c_busy)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8554, 145, 8548])).
% 2.60/2.08 tff(8556,plain,
% 2.60/2.08 (((~![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))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8557,plain,
% 2.60/2.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s184, s185)) | node2(s184, s185))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8558,plain,
% 2.60/2.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s184, s185)) | node2(s184, s185)),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8557, 8556])).
% 2.60/2.08 tff(8559,plain,
% 2.60/2.08 (node2(s184, s185)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8558, 7, 3841])).
% 2.60/2.08 tff(8560,plain,
% 2.60/2.08 (((~![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(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)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8561,plain,
% 2.60/2.08 ((~![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(s184, c_ready)) | (~node2(s184, s185)) | m_main_v_state(s185, c_busy) | (~m_main_v_request(s184)))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8562,plain,
% 2.60/2.08 ((~![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(s184, c_ready)) | (~node2(s184, s185)) | m_main_v_state(s185, c_busy) | (~m_main_v_request(s184))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8561, 8560])).
% 2.60/2.08 tff(8563,plain,
% 2.60/2.08 ((~m_main_v_state(s184, c_ready)) | m_main_v_state(s185, c_busy) | (~m_main_v_request(s184))),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8562, 166, 8559])).
% 2.60/2.08 tff(8564,plain,
% 2.60/2.08 (~m_main_v_state(s184, c_ready)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8563, 8555, 8546])).
% 2.60/2.08 tff(8565,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8566,plain,
% 2.60/2.08 (((~m_main_v_state(s184, c_busy)) | (~always3(s184))) <=> ((~always3(s184)) | (~m_main_v_state(s184, c_busy)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8567,plain,
% 2.60/2.08 (((~![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))))),
% 2.60/2.08 inference(monotonicity,[status(thm)],[8566])).
% 2.60/2.08 tff(8568,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(transitivity,[status(thm)],[8567, 8565])).
% 2.60/2.08 tff(8569,plain,
% 2.60/2.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s184, c_busy)) | (~always3(s184)))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8570,plain,
% 2.60/2.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s184)) | (~m_main_v_state(s184, c_busy))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8569, 8568])).
% 2.60/2.08 tff(8571,plain,
% 2.60/2.08 (~m_main_v_state(s184, c_busy)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8570, 145, 8547])).
% 2.60/2.08 tff(8572,plain,
% 2.60/2.08 (((~![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))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8573,plain,
% 2.60/2.08 ((~![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))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8574,plain,
% 2.60/2.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s184, c_busy) | m_main_v_state(s184, c_ready)),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8573, 8572])).
% 2.60/2.08 tff(8575,plain,
% 2.60/2.08 ($false),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8574, 188, 8571, 8564])).
% 2.60/2.08 tff(8576,plain,(~node4(s184)), inference(lemma,lemma(discharge,[]))).
% 2.60/2.08 tff(8577,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.08 inference(rewrite,[status(thm)],[])).
% 2.60/2.08 tff(8578,plain,
% 2.60/2.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s184) | xuntil2p8(s184) | (~until2p7(s184)))),
% 2.60/2.08 inference(quant_inst,[status(thm)],[])).
% 2.60/2.08 tff(8579,plain,
% 2.60/2.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s184) | xuntil2p8(s184) | (~until2p7(s184))),
% 2.60/2.08 inference(modus_ponens,[status(thm)],[8578, 8577])).
% 2.60/2.08 tff(8580,plain,
% 2.60/2.08 (xuntil2p8(s184) | (~until2p7(s184))),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8579, 8293, 8576])).
% 2.60/2.08 tff(8581,plain,
% 2.60/2.08 (~until2p7(s184)),
% 2.60/2.08 inference(unit_resolution,[status(thm)],[8580, 8541])).
% 2.60/2.08 tff(8582,plain,
% 2.60/2.08 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8583,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s183, s184)) | until2p7(s184) | (~xuntil2p8(s183)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8584,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s183, s184)) | until2p7(s184) | (~xuntil2p8(s183))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8583, 8582])).
% 2.60/2.09 tff(8585,plain,
% 2.60/2.09 (until2p7(s184) | (~xuntil2p8(s183))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8584, 3849, 8308])).
% 2.60/2.09 tff(8586,plain,
% 2.60/2.09 (~xuntil2p8(s183)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8585, 8581])).
% 2.60/2.09 tff(8587,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8588,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s183) | xuntil2p8(s183) | (~until2p7(s183)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8589,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s183) | xuntil2p8(s183) | (~until2p7(s183))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8588, 8587])).
% 2.60/2.09 tff(8590,plain,
% 2.60/2.09 (xuntil2p8(s183) | (~until2p7(s183))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8589, 8293, 3862])).
% 2.60/2.09 tff(8591,plain,
% 2.60/2.09 (~until2p7(s183)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8590, 8586])).
% 2.60/2.09 tff(8592,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8593,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s182, s183)) | until2p7(s183) | (~xuntil2p8(s182)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8594,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s182, s183)) | until2p7(s183) | (~xuntil2p8(s182))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8593, 8592])).
% 2.60/2.09 tff(8595,plain,
% 2.60/2.09 (until2p7(s183) | (~xuntil2p8(s182))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8594, 3865, 8308])).
% 2.60/2.09 tff(8596,plain,
% 2.60/2.09 (~xuntil2p8(s182)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8595, 8591])).
% 2.60/2.09 tff(8597,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8598,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s182) | xuntil2p8(s182) | (~until2p7(s182)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8599,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s182) | xuntil2p8(s182) | (~until2p7(s182))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8598, 8597])).
% 2.60/2.09 tff(8600,plain,
% 2.60/2.09 (xuntil2p8(s182) | (~until2p7(s182))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8599, 8293, 8165])).
% 2.60/2.09 tff(8601,plain,
% 2.60/2.09 (~until2p7(s182)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8600, 8596])).
% 2.60/2.09 tff(8602,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8603,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s181, s182)) | until2p7(s182) | (~xuntil2p8(s181)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8604,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s181, s182)) | until2p7(s182) | (~xuntil2p8(s181))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8603, 8602])).
% 2.60/2.09 tff(8605,plain,
% 2.60/2.09 (until2p7(s182) | (~xuntil2p8(s181))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8604, 3877, 8308])).
% 2.60/2.09 tff(8606,plain,
% 2.60/2.09 (~xuntil2p8(s181)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8605, 8601])).
% 2.60/2.09 tff(8607,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8608,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s181) | xuntil2p8(s181) | (~until2p7(s181)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8609,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s181) | xuntil2p8(s181) | (~until2p7(s181))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8608, 8607])).
% 2.60/2.09 tff(8610,plain,
% 2.60/2.09 (xuntil2p8(s181) | (~until2p7(s181))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8609, 8293, 3890])).
% 2.60/2.09 tff(8611,plain,
% 2.60/2.09 (~until2p7(s181)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8610, 8606])).
% 2.60/2.09 tff(8612,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8613,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s180, s181)) | until2p7(s181) | (~xuntil2p8(s180)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8614,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s180, s181)) | until2p7(s181) | (~xuntil2p8(s180))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8613, 8612])).
% 2.60/2.09 tff(8615,plain,
% 2.60/2.09 (until2p7(s181) | (~xuntil2p8(s180))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8614, 3893, 8308])).
% 2.60/2.09 tff(8616,plain,
% 2.60/2.09 (~xuntil2p8(s180)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8615, 8611])).
% 2.60/2.09 tff(8617,plain,
% 2.60/2.09 (~node4(s180)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8013, 113, 3902])).
% 2.60/2.09 tff(8618,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8619,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s180) | xuntil2p8(s180) | (~until2p7(s180)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8620,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s180) | xuntil2p8(s180) | (~until2p7(s180))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8619, 8618])).
% 2.60/2.09 tff(8621,plain,
% 2.60/2.09 (xuntil2p8(s180) | (~until2p7(s180))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8620, 8293, 8617])).
% 2.60/2.09 tff(8622,plain,
% 2.60/2.09 (~until2p7(s180)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8621, 8616])).
% 2.60/2.09 tff(8623,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8624,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s179, s180)) | until2p7(s180) | (~xuntil2p8(s179)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8625,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s179, s180)) | until2p7(s180) | (~xuntil2p8(s179))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8624, 8623])).
% 2.60/2.09 tff(8626,plain,
% 2.60/2.09 (until2p7(s180) | (~xuntil2p8(s179))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8625, 3905, 8308])).
% 2.60/2.09 tff(8627,plain,
% 2.60/2.09 (~xuntil2p8(s179)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8626, 8622])).
% 2.60/2.09 tff(8628,plain,
% 2.60/2.09 (~node4(s179)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8009, 113, 3914])).
% 2.60/2.09 tff(8629,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8630,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s179) | xuntil2p8(s179) | (~until2p7(s179)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8631,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s179) | xuntil2p8(s179) | (~until2p7(s179))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8630, 8629])).
% 2.60/2.09 tff(8632,plain,
% 2.60/2.09 (xuntil2p8(s179) | (~until2p7(s179))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8631, 8293, 8628])).
% 2.60/2.09 tff(8633,plain,
% 2.60/2.09 (~until2p7(s179)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8632, 8627])).
% 2.60/2.09 tff(8634,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8635,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s178, s179)) | until2p7(s179) | (~xuntil2p8(s178)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8636,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s178, s179)) | until2p7(s179) | (~xuntil2p8(s178))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8635, 8634])).
% 2.60/2.09 tff(8637,plain,
% 2.60/2.09 (until2p7(s179) | (~xuntil2p8(s178))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8636, 3917, 8308])).
% 2.60/2.09 tff(8638,plain,
% 2.60/2.09 (~xuntil2p8(s178)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8637, 8633])).
% 2.60/2.09 tff(8639,assumption,(node4(s178)), introduced(assumption)).
% 2.60/2.09 tff(8640,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8641,plain,
% 2.60/2.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s178) | (~node4(s178)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8642,plain,
% 2.60/2.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s178) | (~node4(s178))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8641, 8640])).
% 2.60/2.09 tff(8643,plain,
% 2.60/2.09 (m_main_v_request(s178)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8642, 63, 8639])).
% 2.60/2.09 tff(8644,plain,
% 2.60/2.09 (always3(s178)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8044, 113, 8639])).
% 2.60/2.09 tff(8645,plain,
% 2.60/2.09 (always3(s179)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[3925, 8644])).
% 2.60/2.09 tff(8646,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8647,plain,
% 2.60/2.09 (((~m_main_v_state(s179, c_busy)) | (~always3(s179))) <=> ((~always3(s179)) | (~m_main_v_state(s179, c_busy)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8648,plain,
% 2.60/2.09 (((~![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))))),
% 2.60/2.09 inference(monotonicity,[status(thm)],[8647])).
% 2.60/2.09 tff(8649,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(transitivity,[status(thm)],[8648, 8646])).
% 2.60/2.09 tff(8650,plain,
% 2.60/2.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s179, c_busy)) | (~always3(s179)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8651,plain,
% 2.60/2.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s179)) | (~m_main_v_state(s179, c_busy))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8650, 8649])).
% 2.60/2.09 tff(8652,plain,
% 2.60/2.09 (~m_main_v_state(s179, c_busy)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8651, 145, 8645])).
% 2.60/2.09 tff(8653,plain,
% 2.60/2.09 (((~![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))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8654,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s178, s179)) | node2(s178, s179))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8655,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s178, s179)) | node2(s178, s179)),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8654, 8653])).
% 2.60/2.09 tff(8656,plain,
% 2.60/2.09 (node2(s178, s179)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8655, 7, 3921])).
% 2.60/2.09 tff(8657,plain,
% 2.60/2.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8658,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s178, c_ready)) | (~node2(s178, s179)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s178)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8659,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s178, c_ready)) | (~node2(s178, s179)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s178))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8658, 8657])).
% 2.60/2.09 tff(8660,plain,
% 2.60/2.09 ((~m_main_v_state(s178, c_ready)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s178))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8659, 166, 8656])).
% 2.60/2.09 tff(8661,plain,
% 2.60/2.09 (~m_main_v_state(s178, c_ready)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8660, 8652, 8643])).
% 2.60/2.09 tff(8662,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8663,plain,
% 2.60/2.09 (((~m_main_v_state(s178, c_busy)) | (~always3(s178))) <=> ((~always3(s178)) | (~m_main_v_state(s178, c_busy)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8664,plain,
% 2.60/2.09 (((~![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))))),
% 2.60/2.09 inference(monotonicity,[status(thm)],[8663])).
% 2.60/2.09 tff(8665,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(transitivity,[status(thm)],[8664, 8662])).
% 2.60/2.09 tff(8666,plain,
% 2.60/2.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s178, c_busy)) | (~always3(s178)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8667,plain,
% 2.60/2.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s178)) | (~m_main_v_state(s178, c_busy))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8666, 8665])).
% 2.60/2.09 tff(8668,plain,
% 2.60/2.09 (~m_main_v_state(s178, c_busy)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8667, 145, 8644])).
% 2.60/2.09 tff(8669,plain,
% 2.60/2.09 (((~![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))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8670,plain,
% 2.60/2.09 ((~![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))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8671,plain,
% 2.60/2.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s178, c_busy) | m_main_v_state(s178, c_ready)),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8670, 8669])).
% 2.60/2.09 tff(8672,plain,
% 2.60/2.09 ($false),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8671, 188, 8668, 8661])).
% 2.60/2.09 tff(8673,plain,(~node4(s178)), inference(lemma,lemma(discharge,[]))).
% 2.60/2.09 tff(8674,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8675,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s178) | xuntil2p8(s178) | (~until2p7(s178)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8676,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s178) | xuntil2p8(s178) | (~until2p7(s178))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8675, 8674])).
% 2.60/2.09 tff(8677,plain,
% 2.60/2.09 (xuntil2p8(s178) | (~until2p7(s178))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8676, 8293, 8673])).
% 2.60/2.09 tff(8678,plain,
% 2.60/2.09 (~until2p7(s178)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8677, 8638])).
% 2.60/2.09 tff(8679,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8680,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s177, s178)) | until2p7(s178) | (~xuntil2p8(s177)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8681,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s177, s178)) | until2p7(s178) | (~xuntil2p8(s177))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8680, 8679])).
% 2.60/2.09 tff(8682,plain,
% 2.60/2.09 (until2p7(s178) | (~xuntil2p8(s177))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8681, 3929, 8308])).
% 2.60/2.09 tff(8683,plain,
% 2.60/2.09 (~xuntil2p8(s177)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8682, 8678])).
% 2.60/2.09 tff(8684,assumption,(node4(s177)), introduced(assumption)).
% 2.60/2.09 tff(8685,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8686,plain,
% 2.60/2.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s177) | (~node4(s177)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8687,plain,
% 2.60/2.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s177) | (~node4(s177))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8686, 8685])).
% 2.60/2.09 tff(8688,plain,
% 2.60/2.09 (m_main_v_request(s177)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8687, 63, 8684])).
% 2.60/2.09 tff(8689,plain,
% 2.60/2.09 (always3(s177)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8093, 113, 8684])).
% 2.60/2.09 tff(8690,plain,
% 2.60/2.09 (always3(s178)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[3937, 8689])).
% 2.60/2.09 tff(8691,plain,
% 2.60/2.09 (~m_main_v_state(s178, c_busy)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8667, 145, 8690])).
% 2.60/2.09 tff(8692,plain,
% 2.60/2.09 (((~![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))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8693,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s177, s178)) | node2(s177, s178))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8694,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s177, s178)) | node2(s177, s178)),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8693, 8692])).
% 2.60/2.09 tff(8695,plain,
% 2.60/2.09 (node2(s177, s178)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8694, 7, 3933])).
% 2.60/2.09 tff(8696,plain,
% 2.60/2.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8697,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s177, c_ready)) | (~node2(s177, s178)) | m_main_v_state(s178, c_busy) | (~m_main_v_request(s177)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8698,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s177, c_ready)) | (~node2(s177, s178)) | m_main_v_state(s178, c_busy) | (~m_main_v_request(s177))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8697, 8696])).
% 2.60/2.09 tff(8699,plain,
% 2.60/2.09 ((~m_main_v_state(s177, c_ready)) | m_main_v_state(s178, c_busy) | (~m_main_v_request(s177))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8698, 166, 8695])).
% 2.60/2.09 tff(8700,plain,
% 2.60/2.09 (~m_main_v_state(s177, c_ready)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8699, 8691, 8688])).
% 2.60/2.09 tff(8701,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8702,plain,
% 2.60/2.09 (((~m_main_v_state(s177, c_busy)) | (~always3(s177))) <=> ((~always3(s177)) | (~m_main_v_state(s177, c_busy)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8703,plain,
% 2.60/2.09 (((~![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))))),
% 2.60/2.09 inference(monotonicity,[status(thm)],[8702])).
% 2.60/2.09 tff(8704,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(transitivity,[status(thm)],[8703, 8701])).
% 2.60/2.09 tff(8705,plain,
% 2.60/2.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s177, c_busy)) | (~always3(s177)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8706,plain,
% 2.60/2.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s177)) | (~m_main_v_state(s177, c_busy))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8705, 8704])).
% 2.60/2.09 tff(8707,plain,
% 2.60/2.09 (~m_main_v_state(s177, c_busy)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8706, 145, 8689])).
% 2.60/2.09 tff(8708,plain,
% 2.60/2.09 (((~![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))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8709,plain,
% 2.60/2.09 ((~![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))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8710,plain,
% 2.60/2.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s177, c_busy) | m_main_v_state(s177, c_ready)),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8709, 8708])).
% 2.60/2.09 tff(8711,plain,
% 2.60/2.09 ($false),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8710, 188, 8707, 8700])).
% 2.60/2.09 tff(8712,plain,(~node4(s177)), inference(lemma,lemma(discharge,[]))).
% 2.60/2.09 tff(8713,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8714,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s177) | xuntil2p8(s177) | (~until2p7(s177)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8715,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s177) | xuntil2p8(s177) | (~until2p7(s177))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8714, 8713])).
% 2.60/2.09 tff(8716,plain,
% 2.60/2.09 (xuntil2p8(s177) | (~until2p7(s177))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8715, 8293, 8712])).
% 2.60/2.09 tff(8717,plain,
% 2.60/2.09 (~until2p7(s177)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8716, 8683])).
% 2.60/2.09 tff(8718,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8719,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s176, s177)) | until2p7(s177) | (~xuntil2p8(s176)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8720,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s176, s177)) | until2p7(s177) | (~xuntil2p8(s176))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8719, 8718])).
% 2.60/2.09 tff(8721,plain,
% 2.60/2.09 (until2p7(s177) | (~xuntil2p8(s176))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8720, 3941, 8308])).
% 2.60/2.09 tff(8722,plain,
% 2.60/2.09 (~xuntil2p8(s176)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8721, 8717])).
% 2.60/2.09 tff(8723,plain,
% 2.60/2.09 (~node4(s176)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8058, 113, 3950])).
% 2.60/2.09 tff(8724,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8725,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s176) | xuntil2p8(s176) | (~until2p7(s176)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8726,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s176) | xuntil2p8(s176) | (~until2p7(s176))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8725, 8724])).
% 2.60/2.09 tff(8727,plain,
% 2.60/2.09 (xuntil2p8(s176) | (~until2p7(s176))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8726, 8293, 8723])).
% 2.60/2.09 tff(8728,plain,
% 2.60/2.09 (~until2p7(s176)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8727, 8722])).
% 2.60/2.09 tff(8729,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8730,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s175, s176)) | until2p7(s176) | (~xuntil2p8(s175)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8731,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s175, s176)) | until2p7(s176) | (~xuntil2p8(s175))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8730, 8729])).
% 2.60/2.09 tff(8732,plain,
% 2.60/2.09 (until2p7(s176) | (~xuntil2p8(s175))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8731, 3953, 8308])).
% 2.60/2.09 tff(8733,plain,
% 2.60/2.09 (~xuntil2p8(s175)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8732, 8728])).
% 2.60/2.09 tff(8734,plain,
% 2.60/2.09 (~node4(s175)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8063, 113, 3962])).
% 2.60/2.09 tff(8735,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8736,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s175) | xuntil2p8(s175) | (~until2p7(s175)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8737,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s175) | xuntil2p8(s175) | (~until2p7(s175))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8736, 8735])).
% 2.60/2.09 tff(8738,plain,
% 2.60/2.09 (xuntil2p8(s175) | (~until2p7(s175))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8737, 8293, 8734])).
% 2.60/2.09 tff(8739,plain,
% 2.60/2.09 (~until2p7(s175)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8738, 8733])).
% 2.60/2.09 tff(8740,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8741,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s174, s175)) | until2p7(s175) | (~xuntil2p8(s174)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8742,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s174, s175)) | until2p7(s175) | (~xuntil2p8(s174))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8741, 8740])).
% 2.60/2.09 tff(8743,plain,
% 2.60/2.09 (until2p7(s175) | (~xuntil2p8(s174))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8742, 3965, 8308])).
% 2.60/2.09 tff(8744,plain,
% 2.60/2.09 (~xuntil2p8(s174)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8743, 8739])).
% 2.60/2.09 tff(8745,plain,
% 2.60/2.09 (~node4(s174)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[4342, 113, 3974])).
% 2.60/2.09 tff(8746,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8747,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s174) | xuntil2p8(s174) | (~until2p7(s174)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8748,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s174) | xuntil2p8(s174) | (~until2p7(s174))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8747, 8746])).
% 2.60/2.09 tff(8749,plain,
% 2.60/2.09 (xuntil2p8(s174) | (~until2p7(s174))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8748, 8293, 8745])).
% 2.60/2.09 tff(8750,plain,
% 2.60/2.09 (~until2p7(s174)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8749, 8744])).
% 2.60/2.09 tff(8751,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8752,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s173, s174)) | until2p7(s174) | (~xuntil2p8(s173)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8753,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s173, s174)) | until2p7(s174) | (~xuntil2p8(s173))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8752, 8751])).
% 2.60/2.09 tff(8754,plain,
% 2.60/2.09 (until2p7(s174) | (~xuntil2p8(s173))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8753, 3978, 8308])).
% 2.60/2.09 tff(8755,plain,
% 2.60/2.09 (~xuntil2p8(s173)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8754, 8750])).
% 2.60/2.09 tff(8756,plain,
% 2.60/2.09 (~always3(s173)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[3986, 3974])).
% 2.60/2.09 tff(8757,plain,
% 2.60/2.09 (~node4(s173)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[4366, 113, 8756])).
% 2.60/2.09 tff(8758,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8759,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s173) | xuntil2p8(s173) | (~until2p7(s173)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8760,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s173) | xuntil2p8(s173) | (~until2p7(s173))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8759, 8758])).
% 2.60/2.09 tff(8761,plain,
% 2.60/2.09 (xuntil2p8(s173) | (~until2p7(s173))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8760, 8293, 8757])).
% 2.60/2.09 tff(8762,plain,
% 2.60/2.09 (~until2p7(s173)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8761, 8755])).
% 2.60/2.09 tff(8763,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8764,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s172, s173)) | until2p7(s173) | (~xuntil2p8(s172)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8765,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s172, s173)) | until2p7(s173) | (~xuntil2p8(s172))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8764, 8763])).
% 2.60/2.09 tff(8766,plain,
% 2.60/2.09 (until2p7(s173) | (~xuntil2p8(s172))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8765, 3990, 8308])).
% 2.60/2.09 tff(8767,plain,
% 2.60/2.09 (~xuntil2p8(s172)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8766, 8762])).
% 2.60/2.09 tff(8768,plain,
% 2.60/2.09 (~always3(s172)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[3998, 8756])).
% 2.60/2.09 tff(8769,plain,
% 2.60/2.09 (~node4(s172)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[4362, 113, 8768])).
% 2.60/2.09 tff(8770,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8771,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s172) | xuntil2p8(s172) | (~until2p7(s172)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8772,plain,
% 2.60/2.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s172) | xuntil2p8(s172) | (~until2p7(s172))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8771, 8770])).
% 2.60/2.09 tff(8773,plain,
% 2.60/2.09 (xuntil2p8(s172) | (~until2p7(s172))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8772, 8293, 8769])).
% 2.60/2.09 tff(8774,plain,
% 2.60/2.09 (~until2p7(s172)),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8773, 8767])).
% 2.60/2.09 tff(8775,plain,
% 2.60/2.09 (((~![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)))),
% 2.60/2.09 inference(rewrite,[status(thm)],[])).
% 2.60/2.09 tff(8776,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s171, s172)) | until2p7(s172) | (~xuntil2p8(s171)))),
% 2.60/2.09 inference(quant_inst,[status(thm)],[])).
% 2.60/2.09 tff(8777,plain,
% 2.60/2.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s171, s172)) | until2p7(s172) | (~xuntil2p8(s171))),
% 2.60/2.09 inference(modus_ponens,[status(thm)],[8776, 8775])).
% 2.60/2.09 tff(8778,plain,
% 2.60/2.09 (until2p7(s172) | (~xuntil2p8(s171))),
% 2.60/2.09 inference(unit_resolution,[status(thm)],[8777, 4002, 8308])).
% 2.60/2.10 tff(8779,plain,
% 2.60/2.10 (~xuntil2p8(s171)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8778, 8774])).
% 2.60/2.10 tff(8780,plain,
% 2.60/2.10 (~always3(s171)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[4010, 8768])).
% 2.60/2.10 tff(8781,plain,
% 2.60/2.10 (~node4(s171)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[4397, 113, 8780])).
% 2.60/2.10 tff(8782,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8783,plain,
% 2.60/2.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s171) | xuntil2p8(s171) | (~until2p7(s171)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8784,plain,
% 2.60/2.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s171) | xuntil2p8(s171) | (~until2p7(s171))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8783, 8782])).
% 2.60/2.10 tff(8785,plain,
% 2.60/2.10 (xuntil2p8(s171) | (~until2p7(s171))),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8784, 8293, 8781])).
% 2.60/2.10 tff(8786,plain,
% 2.60/2.10 (~until2p7(s171)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8785, 8779])).
% 2.60/2.10 tff(8787,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8788,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s170, s171)) | until2p7(s171) | (~xuntil2p8(s170)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8789,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s170, s171)) | until2p7(s171) | (~xuntil2p8(s170))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8788, 8787])).
% 2.60/2.10 tff(8790,plain,
% 2.60/2.10 (until2p7(s171) | (~xuntil2p8(s170))),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8789, 4014, 8308])).
% 2.60/2.10 tff(8791,plain,
% 2.60/2.10 (~xuntil2p8(s170)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8790, 8786])).
% 2.60/2.10 tff(8792,plain,
% 2.60/2.10 (~always3(s170)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[4022, 8780])).
% 2.60/2.10 tff(8793,plain,
% 2.60/2.10 (~node4(s170)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[4415, 113, 8792])).
% 2.60/2.10 tff(8794,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8795,plain,
% 2.60/2.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s170) | xuntil2p8(s170) | (~until2p7(s170)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8796,plain,
% 2.60/2.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s170) | xuntil2p8(s170) | (~until2p7(s170))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8795, 8794])).
% 2.60/2.10 tff(8797,plain,
% 2.60/2.10 (xuntil2p8(s170) | (~until2p7(s170))),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8796, 8293, 8793])).
% 2.60/2.10 tff(8798,plain,
% 2.60/2.10 (~until2p7(s170)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8797, 8791])).
% 2.60/2.10 tff(8799,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8800,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s169, s170)) | until2p7(s170) | (~xuntil2p8(s169)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8801,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s169, s170)) | until2p7(s170) | (~xuntil2p8(s169))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8800, 8799])).
% 2.60/2.10 tff(8802,plain,
% 2.60/2.10 (until2p7(s170) | (~xuntil2p8(s169))),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8801, 4026, 8308])).
% 2.60/2.10 tff(8803,plain,
% 2.60/2.10 (~xuntil2p8(s169)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8802, 8798])).
% 2.60/2.10 tff(8804,plain,
% 2.60/2.10 (~always3(s169)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[4034, 8792])).
% 2.60/2.10 tff(8805,plain,
% 2.60/2.10 (~node4(s169)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[4433, 113, 8804])).
% 2.60/2.10 tff(8806,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8807,plain,
% 2.60/2.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s169) | xuntil2p8(s169) | (~until2p7(s169)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8808,plain,
% 2.60/2.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s169) | xuntil2p8(s169) | (~until2p7(s169))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8807, 8806])).
% 2.60/2.10 tff(8809,plain,
% 2.60/2.10 (xuntil2p8(s169) | (~until2p7(s169))),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8808, 8293, 8805])).
% 2.60/2.10 tff(8810,plain,
% 2.60/2.10 (~until2p7(s169)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8809, 8803])).
% 2.60/2.10 tff(8811,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8812,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s168, s169)) | until2p7(s169) | (~xuntil2p8(s168)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8813,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s168, s169)) | until2p7(s169) | (~xuntil2p8(s168))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8812, 8811])).
% 2.60/2.10 tff(8814,plain,
% 2.60/2.10 (until2p7(s169) | (~xuntil2p8(s168))),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8813, 4038, 8308])).
% 2.60/2.10 tff(8815,plain,
% 2.60/2.10 (~xuntil2p8(s168)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8814, 8810])).
% 2.60/2.10 tff(8816,assumption,(node4(s168)), introduced(assumption)).
% 2.60/2.10 tff(8817,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8818,plain,
% 2.60/2.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s168) | (~node4(s168)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8819,plain,
% 2.60/2.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s168) | (~node4(s168))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8818, 8817])).
% 2.60/2.10 tff(8820,plain,
% 2.60/2.10 (m_main_v_request(s168)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8819, 63, 8816])).
% 2.60/2.10 tff(8821,plain,
% 2.60/2.10 (always3(s168)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[4518, 113, 8816])).
% 2.60/2.10 tff(8822,plain,
% 2.60/2.10 (always3(s169)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[4046, 8821])).
% 2.60/2.10 tff(8823,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8824,plain,
% 2.60/2.10 (((~m_main_v_state(s169, c_busy)) | (~always3(s169))) <=> ((~always3(s169)) | (~m_main_v_state(s169, c_busy)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8825,plain,
% 2.60/2.10 (((~![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))))),
% 2.60/2.10 inference(monotonicity,[status(thm)],[8824])).
% 2.60/2.10 tff(8826,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(transitivity,[status(thm)],[8825, 8823])).
% 2.60/2.10 tff(8827,plain,
% 2.60/2.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s169, c_busy)) | (~always3(s169)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8828,plain,
% 2.60/2.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s169)) | (~m_main_v_state(s169, c_busy))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8827, 8826])).
% 2.60/2.10 tff(8829,plain,
% 2.60/2.10 (~m_main_v_state(s169, c_busy)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8828, 145, 8822])).
% 2.60/2.10 tff(8830,plain,
% 2.60/2.10 (((~![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))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8831,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s168, s169)) | node2(s168, s169))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8832,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s168, s169)) | node2(s168, s169)),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8831, 8830])).
% 2.60/2.10 tff(8833,plain,
% 2.60/2.10 (node2(s168, s169)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8832, 7, 4042])).
% 2.60/2.10 tff(8834,plain,
% 2.60/2.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8835,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s168, c_ready)) | (~node2(s168, s169)) | m_main_v_state(s169, c_busy) | (~m_main_v_request(s168)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8836,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s168, c_ready)) | (~node2(s168, s169)) | m_main_v_state(s169, c_busy) | (~m_main_v_request(s168))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8835, 8834])).
% 2.60/2.10 tff(8837,plain,
% 2.60/2.10 ((~m_main_v_state(s168, c_ready)) | m_main_v_state(s169, c_busy) | (~m_main_v_request(s168))),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8836, 166, 8833])).
% 2.60/2.10 tff(8838,plain,
% 2.60/2.10 (~m_main_v_state(s168, c_ready)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8837, 8829, 8820])).
% 2.60/2.10 tff(8839,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8840,plain,
% 2.60/2.10 (((~m_main_v_state(s168, c_busy)) | (~always3(s168))) <=> ((~always3(s168)) | (~m_main_v_state(s168, c_busy)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8841,plain,
% 2.60/2.10 (((~![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))))),
% 2.60/2.10 inference(monotonicity,[status(thm)],[8840])).
% 2.60/2.10 tff(8842,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(transitivity,[status(thm)],[8841, 8839])).
% 2.60/2.10 tff(8843,plain,
% 2.60/2.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s168, c_busy)) | (~always3(s168)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8844,plain,
% 2.60/2.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s168)) | (~m_main_v_state(s168, c_busy))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8843, 8842])).
% 2.60/2.10 tff(8845,plain,
% 2.60/2.10 (~m_main_v_state(s168, c_busy)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8844, 145, 8821])).
% 2.60/2.10 tff(8846,plain,
% 2.60/2.10 (((~![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))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8847,plain,
% 2.60/2.10 ((~![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))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8848,plain,
% 2.60/2.10 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s168, c_busy) | m_main_v_state(s168, c_ready)),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8847, 8846])).
% 2.60/2.10 tff(8849,plain,
% 2.60/2.10 ($false),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8848, 188, 8845, 8838])).
% 2.60/2.10 tff(8850,plain,(~node4(s168)), inference(lemma,lemma(discharge,[]))).
% 2.60/2.10 tff(8851,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8852,plain,
% 2.60/2.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s168) | xuntil2p8(s168) | (~until2p7(s168)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8853,plain,
% 2.60/2.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s168) | xuntil2p8(s168) | (~until2p7(s168))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8852, 8851])).
% 2.60/2.10 tff(8854,plain,
% 2.60/2.10 (xuntil2p8(s168) | (~until2p7(s168))),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8853, 8293, 8850])).
% 2.60/2.10 tff(8855,plain,
% 2.60/2.10 (~until2p7(s168)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8854, 8815])).
% 2.60/2.10 tff(8856,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8857,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s167, s168)) | until2p7(s168) | (~xuntil2p8(s167)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8858,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s167, s168)) | until2p7(s168) | (~xuntil2p8(s167))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8857, 8856])).
% 2.60/2.10 tff(8859,plain,
% 2.60/2.10 (until2p7(s168) | (~xuntil2p8(s167))),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8858, 4050, 8308])).
% 2.60/2.10 tff(8860,plain,
% 2.60/2.10 (~xuntil2p8(s167)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8859, 8855])).
% 2.60/2.10 tff(8861,plain,
% 2.60/2.10 (~always3(s168)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[4046, 8804])).
% 2.60/2.10 tff(8862,plain,
% 2.60/2.10 (~always3(s167)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[4058, 8861])).
% 2.60/2.10 tff(8863,plain,
% 2.60/2.10 (~node4(s167)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[4501, 113, 8862])).
% 2.60/2.10 tff(8864,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8865,plain,
% 2.60/2.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s167) | xuntil2p8(s167) | (~until2p7(s167)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8866,plain,
% 2.60/2.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s167) | xuntil2p8(s167) | (~until2p7(s167))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8865, 8864])).
% 2.60/2.10 tff(8867,plain,
% 2.60/2.10 (xuntil2p8(s167) | (~until2p7(s167))),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8866, 8293, 8863])).
% 2.60/2.10 tff(8868,plain,
% 2.60/2.10 (~until2p7(s167)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8867, 8860])).
% 2.60/2.10 tff(8869,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8870,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s166, s167)) | until2p7(s167) | (~xuntil2p8(s166)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8871,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s166, s167)) | until2p7(s167) | (~xuntil2p8(s166))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8870, 8869])).
% 2.60/2.10 tff(8872,plain,
% 2.60/2.10 (until2p7(s167) | (~xuntil2p8(s166))),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8871, 4062, 8308])).
% 2.60/2.10 tff(8873,plain,
% 2.60/2.10 (~xuntil2p8(s166)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8872, 8868])).
% 2.60/2.10 tff(8874,assumption,(node4(s166)), introduced(assumption)).
% 2.60/2.10 tff(8875,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8876,plain,
% 2.60/2.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s166) | (~node4(s166)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8877,plain,
% 2.60/2.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s166) | (~node4(s166))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8876, 8875])).
% 2.60/2.10 tff(8878,plain,
% 2.60/2.10 (m_main_v_request(s166)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8877, 63, 8874])).
% 2.60/2.10 tff(8879,plain,
% 2.60/2.10 (always3(s166)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[4484, 113, 8874])).
% 2.60/2.10 tff(8880,plain,
% 2.60/2.10 (always3(s167)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[4070, 8879])).
% 2.60/2.10 tff(8881,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8882,plain,
% 2.60/2.10 (((~m_main_v_state(s167, c_busy)) | (~always3(s167))) <=> ((~always3(s167)) | (~m_main_v_state(s167, c_busy)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8883,plain,
% 2.60/2.10 (((~![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))))),
% 2.60/2.10 inference(monotonicity,[status(thm)],[8882])).
% 2.60/2.10 tff(8884,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(transitivity,[status(thm)],[8883, 8881])).
% 2.60/2.10 tff(8885,plain,
% 2.60/2.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s167, c_busy)) | (~always3(s167)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8886,plain,
% 2.60/2.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s167)) | (~m_main_v_state(s167, c_busy))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8885, 8884])).
% 2.60/2.10 tff(8887,plain,
% 2.60/2.10 (~m_main_v_state(s167, c_busy)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8886, 145, 8880])).
% 2.60/2.10 tff(8888,plain,
% 2.60/2.10 (((~![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))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8889,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s166, s167)) | node2(s166, s167))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8890,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s166, s167)) | node2(s166, s167)),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8889, 8888])).
% 2.60/2.10 tff(8891,plain,
% 2.60/2.10 (node2(s166, s167)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8890, 7, 4066])).
% 2.60/2.10 tff(8892,plain,
% 2.60/2.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8893,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s166, c_ready)) | (~node2(s166, s167)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s166)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8894,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s166, c_ready)) | (~node2(s166, s167)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s166))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8893, 8892])).
% 2.60/2.10 tff(8895,plain,
% 2.60/2.10 ((~m_main_v_state(s166, c_ready)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s166))),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8894, 166, 8891])).
% 2.60/2.10 tff(8896,plain,
% 2.60/2.10 (~m_main_v_state(s166, c_ready)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8895, 8887, 8878])).
% 2.60/2.10 tff(8897,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8898,plain,
% 2.60/2.10 (((~m_main_v_state(s166, c_busy)) | (~always3(s166))) <=> ((~always3(s166)) | (~m_main_v_state(s166, c_busy)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8899,plain,
% 2.60/2.10 (((~![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))))),
% 2.60/2.10 inference(monotonicity,[status(thm)],[8898])).
% 2.60/2.10 tff(8900,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(transitivity,[status(thm)],[8899, 8897])).
% 2.60/2.10 tff(8901,plain,
% 2.60/2.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s166, c_busy)) | (~always3(s166)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8902,plain,
% 2.60/2.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s166)) | (~m_main_v_state(s166, c_busy))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8901, 8900])).
% 2.60/2.10 tff(8903,plain,
% 2.60/2.10 (~m_main_v_state(s166, c_busy)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8902, 145, 8879])).
% 2.60/2.10 tff(8904,plain,
% 2.60/2.10 (((~![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))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8905,plain,
% 2.60/2.10 ((~![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))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8906,plain,
% 2.60/2.10 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s166, c_busy) | m_main_v_state(s166, c_ready)),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8905, 8904])).
% 2.60/2.10 tff(8907,plain,
% 2.60/2.10 ($false),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8906, 188, 8903, 8896])).
% 2.60/2.10 tff(8908,plain,(~node4(s166)), inference(lemma,lemma(discharge,[]))).
% 2.60/2.10 tff(8909,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8910,plain,
% 2.60/2.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s166) | xuntil2p8(s166) | (~until2p7(s166)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8911,plain,
% 2.60/2.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s166) | xuntil2p8(s166) | (~until2p7(s166))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8910, 8909])).
% 2.60/2.10 tff(8912,plain,
% 2.60/2.10 (xuntil2p8(s166) | (~until2p7(s166))),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8911, 8293, 8908])).
% 2.60/2.10 tff(8913,plain,
% 2.60/2.10 (~until2p7(s166)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8912, 8873])).
% 2.60/2.10 tff(8914,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8915,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s165, s166)) | until2p7(s166) | (~xuntil2p8(s165)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8916,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s165, s166)) | until2p7(s166) | (~xuntil2p8(s165))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8915, 8914])).
% 2.60/2.10 tff(8917,plain,
% 2.60/2.10 (until2p7(s166) | (~xuntil2p8(s165))),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8916, 4074, 8308])).
% 2.60/2.10 tff(8918,plain,
% 2.60/2.10 (~xuntil2p8(s165)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8917, 8913])).
% 2.60/2.10 tff(8919,assumption,(node4(s165)), introduced(assumption)).
% 2.60/2.10 tff(8920,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8921,plain,
% 2.60/2.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s165) | (~node4(s165)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8922,plain,
% 2.60/2.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s165) | (~node4(s165))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8921, 8920])).
% 2.60/2.10 tff(8923,plain,
% 2.60/2.10 (m_main_v_request(s165)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8922, 63, 8919])).
% 2.60/2.10 tff(8924,plain,
% 2.60/2.10 (always3(s165)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[4449, 113, 8919])).
% 2.60/2.10 tff(8925,plain,
% 2.60/2.10 (always3(s166)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[4082, 8924])).
% 2.60/2.10 tff(8926,plain,
% 2.60/2.10 (~m_main_v_state(s166, c_busy)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8902, 145, 8925])).
% 2.60/2.10 tff(8927,plain,
% 2.60/2.10 (((~![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))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8928,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s165, s166)) | node2(s165, s166))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8929,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s165, s166)) | node2(s165, s166)),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8928, 8927])).
% 2.60/2.10 tff(8930,plain,
% 2.60/2.10 (node2(s165, s166)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8929, 7, 4078])).
% 2.60/2.10 tff(8931,plain,
% 2.60/2.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8932,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s165, c_ready)) | (~node2(s165, s166)) | m_main_v_state(s166, c_busy) | (~m_main_v_request(s165)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8933,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s165, c_ready)) | (~node2(s165, s166)) | m_main_v_state(s166, c_busy) | (~m_main_v_request(s165))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8932, 8931])).
% 2.60/2.10 tff(8934,plain,
% 2.60/2.10 ((~m_main_v_state(s165, c_ready)) | m_main_v_state(s166, c_busy) | (~m_main_v_request(s165))),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8933, 166, 8930])).
% 2.60/2.10 tff(8935,plain,
% 2.60/2.10 (~m_main_v_state(s165, c_ready)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8934, 8926, 8923])).
% 2.60/2.10 tff(8936,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8937,plain,
% 2.60/2.10 (((~m_main_v_state(s165, c_busy)) | (~always3(s165))) <=> ((~always3(s165)) | (~m_main_v_state(s165, c_busy)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8938,plain,
% 2.60/2.10 (((~![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))))),
% 2.60/2.10 inference(monotonicity,[status(thm)],[8937])).
% 2.60/2.10 tff(8939,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(transitivity,[status(thm)],[8938, 8936])).
% 2.60/2.10 tff(8940,plain,
% 2.60/2.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s165, c_busy)) | (~always3(s165)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8941,plain,
% 2.60/2.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s165)) | (~m_main_v_state(s165, c_busy))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8940, 8939])).
% 2.60/2.10 tff(8942,plain,
% 2.60/2.10 (~m_main_v_state(s165, c_busy)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8941, 145, 8924])).
% 2.60/2.10 tff(8943,plain,
% 2.60/2.10 (((~![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))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8944,plain,
% 2.60/2.10 ((~![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))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8945,plain,
% 2.60/2.10 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s165, c_busy) | m_main_v_state(s165, c_ready)),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8944, 8943])).
% 2.60/2.10 tff(8946,plain,
% 2.60/2.10 ($false),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8945, 188, 8942, 8935])).
% 2.60/2.10 tff(8947,plain,(~node4(s165)), inference(lemma,lemma(discharge,[]))).
% 2.60/2.10 tff(8948,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8949,plain,
% 2.60/2.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s165) | xuntil2p8(s165) | (~until2p7(s165)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8950,plain,
% 2.60/2.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s165) | xuntil2p8(s165) | (~until2p7(s165))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8949, 8948])).
% 2.60/2.10 tff(8951,plain,
% 2.60/2.10 (xuntil2p8(s165) | (~until2p7(s165))),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8950, 8293, 8947])).
% 2.60/2.10 tff(8952,plain,
% 2.60/2.10 (~until2p7(s165)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8951, 8918])).
% 2.60/2.10 tff(8953,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8954,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s164, s165)) | until2p7(s165) | (~xuntil2p8(s164)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8955,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s164, s165)) | until2p7(s165) | (~xuntil2p8(s164))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8954, 8953])).
% 2.60/2.10 tff(8956,plain,
% 2.60/2.10 (until2p7(s165) | (~xuntil2p8(s164))),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8955, 4086, 8308])).
% 2.60/2.10 tff(8957,plain,
% 2.60/2.10 (~xuntil2p8(s164)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8956, 8952])).
% 2.60/2.10 tff(8958,assumption,(node4(s164)), introduced(assumption)).
% 2.60/2.10 tff(8959,plain,
% 2.60/2.10 (((~![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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8960,plain,
% 2.60/2.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s164) | (~node4(s164)))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8961,plain,
% 2.60/2.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s164) | (~node4(s164))),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8960, 8959])).
% 2.60/2.10 tff(8962,plain,
% 2.60/2.10 (m_main_v_request(s164)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8961, 63, 8958])).
% 2.60/2.10 tff(8963,plain,
% 2.60/2.10 (always3(s164)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[4454, 113, 8958])).
% 2.60/2.10 tff(8964,plain,
% 2.60/2.10 (always3(s165)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[4094, 8963])).
% 2.60/2.10 tff(8965,plain,
% 2.60/2.10 (~m_main_v_state(s165, c_busy)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8941, 145, 8964])).
% 2.60/2.10 tff(8966,plain,
% 2.60/2.10 (((~![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))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8967,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s164, s165)) | node2(s164, s165))),
% 2.60/2.10 inference(quant_inst,[status(thm)],[])).
% 2.60/2.10 tff(8968,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s164, s165)) | node2(s164, s165)),
% 2.60/2.10 inference(modus_ponens,[status(thm)],[8967, 8966])).
% 2.60/2.10 tff(8969,plain,
% 2.60/2.10 (node2(s164, s165)),
% 2.60/2.10 inference(unit_resolution,[status(thm)],[8968, 7, 4090])).
% 2.60/2.10 tff(8970,plain,
% 2.60/2.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.60/2.10 inference(rewrite,[status(thm)],[])).
% 2.60/2.10 tff(8971,plain,
% 2.60/2.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s164, c_ready)) | (~node2(s164, s165)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s164)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(8972,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s164, c_ready)) | (~node2(s164, s165)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s164))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[8971, 8970])).
% 2.60/2.11 tff(8973,plain,
% 2.60/2.11 ((~m_main_v_state(s164, c_ready)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s164))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[8972, 166, 8969])).
% 2.60/2.11 tff(8974,plain,
% 2.60/2.11 (~m_main_v_state(s164, c_ready)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[8973, 8965, 8962])).
% 2.60/2.11 tff(8975,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(8976,plain,
% 2.60/2.11 (((~m_main_v_state(s164, c_busy)) | (~always3(s164))) <=> ((~always3(s164)) | (~m_main_v_state(s164, c_busy)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(8977,plain,
% 2.60/2.11 (((~![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))))),
% 2.60/2.11 inference(monotonicity,[status(thm)],[8976])).
% 2.60/2.11 tff(8978,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(transitivity,[status(thm)],[8977, 8975])).
% 2.60/2.11 tff(8979,plain,
% 2.60/2.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s164, c_busy)) | (~always3(s164)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(8980,plain,
% 2.60/2.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s164)) | (~m_main_v_state(s164, c_busy))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[8979, 8978])).
% 2.60/2.11 tff(8981,plain,
% 2.60/2.11 (~m_main_v_state(s164, c_busy)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[8980, 145, 8963])).
% 2.60/2.11 tff(8982,plain,
% 2.60/2.11 (((~![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))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(8983,plain,
% 2.60/2.11 ((~![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))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(8984,plain,
% 2.60/2.11 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s164, c_busy) | m_main_v_state(s164, c_ready)),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[8983, 8982])).
% 2.60/2.11 tff(8985,plain,
% 2.60/2.11 ($false),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[8984, 188, 8981, 8974])).
% 2.60/2.11 tff(8986,plain,(~node4(s164)), inference(lemma,lemma(discharge,[]))).
% 2.60/2.11 tff(8987,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(8988,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s164) | xuntil2p8(s164) | (~until2p7(s164)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(8989,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s164) | xuntil2p8(s164) | (~until2p7(s164))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[8988, 8987])).
% 2.60/2.11 tff(8990,plain,
% 2.60/2.11 (xuntil2p8(s164) | (~until2p7(s164))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[8989, 8293, 8986])).
% 2.60/2.11 tff(8991,plain,
% 2.60/2.11 (~until2p7(s164)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[8990, 8957])).
% 2.60/2.11 tff(8992,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(8993,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s163, s164)) | until2p7(s164) | (~xuntil2p8(s163)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(8994,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s163, s164)) | until2p7(s164) | (~xuntil2p8(s163))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[8993, 8992])).
% 2.60/2.11 tff(8995,plain,
% 2.60/2.11 (until2p7(s164) | (~xuntil2p8(s163))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[8994, 4098, 8308])).
% 2.60/2.11 tff(8996,plain,
% 2.60/2.11 (~xuntil2p8(s163)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[8995, 8991])).
% 2.60/2.11 tff(8997,plain,
% 2.60/2.11 (~always3(s166)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4070, 8862])).
% 2.60/2.11 tff(8998,plain,
% 2.60/2.11 (~always3(s165)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4082, 8997])).
% 2.60/2.11 tff(8999,plain,
% 2.60/2.11 (~always3(s164)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4094, 8998])).
% 2.60/2.11 tff(9000,plain,
% 2.60/2.11 (~always3(s163)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4106, 8999])).
% 2.60/2.11 tff(9001,plain,
% 2.60/2.11 (~node4(s163)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4338, 113, 9000])).
% 2.60/2.11 tff(9002,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9003,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s163) | xuntil2p8(s163) | (~until2p7(s163)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9004,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s163) | xuntil2p8(s163) | (~until2p7(s163))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9003, 9002])).
% 2.60/2.11 tff(9005,plain,
% 2.60/2.11 (xuntil2p8(s163) | (~until2p7(s163))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9004, 8293, 9001])).
% 2.60/2.11 tff(9006,plain,
% 2.60/2.11 (~until2p7(s163)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9005, 8996])).
% 2.60/2.11 tff(9007,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9008,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s162, s163)) | until2p7(s163) | (~xuntil2p8(s162)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9009,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s162, s163)) | until2p7(s163) | (~xuntil2p8(s162))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9008, 9007])).
% 2.60/2.11 tff(9010,plain,
% 2.60/2.11 (until2p7(s163) | (~xuntil2p8(s162))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9009, 4110, 8308])).
% 2.60/2.11 tff(9011,plain,
% 2.60/2.11 (~xuntil2p8(s162)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9010, 9006])).
% 2.60/2.11 tff(9012,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9013,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s162) | xuntil2p8(s162) | (~until2p7(s162)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9014,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s162) | xuntil2p8(s162) | (~until2p7(s162))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9013, 9012])).
% 2.60/2.11 tff(9015,plain,
% 2.60/2.11 (xuntil2p8(s162) | (~until2p7(s162))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9014, 8293, 4589])).
% 2.60/2.11 tff(9016,plain,
% 2.60/2.11 (~until2p7(s162)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9015, 9011])).
% 2.60/2.11 tff(9017,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9018,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s161, s162)) | until2p7(s162) | (~xuntil2p8(s161)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9019,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s161, s162)) | until2p7(s162) | (~xuntil2p8(s161))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9018, 9017])).
% 2.60/2.11 tff(9020,plain,
% 2.60/2.11 (until2p7(s162) | (~xuntil2p8(s161))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9019, 4122, 8308])).
% 2.60/2.11 tff(9021,plain,
% 2.60/2.11 (~xuntil2p8(s161)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9020, 9016])).
% 2.60/2.11 tff(9022,plain,
% 2.60/2.11 (~always3(s162)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4118, 9000])).
% 2.60/2.11 tff(9023,plain,
% 2.60/2.11 (~always3(s161)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4130, 9022])).
% 2.60/2.11 tff(9024,plain,
% 2.60/2.11 (~node4(s161)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4611, 113, 9023])).
% 2.60/2.11 tff(9025,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9026,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s161) | xuntil2p8(s161) | (~until2p7(s161)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9027,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s161) | xuntil2p8(s161) | (~until2p7(s161))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9026, 9025])).
% 2.60/2.11 tff(9028,plain,
% 2.60/2.11 (xuntil2p8(s161) | (~until2p7(s161))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9027, 8293, 9024])).
% 2.60/2.11 tff(9029,plain,
% 2.60/2.11 (~until2p7(s161)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9028, 9021])).
% 2.60/2.11 tff(9030,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9031,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s160, s161)) | until2p7(s161) | (~xuntil2p8(s160)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9032,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s160, s161)) | until2p7(s161) | (~xuntil2p8(s160))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9031, 9030])).
% 2.60/2.11 tff(9033,plain,
% 2.60/2.11 (until2p7(s161) | (~xuntil2p8(s160))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9032, 4134, 8308])).
% 2.60/2.11 tff(9034,plain,
% 2.60/2.11 (~xuntil2p8(s160)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9033, 9029])).
% 2.60/2.11 tff(9035,assumption,(node4(s160)), introduced(assumption)).
% 2.60/2.11 tff(9036,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9037,plain,
% 2.60/2.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s160) | (~node4(s160)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9038,plain,
% 2.60/2.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s160) | (~node4(s160))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9037, 9036])).
% 2.60/2.11 tff(9039,plain,
% 2.60/2.11 (m_main_v_request(s160)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9038, 63, 9035])).
% 2.60/2.11 tff(9040,plain,
% 2.60/2.11 (always3(s160)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4607, 113, 9035])).
% 2.60/2.11 tff(9041,plain,
% 2.60/2.11 (always3(s161)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4142, 9040])).
% 2.60/2.11 tff(9042,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9043,plain,
% 2.60/2.11 (((~m_main_v_state(s161, c_busy)) | (~always3(s161))) <=> ((~always3(s161)) | (~m_main_v_state(s161, c_busy)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9044,plain,
% 2.60/2.11 (((~![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))))),
% 2.60/2.11 inference(monotonicity,[status(thm)],[9043])).
% 2.60/2.11 tff(9045,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(transitivity,[status(thm)],[9044, 9042])).
% 2.60/2.11 tff(9046,plain,
% 2.60/2.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s161, c_busy)) | (~always3(s161)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9047,plain,
% 2.60/2.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s161)) | (~m_main_v_state(s161, c_busy))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9046, 9045])).
% 2.60/2.11 tff(9048,plain,
% 2.60/2.11 (~m_main_v_state(s161, c_busy)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9047, 145, 9041])).
% 2.60/2.11 tff(9049,plain,
% 2.60/2.11 (((~![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))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9050,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s160, s161)) | node2(s160, s161))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9051,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s160, s161)) | node2(s160, s161)),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9050, 9049])).
% 2.60/2.11 tff(9052,plain,
% 2.60/2.11 (node2(s160, s161)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9051, 7, 4138])).
% 2.60/2.11 tff(9053,plain,
% 2.60/2.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9054,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s160, c_ready)) | (~node2(s160, s161)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s160)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9055,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s160, c_ready)) | (~node2(s160, s161)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s160))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9054, 9053])).
% 2.60/2.11 tff(9056,plain,
% 2.60/2.11 ((~m_main_v_state(s160, c_ready)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s160))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9055, 166, 9052])).
% 2.60/2.11 tff(9057,plain,
% 2.60/2.11 (~m_main_v_state(s160, c_ready)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9056, 9048, 9039])).
% 2.60/2.11 tff(9058,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9059,plain,
% 2.60/2.11 (((~m_main_v_state(s160, c_busy)) | (~always3(s160))) <=> ((~always3(s160)) | (~m_main_v_state(s160, c_busy)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9060,plain,
% 2.60/2.11 (((~![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))))),
% 2.60/2.11 inference(monotonicity,[status(thm)],[9059])).
% 2.60/2.11 tff(9061,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(transitivity,[status(thm)],[9060, 9058])).
% 2.60/2.11 tff(9062,plain,
% 2.60/2.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s160, c_busy)) | (~always3(s160)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9063,plain,
% 2.60/2.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s160)) | (~m_main_v_state(s160, c_busy))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9062, 9061])).
% 2.60/2.11 tff(9064,plain,
% 2.60/2.11 (~m_main_v_state(s160, c_busy)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9063, 145, 9040])).
% 2.60/2.11 tff(9065,plain,
% 2.60/2.11 (((~![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))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9066,plain,
% 2.60/2.11 ((~![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))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9067,plain,
% 2.60/2.11 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s160, c_busy) | m_main_v_state(s160, c_ready)),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9066, 9065])).
% 2.60/2.11 tff(9068,plain,
% 2.60/2.11 ($false),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9067, 188, 9064, 9057])).
% 2.60/2.11 tff(9069,plain,(~node4(s160)), inference(lemma,lemma(discharge,[]))).
% 2.60/2.11 tff(9070,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9071,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s160) | xuntil2p8(s160) | (~until2p7(s160)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9072,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s160) | xuntil2p8(s160) | (~until2p7(s160))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9071, 9070])).
% 2.60/2.11 tff(9073,plain,
% 2.60/2.11 (xuntil2p8(s160) | (~until2p7(s160))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9072, 8293, 9069])).
% 2.60/2.11 tff(9074,plain,
% 2.60/2.11 (~until2p7(s160)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9073, 9034])).
% 2.60/2.11 tff(9075,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9076,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s159, s160)) | until2p7(s160) | (~xuntil2p8(s159)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9077,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s159, s160)) | until2p7(s160) | (~xuntil2p8(s159))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9076, 9075])).
% 2.60/2.11 tff(9078,plain,
% 2.60/2.11 (until2p7(s160) | (~xuntil2p8(s159))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9077, 4146, 8308])).
% 2.60/2.11 tff(9079,plain,
% 2.60/2.11 (~xuntil2p8(s159)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9078, 9074])).
% 2.60/2.11 tff(9080,plain,
% 2.60/2.11 (~always3(s160)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4142, 9023])).
% 2.60/2.11 tff(9081,plain,
% 2.60/2.11 (~always3(s159)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4154, 9080])).
% 2.60/2.11 tff(9082,plain,
% 2.60/2.11 (~node4(s159)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4642, 113, 9081])).
% 2.60/2.11 tff(9083,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9084,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s159) | xuntil2p8(s159) | (~until2p7(s159)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9085,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s159) | xuntil2p8(s159) | (~until2p7(s159))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9084, 9083])).
% 2.60/2.11 tff(9086,plain,
% 2.60/2.11 (xuntil2p8(s159) | (~until2p7(s159))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9085, 8293, 9082])).
% 2.60/2.11 tff(9087,plain,
% 2.60/2.11 (~until2p7(s159)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9086, 9079])).
% 2.60/2.11 tff(9088,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9089,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s158, s159)) | until2p7(s159) | (~xuntil2p8(s158)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9090,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s158, s159)) | until2p7(s159) | (~xuntil2p8(s158))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9089, 9088])).
% 2.60/2.11 tff(9091,plain,
% 2.60/2.11 (until2p7(s159) | (~xuntil2p8(s158))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9090, 4158, 8308])).
% 2.60/2.11 tff(9092,plain,
% 2.60/2.11 (~xuntil2p8(s158)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9091, 9087])).
% 2.60/2.11 tff(9093,plain,
% 2.60/2.11 (~always3(s158)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4166, 9081])).
% 2.60/2.11 tff(9094,plain,
% 2.60/2.11 (~node4(s158)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4660, 113, 9093])).
% 2.60/2.11 tff(9095,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9096,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s158) | xuntil2p8(s158) | (~until2p7(s158)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9097,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s158) | xuntil2p8(s158) | (~until2p7(s158))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9096, 9095])).
% 2.60/2.11 tff(9098,plain,
% 2.60/2.11 (xuntil2p8(s158) | (~until2p7(s158))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9097, 8293, 9094])).
% 2.60/2.11 tff(9099,plain,
% 2.60/2.11 (~until2p7(s158)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9098, 9092])).
% 2.60/2.11 tff(9100,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9101,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s157, s158)) | until2p7(s158) | (~xuntil2p8(s157)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9102,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s157, s158)) | until2p7(s158) | (~xuntil2p8(s157))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9101, 9100])).
% 2.60/2.11 tff(9103,plain,
% 2.60/2.11 (until2p7(s158) | (~xuntil2p8(s157))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9102, 4170, 8308])).
% 2.60/2.11 tff(9104,plain,
% 2.60/2.11 (~xuntil2p8(s157)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9103, 9099])).
% 2.60/2.11 tff(9105,plain,
% 2.60/2.11 (~always3(s157)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4178, 9093])).
% 2.60/2.11 tff(9106,plain,
% 2.60/2.11 (~node4(s157)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4678, 113, 9105])).
% 2.60/2.11 tff(9107,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9108,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s157) | xuntil2p8(s157) | (~until2p7(s157)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9109,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s157) | xuntil2p8(s157) | (~until2p7(s157))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9108, 9107])).
% 2.60/2.11 tff(9110,plain,
% 2.60/2.11 (xuntil2p8(s157) | (~until2p7(s157))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9109, 8293, 9106])).
% 2.60/2.11 tff(9111,plain,
% 2.60/2.11 (~until2p7(s157)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9110, 9104])).
% 2.60/2.11 tff(9112,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9113,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s156, s157)) | until2p7(s157) | (~xuntil2p8(s156)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9114,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s156, s157)) | until2p7(s157) | (~xuntil2p8(s156))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9113, 9112])).
% 2.60/2.11 tff(9115,plain,
% 2.60/2.11 (until2p7(s157) | (~xuntil2p8(s156))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9114, 4182, 8308])).
% 2.60/2.11 tff(9116,plain,
% 2.60/2.11 (~xuntil2p8(s156)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9115, 9111])).
% 2.60/2.11 tff(9117,plain,
% 2.60/2.11 (~always3(s156)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4190, 9105])).
% 2.60/2.11 tff(9118,plain,
% 2.60/2.11 (~node4(s156)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4763, 113, 9117])).
% 2.60/2.11 tff(9119,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9120,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s156) | xuntil2p8(s156) | (~until2p7(s156)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9121,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s156) | xuntil2p8(s156) | (~until2p7(s156))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9120, 9119])).
% 2.60/2.11 tff(9122,plain,
% 2.60/2.11 (xuntil2p8(s156) | (~until2p7(s156))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9121, 8293, 9118])).
% 2.60/2.11 tff(9123,plain,
% 2.60/2.11 (~until2p7(s156)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9122, 9116])).
% 2.60/2.11 tff(9124,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9125,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s155, s156)) | until2p7(s156) | (~xuntil2p8(s155)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9126,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s155, s156)) | until2p7(s156) | (~xuntil2p8(s155))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9125, 9124])).
% 2.60/2.11 tff(9127,plain,
% 2.60/2.11 (until2p7(s156) | (~xuntil2p8(s155))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9126, 4194, 8308])).
% 2.60/2.11 tff(9128,plain,
% 2.60/2.11 (~xuntil2p8(s155)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9127, 9123])).
% 2.60/2.11 tff(9129,plain,
% 2.60/2.11 (~always3(s155)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4202, 9117])).
% 2.60/2.11 tff(9130,plain,
% 2.60/2.11 (~node4(s155)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4746, 113, 9129])).
% 2.60/2.11 tff(9131,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9132,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s155) | xuntil2p8(s155) | (~until2p7(s155)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9133,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s155) | xuntil2p8(s155) | (~until2p7(s155))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9132, 9131])).
% 2.60/2.11 tff(9134,plain,
% 2.60/2.11 (xuntil2p8(s155) | (~until2p7(s155))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9133, 8293, 9130])).
% 2.60/2.11 tff(9135,plain,
% 2.60/2.11 (~until2p7(s155)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9134, 9128])).
% 2.60/2.11 tff(9136,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9137,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s154, s155)) | until2p7(s155) | (~xuntil2p8(s154)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9138,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s154, s155)) | until2p7(s155) | (~xuntil2p8(s154))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9137, 9136])).
% 2.60/2.11 tff(9139,plain,
% 2.60/2.11 (until2p7(s155) | (~xuntil2p8(s154))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9138, 4206, 8308])).
% 2.60/2.11 tff(9140,plain,
% 2.60/2.11 (~xuntil2p8(s154)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9139, 9135])).
% 2.60/2.11 tff(9141,plain,
% 2.60/2.11 (~always3(s154)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4214, 9129])).
% 2.60/2.11 tff(9142,plain,
% 2.60/2.11 (~node4(s154)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4729, 113, 9141])).
% 2.60/2.11 tff(9143,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9144,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s154) | xuntil2p8(s154) | (~until2p7(s154)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9145,plain,
% 2.60/2.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s154) | xuntil2p8(s154) | (~until2p7(s154))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9144, 9143])).
% 2.60/2.11 tff(9146,plain,
% 2.60/2.11 (xuntil2p8(s154) | (~until2p7(s154))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9145, 8293, 9142])).
% 2.60/2.11 tff(9147,plain,
% 2.60/2.11 (~until2p7(s154)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9146, 9140])).
% 2.60/2.11 tff(9148,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9149,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s153, s154)) | until2p7(s154) | (~xuntil2p8(s153)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9150,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s153, s154)) | until2p7(s154) | (~xuntil2p8(s153))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9149, 9148])).
% 2.60/2.11 tff(9151,plain,
% 2.60/2.11 (until2p7(s154) | (~xuntil2p8(s153))),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9150, 4218, 8308])).
% 2.60/2.11 tff(9152,plain,
% 2.60/2.11 (~xuntil2p8(s153)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9151, 9147])).
% 2.60/2.11 tff(9153,assumption,(node4(s153)), introduced(assumption)).
% 2.60/2.11 tff(9154,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9155,plain,
% 2.60/2.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s153) | (~node4(s153)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9156,plain,
% 2.60/2.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s153) | (~node4(s153))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9155, 9154])).
% 2.60/2.11 tff(9157,plain,
% 2.60/2.11 (m_main_v_request(s153)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9156, 63, 9153])).
% 2.60/2.11 tff(9158,plain,
% 2.60/2.11 (always3(s153)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4694, 113, 9153])).
% 2.60/2.11 tff(9159,plain,
% 2.60/2.11 (always3(s154)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[4226, 9158])).
% 2.60/2.11 tff(9160,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9161,plain,
% 2.60/2.11 (((~m_main_v_state(s154, c_busy)) | (~always3(s154))) <=> ((~always3(s154)) | (~m_main_v_state(s154, c_busy)))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9162,plain,
% 2.60/2.11 (((~![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))))),
% 2.60/2.11 inference(monotonicity,[status(thm)],[9161])).
% 2.60/2.11 tff(9163,plain,
% 2.60/2.11 (((~![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)))),
% 2.60/2.11 inference(transitivity,[status(thm)],[9162, 9160])).
% 2.60/2.11 tff(9164,plain,
% 2.60/2.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s154, c_busy)) | (~always3(s154)))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9165,plain,
% 2.60/2.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s154)) | (~m_main_v_state(s154, c_busy))),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9164, 9163])).
% 2.60/2.11 tff(9166,plain,
% 2.60/2.11 (~m_main_v_state(s154, c_busy)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9165, 145, 9159])).
% 2.60/2.11 tff(9167,plain,
% 2.60/2.11 (((~![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))),
% 2.60/2.11 inference(rewrite,[status(thm)],[])).
% 2.60/2.11 tff(9168,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s153, s154)) | node2(s153, s154))),
% 2.60/2.11 inference(quant_inst,[status(thm)],[])).
% 2.60/2.11 tff(9169,plain,
% 2.60/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s153, s154)) | node2(s153, s154)),
% 2.60/2.11 inference(modus_ponens,[status(thm)],[9168, 9167])).
% 2.60/2.11 tff(9170,plain,
% 2.60/2.11 (node2(s153, s154)),
% 2.60/2.11 inference(unit_resolution,[status(thm)],[9169, 7, 4222])).
% 2.60/2.11 tff(9171,plain,
% 2.60/2.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.60/2.12 inference(rewrite,[status(thm)],[])).
% 2.60/2.12 tff(9172,plain,
% 2.60/2.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s153, c_ready)) | (~node2(s153, s154)) | m_main_v_state(s154, c_busy) | (~m_main_v_request(s153)))),
% 2.60/2.12 inference(quant_inst,[status(thm)],[])).
% 2.60/2.12 tff(9173,plain,
% 2.60/2.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s153, c_ready)) | (~node2(s153, s154)) | m_main_v_state(s154, c_busy) | (~m_main_v_request(s153))),
% 2.60/2.12 inference(modus_ponens,[status(thm)],[9172, 9171])).
% 2.60/2.12 tff(9174,plain,
% 2.60/2.12 ((~m_main_v_state(s153, c_ready)) | m_main_v_state(s154, c_busy) | (~m_main_v_request(s153))),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[9173, 166, 9170])).
% 2.60/2.12 tff(9175,plain,
% 2.60/2.12 (~m_main_v_state(s153, c_ready)),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[9174, 9166, 9157])).
% 2.60/2.12 tff(9176,plain,
% 2.60/2.12 (((~![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)))),
% 2.60/2.12 inference(rewrite,[status(thm)],[])).
% 2.60/2.12 tff(9177,plain,
% 2.60/2.12 (((~m_main_v_state(s153, c_busy)) | (~always3(s153))) <=> ((~always3(s153)) | (~m_main_v_state(s153, c_busy)))),
% 2.60/2.12 inference(rewrite,[status(thm)],[])).
% 2.60/2.12 tff(9178,plain,
% 2.60/2.12 (((~![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))))),
% 2.60/2.12 inference(monotonicity,[status(thm)],[9177])).
% 2.60/2.12 tff(9179,plain,
% 2.60/2.12 (((~![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)))),
% 2.60/2.12 inference(transitivity,[status(thm)],[9178, 9176])).
% 2.60/2.12 tff(9180,plain,
% 2.60/2.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s153, c_busy)) | (~always3(s153)))),
% 2.60/2.12 inference(quant_inst,[status(thm)],[])).
% 2.60/2.12 tff(9181,plain,
% 2.60/2.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s153)) | (~m_main_v_state(s153, c_busy))),
% 2.60/2.12 inference(modus_ponens,[status(thm)],[9180, 9179])).
% 2.60/2.12 tff(9182,plain,
% 2.60/2.12 (~m_main_v_state(s153, c_busy)),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[9181, 145, 9158])).
% 2.60/2.12 tff(9183,plain,
% 2.60/2.12 (((~![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))),
% 2.60/2.12 inference(rewrite,[status(thm)],[])).
% 2.60/2.12 tff(9184,plain,
% 2.60/2.12 ((~![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))),
% 2.60/2.12 inference(quant_inst,[status(thm)],[])).
% 2.60/2.12 tff(9185,plain,
% 2.60/2.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s153, c_busy) | m_main_v_state(s153, c_ready)),
% 2.60/2.12 inference(modus_ponens,[status(thm)],[9184, 9183])).
% 2.60/2.12 tff(9186,plain,
% 2.60/2.12 ($false),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[9185, 188, 9182, 9175])).
% 2.60/2.12 tff(9187,plain,(~node4(s153)), inference(lemma,lemma(discharge,[]))).
% 2.60/2.12 tff(9188,plain,
% 2.60/2.12 (((~![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)))),
% 2.60/2.12 inference(rewrite,[status(thm)],[])).
% 2.60/2.12 tff(9189,plain,
% 2.60/2.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s153) | xuntil2p8(s153) | (~until2p7(s153)))),
% 2.60/2.12 inference(quant_inst,[status(thm)],[])).
% 2.60/2.12 tff(9190,plain,
% 2.60/2.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s153) | xuntil2p8(s153) | (~until2p7(s153))),
% 2.60/2.12 inference(modus_ponens,[status(thm)],[9189, 9188])).
% 2.60/2.12 tff(9191,plain,
% 2.60/2.12 (xuntil2p8(s153) | (~until2p7(s153))),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[9190, 8293, 9187])).
% 2.60/2.12 tff(9192,plain,
% 2.60/2.12 (~until2p7(s153)),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[9191, 9152])).
% 2.60/2.12 tff(9193,plain,
% 2.60/2.12 (((~![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)))),
% 2.60/2.12 inference(rewrite,[status(thm)],[])).
% 2.60/2.12 tff(9194,plain,
% 2.60/2.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s152, s153)) | until2p7(s153) | (~xuntil2p8(s152)))),
% 2.60/2.12 inference(quant_inst,[status(thm)],[])).
% 2.60/2.12 tff(9195,plain,
% 2.60/2.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s152, s153)) | until2p7(s153) | (~xuntil2p8(s152))),
% 2.60/2.12 inference(modus_ponens,[status(thm)],[9194, 9193])).
% 2.60/2.12 tff(9196,plain,
% 2.60/2.12 (until2p7(s153) | (~xuntil2p8(s152))),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[9195, 4230, 8308])).
% 2.60/2.12 tff(9197,plain,
% 2.60/2.12 (~xuntil2p8(s152)),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[9196, 9192])).
% 2.60/2.12 tff(9198,assumption,(node4(s152)), introduced(assumption)).
% 2.60/2.12 tff(9199,plain,
% 2.60/2.12 (((~![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)))),
% 2.60/2.12 inference(rewrite,[status(thm)],[])).
% 2.60/2.12 tff(9200,plain,
% 2.60/2.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s152) | (~node4(s152)))),
% 2.60/2.12 inference(quant_inst,[status(thm)],[])).
% 2.60/2.12 tff(9201,plain,
% 2.60/2.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s152) | (~node4(s152))),
% 2.60/2.12 inference(modus_ponens,[status(thm)],[9200, 9199])).
% 2.60/2.12 tff(9202,plain,
% 2.60/2.12 (m_main_v_request(s152)),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[9201, 63, 9198])).
% 2.60/2.12 tff(9203,plain,
% 2.60/2.12 (always3(s152)),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[4699, 113, 9198])).
% 2.60/2.12 tff(9204,plain,
% 2.60/2.12 (always3(s153)),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[4238, 9203])).
% 2.60/2.12 tff(9205,plain,
% 2.60/2.12 (~m_main_v_state(s153, c_busy)),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[9181, 145, 9204])).
% 2.60/2.12 tff(9206,plain,
% 2.60/2.12 (((~![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))),
% 2.60/2.12 inference(rewrite,[status(thm)],[])).
% 2.60/2.12 tff(9207,plain,
% 2.60/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s152, s153)) | node2(s152, s153))),
% 2.60/2.12 inference(quant_inst,[status(thm)],[])).
% 2.60/2.12 tff(9208,plain,
% 2.60/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s152, s153)) | node2(s152, s153)),
% 2.60/2.12 inference(modus_ponens,[status(thm)],[9207, 9206])).
% 2.60/2.12 tff(9209,plain,
% 2.60/2.12 (node2(s152, s153)),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[9208, 7, 4234])).
% 2.60/2.12 tff(9210,plain,
% 2.60/2.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.60/2.12 inference(rewrite,[status(thm)],[])).
% 2.60/2.12 tff(9211,plain,
% 2.60/2.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s152, c_ready)) | (~node2(s152, s153)) | m_main_v_state(s153, c_busy) | (~m_main_v_request(s152)))),
% 2.60/2.12 inference(quant_inst,[status(thm)],[])).
% 2.60/2.12 tff(9212,plain,
% 2.60/2.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s152, c_ready)) | (~node2(s152, s153)) | m_main_v_state(s153, c_busy) | (~m_main_v_request(s152))),
% 2.60/2.12 inference(modus_ponens,[status(thm)],[9211, 9210])).
% 2.60/2.12 tff(9213,plain,
% 2.60/2.12 ((~m_main_v_state(s152, c_ready)) | m_main_v_state(s153, c_busy) | (~m_main_v_request(s152))),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[9212, 166, 9209])).
% 2.60/2.12 tff(9214,plain,
% 2.60/2.12 (~m_main_v_state(s152, c_ready)),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[9213, 9205, 9202])).
% 2.60/2.12 tff(9215,plain,
% 2.60/2.12 (((~![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)))),
% 2.60/2.12 inference(rewrite,[status(thm)],[])).
% 2.60/2.12 tff(9216,plain,
% 2.60/2.12 (((~m_main_v_state(s152, c_busy)) | (~always3(s152))) <=> ((~always3(s152)) | (~m_main_v_state(s152, c_busy)))),
% 2.60/2.12 inference(rewrite,[status(thm)],[])).
% 2.60/2.12 tff(9217,plain,
% 2.60/2.12 (((~![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))))),
% 2.60/2.12 inference(monotonicity,[status(thm)],[9216])).
% 2.60/2.12 tff(9218,plain,
% 2.60/2.12 (((~![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)))),
% 2.60/2.12 inference(transitivity,[status(thm)],[9217, 9215])).
% 2.60/2.12 tff(9219,plain,
% 2.60/2.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s152, c_busy)) | (~always3(s152)))),
% 2.60/2.12 inference(quant_inst,[status(thm)],[])).
% 2.60/2.12 tff(9220,plain,
% 2.60/2.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s152)) | (~m_main_v_state(s152, c_busy))),
% 2.60/2.12 inference(modus_ponens,[status(thm)],[9219, 9218])).
% 2.60/2.12 tff(9221,plain,
% 2.60/2.12 (~m_main_v_state(s152, c_busy)),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[9220, 145, 9203])).
% 2.60/2.12 tff(9222,plain,
% 2.60/2.12 (((~![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))),
% 2.60/2.12 inference(rewrite,[status(thm)],[])).
% 2.60/2.12 tff(9223,plain,
% 2.60/2.12 ((~![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))),
% 2.60/2.12 inference(quant_inst,[status(thm)],[])).
% 2.60/2.12 tff(9224,plain,
% 2.60/2.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s152, c_busy) | m_main_v_state(s152, c_ready)),
% 2.60/2.12 inference(modus_ponens,[status(thm)],[9223, 9222])).
% 2.60/2.12 tff(9225,plain,
% 2.60/2.12 ($false),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[9224, 188, 9221, 9214])).
% 2.60/2.12 tff(9226,plain,(~node4(s152)), inference(lemma,lemma(discharge,[]))).
% 2.60/2.12 tff(9227,plain,
% 2.60/2.12 (((~![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)))),
% 2.60/2.12 inference(rewrite,[status(thm)],[])).
% 2.60/2.12 tff(9228,plain,
% 2.60/2.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s152) | xuntil2p8(s152) | (~until2p7(s152)))),
% 2.60/2.12 inference(quant_inst,[status(thm)],[])).
% 2.60/2.12 tff(9229,plain,
% 2.60/2.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s152) | xuntil2p8(s152) | (~until2p7(s152))),
% 2.60/2.12 inference(modus_ponens,[status(thm)],[9228, 9227])).
% 2.60/2.12 tff(9230,plain,
% 2.60/2.12 (xuntil2p8(s152) | (~until2p7(s152))),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[9229, 8293, 9226])).
% 2.60/2.12 tff(9231,plain,
% 2.60/2.12 (~until2p7(s152)),
% 2.60/2.12 inference(unit_resolution,[status(thm)],[9230, 9197])).
% 2.60/2.12 tff(9232,plain,
% 2.60/2.12 (((~![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)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9233,plain,
% 2.65/2.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s151, s152)) | until2p7(s152) | (~xuntil2p8(s151)))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9234,plain,
% 2.65/2.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s151, s152)) | until2p7(s152) | (~xuntil2p8(s151))),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9233, 9232])).
% 2.65/2.12 tff(9235,plain,
% 2.65/2.12 (until2p7(s152) | (~xuntil2p8(s151))),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9234, 4242, 8308])).
% 2.65/2.12 tff(9236,plain,
% 2.65/2.12 (~xuntil2p8(s151)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9235, 9231])).
% 2.65/2.12 tff(9237,plain,
% 2.65/2.12 (~always3(s153)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[4226, 9141])).
% 2.65/2.12 tff(9238,plain,
% 2.65/2.12 (~always3(s152)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[4238, 9237])).
% 2.65/2.12 tff(9239,plain,
% 2.65/2.12 (~always3(s151)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[4250, 9238])).
% 2.65/2.12 tff(9240,plain,
% 2.65/2.12 (~node4(s151)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[4787, 113, 9239])).
% 2.65/2.12 tff(9241,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9242,plain,
% 2.65/2.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s151) | xuntil2p8(s151) | (~until2p7(s151)))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9243,plain,
% 2.65/2.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s151) | xuntil2p8(s151) | (~until2p7(s151))),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9242, 9241])).
% 2.65/2.12 tff(9244,plain,
% 2.65/2.12 (xuntil2p8(s151) | (~until2p7(s151))),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9243, 8293, 9240])).
% 2.65/2.12 tff(9245,plain,
% 2.65/2.12 (~until2p7(s151)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9244, 9236])).
% 2.65/2.12 tff(9246,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9247,plain,
% 2.65/2.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s150, s151)) | until2p7(s151) | (~xuntil2p8(s150)))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9248,plain,
% 2.65/2.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s150, s151)) | until2p7(s151) | (~xuntil2p8(s150))),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9247, 9246])).
% 2.65/2.12 tff(9249,plain,
% 2.65/2.12 (until2p7(s151) | (~xuntil2p8(s150))),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9248, 4254, 8308])).
% 2.65/2.12 tff(9250,plain,
% 2.65/2.12 (~xuntil2p8(s150)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9249, 9245])).
% 2.65/2.12 tff(9251,plain,
% 2.65/2.12 (~always3(s150)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[4262, 9239])).
% 2.65/2.12 tff(9252,plain,
% 2.65/2.12 (~node4(s150)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[4810, 113, 9251])).
% 2.65/2.12 tff(9253,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9254,plain,
% 2.65/2.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s150) | xuntil2p8(s150) | (~until2p7(s150)))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9255,plain,
% 2.65/2.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s150) | xuntil2p8(s150) | (~until2p7(s150))),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9254, 9253])).
% 2.65/2.12 tff(9256,plain,
% 2.65/2.12 (xuntil2p8(s150) | (~until2p7(s150))),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9255, 8293, 9252])).
% 2.65/2.12 tff(9257,plain,
% 2.65/2.12 (~until2p7(s150)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9256, 9250])).
% 2.65/2.12 tff(9258,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9259,plain,
% 2.65/2.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s149, s150)) | until2p7(s150) | (~xuntil2p8(s149)))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9260,plain,
% 2.65/2.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s149, s150)) | until2p7(s150) | (~xuntil2p8(s149))),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9259, 9258])).
% 2.65/2.12 tff(9261,plain,
% 2.65/2.12 (until2p7(s150) | (~xuntil2p8(s149))),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9260, 4266, 8308])).
% 2.65/2.12 tff(9262,plain,
% 2.65/2.12 (~xuntil2p8(s149)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9261, 9257])).
% 2.65/2.12 tff(9263,plain,
% 2.65/2.12 (~always3(s149)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[4274, 9251])).
% 2.65/2.12 tff(9264,plain,
% 2.65/2.12 (~node4(s149)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[4806, 113, 9263])).
% 2.65/2.12 tff(9265,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9266,plain,
% 2.65/2.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s149) | xuntil2p8(s149) | (~until2p7(s149)))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9267,plain,
% 2.65/2.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s149) | xuntil2p8(s149) | (~until2p7(s149))),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9266, 9265])).
% 2.65/2.12 tff(9268,plain,
% 2.65/2.12 (xuntil2p8(s149) | (~until2p7(s149))),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9267, 8293, 9264])).
% 2.65/2.12 tff(9269,plain,
% 2.65/2.12 (~until2p7(s149)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9268, 9262])).
% 2.65/2.12 tff(9270,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9271,plain,
% 2.65/2.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s148, s149)) | until2p7(s149) | (~xuntil2p8(s148)))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9272,plain,
% 2.65/2.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s148, s149)) | until2p7(s149) | (~xuntil2p8(s148))),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9271, 9270])).
% 2.65/2.12 tff(9273,plain,
% 2.65/2.12 (until2p7(s149) | (~xuntil2p8(s148))),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9272, 4278, 8308])).
% 2.65/2.12 tff(9274,plain,
% 2.65/2.12 (~xuntil2p8(s148)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9273, 9269])).
% 2.65/2.12 tff(9275,assumption,(node4(s148)), introduced(assumption)).
% 2.65/2.12 tff(9276,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9277,plain,
% 2.65/2.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s148) | (~node4(s148)))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9278,plain,
% 2.65/2.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s148) | (~node4(s148))),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9277, 9276])).
% 2.65/2.12 tff(9279,plain,
% 2.65/2.12 (m_main_v_request(s148)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9278, 63, 9275])).
% 2.65/2.12 tff(9280,plain,
% 2.65/2.12 (always3(s148)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[4829, 113, 9275])).
% 2.65/2.12 tff(9281,plain,
% 2.65/2.12 (always3(s149)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[4286, 9280])).
% 2.65/2.12 tff(9282,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9283,plain,
% 2.65/2.12 (((~m_main_v_state(s149, c_busy)) | (~always3(s149))) <=> ((~always3(s149)) | (~m_main_v_state(s149, c_busy)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9284,plain,
% 2.65/2.12 (((~![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))))),
% 2.65/2.12 inference(monotonicity,[status(thm)],[9283])).
% 2.65/2.12 tff(9285,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.12 inference(transitivity,[status(thm)],[9284, 9282])).
% 2.65/2.12 tff(9286,plain,
% 2.65/2.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s149, c_busy)) | (~always3(s149)))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9287,plain,
% 2.65/2.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s149)) | (~m_main_v_state(s149, c_busy))),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9286, 9285])).
% 2.65/2.12 tff(9288,plain,
% 2.65/2.12 (~m_main_v_state(s149, c_busy)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9287, 145, 9281])).
% 2.65/2.12 tff(9289,plain,
% 2.65/2.12 (((~![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))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9290,plain,
% 2.65/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s148, s149)) | node2(s148, s149))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9291,plain,
% 2.65/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s148, s149)) | node2(s148, s149)),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9290, 9289])).
% 2.65/2.12 tff(9292,plain,
% 2.65/2.12 (node2(s148, s149)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9291, 7, 4282])).
% 2.65/2.12 tff(9293,plain,
% 2.65/2.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9294,plain,
% 2.65/2.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s148, c_ready)) | (~node2(s148, s149)) | m_main_v_state(s149, c_busy) | (~m_main_v_request(s148)))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9295,plain,
% 2.65/2.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s148, c_ready)) | (~node2(s148, s149)) | m_main_v_state(s149, c_busy) | (~m_main_v_request(s148))),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9294, 9293])).
% 2.65/2.12 tff(9296,plain,
% 2.65/2.12 ((~m_main_v_state(s148, c_ready)) | m_main_v_state(s149, c_busy) | (~m_main_v_request(s148))),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9295, 166, 9292])).
% 2.65/2.12 tff(9297,plain,
% 2.65/2.12 (~m_main_v_state(s148, c_ready)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9296, 9288, 9279])).
% 2.65/2.12 tff(9298,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9299,plain,
% 2.65/2.12 (((~m_main_v_state(s148, c_busy)) | (~always3(s148))) <=> ((~always3(s148)) | (~m_main_v_state(s148, c_busy)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9300,plain,
% 2.65/2.12 (((~![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))))),
% 2.65/2.12 inference(monotonicity,[status(thm)],[9299])).
% 2.65/2.12 tff(9301,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.12 inference(transitivity,[status(thm)],[9300, 9298])).
% 2.65/2.12 tff(9302,plain,
% 2.65/2.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s148, c_busy)) | (~always3(s148)))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9303,plain,
% 2.65/2.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s148)) | (~m_main_v_state(s148, c_busy))),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9302, 9301])).
% 2.65/2.12 tff(9304,plain,
% 2.65/2.12 (~m_main_v_state(s148, c_busy)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9303, 145, 9280])).
% 2.65/2.12 tff(9305,plain,
% 2.65/2.12 (((~![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))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9306,plain,
% 2.65/2.12 ((~![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))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9307,plain,
% 2.65/2.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s148, c_busy) | m_main_v_state(s148, c_ready)),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9306, 9305])).
% 2.65/2.12 tff(9308,plain,
% 2.65/2.12 ($false),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9307, 188, 9304, 9297])).
% 2.65/2.12 tff(9309,plain,(~node4(s148)), inference(lemma,lemma(discharge,[]))).
% 2.65/2.12 tff(9310,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9311,plain,
% 2.65/2.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s148) | xuntil2p8(s148) | (~until2p7(s148)))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9312,plain,
% 2.65/2.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s148) | xuntil2p8(s148) | (~until2p7(s148))),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9311, 9310])).
% 2.65/2.12 tff(9313,plain,
% 2.65/2.12 (xuntil2p8(s148) | (~until2p7(s148))),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9312, 8293, 9309])).
% 2.65/2.12 tff(9314,plain,
% 2.65/2.12 (~until2p7(s148)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9313, 9274])).
% 2.65/2.12 tff(9315,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9316,plain,
% 2.65/2.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s147, s148)) | until2p7(s148) | (~xuntil2p8(s147)))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9317,plain,
% 2.65/2.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s147, s148)) | until2p7(s148) | (~xuntil2p8(s147))),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9316, 9315])).
% 2.65/2.12 tff(9318,plain,
% 2.65/2.12 (until2p7(s148) | (~xuntil2p8(s147))),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9317, 4290, 8308])).
% 2.65/2.12 tff(9319,plain,
% 2.65/2.12 (~xuntil2p8(s147)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9318, 9314])).
% 2.65/2.12 tff(9320,plain,
% 2.65/2.12 (~always3(s148)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[4286, 9263])).
% 2.65/2.12 tff(9321,plain,
% 2.65/2.12 (~always3(s147)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[4298, 9320])).
% 2.65/2.12 tff(9322,plain,
% 2.65/2.12 (~node4(s147)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[4861, 113, 9321])).
% 2.65/2.12 tff(9323,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9324,plain,
% 2.65/2.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s147) | xuntil2p8(s147) | (~until2p7(s147)))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9325,plain,
% 2.65/2.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s147) | xuntil2p8(s147) | (~until2p7(s147))),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9324, 9323])).
% 2.65/2.12 tff(9326,plain,
% 2.65/2.12 (xuntil2p8(s147) | (~until2p7(s147))),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9325, 8293, 9322])).
% 2.65/2.12 tff(9327,plain,
% 2.65/2.12 (~until2p7(s147)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9326, 9319])).
% 2.65/2.12 tff(9328,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9329,plain,
% 2.65/2.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s146, s147)) | until2p7(s147) | (~xuntil2p8(s146)))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9330,plain,
% 2.65/2.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s146, s147)) | until2p7(s147) | (~xuntil2p8(s146))),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9329, 9328])).
% 2.65/2.12 tff(9331,plain,
% 2.65/2.12 (until2p7(s147) | (~xuntil2p8(s146))),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9330, 4302, 8308])).
% 2.65/2.12 tff(9332,plain,
% 2.65/2.12 (~xuntil2p8(s146)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9331, 9327])).
% 2.65/2.12 tff(9333,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9334,plain,
% 2.65/2.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s146) | xuntil2p8(s146) | (~until2p7(s146)))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9335,plain,
% 2.65/2.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s146) | xuntil2p8(s146) | (~until2p7(s146))),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9334, 9333])).
% 2.65/2.12 tff(9336,plain,
% 2.65/2.12 (xuntil2p8(s146) | (~until2p7(s146))),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9335, 8293, 4913])).
% 2.65/2.12 tff(9337,plain,
% 2.65/2.12 (~until2p7(s146)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9336, 9332])).
% 2.65/2.12 tff(9338,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9339,plain,
% 2.65/2.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s145, s146)) | until2p7(s146) | (~xuntil2p8(s145)))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9340,plain,
% 2.65/2.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s145, s146)) | until2p7(s146) | (~xuntil2p8(s145))),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9339, 9338])).
% 2.65/2.12 tff(9341,plain,
% 2.65/2.12 (until2p7(s146) | (~xuntil2p8(s145))),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9340, 4314, 8308])).
% 2.65/2.12 tff(9342,plain,
% 2.65/2.12 (~xuntil2p8(s145)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9341, 9337])).
% 2.65/2.12 tff(9343,plain,
% 2.65/2.12 (~always3(s146)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[4310, 9321])).
% 2.65/2.12 tff(9344,plain,
% 2.65/2.12 (~always3(s145)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[4322, 9343])).
% 2.65/2.12 tff(9345,plain,
% 2.65/2.12 (~node4(s145)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[4929, 113, 9344])).
% 2.65/2.12 tff(9346,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.12 inference(rewrite,[status(thm)],[])).
% 2.65/2.12 tff(9347,plain,
% 2.65/2.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s145) | xuntil2p8(s145) | (~until2p7(s145)))),
% 2.65/2.12 inference(quant_inst,[status(thm)],[])).
% 2.65/2.12 tff(9348,plain,
% 2.65/2.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s145) | xuntil2p8(s145) | (~until2p7(s145))),
% 2.65/2.12 inference(modus_ponens,[status(thm)],[9347, 9346])).
% 2.65/2.12 tff(9349,plain,
% 2.65/2.12 (xuntil2p8(s145) | (~until2p7(s145))),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9348, 8293, 9345])).
% 2.65/2.12 tff(9350,plain,
% 2.65/2.12 (~until2p7(s145)),
% 2.65/2.12 inference(unit_resolution,[status(thm)],[9349, 9342])).
% 2.65/2.12 tff(9351,plain,
% 2.65/2.12 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9352,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s144, s145)) | until2p7(s145) | (~xuntil2p8(s144)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9353,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s144, s145)) | until2p7(s145) | (~xuntil2p8(s144))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9352, 9351])).
% 2.65/2.13 tff(9354,plain,
% 2.65/2.13 (until2p7(s145) | (~xuntil2p8(s144))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9353, 4326, 8308])).
% 2.65/2.13 tff(9355,plain,
% 2.65/2.13 (~xuntil2p8(s144)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9354, 9350])).
% 2.65/2.13 tff(9356,plain,
% 2.65/2.13 (~always3(s144)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[4334, 9344])).
% 2.65/2.13 tff(9357,plain,
% 2.65/2.13 (~node4(s144)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[4947, 113, 9356])).
% 2.65/2.13 tff(9358,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9359,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s144) | xuntil2p8(s144) | (~until2p7(s144)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9360,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s144) | xuntil2p8(s144) | (~until2p7(s144))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9359, 9358])).
% 2.65/2.13 tff(9361,plain,
% 2.65/2.13 (xuntil2p8(s144) | (~until2p7(s144))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9360, 8293, 9357])).
% 2.65/2.13 tff(9362,plain,
% 2.65/2.13 (~until2p7(s144)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9361, 9355])).
% 2.65/2.13 tff(9363,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9364,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s143, s144)) | until2p7(s144) | (~xuntil2p8(s143)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9365,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s143, s144)) | until2p7(s144) | (~xuntil2p8(s143))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9364, 9363])).
% 2.65/2.13 tff(9366,plain,
% 2.65/2.13 (until2p7(s144) | (~xuntil2p8(s143))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9365, 4960, 8308])).
% 2.65/2.13 tff(9367,plain,
% 2.65/2.13 (~xuntil2p8(s143)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9366, 9362])).
% 2.65/2.13 tff(9368,plain,
% 2.65/2.13 (~always3(s143)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[4968, 9356])).
% 2.65/2.13 tff(9369,plain,
% 2.65/2.13 (~node4(s143)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[4972, 113, 9368])).
% 2.65/2.13 tff(9370,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9371,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s143) | xuntil2p8(s143) | (~until2p7(s143)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9372,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s143) | xuntil2p8(s143) | (~until2p7(s143))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9371, 9370])).
% 2.65/2.13 tff(9373,plain,
% 2.65/2.13 (xuntil2p8(s143) | (~until2p7(s143))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9372, 8293, 9369])).
% 2.65/2.13 tff(9374,plain,
% 2.65/2.13 (~until2p7(s143)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9373, 9367])).
% 2.65/2.13 tff(9375,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9376,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s142, s143)) | until2p7(s143) | (~xuntil2p8(s142)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9377,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s142, s143)) | until2p7(s143) | (~xuntil2p8(s142))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9376, 9375])).
% 2.65/2.13 tff(9378,plain,
% 2.65/2.13 (until2p7(s143) | (~xuntil2p8(s142))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9377, 4992, 8308])).
% 2.65/2.13 tff(9379,plain,
% 2.65/2.13 (~xuntil2p8(s142)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9378, 9374])).
% 2.65/2.13 tff(9380,plain,
% 2.65/2.13 (~always3(s142)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5006, 9368])).
% 2.65/2.13 tff(9381,plain,
% 2.65/2.13 (~node4(s142)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5010, 113, 9380])).
% 2.65/2.13 tff(9382,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9383,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s142) | xuntil2p8(s142) | (~until2p7(s142)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9384,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s142) | xuntil2p8(s142) | (~until2p7(s142))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9383, 9382])).
% 2.65/2.13 tff(9385,plain,
% 2.65/2.13 (xuntil2p8(s142) | (~until2p7(s142))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9384, 8293, 9381])).
% 2.65/2.13 tff(9386,plain,
% 2.65/2.13 (~until2p7(s142)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9385, 9379])).
% 2.65/2.13 tff(9387,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9388,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s141, s142)) | until2p7(s142) | (~xuntil2p8(s141)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9389,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s141, s142)) | until2p7(s142) | (~xuntil2p8(s141))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9388, 9387])).
% 2.65/2.13 tff(9390,plain,
% 2.65/2.13 (until2p7(s142) | (~xuntil2p8(s141))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9389, 5022, 8308])).
% 2.65/2.13 tff(9391,plain,
% 2.65/2.13 (~xuntil2p8(s141)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9390, 9386])).
% 2.65/2.13 tff(9392,plain,
% 2.65/2.13 (~always3(s141)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5035, 9380])).
% 2.65/2.13 tff(9393,plain,
% 2.65/2.13 (~node4(s141)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5039, 113, 9392])).
% 2.65/2.13 tff(9394,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9395,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s141) | xuntil2p8(s141) | (~until2p7(s141)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9396,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s141) | xuntil2p8(s141) | (~until2p7(s141))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9395, 9394])).
% 2.65/2.13 tff(9397,plain,
% 2.65/2.13 (xuntil2p8(s141) | (~until2p7(s141))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9396, 8293, 9393])).
% 2.65/2.13 tff(9398,plain,
% 2.65/2.13 (~until2p7(s141)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9397, 9391])).
% 2.65/2.13 tff(9399,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9400,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s140, s141)) | until2p7(s141) | (~xuntil2p8(s140)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9401,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s140, s141)) | until2p7(s141) | (~xuntil2p8(s140))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9400, 9399])).
% 2.65/2.13 tff(9402,plain,
% 2.65/2.13 (until2p7(s141) | (~xuntil2p8(s140))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9401, 5051, 8308])).
% 2.65/2.13 tff(9403,plain,
% 2.65/2.13 (~xuntil2p8(s140)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9402, 9398])).
% 2.65/2.13 tff(9404,plain,
% 2.65/2.13 (~always3(s140)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5064, 9392])).
% 2.65/2.13 tff(9405,plain,
% 2.65/2.13 (~node4(s140)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5068, 113, 9404])).
% 2.65/2.13 tff(9406,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9407,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s140) | xuntil2p8(s140) | (~until2p7(s140)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9408,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s140) | xuntil2p8(s140) | (~until2p7(s140))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9407, 9406])).
% 2.65/2.13 tff(9409,plain,
% 2.65/2.13 (xuntil2p8(s140) | (~until2p7(s140))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9408, 8293, 9405])).
% 2.65/2.13 tff(9410,plain,
% 2.65/2.13 (~until2p7(s140)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9409, 9403])).
% 2.65/2.13 tff(9411,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9412,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s139, s140)) | until2p7(s140) | (~xuntil2p8(s139)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9413,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s139, s140)) | until2p7(s140) | (~xuntil2p8(s139))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9412, 9411])).
% 2.65/2.13 tff(9414,plain,
% 2.65/2.13 (until2p7(s140) | (~xuntil2p8(s139))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9413, 5080, 8308])).
% 2.65/2.13 tff(9415,plain,
% 2.65/2.13 (~xuntil2p8(s139)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9414, 9410])).
% 2.65/2.13 tff(9416,plain,
% 2.65/2.13 (~always3(s139)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5093, 9404])).
% 2.65/2.13 tff(9417,plain,
% 2.65/2.13 (~node4(s139)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5097, 113, 9416])).
% 2.65/2.13 tff(9418,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9419,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s139) | xuntil2p8(s139) | (~until2p7(s139)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9420,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s139) | xuntil2p8(s139) | (~until2p7(s139))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9419, 9418])).
% 2.65/2.13 tff(9421,plain,
% 2.65/2.13 (xuntil2p8(s139) | (~until2p7(s139))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9420, 8293, 9417])).
% 2.65/2.13 tff(9422,plain,
% 2.65/2.13 (~until2p7(s139)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9421, 9415])).
% 2.65/2.13 tff(9423,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9424,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s138, s139)) | until2p7(s139) | (~xuntil2p8(s138)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9425,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s138, s139)) | until2p7(s139) | (~xuntil2p8(s138))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9424, 9423])).
% 2.65/2.13 tff(9426,plain,
% 2.65/2.13 (until2p7(s139) | (~xuntil2p8(s138))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9425, 5109, 8308])).
% 2.65/2.13 tff(9427,plain,
% 2.65/2.13 (~xuntil2p8(s138)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9426, 9422])).
% 2.65/2.13 tff(9428,plain,
% 2.65/2.13 (~always3(s138)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5122, 9416])).
% 2.65/2.13 tff(9429,plain,
% 2.65/2.13 (~node4(s138)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5126, 113, 9428])).
% 2.65/2.13 tff(9430,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9431,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s138) | xuntil2p8(s138) | (~until2p7(s138)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9432,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s138) | xuntil2p8(s138) | (~until2p7(s138))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9431, 9430])).
% 2.65/2.13 tff(9433,plain,
% 2.65/2.13 (xuntil2p8(s138) | (~until2p7(s138))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9432, 8293, 9429])).
% 2.65/2.13 tff(9434,plain,
% 2.65/2.13 (~until2p7(s138)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9433, 9427])).
% 2.65/2.13 tff(9435,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9436,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s137, s138)) | until2p7(s138) | (~xuntil2p8(s137)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9437,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s137, s138)) | until2p7(s138) | (~xuntil2p8(s137))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9436, 9435])).
% 2.65/2.13 tff(9438,plain,
% 2.65/2.13 (until2p7(s138) | (~xuntil2p8(s137))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9437, 5138, 8308])).
% 2.65/2.13 tff(9439,plain,
% 2.65/2.13 (~xuntil2p8(s137)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9438, 9434])).
% 2.65/2.13 tff(9440,plain,
% 2.65/2.13 (~always3(s137)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5151, 9428])).
% 2.65/2.13 tff(9441,plain,
% 2.65/2.13 (~node4(s137)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5155, 113, 9440])).
% 2.65/2.13 tff(9442,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9443,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s137) | xuntil2p8(s137) | (~until2p7(s137)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9444,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s137) | xuntil2p8(s137) | (~until2p7(s137))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9443, 9442])).
% 2.65/2.13 tff(9445,plain,
% 2.65/2.13 (xuntil2p8(s137) | (~until2p7(s137))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9444, 8293, 9441])).
% 2.65/2.13 tff(9446,plain,
% 2.65/2.13 (~until2p7(s137)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9445, 9439])).
% 2.65/2.13 tff(9447,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9448,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s136, s137)) | until2p7(s137) | (~xuntil2p8(s136)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9449,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s136, s137)) | until2p7(s137) | (~xuntil2p8(s136))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9448, 9447])).
% 2.65/2.13 tff(9450,plain,
% 2.65/2.13 (until2p7(s137) | (~xuntil2p8(s136))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9449, 5167, 8308])).
% 2.65/2.13 tff(9451,plain,
% 2.65/2.13 (~xuntil2p8(s136)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9450, 9446])).
% 2.65/2.13 tff(9452,plain,
% 2.65/2.13 (~always3(s136)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5180, 9440])).
% 2.65/2.13 tff(9453,plain,
% 2.65/2.13 (~node4(s136)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5184, 113, 9452])).
% 2.65/2.13 tff(9454,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9455,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s136) | xuntil2p8(s136) | (~until2p7(s136)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9456,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s136) | xuntil2p8(s136) | (~until2p7(s136))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9455, 9454])).
% 2.65/2.13 tff(9457,plain,
% 2.65/2.13 (xuntil2p8(s136) | (~until2p7(s136))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9456, 8293, 9453])).
% 2.65/2.13 tff(9458,plain,
% 2.65/2.13 (~until2p7(s136)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9457, 9451])).
% 2.65/2.13 tff(9459,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9460,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s135, s136)) | until2p7(s136) | (~xuntil2p8(s135)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9461,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s135, s136)) | until2p7(s136) | (~xuntil2p8(s135))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9460, 9459])).
% 2.65/2.13 tff(9462,plain,
% 2.65/2.13 (until2p7(s136) | (~xuntil2p8(s135))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9461, 5196, 8308])).
% 2.65/2.13 tff(9463,plain,
% 2.65/2.13 (~xuntil2p8(s135)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9462, 9458])).
% 2.65/2.13 tff(9464,plain,
% 2.65/2.13 (~always3(s135)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5209, 9452])).
% 2.65/2.13 tff(9465,plain,
% 2.65/2.13 (~node4(s135)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5213, 113, 9464])).
% 2.65/2.13 tff(9466,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9467,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s135) | xuntil2p8(s135) | (~until2p7(s135)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9468,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s135) | xuntil2p8(s135) | (~until2p7(s135))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9467, 9466])).
% 2.65/2.13 tff(9469,plain,
% 2.65/2.13 (xuntil2p8(s135) | (~until2p7(s135))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9468, 8293, 9465])).
% 2.65/2.13 tff(9470,plain,
% 2.65/2.13 (~until2p7(s135)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9469, 9463])).
% 2.65/2.13 tff(9471,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9472,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s134, s135)) | until2p7(s135) | (~xuntil2p8(s134)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9473,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s134, s135)) | until2p7(s135) | (~xuntil2p8(s134))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9472, 9471])).
% 2.65/2.13 tff(9474,plain,
% 2.65/2.13 (until2p7(s135) | (~xuntil2p8(s134))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9473, 5225, 8308])).
% 2.65/2.13 tff(9475,plain,
% 2.65/2.13 (~xuntil2p8(s134)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9474, 9470])).
% 2.65/2.13 tff(9476,plain,
% 2.65/2.13 (~always3(s134)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5238, 9464])).
% 2.65/2.13 tff(9477,plain,
% 2.65/2.13 (~node4(s134)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5242, 113, 9476])).
% 2.65/2.13 tff(9478,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9479,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s134) | xuntil2p8(s134) | (~until2p7(s134)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9480,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s134) | xuntil2p8(s134) | (~until2p7(s134))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9479, 9478])).
% 2.65/2.13 tff(9481,plain,
% 2.65/2.13 (xuntil2p8(s134) | (~until2p7(s134))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9480, 8293, 9477])).
% 2.65/2.13 tff(9482,plain,
% 2.65/2.13 (~until2p7(s134)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9481, 9475])).
% 2.65/2.13 tff(9483,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9484,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s133, s134)) | until2p7(s134) | (~xuntil2p8(s133)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9485,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s133, s134)) | until2p7(s134) | (~xuntil2p8(s133))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9484, 9483])).
% 2.65/2.13 tff(9486,plain,
% 2.65/2.13 (until2p7(s134) | (~xuntil2p8(s133))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9485, 5254, 8308])).
% 2.65/2.13 tff(9487,plain,
% 2.65/2.13 (~xuntil2p8(s133)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9486, 9482])).
% 2.65/2.13 tff(9488,plain,
% 2.65/2.13 (~always3(s133)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5267, 9476])).
% 2.65/2.13 tff(9489,plain,
% 2.65/2.13 (~node4(s133)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5271, 113, 9488])).
% 2.65/2.13 tff(9490,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9491,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s133) | xuntil2p8(s133) | (~until2p7(s133)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9492,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s133) | xuntil2p8(s133) | (~until2p7(s133))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9491, 9490])).
% 2.65/2.13 tff(9493,plain,
% 2.65/2.13 (xuntil2p8(s133) | (~until2p7(s133))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9492, 8293, 9489])).
% 2.65/2.13 tff(9494,plain,
% 2.65/2.13 (~until2p7(s133)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9493, 9487])).
% 2.65/2.13 tff(9495,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9496,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s132, s133)) | until2p7(s133) | (~xuntil2p8(s132)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9497,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s132, s133)) | until2p7(s133) | (~xuntil2p8(s132))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9496, 9495])).
% 2.65/2.13 tff(9498,plain,
% 2.65/2.13 (until2p7(s133) | (~xuntil2p8(s132))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9497, 5283, 8308])).
% 2.65/2.13 tff(9499,plain,
% 2.65/2.13 (~xuntil2p8(s132)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9498, 9494])).
% 2.65/2.13 tff(9500,plain,
% 2.65/2.13 (~always3(s132)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5296, 9488])).
% 2.65/2.13 tff(9501,plain,
% 2.65/2.13 (~node4(s132)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5300, 113, 9500])).
% 2.65/2.13 tff(9502,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9503,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s132) | xuntil2p8(s132) | (~until2p7(s132)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9504,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s132) | xuntil2p8(s132) | (~until2p7(s132))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9503, 9502])).
% 2.65/2.13 tff(9505,plain,
% 2.65/2.13 (xuntil2p8(s132) | (~until2p7(s132))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9504, 8293, 9501])).
% 2.65/2.13 tff(9506,plain,
% 2.65/2.13 (~until2p7(s132)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9505, 9499])).
% 2.65/2.13 tff(9507,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9508,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s131, s132)) | until2p7(s132) | (~xuntil2p8(s131)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9509,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s131, s132)) | until2p7(s132) | (~xuntil2p8(s131))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9508, 9507])).
% 2.65/2.13 tff(9510,plain,
% 2.65/2.13 (until2p7(s132) | (~xuntil2p8(s131))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9509, 5312, 8308])).
% 2.65/2.13 tff(9511,plain,
% 2.65/2.13 (~xuntil2p8(s131)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9510, 9506])).
% 2.65/2.13 tff(9512,plain,
% 2.65/2.13 (~always3(s131)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5325, 9500])).
% 2.65/2.13 tff(9513,plain,
% 2.65/2.13 (~node4(s131)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5329, 113, 9512])).
% 2.65/2.13 tff(9514,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9515,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s131) | xuntil2p8(s131) | (~until2p7(s131)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9516,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s131) | xuntil2p8(s131) | (~until2p7(s131))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9515, 9514])).
% 2.65/2.13 tff(9517,plain,
% 2.65/2.13 (xuntil2p8(s131) | (~until2p7(s131))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9516, 8293, 9513])).
% 2.65/2.13 tff(9518,plain,
% 2.65/2.13 (~until2p7(s131)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9517, 9511])).
% 2.65/2.13 tff(9519,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9520,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s130, s131)) | until2p7(s131) | (~xuntil2p8(s130)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9521,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s130, s131)) | until2p7(s131) | (~xuntil2p8(s130))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9520, 9519])).
% 2.65/2.13 tff(9522,plain,
% 2.65/2.13 (until2p7(s131) | (~xuntil2p8(s130))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9521, 5341, 8308])).
% 2.65/2.13 tff(9523,plain,
% 2.65/2.13 (~xuntil2p8(s130)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9522, 9518])).
% 2.65/2.13 tff(9524,plain,
% 2.65/2.13 (~always3(s130)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5354, 9512])).
% 2.65/2.13 tff(9525,plain,
% 2.65/2.13 (~node4(s130)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5358, 113, 9524])).
% 2.65/2.13 tff(9526,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9527,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s130) | xuntil2p8(s130) | (~until2p7(s130)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9528,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s130) | xuntil2p8(s130) | (~until2p7(s130))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9527, 9526])).
% 2.65/2.13 tff(9529,plain,
% 2.65/2.13 (xuntil2p8(s130) | (~until2p7(s130))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9528, 8293, 9525])).
% 2.65/2.13 tff(9530,plain,
% 2.65/2.13 (~until2p7(s130)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9529, 9523])).
% 2.65/2.13 tff(9531,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9532,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s129, s130)) | until2p7(s130) | (~xuntil2p8(s129)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9533,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s129, s130)) | until2p7(s130) | (~xuntil2p8(s129))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9532, 9531])).
% 2.65/2.13 tff(9534,plain,
% 2.65/2.13 (until2p7(s130) | (~xuntil2p8(s129))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9533, 5370, 8308])).
% 2.65/2.13 tff(9535,plain,
% 2.65/2.13 (~xuntil2p8(s129)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9534, 9530])).
% 2.65/2.13 tff(9536,plain,
% 2.65/2.13 (~always3(s129)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5383, 9524])).
% 2.65/2.13 tff(9537,plain,
% 2.65/2.13 (~node4(s129)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5387, 113, 9536])).
% 2.65/2.13 tff(9538,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9539,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s129) | xuntil2p8(s129) | (~until2p7(s129)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9540,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s129) | xuntil2p8(s129) | (~until2p7(s129))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9539, 9538])).
% 2.65/2.13 tff(9541,plain,
% 2.65/2.13 (xuntil2p8(s129) | (~until2p7(s129))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9540, 8293, 9537])).
% 2.65/2.13 tff(9542,plain,
% 2.65/2.13 (~until2p7(s129)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9541, 9535])).
% 2.65/2.13 tff(9543,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9544,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s128, s129)) | until2p7(s129) | (~xuntil2p8(s128)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9545,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s128, s129)) | until2p7(s129) | (~xuntil2p8(s128))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9544, 9543])).
% 2.65/2.13 tff(9546,plain,
% 2.65/2.13 (until2p7(s129) | (~xuntil2p8(s128))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9545, 5399, 8308])).
% 2.65/2.13 tff(9547,plain,
% 2.65/2.13 (~xuntil2p8(s128)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9546, 9542])).
% 2.65/2.13 tff(9548,plain,
% 2.65/2.13 (~always3(s128)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5412, 9536])).
% 2.65/2.13 tff(9549,plain,
% 2.65/2.13 (~node4(s128)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5416, 113, 9548])).
% 2.65/2.13 tff(9550,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9551,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s128) | xuntil2p8(s128) | (~until2p7(s128)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9552,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s128) | xuntil2p8(s128) | (~until2p7(s128))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9551, 9550])).
% 2.65/2.13 tff(9553,plain,
% 2.65/2.13 (xuntil2p8(s128) | (~until2p7(s128))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9552, 8293, 9549])).
% 2.65/2.13 tff(9554,plain,
% 2.65/2.13 (~until2p7(s128)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9553, 9547])).
% 2.65/2.13 tff(9555,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9556,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s127, s128)) | until2p7(s128) | (~xuntil2p8(s127)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9557,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s127, s128)) | until2p7(s128) | (~xuntil2p8(s127))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9556, 9555])).
% 2.65/2.13 tff(9558,plain,
% 2.65/2.13 (until2p7(s128) | (~xuntil2p8(s127))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9557, 5428, 8308])).
% 2.65/2.13 tff(9559,plain,
% 2.65/2.13 (~xuntil2p8(s127)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9558, 9554])).
% 2.65/2.13 tff(9560,plain,
% 2.65/2.13 (~always3(s127)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5436, 9548])).
% 2.65/2.13 tff(9561,plain,
% 2.65/2.13 (~node4(s127)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[7983, 113, 9560])).
% 2.65/2.13 tff(9562,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9563,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s127) | xuntil2p8(s127) | (~until2p7(s127)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9564,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s127) | xuntil2p8(s127) | (~until2p7(s127))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9563, 9562])).
% 2.65/2.13 tff(9565,plain,
% 2.65/2.13 (xuntil2p8(s127) | (~until2p7(s127))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9564, 8293, 9561])).
% 2.65/2.13 tff(9566,plain,
% 2.65/2.13 (~until2p7(s127)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9565, 9559])).
% 2.65/2.13 tff(9567,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9568,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s126, s127)) | until2p7(s127) | (~xuntil2p8(s126)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9569,plain,
% 2.65/2.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s126, s127)) | until2p7(s127) | (~xuntil2p8(s126))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9568, 9567])).
% 2.65/2.13 tff(9570,plain,
% 2.65/2.13 (until2p7(s127) | (~xuntil2p8(s126))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9569, 5440, 8308])).
% 2.65/2.13 tff(9571,plain,
% 2.65/2.13 (~xuntil2p8(s126)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9570, 9566])).
% 2.65/2.13 tff(9572,plain,
% 2.65/2.13 (~always3(s126)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[5448, 9560])).
% 2.65/2.13 tff(9573,plain,
% 2.65/2.13 (~node4(s126)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[7966, 113, 9572])).
% 2.65/2.13 tff(9574,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.13 inference(rewrite,[status(thm)],[])).
% 2.65/2.13 tff(9575,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s126) | xuntil2p8(s126) | (~until2p7(s126)))),
% 2.65/2.13 inference(quant_inst,[status(thm)],[])).
% 2.65/2.13 tff(9576,plain,
% 2.65/2.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s126) | xuntil2p8(s126) | (~until2p7(s126))),
% 2.65/2.13 inference(modus_ponens,[status(thm)],[9575, 9574])).
% 2.65/2.13 tff(9577,plain,
% 2.65/2.13 (xuntil2p8(s126) | (~until2p7(s126))),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9576, 8293, 9573])).
% 2.65/2.13 tff(9578,plain,
% 2.65/2.13 (~until2p7(s126)),
% 2.65/2.13 inference(unit_resolution,[status(thm)],[9577, 9571])).
% 2.65/2.13 tff(9579,plain,
% 2.65/2.13 (((~![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)))),
% 2.65/2.14 inference(rewrite,[status(thm)],[])).
% 2.65/2.14 tff(9580,plain,
% 2.65/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s125, s126)) | until2p7(s126) | (~xuntil2p8(s125)))),
% 2.65/2.14 inference(quant_inst,[status(thm)],[])).
% 2.65/2.14 tff(9581,plain,
% 2.65/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s125, s126)) | until2p7(s126) | (~xuntil2p8(s125))),
% 2.65/2.14 inference(modus_ponens,[status(thm)],[9580, 9579])).
% 2.65/2.14 tff(9582,plain,
% 2.65/2.14 (until2p7(s126) | (~xuntil2p8(s125))),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[9581, 5452, 8308])).
% 2.65/2.14 tff(9583,plain,
% 2.65/2.14 (~xuntil2p8(s125)),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[9582, 9578])).
% 2.65/2.14 tff(9584,plain,
% 2.65/2.14 (~always3(s125)),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[5460, 9572])).
% 2.65/2.14 tff(9585,plain,
% 2.65/2.14 (~node4(s125)),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[7949, 113, 9584])).
% 2.65/2.14 tff(9586,plain,
% 2.65/2.14 (((~![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)))),
% 2.65/2.14 inference(rewrite,[status(thm)],[])).
% 2.65/2.14 tff(9587,plain,
% 2.65/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s125) | xuntil2p8(s125) | (~until2p7(s125)))),
% 2.65/2.14 inference(quant_inst,[status(thm)],[])).
% 2.65/2.14 tff(9588,plain,
% 2.65/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s125) | xuntil2p8(s125) | (~until2p7(s125))),
% 2.65/2.14 inference(modus_ponens,[status(thm)],[9587, 9586])).
% 2.65/2.14 tff(9589,plain,
% 2.65/2.14 (xuntil2p8(s125) | (~until2p7(s125))),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[9588, 8293, 9585])).
% 2.65/2.14 tff(9590,plain,
% 2.65/2.14 (~until2p7(s125)),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[9589, 9583])).
% 2.65/2.14 tff(9591,plain,
% 2.65/2.14 (((~![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)))),
% 2.65/2.14 inference(rewrite,[status(thm)],[])).
% 2.65/2.14 tff(9592,plain,
% 2.65/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s124, s125)) | until2p7(s125) | (~xuntil2p8(s124)))),
% 2.65/2.14 inference(quant_inst,[status(thm)],[])).
% 2.65/2.14 tff(9593,plain,
% 2.65/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s124, s125)) | until2p7(s125) | (~xuntil2p8(s124))),
% 2.65/2.14 inference(modus_ponens,[status(thm)],[9592, 9591])).
% 2.65/2.14 tff(9594,plain,
% 2.65/2.14 (until2p7(s125) | (~xuntil2p8(s124))),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[9593, 5464, 8308])).
% 2.65/2.14 tff(9595,plain,
% 2.65/2.14 (~xuntil2p8(s124)),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[9594, 9590])).
% 2.65/2.14 tff(9596,plain,
% 2.65/2.14 (~always3(s124)),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[5472, 9584])).
% 2.65/2.14 tff(9597,plain,
% 2.65/2.14 (~node4(s124)),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[7932, 113, 9596])).
% 2.65/2.14 tff(9598,plain,
% 2.65/2.14 (((~![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)))),
% 2.65/2.14 inference(rewrite,[status(thm)],[])).
% 2.65/2.14 tff(9599,plain,
% 2.65/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s124) | xuntil2p8(s124) | (~until2p7(s124)))),
% 2.65/2.14 inference(quant_inst,[status(thm)],[])).
% 2.65/2.14 tff(9600,plain,
% 2.65/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s124) | xuntil2p8(s124) | (~until2p7(s124))),
% 2.65/2.14 inference(modus_ponens,[status(thm)],[9599, 9598])).
% 2.65/2.14 tff(9601,plain,
% 2.65/2.14 (xuntil2p8(s124) | (~until2p7(s124))),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[9600, 8293, 9597])).
% 2.65/2.14 tff(9602,plain,
% 2.65/2.14 (~until2p7(s124)),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[9601, 9595])).
% 2.65/2.14 tff(9603,plain,
% 2.65/2.14 (((~![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)))),
% 2.65/2.14 inference(rewrite,[status(thm)],[])).
% 2.65/2.14 tff(9604,plain,
% 2.65/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s123, s124)) | until2p7(s124) | (~xuntil2p8(s123)))),
% 2.65/2.14 inference(quant_inst,[status(thm)],[])).
% 2.65/2.14 tff(9605,plain,
% 2.65/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s123, s124)) | until2p7(s124) | (~xuntil2p8(s123))),
% 2.65/2.14 inference(modus_ponens,[status(thm)],[9604, 9603])).
% 2.65/2.14 tff(9606,plain,
% 2.65/2.14 (until2p7(s124) | (~xuntil2p8(s123))),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[9605, 5476, 8308])).
% 2.65/2.14 tff(9607,plain,
% 2.65/2.14 (~xuntil2p8(s123)),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[9606, 9602])).
% 2.65/2.14 tff(9608,plain,
% 2.65/2.14 (~always3(s123)),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[5484, 9596])).
% 2.65/2.14 tff(9609,plain,
% 2.65/2.14 (~node4(s123)),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[7915, 113, 9608])).
% 2.65/2.14 tff(9610,plain,
% 2.65/2.14 (((~![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)))),
% 2.65/2.14 inference(rewrite,[status(thm)],[])).
% 2.65/2.14 tff(9611,plain,
% 2.65/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s123) | xuntil2p8(s123) | (~until2p7(s123)))),
% 2.65/2.14 inference(quant_inst,[status(thm)],[])).
% 2.65/2.14 tff(9612,plain,
% 2.65/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s123) | xuntil2p8(s123) | (~until2p7(s123))),
% 2.65/2.14 inference(modus_ponens,[status(thm)],[9611, 9610])).
% 2.65/2.14 tff(9613,plain,
% 2.65/2.14 (xuntil2p8(s123) | (~until2p7(s123))),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[9612, 8293, 9609])).
% 2.65/2.14 tff(9614,plain,
% 2.65/2.14 (~until2p7(s123)),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[9613, 9607])).
% 2.65/2.14 tff(9615,plain,
% 2.65/2.14 (((~![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)))),
% 2.65/2.14 inference(rewrite,[status(thm)],[])).
% 2.65/2.14 tff(9616,plain,
% 2.65/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s122, s123)) | until2p7(s123) | (~xuntil2p8(s122)))),
% 2.65/2.14 inference(quant_inst,[status(thm)],[])).
% 2.65/2.14 tff(9617,plain,
% 2.65/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s122, s123)) | until2p7(s123) | (~xuntil2p8(s122))),
% 2.65/2.14 inference(modus_ponens,[status(thm)],[9616, 9615])).
% 2.65/2.14 tff(9618,plain,
% 2.65/2.14 (until2p7(s123) | (~xuntil2p8(s122))),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[9617, 5488, 8308])).
% 2.65/2.14 tff(9619,plain,
% 2.65/2.14 (~xuntil2p8(s122)),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[9618, 9614])).
% 2.65/2.14 tff(9620,plain,
% 2.65/2.14 (~always3(s122)),
% 2.65/2.14 inference(unit_resolution,[status(thm)],[5496, 9608])).
% 2.66/2.14 tff(9621,plain,
% 2.66/2.14 (~node4(s122)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[7898, 113, 9620])).
% 2.66/2.14 tff(9622,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9623,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s122) | xuntil2p8(s122) | (~until2p7(s122)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9624,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s122) | xuntil2p8(s122) | (~until2p7(s122))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9623, 9622])).
% 2.66/2.14 tff(9625,plain,
% 2.66/2.14 (xuntil2p8(s122) | (~until2p7(s122))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9624, 8293, 9621])).
% 2.66/2.14 tff(9626,plain,
% 2.66/2.14 (~until2p7(s122)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9625, 9619])).
% 2.66/2.14 tff(9627,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9628,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s121, s122)) | until2p7(s122) | (~xuntil2p8(s121)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9629,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s121, s122)) | until2p7(s122) | (~xuntil2p8(s121))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9628, 9627])).
% 2.66/2.14 tff(9630,plain,
% 2.66/2.14 (until2p7(s122) | (~xuntil2p8(s121))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9629, 5500, 8308])).
% 2.66/2.14 tff(9631,plain,
% 2.66/2.14 (~xuntil2p8(s121)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9630, 9626])).
% 2.66/2.14 tff(9632,plain,
% 2.66/2.14 (~always3(s121)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[5508, 9620])).
% 2.66/2.14 tff(9633,plain,
% 2.66/2.14 (~node4(s121)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[7881, 113, 9632])).
% 2.66/2.14 tff(9634,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9635,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s121) | xuntil2p8(s121) | (~until2p7(s121)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9636,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s121) | xuntil2p8(s121) | (~until2p7(s121))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9635, 9634])).
% 2.66/2.14 tff(9637,plain,
% 2.66/2.14 (xuntil2p8(s121) | (~until2p7(s121))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9636, 8293, 9633])).
% 2.66/2.14 tff(9638,plain,
% 2.66/2.14 (~until2p7(s121)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9637, 9631])).
% 2.66/2.14 tff(9639,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9640,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s120, s121)) | until2p7(s121) | (~xuntil2p8(s120)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9641,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s120, s121)) | until2p7(s121) | (~xuntil2p8(s120))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9640, 9639])).
% 2.66/2.14 tff(9642,plain,
% 2.66/2.14 (until2p7(s121) | (~xuntil2p8(s120))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9641, 5512, 8308])).
% 2.66/2.14 tff(9643,plain,
% 2.66/2.14 (~xuntil2p8(s120)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9642, 9638])).
% 2.66/2.14 tff(9644,plain,
% 2.66/2.14 (~always3(s120)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[5520, 9632])).
% 2.66/2.14 tff(9645,plain,
% 2.66/2.14 (~node4(s120)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[7864, 113, 9644])).
% 2.66/2.14 tff(9646,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9647,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s120) | xuntil2p8(s120) | (~until2p7(s120)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9648,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s120) | xuntil2p8(s120) | (~until2p7(s120))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9647, 9646])).
% 2.66/2.14 tff(9649,plain,
% 2.66/2.14 (xuntil2p8(s120) | (~until2p7(s120))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9648, 8293, 9645])).
% 2.66/2.14 tff(9650,plain,
% 2.66/2.14 (~until2p7(s120)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9649, 9643])).
% 2.66/2.14 tff(9651,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9652,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s119, s120)) | until2p7(s120) | (~xuntil2p8(s119)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9653,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s119, s120)) | until2p7(s120) | (~xuntil2p8(s119))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9652, 9651])).
% 2.66/2.14 tff(9654,plain,
% 2.66/2.14 (until2p7(s120) | (~xuntil2p8(s119))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9653, 5524, 8308])).
% 2.66/2.14 tff(9655,plain,
% 2.66/2.14 (~xuntil2p8(s119)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9654, 9650])).
% 2.66/2.14 tff(9656,plain,
% 2.66/2.14 (~always3(s119)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[5532, 9644])).
% 2.66/2.14 tff(9657,plain,
% 2.66/2.14 (~node4(s119)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[7847, 113, 9656])).
% 2.66/2.14 tff(9658,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9659,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s119) | xuntil2p8(s119) | (~until2p7(s119)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9660,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s119) | xuntil2p8(s119) | (~until2p7(s119))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9659, 9658])).
% 2.66/2.14 tff(9661,plain,
% 2.66/2.14 (xuntil2p8(s119) | (~until2p7(s119))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9660, 8293, 9657])).
% 2.66/2.14 tff(9662,plain,
% 2.66/2.14 (~until2p7(s119)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9661, 9655])).
% 2.66/2.14 tff(9663,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9664,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s118, s119)) | until2p7(s119) | (~xuntil2p8(s118)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9665,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s118, s119)) | until2p7(s119) | (~xuntil2p8(s118))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9664, 9663])).
% 2.66/2.14 tff(9666,plain,
% 2.66/2.14 (until2p7(s119) | (~xuntil2p8(s118))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9665, 5536, 8308])).
% 2.66/2.14 tff(9667,plain,
% 2.66/2.14 (~xuntil2p8(s118)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9666, 9662])).
% 2.66/2.14 tff(9668,plain,
% 2.66/2.14 (~always3(s118)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[5544, 9656])).
% 2.66/2.14 tff(9669,plain,
% 2.66/2.14 (~node4(s118)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[7830, 113, 9668])).
% 2.66/2.14 tff(9670,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9671,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s118) | xuntil2p8(s118) | (~until2p7(s118)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9672,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s118) | xuntil2p8(s118) | (~until2p7(s118))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9671, 9670])).
% 2.66/2.14 tff(9673,plain,
% 2.66/2.14 (xuntil2p8(s118) | (~until2p7(s118))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9672, 8293, 9669])).
% 2.66/2.14 tff(9674,plain,
% 2.66/2.14 (~until2p7(s118)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9673, 9667])).
% 2.66/2.14 tff(9675,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9676,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s117, s118)) | until2p7(s118) | (~xuntil2p8(s117)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9677,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s117, s118)) | until2p7(s118) | (~xuntil2p8(s117))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9676, 9675])).
% 2.66/2.14 tff(9678,plain,
% 2.66/2.14 (until2p7(s118) | (~xuntil2p8(s117))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9677, 5548, 8308])).
% 2.66/2.14 tff(9679,plain,
% 2.66/2.14 (~xuntil2p8(s117)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9678, 9674])).
% 2.66/2.14 tff(9680,plain,
% 2.66/2.14 (~always3(s117)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[5556, 9668])).
% 2.66/2.14 tff(9681,plain,
% 2.66/2.14 (~node4(s117)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[7813, 113, 9680])).
% 2.66/2.14 tff(9682,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9683,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s117) | xuntil2p8(s117) | (~until2p7(s117)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9684,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s117) | xuntil2p8(s117) | (~until2p7(s117))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9683, 9682])).
% 2.66/2.14 tff(9685,plain,
% 2.66/2.14 (xuntil2p8(s117) | (~until2p7(s117))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9684, 8293, 9681])).
% 2.66/2.14 tff(9686,plain,
% 2.66/2.14 (~until2p7(s117)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9685, 9679])).
% 2.66/2.14 tff(9687,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9688,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s116, s117)) | until2p7(s117) | (~xuntil2p8(s116)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9689,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s116, s117)) | until2p7(s117) | (~xuntil2p8(s116))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9688, 9687])).
% 2.66/2.14 tff(9690,plain,
% 2.66/2.14 (until2p7(s117) | (~xuntil2p8(s116))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9689, 5560, 8308])).
% 2.66/2.14 tff(9691,plain,
% 2.66/2.14 (~xuntil2p8(s116)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9690, 9686])).
% 2.66/2.14 tff(9692,plain,
% 2.66/2.14 (~always3(s116)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[5568, 9680])).
% 2.66/2.14 tff(9693,plain,
% 2.66/2.14 (~node4(s116)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[7796, 113, 9692])).
% 2.66/2.14 tff(9694,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9695,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s116) | xuntil2p8(s116) | (~until2p7(s116)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9696,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s116) | xuntil2p8(s116) | (~until2p7(s116))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9695, 9694])).
% 2.66/2.14 tff(9697,plain,
% 2.66/2.14 (xuntil2p8(s116) | (~until2p7(s116))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9696, 8293, 9693])).
% 2.66/2.14 tff(9698,plain,
% 2.66/2.14 (~until2p7(s116)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9697, 9691])).
% 2.66/2.14 tff(9699,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9700,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s115, s116)) | until2p7(s116) | (~xuntil2p8(s115)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9701,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s115, s116)) | until2p7(s116) | (~xuntil2p8(s115))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9700, 9699])).
% 2.66/2.14 tff(9702,plain,
% 2.66/2.14 (until2p7(s116) | (~xuntil2p8(s115))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9701, 5572, 8308])).
% 2.66/2.14 tff(9703,plain,
% 2.66/2.14 (~xuntil2p8(s115)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9702, 9698])).
% 2.66/2.14 tff(9704,plain,
% 2.66/2.14 (~always3(s115)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[5580, 9692])).
% 2.66/2.14 tff(9705,plain,
% 2.66/2.14 (~node4(s115)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[7779, 113, 9704])).
% 2.66/2.14 tff(9706,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9707,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s115) | xuntil2p8(s115) | (~until2p7(s115)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9708,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s115) | xuntil2p8(s115) | (~until2p7(s115))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9707, 9706])).
% 2.66/2.14 tff(9709,plain,
% 2.66/2.14 (xuntil2p8(s115) | (~until2p7(s115))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9708, 8293, 9705])).
% 2.66/2.14 tff(9710,plain,
% 2.66/2.14 (~until2p7(s115)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9709, 9703])).
% 2.66/2.14 tff(9711,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9712,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s114, s115)) | until2p7(s115) | (~xuntil2p8(s114)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9713,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s114, s115)) | until2p7(s115) | (~xuntil2p8(s114))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9712, 9711])).
% 2.66/2.14 tff(9714,plain,
% 2.66/2.14 (until2p7(s115) | (~xuntil2p8(s114))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9713, 5584, 8308])).
% 2.66/2.14 tff(9715,plain,
% 2.66/2.14 (~xuntil2p8(s114)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9714, 9710])).
% 2.66/2.14 tff(9716,plain,
% 2.66/2.14 (~always3(s114)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[5592, 9704])).
% 2.66/2.14 tff(9717,plain,
% 2.66/2.14 (~node4(s114)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[7762, 113, 9716])).
% 2.66/2.14 tff(9718,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9719,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s114) | xuntil2p8(s114) | (~until2p7(s114)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9720,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s114) | xuntil2p8(s114) | (~until2p7(s114))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9719, 9718])).
% 2.66/2.14 tff(9721,plain,
% 2.66/2.14 (xuntil2p8(s114) | (~until2p7(s114))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9720, 8293, 9717])).
% 2.66/2.14 tff(9722,plain,
% 2.66/2.14 (~until2p7(s114)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9721, 9715])).
% 2.66/2.14 tff(9723,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9724,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s113, s114)) | until2p7(s114) | (~xuntil2p8(s113)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9725,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s113, s114)) | until2p7(s114) | (~xuntil2p8(s113))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9724, 9723])).
% 2.66/2.14 tff(9726,plain,
% 2.66/2.14 (until2p7(s114) | (~xuntil2p8(s113))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9725, 5596, 8308])).
% 2.66/2.14 tff(9727,plain,
% 2.66/2.14 (~xuntil2p8(s113)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9726, 9722])).
% 2.66/2.14 tff(9728,plain,
% 2.66/2.14 (~always3(s113)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[5604, 9716])).
% 2.66/2.14 tff(9729,plain,
% 2.66/2.14 (~node4(s113)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[7745, 113, 9728])).
% 2.66/2.14 tff(9730,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9731,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s113) | xuntil2p8(s113) | (~until2p7(s113)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9732,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s113) | xuntil2p8(s113) | (~until2p7(s113))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9731, 9730])).
% 2.66/2.14 tff(9733,plain,
% 2.66/2.14 (xuntil2p8(s113) | (~until2p7(s113))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9732, 8293, 9729])).
% 2.66/2.14 tff(9734,plain,
% 2.66/2.14 (~until2p7(s113)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9733, 9727])).
% 2.66/2.14 tff(9735,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9736,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s112, s113)) | until2p7(s113) | (~xuntil2p8(s112)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9737,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s112, s113)) | until2p7(s113) | (~xuntil2p8(s112))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9736, 9735])).
% 2.66/2.14 tff(9738,plain,
% 2.66/2.14 (until2p7(s113) | (~xuntil2p8(s112))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9737, 5608, 8308])).
% 2.66/2.14 tff(9739,plain,
% 2.66/2.14 (~xuntil2p8(s112)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9738, 9734])).
% 2.66/2.14 tff(9740,plain,
% 2.66/2.14 (~always3(s112)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[5616, 9728])).
% 2.66/2.14 tff(9741,plain,
% 2.66/2.14 (~node4(s112)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[7728, 113, 9740])).
% 2.66/2.14 tff(9742,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9743,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s112) | xuntil2p8(s112) | (~until2p7(s112)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9744,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s112) | xuntil2p8(s112) | (~until2p7(s112))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9743, 9742])).
% 2.66/2.14 tff(9745,plain,
% 2.66/2.14 (xuntil2p8(s112) | (~until2p7(s112))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9744, 8293, 9741])).
% 2.66/2.14 tff(9746,plain,
% 2.66/2.14 (~until2p7(s112)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9745, 9739])).
% 2.66/2.14 tff(9747,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9748,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s111, s112)) | until2p7(s112) | (~xuntil2p8(s111)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9749,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s111, s112)) | until2p7(s112) | (~xuntil2p8(s111))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9748, 9747])).
% 2.66/2.14 tff(9750,plain,
% 2.66/2.14 (until2p7(s112) | (~xuntil2p8(s111))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9749, 5620, 8308])).
% 2.66/2.14 tff(9751,plain,
% 2.66/2.14 (~xuntil2p8(s111)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9750, 9746])).
% 2.66/2.14 tff(9752,plain,
% 2.66/2.14 (~always3(s111)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[5628, 9740])).
% 2.66/2.14 tff(9753,plain,
% 2.66/2.14 (~node4(s111)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[7711, 113, 9752])).
% 2.66/2.14 tff(9754,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9755,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s111) | xuntil2p8(s111) | (~until2p7(s111)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9756,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s111) | xuntil2p8(s111) | (~until2p7(s111))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9755, 9754])).
% 2.66/2.14 tff(9757,plain,
% 2.66/2.14 (xuntil2p8(s111) | (~until2p7(s111))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9756, 8293, 9753])).
% 2.66/2.14 tff(9758,plain,
% 2.66/2.14 (~until2p7(s111)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9757, 9751])).
% 2.66/2.14 tff(9759,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9760,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s110, s111)) | until2p7(s111) | (~xuntil2p8(s110)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9761,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s110, s111)) | until2p7(s111) | (~xuntil2p8(s110))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9760, 9759])).
% 2.66/2.14 tff(9762,plain,
% 2.66/2.14 (until2p7(s111) | (~xuntil2p8(s110))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9761, 5632, 8308])).
% 2.66/2.14 tff(9763,plain,
% 2.66/2.14 (~xuntil2p8(s110)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9762, 9758])).
% 2.66/2.14 tff(9764,plain,
% 2.66/2.14 (~always3(s110)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[5640, 9752])).
% 2.66/2.14 tff(9765,plain,
% 2.66/2.14 (~node4(s110)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[7694, 113, 9764])).
% 2.66/2.14 tff(9766,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9767,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s110) | xuntil2p8(s110) | (~until2p7(s110)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9768,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s110) | xuntil2p8(s110) | (~until2p7(s110))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9767, 9766])).
% 2.66/2.14 tff(9769,plain,
% 2.66/2.14 (xuntil2p8(s110) | (~until2p7(s110))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9768, 8293, 9765])).
% 2.66/2.14 tff(9770,plain,
% 2.66/2.14 (~until2p7(s110)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9769, 9763])).
% 2.66/2.14 tff(9771,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9772,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s109, s110)) | until2p7(s110) | (~xuntil2p8(s109)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9773,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s109, s110)) | until2p7(s110) | (~xuntil2p8(s109))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9772, 9771])).
% 2.66/2.14 tff(9774,plain,
% 2.66/2.14 (until2p7(s110) | (~xuntil2p8(s109))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9773, 5644, 8308])).
% 2.66/2.14 tff(9775,plain,
% 2.66/2.14 (~xuntil2p8(s109)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9774, 9770])).
% 2.66/2.14 tff(9776,plain,
% 2.66/2.14 (~always3(s109)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[5652, 9764])).
% 2.66/2.14 tff(9777,plain,
% 2.66/2.14 (~node4(s109)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[7677, 113, 9776])).
% 2.66/2.14 tff(9778,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9779,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s109) | xuntil2p8(s109) | (~until2p7(s109)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9780,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s109) | xuntil2p8(s109) | (~until2p7(s109))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9779, 9778])).
% 2.66/2.14 tff(9781,plain,
% 2.66/2.14 (xuntil2p8(s109) | (~until2p7(s109))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9780, 8293, 9777])).
% 2.66/2.14 tff(9782,plain,
% 2.66/2.14 (~until2p7(s109)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9781, 9775])).
% 2.66/2.14 tff(9783,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9784,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s108, s109)) | until2p7(s109) | (~xuntil2p8(s108)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9785,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s108, s109)) | until2p7(s109) | (~xuntil2p8(s108))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9784, 9783])).
% 2.66/2.14 tff(9786,plain,
% 2.66/2.14 (until2p7(s109) | (~xuntil2p8(s108))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9785, 5656, 8308])).
% 2.66/2.14 tff(9787,plain,
% 2.66/2.14 (~xuntil2p8(s108)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9786, 9782])).
% 2.66/2.14 tff(9788,plain,
% 2.66/2.14 (~always3(s108)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[5664, 9776])).
% 2.66/2.14 tff(9789,plain,
% 2.66/2.14 (~node4(s108)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[7660, 113, 9788])).
% 2.66/2.14 tff(9790,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9791,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s108) | xuntil2p8(s108) | (~until2p7(s108)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9792,plain,
% 2.66/2.14 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s108) | xuntil2p8(s108) | (~until2p7(s108))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9791, 9790])).
% 2.66/2.14 tff(9793,plain,
% 2.66/2.14 (xuntil2p8(s108) | (~until2p7(s108))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9792, 8293, 9789])).
% 2.66/2.14 tff(9794,plain,
% 2.66/2.14 (~until2p7(s108)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9793, 9787])).
% 2.66/2.14 tff(9795,plain,
% 2.66/2.14 (((~![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)))),
% 2.66/2.14 inference(rewrite,[status(thm)],[])).
% 2.66/2.14 tff(9796,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s107, s108)) | until2p7(s108) | (~xuntil2p8(s107)))),
% 2.66/2.14 inference(quant_inst,[status(thm)],[])).
% 2.66/2.14 tff(9797,plain,
% 2.66/2.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s107, s108)) | until2p7(s108) | (~xuntil2p8(s107))),
% 2.66/2.14 inference(modus_ponens,[status(thm)],[9796, 9795])).
% 2.66/2.14 tff(9798,plain,
% 2.66/2.14 (until2p7(s108) | (~xuntil2p8(s107))),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9797, 5668, 8308])).
% 2.66/2.14 tff(9799,plain,
% 2.66/2.14 (~xuntil2p8(s107)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[9798, 9794])).
% 2.66/2.14 tff(9800,plain,
% 2.66/2.14 (~always3(s107)),
% 2.66/2.14 inference(unit_resolution,[status(thm)],[5676, 9788])).
% 2.66/2.15 tff(9801,plain,
% 2.66/2.15 (~node4(s107)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[7643, 113, 9800])).
% 2.66/2.15 tff(9802,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9803,plain,
% 2.66/2.15 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s107) | xuntil2p8(s107) | (~until2p7(s107)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9804,plain,
% 2.66/2.15 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s107) | xuntil2p8(s107) | (~until2p7(s107))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9803, 9802])).
% 2.66/2.15 tff(9805,plain,
% 2.66/2.15 (xuntil2p8(s107) | (~until2p7(s107))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9804, 8293, 9801])).
% 2.66/2.15 tff(9806,plain,
% 2.66/2.15 (~until2p7(s107)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9805, 9799])).
% 2.66/2.15 tff(9807,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9808,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s106, s107)) | until2p7(s107) | (~xuntil2p8(s106)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9809,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s106, s107)) | until2p7(s107) | (~xuntil2p8(s106))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9808, 9807])).
% 2.66/2.15 tff(9810,plain,
% 2.66/2.15 (until2p7(s107) | (~xuntil2p8(s106))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9809, 5680, 8308])).
% 2.66/2.15 tff(9811,plain,
% 2.66/2.15 (~xuntil2p8(s106)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9810, 9806])).
% 2.66/2.15 tff(9812,plain,
% 2.66/2.15 (~always3(s106)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[5688, 9800])).
% 2.66/2.15 tff(9813,plain,
% 2.66/2.15 (~node4(s106)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[7626, 113, 9812])).
% 2.66/2.15 tff(9814,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9815,plain,
% 2.66/2.15 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s106) | xuntil2p8(s106) | (~until2p7(s106)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9816,plain,
% 2.66/2.15 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s106) | xuntil2p8(s106) | (~until2p7(s106))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9815, 9814])).
% 2.66/2.15 tff(9817,plain,
% 2.66/2.15 (xuntil2p8(s106) | (~until2p7(s106))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9816, 8293, 9813])).
% 2.66/2.15 tff(9818,plain,
% 2.66/2.15 (~until2p7(s106)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9817, 9811])).
% 2.66/2.15 tff(9819,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9820,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s105, s106)) | until2p7(s106) | (~xuntil2p8(s105)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9821,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s105, s106)) | until2p7(s106) | (~xuntil2p8(s105))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9820, 9819])).
% 2.66/2.15 tff(9822,plain,
% 2.66/2.15 (until2p7(s106) | (~xuntil2p8(s105))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9821, 5692, 8308])).
% 2.66/2.15 tff(9823,plain,
% 2.66/2.15 (~xuntil2p8(s105)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9822, 9818])).
% 2.66/2.15 tff(9824,plain,
% 2.66/2.15 (~always3(s105)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[5700, 9812])).
% 2.66/2.15 tff(9825,plain,
% 2.66/2.15 (~node4(s105)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[7609, 113, 9824])).
% 2.66/2.15 tff(9826,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9827,plain,
% 2.66/2.15 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s105) | xuntil2p8(s105) | (~until2p7(s105)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9828,plain,
% 2.66/2.15 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s105) | xuntil2p8(s105) | (~until2p7(s105))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9827, 9826])).
% 2.66/2.15 tff(9829,plain,
% 2.66/2.15 (xuntil2p8(s105) | (~until2p7(s105))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9828, 8293, 9825])).
% 2.66/2.15 tff(9830,plain,
% 2.66/2.15 (~until2p7(s105)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9829, 9823])).
% 2.66/2.15 tff(9831,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9832,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s104, s105)) | until2p7(s105) | (~xuntil2p8(s104)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9833,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s104, s105)) | until2p7(s105) | (~xuntil2p8(s104))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9832, 9831])).
% 2.66/2.15 tff(9834,plain,
% 2.66/2.15 (until2p7(s105) | (~xuntil2p8(s104))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9833, 5704, 8308])).
% 2.66/2.15 tff(9835,plain,
% 2.66/2.15 (~xuntil2p8(s104)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9834, 9830])).
% 2.66/2.15 tff(9836,plain,
% 2.66/2.15 (~always3(s104)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[5712, 9824])).
% 2.66/2.15 tff(9837,plain,
% 2.66/2.15 (~node4(s104)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[5716, 113, 9836])).
% 2.66/2.15 tff(9838,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9839,plain,
% 2.66/2.15 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s104) | xuntil2p8(s104) | (~until2p7(s104)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9840,plain,
% 2.66/2.15 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s104) | xuntil2p8(s104) | (~until2p7(s104))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9839, 9838])).
% 2.66/2.15 tff(9841,plain,
% 2.66/2.15 (xuntil2p8(s104) | (~until2p7(s104))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9840, 8293, 9837])).
% 2.66/2.15 tff(9842,plain,
% 2.66/2.15 (~until2p7(s104)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9841, 9835])).
% 2.66/2.15 tff(9843,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9844,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s103, s104)) | until2p7(s104) | (~xuntil2p8(s103)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9845,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s103, s104)) | until2p7(s104) | (~xuntil2p8(s103))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9844, 9843])).
% 2.66/2.15 tff(9846,plain,
% 2.66/2.15 (until2p7(s104) | (~xuntil2p8(s103))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9845, 5720, 8308])).
% 2.66/2.15 tff(9847,plain,
% 2.66/2.15 (~xuntil2p8(s103)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9846, 9842])).
% 2.66/2.15 tff(9848,plain,
% 2.66/2.15 (~always3(s103)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[5728, 9836])).
% 2.66/2.15 tff(9849,plain,
% 2.66/2.15 (~node4(s103)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[6483, 113, 9848])).
% 2.66/2.15 tff(9850,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9851,plain,
% 2.66/2.15 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s103) | xuntil2p8(s103) | (~until2p7(s103)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9852,plain,
% 2.66/2.15 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s103) | xuntil2p8(s103) | (~until2p7(s103))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9851, 9850])).
% 2.66/2.15 tff(9853,plain,
% 2.66/2.15 (xuntil2p8(s103) | (~until2p7(s103))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9852, 8293, 9849])).
% 2.66/2.15 tff(9854,plain,
% 2.66/2.15 (~until2p7(s103)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9853, 9847])).
% 2.66/2.15 tff(9855,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9856,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s102, s103)) | until2p7(s103) | (~xuntil2p8(s102)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9857,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s102, s103)) | until2p7(s103) | (~xuntil2p8(s102))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9856, 9855])).
% 2.66/2.15 tff(9858,plain,
% 2.66/2.15 (until2p7(s103) | (~xuntil2p8(s102))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9857, 5732, 8308])).
% 2.66/2.15 tff(9859,plain,
% 2.66/2.15 (~xuntil2p8(s102)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9858, 9854])).
% 2.66/2.15 tff(9860,assumption,(node4(s102)), introduced(assumption)).
% 2.66/2.15 tff(9861,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9862,plain,
% 2.66/2.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s102) | (~node4(s102)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9863,plain,
% 2.66/2.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s102) | (~node4(s102))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9862, 9861])).
% 2.66/2.15 tff(9864,plain,
% 2.66/2.15 (m_main_v_request(s102)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9863, 63, 9860])).
% 2.66/2.15 tff(9865,plain,
% 2.66/2.15 (always3(s102)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[6479, 113, 9860])).
% 2.66/2.15 tff(9866,plain,
% 2.66/2.15 (always3(s103)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[5740, 9865])).
% 2.66/2.15 tff(9867,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9868,plain,
% 2.66/2.15 (((~m_main_v_state(s103, c_busy)) | (~always3(s103))) <=> ((~always3(s103)) | (~m_main_v_state(s103, c_busy)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9869,plain,
% 2.66/2.15 (((~![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))))),
% 2.66/2.15 inference(monotonicity,[status(thm)],[9868])).
% 2.66/2.15 tff(9870,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(transitivity,[status(thm)],[9869, 9867])).
% 2.66/2.15 tff(9871,plain,
% 2.66/2.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s103, c_busy)) | (~always3(s103)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9872,plain,
% 2.66/2.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s103)) | (~m_main_v_state(s103, c_busy))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9871, 9870])).
% 2.66/2.15 tff(9873,plain,
% 2.66/2.15 (~m_main_v_state(s103, c_busy)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9872, 145, 9866])).
% 2.66/2.15 tff(9874,plain,
% 2.66/2.15 (((~![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))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9875,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s102, s103)) | node2(s102, s103))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9876,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s102, s103)) | node2(s102, s103)),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9875, 9874])).
% 2.66/2.15 tff(9877,plain,
% 2.66/2.15 (node2(s102, s103)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9876, 7, 5736])).
% 2.66/2.15 tff(9878,plain,
% 2.66/2.15 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9879,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s102, c_ready)) | (~node2(s102, s103)) | m_main_v_state(s103, c_busy) | (~m_main_v_request(s102)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9880,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s102, c_ready)) | (~node2(s102, s103)) | m_main_v_state(s103, c_busy) | (~m_main_v_request(s102))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9879, 9878])).
% 2.66/2.15 tff(9881,plain,
% 2.66/2.15 ((~m_main_v_state(s102, c_ready)) | m_main_v_state(s103, c_busy) | (~m_main_v_request(s102))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9880, 166, 9877])).
% 2.66/2.15 tff(9882,plain,
% 2.66/2.15 (~m_main_v_state(s102, c_ready)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9881, 9873, 9864])).
% 2.66/2.15 tff(9883,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9884,plain,
% 2.66/2.15 (((~m_main_v_state(s102, c_busy)) | (~always3(s102))) <=> ((~always3(s102)) | (~m_main_v_state(s102, c_busy)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9885,plain,
% 2.66/2.15 (((~![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))))),
% 2.66/2.15 inference(monotonicity,[status(thm)],[9884])).
% 2.66/2.15 tff(9886,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(transitivity,[status(thm)],[9885, 9883])).
% 2.66/2.15 tff(9887,plain,
% 2.66/2.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s102, c_busy)) | (~always3(s102)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9888,plain,
% 2.66/2.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s102)) | (~m_main_v_state(s102, c_busy))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9887, 9886])).
% 2.66/2.15 tff(9889,plain,
% 2.66/2.15 (~m_main_v_state(s102, c_busy)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9888, 145, 9865])).
% 2.66/2.15 tff(9890,plain,
% 2.66/2.15 (((~![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))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9891,plain,
% 2.66/2.15 ((~![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))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9892,plain,
% 2.66/2.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s102, c_busy) | m_main_v_state(s102, c_ready)),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9891, 9890])).
% 2.66/2.15 tff(9893,plain,
% 2.66/2.15 ($false),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9892, 188, 9889, 9882])).
% 2.66/2.15 tff(9894,plain,(~node4(s102)), inference(lemma,lemma(discharge,[]))).
% 2.66/2.15 tff(9895,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9896,plain,
% 2.66/2.15 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s102) | xuntil2p8(s102) | (~until2p7(s102)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9897,plain,
% 2.66/2.15 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s102) | xuntil2p8(s102) | (~until2p7(s102))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9896, 9895])).
% 2.66/2.15 tff(9898,plain,
% 2.66/2.15 (xuntil2p8(s102) | (~until2p7(s102))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9897, 8293, 9894])).
% 2.66/2.15 tff(9899,plain,
% 2.66/2.15 (~until2p7(s102)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9898, 9859])).
% 2.66/2.15 tff(9900,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9901,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s101, s102)) | until2p7(s102) | (~xuntil2p8(s101)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9902,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s101, s102)) | until2p7(s102) | (~xuntil2p8(s101))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9901, 9900])).
% 2.66/2.15 tff(9903,plain,
% 2.66/2.15 (until2p7(s102) | (~xuntil2p8(s101))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9902, 5744, 8308])).
% 2.66/2.15 tff(9904,plain,
% 2.66/2.15 (~xuntil2p8(s101)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9903, 9899])).
% 2.66/2.15 tff(9905,plain,
% 2.66/2.15 (~always3(s102)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[5740, 9848])).
% 2.66/2.15 tff(9906,plain,
% 2.66/2.15 (~always3(s101)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[5752, 9905])).
% 2.66/2.15 tff(9907,plain,
% 2.66/2.15 (~node4(s101)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[6514, 113, 9906])).
% 2.66/2.15 tff(9908,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9909,plain,
% 2.66/2.15 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s101) | xuntil2p8(s101) | (~until2p7(s101)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9910,plain,
% 2.66/2.15 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s101) | xuntil2p8(s101) | (~until2p7(s101))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9909, 9908])).
% 2.66/2.15 tff(9911,plain,
% 2.66/2.15 (xuntil2p8(s101) | (~until2p7(s101))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9910, 8293, 9907])).
% 2.66/2.15 tff(9912,plain,
% 2.66/2.15 (~until2p7(s101)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9911, 9904])).
% 2.66/2.15 tff(9913,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9914,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s100, s101)) | until2p7(s101) | (~xuntil2p8(s100)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9915,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s100, s101)) | until2p7(s101) | (~xuntil2p8(s100))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9914, 9913])).
% 2.66/2.15 tff(9916,plain,
% 2.66/2.15 (until2p7(s101) | (~xuntil2p8(s100))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9915, 5756, 8308])).
% 2.66/2.15 tff(9917,plain,
% 2.66/2.15 (~xuntil2p8(s100)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9916, 9912])).
% 2.66/2.15 tff(9918,plain,
% 2.66/2.15 (~always3(s100)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[5764, 9906])).
% 2.66/2.15 tff(9919,plain,
% 2.66/2.15 (~node4(s100)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[6532, 113, 9918])).
% 2.66/2.15 tff(9920,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9921,plain,
% 2.66/2.15 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s100) | xuntil2p8(s100) | (~until2p7(s100)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9922,plain,
% 2.66/2.15 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s100) | xuntil2p8(s100) | (~until2p7(s100))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9921, 9920])).
% 2.66/2.15 tff(9923,plain,
% 2.66/2.15 (xuntil2p8(s100) | (~until2p7(s100))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9922, 8293, 9919])).
% 2.66/2.15 tff(9924,plain,
% 2.66/2.15 (~until2p7(s100)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9923, 9917])).
% 2.66/2.15 tff(9925,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9926,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s99, s100)) | until2p7(s100) | (~xuntil2p8(s99)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9927,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s99, s100)) | until2p7(s100) | (~xuntil2p8(s99))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9926, 9925])).
% 2.66/2.15 tff(9928,plain,
% 2.66/2.15 (until2p7(s100) | (~xuntil2p8(s99))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9927, 5768, 8308])).
% 2.66/2.15 tff(9929,plain,
% 2.66/2.15 (~xuntil2p8(s99)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9928, 9924])).
% 2.66/2.15 tff(9930,assumption,(node4(s99)), introduced(assumption)).
% 2.66/2.15 tff(9931,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9932,plain,
% 2.66/2.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s99) | (~node4(s99)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9933,plain,
% 2.66/2.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s99) | (~node4(s99))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9932, 9931])).
% 2.66/2.15 tff(9934,plain,
% 2.66/2.15 (m_main_v_request(s99)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9933, 63, 9930])).
% 2.66/2.15 tff(9935,plain,
% 2.66/2.15 (always3(s99)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[6550, 113, 9930])).
% 2.66/2.15 tff(9936,plain,
% 2.66/2.15 (always3(s100)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[5776, 9935])).
% 2.66/2.15 tff(9937,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9938,plain,
% 2.66/2.15 (((~m_main_v_state(s100, c_busy)) | (~always3(s100))) <=> ((~always3(s100)) | (~m_main_v_state(s100, c_busy)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9939,plain,
% 2.66/2.15 (((~![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))))),
% 2.66/2.15 inference(monotonicity,[status(thm)],[9938])).
% 2.66/2.15 tff(9940,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(transitivity,[status(thm)],[9939, 9937])).
% 2.66/2.15 tff(9941,plain,
% 2.66/2.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s100, c_busy)) | (~always3(s100)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9942,plain,
% 2.66/2.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s100)) | (~m_main_v_state(s100, c_busy))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9941, 9940])).
% 2.66/2.15 tff(9943,plain,
% 2.66/2.15 (~m_main_v_state(s100, c_busy)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9942, 145, 9936])).
% 2.66/2.15 tff(9944,plain,
% 2.66/2.15 (((~![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))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9945,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s100)) | node2(s99, s100))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9946,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s100)) | node2(s99, s100)),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9945, 9944])).
% 2.66/2.15 tff(9947,plain,
% 2.66/2.15 (node2(s99, s100)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9946, 7, 5772])).
% 2.66/2.15 tff(9948,plain,
% 2.66/2.15 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, 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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9949,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s100)) | m_main_v_state(s100, c_busy) | (~m_main_v_request(s99)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9950,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s99, c_ready)) | (~node2(s99, s100)) | m_main_v_state(s100, c_busy) | (~m_main_v_request(s99))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9949, 9948])).
% 2.66/2.15 tff(9951,plain,
% 2.66/2.15 ((~m_main_v_state(s99, c_ready)) | m_main_v_state(s100, c_busy) | (~m_main_v_request(s99))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9950, 166, 9947])).
% 2.66/2.15 tff(9952,plain,
% 2.66/2.15 (~m_main_v_state(s99, c_ready)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9951, 9943, 9934])).
% 2.66/2.15 tff(9953,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9954,plain,
% 2.66/2.15 (((~m_main_v_state(s99, c_busy)) | (~always3(s99))) <=> ((~always3(s99)) | (~m_main_v_state(s99, c_busy)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9955,plain,
% 2.66/2.15 (((~![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))))),
% 2.66/2.15 inference(monotonicity,[status(thm)],[9954])).
% 2.66/2.15 tff(9956,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(transitivity,[status(thm)],[9955, 9953])).
% 2.66/2.15 tff(9957,plain,
% 2.66/2.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s99, c_busy)) | (~always3(s99)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9958,plain,
% 2.66/2.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s99)) | (~m_main_v_state(s99, c_busy))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9957, 9956])).
% 2.66/2.15 tff(9959,plain,
% 2.66/2.15 (~m_main_v_state(s99, c_busy)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9958, 145, 9935])).
% 2.66/2.15 tff(9960,plain,
% 2.66/2.15 (((~![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))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9961,plain,
% 2.66/2.15 ((~![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))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9962,plain,
% 2.66/2.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s99, c_busy) | m_main_v_state(s99, c_ready)),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9961, 9960])).
% 2.66/2.15 tff(9963,plain,
% 2.66/2.15 ($false),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9962, 188, 9959, 9952])).
% 2.66/2.15 tff(9964,plain,(~node4(s99)), inference(lemma,lemma(discharge,[]))).
% 2.66/2.15 tff(9965,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9966,plain,
% 2.66/2.15 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s99) | xuntil2p8(s99) | (~until2p7(s99)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9967,plain,
% 2.66/2.15 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s99) | xuntil2p8(s99) | (~until2p7(s99))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9966, 9965])).
% 2.66/2.15 tff(9968,plain,
% 2.66/2.15 (xuntil2p8(s99) | (~until2p7(s99))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9967, 8293, 9964])).
% 2.66/2.15 tff(9969,plain,
% 2.66/2.15 (~until2p7(s99)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9968, 9929])).
% 2.66/2.15 tff(9970,plain,
% 2.66/2.15 (((~![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)))),
% 2.66/2.15 inference(rewrite,[status(thm)],[])).
% 2.66/2.15 tff(9971,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s98, s99)) | until2p7(s99) | (~xuntil2p8(s98)))),
% 2.66/2.15 inference(quant_inst,[status(thm)],[])).
% 2.66/2.15 tff(9972,plain,
% 2.66/2.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s98, s99)) | until2p7(s99) | (~xuntil2p8(s98))),
% 2.66/2.15 inference(modus_ponens,[status(thm)],[9971, 9970])).
% 2.66/2.15 tff(9973,plain,
% 2.66/2.15 (until2p7(s99) | (~xuntil2p8(s98))),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9972, 5780, 8308])).
% 2.66/2.15 tff(9974,plain,
% 2.66/2.15 (~xuntil2p8(s98)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[9973, 9969])).
% 2.66/2.15 tff(9975,plain,
% 2.66/2.15 (~always3(s99)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[5776, 9918])).
% 2.66/2.15 tff(9976,plain,
% 2.66/2.15 (~always3(s98)),
% 2.66/2.15 inference(unit_resolution,[status(thm)],[5788, 9975])).
% 2.66/2.16 tff(9977,plain,
% 2.66/2.16 (~node4(s98)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[6568, 113, 9976])).
% 2.66/2.16 tff(9978,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(9979,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s98) | xuntil2p8(s98) | (~until2p7(s98)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(9980,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s98) | xuntil2p8(s98) | (~until2p7(s98))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[9979, 9978])).
% 2.66/2.16 tff(9981,plain,
% 2.66/2.16 (xuntil2p8(s98) | (~until2p7(s98))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[9980, 8293, 9977])).
% 2.66/2.16 tff(9982,plain,
% 2.66/2.16 (~until2p7(s98)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[9981, 9974])).
% 2.66/2.16 tff(9983,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(9984,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s97, s98)) | until2p7(s98) | (~xuntil2p8(s97)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(9985,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s97, s98)) | until2p7(s98) | (~xuntil2p8(s97))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[9984, 9983])).
% 2.66/2.16 tff(9986,plain,
% 2.66/2.16 (until2p7(s98) | (~xuntil2p8(s97))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[9985, 5792, 8308])).
% 2.66/2.16 tff(9987,plain,
% 2.66/2.16 (~xuntil2p8(s97)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[9986, 9982])).
% 2.66/2.16 tff(9988,assumption,(node4(s97)), introduced(assumption)).
% 2.66/2.16 tff(9989,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(9990,plain,
% 2.66/2.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s97) | (~node4(s97)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(9991,plain,
% 2.66/2.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s97) | (~node4(s97))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[9990, 9989])).
% 2.66/2.16 tff(9992,plain,
% 2.66/2.16 (m_main_v_request(s97)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[9991, 63, 9988])).
% 2.66/2.16 tff(9993,plain,
% 2.66/2.16 (always3(s97)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[6586, 113, 9988])).
% 2.66/2.16 tff(9994,plain,
% 2.66/2.16 (always3(s98)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[5800, 9993])).
% 2.66/2.16 tff(9995,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(9996,plain,
% 2.66/2.16 (((~m_main_v_state(s98, c_busy)) | (~always3(s98))) <=> ((~always3(s98)) | (~m_main_v_state(s98, c_busy)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(9997,plain,
% 2.66/2.16 (((~![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))))),
% 2.66/2.16 inference(monotonicity,[status(thm)],[9996])).
% 2.66/2.16 tff(9998,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(transitivity,[status(thm)],[9997, 9995])).
% 2.66/2.16 tff(9999,plain,
% 2.66/2.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s98, c_busy)) | (~always3(s98)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10000,plain,
% 2.66/2.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s98)) | (~m_main_v_state(s98, c_busy))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[9999, 9998])).
% 2.66/2.16 tff(10001,plain,
% 2.66/2.16 (~m_main_v_state(s98, c_busy)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10000, 145, 9994])).
% 2.66/2.16 tff(10002,plain,
% 2.66/2.16 (((~![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))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10003,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s97, s98)) | node2(s97, s98))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10004,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s97, s98)) | node2(s97, s98)),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10003, 10002])).
% 2.66/2.16 tff(10005,plain,
% 2.66/2.16 (node2(s97, s98)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10004, 7, 5796])).
% 2.66/2.16 tff(10006,plain,
% 2.66/2.16 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10007,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s97, c_ready)) | (~node2(s97, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s97)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10008,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s97, c_ready)) | (~node2(s97, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s97))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10007, 10006])).
% 2.66/2.16 tff(10009,plain,
% 2.66/2.16 ((~m_main_v_state(s97, c_ready)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s97))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10008, 166, 10005])).
% 2.66/2.16 tff(10010,plain,
% 2.66/2.16 (~m_main_v_state(s97, c_ready)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10009, 10001, 9992])).
% 2.66/2.16 tff(10011,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10012,plain,
% 2.66/2.16 (((~m_main_v_state(s97, c_busy)) | (~always3(s97))) <=> ((~always3(s97)) | (~m_main_v_state(s97, c_busy)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10013,plain,
% 2.66/2.16 (((~![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))))),
% 2.66/2.16 inference(monotonicity,[status(thm)],[10012])).
% 2.66/2.16 tff(10014,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(transitivity,[status(thm)],[10013, 10011])).
% 2.66/2.16 tff(10015,plain,
% 2.66/2.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s97, c_busy)) | (~always3(s97)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10016,plain,
% 2.66/2.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s97)) | (~m_main_v_state(s97, c_busy))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10015, 10014])).
% 2.66/2.16 tff(10017,plain,
% 2.66/2.16 (~m_main_v_state(s97, c_busy)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10016, 145, 9993])).
% 2.66/2.16 tff(10018,plain,
% 2.66/2.16 (((~![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))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10019,plain,
% 2.66/2.16 ((~![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))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10020,plain,
% 2.66/2.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s97, c_busy) | m_main_v_state(s97, c_ready)),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10019, 10018])).
% 2.66/2.16 tff(10021,plain,
% 2.66/2.16 ($false),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10020, 188, 10017, 10010])).
% 2.66/2.16 tff(10022,plain,(~node4(s97)), inference(lemma,lemma(discharge,[]))).
% 2.66/2.16 tff(10023,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10024,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s97) | xuntil2p8(s97) | (~until2p7(s97)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10025,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s97) | xuntil2p8(s97) | (~until2p7(s97))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10024, 10023])).
% 2.66/2.16 tff(10026,plain,
% 2.66/2.16 (xuntil2p8(s97) | (~until2p7(s97))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10025, 8293, 10022])).
% 2.66/2.16 tff(10027,plain,
% 2.66/2.16 (~until2p7(s97)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10026, 9987])).
% 2.66/2.16 tff(10028,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10029,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s96, s97)) | until2p7(s97) | (~xuntil2p8(s96)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10030,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s96, s97)) | until2p7(s97) | (~xuntil2p8(s96))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10029, 10028])).
% 2.66/2.16 tff(10031,plain,
% 2.66/2.16 (until2p7(s97) | (~xuntil2p8(s96))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10030, 5804, 8308])).
% 2.66/2.16 tff(10032,plain,
% 2.66/2.16 (~xuntil2p8(s96)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10031, 10027])).
% 2.66/2.16 tff(10033,plain,
% 2.66/2.16 (~always3(s97)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[5800, 9976])).
% 2.66/2.16 tff(10034,plain,
% 2.66/2.16 (~always3(s96)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[5812, 10033])).
% 2.66/2.16 tff(10035,plain,
% 2.66/2.16 (~node4(s96)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[6604, 113, 10034])).
% 2.66/2.16 tff(10036,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10037,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s96) | xuntil2p8(s96) | (~until2p7(s96)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10038,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s96) | xuntil2p8(s96) | (~until2p7(s96))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10037, 10036])).
% 2.66/2.16 tff(10039,plain,
% 2.66/2.16 (xuntil2p8(s96) | (~until2p7(s96))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10038, 8293, 10035])).
% 2.66/2.16 tff(10040,plain,
% 2.66/2.16 (~until2p7(s96)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10039, 10032])).
% 2.66/2.16 tff(10041,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10042,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s95, s96)) | until2p7(s96) | (~xuntil2p8(s95)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10043,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s95, s96)) | until2p7(s96) | (~xuntil2p8(s95))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10042, 10041])).
% 2.66/2.16 tff(10044,plain,
% 2.66/2.16 (until2p7(s96) | (~xuntil2p8(s95))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10043, 5816, 8308])).
% 2.66/2.16 tff(10045,plain,
% 2.66/2.16 (~xuntil2p8(s95)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10044, 10040])).
% 2.66/2.16 tff(10046,plain,
% 2.66/2.16 (~always3(s95)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[5824, 10034])).
% 2.66/2.16 tff(10047,plain,
% 2.66/2.16 (~node4(s95)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[6622, 113, 10046])).
% 2.66/2.16 tff(10048,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10049,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s95) | xuntil2p8(s95) | (~until2p7(s95)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10050,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s95) | xuntil2p8(s95) | (~until2p7(s95))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10049, 10048])).
% 2.66/2.16 tff(10051,plain,
% 2.66/2.16 (xuntil2p8(s95) | (~until2p7(s95))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10050, 8293, 10047])).
% 2.66/2.16 tff(10052,plain,
% 2.66/2.16 (~until2p7(s95)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10051, 10045])).
% 2.66/2.16 tff(10053,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10054,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s94, s95)) | until2p7(s95) | (~xuntil2p8(s94)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10055,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s94, s95)) | until2p7(s95) | (~xuntil2p8(s94))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10054, 10053])).
% 2.66/2.16 tff(10056,plain,
% 2.66/2.16 (until2p7(s95) | (~xuntil2p8(s94))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10055, 5828, 8308])).
% 2.66/2.16 tff(10057,plain,
% 2.66/2.16 (~xuntil2p8(s94)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10056, 10052])).
% 2.66/2.16 tff(10058,plain,
% 2.66/2.16 (~always3(s94)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[5836, 10046])).
% 2.66/2.16 tff(10059,plain,
% 2.66/2.16 (~node4(s94)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[6640, 113, 10058])).
% 2.66/2.16 tff(10060,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10061,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s94) | xuntil2p8(s94) | (~until2p7(s94)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10062,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s94) | xuntil2p8(s94) | (~until2p7(s94))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10061, 10060])).
% 2.66/2.16 tff(10063,plain,
% 2.66/2.16 (xuntil2p8(s94) | (~until2p7(s94))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10062, 8293, 10059])).
% 2.66/2.16 tff(10064,plain,
% 2.66/2.16 (~until2p7(s94)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10063, 10057])).
% 2.66/2.16 tff(10065,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10066,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s93, s94)) | until2p7(s94) | (~xuntil2p8(s93)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10067,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s93, s94)) | until2p7(s94) | (~xuntil2p8(s93))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10066, 10065])).
% 2.66/2.16 tff(10068,plain,
% 2.66/2.16 (until2p7(s94) | (~xuntil2p8(s93))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10067, 5840, 8308])).
% 2.66/2.16 tff(10069,plain,
% 2.66/2.16 (~xuntil2p8(s93)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10068, 10064])).
% 2.66/2.16 tff(10070,assumption,(node4(s93)), introduced(assumption)).
% 2.66/2.16 tff(10071,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10072,plain,
% 2.66/2.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s93) | (~node4(s93)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10073,plain,
% 2.66/2.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s93) | (~node4(s93))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10072, 10071])).
% 2.66/2.16 tff(10074,plain,
% 2.66/2.16 (m_main_v_request(s93)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10073, 63, 10070])).
% 2.66/2.16 tff(10075,plain,
% 2.66/2.16 (always3(s93)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[6658, 113, 10070])).
% 2.66/2.16 tff(10076,plain,
% 2.66/2.16 (always3(s94)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[5848, 10075])).
% 2.66/2.16 tff(10077,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10078,plain,
% 2.66/2.16 (((~m_main_v_state(s94, c_busy)) | (~always3(s94))) <=> ((~always3(s94)) | (~m_main_v_state(s94, c_busy)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10079,plain,
% 2.66/2.16 (((~![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))))),
% 2.66/2.16 inference(monotonicity,[status(thm)],[10078])).
% 2.66/2.16 tff(10080,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(transitivity,[status(thm)],[10079, 10077])).
% 2.66/2.16 tff(10081,plain,
% 2.66/2.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s94, c_busy)) | (~always3(s94)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10082,plain,
% 2.66/2.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s94)) | (~m_main_v_state(s94, c_busy))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10081, 10080])).
% 2.66/2.16 tff(10083,plain,
% 2.66/2.16 (~m_main_v_state(s94, c_busy)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10082, 145, 10076])).
% 2.66/2.16 tff(10084,plain,
% 2.66/2.16 (((~![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))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10085,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s93, s94)) | node2(s93, s94))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10086,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s93, s94)) | node2(s93, s94)),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10085, 10084])).
% 2.66/2.16 tff(10087,plain,
% 2.66/2.16 (node2(s93, s94)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10086, 7, 5844])).
% 2.66/2.16 tff(10088,plain,
% 2.66/2.16 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10089,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s93, c_ready)) | (~node2(s93, s94)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s93)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10090,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s93, c_ready)) | (~node2(s93, s94)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s93))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10089, 10088])).
% 2.66/2.16 tff(10091,plain,
% 2.66/2.16 ((~m_main_v_state(s93, c_ready)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s93))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10090, 166, 10087])).
% 2.66/2.16 tff(10092,plain,
% 2.66/2.16 (~m_main_v_state(s93, c_ready)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10091, 10083, 10074])).
% 2.66/2.16 tff(10093,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10094,plain,
% 2.66/2.16 (((~m_main_v_state(s93, c_busy)) | (~always3(s93))) <=> ((~always3(s93)) | (~m_main_v_state(s93, c_busy)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10095,plain,
% 2.66/2.16 (((~![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))))),
% 2.66/2.16 inference(monotonicity,[status(thm)],[10094])).
% 2.66/2.16 tff(10096,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(transitivity,[status(thm)],[10095, 10093])).
% 2.66/2.16 tff(10097,plain,
% 2.66/2.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s93, c_busy)) | (~always3(s93)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10098,plain,
% 2.66/2.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s93)) | (~m_main_v_state(s93, c_busy))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10097, 10096])).
% 2.66/2.16 tff(10099,plain,
% 2.66/2.16 (~m_main_v_state(s93, c_busy)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10098, 145, 10075])).
% 2.66/2.16 tff(10100,plain,
% 2.66/2.16 (((~![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))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10101,plain,
% 2.66/2.16 ((~![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))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10102,plain,
% 2.66/2.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s93, c_busy) | m_main_v_state(s93, c_ready)),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10101, 10100])).
% 2.66/2.16 tff(10103,plain,
% 2.66/2.16 ($false),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10102, 188, 10099, 10092])).
% 2.66/2.16 tff(10104,plain,(~node4(s93)), inference(lemma,lemma(discharge,[]))).
% 2.66/2.16 tff(10105,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10106,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s93) | xuntil2p8(s93) | (~until2p7(s93)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10107,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s93) | xuntil2p8(s93) | (~until2p7(s93))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10106, 10105])).
% 2.66/2.16 tff(10108,plain,
% 2.66/2.16 (xuntil2p8(s93) | (~until2p7(s93))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10107, 8293, 10104])).
% 2.66/2.16 tff(10109,plain,
% 2.66/2.16 (~until2p7(s93)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10108, 10069])).
% 2.66/2.16 tff(10110,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10111,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s92, s93)) | until2p7(s93) | (~xuntil2p8(s92)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10112,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s92, s93)) | until2p7(s93) | (~xuntil2p8(s92))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10111, 10110])).
% 2.66/2.16 tff(10113,plain,
% 2.66/2.16 (until2p7(s93) | (~xuntil2p8(s92))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10112, 5852, 8308])).
% 2.66/2.16 tff(10114,plain,
% 2.66/2.16 (~xuntil2p8(s92)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10113, 10109])).
% 2.66/2.16 tff(10115,plain,
% 2.66/2.16 (~always3(s93)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[5848, 10058])).
% 2.66/2.16 tff(10116,plain,
% 2.66/2.16 (~always3(s92)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[5860, 10115])).
% 2.66/2.16 tff(10117,plain,
% 2.66/2.16 (~node4(s92)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[6676, 113, 10116])).
% 2.66/2.16 tff(10118,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10119,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s92) | xuntil2p8(s92) | (~until2p7(s92)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10120,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s92) | xuntil2p8(s92) | (~until2p7(s92))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10119, 10118])).
% 2.66/2.16 tff(10121,plain,
% 2.66/2.16 (xuntil2p8(s92) | (~until2p7(s92))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10120, 8293, 10117])).
% 2.66/2.16 tff(10122,plain,
% 2.66/2.16 (~until2p7(s92)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10121, 10114])).
% 2.66/2.16 tff(10123,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10124,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s91, s92)) | until2p7(s92) | (~xuntil2p8(s91)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10125,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s91, s92)) | until2p7(s92) | (~xuntil2p8(s91))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10124, 10123])).
% 2.66/2.16 tff(10126,plain,
% 2.66/2.16 (until2p7(s92) | (~xuntil2p8(s91))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10125, 5864, 8308])).
% 2.66/2.16 tff(10127,plain,
% 2.66/2.16 (~xuntil2p8(s91)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10126, 10122])).
% 2.66/2.16 tff(10128,plain,
% 2.66/2.16 (~always3(s91)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[5872, 10116])).
% 2.66/2.16 tff(10129,plain,
% 2.66/2.16 (~node4(s91)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[6694, 113, 10128])).
% 2.66/2.16 tff(10130,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10131,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s91) | xuntil2p8(s91) | (~until2p7(s91)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10132,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s91) | xuntil2p8(s91) | (~until2p7(s91))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10131, 10130])).
% 2.66/2.16 tff(10133,plain,
% 2.66/2.16 (xuntil2p8(s91) | (~until2p7(s91))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10132, 8293, 10129])).
% 2.66/2.16 tff(10134,plain,
% 2.66/2.16 (~until2p7(s91)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10133, 10127])).
% 2.66/2.16 tff(10135,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10136,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s90, s91)) | until2p7(s91) | (~xuntil2p8(s90)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10137,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s90, s91)) | until2p7(s91) | (~xuntil2p8(s90))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10136, 10135])).
% 2.66/2.16 tff(10138,plain,
% 2.66/2.16 (until2p7(s91) | (~xuntil2p8(s90))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10137, 5876, 8308])).
% 2.66/2.16 tff(10139,plain,
% 2.66/2.16 (~xuntil2p8(s90)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10138, 10134])).
% 2.66/2.16 tff(10140,plain,
% 2.66/2.16 (~always3(s90)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[5884, 10128])).
% 2.66/2.16 tff(10141,plain,
% 2.66/2.16 (~node4(s90)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[6712, 113, 10140])).
% 2.66/2.16 tff(10142,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10143,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s90) | xuntil2p8(s90) | (~until2p7(s90)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10144,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s90) | xuntil2p8(s90) | (~until2p7(s90))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10143, 10142])).
% 2.66/2.16 tff(10145,plain,
% 2.66/2.16 (xuntil2p8(s90) | (~until2p7(s90))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10144, 8293, 10141])).
% 2.66/2.16 tff(10146,plain,
% 2.66/2.16 (~until2p7(s90)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10145, 10139])).
% 2.66/2.16 tff(10147,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10148,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s89, s90)) | until2p7(s90) | (~xuntil2p8(s89)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10149,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s89, s90)) | until2p7(s90) | (~xuntil2p8(s89))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10148, 10147])).
% 2.66/2.16 tff(10150,plain,
% 2.66/2.16 (until2p7(s90) | (~xuntil2p8(s89))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10149, 5888, 8308])).
% 2.66/2.16 tff(10151,plain,
% 2.66/2.16 (~xuntil2p8(s89)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10150, 10146])).
% 2.66/2.16 tff(10152,plain,
% 2.66/2.16 (~always3(s89)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[5896, 10140])).
% 2.66/2.16 tff(10153,plain,
% 2.66/2.16 (~node4(s89)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[6730, 113, 10152])).
% 2.66/2.16 tff(10154,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10155,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s89) | xuntil2p8(s89) | (~until2p7(s89)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10156,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s89) | xuntil2p8(s89) | (~until2p7(s89))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10155, 10154])).
% 2.66/2.16 tff(10157,plain,
% 2.66/2.16 (xuntil2p8(s89) | (~until2p7(s89))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10156, 8293, 10153])).
% 2.66/2.16 tff(10158,plain,
% 2.66/2.16 (~until2p7(s89)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10157, 10151])).
% 2.66/2.16 tff(10159,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10160,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s88, s89)) | until2p7(s89) | (~xuntil2p8(s88)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10161,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s88, s89)) | until2p7(s89) | (~xuntil2p8(s88))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10160, 10159])).
% 2.66/2.16 tff(10162,plain,
% 2.66/2.16 (until2p7(s89) | (~xuntil2p8(s88))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10161, 5900, 8308])).
% 2.66/2.16 tff(10163,plain,
% 2.66/2.16 (~xuntil2p8(s88)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10162, 10158])).
% 2.66/2.16 tff(10164,plain,
% 2.66/2.16 (~always3(s88)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[5908, 10152])).
% 2.66/2.16 tff(10165,plain,
% 2.66/2.16 (~node4(s88)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[6748, 113, 10164])).
% 2.66/2.16 tff(10166,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10167,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s88) | xuntil2p8(s88) | (~until2p7(s88)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10168,plain,
% 2.66/2.16 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s88) | xuntil2p8(s88) | (~until2p7(s88))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10167, 10166])).
% 2.66/2.16 tff(10169,plain,
% 2.66/2.16 (xuntil2p8(s88) | (~until2p7(s88))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10168, 8293, 10165])).
% 2.66/2.16 tff(10170,plain,
% 2.66/2.16 (~until2p7(s88)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10169, 10163])).
% 2.66/2.16 tff(10171,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.16 inference(rewrite,[status(thm)],[])).
% 2.66/2.16 tff(10172,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s87, s88)) | until2p7(s88) | (~xuntil2p8(s87)))),
% 2.66/2.16 inference(quant_inst,[status(thm)],[])).
% 2.66/2.16 tff(10173,plain,
% 2.66/2.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s87, s88)) | until2p7(s88) | (~xuntil2p8(s87))),
% 2.66/2.16 inference(modus_ponens,[status(thm)],[10172, 10171])).
% 2.66/2.16 tff(10174,plain,
% 2.66/2.16 (until2p7(s88) | (~xuntil2p8(s87))),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10173, 5912, 8308])).
% 2.66/2.16 tff(10175,plain,
% 2.66/2.16 (~xuntil2p8(s87)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[10174, 10170])).
% 2.66/2.16 tff(10176,plain,
% 2.66/2.16 (~always3(s87)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[5920, 10164])).
% 2.66/2.16 tff(10177,plain,
% 2.66/2.16 (~node4(s87)),
% 2.66/2.16 inference(unit_resolution,[status(thm)],[6766, 113, 10176])).
% 2.66/2.16 tff(10178,plain,
% 2.66/2.16 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10179,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s87) | xuntil2p8(s87) | (~until2p7(s87)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10180,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s87) | xuntil2p8(s87) | (~until2p7(s87))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10179, 10178])).
% 2.66/2.17 tff(10181,plain,
% 2.66/2.17 (xuntil2p8(s87) | (~until2p7(s87))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10180, 8293, 10177])).
% 2.66/2.17 tff(10182,plain,
% 2.66/2.17 (~until2p7(s87)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10181, 10175])).
% 2.66/2.17 tff(10183,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10184,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s86, s87)) | until2p7(s87) | (~xuntil2p8(s86)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10185,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s86, s87)) | until2p7(s87) | (~xuntil2p8(s86))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10184, 10183])).
% 2.66/2.17 tff(10186,plain,
% 2.66/2.17 (until2p7(s87) | (~xuntil2p8(s86))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10185, 5924, 8308])).
% 2.66/2.17 tff(10187,plain,
% 2.66/2.17 (~xuntil2p8(s86)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10186, 10182])).
% 2.66/2.17 tff(10188,plain,
% 2.66/2.17 (~always3(s86)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[5932, 10176])).
% 2.66/2.17 tff(10189,plain,
% 2.66/2.17 (~node4(s86)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6784, 113, 10188])).
% 2.66/2.17 tff(10190,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10191,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s86) | xuntil2p8(s86) | (~until2p7(s86)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10192,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s86) | xuntil2p8(s86) | (~until2p7(s86))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10191, 10190])).
% 2.66/2.17 tff(10193,plain,
% 2.66/2.17 (xuntil2p8(s86) | (~until2p7(s86))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10192, 8293, 10189])).
% 2.66/2.17 tff(10194,plain,
% 2.66/2.17 (~until2p7(s86)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10193, 10187])).
% 2.66/2.17 tff(10195,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10196,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s85, s86)) | until2p7(s86) | (~xuntil2p8(s85)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10197,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s85, s86)) | until2p7(s86) | (~xuntil2p8(s85))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10196, 10195])).
% 2.66/2.17 tff(10198,plain,
% 2.66/2.17 (until2p7(s86) | (~xuntil2p8(s85))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10197, 5936, 8308])).
% 2.66/2.17 tff(10199,plain,
% 2.66/2.17 (~xuntil2p8(s85)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10198, 10194])).
% 2.66/2.17 tff(10200,assumption,(node4(s85)), introduced(assumption)).
% 2.66/2.17 tff(10201,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10202,plain,
% 2.66/2.17 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s85) | (~node4(s85)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10203,plain,
% 2.66/2.17 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s85) | (~node4(s85))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10202, 10201])).
% 2.66/2.17 tff(10204,plain,
% 2.66/2.17 (m_main_v_request(s85)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10203, 63, 10200])).
% 2.66/2.17 tff(10205,plain,
% 2.66/2.17 (always3(s85)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6802, 113, 10200])).
% 2.66/2.17 tff(10206,plain,
% 2.66/2.17 (always3(s86)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[5944, 10205])).
% 2.66/2.17 tff(10207,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10208,plain,
% 2.66/2.17 (((~m_main_v_state(s86, c_busy)) | (~always3(s86))) <=> ((~always3(s86)) | (~m_main_v_state(s86, c_busy)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10209,plain,
% 2.66/2.17 (((~![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))))),
% 2.66/2.17 inference(monotonicity,[status(thm)],[10208])).
% 2.66/2.17 tff(10210,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(transitivity,[status(thm)],[10209, 10207])).
% 2.66/2.17 tff(10211,plain,
% 2.66/2.17 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s86, c_busy)) | (~always3(s86)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10212,plain,
% 2.66/2.17 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s86)) | (~m_main_v_state(s86, c_busy))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10211, 10210])).
% 2.66/2.17 tff(10213,plain,
% 2.66/2.17 (~m_main_v_state(s86, c_busy)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10212, 145, 10206])).
% 2.66/2.17 tff(10214,plain,
% 2.66/2.17 (((~![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))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10215,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s85, s86)) | node2(s85, s86))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10216,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s85, s86)) | node2(s85, s86)),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10215, 10214])).
% 2.66/2.17 tff(10217,plain,
% 2.66/2.17 (node2(s85, s86)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10216, 7, 5940])).
% 2.66/2.17 tff(10218,plain,
% 2.66/2.17 (((~![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(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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10219,plain,
% 2.66/2.17 ((~![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(s85, c_ready)) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s85)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10220,plain,
% 2.66/2.17 ((~![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(s85, c_ready)) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s85))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10219, 10218])).
% 2.66/2.17 tff(10221,plain,
% 2.66/2.17 ((~m_main_v_state(s85, c_ready)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s85))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10220, 166, 10217])).
% 2.66/2.17 tff(10222,plain,
% 2.66/2.17 (~m_main_v_state(s85, c_ready)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10221, 10213, 10204])).
% 2.66/2.17 tff(10223,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10224,plain,
% 2.66/2.17 (((~m_main_v_state(s85, c_busy)) | (~always3(s85))) <=> ((~always3(s85)) | (~m_main_v_state(s85, c_busy)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10225,plain,
% 2.66/2.17 (((~![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))))),
% 2.66/2.17 inference(monotonicity,[status(thm)],[10224])).
% 2.66/2.17 tff(10226,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(transitivity,[status(thm)],[10225, 10223])).
% 2.66/2.17 tff(10227,plain,
% 2.66/2.17 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s85, c_busy)) | (~always3(s85)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10228,plain,
% 2.66/2.17 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s85)) | (~m_main_v_state(s85, c_busy))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10227, 10226])).
% 2.66/2.17 tff(10229,plain,
% 2.66/2.17 (~m_main_v_state(s85, c_busy)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10228, 145, 10205])).
% 2.66/2.17 tff(10230,plain,
% 2.66/2.17 (((~![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))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10231,plain,
% 2.66/2.17 ((~![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))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10232,plain,
% 2.66/2.17 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s85, c_busy) | m_main_v_state(s85, c_ready)),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10231, 10230])).
% 2.66/2.17 tff(10233,plain,
% 2.66/2.17 ($false),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10232, 188, 10229, 10222])).
% 2.66/2.17 tff(10234,plain,(~node4(s85)), inference(lemma,lemma(discharge,[]))).
% 2.66/2.17 tff(10235,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10236,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s85) | xuntil2p8(s85) | (~until2p7(s85)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10237,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s85) | xuntil2p8(s85) | (~until2p7(s85))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10236, 10235])).
% 2.66/2.17 tff(10238,plain,
% 2.66/2.17 (xuntil2p8(s85) | (~until2p7(s85))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10237, 8293, 10234])).
% 2.66/2.17 tff(10239,plain,
% 2.66/2.17 (~until2p7(s85)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10238, 10199])).
% 2.66/2.17 tff(10240,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10241,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s84, s85)) | until2p7(s85) | (~xuntil2p8(s84)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10242,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s84, s85)) | until2p7(s85) | (~xuntil2p8(s84))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10241, 10240])).
% 2.66/2.17 tff(10243,plain,
% 2.66/2.17 (until2p7(s85) | (~xuntil2p8(s84))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10242, 5948, 8308])).
% 2.66/2.17 tff(10244,plain,
% 2.66/2.17 (~xuntil2p8(s84)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10243, 10239])).
% 2.66/2.17 tff(10245,plain,
% 2.66/2.17 (~always3(s85)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[5944, 10188])).
% 2.66/2.17 tff(10246,plain,
% 2.66/2.17 (~always3(s84)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[5956, 10245])).
% 2.66/2.17 tff(10247,plain,
% 2.66/2.17 (~node4(s84)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6820, 113, 10246])).
% 2.66/2.17 tff(10248,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10249,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s84) | xuntil2p8(s84) | (~until2p7(s84)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10250,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s84) | xuntil2p8(s84) | (~until2p7(s84))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10249, 10248])).
% 2.66/2.17 tff(10251,plain,
% 2.66/2.17 (xuntil2p8(s84) | (~until2p7(s84))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10250, 8293, 10247])).
% 2.66/2.17 tff(10252,plain,
% 2.66/2.17 (~until2p7(s84)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10251, 10244])).
% 2.66/2.17 tff(10253,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10254,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s83, s84)) | until2p7(s84) | (~xuntil2p8(s83)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10255,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s83, s84)) | until2p7(s84) | (~xuntil2p8(s83))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10254, 10253])).
% 2.66/2.17 tff(10256,plain,
% 2.66/2.17 (until2p7(s84) | (~xuntil2p8(s83))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10255, 5960, 8308])).
% 2.66/2.17 tff(10257,plain,
% 2.66/2.17 (~xuntil2p8(s83)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10256, 10252])).
% 2.66/2.17 tff(10258,plain,
% 2.66/2.17 (~always3(s83)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[5968, 10246])).
% 2.66/2.17 tff(10259,plain,
% 2.66/2.17 (~node4(s83)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6838, 113, 10258])).
% 2.66/2.17 tff(10260,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10261,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s83) | xuntil2p8(s83) | (~until2p7(s83)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10262,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s83) | xuntil2p8(s83) | (~until2p7(s83))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10261, 10260])).
% 2.66/2.17 tff(10263,plain,
% 2.66/2.17 (xuntil2p8(s83) | (~until2p7(s83))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10262, 8293, 10259])).
% 2.66/2.17 tff(10264,plain,
% 2.66/2.17 (~until2p7(s83)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10263, 10257])).
% 2.66/2.17 tff(10265,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10266,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s82, s83)) | until2p7(s83) | (~xuntil2p8(s82)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10267,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s82, s83)) | until2p7(s83) | (~xuntil2p8(s82))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10266, 10265])).
% 2.66/2.17 tff(10268,plain,
% 2.66/2.17 (until2p7(s83) | (~xuntil2p8(s82))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10267, 5972, 8308])).
% 2.66/2.17 tff(10269,plain,
% 2.66/2.17 (~xuntil2p8(s82)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10268, 10264])).
% 2.66/2.17 tff(10270,plain,
% 2.66/2.17 (~always3(s82)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[5980, 10258])).
% 2.66/2.17 tff(10271,plain,
% 2.66/2.17 (~node4(s82)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6856, 113, 10270])).
% 2.66/2.17 tff(10272,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10273,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s82) | xuntil2p8(s82) | (~until2p7(s82)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10274,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s82) | xuntil2p8(s82) | (~until2p7(s82))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10273, 10272])).
% 2.66/2.17 tff(10275,plain,
% 2.66/2.17 (xuntil2p8(s82) | (~until2p7(s82))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10274, 8293, 10271])).
% 2.66/2.17 tff(10276,plain,
% 2.66/2.17 (~until2p7(s82)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10275, 10269])).
% 2.66/2.17 tff(10277,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10278,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s81, s82)) | until2p7(s82) | (~xuntil2p8(s81)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10279,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s81, s82)) | until2p7(s82) | (~xuntil2p8(s81))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10278, 10277])).
% 2.66/2.17 tff(10280,plain,
% 2.66/2.17 (until2p7(s82) | (~xuntil2p8(s81))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10279, 5984, 8308])).
% 2.66/2.17 tff(10281,plain,
% 2.66/2.17 (~xuntil2p8(s81)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10280, 10276])).
% 2.66/2.17 tff(10282,plain,
% 2.66/2.17 (~always3(s81)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[5992, 10270])).
% 2.66/2.17 tff(10283,plain,
% 2.66/2.17 (~node4(s81)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6874, 113, 10282])).
% 2.66/2.17 tff(10284,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10285,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s81) | xuntil2p8(s81) | (~until2p7(s81)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10286,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s81) | xuntil2p8(s81) | (~until2p7(s81))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10285, 10284])).
% 2.66/2.17 tff(10287,plain,
% 2.66/2.17 (xuntil2p8(s81) | (~until2p7(s81))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10286, 8293, 10283])).
% 2.66/2.17 tff(10288,plain,
% 2.66/2.17 (~until2p7(s81)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10287, 10281])).
% 2.66/2.17 tff(10289,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10290,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s80, s81)) | until2p7(s81) | (~xuntil2p8(s80)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10291,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s80, s81)) | until2p7(s81) | (~xuntil2p8(s80))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10290, 10289])).
% 2.66/2.17 tff(10292,plain,
% 2.66/2.17 (until2p7(s81) | (~xuntil2p8(s80))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10291, 5996, 8308])).
% 2.66/2.17 tff(10293,plain,
% 2.66/2.17 (~xuntil2p8(s80)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10292, 10288])).
% 2.66/2.17 tff(10294,plain,
% 2.66/2.17 (~always3(s80)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6004, 10282])).
% 2.66/2.17 tff(10295,plain,
% 2.66/2.17 (~node4(s80)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6892, 113, 10294])).
% 2.66/2.17 tff(10296,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10297,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s80) | xuntil2p8(s80) | (~until2p7(s80)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10298,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s80) | xuntil2p8(s80) | (~until2p7(s80))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10297, 10296])).
% 2.66/2.17 tff(10299,plain,
% 2.66/2.17 (xuntil2p8(s80) | (~until2p7(s80))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10298, 8293, 10295])).
% 2.66/2.17 tff(10300,plain,
% 2.66/2.17 (~until2p7(s80)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10299, 10293])).
% 2.66/2.17 tff(10301,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10302,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s79, s80)) | until2p7(s80) | (~xuntil2p8(s79)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10303,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s79, s80)) | until2p7(s80) | (~xuntil2p8(s79))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10302, 10301])).
% 2.66/2.17 tff(10304,plain,
% 2.66/2.17 (until2p7(s80) | (~xuntil2p8(s79))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10303, 6008, 8308])).
% 2.66/2.17 tff(10305,plain,
% 2.66/2.17 (~xuntil2p8(s79)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10304, 10300])).
% 2.66/2.17 tff(10306,plain,
% 2.66/2.17 (~always3(s79)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6016, 10294])).
% 2.66/2.17 tff(10307,plain,
% 2.66/2.17 (~node4(s79)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6910, 113, 10306])).
% 2.66/2.17 tff(10308,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10309,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s79) | xuntil2p8(s79) | (~until2p7(s79)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10310,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s79) | xuntil2p8(s79) | (~until2p7(s79))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10309, 10308])).
% 2.66/2.17 tff(10311,plain,
% 2.66/2.17 (xuntil2p8(s79) | (~until2p7(s79))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10310, 8293, 10307])).
% 2.66/2.17 tff(10312,plain,
% 2.66/2.17 (~until2p7(s79)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10311, 10305])).
% 2.66/2.17 tff(10313,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10314,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s78, s79)) | until2p7(s79) | (~xuntil2p8(s78)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10315,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s78, s79)) | until2p7(s79) | (~xuntil2p8(s78))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10314, 10313])).
% 2.66/2.17 tff(10316,plain,
% 2.66/2.17 (until2p7(s79) | (~xuntil2p8(s78))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10315, 6020, 8308])).
% 2.66/2.17 tff(10317,plain,
% 2.66/2.17 (~xuntil2p8(s78)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10316, 10312])).
% 2.66/2.17 tff(10318,plain,
% 2.66/2.17 (~always3(s78)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6028, 10306])).
% 2.66/2.17 tff(10319,plain,
% 2.66/2.17 (~node4(s78)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6928, 113, 10318])).
% 2.66/2.17 tff(10320,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10321,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s78) | xuntil2p8(s78) | (~until2p7(s78)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10322,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s78) | xuntil2p8(s78) | (~until2p7(s78))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10321, 10320])).
% 2.66/2.17 tff(10323,plain,
% 2.66/2.17 (xuntil2p8(s78) | (~until2p7(s78))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10322, 8293, 10319])).
% 2.66/2.17 tff(10324,plain,
% 2.66/2.17 (~until2p7(s78)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10323, 10317])).
% 2.66/2.17 tff(10325,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10326,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s77, s78)) | until2p7(s78) | (~xuntil2p8(s77)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10327,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s77, s78)) | until2p7(s78) | (~xuntil2p8(s77))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10326, 10325])).
% 2.66/2.17 tff(10328,plain,
% 2.66/2.17 (until2p7(s78) | (~xuntil2p8(s77))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10327, 6032, 8308])).
% 2.66/2.17 tff(10329,plain,
% 2.66/2.17 (~xuntil2p8(s77)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10328, 10324])).
% 2.66/2.17 tff(10330,plain,
% 2.66/2.17 (~always3(s77)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6040, 10318])).
% 2.66/2.17 tff(10331,plain,
% 2.66/2.17 (~node4(s77)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6946, 113, 10330])).
% 2.66/2.17 tff(10332,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10333,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s77) | xuntil2p8(s77) | (~until2p7(s77)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10334,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s77) | xuntil2p8(s77) | (~until2p7(s77))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10333, 10332])).
% 2.66/2.17 tff(10335,plain,
% 2.66/2.17 (xuntil2p8(s77) | (~until2p7(s77))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10334, 8293, 10331])).
% 2.66/2.17 tff(10336,plain,
% 2.66/2.17 (~until2p7(s77)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10335, 10329])).
% 2.66/2.17 tff(10337,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10338,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s76, s77)) | until2p7(s77) | (~xuntil2p8(s76)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10339,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s76, s77)) | until2p7(s77) | (~xuntil2p8(s76))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10338, 10337])).
% 2.66/2.17 tff(10340,plain,
% 2.66/2.17 (until2p7(s77) | (~xuntil2p8(s76))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10339, 6044, 8308])).
% 2.66/2.17 tff(10341,plain,
% 2.66/2.17 (~xuntil2p8(s76)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10340, 10336])).
% 2.66/2.17 tff(10342,plain,
% 2.66/2.17 (~always3(s76)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6052, 10330])).
% 2.66/2.17 tff(10343,plain,
% 2.66/2.17 (~node4(s76)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6964, 113, 10342])).
% 2.66/2.17 tff(10344,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10345,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s76) | xuntil2p8(s76) | (~until2p7(s76)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10346,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s76) | xuntil2p8(s76) | (~until2p7(s76))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10345, 10344])).
% 2.66/2.17 tff(10347,plain,
% 2.66/2.17 (xuntil2p8(s76) | (~until2p7(s76))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10346, 8293, 10343])).
% 2.66/2.17 tff(10348,plain,
% 2.66/2.17 (~until2p7(s76)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10347, 10341])).
% 2.66/2.17 tff(10349,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10350,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s75, s76)) | until2p7(s76) | (~xuntil2p8(s75)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10351,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s75, s76)) | until2p7(s76) | (~xuntil2p8(s75))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10350, 10349])).
% 2.66/2.17 tff(10352,plain,
% 2.66/2.17 (until2p7(s76) | (~xuntil2p8(s75))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10351, 6056, 8308])).
% 2.66/2.17 tff(10353,plain,
% 2.66/2.17 (~xuntil2p8(s75)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10352, 10348])).
% 2.66/2.17 tff(10354,plain,
% 2.66/2.17 (~always3(s75)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6064, 10342])).
% 2.66/2.17 tff(10355,plain,
% 2.66/2.17 (~node4(s75)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6982, 113, 10354])).
% 2.66/2.17 tff(10356,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10357,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s75) | xuntil2p8(s75) | (~until2p7(s75)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10358,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s75) | xuntil2p8(s75) | (~until2p7(s75))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10357, 10356])).
% 2.66/2.17 tff(10359,plain,
% 2.66/2.17 (xuntil2p8(s75) | (~until2p7(s75))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10358, 8293, 10355])).
% 2.66/2.17 tff(10360,plain,
% 2.66/2.17 (~until2p7(s75)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10359, 10353])).
% 2.66/2.17 tff(10361,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10362,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s74, s75)) | until2p7(s75) | (~xuntil2p8(s74)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10363,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s74, s75)) | until2p7(s75) | (~xuntil2p8(s74))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10362, 10361])).
% 2.66/2.17 tff(10364,plain,
% 2.66/2.17 (until2p7(s75) | (~xuntil2p8(s74))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10363, 6068, 8308])).
% 2.66/2.17 tff(10365,plain,
% 2.66/2.17 (~xuntil2p8(s74)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10364, 10360])).
% 2.66/2.17 tff(10366,plain,
% 2.66/2.17 (~always3(s74)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6076, 10354])).
% 2.66/2.17 tff(10367,plain,
% 2.66/2.17 (~node4(s74)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[7000, 113, 10366])).
% 2.66/2.17 tff(10368,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10369,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s74) | xuntil2p8(s74) | (~until2p7(s74)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10370,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s74) | xuntil2p8(s74) | (~until2p7(s74))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10369, 10368])).
% 2.66/2.17 tff(10371,plain,
% 2.66/2.17 (xuntil2p8(s74) | (~until2p7(s74))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10370, 8293, 10367])).
% 2.66/2.17 tff(10372,plain,
% 2.66/2.17 (~until2p7(s74)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10371, 10365])).
% 2.66/2.17 tff(10373,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10374,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s73, s74)) | until2p7(s74) | (~xuntil2p8(s73)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10375,plain,
% 2.66/2.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s73, s74)) | until2p7(s74) | (~xuntil2p8(s73))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10374, 10373])).
% 2.66/2.17 tff(10376,plain,
% 2.66/2.17 (until2p7(s74) | (~xuntil2p8(s73))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10375, 6080, 8308])).
% 2.66/2.17 tff(10377,plain,
% 2.66/2.17 (~xuntil2p8(s73)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10376, 10372])).
% 2.66/2.17 tff(10378,plain,
% 2.66/2.17 (~always3(s73)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[6088, 10366])).
% 2.66/2.17 tff(10379,plain,
% 2.66/2.17 (~node4(s73)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[7018, 113, 10378])).
% 2.66/2.17 tff(10380,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.17 tff(10381,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s73) | xuntil2p8(s73) | (~until2p7(s73)))),
% 2.66/2.17 inference(quant_inst,[status(thm)],[])).
% 2.66/2.17 tff(10382,plain,
% 2.66/2.17 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s73) | xuntil2p8(s73) | (~until2p7(s73))),
% 2.66/2.17 inference(modus_ponens,[status(thm)],[10381, 10380])).
% 2.66/2.17 tff(10383,plain,
% 2.66/2.17 (xuntil2p8(s73) | (~until2p7(s73))),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10382, 8293, 10379])).
% 2.66/2.17 tff(10384,plain,
% 2.66/2.17 (~until2p7(s73)),
% 2.66/2.17 inference(unit_resolution,[status(thm)],[10383, 10377])).
% 2.66/2.17 tff(10385,plain,
% 2.66/2.17 (((~![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)))),
% 2.66/2.17 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10386,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s72, s73)) | until2p7(s73) | (~xuntil2p8(s72)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10387,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s72, s73)) | until2p7(s73) | (~xuntil2p8(s72))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10386, 10385])).
% 2.66/2.18 tff(10388,plain,
% 2.66/2.18 (until2p7(s73) | (~xuntil2p8(s72))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10387, 6092, 8308])).
% 2.66/2.18 tff(10389,plain,
% 2.66/2.18 (~xuntil2p8(s72)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10388, 10384])).
% 2.66/2.18 tff(10390,plain,
% 2.66/2.18 (~always3(s72)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[6100, 10378])).
% 2.66/2.18 tff(10391,plain,
% 2.66/2.18 (~node4(s72)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[7036, 113, 10390])).
% 2.66/2.18 tff(10392,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10393,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s72) | xuntil2p8(s72) | (~until2p7(s72)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10394,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s72) | xuntil2p8(s72) | (~until2p7(s72))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10393, 10392])).
% 2.66/2.18 tff(10395,plain,
% 2.66/2.18 (xuntil2p8(s72) | (~until2p7(s72))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10394, 8293, 10391])).
% 2.66/2.18 tff(10396,plain,
% 2.66/2.18 (~until2p7(s72)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10395, 10389])).
% 2.66/2.18 tff(10397,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10398,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s71, s72)) | until2p7(s72) | (~xuntil2p8(s71)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10399,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s71, s72)) | until2p7(s72) | (~xuntil2p8(s71))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10398, 10397])).
% 2.66/2.18 tff(10400,plain,
% 2.66/2.18 (until2p7(s72) | (~xuntil2p8(s71))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10399, 6104, 8308])).
% 2.66/2.18 tff(10401,plain,
% 2.66/2.18 (~xuntil2p8(s71)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10400, 10396])).
% 2.66/2.18 tff(10402,plain,
% 2.66/2.18 (~always3(s71)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[6112, 10390])).
% 2.66/2.18 tff(10403,plain,
% 2.66/2.18 (~node4(s71)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[7578, 113, 10402])).
% 2.66/2.18 tff(10404,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10405,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s71) | xuntil2p8(s71) | (~until2p7(s71)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10406,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s71) | xuntil2p8(s71) | (~until2p7(s71))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10405, 10404])).
% 2.66/2.18 tff(10407,plain,
% 2.66/2.18 (xuntil2p8(s71) | (~until2p7(s71))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10406, 8293, 10403])).
% 2.66/2.18 tff(10408,plain,
% 2.66/2.18 (~until2p7(s71)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10407, 10401])).
% 2.66/2.18 tff(10409,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10410,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s70, s71)) | until2p7(s71) | (~xuntil2p8(s70)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10411,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s70, s71)) | until2p7(s71) | (~xuntil2p8(s70))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10410, 10409])).
% 2.66/2.18 tff(10412,plain,
% 2.66/2.18 (until2p7(s71) | (~xuntil2p8(s70))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10411, 6116, 8308])).
% 2.66/2.18 tff(10413,plain,
% 2.66/2.18 (~xuntil2p8(s70)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10412, 10408])).
% 2.66/2.18 tff(10414,plain,
% 2.66/2.18 (~always3(s70)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[6124, 10402])).
% 2.66/2.18 tff(10415,plain,
% 2.66/2.18 (~node4(s70)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[7561, 113, 10414])).
% 2.66/2.18 tff(10416,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10417,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s70) | xuntil2p8(s70) | (~until2p7(s70)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10418,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s70) | xuntil2p8(s70) | (~until2p7(s70))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10417, 10416])).
% 2.66/2.18 tff(10419,plain,
% 2.66/2.18 (xuntil2p8(s70) | (~until2p7(s70))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10418, 8293, 10415])).
% 2.66/2.18 tff(10420,plain,
% 2.66/2.18 (~until2p7(s70)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10419, 10413])).
% 2.66/2.18 tff(10421,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10422,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s69, s70)) | until2p7(s70) | (~xuntil2p8(s69)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10423,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s69, s70)) | until2p7(s70) | (~xuntil2p8(s69))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10422, 10421])).
% 2.66/2.18 tff(10424,plain,
% 2.66/2.18 (until2p7(s70) | (~xuntil2p8(s69))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10423, 6128, 8308])).
% 2.66/2.18 tff(10425,plain,
% 2.66/2.18 (~xuntil2p8(s69)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10424, 10420])).
% 2.66/2.18 tff(10426,plain,
% 2.66/2.18 (~always3(s69)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[6136, 10414])).
% 2.66/2.18 tff(10427,plain,
% 2.66/2.18 (~node4(s69)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[7544, 113, 10426])).
% 2.66/2.18 tff(10428,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10429,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s69) | xuntil2p8(s69) | (~until2p7(s69)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10430,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s69) | xuntil2p8(s69) | (~until2p7(s69))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10429, 10428])).
% 2.66/2.18 tff(10431,plain,
% 2.66/2.18 (xuntil2p8(s69) | (~until2p7(s69))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10430, 8293, 10427])).
% 2.66/2.18 tff(10432,plain,
% 2.66/2.18 (~until2p7(s69)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10431, 10425])).
% 2.66/2.18 tff(10433,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10434,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s68, s69)) | until2p7(s69) | (~xuntil2p8(s68)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10435,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s68, s69)) | until2p7(s69) | (~xuntil2p8(s68))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10434, 10433])).
% 2.66/2.18 tff(10436,plain,
% 2.66/2.18 (until2p7(s69) | (~xuntil2p8(s68))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10435, 6140, 8308])).
% 2.66/2.18 tff(10437,plain,
% 2.66/2.18 (~xuntil2p8(s68)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10436, 10432])).
% 2.66/2.18 tff(10438,plain,
% 2.66/2.18 (~always3(s68)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[6148, 10426])).
% 2.66/2.18 tff(10439,plain,
% 2.66/2.18 (~node4(s68)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[7527, 113, 10438])).
% 2.66/2.18 tff(10440,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10441,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s68) | xuntil2p8(s68) | (~until2p7(s68)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10442,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s68) | xuntil2p8(s68) | (~until2p7(s68))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10441, 10440])).
% 2.66/2.18 tff(10443,plain,
% 2.66/2.18 (xuntil2p8(s68) | (~until2p7(s68))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10442, 8293, 10439])).
% 2.66/2.18 tff(10444,plain,
% 2.66/2.18 (~until2p7(s68)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10443, 10437])).
% 2.66/2.18 tff(10445,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10446,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s67, s68)) | until2p7(s68) | (~xuntil2p8(s67)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10447,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s67, s68)) | until2p7(s68) | (~xuntil2p8(s67))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10446, 10445])).
% 2.66/2.18 tff(10448,plain,
% 2.66/2.18 (until2p7(s68) | (~xuntil2p8(s67))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10447, 6152, 8308])).
% 2.66/2.18 tff(10449,plain,
% 2.66/2.18 (~xuntil2p8(s67)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10448, 10444])).
% 2.66/2.18 tff(10450,plain,
% 2.66/2.18 (~always3(s67)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[6160, 10438])).
% 2.66/2.18 tff(10451,plain,
% 2.66/2.18 (~node4(s67)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[7510, 113, 10450])).
% 2.66/2.18 tff(10452,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10453,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s67) | xuntil2p8(s67) | (~until2p7(s67)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10454,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s67) | xuntil2p8(s67) | (~until2p7(s67))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10453, 10452])).
% 2.66/2.18 tff(10455,plain,
% 2.66/2.18 (xuntil2p8(s67) | (~until2p7(s67))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10454, 8293, 10451])).
% 2.66/2.18 tff(10456,plain,
% 2.66/2.18 (~until2p7(s67)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10455, 10449])).
% 2.66/2.18 tff(10457,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10458,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s66, s67)) | until2p7(s67) | (~xuntil2p8(s66)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10459,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s66, s67)) | until2p7(s67) | (~xuntil2p8(s66))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10458, 10457])).
% 2.66/2.18 tff(10460,plain,
% 2.66/2.18 (until2p7(s67) | (~xuntil2p8(s66))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10459, 6164, 8308])).
% 2.66/2.18 tff(10461,plain,
% 2.66/2.18 (~xuntil2p8(s66)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10460, 10456])).
% 2.66/2.18 tff(10462,plain,
% 2.66/2.18 (~always3(s66)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[6172, 10450])).
% 2.66/2.18 tff(10463,plain,
% 2.66/2.18 (~node4(s66)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[7493, 113, 10462])).
% 2.66/2.18 tff(10464,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10465,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s66) | xuntil2p8(s66) | (~until2p7(s66)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10466,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s66) | xuntil2p8(s66) | (~until2p7(s66))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10465, 10464])).
% 2.66/2.18 tff(10467,plain,
% 2.66/2.18 (xuntil2p8(s66) | (~until2p7(s66))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10466, 8293, 10463])).
% 2.66/2.18 tff(10468,plain,
% 2.66/2.18 (~until2p7(s66)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10467, 10461])).
% 2.66/2.18 tff(10469,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10470,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s65, s66)) | until2p7(s66) | (~xuntil2p8(s65)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10471,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s65, s66)) | until2p7(s66) | (~xuntil2p8(s65))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10470, 10469])).
% 2.66/2.18 tff(10472,plain,
% 2.66/2.18 (until2p7(s66) | (~xuntil2p8(s65))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10471, 6176, 8308])).
% 2.66/2.18 tff(10473,plain,
% 2.66/2.18 (~xuntil2p8(s65)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10472, 10468])).
% 2.66/2.18 tff(10474,plain,
% 2.66/2.18 (~always3(s65)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[6184, 10462])).
% 2.66/2.18 tff(10475,plain,
% 2.66/2.18 (~node4(s65)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[7476, 113, 10474])).
% 2.66/2.18 tff(10476,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10477,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s65) | xuntil2p8(s65) | (~until2p7(s65)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10478,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s65) | xuntil2p8(s65) | (~until2p7(s65))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10477, 10476])).
% 2.66/2.18 tff(10479,plain,
% 2.66/2.18 (xuntil2p8(s65) | (~until2p7(s65))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10478, 8293, 10475])).
% 2.66/2.18 tff(10480,plain,
% 2.66/2.18 (~until2p7(s65)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10479, 10473])).
% 2.66/2.18 tff(10481,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10482,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s64, s65)) | until2p7(s65) | (~xuntil2p8(s64)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10483,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s64, s65)) | until2p7(s65) | (~xuntil2p8(s64))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10482, 10481])).
% 2.66/2.18 tff(10484,plain,
% 2.66/2.18 (until2p7(s65) | (~xuntil2p8(s64))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10483, 6188, 8308])).
% 2.66/2.18 tff(10485,plain,
% 2.66/2.18 (~xuntil2p8(s64)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10484, 10480])).
% 2.66/2.18 tff(10486,plain,
% 2.66/2.18 (~always3(s64)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[6196, 10474])).
% 2.66/2.18 tff(10487,plain,
% 2.66/2.18 (~node4(s64)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[7459, 113, 10486])).
% 2.66/2.18 tff(10488,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10489,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s64) | xuntil2p8(s64) | (~until2p7(s64)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10490,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s64) | xuntil2p8(s64) | (~until2p7(s64))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10489, 10488])).
% 2.66/2.18 tff(10491,plain,
% 2.66/2.18 (xuntil2p8(s64) | (~until2p7(s64))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10490, 8293, 10487])).
% 2.66/2.18 tff(10492,plain,
% 2.66/2.18 (~until2p7(s64)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10491, 10485])).
% 2.66/2.18 tff(10493,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10494,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s63, s64)) | until2p7(s64) | (~xuntil2p8(s63)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10495,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s63, s64)) | until2p7(s64) | (~xuntil2p8(s63))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10494, 10493])).
% 2.66/2.18 tff(10496,plain,
% 2.66/2.18 (until2p7(s64) | (~xuntil2p8(s63))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10495, 6200, 8308])).
% 2.66/2.18 tff(10497,plain,
% 2.66/2.18 (~xuntil2p8(s63)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10496, 10492])).
% 2.66/2.18 tff(10498,plain,
% 2.66/2.18 (~always3(s63)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[6208, 10486])).
% 2.66/2.18 tff(10499,plain,
% 2.66/2.18 (~node4(s63)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[7442, 113, 10498])).
% 2.66/2.18 tff(10500,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10501,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s63) | xuntil2p8(s63) | (~until2p7(s63)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10502,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s63) | xuntil2p8(s63) | (~until2p7(s63))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10501, 10500])).
% 2.66/2.18 tff(10503,plain,
% 2.66/2.18 (xuntil2p8(s63) | (~until2p7(s63))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10502, 8293, 10499])).
% 2.66/2.18 tff(10504,plain,
% 2.66/2.18 (~until2p7(s63)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10503, 10497])).
% 2.66/2.18 tff(10505,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10506,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s62, s63)) | until2p7(s63) | (~xuntil2p8(s62)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10507,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s62, s63)) | until2p7(s63) | (~xuntil2p8(s62))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10506, 10505])).
% 2.66/2.18 tff(10508,plain,
% 2.66/2.18 (until2p7(s63) | (~xuntil2p8(s62))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10507, 6212, 8308])).
% 2.66/2.18 tff(10509,plain,
% 2.66/2.18 (~xuntil2p8(s62)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10508, 10504])).
% 2.66/2.18 tff(10510,plain,
% 2.66/2.18 (~always3(s62)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[6220, 10498])).
% 2.66/2.18 tff(10511,plain,
% 2.66/2.18 (~node4(s62)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[7425, 113, 10510])).
% 2.66/2.18 tff(10512,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10513,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s62) | xuntil2p8(s62) | (~until2p7(s62)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10514,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s62) | xuntil2p8(s62) | (~until2p7(s62))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10513, 10512])).
% 2.66/2.18 tff(10515,plain,
% 2.66/2.18 (xuntil2p8(s62) | (~until2p7(s62))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10514, 8293, 10511])).
% 2.66/2.18 tff(10516,plain,
% 2.66/2.18 (~until2p7(s62)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10515, 10509])).
% 2.66/2.18 tff(10517,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10518,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s61, s62)) | until2p7(s62) | (~xuntil2p8(s61)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10519,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s61, s62)) | until2p7(s62) | (~xuntil2p8(s61))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10518, 10517])).
% 2.66/2.18 tff(10520,plain,
% 2.66/2.18 (until2p7(s62) | (~xuntil2p8(s61))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10519, 6224, 8308])).
% 2.66/2.18 tff(10521,plain,
% 2.66/2.18 (~xuntil2p8(s61)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10520, 10516])).
% 2.66/2.18 tff(10522,plain,
% 2.66/2.18 (~always3(s61)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[6232, 10510])).
% 2.66/2.18 tff(10523,plain,
% 2.66/2.18 (~node4(s61)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[7408, 113, 10522])).
% 2.66/2.18 tff(10524,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10525,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s61) | xuntil2p8(s61) | (~until2p7(s61)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10526,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s61) | xuntil2p8(s61) | (~until2p7(s61))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10525, 10524])).
% 2.66/2.18 tff(10527,plain,
% 2.66/2.18 (xuntil2p8(s61) | (~until2p7(s61))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10526, 8293, 10523])).
% 2.66/2.18 tff(10528,plain,
% 2.66/2.18 (~until2p7(s61)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10527, 10521])).
% 2.66/2.18 tff(10529,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10530,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s60, s61)) | until2p7(s61) | (~xuntil2p8(s60)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10531,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s60, s61)) | until2p7(s61) | (~xuntil2p8(s60))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10530, 10529])).
% 2.66/2.18 tff(10532,plain,
% 2.66/2.18 (until2p7(s61) | (~xuntil2p8(s60))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10531, 6236, 8308])).
% 2.66/2.18 tff(10533,plain,
% 2.66/2.18 (~xuntil2p8(s60)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10532, 10528])).
% 2.66/2.18 tff(10534,plain,
% 2.66/2.18 (~always3(s60)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[6244, 10522])).
% 2.66/2.18 tff(10535,plain,
% 2.66/2.18 (~node4(s60)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[7391, 113, 10534])).
% 2.66/2.18 tff(10536,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10537,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s60) | xuntil2p8(s60) | (~until2p7(s60)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10538,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s60) | xuntil2p8(s60) | (~until2p7(s60))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10537, 10536])).
% 2.66/2.18 tff(10539,plain,
% 2.66/2.18 (xuntil2p8(s60) | (~until2p7(s60))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10538, 8293, 10535])).
% 2.66/2.18 tff(10540,plain,
% 2.66/2.18 (~until2p7(s60)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10539, 10533])).
% 2.66/2.18 tff(10541,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10542,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s59, s60)) | until2p7(s60) | (~xuntil2p8(s59)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10543,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s59, s60)) | until2p7(s60) | (~xuntil2p8(s59))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10542, 10541])).
% 2.66/2.18 tff(10544,plain,
% 2.66/2.18 (until2p7(s60) | (~xuntil2p8(s59))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10543, 6248, 8308])).
% 2.66/2.18 tff(10545,plain,
% 2.66/2.18 (~xuntil2p8(s59)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10544, 10540])).
% 2.66/2.18 tff(10546,plain,
% 2.66/2.18 (~always3(s59)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[6256, 10534])).
% 2.66/2.18 tff(10547,plain,
% 2.66/2.18 (~node4(s59)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[7374, 113, 10546])).
% 2.66/2.18 tff(10548,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10549,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s59) | xuntil2p8(s59) | (~until2p7(s59)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10550,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s59) | xuntil2p8(s59) | (~until2p7(s59))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10549, 10548])).
% 2.66/2.18 tff(10551,plain,
% 2.66/2.18 (xuntil2p8(s59) | (~until2p7(s59))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10550, 8293, 10547])).
% 2.66/2.18 tff(10552,plain,
% 2.66/2.18 (~until2p7(s59)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10551, 10545])).
% 2.66/2.18 tff(10553,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10554,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s58, s59)) | until2p7(s59) | (~xuntil2p8(s58)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10555,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s58, s59)) | until2p7(s59) | (~xuntil2p8(s58))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10554, 10553])).
% 2.66/2.18 tff(10556,plain,
% 2.66/2.18 (until2p7(s59) | (~xuntil2p8(s58))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10555, 6260, 8308])).
% 2.66/2.18 tff(10557,plain,
% 2.66/2.18 (~xuntil2p8(s58)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10556, 10552])).
% 2.66/2.18 tff(10558,plain,
% 2.66/2.18 (~always3(s58)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[6268, 10546])).
% 2.66/2.18 tff(10559,plain,
% 2.66/2.18 (~node4(s58)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[7357, 113, 10558])).
% 2.66/2.18 tff(10560,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10561,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s58) | xuntil2p8(s58) | (~until2p7(s58)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10562,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s58) | xuntil2p8(s58) | (~until2p7(s58))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10561, 10560])).
% 2.66/2.18 tff(10563,plain,
% 2.66/2.18 (xuntil2p8(s58) | (~until2p7(s58))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10562, 8293, 10559])).
% 2.66/2.18 tff(10564,plain,
% 2.66/2.18 (~until2p7(s58)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10563, 10557])).
% 2.66/2.18 tff(10565,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10566,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s57, s58)) | until2p7(s58) | (~xuntil2p8(s57)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10567,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s57, s58)) | until2p7(s58) | (~xuntil2p8(s57))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10566, 10565])).
% 2.66/2.18 tff(10568,plain,
% 2.66/2.18 (until2p7(s58) | (~xuntil2p8(s57))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10567, 6272, 8308])).
% 2.66/2.18 tff(10569,plain,
% 2.66/2.18 (~xuntil2p8(s57)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10568, 10564])).
% 2.66/2.18 tff(10570,plain,
% 2.66/2.18 (~always3(s57)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[6280, 10558])).
% 2.66/2.18 tff(10571,plain,
% 2.66/2.18 (~node4(s57)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[7340, 113, 10570])).
% 2.66/2.18 tff(10572,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10573,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s57) | xuntil2p8(s57) | (~until2p7(s57)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10574,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s57) | xuntil2p8(s57) | (~until2p7(s57))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10573, 10572])).
% 2.66/2.18 tff(10575,plain,
% 2.66/2.18 (xuntil2p8(s57) | (~until2p7(s57))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10574, 8293, 10571])).
% 2.66/2.18 tff(10576,plain,
% 2.66/2.18 (~until2p7(s57)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10575, 10569])).
% 2.66/2.18 tff(10577,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10578,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s56, s57)) | until2p7(s57) | (~xuntil2p8(s56)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10579,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s56, s57)) | until2p7(s57) | (~xuntil2p8(s56))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10578, 10577])).
% 2.66/2.18 tff(10580,plain,
% 2.66/2.18 (until2p7(s57) | (~xuntil2p8(s56))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10579, 6284, 8308])).
% 2.66/2.18 tff(10581,plain,
% 2.66/2.18 (~xuntil2p8(s56)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10580, 10576])).
% 2.66/2.18 tff(10582,plain,
% 2.66/2.18 (~always3(s56)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[6292, 10570])).
% 2.66/2.18 tff(10583,plain,
% 2.66/2.18 (~node4(s56)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[7323, 113, 10582])).
% 2.66/2.18 tff(10584,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10585,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s56) | xuntil2p8(s56) | (~until2p7(s56)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10586,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s56) | xuntil2p8(s56) | (~until2p7(s56))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10585, 10584])).
% 2.66/2.18 tff(10587,plain,
% 2.66/2.18 (xuntil2p8(s56) | (~until2p7(s56))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10586, 8293, 10583])).
% 2.66/2.18 tff(10588,plain,
% 2.66/2.18 (~until2p7(s56)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10587, 10581])).
% 2.66/2.18 tff(10589,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10590,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s55, s56)) | until2p7(s56) | (~xuntil2p8(s55)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10591,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s55, s56)) | until2p7(s56) | (~xuntil2p8(s55))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10590, 10589])).
% 2.66/2.18 tff(10592,plain,
% 2.66/2.18 (until2p7(s56) | (~xuntil2p8(s55))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10591, 6296, 8308])).
% 2.66/2.18 tff(10593,plain,
% 2.66/2.18 (~xuntil2p8(s55)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10592, 10588])).
% 2.66/2.18 tff(10594,plain,
% 2.66/2.18 (~always3(s55)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[6304, 10582])).
% 2.66/2.18 tff(10595,plain,
% 2.66/2.18 (~node4(s55)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[7306, 113, 10594])).
% 2.66/2.18 tff(10596,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10597,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s55) | xuntil2p8(s55) | (~until2p7(s55)))),
% 2.66/2.18 inference(quant_inst,[status(thm)],[])).
% 2.66/2.18 tff(10598,plain,
% 2.66/2.18 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s55) | xuntil2p8(s55) | (~until2p7(s55))),
% 2.66/2.18 inference(modus_ponens,[status(thm)],[10597, 10596])).
% 2.66/2.18 tff(10599,plain,
% 2.66/2.18 (xuntil2p8(s55) | (~until2p7(s55))),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10598, 8293, 10595])).
% 2.66/2.18 tff(10600,plain,
% 2.66/2.18 (~until2p7(s55)),
% 2.66/2.18 inference(unit_resolution,[status(thm)],[10599, 10593])).
% 2.66/2.18 tff(10601,plain,
% 2.66/2.18 (((~![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)))),
% 2.66/2.18 inference(rewrite,[status(thm)],[])).
% 2.66/2.18 tff(10602,plain,
% 2.66/2.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s54, s55)) | until2p7(s55) | (~xuntil2p8(s54)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10603,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s54, s55)) | until2p7(s55) | (~xuntil2p8(s54))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10602, 10601])).
% 2.66/2.19 tff(10604,plain,
% 2.66/2.19 (until2p7(s55) | (~xuntil2p8(s54))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10603, 6308, 8308])).
% 2.66/2.19 tff(10605,plain,
% 2.66/2.19 (~xuntil2p8(s54)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10604, 10600])).
% 2.66/2.19 tff(10606,plain,
% 2.66/2.19 (~always3(s54)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[6316, 10594])).
% 2.66/2.19 tff(10607,plain,
% 2.66/2.19 (~node4(s54)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[7289, 113, 10606])).
% 2.66/2.19 tff(10608,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10609,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s54) | xuntil2p8(s54) | (~until2p7(s54)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10610,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s54) | xuntil2p8(s54) | (~until2p7(s54))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10609, 10608])).
% 2.66/2.19 tff(10611,plain,
% 2.66/2.19 (xuntil2p8(s54) | (~until2p7(s54))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10610, 8293, 10607])).
% 2.66/2.19 tff(10612,plain,
% 2.66/2.19 (~until2p7(s54)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10611, 10605])).
% 2.66/2.19 tff(10613,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10614,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s53, s54)) | until2p7(s54) | (~xuntil2p8(s53)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10615,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s53, s54)) | until2p7(s54) | (~xuntil2p8(s53))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10614, 10613])).
% 2.66/2.19 tff(10616,plain,
% 2.66/2.19 (until2p7(s54) | (~xuntil2p8(s53))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10615, 6320, 8308])).
% 2.66/2.19 tff(10617,plain,
% 2.66/2.19 (~xuntil2p8(s53)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10616, 10612])).
% 2.66/2.19 tff(10618,plain,
% 2.66/2.19 (~always3(s53)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[6328, 10606])).
% 2.66/2.19 tff(10619,plain,
% 2.66/2.19 (~node4(s53)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[7272, 113, 10618])).
% 2.66/2.19 tff(10620,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10621,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s53) | xuntil2p8(s53) | (~until2p7(s53)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10622,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s53) | xuntil2p8(s53) | (~until2p7(s53))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10621, 10620])).
% 2.66/2.19 tff(10623,plain,
% 2.66/2.19 (xuntil2p8(s53) | (~until2p7(s53))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10622, 8293, 10619])).
% 2.66/2.19 tff(10624,plain,
% 2.66/2.19 (~until2p7(s53)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10623, 10617])).
% 2.66/2.19 tff(10625,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10626,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s52, s53)) | until2p7(s53) | (~xuntil2p8(s52)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10627,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s52, s53)) | until2p7(s53) | (~xuntil2p8(s52))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10626, 10625])).
% 2.66/2.19 tff(10628,plain,
% 2.66/2.19 (until2p7(s53) | (~xuntil2p8(s52))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10627, 6332, 8308])).
% 2.66/2.19 tff(10629,plain,
% 2.66/2.19 (~xuntil2p8(s52)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10628, 10624])).
% 2.66/2.19 tff(10630,plain,
% 2.66/2.19 (~always3(s52)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[6340, 10618])).
% 2.66/2.19 tff(10631,plain,
% 2.66/2.19 (~node4(s52)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[7255, 113, 10630])).
% 2.66/2.19 tff(10632,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10633,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s52) | xuntil2p8(s52) | (~until2p7(s52)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10634,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s52) | xuntil2p8(s52) | (~until2p7(s52))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10633, 10632])).
% 2.66/2.19 tff(10635,plain,
% 2.66/2.19 (xuntil2p8(s52) | (~until2p7(s52))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10634, 8293, 10631])).
% 2.66/2.19 tff(10636,plain,
% 2.66/2.19 (~until2p7(s52)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10635, 10629])).
% 2.66/2.19 tff(10637,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10638,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s51, s52)) | until2p7(s52) | (~xuntil2p8(s51)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10639,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s51, s52)) | until2p7(s52) | (~xuntil2p8(s51))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10638, 10637])).
% 2.66/2.19 tff(10640,plain,
% 2.66/2.19 (until2p7(s52) | (~xuntil2p8(s51))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10639, 6344, 8308])).
% 2.66/2.19 tff(10641,plain,
% 2.66/2.19 (~xuntil2p8(s51)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10640, 10636])).
% 2.66/2.19 tff(10642,plain,
% 2.66/2.19 (~always3(s51)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[6352, 10630])).
% 2.66/2.19 tff(10643,plain,
% 2.66/2.19 (~node4(s51)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[7238, 113, 10642])).
% 2.66/2.19 tff(10644,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10645,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s51) | xuntil2p8(s51) | (~until2p7(s51)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10646,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s51) | xuntil2p8(s51) | (~until2p7(s51))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10645, 10644])).
% 2.66/2.19 tff(10647,plain,
% 2.66/2.19 (xuntil2p8(s51) | (~until2p7(s51))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10646, 8293, 10643])).
% 2.66/2.19 tff(10648,plain,
% 2.66/2.19 (~until2p7(s51)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10647, 10641])).
% 2.66/2.19 tff(10649,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10650,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s50, s51)) | until2p7(s51) | (~xuntil2p8(s50)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10651,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s50, s51)) | until2p7(s51) | (~xuntil2p8(s50))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10650, 10649])).
% 2.66/2.19 tff(10652,plain,
% 2.66/2.19 (until2p7(s51) | (~xuntil2p8(s50))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10651, 6356, 8308])).
% 2.66/2.19 tff(10653,plain,
% 2.66/2.19 (~xuntil2p8(s50)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10652, 10648])).
% 2.66/2.19 tff(10654,plain,
% 2.66/2.19 (~always3(s50)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[6364, 10642])).
% 2.66/2.19 tff(10655,plain,
% 2.66/2.19 (~node4(s50)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[7221, 113, 10654])).
% 2.66/2.19 tff(10656,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10657,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s50) | xuntil2p8(s50) | (~until2p7(s50)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10658,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s50) | xuntil2p8(s50) | (~until2p7(s50))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10657, 10656])).
% 2.66/2.19 tff(10659,plain,
% 2.66/2.19 (xuntil2p8(s50) | (~until2p7(s50))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10658, 8293, 10655])).
% 2.66/2.19 tff(10660,plain,
% 2.66/2.19 (~until2p7(s50)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10659, 10653])).
% 2.66/2.19 tff(10661,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10662,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s49, s50)) | until2p7(s50) | (~xuntil2p8(s49)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10663,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s49, s50)) | until2p7(s50) | (~xuntil2p8(s49))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10662, 10661])).
% 2.66/2.19 tff(10664,plain,
% 2.66/2.19 (until2p7(s50) | (~xuntil2p8(s49))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10663, 6368, 8308])).
% 2.66/2.19 tff(10665,plain,
% 2.66/2.19 (~xuntil2p8(s49)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10664, 10660])).
% 2.66/2.19 tff(10666,plain,
% 2.66/2.19 (~always3(s49)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[6376, 10654])).
% 2.66/2.19 tff(10667,plain,
% 2.66/2.19 (~node4(s49)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[7204, 113, 10666])).
% 2.66/2.19 tff(10668,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10669,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s49) | xuntil2p8(s49) | (~until2p7(s49)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10670,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s49) | xuntil2p8(s49) | (~until2p7(s49))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10669, 10668])).
% 2.66/2.19 tff(10671,plain,
% 2.66/2.19 (xuntil2p8(s49) | (~until2p7(s49))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10670, 8293, 10667])).
% 2.66/2.19 tff(10672,plain,
% 2.66/2.19 (~until2p7(s49)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10671, 10665])).
% 2.66/2.19 tff(10673,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10674,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s48, s49)) | until2p7(s49) | (~xuntil2p8(s48)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10675,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s48, s49)) | until2p7(s49) | (~xuntil2p8(s48))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10674, 10673])).
% 2.66/2.19 tff(10676,plain,
% 2.66/2.19 (until2p7(s49) | (~xuntil2p8(s48))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10675, 6380, 8308])).
% 2.66/2.19 tff(10677,plain,
% 2.66/2.19 (~xuntil2p8(s48)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10676, 10672])).
% 2.66/2.19 tff(10678,plain,
% 2.66/2.19 (~always3(s48)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[6388, 10666])).
% 2.66/2.19 tff(10679,plain,
% 2.66/2.19 (~node4(s48)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[7187, 113, 10678])).
% 2.66/2.19 tff(10680,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10681,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s48) | xuntil2p8(s48) | (~until2p7(s48)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10682,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s48) | xuntil2p8(s48) | (~until2p7(s48))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10681, 10680])).
% 2.66/2.19 tff(10683,plain,
% 2.66/2.19 (xuntil2p8(s48) | (~until2p7(s48))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10682, 8293, 10679])).
% 2.66/2.19 tff(10684,plain,
% 2.66/2.19 (~until2p7(s48)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10683, 10677])).
% 2.66/2.19 tff(10685,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10686,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s47, s48)) | until2p7(s48) | (~xuntil2p8(s47)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10687,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s47, s48)) | until2p7(s48) | (~xuntil2p8(s47))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10686, 10685])).
% 2.66/2.19 tff(10688,plain,
% 2.66/2.19 (until2p7(s48) | (~xuntil2p8(s47))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10687, 6392, 8308])).
% 2.66/2.19 tff(10689,plain,
% 2.66/2.19 (~xuntil2p8(s47)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10688, 10684])).
% 2.66/2.19 tff(10690,plain,
% 2.66/2.19 (~always3(s47)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[6400, 10678])).
% 2.66/2.19 tff(10691,plain,
% 2.66/2.19 (~node4(s47)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[7170, 113, 10690])).
% 2.66/2.19 tff(10692,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10693,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s47) | xuntil2p8(s47) | (~until2p7(s47)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10694,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s47) | xuntil2p8(s47) | (~until2p7(s47))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10693, 10692])).
% 2.66/2.19 tff(10695,plain,
% 2.66/2.19 (xuntil2p8(s47) | (~until2p7(s47))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10694, 8293, 10691])).
% 2.66/2.19 tff(10696,plain,
% 2.66/2.19 (~until2p7(s47)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10695, 10689])).
% 2.66/2.19 tff(10697,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10698,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s46, s47)) | until2p7(s47) | (~xuntil2p8(s46)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10699,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s46, s47)) | until2p7(s47) | (~xuntil2p8(s46))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10698, 10697])).
% 2.66/2.19 tff(10700,plain,
% 2.66/2.19 (until2p7(s47) | (~xuntil2p8(s46))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10699, 6404, 8308])).
% 2.66/2.19 tff(10701,plain,
% 2.66/2.19 (~xuntil2p8(s46)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10700, 10696])).
% 2.66/2.19 tff(10702,plain,
% 2.66/2.19 (~always3(s46)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[6412, 10690])).
% 2.66/2.19 tff(10703,plain,
% 2.66/2.19 (~node4(s46)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[7153, 113, 10702])).
% 2.66/2.19 tff(10704,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10705,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s46) | xuntil2p8(s46) | (~until2p7(s46)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10706,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s46) | xuntil2p8(s46) | (~until2p7(s46))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10705, 10704])).
% 2.66/2.19 tff(10707,plain,
% 2.66/2.19 (xuntil2p8(s46) | (~until2p7(s46))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10706, 8293, 10703])).
% 2.66/2.19 tff(10708,plain,
% 2.66/2.19 (~until2p7(s46)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10707, 10701])).
% 2.66/2.19 tff(10709,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10710,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s45, s46)) | until2p7(s46) | (~xuntil2p8(s45)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10711,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s45, s46)) | until2p7(s46) | (~xuntil2p8(s45))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10710, 10709])).
% 2.66/2.19 tff(10712,plain,
% 2.66/2.19 (until2p7(s46) | (~xuntil2p8(s45))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10711, 6416, 8308])).
% 2.66/2.19 tff(10713,plain,
% 2.66/2.19 (~xuntil2p8(s45)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10712, 10708])).
% 2.66/2.19 tff(10714,plain,
% 2.66/2.19 (~always3(s45)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[6424, 10702])).
% 2.66/2.19 tff(10715,plain,
% 2.66/2.19 (~node4(s45)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[7136, 113, 10714])).
% 2.66/2.19 tff(10716,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10717,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s45) | xuntil2p8(s45) | (~until2p7(s45)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10718,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s45) | xuntil2p8(s45) | (~until2p7(s45))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10717, 10716])).
% 2.66/2.19 tff(10719,plain,
% 2.66/2.19 (xuntil2p8(s45) | (~until2p7(s45))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10718, 8293, 10715])).
% 2.66/2.19 tff(10720,plain,
% 2.66/2.19 (~until2p7(s45)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10719, 10713])).
% 2.66/2.19 tff(10721,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10722,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s44, s45)) | until2p7(s45) | (~xuntil2p8(s44)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10723,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s44, s45)) | until2p7(s45) | (~xuntil2p8(s44))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10722, 10721])).
% 2.66/2.19 tff(10724,plain,
% 2.66/2.19 (until2p7(s45) | (~xuntil2p8(s44))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10723, 6428, 8308])).
% 2.66/2.19 tff(10725,plain,
% 2.66/2.19 (~xuntil2p8(s44)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10724, 10720])).
% 2.66/2.19 tff(10726,plain,
% 2.66/2.19 (~always3(s44)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[6436, 10714])).
% 2.66/2.19 tff(10727,plain,
% 2.66/2.19 (~node4(s44)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[7119, 113, 10726])).
% 2.66/2.19 tff(10728,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10729,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s44) | xuntil2p8(s44) | (~until2p7(s44)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10730,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s44) | xuntil2p8(s44) | (~until2p7(s44))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10729, 10728])).
% 2.66/2.19 tff(10731,plain,
% 2.66/2.19 (xuntil2p8(s44) | (~until2p7(s44))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10730, 8293, 10727])).
% 2.66/2.19 tff(10732,plain,
% 2.66/2.19 (~until2p7(s44)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10731, 10725])).
% 2.66/2.19 tff(10733,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10734,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s43, s44)) | until2p7(s44) | (~xuntil2p8(s43)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10735,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s43, s44)) | until2p7(s44) | (~xuntil2p8(s43))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10734, 10733])).
% 2.66/2.19 tff(10736,plain,
% 2.66/2.19 (until2p7(s44) | (~xuntil2p8(s43))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10735, 73, 8308])).
% 2.66/2.19 tff(10737,plain,
% 2.66/2.19 (~xuntil2p8(s43)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10736, 10732])).
% 2.66/2.19 tff(10738,plain,
% 2.66/2.19 (~always3(s43)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[81, 10726])).
% 2.66/2.19 tff(10739,plain,
% 2.66/2.19 (~node4(s43)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[7102, 113, 10738])).
% 2.66/2.19 tff(10740,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10741,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s43) | xuntil2p8(s43) | (~until2p7(s43)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10742,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s43) | xuntil2p8(s43) | (~until2p7(s43))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10741, 10740])).
% 2.66/2.19 tff(10743,plain,
% 2.66/2.19 (xuntil2p8(s43) | (~until2p7(s43))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10742, 8293, 10739])).
% 2.66/2.19 tff(10744,plain,
% 2.66/2.19 (~until2p7(s43)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10743, 10737])).
% 2.66/2.19 tff(10745,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10746,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s42, s43)) | until2p7(s43) | (~xuntil2p8(s42)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10747,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s42, s43)) | until2p7(s43) | (~xuntil2p8(s42))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10746, 10745])).
% 2.66/2.19 tff(10748,plain,
% 2.66/2.19 (until2p7(s43) | (~xuntil2p8(s42))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10747, 85, 8308])).
% 2.66/2.19 tff(10749,plain,
% 2.66/2.19 (~xuntil2p8(s42)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10748, 10744])).
% 2.66/2.19 tff(10750,plain,
% 2.66/2.19 (~always3(s42)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[93, 10738])).
% 2.66/2.19 tff(10751,plain,
% 2.66/2.19 (~node4(s42)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[3202, 113, 10750])).
% 2.66/2.19 tff(10752,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10753,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s42) | xuntil2p8(s42) | (~until2p7(s42)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10754,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s42) | xuntil2p8(s42) | (~until2p7(s42))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10753, 10752])).
% 2.66/2.19 tff(10755,plain,
% 2.66/2.19 (xuntil2p8(s42) | (~until2p7(s42))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10754, 8293, 10751])).
% 2.66/2.19 tff(10756,plain,
% 2.66/2.19 (~until2p7(s42)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10755, 10749])).
% 2.66/2.19 tff(10757,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10758,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s41, s42)) | until2p7(s42) | (~xuntil2p8(s41)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10759,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s41, s42)) | until2p7(s42) | (~xuntil2p8(s41))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10758, 10757])).
% 2.66/2.19 tff(10760,plain,
% 2.66/2.19 (until2p7(s42) | (~xuntil2p8(s41))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10759, 97, 8308])).
% 2.66/2.19 tff(10761,plain,
% 2.66/2.19 (~xuntil2p8(s41)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10760, 10756])).
% 2.66/2.19 tff(10762,plain,
% 2.66/2.19 (~always3(s41)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[105, 10750])).
% 2.66/2.19 tff(10763,plain,
% 2.66/2.19 (~node4(s41)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[116, 113, 10762])).
% 2.66/2.19 tff(10764,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10765,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s41) | xuntil2p8(s41) | (~until2p7(s41)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10766,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s41) | xuntil2p8(s41) | (~until2p7(s41))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10765, 10764])).
% 2.66/2.19 tff(10767,plain,
% 2.66/2.19 (xuntil2p8(s41) | (~until2p7(s41))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10766, 8293, 10763])).
% 2.66/2.19 tff(10768,plain,
% 2.66/2.19 (~until2p7(s41)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10767, 10761])).
% 2.66/2.19 tff(10769,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10770,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s40, s41)) | until2p7(s41) | (~xuntil2p8(s40)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10771,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s40, s41)) | until2p7(s41) | (~xuntil2p8(s40))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10770, 10769])).
% 2.66/2.19 tff(10772,plain,
% 2.66/2.19 (until2p7(s41) | (~xuntil2p8(s40))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10771, 129, 8308])).
% 2.66/2.19 tff(10773,plain,
% 2.66/2.19 (~xuntil2p8(s40)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10772, 10768])).
% 2.66/2.19 tff(10774,plain,
% 2.66/2.19 (~always3(s40)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[137, 10762])).
% 2.66/2.19 tff(10775,plain,
% 2.66/2.19 (~node4(s40)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[125, 113, 10774])).
% 2.66/2.19 tff(10776,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10777,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s40) | xuntil2p8(s40) | (~until2p7(s40)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10778,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s40) | xuntil2p8(s40) | (~until2p7(s40))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10777, 10776])).
% 2.66/2.19 tff(10779,plain,
% 2.66/2.19 (xuntil2p8(s40) | (~until2p7(s40))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10778, 8293, 10775])).
% 2.66/2.19 tff(10780,plain,
% 2.66/2.19 (~until2p7(s40)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10779, 10773])).
% 2.66/2.19 tff(10781,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10782,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s39, s40)) | until2p7(s40) | (~xuntil2p8(s39)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10783,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s39, s40)) | until2p7(s40) | (~xuntil2p8(s39))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10782, 10781])).
% 2.66/2.19 tff(10784,plain,
% 2.66/2.19 (until2p7(s40) | (~xuntil2p8(s39))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10783, 3135, 8308])).
% 2.66/2.19 tff(10785,plain,
% 2.66/2.19 (~xuntil2p8(s39)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10784, 10780])).
% 2.66/2.19 tff(10786,plain,
% 2.66/2.19 (~always3(s39)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[3143, 10774])).
% 2.66/2.19 tff(10787,plain,
% 2.66/2.19 (~node4(s39)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[3131, 113, 10786])).
% 2.66/2.19 tff(10788,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10789,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s39) | xuntil2p8(s39) | (~until2p7(s39)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10790,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s39) | xuntil2p8(s39) | (~until2p7(s39))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10789, 10788])).
% 2.66/2.19 tff(10791,plain,
% 2.66/2.19 (xuntil2p8(s39) | (~until2p7(s39))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10790, 8293, 10787])).
% 2.66/2.19 tff(10792,plain,
% 2.66/2.19 (~until2p7(s39)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10791, 10785])).
% 2.66/2.19 tff(10793,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10794,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s38, s39)) | until2p7(s39) | (~xuntil2p8(s38)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10795,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s38, s39)) | until2p7(s39) | (~xuntil2p8(s38))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10794, 10793])).
% 2.66/2.19 tff(10796,plain,
% 2.66/2.19 (until2p7(s39) | (~xuntil2p8(s38))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10795, 2691, 8308])).
% 2.66/2.19 tff(10797,plain,
% 2.66/2.19 (~xuntil2p8(s38)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10796, 10792])).
% 2.66/2.19 tff(10798,plain,
% 2.66/2.19 (~always3(s38)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[2699, 10786])).
% 2.66/2.19 tff(10799,plain,
% 2.66/2.19 (~node4(s38)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[2678, 113, 10798])).
% 2.66/2.19 tff(10800,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10801,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s38) | xuntil2p8(s38) | (~until2p7(s38)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10802,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s38) | xuntil2p8(s38) | (~until2p7(s38))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10801, 10800])).
% 2.66/2.19 tff(10803,plain,
% 2.66/2.19 (xuntil2p8(s38) | (~until2p7(s38))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10802, 8293, 10799])).
% 2.66/2.19 tff(10804,plain,
% 2.66/2.19 (~until2p7(s38)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10803, 10797])).
% 2.66/2.19 tff(10805,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10806,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s37, s38)) | until2p7(s38) | (~xuntil2p8(s37)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10807,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s37, s38)) | until2p7(s38) | (~xuntil2p8(s37))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10806, 10805])).
% 2.66/2.19 tff(10808,plain,
% 2.66/2.19 (until2p7(s38) | (~xuntil2p8(s37))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10807, 2367, 8308])).
% 2.66/2.19 tff(10809,plain,
% 2.66/2.19 (~xuntil2p8(s37)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10808, 10804])).
% 2.66/2.19 tff(10810,plain,
% 2.66/2.19 (~always3(s37)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[2375, 10798])).
% 2.66/2.19 tff(10811,plain,
% 2.66/2.19 (~node4(s37)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[2475, 113, 10810])).
% 2.66/2.19 tff(10812,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10813,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s37) | xuntil2p8(s37) | (~until2p7(s37)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10814,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s37) | xuntil2p8(s37) | (~until2p7(s37))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10813, 10812])).
% 2.66/2.19 tff(10815,plain,
% 2.66/2.19 (xuntil2p8(s37) | (~until2p7(s37))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10814, 8293, 10811])).
% 2.66/2.19 tff(10816,plain,
% 2.66/2.19 (~until2p7(s37)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10815, 10809])).
% 2.66/2.19 tff(10817,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10818,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s36, s37)) | until2p7(s37) | (~xuntil2p8(s36)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10819,plain,
% 2.66/2.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s36, s37)) | until2p7(s37) | (~xuntil2p8(s36))),
% 2.66/2.19 inference(modus_ponens,[status(thm)],[10818, 10817])).
% 2.66/2.19 tff(10820,plain,
% 2.66/2.19 (until2p7(s37) | (~xuntil2p8(s36))),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10819, 2379, 8308])).
% 2.66/2.19 tff(10821,plain,
% 2.66/2.19 (~xuntil2p8(s36)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[10820, 10816])).
% 2.66/2.19 tff(10822,plain,
% 2.66/2.19 (~always3(s36)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[2387, 10810])).
% 2.66/2.19 tff(10823,plain,
% 2.66/2.19 (~node4(s36)),
% 2.66/2.19 inference(unit_resolution,[status(thm)],[2471, 113, 10822])).
% 2.66/2.19 tff(10824,plain,
% 2.66/2.19 (((~![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)))),
% 2.66/2.19 inference(rewrite,[status(thm)],[])).
% 2.66/2.19 tff(10825,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s36) | xuntil2p8(s36) | (~until2p7(s36)))),
% 2.66/2.19 inference(quant_inst,[status(thm)],[])).
% 2.66/2.19 tff(10826,plain,
% 2.66/2.19 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s36) | xuntil2p8(s36) | (~until2p7(s36))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10825, 10824])).
% 2.66/2.20 tff(10827,plain,
% 2.66/2.20 (xuntil2p8(s36) | (~until2p7(s36))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10826, 8293, 10823])).
% 2.66/2.20 tff(10828,plain,
% 2.66/2.20 (~until2p7(s36)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10827, 10821])).
% 2.66/2.20 tff(10829,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10830,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s35, s36)) | until2p7(s36) | (~xuntil2p8(s35)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10831,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s35, s36)) | until2p7(s36) | (~xuntil2p8(s35))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10830, 10829])).
% 2.66/2.20 tff(10832,plain,
% 2.66/2.20 (until2p7(s36) | (~xuntil2p8(s35))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10831, 2391, 8308])).
% 2.66/2.20 tff(10833,plain,
% 2.66/2.20 (~xuntil2p8(s35)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10832, 10828])).
% 2.66/2.20 tff(10834,plain,
% 2.66/2.20 (~always3(s35)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[2399, 10822])).
% 2.66/2.20 tff(10835,plain,
% 2.66/2.20 (~node4(s35)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[2506, 113, 10834])).
% 2.66/2.20 tff(10836,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10837,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s35) | xuntil2p8(s35) | (~until2p7(s35)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10838,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s35) | xuntil2p8(s35) | (~until2p7(s35))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10837, 10836])).
% 2.66/2.20 tff(10839,plain,
% 2.66/2.20 (xuntil2p8(s35) | (~until2p7(s35))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10838, 8293, 10835])).
% 2.66/2.20 tff(10840,plain,
% 2.66/2.20 (~until2p7(s35)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10839, 10833])).
% 2.66/2.20 tff(10841,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10842,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s34, s35)) | until2p7(s35) | (~xuntil2p8(s34)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10843,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s34, s35)) | until2p7(s35) | (~xuntil2p8(s34))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10842, 10841])).
% 2.66/2.20 tff(10844,plain,
% 2.66/2.20 (until2p7(s35) | (~xuntil2p8(s34))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10843, 2403, 8308])).
% 2.66/2.20 tff(10845,plain,
% 2.66/2.20 (~xuntil2p8(s34)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10844, 10840])).
% 2.66/2.20 tff(10846,plain,
% 2.66/2.20 (~always3(s34)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[2411, 10834])).
% 2.66/2.20 tff(10847,plain,
% 2.66/2.20 (~node4(s34)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[2524, 113, 10846])).
% 2.66/2.20 tff(10848,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10849,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s34) | xuntil2p8(s34) | (~until2p7(s34)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10850,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s34) | xuntil2p8(s34) | (~until2p7(s34))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10849, 10848])).
% 2.66/2.20 tff(10851,plain,
% 2.66/2.20 (xuntil2p8(s34) | (~until2p7(s34))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10850, 8293, 10847])).
% 2.66/2.20 tff(10852,plain,
% 2.66/2.20 (~until2p7(s34)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10851, 10845])).
% 2.66/2.20 tff(10853,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10854,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s33, s34)) | until2p7(s34) | (~xuntil2p8(s33)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10855,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s33, s34)) | until2p7(s34) | (~xuntil2p8(s33))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10854, 10853])).
% 2.66/2.20 tff(10856,plain,
% 2.66/2.20 (until2p7(s34) | (~xuntil2p8(s33))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10855, 2415, 8308])).
% 2.66/2.20 tff(10857,plain,
% 2.66/2.20 (~xuntil2p8(s33)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10856, 10852])).
% 2.66/2.20 tff(10858,plain,
% 2.66/2.20 (~always3(s33)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[2423, 10846])).
% 2.66/2.20 tff(10859,plain,
% 2.66/2.20 (~node4(s33)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[2542, 113, 10858])).
% 2.66/2.20 tff(10860,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10861,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s33) | xuntil2p8(s33) | (~until2p7(s33)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10862,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s33) | xuntil2p8(s33) | (~until2p7(s33))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10861, 10860])).
% 2.66/2.20 tff(10863,plain,
% 2.66/2.20 (xuntil2p8(s33) | (~until2p7(s33))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10862, 8293, 10859])).
% 2.66/2.20 tff(10864,plain,
% 2.66/2.20 (~until2p7(s33)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10863, 10857])).
% 2.66/2.20 tff(10865,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10866,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s32, s33)) | until2p7(s33) | (~xuntil2p8(s32)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10867,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s32, s33)) | until2p7(s33) | (~xuntil2p8(s32))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10866, 10865])).
% 2.66/2.20 tff(10868,plain,
% 2.66/2.20 (until2p7(s33) | (~xuntil2p8(s32))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10867, 2427, 8308])).
% 2.66/2.20 tff(10869,plain,
% 2.66/2.20 (~xuntil2p8(s32)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10868, 10864])).
% 2.66/2.20 tff(10870,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10871,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s32) | xuntil2p8(s32) | (~until2p7(s32)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10872,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s32) | xuntil2p8(s32) | (~until2p7(s32))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10871, 10870])).
% 2.66/2.20 tff(10873,plain,
% 2.66/2.20 (xuntil2p8(s32) | (~until2p7(s32))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10872, 8293, 2888])).
% 2.66/2.20 tff(10874,plain,
% 2.66/2.20 (~until2p7(s32)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10873, 10869])).
% 2.66/2.20 tff(10875,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10876,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s31, s32)) | until2p7(s32) | (~xuntil2p8(s31)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10877,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s31, s32)) | until2p7(s32) | (~xuntil2p8(s31))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10876, 10875])).
% 2.66/2.20 tff(10878,plain,
% 2.66/2.20 (until2p7(s32) | (~xuntil2p8(s31))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10877, 2439, 8308])).
% 2.66/2.20 tff(10879,plain,
% 2.66/2.20 (~xuntil2p8(s31)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10878, 10874])).
% 2.66/2.20 tff(10880,plain,
% 2.66/2.20 (~always3(s32)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[2435, 10858])).
% 2.66/2.20 tff(10881,plain,
% 2.66/2.20 (~always3(s31)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[2447, 10880])).
% 2.66/2.20 tff(10882,plain,
% 2.66/2.20 (~node4(s31)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[2578, 113, 10881])).
% 2.66/2.20 tff(10883,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10884,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s31) | xuntil2p8(s31) | (~until2p7(s31)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10885,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s31) | xuntil2p8(s31) | (~until2p7(s31))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10884, 10883])).
% 2.66/2.20 tff(10886,plain,
% 2.66/2.20 (xuntil2p8(s31) | (~until2p7(s31))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10885, 8293, 10882])).
% 2.66/2.20 tff(10887,plain,
% 2.66/2.20 (~until2p7(s31)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10886, 10879])).
% 2.66/2.20 tff(10888,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10889,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s30, s31)) | until2p7(s31) | (~xuntil2p8(s30)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10890,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s30, s31)) | until2p7(s31) | (~xuntil2p8(s30))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10889, 10888])).
% 2.66/2.20 tff(10891,plain,
% 2.66/2.20 (until2p7(s31) | (~xuntil2p8(s30))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10890, 2318, 8308])).
% 2.66/2.20 tff(10892,plain,
% 2.66/2.20 (~xuntil2p8(s30)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10891, 10887])).
% 2.66/2.20 tff(10893,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10894,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s30) | xuntil2p8(s30) | (~until2p7(s30)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10895,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s30) | xuntil2p8(s30) | (~until2p7(s30))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10894, 10893])).
% 2.66/2.20 tff(10896,plain,
% 2.66/2.20 (xuntil2p8(s30) | (~until2p7(s30))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10895, 8293, 2349])).
% 2.66/2.20 tff(10897,plain,
% 2.66/2.20 (~until2p7(s30)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10896, 10892])).
% 2.66/2.20 tff(10898,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10899,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s29, s30)) | until2p7(s30) | (~xuntil2p8(s29)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10900,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s29, s30)) | until2p7(s30) | (~xuntil2p8(s29))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10899, 10898])).
% 2.66/2.20 tff(10901,plain,
% 2.66/2.20 (until2p7(s30) | (~xuntil2p8(s29))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10900, 2221, 8308])).
% 2.66/2.20 tff(10902,plain,
% 2.66/2.20 (~xuntil2p8(s29)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10901, 10897])).
% 2.66/2.20 tff(10903,plain,
% 2.66/2.20 (~always3(s30)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[2326, 10881])).
% 2.66/2.20 tff(10904,plain,
% 2.66/2.20 (~always3(s29)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[2229, 10903])).
% 2.66/2.20 tff(10905,plain,
% 2.66/2.20 (~node4(s29)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[2217, 113, 10904])).
% 2.66/2.20 tff(10906,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10907,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s29) | xuntil2p8(s29) | (~until2p7(s29)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10908,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s29) | xuntil2p8(s29) | (~until2p7(s29))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10907, 10906])).
% 2.66/2.20 tff(10909,plain,
% 2.66/2.20 (xuntil2p8(s29) | (~until2p7(s29))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10908, 8293, 10905])).
% 2.66/2.20 tff(10910,plain,
% 2.66/2.20 (~until2p7(s29)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10909, 10902])).
% 2.66/2.20 tff(10911,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10912,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s28, s29)) | until2p7(s29) | (~xuntil2p8(s28)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10913,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s28, s29)) | until2p7(s29) | (~xuntil2p8(s28))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10912, 10911])).
% 2.66/2.20 tff(10914,plain,
% 2.66/2.20 (until2p7(s29) | (~xuntil2p8(s28))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10913, 2165, 8308])).
% 2.66/2.20 tff(10915,plain,
% 2.66/2.20 (~xuntil2p8(s28)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10914, 10910])).
% 2.66/2.20 tff(10916,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10917,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s28) | xuntil2p8(s28) | (~until2p7(s28)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10918,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s28) | xuntil2p8(s28) | (~until2p7(s28))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10917, 10916])).
% 2.66/2.20 tff(10919,plain,
% 2.66/2.20 (xuntil2p8(s28) | (~until2p7(s28))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10918, 8293, 2196])).
% 2.66/2.20 tff(10920,plain,
% 2.66/2.20 (~until2p7(s28)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10919, 10915])).
% 2.66/2.20 tff(10921,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10922,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s27, s28)) | until2p7(s28) | (~xuntil2p8(s27)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10923,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s27, s28)) | until2p7(s28) | (~xuntil2p8(s27))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10922, 10921])).
% 2.66/2.20 tff(10924,plain,
% 2.66/2.20 (until2p7(s28) | (~xuntil2p8(s27))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10923, 2073, 8308])).
% 2.66/2.20 tff(10925,plain,
% 2.66/2.20 (~xuntil2p8(s27)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10924, 10920])).
% 2.66/2.20 tff(10926,plain,
% 2.66/2.20 (~always3(s28)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[2173, 10904])).
% 2.66/2.20 tff(10927,plain,
% 2.66/2.20 (~always3(s27)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[2081, 10926])).
% 2.66/2.20 tff(10928,plain,
% 2.66/2.20 (~node4(s27)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[2001, 113, 10927])).
% 2.66/2.20 tff(10929,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10930,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s27) | xuntil2p8(s27) | (~until2p7(s27)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10931,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s27) | xuntil2p8(s27) | (~until2p7(s27))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10930, 10929])).
% 2.66/2.20 tff(10932,plain,
% 2.66/2.20 (xuntil2p8(s27) | (~until2p7(s27))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10931, 8293, 10928])).
% 2.66/2.20 tff(10933,plain,
% 2.66/2.20 (~until2p7(s27)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10932, 10925])).
% 2.66/2.20 tff(10934,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10935,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s26, s27)) | until2p7(s27) | (~xuntil2p8(s26)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10936,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s26, s27)) | until2p7(s27) | (~xuntil2p8(s26))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10935, 10934])).
% 2.66/2.20 tff(10937,plain,
% 2.66/2.20 (until2p7(s27) | (~xuntil2p8(s26))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10936, 1985, 8308])).
% 2.66/2.20 tff(10938,plain,
% 2.66/2.20 (~xuntil2p8(s26)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10937, 10933])).
% 2.66/2.20 tff(10939,plain,
% 2.66/2.20 (~always3(s26)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1993, 10927])).
% 2.66/2.20 tff(10940,plain,
% 2.66/2.20 (~node4(s26)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1997, 113, 10939])).
% 2.66/2.20 tff(10941,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10942,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s26) | xuntil2p8(s26) | (~until2p7(s26)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10943,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s26) | xuntil2p8(s26) | (~until2p7(s26))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10942, 10941])).
% 2.66/2.20 tff(10944,plain,
% 2.66/2.20 (xuntil2p8(s26) | (~until2p7(s26))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10943, 8293, 10940])).
% 2.66/2.20 tff(10945,plain,
% 2.66/2.20 (~until2p7(s26)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10944, 10938])).
% 2.66/2.20 tff(10946,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10947,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s25, s26)) | until2p7(s26) | (~xuntil2p8(s25)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10948,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s25, s26)) | until2p7(s26) | (~xuntil2p8(s25))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10947, 10946])).
% 2.66/2.20 tff(10949,plain,
% 2.66/2.20 (until2p7(s26) | (~xuntil2p8(s25))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10948, 1865, 8308])).
% 2.66/2.20 tff(10950,plain,
% 2.66/2.20 (~xuntil2p8(s25)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10949, 10945])).
% 2.66/2.20 tff(10951,plain,
% 2.66/2.20 (~always3(s25)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1873, 10939])).
% 2.66/2.20 tff(10952,plain,
% 2.66/2.20 (~node4(s25)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1779, 113, 10951])).
% 2.66/2.20 tff(10953,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10954,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s25) | xuntil2p8(s25) | (~until2p7(s25)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10955,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s25) | xuntil2p8(s25) | (~until2p7(s25))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10954, 10953])).
% 2.66/2.20 tff(10956,plain,
% 2.66/2.20 (xuntil2p8(s25) | (~until2p7(s25))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10955, 8293, 10952])).
% 2.66/2.20 tff(10957,plain,
% 2.66/2.20 (~until2p7(s25)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10956, 10950])).
% 2.66/2.20 tff(10958,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10959,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s24, s25)) | until2p7(s25) | (~xuntil2p8(s24)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10960,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s24, s25)) | until2p7(s25) | (~xuntil2p8(s24))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10959, 10958])).
% 2.66/2.20 tff(10961,plain,
% 2.66/2.20 (until2p7(s25) | (~xuntil2p8(s24))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10960, 1763, 8308])).
% 2.66/2.20 tff(10962,plain,
% 2.66/2.20 (~xuntil2p8(s24)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10961, 10957])).
% 2.66/2.20 tff(10963,plain,
% 2.66/2.20 (~always3(s24)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1771, 10951])).
% 2.66/2.20 tff(10964,plain,
% 2.66/2.20 (~node4(s24)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1775, 113, 10963])).
% 2.66/2.20 tff(10965,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10966,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s24) | xuntil2p8(s24) | (~until2p7(s24)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10967,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s24) | xuntil2p8(s24) | (~until2p7(s24))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10966, 10965])).
% 2.66/2.20 tff(10968,plain,
% 2.66/2.20 (xuntil2p8(s24) | (~until2p7(s24))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10967, 8293, 10964])).
% 2.66/2.20 tff(10969,plain,
% 2.66/2.20 (~until2p7(s24)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10968, 10962])).
% 2.66/2.20 tff(10970,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10971,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s23, s24)) | until2p7(s24) | (~xuntil2p8(s23)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10972,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s23, s24)) | until2p7(s24) | (~xuntil2p8(s23))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10971, 10970])).
% 2.66/2.20 tff(10973,plain,
% 2.66/2.20 (until2p7(s24) | (~xuntil2p8(s23))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10972, 1803, 8308])).
% 2.66/2.20 tff(10974,plain,
% 2.66/2.20 (~xuntil2p8(s23)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10973, 10969])).
% 2.66/2.20 tff(10975,plain,
% 2.66/2.20 (~always3(s23)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1816, 10963])).
% 2.66/2.20 tff(10976,plain,
% 2.66/2.20 (~node4(s23)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1820, 113, 10975])).
% 2.66/2.20 tff(10977,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10978,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s23) | xuntil2p8(s23) | (~until2p7(s23)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10979,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s23) | xuntil2p8(s23) | (~until2p7(s23))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10978, 10977])).
% 2.66/2.20 tff(10980,plain,
% 2.66/2.20 (xuntil2p8(s23) | (~until2p7(s23))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10979, 8293, 10976])).
% 2.66/2.20 tff(10981,plain,
% 2.66/2.20 (~until2p7(s23)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10980, 10974])).
% 2.66/2.20 tff(10982,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10983,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s22, s23)) | until2p7(s23) | (~xuntil2p8(s22)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10984,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s22, s23)) | until2p7(s23) | (~xuntil2p8(s22))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10983, 10982])).
% 2.66/2.20 tff(10985,plain,
% 2.66/2.20 (until2p7(s23) | (~xuntil2p8(s22))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10984, 1549, 8308])).
% 2.66/2.20 tff(10986,plain,
% 2.66/2.20 (~xuntil2p8(s22)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10985, 10981])).
% 2.66/2.20 tff(10987,plain,
% 2.66/2.20 (~always3(s22)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1557, 10975])).
% 2.66/2.20 tff(10988,plain,
% 2.66/2.20 (~node4(s22)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1314, 113, 10987])).
% 2.66/2.20 tff(10989,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10990,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s22) | xuntil2p8(s22) | (~until2p7(s22)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10991,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s22) | xuntil2p8(s22) | (~until2p7(s22))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10990, 10989])).
% 2.66/2.20 tff(10992,plain,
% 2.66/2.20 (xuntil2p8(s22) | (~until2p7(s22))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10991, 8293, 10988])).
% 2.66/2.20 tff(10993,plain,
% 2.66/2.20 (~until2p7(s22)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10992, 10986])).
% 2.66/2.20 tff(10994,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(10995,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s21, s22)) | until2p7(s22) | (~xuntil2p8(s21)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(10996,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s21, s22)) | until2p7(s22) | (~xuntil2p8(s21))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[10995, 10994])).
% 2.66/2.20 tff(10997,plain,
% 2.66/2.20 (until2p7(s22) | (~xuntil2p8(s21))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10996, 1298, 8308])).
% 2.66/2.20 tff(10998,plain,
% 2.66/2.20 (~xuntil2p8(s21)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[10997, 10993])).
% 2.66/2.20 tff(10999,plain,
% 2.66/2.20 (~always3(s21)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1306, 10987])).
% 2.66/2.20 tff(11000,plain,
% 2.66/2.20 (~node4(s21)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1310, 113, 10999])).
% 2.66/2.20 tff(11001,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(11002,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s21) | xuntil2p8(s21) | (~until2p7(s21)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(11003,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s21) | xuntil2p8(s21) | (~until2p7(s21))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[11002, 11001])).
% 2.66/2.20 tff(11004,plain,
% 2.66/2.20 (xuntil2p8(s21) | (~until2p7(s21))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11003, 8293, 11000])).
% 2.66/2.20 tff(11005,plain,
% 2.66/2.20 (~until2p7(s21)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11004, 10998])).
% 2.66/2.20 tff(11006,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(11007,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s20, s21)) | until2p7(s21) | (~xuntil2p8(s20)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(11008,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s20, s21)) | until2p7(s21) | (~xuntil2p8(s20))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[11007, 11006])).
% 2.66/2.20 tff(11009,plain,
% 2.66/2.20 (until2p7(s21) | (~xuntil2p8(s20))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11008, 1338, 8308])).
% 2.66/2.20 tff(11010,plain,
% 2.66/2.20 (~xuntil2p8(s20)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11009, 11005])).
% 2.66/2.20 tff(11011,plain,
% 2.66/2.20 (~always3(s20)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1351, 10999])).
% 2.66/2.20 tff(11012,plain,
% 2.66/2.20 (~node4(s20)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1535, 113, 11011])).
% 2.66/2.20 tff(11013,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(11014,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s20) | xuntil2p8(s20) | (~until2p7(s20)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(11015,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s20) | xuntil2p8(s20) | (~until2p7(s20))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[11014, 11013])).
% 2.66/2.20 tff(11016,plain,
% 2.66/2.20 (xuntil2p8(s20) | (~until2p7(s20))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11015, 8293, 11012])).
% 2.66/2.20 tff(11017,plain,
% 2.66/2.20 (~until2p7(s20)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11016, 11010])).
% 2.66/2.20 tff(11018,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(11019,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s19, s20)) | until2p7(s20) | (~xuntil2p8(s19)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(11020,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s19, s20)) | until2p7(s20) | (~xuntil2p8(s19))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[11019, 11018])).
% 2.66/2.20 tff(11021,plain,
% 2.66/2.20 (until2p7(s20) | (~xuntil2p8(s19))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11020, 1355, 8308])).
% 2.66/2.20 tff(11022,plain,
% 2.66/2.20 (~xuntil2p8(s19)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11021, 11017])).
% 2.66/2.20 tff(11023,plain,
% 2.66/2.20 (~always3(s19)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1363, 11011])).
% 2.66/2.20 tff(11024,plain,
% 2.66/2.20 (~node4(s19)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1367, 113, 11023])).
% 2.66/2.20 tff(11025,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(11026,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s19) | xuntil2p8(s19) | (~until2p7(s19)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(11027,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s19) | xuntil2p8(s19) | (~until2p7(s19))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[11026, 11025])).
% 2.66/2.20 tff(11028,plain,
% 2.66/2.20 (xuntil2p8(s19) | (~until2p7(s19))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11027, 8293, 11024])).
% 2.66/2.20 tff(11029,plain,
% 2.66/2.20 (~until2p7(s19)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11028, 11022])).
% 2.66/2.20 tff(11030,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(11031,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s18, s19)) | until2p7(s19) | (~xuntil2p8(s18)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(11032,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s18, s19)) | until2p7(s19) | (~xuntil2p8(s18))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[11031, 11030])).
% 2.66/2.20 tff(11033,plain,
% 2.66/2.20 (until2p7(s19) | (~xuntil2p8(s18))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11032, 1371, 8308])).
% 2.66/2.20 tff(11034,plain,
% 2.66/2.20 (~xuntil2p8(s18)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11033, 11029])).
% 2.66/2.20 tff(11035,plain,
% 2.66/2.20 (~always3(s18)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1379, 11023])).
% 2.66/2.20 tff(11036,plain,
% 2.66/2.20 (~node4(s18)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1383, 113, 11035])).
% 2.66/2.20 tff(11037,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(11038,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s18) | xuntil2p8(s18) | (~until2p7(s18)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(11039,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s18) | xuntil2p8(s18) | (~until2p7(s18))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[11038, 11037])).
% 2.66/2.20 tff(11040,plain,
% 2.66/2.20 (xuntil2p8(s18) | (~until2p7(s18))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11039, 8293, 11036])).
% 2.66/2.20 tff(11041,plain,
% 2.66/2.20 (~until2p7(s18)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11040, 11034])).
% 2.66/2.20 tff(11042,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(11043,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s17, s18)) | until2p7(s18) | (~xuntil2p8(s17)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(11044,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s17, s18)) | until2p7(s18) | (~xuntil2p8(s17))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[11043, 11042])).
% 2.66/2.20 tff(11045,plain,
% 2.66/2.20 (until2p7(s18) | (~xuntil2p8(s17))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11044, 1387, 8308])).
% 2.66/2.20 tff(11046,plain,
% 2.66/2.20 (~xuntil2p8(s17)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11045, 11041])).
% 2.66/2.20 tff(11047,plain,
% 2.66/2.20 (~always3(s17)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1395, 11035])).
% 2.66/2.20 tff(11048,plain,
% 2.66/2.20 (~node4(s17)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1417, 113, 11047])).
% 2.66/2.20 tff(11049,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(11050,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s17) | xuntil2p8(s17) | (~until2p7(s17)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(11051,plain,
% 2.66/2.20 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s17) | xuntil2p8(s17) | (~until2p7(s17))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[11050, 11049])).
% 2.66/2.20 tff(11052,plain,
% 2.66/2.20 (xuntil2p8(s17) | (~until2p7(s17))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11051, 8293, 11048])).
% 2.66/2.20 tff(11053,plain,
% 2.66/2.20 (~until2p7(s17)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11052, 11046])).
% 2.66/2.20 tff(11054,plain,
% 2.66/2.20 (((~![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)))),
% 2.66/2.20 inference(rewrite,[status(thm)],[])).
% 2.66/2.20 tff(11055,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s16, s17)) | until2p7(s17) | (~xuntil2p8(s16)))),
% 2.66/2.20 inference(quant_inst,[status(thm)],[])).
% 2.66/2.20 tff(11056,plain,
% 2.66/2.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s16, s17)) | until2p7(s17) | (~xuntil2p8(s16))),
% 2.66/2.20 inference(modus_ponens,[status(thm)],[11055, 11054])).
% 2.66/2.20 tff(11057,plain,
% 2.66/2.20 (until2p7(s17) | (~xuntil2p8(s16))),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11056, 1399, 8308])).
% 2.66/2.20 tff(11058,plain,
% 2.66/2.20 (~xuntil2p8(s16)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[11057, 11053])).
% 2.66/2.20 tff(11059,plain,
% 2.66/2.20 (~always3(s16)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1407, 11047])).
% 2.66/2.20 tff(11060,plain,
% 2.66/2.20 (~node4(s16)),
% 2.66/2.20 inference(unit_resolution,[status(thm)],[1430, 113, 11059])).
% 2.66/2.21 tff(11061,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11062,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s16) | xuntil2p8(s16) | (~until2p7(s16)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11063,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s16) | xuntil2p8(s16) | (~until2p7(s16))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11062, 11061])).
% 2.66/2.21 tff(11064,plain,
% 2.66/2.21 (xuntil2p8(s16) | (~until2p7(s16))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11063, 8293, 11060])).
% 2.66/2.21 tff(11065,plain,
% 2.66/2.21 (~until2p7(s16)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11064, 11058])).
% 2.66/2.21 tff(11066,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11067,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s15, s16)) | until2p7(s16) | (~xuntil2p8(s15)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11068,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s15, s16)) | until2p7(s16) | (~xuntil2p8(s15))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11067, 11066])).
% 2.66/2.21 tff(11069,plain,
% 2.66/2.21 (until2p7(s16) | (~xuntil2p8(s15))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11068, 646, 8308])).
% 2.66/2.21 tff(11070,plain,
% 2.66/2.21 (~xuntil2p8(s15)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11069, 11065])).
% 2.66/2.21 tff(11071,plain,
% 2.66/2.21 (~always3(s15)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[654, 11059])).
% 2.66/2.21 tff(11072,plain,
% 2.66/2.21 (~node4(s15)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[214, 113, 11071])).
% 2.66/2.21 tff(11073,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11074,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s15) | xuntil2p8(s15) | (~until2p7(s15)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11075,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s15) | xuntil2p8(s15) | (~until2p7(s15))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11074, 11073])).
% 2.66/2.21 tff(11076,plain,
% 2.66/2.21 (xuntil2p8(s15) | (~until2p7(s15))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11075, 8293, 11072])).
% 2.66/2.21 tff(11077,plain,
% 2.66/2.21 (~until2p7(s15)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11076, 11070])).
% 2.66/2.21 tff(11078,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11079,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s14, s15)) | until2p7(s15) | (~xuntil2p8(s14)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11080,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s14, s15)) | until2p7(s15) | (~xuntil2p8(s14))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11079, 11078])).
% 2.66/2.21 tff(11081,plain,
% 2.66/2.21 (until2p7(s15) | (~xuntil2p8(s14))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11080, 198, 8308])).
% 2.66/2.21 tff(11082,plain,
% 2.66/2.21 (~xuntil2p8(s14)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11081, 11077])).
% 2.66/2.21 tff(11083,plain,
% 2.66/2.21 (~always3(s14)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[206, 11071])).
% 2.66/2.21 tff(11084,plain,
% 2.66/2.21 (~node4(s14)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[210, 113, 11083])).
% 2.66/2.21 tff(11085,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11086,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s14) | xuntil2p8(s14) | (~until2p7(s14)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11087,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s14) | xuntil2p8(s14) | (~until2p7(s14))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11086, 11085])).
% 2.66/2.21 tff(11088,plain,
% 2.66/2.21 (xuntil2p8(s14) | (~until2p7(s14))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11087, 8293, 11084])).
% 2.66/2.21 tff(11089,plain,
% 2.66/2.21 (~until2p7(s14)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11088, 11082])).
% 2.66/2.21 tff(11090,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11091,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s13, s14)) | until2p7(s14) | (~xuntil2p8(s13)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11092,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s13, s14)) | until2p7(s14) | (~xuntil2p8(s13))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11091, 11090])).
% 2.66/2.21 tff(11093,plain,
% 2.66/2.21 (until2p7(s14) | (~xuntil2p8(s13))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11092, 258, 8308])).
% 2.66/2.21 tff(11094,plain,
% 2.66/2.21 (~xuntil2p8(s13)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11093, 11089])).
% 2.66/2.21 tff(11095,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11096,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s13) | xuntil2p8(s13) | (~until2p7(s13)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11097,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s13) | xuntil2p8(s13) | (~until2p7(s13))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11096, 11095])).
% 2.66/2.21 tff(11098,plain,
% 2.66/2.21 (xuntil2p8(s13) | (~until2p7(s13))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11097, 8293, 1258])).
% 2.66/2.21 tff(11099,plain,
% 2.66/2.21 (~until2p7(s13)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11098, 11094])).
% 2.66/2.21 tff(11100,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11101,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s12, s13)) | until2p7(s13) | (~xuntil2p8(s12)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11102,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s12, s13)) | until2p7(s13) | (~xuntil2p8(s12))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11101, 11100])).
% 2.66/2.21 tff(11103,plain,
% 2.66/2.21 (until2p7(s13) | (~xuntil2p8(s12))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11102, 287, 8308])).
% 2.66/2.21 tff(11104,plain,
% 2.66/2.21 (~xuntil2p8(s12)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11103, 11099])).
% 2.66/2.21 tff(11105,plain,
% 2.66/2.21 (~always3(s13)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[271, 11083])).
% 2.66/2.21 tff(11106,plain,
% 2.66/2.21 (~always3(s12)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[300, 11105])).
% 2.66/2.21 tff(11107,plain,
% 2.66/2.21 (~node4(s12)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[304, 113, 11106])).
% 2.66/2.21 tff(11108,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11109,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s12) | xuntil2p8(s12) | (~until2p7(s12)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11110,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s12) | xuntil2p8(s12) | (~until2p7(s12))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11109, 11108])).
% 2.66/2.21 tff(11111,plain,
% 2.66/2.21 (xuntil2p8(s12) | (~until2p7(s12))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11110, 8293, 11107])).
% 2.66/2.21 tff(11112,plain,
% 2.66/2.21 (~until2p7(s12)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11111, 11104])).
% 2.66/2.21 tff(11113,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11114,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s11, s12)) | until2p7(s12) | (~xuntil2p8(s11)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11115,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s11, s12)) | until2p7(s12) | (~xuntil2p8(s11))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11114, 11113])).
% 2.66/2.21 tff(11116,plain,
% 2.66/2.21 (until2p7(s12) | (~xuntil2p8(s11))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11115, 316, 8308])).
% 2.66/2.21 tff(11117,plain,
% 2.66/2.21 (~xuntil2p8(s11)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11116, 11112])).
% 2.66/2.21 tff(11118,plain,
% 2.66/2.21 (~always3(s11)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[329, 11106])).
% 2.66/2.21 tff(11119,plain,
% 2.66/2.21 (~node4(s11)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[333, 113, 11118])).
% 2.66/2.21 tff(11120,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11121,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s11) | xuntil2p8(s11) | (~until2p7(s11)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11122,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s11) | xuntil2p8(s11) | (~until2p7(s11))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11121, 11120])).
% 2.66/2.21 tff(11123,plain,
% 2.66/2.21 (xuntil2p8(s11) | (~until2p7(s11))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11122, 8293, 11119])).
% 2.66/2.21 tff(11124,plain,
% 2.66/2.21 (~until2p7(s11)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11123, 11117])).
% 2.66/2.21 tff(11125,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11126,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s10, s11)) | until2p7(s11) | (~xuntil2p8(s10)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11127,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s10, s11)) | until2p7(s11) | (~xuntil2p8(s10))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11126, 11125])).
% 2.66/2.21 tff(11128,plain,
% 2.66/2.21 (until2p7(s11) | (~xuntil2p8(s10))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11127, 345, 8308])).
% 2.66/2.21 tff(11129,plain,
% 2.66/2.21 (~xuntil2p8(s10)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11128, 11124])).
% 2.66/2.21 tff(11130,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11131,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s10) | xuntil2p8(s10) | (~until2p7(s10)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11132,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s10) | xuntil2p8(s10) | (~until2p7(s10))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11131, 11130])).
% 2.66/2.21 tff(11133,plain,
% 2.66/2.21 (xuntil2p8(s10) | (~until2p7(s10))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11132, 8293, 1197])).
% 2.66/2.21 tff(11134,plain,
% 2.66/2.21 (~until2p7(s10)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11133, 11129])).
% 2.66/2.21 tff(11135,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11136,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s9, s10)) | until2p7(s10) | (~xuntil2p8(s9)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11137,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s9, s10)) | until2p7(s10) | (~xuntil2p8(s9))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11136, 11135])).
% 2.66/2.21 tff(11138,plain,
% 2.66/2.21 (until2p7(s10) | (~xuntil2p8(s9))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11137, 374, 8308])).
% 2.66/2.21 tff(11139,plain,
% 2.66/2.21 (~xuntil2p8(s9)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11138, 11134])).
% 2.66/2.21 tff(11140,plain,
% 2.66/2.21 (~always3(s10)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[358, 11118])).
% 2.66/2.21 tff(11141,plain,
% 2.66/2.21 (~always3(s9)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[387, 11140])).
% 2.66/2.21 tff(11142,plain,
% 2.66/2.21 (~node4(s9)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[391, 113, 11141])).
% 2.66/2.21 tff(11143,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11144,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s9) | xuntil2p8(s9) | (~until2p7(s9)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11145,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s9) | xuntil2p8(s9) | (~until2p7(s9))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11144, 11143])).
% 2.66/2.21 tff(11146,plain,
% 2.66/2.21 (xuntil2p8(s9) | (~until2p7(s9))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11145, 8293, 11142])).
% 2.66/2.21 tff(11147,plain,
% 2.66/2.21 (~until2p7(s9)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11146, 11139])).
% 2.66/2.21 tff(11148,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11149,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s8, s9)) | until2p7(s9) | (~xuntil2p8(s8)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11150,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s8, s9)) | until2p7(s9) | (~xuntil2p8(s8))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11149, 11148])).
% 2.66/2.21 tff(11151,plain,
% 2.66/2.21 (until2p7(s9) | (~xuntil2p8(s8))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11150, 403, 8308])).
% 2.66/2.21 tff(11152,plain,
% 2.66/2.21 (~xuntil2p8(s8)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11151, 11147])).
% 2.66/2.21 tff(11153,plain,
% 2.66/2.21 (~always3(s8)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[416, 11141])).
% 2.66/2.21 tff(11154,plain,
% 2.66/2.21 (~node4(s8)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[420, 113, 11153])).
% 2.66/2.21 tff(11155,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11156,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s8) | xuntil2p8(s8) | (~until2p7(s8)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11157,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s8) | xuntil2p8(s8) | (~until2p7(s8))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11156, 11155])).
% 2.66/2.21 tff(11158,plain,
% 2.66/2.21 (xuntil2p8(s8) | (~until2p7(s8))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11157, 8293, 11154])).
% 2.66/2.21 tff(11159,plain,
% 2.66/2.21 (~until2p7(s8)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11158, 11152])).
% 2.66/2.21 tff(11160,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11161,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s7, s8)) | until2p7(s8) | (~xuntil2p8(s7)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11162,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s7, s8)) | until2p7(s8) | (~xuntil2p8(s7))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11161, 11160])).
% 2.66/2.21 tff(11163,plain,
% 2.66/2.21 (until2p7(s8) | (~xuntil2p8(s7))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11162, 432, 8308])).
% 2.66/2.21 tff(11164,plain,
% 2.66/2.21 (~xuntil2p8(s7)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11163, 11159])).
% 2.66/2.21 tff(11165,plain,
% 2.66/2.21 (~always3(s7)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[440, 11153])).
% 2.66/2.21 tff(11166,plain,
% 2.66/2.21 (~node4(s7)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[627, 113, 11165])).
% 2.66/2.21 tff(11167,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11168,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s7) | xuntil2p8(s7) | (~until2p7(s7)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11169,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s7) | xuntil2p8(s7) | (~until2p7(s7))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11168, 11167])).
% 2.66/2.21 tff(11170,plain,
% 2.66/2.21 (xuntil2p8(s7) | (~until2p7(s7))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11169, 8293, 11166])).
% 2.66/2.21 tff(11171,plain,
% 2.66/2.21 (~until2p7(s7)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11170, 11164])).
% 2.66/2.21 tff(11172,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11173,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s6, s7)) | until2p7(s7) | (~xuntil2p8(s6)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11174,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s6, s7)) | until2p7(s7) | (~xuntil2p8(s6))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11173, 11172])).
% 2.66/2.21 tff(11175,plain,
% 2.66/2.21 (until2p7(s7) | (~xuntil2p8(s6))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11174, 444, 8308])).
% 2.66/2.21 tff(11176,plain,
% 2.66/2.21 (~xuntil2p8(s6)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11175, 11171])).
% 2.66/2.21 tff(11177,plain,
% 2.66/2.21 (~always3(s6)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[452, 11165])).
% 2.66/2.21 tff(11178,plain,
% 2.66/2.21 (~node4(s6)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[610, 113, 11177])).
% 2.66/2.21 tff(11179,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11180,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s6) | xuntil2p8(s6) | (~until2p7(s6)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11181,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s6) | xuntil2p8(s6) | (~until2p7(s6))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11180, 11179])).
% 2.66/2.21 tff(11182,plain,
% 2.66/2.21 (xuntil2p8(s6) | (~until2p7(s6))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11181, 8293, 11178])).
% 2.66/2.21 tff(11183,plain,
% 2.66/2.21 (~until2p7(s6)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11182, 11176])).
% 2.66/2.21 tff(11184,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11185,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s5, s6)) | until2p7(s6) | (~xuntil2p8(s5)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11186,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s5, s6)) | until2p7(s6) | (~xuntil2p8(s5))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11185, 11184])).
% 2.66/2.21 tff(11187,plain,
% 2.66/2.21 (until2p7(s6) | (~xuntil2p8(s5))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11186, 456, 8308])).
% 2.66/2.21 tff(11188,plain,
% 2.66/2.21 (~xuntil2p8(s5)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11187, 11183])).
% 2.66/2.21 tff(11189,plain,
% 2.66/2.21 (~always3(s5)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[464, 11177])).
% 2.66/2.21 tff(11190,plain,
% 2.66/2.21 (~node4(s5)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[593, 113, 11189])).
% 2.66/2.21 tff(11191,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11192,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s5) | xuntil2p8(s5) | (~until2p7(s5)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11193,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s5) | xuntil2p8(s5) | (~until2p7(s5))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11192, 11191])).
% 2.66/2.21 tff(11194,plain,
% 2.66/2.21 (xuntil2p8(s5) | (~until2p7(s5))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11193, 8293, 11190])).
% 2.66/2.21 tff(11195,plain,
% 2.66/2.21 (~until2p7(s5)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11194, 11188])).
% 2.66/2.21 tff(11196,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11197,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s4, s5)) | until2p7(s5) | (~xuntil2p8(s4)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11198,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s4, s5)) | until2p7(s5) | (~xuntil2p8(s4))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11197, 11196])).
% 2.66/2.21 tff(11199,plain,
% 2.66/2.21 (until2p7(s5) | (~xuntil2p8(s4))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11198, 468, 8308])).
% 2.66/2.21 tff(11200,plain,
% 2.66/2.21 (~xuntil2p8(s4)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11199, 11195])).
% 2.66/2.21 tff(11201,plain,
% 2.66/2.21 (~always3(s4)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[476, 11189])).
% 2.66/2.21 tff(11202,plain,
% 2.66/2.21 (~node4(s4)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[576, 113, 11201])).
% 2.66/2.21 tff(11203,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11204,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s4) | xuntil2p8(s4) | (~until2p7(s4)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11205,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s4) | xuntil2p8(s4) | (~until2p7(s4))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11204, 11203])).
% 2.66/2.21 tff(11206,plain,
% 2.66/2.21 (xuntil2p8(s4) | (~until2p7(s4))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11205, 8293, 11202])).
% 2.66/2.21 tff(11207,plain,
% 2.66/2.21 (~until2p7(s4)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11206, 11200])).
% 2.66/2.21 tff(11208,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11209,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s3, s4)) | until2p7(s4) | (~xuntil2p8(s3)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11210,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s3, s4)) | until2p7(s4) | (~xuntil2p8(s3))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11209, 11208])).
% 2.66/2.21 tff(11211,plain,
% 2.66/2.21 (until2p7(s4) | (~xuntil2p8(s3))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11210, 480, 8308])).
% 2.66/2.21 tff(11212,plain,
% 2.66/2.21 (~xuntil2p8(s3)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11211, 11207])).
% 2.66/2.21 tff(11213,plain,
% 2.66/2.21 (~always3(s3)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[488, 11201])).
% 2.66/2.21 tff(11214,plain,
% 2.66/2.21 (~node4(s3)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[559, 113, 11213])).
% 2.66/2.21 tff(11215,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11216,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s3) | xuntil2p8(s3) | (~until2p7(s3)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11217,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s3) | xuntil2p8(s3) | (~until2p7(s3))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11216, 11215])).
% 2.66/2.21 tff(11218,plain,
% 2.66/2.21 (xuntil2p8(s3) | (~until2p7(s3))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11217, 8293, 11214])).
% 2.66/2.21 tff(11219,plain,
% 2.66/2.21 (~until2p7(s3)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11218, 11212])).
% 2.66/2.21 tff(11220,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11221,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s2, s3)) | until2p7(s3) | (~xuntil2p8(s2)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11222,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s2, s3)) | until2p7(s3) | (~xuntil2p8(s2))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11221, 11220])).
% 2.66/2.21 tff(11223,plain,
% 2.66/2.21 (until2p7(s3) | (~xuntil2p8(s2))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11222, 24, 8308])).
% 2.66/2.21 tff(11224,plain,
% 2.66/2.21 (~xuntil2p8(s2)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11223, 11219])).
% 2.66/2.21 tff(11225,plain,
% 2.66/2.21 (~always3(s2)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[42, 11213])).
% 2.66/2.21 tff(11226,plain,
% 2.66/2.21 (~node4(s2)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[542, 113, 11225])).
% 2.66/2.21 tff(11227,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11228,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s2) | xuntil2p8(s2) | (~until2p7(s2)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11229,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s2) | xuntil2p8(s2) | (~until2p7(s2))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11228, 11227])).
% 2.66/2.21 tff(11230,plain,
% 2.66/2.21 (xuntil2p8(s2) | (~until2p7(s2))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11229, 8293, 11226])).
% 2.66/2.21 tff(11231,plain,
% 2.66/2.21 (~until2p7(s2)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11230, 11224])).
% 2.66/2.21 tff(11232,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11233,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s1, s2)) | until2p7(s2) | (~xuntil2p8(s1)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11234,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s1, s2)) | until2p7(s2) | (~xuntil2p8(s1))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11233, 11232])).
% 2.66/2.21 tff(11235,plain,
% 2.66/2.21 (until2p7(s2) | (~xuntil2p8(s1))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11234, 46, 8308])).
% 2.66/2.21 tff(11236,plain,
% 2.66/2.21 (~xuntil2p8(s1)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11235, 11231])).
% 2.66/2.21 tff(11237,assumption,(node4(s1)), introduced(assumption)).
% 2.66/2.21 tff(11238,plain,
% 2.66/2.21 (m_main_v_request(s1)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[945, 63, 11237])).
% 2.66/2.21 tff(11239,plain,
% 2.66/2.21 (always3(s1)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[494, 113, 11237])).
% 2.66/2.21 tff(11240,plain,
% 2.66/2.21 (always3(s2)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[54, 11239])).
% 2.66/2.21 tff(11241,plain,
% 2.66/2.21 (~m_main_v_state(s2, c_busy)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[913, 145, 11240])).
% 2.66/2.21 tff(11242,plain,
% 2.66/2.21 (~m_main_v_state(s1, c_ready)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[954, 11241, 11238])).
% 2.66/2.21 tff(11243,plain,
% 2.66/2.21 (~m_main_v_state(s1, c_busy)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[718, 145, 11239])).
% 2.66/2.21 tff(11244,plain,
% 2.66/2.21 ($false),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[960, 188, 11243, 11242])).
% 2.66/2.21 tff(11245,plain,(~node4(s1)), inference(lemma,lemma(discharge,[]))).
% 2.66/2.21 tff(11246,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11247,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s1) | xuntil2p8(s1) | (~until2p7(s1)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11248,plain,
% 2.66/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s1) | xuntil2p8(s1) | (~until2p7(s1))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11247, 11246])).
% 2.66/2.21 tff(11249,plain,
% 2.66/2.21 (xuntil2p8(s1) | (~until2p7(s1))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11248, 8293, 11245])).
% 2.66/2.21 tff(11250,plain,
% 2.66/2.21 (~until2p7(s1)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11249, 11236])).
% 2.66/2.21 tff(11251,plain,
% 2.66/2.21 (((~![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)))),
% 2.66/2.21 inference(rewrite,[status(thm)],[])).
% 2.66/2.21 tff(11252,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s0, s1)) | until2p7(s1) | (~xuntil2p8(s0)))),
% 2.66/2.21 inference(quant_inst,[status(thm)],[])).
% 2.66/2.21 tff(11253,plain,
% 2.66/2.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s0, s1)) | until2p7(s1) | (~xuntil2p8(s0))),
% 2.66/2.21 inference(modus_ponens,[status(thm)],[11252, 11251])).
% 2.66/2.21 tff(11254,plain,
% 2.66/2.21 (until2p7(s1) | (~xuntil2p8(s0))),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11253, 498, 8308])).
% 2.66/2.21 tff(11255,plain,
% 2.66/2.21 (~xuntil2p8(s0)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[11254, 11250])).
% 2.66/2.21 tff(11256,plain,
% 2.66/2.21 (~always3(s1)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[54, 11225])).
% 2.66/2.21 tff(11257,plain,
% 2.66/2.21 (~always3(s0)),
% 2.66/2.21 inference(unit_resolution,[status(thm)],[506, 11256])).
% 2.66/2.21 tff(11258,plain,
% 2.66/2.21 (~node4(s0)),
% 2.74/2.21 inference(unit_resolution,[status(thm)],[510, 113, 11257])).
% 2.74/2.21 tff(11259,plain,
% 2.74/2.21 (((~![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)))),
% 2.74/2.21 inference(rewrite,[status(thm)],[])).
% 2.74/2.21 tff(11260,plain,
% 2.74/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s0) | xuntil2p8(s0) | (~until2p7(s0)))),
% 2.74/2.21 inference(quant_inst,[status(thm)],[])).
% 2.74/2.21 tff(11261,plain,
% 2.74/2.21 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s0) | xuntil2p8(s0) | (~until2p7(s0))),
% 2.74/2.21 inference(modus_ponens,[status(thm)],[11260, 11259])).
% 2.74/2.21 tff(11262,plain,
% 2.74/2.21 (xuntil2p8(s0) | (~until2p7(s0))),
% 2.74/2.21 inference(unit_resolution,[status(thm)],[11261, 8293, 11258])).
% 2.74/2.21 tff(11263,plain,
% 2.74/2.21 (~until2p7(s0)),
% 2.74/2.21 inference(unit_resolution,[status(thm)],[11262, 11255])).
% 2.74/2.21 tff(11264,assumption,(xuntil6(s199)), introduced(assumption)).
% 2.74/2.21 tff(11265,assumption,(~until2p7(s5)), introduced(assumption)).
% 2.74/2.21 tff(11266,plain,
% 2.74/2.21 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y)) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y)))),
% 2.74/2.21 inference(bind,[status(th)],[])).
% 2.74/2.21 tff(11267,plain,
% 2.74/2.21 (![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))),
% 2.74/2.21 inference(quant_intro,[status(thm)],[11266])).
% 2.74/2.21 tff(11268,plain,
% 2.74/2.21 (![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))),
% 2.74/2.21 inference(rewrite,[status(thm)],[])).
% 2.74/2.21 tff(11269,plain,
% 2.74/2.21 (^[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))))),
% 2.74/2.21 inference(bind,[status(th)],[])).
% 2.74/2.21 tff(11270,plain,
% 2.74/2.21 (![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))),
% 2.74/2.21 inference(quant_intro,[status(thm)],[11269])).
% 2.74/2.21 tff(11271,axiom,(![Y: $i, X: $i] : (((until2p7(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil6(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty9')).
% 2.74/2.21 tff(11272,plain,
% 2.74/2.21 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 2.74/2.21 inference(modus_ponens,[status(thm)],[11271, 11270])).
% 2.74/2.21 tff(11273,plain,
% 2.74/2.21 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 2.74/2.21 inference(modus_ponens,[status(thm)],[11272, 11268])).
% 2.74/2.21 tff(11274,plain,(
% 2.74/2.21 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 2.74/2.21 inference(skolemize,[status(sab)],[11273])).
% 2.74/2.21 tff(11275,plain,
% 2.74/2.21 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 2.74/2.21 inference(modus_ponens,[status(thm)],[11274, 11267])).
% 2.74/2.21 tff(11276,assumption,(trans(s199, s5)), introduced(assumption)).
% 2.74/2.21 tff(11277,plain,
% 2.74/2.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s5) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s5) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s5)))),
% 2.74/2.21 inference(rewrite,[status(thm)],[])).
% 2.74/2.21 tff(11278,plain,
% 2.74/2.21 (((~trans(s199, s5)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s5)) <=> (until2p7(s5) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s5)))),
% 2.74/2.21 inference(rewrite,[status(thm)],[])).
% 2.74/2.21 tff(11279,plain,
% 2.74/2.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s5)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s5) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s5))))),
% 2.74/2.22 inference(monotonicity,[status(thm)],[11278])).
% 2.74/2.22 tff(11280,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s5)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s5) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s5)))),
% 2.74/2.22 inference(transitivity,[status(thm)],[11279, 11277])).
% 2.74/2.22 tff(11281,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s5)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s5))),
% 2.74/2.22 inference(quant_inst,[status(thm)],[])).
% 2.74/2.22 tff(11282,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s5) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s5))),
% 2.74/2.22 inference(modus_ponens,[status(thm)],[11281, 11280])).
% 2.74/2.22 tff(11283,plain,
% 2.74/2.22 ($false),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11282, 8279, 11276, 11275, 11265, 11264])).
% 2.74/2.22 tff(11284,plain,((~trans(s199, s5)) | until2p7(s5) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.22 tff(11285,plain,
% 2.74/2.22 (~trans(s199, s5)),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11284, 11195, 8266])).
% 2.74/2.22 tff(11286,assumption,(~until2p7(s96)), introduced(assumption)).
% 2.74/2.22 tff(11287,assumption,(trans(s199, s96)), introduced(assumption)).
% 2.74/2.22 tff(11288,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s96) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s96)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s96) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s96)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11289,plain,
% 2.74/2.22 (((~trans(s199, s96)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s96)) <=> (until2p7(s96) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s96)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11290,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s96)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s96) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s96))))),
% 2.74/2.22 inference(monotonicity,[status(thm)],[11289])).
% 2.74/2.22 tff(11291,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s96)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s96) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s96)))),
% 2.74/2.22 inference(transitivity,[status(thm)],[11290, 11288])).
% 2.74/2.22 tff(11292,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s96)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s96))),
% 2.74/2.22 inference(quant_inst,[status(thm)],[])).
% 2.74/2.22 tff(11293,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s96) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s96))),
% 2.74/2.22 inference(modus_ponens,[status(thm)],[11292, 11291])).
% 2.74/2.22 tff(11294,plain,
% 2.74/2.22 ($false),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11293, 8279, 11287, 11275, 11286, 11264])).
% 2.74/2.22 tff(11295,plain,((~trans(s199, s96)) | until2p7(s96) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.22 tff(11296,plain,
% 2.74/2.22 (~trans(s199, s96)),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11295, 10040, 8266])).
% 2.74/2.22 tff(11297,assumption,(~until2p7(s32)), introduced(assumption)).
% 2.74/2.22 tff(11298,assumption,(trans(s199, s32)), introduced(assumption)).
% 2.74/2.22 tff(11299,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s32) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s32)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s32) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s32)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11300,plain,
% 2.74/2.22 (((~trans(s199, s32)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s32)) <=> (until2p7(s32) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s32)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11301,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s32)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s32) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s32))))),
% 2.74/2.22 inference(monotonicity,[status(thm)],[11300])).
% 2.74/2.22 tff(11302,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s32)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s32) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s32)))),
% 2.74/2.22 inference(transitivity,[status(thm)],[11301, 11299])).
% 2.74/2.22 tff(11303,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s32)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s32))),
% 2.74/2.22 inference(quant_inst,[status(thm)],[])).
% 2.74/2.22 tff(11304,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s32) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s32))),
% 2.74/2.22 inference(modus_ponens,[status(thm)],[11303, 11302])).
% 2.74/2.22 tff(11305,plain,
% 2.74/2.22 ($false),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11304, 8279, 11298, 11275, 11297, 11264])).
% 2.74/2.22 tff(11306,plain,((~trans(s199, s32)) | until2p7(s32) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.22 tff(11307,plain,
% 2.74/2.22 (~trans(s199, s32)),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11306, 10874, 8266])).
% 2.74/2.22 tff(11308,assumption,(~until2p7(s8)), introduced(assumption)).
% 2.74/2.22 tff(11309,assumption,(trans(s199, s8)), introduced(assumption)).
% 2.74/2.22 tff(11310,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s8) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s8) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s8)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11311,plain,
% 2.74/2.22 (((~trans(s199, s8)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s8)) <=> (until2p7(s8) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s8)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11312,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s8)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s8) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s8))))),
% 2.74/2.22 inference(monotonicity,[status(thm)],[11311])).
% 2.74/2.22 tff(11313,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s8)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s8) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s8)))),
% 2.74/2.22 inference(transitivity,[status(thm)],[11312, 11310])).
% 2.74/2.22 tff(11314,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s8)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s8))),
% 2.74/2.22 inference(quant_inst,[status(thm)],[])).
% 2.74/2.22 tff(11315,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s8) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s8))),
% 2.74/2.22 inference(modus_ponens,[status(thm)],[11314, 11313])).
% 2.74/2.22 tff(11316,plain,
% 2.74/2.22 ($false),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11315, 8279, 11309, 11275, 11308, 11264])).
% 2.74/2.22 tff(11317,plain,((~trans(s199, s8)) | until2p7(s8) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.22 tff(11318,plain,
% 2.74/2.22 (~trans(s199, s8)),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11317, 11159, 8266])).
% 2.74/2.22 tff(11319,assumption,(~until2p7(s147)), introduced(assumption)).
% 2.74/2.22 tff(11320,assumption,(trans(s199, s147)), introduced(assumption)).
% 2.74/2.22 tff(11321,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s147) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s147)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s147) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s147)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11322,plain,
% 2.74/2.22 (((~trans(s199, s147)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s147)) <=> (until2p7(s147) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s147)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11323,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s147)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s147) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s147))))),
% 2.74/2.22 inference(monotonicity,[status(thm)],[11322])).
% 2.74/2.22 tff(11324,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s147)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s147) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s147)))),
% 2.74/2.22 inference(transitivity,[status(thm)],[11323, 11321])).
% 2.74/2.22 tff(11325,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s147)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s147))),
% 2.74/2.22 inference(quant_inst,[status(thm)],[])).
% 2.74/2.22 tff(11326,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s147) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s147))),
% 2.74/2.22 inference(modus_ponens,[status(thm)],[11325, 11324])).
% 2.74/2.22 tff(11327,plain,
% 2.74/2.22 ($false),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11326, 8279, 11320, 11275, 11319, 11264])).
% 2.74/2.22 tff(11328,plain,((~trans(s199, s147)) | until2p7(s147) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.22 tff(11329,plain,
% 2.74/2.22 (~trans(s199, s147)),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11328, 9327, 8266])).
% 2.74/2.22 tff(11330,assumption,(~until2p7(s15)), introduced(assumption)).
% 2.74/2.22 tff(11331,assumption,(trans(s199, s15)), introduced(assumption)).
% 2.74/2.22 tff(11332,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s15) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s15)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s15) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s15)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11333,plain,
% 2.74/2.22 (((~trans(s199, s15)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s15)) <=> (until2p7(s15) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s15)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11334,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s15)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s15) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s15))))),
% 2.74/2.22 inference(monotonicity,[status(thm)],[11333])).
% 2.74/2.22 tff(11335,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s15)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s15) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s15)))),
% 2.74/2.22 inference(transitivity,[status(thm)],[11334, 11332])).
% 2.74/2.22 tff(11336,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s15)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s15))),
% 2.74/2.22 inference(quant_inst,[status(thm)],[])).
% 2.74/2.22 tff(11337,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s15) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s15))),
% 2.74/2.22 inference(modus_ponens,[status(thm)],[11336, 11335])).
% 2.74/2.22 tff(11338,plain,
% 2.74/2.22 ($false),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11337, 8279, 11331, 11275, 11330, 11264])).
% 2.74/2.22 tff(11339,plain,((~trans(s199, s15)) | until2p7(s15) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.22 tff(11340,plain,
% 2.74/2.22 (~trans(s199, s15)),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11339, 11077, 8266])).
% 2.74/2.22 tff(11341,assumption,(~until2p7(s16)), introduced(assumption)).
% 2.74/2.22 tff(11342,assumption,(trans(s199, s16)), introduced(assumption)).
% 2.74/2.22 tff(11343,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s16) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s16)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s16) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s16)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11344,plain,
% 2.74/2.22 (((~trans(s199, s16)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s16)) <=> (until2p7(s16) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s16)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11345,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s16)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s16) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s16))))),
% 2.74/2.22 inference(monotonicity,[status(thm)],[11344])).
% 2.74/2.22 tff(11346,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s16)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s16) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s16)))),
% 2.74/2.22 inference(transitivity,[status(thm)],[11345, 11343])).
% 2.74/2.22 tff(11347,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s16)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s16))),
% 2.74/2.22 inference(quant_inst,[status(thm)],[])).
% 2.74/2.22 tff(11348,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s16) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s16))),
% 2.74/2.22 inference(modus_ponens,[status(thm)],[11347, 11346])).
% 2.74/2.22 tff(11349,plain,
% 2.74/2.22 ($false),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11348, 8279, 11342, 11275, 11341, 11264])).
% 2.74/2.22 tff(11350,plain,((~trans(s199, s16)) | until2p7(s16) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.22 tff(11351,plain,
% 2.74/2.22 (~trans(s199, s16)),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11350, 11065, 8266])).
% 2.74/2.22 tff(11352,assumption,(~until2p7(s178)), introduced(assumption)).
% 2.74/2.22 tff(11353,assumption,(trans(s199, s178)), introduced(assumption)).
% 2.74/2.22 tff(11354,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s178) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s178)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s178) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s178)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11355,plain,
% 2.74/2.22 (((~trans(s199, s178)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s178)) <=> (until2p7(s178) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s178)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11356,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s178)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s178) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s178))))),
% 2.74/2.22 inference(monotonicity,[status(thm)],[11355])).
% 2.74/2.22 tff(11357,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s178)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s178) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s178)))),
% 2.74/2.22 inference(transitivity,[status(thm)],[11356, 11354])).
% 2.74/2.22 tff(11358,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s178)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s178))),
% 2.74/2.22 inference(quant_inst,[status(thm)],[])).
% 2.74/2.22 tff(11359,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s178) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s178))),
% 2.74/2.22 inference(modus_ponens,[status(thm)],[11358, 11357])).
% 2.74/2.22 tff(11360,plain,
% 2.74/2.22 ($false),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11359, 8279, 11353, 11275, 11352, 11264])).
% 2.74/2.22 tff(11361,plain,((~trans(s199, s178)) | until2p7(s178) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.22 tff(11362,plain,
% 2.74/2.22 (~trans(s199, s178)),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11361, 8678, 8266])).
% 2.74/2.22 tff(11363,assumption,(~until2p7(s93)), introduced(assumption)).
% 2.74/2.22 tff(11364,assumption,(trans(s199, s93)), introduced(assumption)).
% 2.74/2.22 tff(11365,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s93) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s93)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s93) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s93)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11366,plain,
% 2.74/2.22 (((~trans(s199, s93)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s93)) <=> (until2p7(s93) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s93)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11367,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s93)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s93) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s93))))),
% 2.74/2.22 inference(monotonicity,[status(thm)],[11366])).
% 2.74/2.22 tff(11368,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s93)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s93) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s93)))),
% 2.74/2.22 inference(transitivity,[status(thm)],[11367, 11365])).
% 2.74/2.22 tff(11369,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s93)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s93))),
% 2.74/2.22 inference(quant_inst,[status(thm)],[])).
% 2.74/2.22 tff(11370,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s93) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s93))),
% 2.74/2.22 inference(modus_ponens,[status(thm)],[11369, 11368])).
% 2.74/2.22 tff(11371,plain,
% 2.74/2.22 ($false),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11370, 8279, 11364, 11275, 11363, 11264])).
% 2.74/2.22 tff(11372,plain,((~trans(s199, s93)) | until2p7(s93) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.22 tff(11373,plain,
% 2.74/2.22 (~trans(s199, s93)),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11372, 10109, 8266])).
% 2.74/2.22 tff(11374,assumption,(~until2p7(s190)), introduced(assumption)).
% 2.74/2.22 tff(11375,assumption,(trans(s199, s190)), introduced(assumption)).
% 2.74/2.22 tff(11376,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s190) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s190)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s190) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s190)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11377,plain,
% 2.74/2.22 (((~trans(s199, s190)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s190)) <=> (until2p7(s190) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s190)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11378,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s190)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s190) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s190))))),
% 2.74/2.22 inference(monotonicity,[status(thm)],[11377])).
% 2.74/2.22 tff(11379,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s190)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s190) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s190)))),
% 2.74/2.22 inference(transitivity,[status(thm)],[11378, 11376])).
% 2.74/2.22 tff(11380,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s190)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s190))),
% 2.74/2.22 inference(quant_inst,[status(thm)],[])).
% 2.74/2.22 tff(11381,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s190) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s190))),
% 2.74/2.22 inference(modus_ponens,[status(thm)],[11380, 11379])).
% 2.74/2.22 tff(11382,plain,
% 2.74/2.22 ($false),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11381, 8279, 11375, 11275, 11374, 11264])).
% 2.74/2.22 tff(11383,plain,((~trans(s199, s190)) | until2p7(s190) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.22 tff(11384,plain,
% 2.74/2.22 (~trans(s199, s190)),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11383, 8449, 8266])).
% 2.74/2.22 tff(11385,assumption,(~until2p7(s182)), introduced(assumption)).
% 2.74/2.22 tff(11386,assumption,(trans(s199, s182)), introduced(assumption)).
% 2.74/2.22 tff(11387,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s182) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s182)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s182) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s182)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11388,plain,
% 2.74/2.22 (((~trans(s199, s182)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s182)) <=> (until2p7(s182) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s182)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11389,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s182)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s182) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s182))))),
% 2.74/2.22 inference(monotonicity,[status(thm)],[11388])).
% 2.74/2.22 tff(11390,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s182)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s182) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s182)))),
% 2.74/2.22 inference(transitivity,[status(thm)],[11389, 11387])).
% 2.74/2.22 tff(11391,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s182)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s182))),
% 2.74/2.22 inference(quant_inst,[status(thm)],[])).
% 2.74/2.22 tff(11392,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s182) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s182))),
% 2.74/2.22 inference(modus_ponens,[status(thm)],[11391, 11390])).
% 2.74/2.22 tff(11393,plain,
% 2.74/2.22 ($false),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11392, 8279, 11386, 11275, 11385, 11264])).
% 2.74/2.22 tff(11394,plain,((~trans(s199, s182)) | until2p7(s182) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.22 tff(11395,plain,
% 2.74/2.22 (~trans(s199, s182)),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11394, 8601, 8266])).
% 2.74/2.22 tff(11396,assumption,(~until2p7(s183)), introduced(assumption)).
% 2.74/2.22 tff(11397,assumption,(trans(s199, s183)), introduced(assumption)).
% 2.74/2.22 tff(11398,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s183) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s183)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s183) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s183)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11399,plain,
% 2.74/2.22 (((~trans(s199, s183)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s183)) <=> (until2p7(s183) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s183)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11400,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s183)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s183) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s183))))),
% 2.74/2.22 inference(monotonicity,[status(thm)],[11399])).
% 2.74/2.22 tff(11401,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s183)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s183) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s183)))),
% 2.74/2.22 inference(transitivity,[status(thm)],[11400, 11398])).
% 2.74/2.22 tff(11402,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s183)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s183))),
% 2.74/2.22 inference(quant_inst,[status(thm)],[])).
% 2.74/2.22 tff(11403,plain,
% 2.74/2.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s183) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s183))),
% 2.74/2.22 inference(modus_ponens,[status(thm)],[11402, 11401])).
% 2.74/2.22 tff(11404,plain,
% 2.74/2.22 ($false),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11403, 8279, 11397, 11275, 11396, 11264])).
% 2.74/2.22 tff(11405,plain,((~trans(s199, s183)) | until2p7(s183) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.22 tff(11406,plain,
% 2.74/2.22 (~trans(s199, s183)),
% 2.74/2.22 inference(unit_resolution,[status(thm)],[11405, 8591, 8266])).
% 2.74/2.22 tff(11407,assumption,(~until2p7(s139)), introduced(assumption)).
% 2.74/2.22 tff(11408,assumption,(trans(s199, s139)), introduced(assumption)).
% 2.74/2.22 tff(11409,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s139) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s139)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s139) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s139)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11410,plain,
% 2.74/2.22 (((~trans(s199, s139)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s139)) <=> (until2p7(s139) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s139)))),
% 2.74/2.22 inference(rewrite,[status(thm)],[])).
% 2.74/2.22 tff(11411,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s139)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s139) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s139))))),
% 2.74/2.22 inference(monotonicity,[status(thm)],[11410])).
% 2.74/2.22 tff(11412,plain,
% 2.74/2.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s139)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s139) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s139)))),
% 2.74/2.23 inference(transitivity,[status(thm)],[11411, 11409])).
% 2.74/2.23 tff(11413,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s139)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s139))),
% 2.74/2.23 inference(quant_inst,[status(thm)],[])).
% 2.74/2.23 tff(11414,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s139) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s139))),
% 2.74/2.23 inference(modus_ponens,[status(thm)],[11413, 11412])).
% 2.74/2.23 tff(11415,plain,
% 2.74/2.23 ($false),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11414, 8279, 11408, 11275, 11407, 11264])).
% 2.74/2.23 tff(11416,plain,((~trans(s199, s139)) | until2p7(s139) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.23 tff(11417,plain,
% 2.74/2.23 (~trans(s199, s139)),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11416, 9422, 8266])).
% 2.74/2.23 tff(11418,assumption,(~until2p7(s108)), introduced(assumption)).
% 2.74/2.23 tff(11419,assumption,(trans(s199, s108)), introduced(assumption)).
% 2.74/2.23 tff(11420,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s108) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s108)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s108) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s108)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11421,plain,
% 2.74/2.23 (((~trans(s199, s108)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s108)) <=> (until2p7(s108) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s108)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11422,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s108)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s108) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s108))))),
% 2.74/2.23 inference(monotonicity,[status(thm)],[11421])).
% 2.74/2.23 tff(11423,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s108)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s108) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s108)))),
% 2.74/2.23 inference(transitivity,[status(thm)],[11422, 11420])).
% 2.74/2.23 tff(11424,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s108)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s108))),
% 2.74/2.23 inference(quant_inst,[status(thm)],[])).
% 2.74/2.23 tff(11425,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s108) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s108))),
% 2.74/2.23 inference(modus_ponens,[status(thm)],[11424, 11423])).
% 2.74/2.23 tff(11426,plain,
% 2.74/2.23 ($false),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11425, 8279, 11419, 11275, 11418, 11264])).
% 2.74/2.23 tff(11427,plain,((~trans(s199, s108)) | until2p7(s108) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.23 tff(11428,plain,
% 2.74/2.23 (~trans(s199, s108)),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11427, 9794, 8266])).
% 2.74/2.23 tff(11429,assumption,(~until2p7(s46)), introduced(assumption)).
% 2.74/2.23 tff(11430,assumption,(trans(s199, s46)), introduced(assumption)).
% 2.74/2.23 tff(11431,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s46) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s46)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s46) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s46)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11432,plain,
% 2.74/2.23 (((~trans(s199, s46)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s46)) <=> (until2p7(s46) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s46)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11433,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s46)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s46) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s46))))),
% 2.74/2.23 inference(monotonicity,[status(thm)],[11432])).
% 2.74/2.23 tff(11434,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s46)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s46) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s46)))),
% 2.74/2.23 inference(transitivity,[status(thm)],[11433, 11431])).
% 2.74/2.23 tff(11435,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s46)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s46))),
% 2.74/2.23 inference(quant_inst,[status(thm)],[])).
% 2.74/2.23 tff(11436,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s46) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s46))),
% 2.74/2.23 inference(modus_ponens,[status(thm)],[11435, 11434])).
% 2.74/2.23 tff(11437,plain,
% 2.74/2.23 ($false),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11436, 8279, 11430, 11275, 11429, 11264])).
% 2.74/2.23 tff(11438,plain,((~trans(s199, s46)) | until2p7(s46) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.23 tff(11439,plain,
% 2.74/2.23 (~trans(s199, s46)),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11438, 10708, 8266])).
% 2.74/2.23 tff(11440,assumption,(~until2p7(s123)), introduced(assumption)).
% 2.74/2.23 tff(11441,assumption,(trans(s199, s123)), introduced(assumption)).
% 2.74/2.23 tff(11442,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s123) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s123)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s123) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s123)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11443,plain,
% 2.74/2.23 (((~trans(s199, s123)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s123)) <=> (until2p7(s123) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s123)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11444,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s123)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s123) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s123))))),
% 2.74/2.23 inference(monotonicity,[status(thm)],[11443])).
% 2.74/2.23 tff(11445,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s123)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s123) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s123)))),
% 2.74/2.23 inference(transitivity,[status(thm)],[11444, 11442])).
% 2.74/2.23 tff(11446,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s123)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s123))),
% 2.74/2.23 inference(quant_inst,[status(thm)],[])).
% 2.74/2.23 tff(11447,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s123) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s123))),
% 2.74/2.23 inference(modus_ponens,[status(thm)],[11446, 11445])).
% 2.74/2.23 tff(11448,plain,
% 2.74/2.23 ($false),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11447, 8279, 11441, 11275, 11440, 11264])).
% 2.74/2.23 tff(11449,plain,((~trans(s199, s123)) | until2p7(s123) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.23 tff(11450,plain,
% 2.74/2.23 (~trans(s199, s123)),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11449, 9614, 8266])).
% 2.74/2.23 tff(11451,assumption,(~until2p7(s148)), introduced(assumption)).
% 2.74/2.23 tff(11452,assumption,(trans(s199, s148)), introduced(assumption)).
% 2.74/2.23 tff(11453,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s148) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s148)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s148) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s148)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11454,plain,
% 2.74/2.23 (((~trans(s199, s148)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s148)) <=> (until2p7(s148) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s148)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11455,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s148)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s148) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s148))))),
% 2.74/2.23 inference(monotonicity,[status(thm)],[11454])).
% 2.74/2.23 tff(11456,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s148)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s148) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s148)))),
% 2.74/2.23 inference(transitivity,[status(thm)],[11455, 11453])).
% 2.74/2.23 tff(11457,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s148)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s148))),
% 2.74/2.23 inference(quant_inst,[status(thm)],[])).
% 2.74/2.23 tff(11458,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s148) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s148))),
% 2.74/2.23 inference(modus_ponens,[status(thm)],[11457, 11456])).
% 2.74/2.23 tff(11459,plain,
% 2.74/2.23 ($false),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11458, 8279, 11452, 11275, 11451, 11264])).
% 2.74/2.23 tff(11460,plain,((~trans(s199, s148)) | until2p7(s148) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.23 tff(11461,plain,
% 2.74/2.23 (~trans(s199, s148)),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11460, 9314, 8266])).
% 2.74/2.23 tff(11462,assumption,(~until2p7(s38)), introduced(assumption)).
% 2.74/2.23 tff(11463,assumption,(trans(s199, s38)), introduced(assumption)).
% 2.74/2.23 tff(11464,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s38) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s38)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s38) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s38)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11465,plain,
% 2.74/2.23 (((~trans(s199, s38)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s38)) <=> (until2p7(s38) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s38)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11466,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s38)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s38) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s38))))),
% 2.74/2.23 inference(monotonicity,[status(thm)],[11465])).
% 2.74/2.23 tff(11467,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s38)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s38) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s38)))),
% 2.74/2.23 inference(transitivity,[status(thm)],[11466, 11464])).
% 2.74/2.23 tff(11468,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s38)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s38))),
% 2.74/2.23 inference(quant_inst,[status(thm)],[])).
% 2.74/2.23 tff(11469,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s38) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s38))),
% 2.74/2.23 inference(modus_ponens,[status(thm)],[11468, 11467])).
% 2.74/2.23 tff(11470,plain,
% 2.74/2.23 ($false),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11469, 8279, 11463, 11275, 11462, 11264])).
% 2.74/2.23 tff(11471,plain,((~trans(s199, s38)) | until2p7(s38) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.23 tff(11472,plain,
% 2.74/2.23 (~trans(s199, s38)),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11471, 10804, 8266])).
% 2.74/2.23 tff(11473,assumption,(~until2p7(s146)), introduced(assumption)).
% 2.74/2.23 tff(11474,assumption,(trans(s199, s146)), introduced(assumption)).
% 2.74/2.23 tff(11475,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s146) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s146)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s146) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s146)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11476,plain,
% 2.74/2.23 (((~trans(s199, s146)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s146)) <=> (until2p7(s146) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s146)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11477,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s146)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s146) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s146))))),
% 2.74/2.23 inference(monotonicity,[status(thm)],[11476])).
% 2.74/2.23 tff(11478,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s146)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s146) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s146)))),
% 2.74/2.23 inference(transitivity,[status(thm)],[11477, 11475])).
% 2.74/2.23 tff(11479,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s146)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s146))),
% 2.74/2.23 inference(quant_inst,[status(thm)],[])).
% 2.74/2.23 tff(11480,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s146) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s146))),
% 2.74/2.23 inference(modus_ponens,[status(thm)],[11479, 11478])).
% 2.74/2.23 tff(11481,plain,
% 2.74/2.23 ($false),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11480, 8279, 11474, 11275, 11473, 11264])).
% 2.74/2.23 tff(11482,plain,((~trans(s199, s146)) | until2p7(s146) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.23 tff(11483,plain,
% 2.74/2.23 (~trans(s199, s146)),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11482, 9337, 8266])).
% 2.74/2.23 tff(11484,assumption,(~until2p7(s138)), introduced(assumption)).
% 2.74/2.23 tff(11485,assumption,(trans(s199, s138)), introduced(assumption)).
% 2.74/2.23 tff(11486,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s138) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s138)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s138) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s138)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11487,plain,
% 2.74/2.23 (((~trans(s199, s138)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s138)) <=> (until2p7(s138) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s138)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11488,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s138)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s138) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s138))))),
% 2.74/2.23 inference(monotonicity,[status(thm)],[11487])).
% 2.74/2.23 tff(11489,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s138)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s138) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s138)))),
% 2.74/2.23 inference(transitivity,[status(thm)],[11488, 11486])).
% 2.74/2.23 tff(11490,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s138)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s138))),
% 2.74/2.23 inference(quant_inst,[status(thm)],[])).
% 2.74/2.23 tff(11491,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s138) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s138))),
% 2.74/2.23 inference(modus_ponens,[status(thm)],[11490, 11489])).
% 2.74/2.23 tff(11492,plain,
% 2.74/2.23 ($false),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11491, 8279, 11485, 11275, 11484, 11264])).
% 2.74/2.23 tff(11493,plain,((~trans(s199, s138)) | until2p7(s138) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.23 tff(11494,plain,
% 2.74/2.23 (~trans(s199, s138)),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11493, 9434, 8266])).
% 2.74/2.23 tff(11495,assumption,(~until2p7(s120)), introduced(assumption)).
% 2.74/2.23 tff(11496,assumption,(trans(s199, s120)), introduced(assumption)).
% 2.74/2.23 tff(11497,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s120) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s120)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s120) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s120)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11498,plain,
% 2.74/2.23 (((~trans(s199, s120)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s120)) <=> (until2p7(s120) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s120)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11499,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s120)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s120) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s120))))),
% 2.74/2.23 inference(monotonicity,[status(thm)],[11498])).
% 2.74/2.23 tff(11500,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s120)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s120) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s120)))),
% 2.74/2.23 inference(transitivity,[status(thm)],[11499, 11497])).
% 2.74/2.23 tff(11501,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s120)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s120))),
% 2.74/2.23 inference(quant_inst,[status(thm)],[])).
% 2.74/2.23 tff(11502,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s120) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s120))),
% 2.74/2.23 inference(modus_ponens,[status(thm)],[11501, 11500])).
% 2.74/2.23 tff(11503,plain,
% 2.74/2.23 ($false),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11502, 8279, 11496, 11275, 11495, 11264])).
% 2.74/2.23 tff(11504,plain,((~trans(s199, s120)) | until2p7(s120) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.23 tff(11505,plain,
% 2.74/2.23 (~trans(s199, s120)),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11504, 9650, 8266])).
% 2.74/2.23 tff(11506,assumption,(~until2p7(s162)), introduced(assumption)).
% 2.74/2.23 tff(11507,assumption,(trans(s199, s162)), introduced(assumption)).
% 2.74/2.23 tff(11508,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s162) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s162)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s162) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s162)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11509,plain,
% 2.74/2.23 (((~trans(s199, s162)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s162)) <=> (until2p7(s162) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s162)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11510,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s162)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s162) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s162))))),
% 2.74/2.23 inference(monotonicity,[status(thm)],[11509])).
% 2.74/2.23 tff(11511,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s162)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s162) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s162)))),
% 2.74/2.23 inference(transitivity,[status(thm)],[11510, 11508])).
% 2.74/2.23 tff(11512,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s162)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s162))),
% 2.74/2.23 inference(quant_inst,[status(thm)],[])).
% 2.74/2.23 tff(11513,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s162) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s162))),
% 2.74/2.23 inference(modus_ponens,[status(thm)],[11512, 11511])).
% 2.74/2.23 tff(11514,plain,
% 2.74/2.23 ($false),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11513, 8279, 11507, 11275, 11506, 11264])).
% 2.74/2.23 tff(11515,plain,((~trans(s199, s162)) | until2p7(s162) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.23 tff(11516,plain,
% 2.74/2.23 (~trans(s199, s162)),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11515, 9016, 8266])).
% 2.74/2.23 tff(11517,assumption,(~until2p7(s82)), introduced(assumption)).
% 2.74/2.23 tff(11518,assumption,(trans(s199, s82)), introduced(assumption)).
% 2.74/2.23 tff(11519,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s82) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s82)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s82) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s82)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11520,plain,
% 2.74/2.23 (((~trans(s199, s82)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s82)) <=> (until2p7(s82) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s82)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11521,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s82)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s82) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s82))))),
% 2.74/2.23 inference(monotonicity,[status(thm)],[11520])).
% 2.74/2.23 tff(11522,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s82)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s82) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s82)))),
% 2.74/2.23 inference(transitivity,[status(thm)],[11521, 11519])).
% 2.74/2.23 tff(11523,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s82)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s82))),
% 2.74/2.23 inference(quant_inst,[status(thm)],[])).
% 2.74/2.23 tff(11524,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s82) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s82))),
% 2.74/2.23 inference(modus_ponens,[status(thm)],[11523, 11522])).
% 2.74/2.23 tff(11525,plain,
% 2.74/2.23 ($false),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11524, 8279, 11518, 11275, 11517, 11264])).
% 2.74/2.23 tff(11526,plain,((~trans(s199, s82)) | until2p7(s82) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.23 tff(11527,plain,
% 2.74/2.23 (~trans(s199, s82)),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11526, 10276, 8266])).
% 2.74/2.23 tff(11528,assumption,(~until2p7(s130)), introduced(assumption)).
% 2.74/2.23 tff(11529,assumption,(trans(s199, s130)), introduced(assumption)).
% 2.74/2.23 tff(11530,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s130) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s130)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s130) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s130)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11531,plain,
% 2.74/2.23 (((~trans(s199, s130)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s130)) <=> (until2p7(s130) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s130)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11532,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s130)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s130) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s130))))),
% 2.74/2.23 inference(monotonicity,[status(thm)],[11531])).
% 2.74/2.23 tff(11533,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s130)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s130) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s130)))),
% 2.74/2.23 inference(transitivity,[status(thm)],[11532, 11530])).
% 2.74/2.23 tff(11534,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s130)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s130))),
% 2.74/2.23 inference(quant_inst,[status(thm)],[])).
% 2.74/2.23 tff(11535,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s130) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s130))),
% 2.74/2.23 inference(modus_ponens,[status(thm)],[11534, 11533])).
% 2.74/2.23 tff(11536,plain,
% 2.74/2.23 ($false),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11535, 8279, 11529, 11275, 11528, 11264])).
% 2.74/2.23 tff(11537,plain,((~trans(s199, s130)) | until2p7(s130) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.23 tff(11538,plain,
% 2.74/2.23 (~trans(s199, s130)),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11537, 9530, 8266])).
% 2.74/2.23 tff(11539,assumption,(~until2p7(s95)), introduced(assumption)).
% 2.74/2.23 tff(11540,assumption,(trans(s199, s95)), introduced(assumption)).
% 2.74/2.23 tff(11541,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s95) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s95)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s95) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s95)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11542,plain,
% 2.74/2.23 (((~trans(s199, s95)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s95)) <=> (until2p7(s95) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s95)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11543,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s95)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s95) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s95))))),
% 2.74/2.23 inference(monotonicity,[status(thm)],[11542])).
% 2.74/2.23 tff(11544,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s95)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s95) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s95)))),
% 2.74/2.23 inference(transitivity,[status(thm)],[11543, 11541])).
% 2.74/2.23 tff(11545,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s95)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s95))),
% 2.74/2.23 inference(quant_inst,[status(thm)],[])).
% 2.74/2.23 tff(11546,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s95) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s95))),
% 2.74/2.23 inference(modus_ponens,[status(thm)],[11545, 11544])).
% 2.74/2.23 tff(11547,plain,
% 2.74/2.23 ($false),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11546, 8279, 11540, 11275, 11539, 11264])).
% 2.74/2.23 tff(11548,plain,((~trans(s199, s95)) | until2p7(s95) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.23 tff(11549,plain,
% 2.74/2.23 (~trans(s199, s95)),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11548, 10052, 8266])).
% 2.74/2.23 tff(11550,assumption,(~until2p7(s7)), introduced(assumption)).
% 2.74/2.23 tff(11551,assumption,(trans(s199, s7)), introduced(assumption)).
% 2.74/2.23 tff(11552,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s7) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s7) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s7)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11553,plain,
% 2.74/2.23 (((~trans(s199, s7)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s7)) <=> (until2p7(s7) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s7)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11554,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s7)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s7) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s7))))),
% 2.74/2.23 inference(monotonicity,[status(thm)],[11553])).
% 2.74/2.23 tff(11555,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s7)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s7) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s7)))),
% 2.74/2.23 inference(transitivity,[status(thm)],[11554, 11552])).
% 2.74/2.23 tff(11556,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s7)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s7))),
% 2.74/2.23 inference(quant_inst,[status(thm)],[])).
% 2.74/2.23 tff(11557,plain,
% 2.74/2.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s7) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s7))),
% 2.74/2.23 inference(modus_ponens,[status(thm)],[11556, 11555])).
% 2.74/2.23 tff(11558,plain,
% 2.74/2.23 ($false),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11557, 8279, 11551, 11275, 11550, 11264])).
% 2.74/2.23 tff(11559,plain,((~trans(s199, s7)) | until2p7(s7) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.23 tff(11560,plain,
% 2.74/2.23 (~trans(s199, s7)),
% 2.74/2.23 inference(unit_resolution,[status(thm)],[11559, 11171, 8266])).
% 2.74/2.23 tff(11561,assumption,(~until2p7(s2)), introduced(assumption)).
% 2.74/2.23 tff(11562,assumption,(trans(s199, s2)), introduced(assumption)).
% 2.74/2.23 tff(11563,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s2) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s2) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s2)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11564,plain,
% 2.74/2.23 (((~trans(s199, s2)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s2)) <=> (until2p7(s2) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s2)))),
% 2.74/2.23 inference(rewrite,[status(thm)],[])).
% 2.74/2.23 tff(11565,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s2)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s2) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s2))))),
% 2.74/2.23 inference(monotonicity,[status(thm)],[11564])).
% 2.74/2.23 tff(11566,plain,
% 2.74/2.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s2)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s2) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s2)))),
% 2.74/2.24 inference(transitivity,[status(thm)],[11565, 11563])).
% 2.74/2.24 tff(11567,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s2)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s2))),
% 2.74/2.24 inference(quant_inst,[status(thm)],[])).
% 2.74/2.24 tff(11568,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s2) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s2))),
% 2.74/2.24 inference(modus_ponens,[status(thm)],[11567, 11566])).
% 2.74/2.24 tff(11569,plain,
% 2.74/2.24 ($false),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11568, 8279, 11562, 11275, 11561, 11264])).
% 2.74/2.24 tff(11570,plain,((~trans(s199, s2)) | until2p7(s2) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.24 tff(11571,plain,
% 2.74/2.24 (~trans(s199, s2)),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11570, 11231, 8266])).
% 2.74/2.24 tff(11572,assumption,(~until2p7(s6)), introduced(assumption)).
% 2.74/2.24 tff(11573,assumption,(trans(s199, s6)), introduced(assumption)).
% 2.74/2.24 tff(11574,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s6) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s6) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s6)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11575,plain,
% 2.74/2.24 (((~trans(s199, s6)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s6)) <=> (until2p7(s6) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s6)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11576,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s6)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s6) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s6))))),
% 2.74/2.24 inference(monotonicity,[status(thm)],[11575])).
% 2.74/2.24 tff(11577,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s6)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s6) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s6)))),
% 2.74/2.24 inference(transitivity,[status(thm)],[11576, 11574])).
% 2.74/2.24 tff(11578,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s6)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s6))),
% 2.74/2.24 inference(quant_inst,[status(thm)],[])).
% 2.74/2.24 tff(11579,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s6) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s6))),
% 2.74/2.24 inference(modus_ponens,[status(thm)],[11578, 11577])).
% 2.74/2.24 tff(11580,plain,
% 2.74/2.24 ($false),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11579, 8279, 11573, 11275, 11572, 11264])).
% 2.74/2.24 tff(11581,plain,((~trans(s199, s6)) | until2p7(s6) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.24 tff(11582,plain,
% 2.74/2.24 (~trans(s199, s6)),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11581, 11183, 8266])).
% 2.74/2.24 tff(11583,assumption,(~until2p7(s88)), introduced(assumption)).
% 2.74/2.24 tff(11584,assumption,(trans(s199, s88)), introduced(assumption)).
% 2.74/2.24 tff(11585,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s88) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s88)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s88) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s88)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11586,plain,
% 2.74/2.24 (((~trans(s199, s88)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s88)) <=> (until2p7(s88) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s88)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11587,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s88)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s88) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s88))))),
% 2.74/2.24 inference(monotonicity,[status(thm)],[11586])).
% 2.74/2.24 tff(11588,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s88)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s88) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s88)))),
% 2.74/2.24 inference(transitivity,[status(thm)],[11587, 11585])).
% 2.74/2.24 tff(11589,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s88)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s88))),
% 2.74/2.24 inference(quant_inst,[status(thm)],[])).
% 2.74/2.24 tff(11590,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s88) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s88))),
% 2.74/2.24 inference(modus_ponens,[status(thm)],[11589, 11588])).
% 2.74/2.24 tff(11591,plain,
% 2.74/2.24 ($false),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11590, 8279, 11584, 11275, 11583, 11264])).
% 2.74/2.24 tff(11592,plain,((~trans(s199, s88)) | until2p7(s88) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.24 tff(11593,plain,
% 2.74/2.24 (~trans(s199, s88)),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11592, 10170, 8266])).
% 2.74/2.24 tff(11594,assumption,(~until2p7(s155)), introduced(assumption)).
% 2.74/2.24 tff(11595,assumption,(trans(s199, s155)), introduced(assumption)).
% 2.74/2.24 tff(11596,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s155) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s155)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s155) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s155)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11597,plain,
% 2.74/2.24 (((~trans(s199, s155)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s155)) <=> (until2p7(s155) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s155)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11598,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s155)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s155) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s155))))),
% 2.74/2.24 inference(monotonicity,[status(thm)],[11597])).
% 2.74/2.24 tff(11599,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s155)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s155) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s155)))),
% 2.74/2.24 inference(transitivity,[status(thm)],[11598, 11596])).
% 2.74/2.24 tff(11600,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s155)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s155))),
% 2.74/2.24 inference(quant_inst,[status(thm)],[])).
% 2.74/2.24 tff(11601,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s155) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s155))),
% 2.74/2.24 inference(modus_ponens,[status(thm)],[11600, 11599])).
% 2.74/2.24 tff(11602,plain,
% 2.74/2.24 ($false),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11601, 8279, 11595, 11275, 11594, 11264])).
% 2.74/2.24 tff(11603,plain,((~trans(s199, s155)) | until2p7(s155) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.24 tff(11604,plain,
% 2.74/2.24 (~trans(s199, s155)),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11603, 9135, 8266])).
% 2.74/2.24 tff(11605,assumption,(~until2p7(s79)), introduced(assumption)).
% 2.74/2.24 tff(11606,assumption,(trans(s199, s79)), introduced(assumption)).
% 2.74/2.24 tff(11607,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s79) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s79)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s79) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s79)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11608,plain,
% 2.74/2.24 (((~trans(s199, s79)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s79)) <=> (until2p7(s79) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s79)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11609,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s79)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s79) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s79))))),
% 2.74/2.24 inference(monotonicity,[status(thm)],[11608])).
% 2.74/2.24 tff(11610,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s79)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s79) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s79)))),
% 2.74/2.24 inference(transitivity,[status(thm)],[11609, 11607])).
% 2.74/2.24 tff(11611,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s79)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s79))),
% 2.74/2.24 inference(quant_inst,[status(thm)],[])).
% 2.74/2.24 tff(11612,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s79) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s79))),
% 2.74/2.24 inference(modus_ponens,[status(thm)],[11611, 11610])).
% 2.74/2.24 tff(11613,plain,
% 2.74/2.24 ($false),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11612, 8279, 11606, 11275, 11605, 11264])).
% 2.74/2.24 tff(11614,plain,((~trans(s199, s79)) | until2p7(s79) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.24 tff(11615,plain,
% 2.74/2.24 (~trans(s199, s79)),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11614, 10312, 8266])).
% 2.74/2.24 tff(11616,assumption,(~until2p7(s143)), introduced(assumption)).
% 2.74/2.24 tff(11617,assumption,(trans(s199, s143)), introduced(assumption)).
% 2.74/2.24 tff(11618,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s143) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s143)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s143) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s143)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11619,plain,
% 2.74/2.24 (((~trans(s199, s143)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s143)) <=> (until2p7(s143) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s143)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11620,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s143)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s143) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s143))))),
% 2.74/2.24 inference(monotonicity,[status(thm)],[11619])).
% 2.74/2.24 tff(11621,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s143)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s143) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s143)))),
% 2.74/2.24 inference(transitivity,[status(thm)],[11620, 11618])).
% 2.74/2.24 tff(11622,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s143)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s143))),
% 2.74/2.24 inference(quant_inst,[status(thm)],[])).
% 2.74/2.24 tff(11623,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s143) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s143))),
% 2.74/2.24 inference(modus_ponens,[status(thm)],[11622, 11621])).
% 2.74/2.24 tff(11624,plain,
% 2.74/2.24 ($false),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11623, 8279, 11617, 11275, 11616, 11264])).
% 2.74/2.24 tff(11625,plain,((~trans(s199, s143)) | until2p7(s143) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.24 tff(11626,plain,
% 2.74/2.24 (~trans(s199, s143)),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11625, 9374, 8266])).
% 2.74/2.24 tff(11627,assumption,(~until2p7(s37)), introduced(assumption)).
% 2.74/2.24 tff(11628,assumption,(trans(s199, s37)), introduced(assumption)).
% 2.74/2.24 tff(11629,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s37) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s37)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s37) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s37)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11630,plain,
% 2.74/2.24 (((~trans(s199, s37)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s37)) <=> (until2p7(s37) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s37)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11631,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s37)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s37) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s37))))),
% 2.74/2.24 inference(monotonicity,[status(thm)],[11630])).
% 2.74/2.24 tff(11632,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s37)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s37) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s37)))),
% 2.74/2.24 inference(transitivity,[status(thm)],[11631, 11629])).
% 2.74/2.24 tff(11633,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s37)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s37))),
% 2.74/2.24 inference(quant_inst,[status(thm)],[])).
% 2.74/2.24 tff(11634,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s37) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s37))),
% 2.74/2.24 inference(modus_ponens,[status(thm)],[11633, 11632])).
% 2.74/2.24 tff(11635,plain,
% 2.74/2.24 ($false),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11634, 8279, 11628, 11275, 11627, 11264])).
% 2.74/2.24 tff(11636,plain,((~trans(s199, s37)) | until2p7(s37) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.24 tff(11637,plain,
% 2.74/2.24 (~trans(s199, s37)),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11636, 10816, 8266])).
% 2.74/2.24 tff(11638,assumption,(~until2p7(s165)), introduced(assumption)).
% 2.74/2.24 tff(11639,assumption,(trans(s199, s165)), introduced(assumption)).
% 2.74/2.24 tff(11640,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s165) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s165)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s165) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s165)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11641,plain,
% 2.74/2.24 (((~trans(s199, s165)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s165)) <=> (until2p7(s165) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s165)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11642,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s165)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s165) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s165))))),
% 2.74/2.24 inference(monotonicity,[status(thm)],[11641])).
% 2.74/2.24 tff(11643,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s165)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s165) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s165)))),
% 2.74/2.24 inference(transitivity,[status(thm)],[11642, 11640])).
% 2.74/2.24 tff(11644,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s165)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s165))),
% 2.74/2.24 inference(quant_inst,[status(thm)],[])).
% 2.74/2.24 tff(11645,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s165) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s165))),
% 2.74/2.24 inference(modus_ponens,[status(thm)],[11644, 11643])).
% 2.74/2.24 tff(11646,plain,
% 2.74/2.24 ($false),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11645, 8279, 11639, 11275, 11638, 11264])).
% 2.74/2.24 tff(11647,plain,((~trans(s199, s165)) | until2p7(s165) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.24 tff(11648,plain,
% 2.74/2.24 (~trans(s199, s165)),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11647, 8952, 8266])).
% 2.74/2.24 tff(11649,assumption,(~until2p7(s128)), introduced(assumption)).
% 2.74/2.24 tff(11650,assumption,(trans(s199, s128)), introduced(assumption)).
% 2.74/2.24 tff(11651,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s128) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s128)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s128) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s128)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11652,plain,
% 2.74/2.24 (((~trans(s199, s128)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s128)) <=> (until2p7(s128) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s128)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11653,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s128)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s128) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s128))))),
% 2.74/2.24 inference(monotonicity,[status(thm)],[11652])).
% 2.74/2.24 tff(11654,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s128)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s128) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s128)))),
% 2.74/2.24 inference(transitivity,[status(thm)],[11653, 11651])).
% 2.74/2.24 tff(11655,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s128)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s128))),
% 2.74/2.24 inference(quant_inst,[status(thm)],[])).
% 2.74/2.24 tff(11656,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s128) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s128))),
% 2.74/2.24 inference(modus_ponens,[status(thm)],[11655, 11654])).
% 2.74/2.24 tff(11657,plain,
% 2.74/2.24 ($false),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11656, 8279, 11650, 11275, 11649, 11264])).
% 2.74/2.24 tff(11658,plain,((~trans(s199, s128)) | until2p7(s128) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.24 tff(11659,plain,
% 2.74/2.24 (~trans(s199, s128)),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11658, 9554, 8266])).
% 2.74/2.24 tff(11660,assumption,(~until2p7(s159)), introduced(assumption)).
% 2.74/2.24 tff(11661,assumption,(trans(s199, s159)), introduced(assumption)).
% 2.74/2.24 tff(11662,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s159) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s159)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s159) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s159)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11663,plain,
% 2.74/2.24 (((~trans(s199, s159)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s159)) <=> (until2p7(s159) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s159)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11664,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s159)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s159) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s159))))),
% 2.74/2.24 inference(monotonicity,[status(thm)],[11663])).
% 2.74/2.24 tff(11665,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s159)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s159) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s159)))),
% 2.74/2.24 inference(transitivity,[status(thm)],[11664, 11662])).
% 2.74/2.24 tff(11666,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s159)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s159))),
% 2.74/2.24 inference(quant_inst,[status(thm)],[])).
% 2.74/2.24 tff(11667,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s159) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s159))),
% 2.74/2.24 inference(modus_ponens,[status(thm)],[11666, 11665])).
% 2.74/2.24 tff(11668,plain,
% 2.74/2.24 ($false),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11667, 8279, 11661, 11275, 11660, 11264])).
% 2.74/2.24 tff(11669,plain,((~trans(s199, s159)) | until2p7(s159) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.24 tff(11670,plain,
% 2.74/2.24 (~trans(s199, s159)),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11669, 9087, 8266])).
% 2.74/2.24 tff(11671,assumption,(~until2p7(s30)), introduced(assumption)).
% 2.74/2.24 tff(11672,assumption,(trans(s199, s30)), introduced(assumption)).
% 2.74/2.24 tff(11673,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s30) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s30)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s30) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s30)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11674,plain,
% 2.74/2.24 (((~trans(s199, s30)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s30)) <=> (until2p7(s30) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s30)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11675,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s30)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s30) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s30))))),
% 2.74/2.24 inference(monotonicity,[status(thm)],[11674])).
% 2.74/2.24 tff(11676,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s30)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s30) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s30)))),
% 2.74/2.24 inference(transitivity,[status(thm)],[11675, 11673])).
% 2.74/2.24 tff(11677,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s30)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s30))),
% 2.74/2.24 inference(quant_inst,[status(thm)],[])).
% 2.74/2.24 tff(11678,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s30) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s30))),
% 2.74/2.24 inference(modus_ponens,[status(thm)],[11677, 11676])).
% 2.74/2.24 tff(11679,plain,
% 2.74/2.24 ($false),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11678, 8279, 11672, 11275, 11671, 11264])).
% 2.74/2.24 tff(11680,plain,((~trans(s199, s30)) | until2p7(s30) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.24 tff(11681,plain,
% 2.74/2.24 (~trans(s199, s30)),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11680, 10897, 8266])).
% 2.74/2.24 tff(11682,assumption,(~until2p7(s114)), introduced(assumption)).
% 2.74/2.24 tff(11683,assumption,(trans(s199, s114)), introduced(assumption)).
% 2.74/2.24 tff(11684,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s114) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s114)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s114) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s114)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11685,plain,
% 2.74/2.24 (((~trans(s199, s114)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s114)) <=> (until2p7(s114) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s114)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11686,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s114)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s114) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s114))))),
% 2.74/2.24 inference(monotonicity,[status(thm)],[11685])).
% 2.74/2.24 tff(11687,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s114)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s114) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s114)))),
% 2.74/2.24 inference(transitivity,[status(thm)],[11686, 11684])).
% 2.74/2.24 tff(11688,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s114)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s114))),
% 2.74/2.24 inference(quant_inst,[status(thm)],[])).
% 2.74/2.24 tff(11689,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s114) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s114))),
% 2.74/2.24 inference(modus_ponens,[status(thm)],[11688, 11687])).
% 2.74/2.24 tff(11690,plain,
% 2.74/2.24 ($false),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11689, 8279, 11683, 11275, 11682, 11264])).
% 2.74/2.24 tff(11691,plain,((~trans(s199, s114)) | until2p7(s114) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.24 tff(11692,plain,
% 2.74/2.24 (~trans(s199, s114)),
% 2.74/2.24 inference(unit_resolution,[status(thm)],[11691, 9722, 8266])).
% 2.74/2.24 tff(11693,assumption,(~until2p7(s66)), introduced(assumption)).
% 2.74/2.24 tff(11694,assumption,(trans(s199, s66)), introduced(assumption)).
% 2.74/2.24 tff(11695,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s66) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s66)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s66) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s66)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11696,plain,
% 2.74/2.24 (((~trans(s199, s66)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s66)) <=> (until2p7(s66) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s66)))),
% 2.74/2.24 inference(rewrite,[status(thm)],[])).
% 2.74/2.24 tff(11697,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s66)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s66) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s66))))),
% 2.74/2.24 inference(monotonicity,[status(thm)],[11696])).
% 2.74/2.24 tff(11698,plain,
% 2.74/2.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s66)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s66) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s66)))),
% 2.74/2.24 inference(transitivity,[status(thm)],[11697, 11695])).
% 2.74/2.24 tff(11699,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s66)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s66))),
% 2.74/2.24 inference(quant_inst,[status(thm)],[])).
% 2.74/2.24 tff(11700,plain,
% 2.74/2.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s66) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s66))),
% 2.74/2.25 inference(modus_ponens,[status(thm)],[11699, 11698])).
% 2.74/2.25 tff(11701,plain,
% 2.74/2.25 ($false),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11700, 8279, 11694, 11275, 11693, 11264])).
% 2.74/2.25 tff(11702,plain,((~trans(s199, s66)) | until2p7(s66) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.25 tff(11703,plain,
% 2.74/2.25 (~trans(s199, s66)),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11702, 10468, 8266])).
% 2.74/2.25 tff(11704,assumption,(~until2p7(s98)), introduced(assumption)).
% 2.74/2.25 tff(11705,assumption,(trans(s199, s98)), introduced(assumption)).
% 2.74/2.25 tff(11706,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s98) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s98)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s98) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s98)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11707,plain,
% 2.74/2.25 (((~trans(s199, s98)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s98)) <=> (until2p7(s98) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s98)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11708,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s98)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s98) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s98))))),
% 2.74/2.25 inference(monotonicity,[status(thm)],[11707])).
% 2.74/2.25 tff(11709,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s98)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s98) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s98)))),
% 2.74/2.25 inference(transitivity,[status(thm)],[11708, 11706])).
% 2.74/2.25 tff(11710,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s98)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s98))),
% 2.74/2.25 inference(quant_inst,[status(thm)],[])).
% 2.74/2.25 tff(11711,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s98) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s98))),
% 2.74/2.25 inference(modus_ponens,[status(thm)],[11710, 11709])).
% 2.74/2.25 tff(11712,plain,
% 2.74/2.25 ($false),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11711, 8279, 11705, 11275, 11704, 11264])).
% 2.74/2.25 tff(11713,plain,((~trans(s199, s98)) | until2p7(s98) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.25 tff(11714,plain,
% 2.74/2.25 (~trans(s199, s98)),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11713, 9982, 8266])).
% 2.74/2.25 tff(11715,assumption,(~until2p7(s174)), introduced(assumption)).
% 2.74/2.25 tff(11716,assumption,(trans(s199, s174)), introduced(assumption)).
% 2.74/2.25 tff(11717,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s174) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s174)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s174) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s174)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11718,plain,
% 2.74/2.25 (((~trans(s199, s174)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s174)) <=> (until2p7(s174) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s174)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11719,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s174)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s174) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s174))))),
% 2.74/2.25 inference(monotonicity,[status(thm)],[11718])).
% 2.74/2.25 tff(11720,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s174)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s174) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s174)))),
% 2.74/2.25 inference(transitivity,[status(thm)],[11719, 11717])).
% 2.74/2.25 tff(11721,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s174)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s174))),
% 2.74/2.25 inference(quant_inst,[status(thm)],[])).
% 2.74/2.25 tff(11722,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s174) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s174))),
% 2.74/2.25 inference(modus_ponens,[status(thm)],[11721, 11720])).
% 2.74/2.25 tff(11723,plain,
% 2.74/2.25 ($false),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11722, 8279, 11716, 11275, 11715, 11264])).
% 2.74/2.25 tff(11724,plain,((~trans(s199, s174)) | until2p7(s174) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.25 tff(11725,plain,
% 2.74/2.25 (~trans(s199, s174)),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11724, 8750, 8266])).
% 2.74/2.25 tff(11726,assumption,(~until2p7(s142)), introduced(assumption)).
% 2.74/2.25 tff(11727,assumption,(trans(s199, s142)), introduced(assumption)).
% 2.74/2.25 tff(11728,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s142) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s142)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s142) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s142)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11729,plain,
% 2.74/2.25 (((~trans(s199, s142)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s142)) <=> (until2p7(s142) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s142)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11730,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s142)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s142) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s142))))),
% 2.74/2.25 inference(monotonicity,[status(thm)],[11729])).
% 2.74/2.25 tff(11731,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s142)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s142) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s142)))),
% 2.74/2.25 inference(transitivity,[status(thm)],[11730, 11728])).
% 2.74/2.25 tff(11732,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s142)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s142))),
% 2.74/2.25 inference(quant_inst,[status(thm)],[])).
% 2.74/2.25 tff(11733,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s142) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s142))),
% 2.74/2.25 inference(modus_ponens,[status(thm)],[11732, 11731])).
% 2.74/2.25 tff(11734,plain,
% 2.74/2.25 ($false),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11733, 8279, 11727, 11275, 11726, 11264])).
% 2.74/2.25 tff(11735,plain,((~trans(s199, s142)) | until2p7(s142) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.25 tff(11736,plain,
% 2.74/2.25 (~trans(s199, s142)),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11735, 9386, 8266])).
% 2.74/2.25 tff(11737,assumption,(~until2p7(s84)), introduced(assumption)).
% 2.74/2.25 tff(11738,assumption,(trans(s199, s84)), introduced(assumption)).
% 2.74/2.25 tff(11739,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s84) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s84)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s84) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s84)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11740,plain,
% 2.74/2.25 (((~trans(s199, s84)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s84)) <=> (until2p7(s84) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s84)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11741,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s84)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s84) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s84))))),
% 2.74/2.25 inference(monotonicity,[status(thm)],[11740])).
% 2.74/2.25 tff(11742,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s84)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s84) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s84)))),
% 2.74/2.25 inference(transitivity,[status(thm)],[11741, 11739])).
% 2.74/2.25 tff(11743,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s84)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s84))),
% 2.74/2.25 inference(quant_inst,[status(thm)],[])).
% 2.74/2.25 tff(11744,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s84) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s84))),
% 2.74/2.25 inference(modus_ponens,[status(thm)],[11743, 11742])).
% 2.74/2.25 tff(11745,plain,
% 2.74/2.25 ($false),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11744, 8279, 11738, 11275, 11737, 11264])).
% 2.74/2.25 tff(11746,plain,((~trans(s199, s84)) | until2p7(s84) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.25 tff(11747,plain,
% 2.74/2.25 (~trans(s199, s84)),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11746, 10252, 8266])).
% 2.74/2.25 tff(11748,assumption,(~until2p7(s187)), introduced(assumption)).
% 2.74/2.25 tff(11749,assumption,(trans(s199, s187)), introduced(assumption)).
% 2.74/2.25 tff(11750,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s187) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s187)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s187) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s187)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11751,plain,
% 2.74/2.25 (((~trans(s199, s187)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s187)) <=> (until2p7(s187) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s187)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11752,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s187)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s187) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s187))))),
% 2.74/2.25 inference(monotonicity,[status(thm)],[11751])).
% 2.74/2.25 tff(11753,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s187)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s187) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s187)))),
% 2.74/2.25 inference(transitivity,[status(thm)],[11752, 11750])).
% 2.74/2.25 tff(11754,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s187)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s187))),
% 2.74/2.25 inference(quant_inst,[status(thm)],[])).
% 2.74/2.25 tff(11755,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s187) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s187))),
% 2.74/2.25 inference(modus_ponens,[status(thm)],[11754, 11753])).
% 2.74/2.25 tff(11756,plain,
% 2.74/2.25 ($false),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11755, 8279, 11749, 11275, 11748, 11264])).
% 2.74/2.25 tff(11757,plain,((~trans(s199, s187)) | until2p7(s187) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.25 tff(11758,plain,
% 2.74/2.25 (~trans(s199, s187)),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11757, 8480, 8266])).
% 2.74/2.25 tff(11759,assumption,(~until2p7(s181)), introduced(assumption)).
% 2.74/2.25 tff(11760,assumption,(trans(s199, s181)), introduced(assumption)).
% 2.74/2.25 tff(11761,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s181) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s181)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s181) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s181)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11762,plain,
% 2.74/2.25 (((~trans(s199, s181)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s181)) <=> (until2p7(s181) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s181)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11763,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s181)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s181) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s181))))),
% 2.74/2.25 inference(monotonicity,[status(thm)],[11762])).
% 2.74/2.25 tff(11764,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s181)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s181) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s181)))),
% 2.74/2.25 inference(transitivity,[status(thm)],[11763, 11761])).
% 2.74/2.25 tff(11765,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s181)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s181))),
% 2.74/2.25 inference(quant_inst,[status(thm)],[])).
% 2.74/2.25 tff(11766,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s181) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s181))),
% 2.74/2.25 inference(modus_ponens,[status(thm)],[11765, 11764])).
% 2.74/2.25 tff(11767,plain,
% 2.74/2.25 ($false),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11766, 8279, 11760, 11275, 11759, 11264])).
% 2.74/2.25 tff(11768,plain,((~trans(s199, s181)) | until2p7(s181) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.25 tff(11769,plain,
% 2.74/2.25 (~trans(s199, s181)),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11768, 8611, 8266])).
% 2.74/2.25 tff(11770,assumption,(~until2p7(s156)), introduced(assumption)).
% 2.74/2.25 tff(11771,assumption,(trans(s199, s156)), introduced(assumption)).
% 2.74/2.25 tff(11772,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s156) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s156)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s156) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s156)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11773,plain,
% 2.74/2.25 (((~trans(s199, s156)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s156)) <=> (until2p7(s156) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s156)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11774,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s156)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s156) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s156))))),
% 2.74/2.25 inference(monotonicity,[status(thm)],[11773])).
% 2.74/2.25 tff(11775,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s156)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s156) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s156)))),
% 2.74/2.25 inference(transitivity,[status(thm)],[11774, 11772])).
% 2.74/2.25 tff(11776,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s156)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s156))),
% 2.74/2.25 inference(quant_inst,[status(thm)],[])).
% 2.74/2.25 tff(11777,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s156) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s156))),
% 2.74/2.25 inference(modus_ponens,[status(thm)],[11776, 11775])).
% 2.74/2.25 tff(11778,plain,
% 2.74/2.25 ($false),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11777, 8279, 11771, 11275, 11770, 11264])).
% 2.74/2.25 tff(11779,plain,((~trans(s199, s156)) | until2p7(s156) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.25 tff(11780,plain,
% 2.74/2.25 (~trans(s199, s156)),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11779, 9123, 8266])).
% 2.74/2.25 tff(11781,assumption,(~until2p7(s177)), introduced(assumption)).
% 2.74/2.25 tff(11782,assumption,(trans(s199, s177)), introduced(assumption)).
% 2.74/2.25 tff(11783,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s177) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s177)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s177) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s177)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11784,plain,
% 2.74/2.25 (((~trans(s199, s177)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s177)) <=> (until2p7(s177) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s177)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11785,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s177)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s177) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s177))))),
% 2.74/2.25 inference(monotonicity,[status(thm)],[11784])).
% 2.74/2.25 tff(11786,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s177)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s177) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s177)))),
% 2.74/2.25 inference(transitivity,[status(thm)],[11785, 11783])).
% 2.74/2.25 tff(11787,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s177)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s177))),
% 2.74/2.25 inference(quant_inst,[status(thm)],[])).
% 2.74/2.25 tff(11788,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s177) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s177))),
% 2.74/2.25 inference(modus_ponens,[status(thm)],[11787, 11786])).
% 2.74/2.25 tff(11789,plain,
% 2.74/2.25 ($false),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11788, 8279, 11782, 11275, 11781, 11264])).
% 2.74/2.25 tff(11790,plain,((~trans(s199, s177)) | until2p7(s177) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.25 tff(11791,plain,
% 2.74/2.25 (~trans(s199, s177)),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11790, 8717, 8266])).
% 2.74/2.25 tff(11792,assumption,(~until2p7(s179)), introduced(assumption)).
% 2.74/2.25 tff(11793,assumption,(trans(s199, s179)), introduced(assumption)).
% 2.74/2.25 tff(11794,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s179) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s179)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s179) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s179)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11795,plain,
% 2.74/2.25 (((~trans(s199, s179)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s179)) <=> (until2p7(s179) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s179)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11796,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s179)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s179) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s179))))),
% 2.74/2.25 inference(monotonicity,[status(thm)],[11795])).
% 2.74/2.25 tff(11797,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s179)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s179) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s179)))),
% 2.74/2.25 inference(transitivity,[status(thm)],[11796, 11794])).
% 2.74/2.25 tff(11798,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s179)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s179))),
% 2.74/2.25 inference(quant_inst,[status(thm)],[])).
% 2.74/2.25 tff(11799,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s179) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s179))),
% 2.74/2.25 inference(modus_ponens,[status(thm)],[11798, 11797])).
% 2.74/2.25 tff(11800,plain,
% 2.74/2.25 ($false),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11799, 8279, 11793, 11275, 11792, 11264])).
% 2.74/2.25 tff(11801,plain,((~trans(s199, s179)) | until2p7(s179) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.25 tff(11802,plain,
% 2.74/2.25 (~trans(s199, s179)),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11801, 8633, 8266])).
% 2.74/2.25 tff(11803,assumption,(~until2p7(s180)), introduced(assumption)).
% 2.74/2.25 tff(11804,assumption,(trans(s199, s180)), introduced(assumption)).
% 2.74/2.25 tff(11805,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s180) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s180)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s180) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s180)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11806,plain,
% 2.74/2.25 (((~trans(s199, s180)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s180)) <=> (until2p7(s180) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s180)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11807,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s180)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s180) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s180))))),
% 2.74/2.25 inference(monotonicity,[status(thm)],[11806])).
% 2.74/2.25 tff(11808,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s180)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s180) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s180)))),
% 2.74/2.25 inference(transitivity,[status(thm)],[11807, 11805])).
% 2.74/2.25 tff(11809,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s180)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s180))),
% 2.74/2.25 inference(quant_inst,[status(thm)],[])).
% 2.74/2.25 tff(11810,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s180) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s180))),
% 2.74/2.25 inference(modus_ponens,[status(thm)],[11809, 11808])).
% 2.74/2.25 tff(11811,plain,
% 2.74/2.25 ($false),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11810, 8279, 11804, 11275, 11803, 11264])).
% 2.74/2.25 tff(11812,plain,((~trans(s199, s180)) | until2p7(s180) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.25 tff(11813,plain,
% 2.74/2.25 (~trans(s199, s180)),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11812, 8622, 8266])).
% 2.74/2.25 tff(11814,assumption,(~until2p7(s105)), introduced(assumption)).
% 2.74/2.25 tff(11815,assumption,(trans(s199, s105)), introduced(assumption)).
% 2.74/2.25 tff(11816,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s105) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s105)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s105) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s105)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11817,plain,
% 2.74/2.25 (((~trans(s199, s105)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s105)) <=> (until2p7(s105) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s105)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11818,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s105)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s105) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s105))))),
% 2.74/2.25 inference(monotonicity,[status(thm)],[11817])).
% 2.74/2.25 tff(11819,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s105)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s105) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s105)))),
% 2.74/2.25 inference(transitivity,[status(thm)],[11818, 11816])).
% 2.74/2.25 tff(11820,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s105)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s105))),
% 2.74/2.25 inference(quant_inst,[status(thm)],[])).
% 2.74/2.25 tff(11821,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s105) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s105))),
% 2.74/2.25 inference(modus_ponens,[status(thm)],[11820, 11819])).
% 2.74/2.25 tff(11822,plain,
% 2.74/2.25 ($false),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11821, 8279, 11815, 11275, 11814, 11264])).
% 2.74/2.25 tff(11823,plain,((~trans(s199, s105)) | until2p7(s105) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.25 tff(11824,plain,
% 2.74/2.25 (~trans(s199, s105)),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11823, 9830, 8266])).
% 2.74/2.25 tff(11825,assumption,(~until2p7(s107)), introduced(assumption)).
% 2.74/2.25 tff(11826,assumption,(trans(s199, s107)), introduced(assumption)).
% 2.74/2.25 tff(11827,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s107) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s107)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s107) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s107)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11828,plain,
% 2.74/2.25 (((~trans(s199, s107)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s107)) <=> (until2p7(s107) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s107)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11829,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s107)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s107) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s107))))),
% 2.74/2.25 inference(monotonicity,[status(thm)],[11828])).
% 2.74/2.25 tff(11830,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s107)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s107) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s107)))),
% 2.74/2.25 inference(transitivity,[status(thm)],[11829, 11827])).
% 2.74/2.25 tff(11831,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s107)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s107))),
% 2.74/2.25 inference(quant_inst,[status(thm)],[])).
% 2.74/2.25 tff(11832,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s107) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s107))),
% 2.74/2.25 inference(modus_ponens,[status(thm)],[11831, 11830])).
% 2.74/2.25 tff(11833,plain,
% 2.74/2.25 ($false),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11832, 8279, 11826, 11275, 11825, 11264])).
% 2.74/2.25 tff(11834,plain,((~trans(s199, s107)) | until2p7(s107) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.25 tff(11835,plain,
% 2.74/2.25 (~trans(s199, s107)),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11834, 9806, 8266])).
% 2.74/2.25 tff(11836,assumption,(~until2p7(s21)), introduced(assumption)).
% 2.74/2.25 tff(11837,assumption,(trans(s199, s21)), introduced(assumption)).
% 2.74/2.25 tff(11838,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s21) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s21)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s21) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s21)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11839,plain,
% 2.74/2.25 (((~trans(s199, s21)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s21)) <=> (until2p7(s21) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s21)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11840,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s21)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s21) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s21))))),
% 2.74/2.25 inference(monotonicity,[status(thm)],[11839])).
% 2.74/2.25 tff(11841,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s21)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s21) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s21)))),
% 2.74/2.25 inference(transitivity,[status(thm)],[11840, 11838])).
% 2.74/2.25 tff(11842,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s21)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s21))),
% 2.74/2.25 inference(quant_inst,[status(thm)],[])).
% 2.74/2.25 tff(11843,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s21) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s21))),
% 2.74/2.25 inference(modus_ponens,[status(thm)],[11842, 11841])).
% 2.74/2.25 tff(11844,plain,
% 2.74/2.25 ($false),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11843, 8279, 11837, 11275, 11836, 11264])).
% 2.74/2.25 tff(11845,plain,((~trans(s199, s21)) | until2p7(s21) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.25 tff(11846,plain,
% 2.74/2.25 (~trans(s199, s21)),
% 2.74/2.25 inference(unit_resolution,[status(thm)],[11845, 11005, 8266])).
% 2.74/2.25 tff(11847,assumption,(~until2p7(s191)), introduced(assumption)).
% 2.74/2.25 tff(11848,assumption,(trans(s199, s191)), introduced(assumption)).
% 2.74/2.25 tff(11849,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s191) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s191)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s191) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s191)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11850,plain,
% 2.74/2.25 (((~trans(s199, s191)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s191)) <=> (until2p7(s191) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s191)))),
% 2.74/2.25 inference(rewrite,[status(thm)],[])).
% 2.74/2.25 tff(11851,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s191)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s191) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s191))))),
% 2.74/2.25 inference(monotonicity,[status(thm)],[11850])).
% 2.74/2.25 tff(11852,plain,
% 2.74/2.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s191)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s191) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s191)))),
% 2.74/2.25 inference(transitivity,[status(thm)],[11851, 11849])).
% 2.74/2.25 tff(11853,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s191)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s191))),
% 2.74/2.25 inference(quant_inst,[status(thm)],[])).
% 2.74/2.25 tff(11854,plain,
% 2.74/2.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s191) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s191))),
% 2.74/2.26 inference(modus_ponens,[status(thm)],[11853, 11852])).
% 2.74/2.26 tff(11855,plain,
% 2.74/2.26 ($false),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11854, 8279, 11848, 11275, 11847, 11264])).
% 2.74/2.26 tff(11856,plain,((~trans(s199, s191)) | until2p7(s191) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.26 tff(11857,plain,
% 2.74/2.26 (~trans(s199, s191)),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11856, 8439, 8266])).
% 2.74/2.26 tff(11858,assumption,(~until2p7(s157)), introduced(assumption)).
% 2.74/2.26 tff(11859,assumption,(trans(s199, s157)), introduced(assumption)).
% 2.74/2.26 tff(11860,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s157) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s157)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s157) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s157)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11861,plain,
% 2.74/2.26 (((~trans(s199, s157)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s157)) <=> (until2p7(s157) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s157)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11862,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s157)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s157) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s157))))),
% 2.74/2.26 inference(monotonicity,[status(thm)],[11861])).
% 2.74/2.26 tff(11863,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s157)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s157) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s157)))),
% 2.74/2.26 inference(transitivity,[status(thm)],[11862, 11860])).
% 2.74/2.26 tff(11864,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s157)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s157))),
% 2.74/2.26 inference(quant_inst,[status(thm)],[])).
% 2.74/2.26 tff(11865,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s157) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s157))),
% 2.74/2.26 inference(modus_ponens,[status(thm)],[11864, 11863])).
% 2.74/2.26 tff(11866,plain,
% 2.74/2.26 ($false),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11865, 8279, 11859, 11275, 11858, 11264])).
% 2.74/2.26 tff(11867,plain,((~trans(s199, s157)) | until2p7(s157) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.26 tff(11868,plain,
% 2.74/2.26 (~trans(s199, s157)),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11867, 9111, 8266])).
% 2.74/2.26 tff(11869,assumption,(~until2p7(s35)), introduced(assumption)).
% 2.74/2.26 tff(11870,assumption,(trans(s199, s35)), introduced(assumption)).
% 2.74/2.26 tff(11871,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s35) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s35)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s35) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s35)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11872,plain,
% 2.74/2.26 (((~trans(s199, s35)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s35)) <=> (until2p7(s35) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s35)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11873,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s35)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s35) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s35))))),
% 2.74/2.26 inference(monotonicity,[status(thm)],[11872])).
% 2.74/2.26 tff(11874,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s35)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s35) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s35)))),
% 2.74/2.26 inference(transitivity,[status(thm)],[11873, 11871])).
% 2.74/2.26 tff(11875,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s35)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s35))),
% 2.74/2.26 inference(quant_inst,[status(thm)],[])).
% 2.74/2.26 tff(11876,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s35) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s35))),
% 2.74/2.26 inference(modus_ponens,[status(thm)],[11875, 11874])).
% 2.74/2.26 tff(11877,plain,
% 2.74/2.26 ($false),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11876, 8279, 11870, 11275, 11869, 11264])).
% 2.74/2.26 tff(11878,plain,((~trans(s199, s35)) | until2p7(s35) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.26 tff(11879,plain,
% 2.74/2.26 (~trans(s199, s35)),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11878, 10840, 8266])).
% 2.74/2.26 tff(11880,assumption,(~until2p7(s150)), introduced(assumption)).
% 2.74/2.26 tff(11881,assumption,(trans(s199, s150)), introduced(assumption)).
% 2.74/2.26 tff(11882,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s150) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s150)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s150) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s150)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11883,plain,
% 2.74/2.26 (((~trans(s199, s150)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s150)) <=> (until2p7(s150) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s150)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11884,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s150)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s150) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s150))))),
% 2.74/2.26 inference(monotonicity,[status(thm)],[11883])).
% 2.74/2.26 tff(11885,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s150)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s150) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s150)))),
% 2.74/2.26 inference(transitivity,[status(thm)],[11884, 11882])).
% 2.74/2.26 tff(11886,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s150)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s150))),
% 2.74/2.26 inference(quant_inst,[status(thm)],[])).
% 2.74/2.26 tff(11887,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s150) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s150))),
% 2.74/2.26 inference(modus_ponens,[status(thm)],[11886, 11885])).
% 2.74/2.26 tff(11888,plain,
% 2.74/2.26 ($false),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11887, 8279, 11881, 11275, 11880, 11264])).
% 2.74/2.26 tff(11889,plain,((~trans(s199, s150)) | until2p7(s150) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.26 tff(11890,plain,
% 2.74/2.26 (~trans(s199, s150)),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11889, 9257, 8266])).
% 2.74/2.26 tff(11891,assumption,(~until2p7(s68)), introduced(assumption)).
% 2.74/2.26 tff(11892,assumption,(trans(s199, s68)), introduced(assumption)).
% 2.74/2.26 tff(11893,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s68) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s68)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s68) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s68)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11894,plain,
% 2.74/2.26 (((~trans(s199, s68)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s68)) <=> (until2p7(s68) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s68)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11895,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s68)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s68) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s68))))),
% 2.74/2.26 inference(monotonicity,[status(thm)],[11894])).
% 2.74/2.26 tff(11896,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s68)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s68) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s68)))),
% 2.74/2.26 inference(transitivity,[status(thm)],[11895, 11893])).
% 2.74/2.26 tff(11897,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s68)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s68))),
% 2.74/2.26 inference(quant_inst,[status(thm)],[])).
% 2.74/2.26 tff(11898,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s68) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s68))),
% 2.74/2.26 inference(modus_ponens,[status(thm)],[11897, 11896])).
% 2.74/2.26 tff(11899,plain,
% 2.74/2.26 ($false),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11898, 8279, 11892, 11275, 11891, 11264])).
% 2.74/2.26 tff(11900,plain,((~trans(s199, s68)) | until2p7(s68) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.26 tff(11901,plain,
% 2.74/2.26 (~trans(s199, s68)),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11900, 10444, 8266])).
% 2.74/2.26 tff(11902,assumption,(~until2p7(s198)), introduced(assumption)).
% 2.74/2.26 tff(11903,assumption,(trans(s199, s198)), introduced(assumption)).
% 2.74/2.26 tff(11904,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s198) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s198)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s198) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s198)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11905,plain,
% 2.74/2.26 (((~trans(s199, s198)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s198)) <=> (until2p7(s198) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s198)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11906,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s198)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s198) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s198))))),
% 2.74/2.26 inference(monotonicity,[status(thm)],[11905])).
% 2.74/2.26 tff(11907,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s198)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s198) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s198)))),
% 2.74/2.26 inference(transitivity,[status(thm)],[11906, 11904])).
% 2.74/2.26 tff(11908,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s198)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s198))),
% 2.74/2.26 inference(quant_inst,[status(thm)],[])).
% 2.74/2.26 tff(11909,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s198) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s198))),
% 2.74/2.26 inference(modus_ponens,[status(thm)],[11908, 11907])).
% 2.74/2.26 tff(11910,plain,
% 2.74/2.26 ($false),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11909, 8279, 11903, 11275, 11902, 11264])).
% 2.74/2.26 tff(11911,plain,((~trans(s199, s198)) | until2p7(s198) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.26 tff(11912,plain,
% 2.74/2.26 (~trans(s199, s198)),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11911, 8318, 8266])).
% 2.74/2.26 tff(11913,assumption,(~until2p7(s94)), introduced(assumption)).
% 2.74/2.26 tff(11914,assumption,(trans(s199, s94)), introduced(assumption)).
% 2.74/2.26 tff(11915,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s94) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s94)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s94) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s94)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11916,plain,
% 2.74/2.26 (((~trans(s199, s94)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s94)) <=> (until2p7(s94) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s94)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11917,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s94)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s94) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s94))))),
% 2.74/2.26 inference(monotonicity,[status(thm)],[11916])).
% 2.74/2.26 tff(11918,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s94)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s94) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s94)))),
% 2.74/2.26 inference(transitivity,[status(thm)],[11917, 11915])).
% 2.74/2.26 tff(11919,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s94)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s94))),
% 2.74/2.26 inference(quant_inst,[status(thm)],[])).
% 2.74/2.26 tff(11920,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s94) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s94))),
% 2.74/2.26 inference(modus_ponens,[status(thm)],[11919, 11918])).
% 2.74/2.26 tff(11921,plain,
% 2.74/2.26 ($false),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11920, 8279, 11914, 11275, 11913, 11264])).
% 2.74/2.26 tff(11922,plain,((~trans(s199, s94)) | until2p7(s94) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.26 tff(11923,plain,
% 2.74/2.26 (~trans(s199, s94)),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11922, 10064, 8266])).
% 2.74/2.26 tff(11924,assumption,(~until2p7(s19)), introduced(assumption)).
% 2.74/2.26 tff(11925,assumption,(trans(s199, s19)), introduced(assumption)).
% 2.74/2.26 tff(11926,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s19) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s19)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s19) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s19)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11927,plain,
% 2.74/2.26 (((~trans(s199, s19)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s19)) <=> (until2p7(s19) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s19)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11928,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s19)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s19) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s19))))),
% 2.74/2.26 inference(monotonicity,[status(thm)],[11927])).
% 2.74/2.26 tff(11929,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s19)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s19) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s19)))),
% 2.74/2.26 inference(transitivity,[status(thm)],[11928, 11926])).
% 2.74/2.26 tff(11930,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s19)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s19))),
% 2.74/2.26 inference(quant_inst,[status(thm)],[])).
% 2.74/2.26 tff(11931,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s19) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s19))),
% 2.74/2.26 inference(modus_ponens,[status(thm)],[11930, 11929])).
% 2.74/2.26 tff(11932,plain,
% 2.74/2.26 ($false),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11931, 8279, 11925, 11275, 11924, 11264])).
% 2.74/2.26 tff(11933,plain,((~trans(s199, s19)) | until2p7(s19) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.26 tff(11934,plain,
% 2.74/2.26 (~trans(s199, s19)),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11933, 11029, 8266])).
% 2.74/2.26 tff(11935,assumption,(~until2p7(s153)), introduced(assumption)).
% 2.74/2.26 tff(11936,assumption,(trans(s199, s153)), introduced(assumption)).
% 2.74/2.26 tff(11937,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s153) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s153)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s153) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s153)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11938,plain,
% 2.74/2.26 (((~trans(s199, s153)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s153)) <=> (until2p7(s153) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s153)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11939,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s153)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s153) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s153))))),
% 2.74/2.26 inference(monotonicity,[status(thm)],[11938])).
% 2.74/2.26 tff(11940,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s153)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s153) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s153)))),
% 2.74/2.26 inference(transitivity,[status(thm)],[11939, 11937])).
% 2.74/2.26 tff(11941,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s153)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s153))),
% 2.74/2.26 inference(quant_inst,[status(thm)],[])).
% 2.74/2.26 tff(11942,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s153) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s153))),
% 2.74/2.26 inference(modus_ponens,[status(thm)],[11941, 11940])).
% 2.74/2.26 tff(11943,plain,
% 2.74/2.26 ($false),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11942, 8279, 11936, 11275, 11935, 11264])).
% 2.74/2.26 tff(11944,plain,((~trans(s199, s153)) | until2p7(s153) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.26 tff(11945,plain,
% 2.74/2.26 (~trans(s199, s153)),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11944, 9192, 8266])).
% 2.74/2.26 tff(11946,assumption,(~until2p7(s161)), introduced(assumption)).
% 2.74/2.26 tff(11947,assumption,(trans(s199, s161)), introduced(assumption)).
% 2.74/2.26 tff(11948,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s161) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s161)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s161) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s161)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11949,plain,
% 2.74/2.26 (((~trans(s199, s161)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s161)) <=> (until2p7(s161) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s161)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11950,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s161)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s161) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s161))))),
% 2.74/2.26 inference(monotonicity,[status(thm)],[11949])).
% 2.74/2.26 tff(11951,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s161)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s161) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s161)))),
% 2.74/2.26 inference(transitivity,[status(thm)],[11950, 11948])).
% 2.74/2.26 tff(11952,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s161)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s161))),
% 2.74/2.26 inference(quant_inst,[status(thm)],[])).
% 2.74/2.26 tff(11953,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s161) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s161))),
% 2.74/2.26 inference(modus_ponens,[status(thm)],[11952, 11951])).
% 2.74/2.26 tff(11954,plain,
% 2.74/2.26 ($false),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11953, 8279, 11947, 11275, 11946, 11264])).
% 2.74/2.26 tff(11955,plain,((~trans(s199, s161)) | until2p7(s161) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.26 tff(11956,plain,
% 2.74/2.26 (~trans(s199, s161)),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11955, 9029, 8266])).
% 2.74/2.26 tff(11957,assumption,(~until2p7(s164)), introduced(assumption)).
% 2.74/2.26 tff(11958,assumption,(trans(s199, s164)), introduced(assumption)).
% 2.74/2.26 tff(11959,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s164) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s164)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s164) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s164)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11960,plain,
% 2.74/2.26 (((~trans(s199, s164)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s164)) <=> (until2p7(s164) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s164)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11961,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s164)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s164) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s164))))),
% 2.74/2.26 inference(monotonicity,[status(thm)],[11960])).
% 2.74/2.26 tff(11962,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s164)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s164) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s164)))),
% 2.74/2.26 inference(transitivity,[status(thm)],[11961, 11959])).
% 2.74/2.26 tff(11963,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s164)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s164))),
% 2.74/2.26 inference(quant_inst,[status(thm)],[])).
% 2.74/2.26 tff(11964,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s164) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s164))),
% 2.74/2.26 inference(modus_ponens,[status(thm)],[11963, 11962])).
% 2.74/2.26 tff(11965,plain,
% 2.74/2.26 ($false),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11964, 8279, 11958, 11275, 11957, 11264])).
% 2.74/2.26 tff(11966,plain,((~trans(s199, s164)) | until2p7(s164) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.26 tff(11967,plain,
% 2.74/2.26 (~trans(s199, s164)),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11966, 8991, 8266])).
% 2.74/2.26 tff(11968,assumption,(~until2p7(s118)), introduced(assumption)).
% 2.74/2.26 tff(11969,assumption,(trans(s199, s118)), introduced(assumption)).
% 2.74/2.26 tff(11970,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s118) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s118)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s118) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s118)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11971,plain,
% 2.74/2.26 (((~trans(s199, s118)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s118)) <=> (until2p7(s118) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s118)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11972,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s118)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s118) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s118))))),
% 2.74/2.26 inference(monotonicity,[status(thm)],[11971])).
% 2.74/2.26 tff(11973,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s118)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s118) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s118)))),
% 2.74/2.26 inference(transitivity,[status(thm)],[11972, 11970])).
% 2.74/2.26 tff(11974,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s118)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s118))),
% 2.74/2.26 inference(quant_inst,[status(thm)],[])).
% 2.74/2.26 tff(11975,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s118) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s118))),
% 2.74/2.26 inference(modus_ponens,[status(thm)],[11974, 11973])).
% 2.74/2.26 tff(11976,plain,
% 2.74/2.26 ($false),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11975, 8279, 11969, 11275, 11968, 11264])).
% 2.74/2.26 tff(11977,plain,((~trans(s199, s118)) | until2p7(s118) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.26 tff(11978,plain,
% 2.74/2.26 (~trans(s199, s118)),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11977, 9674, 8266])).
% 2.74/2.26 tff(11979,assumption,(~until2p7(s34)), introduced(assumption)).
% 2.74/2.26 tff(11980,assumption,(trans(s199, s34)), introduced(assumption)).
% 2.74/2.26 tff(11981,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s34) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s34)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s34) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s34)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11982,plain,
% 2.74/2.26 (((~trans(s199, s34)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s34)) <=> (until2p7(s34) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s34)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11983,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s34)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s34) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s34))))),
% 2.74/2.26 inference(monotonicity,[status(thm)],[11982])).
% 2.74/2.26 tff(11984,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s34)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s34) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s34)))),
% 2.74/2.26 inference(transitivity,[status(thm)],[11983, 11981])).
% 2.74/2.26 tff(11985,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s34)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s34))),
% 2.74/2.26 inference(quant_inst,[status(thm)],[])).
% 2.74/2.26 tff(11986,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s34) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s34))),
% 2.74/2.26 inference(modus_ponens,[status(thm)],[11985, 11984])).
% 2.74/2.26 tff(11987,plain,
% 2.74/2.26 ($false),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11986, 8279, 11980, 11275, 11979, 11264])).
% 2.74/2.26 tff(11988,plain,((~trans(s199, s34)) | until2p7(s34) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.26 tff(11989,plain,
% 2.74/2.26 (~trans(s199, s34)),
% 2.74/2.26 inference(unit_resolution,[status(thm)],[11988, 10852, 8266])).
% 2.74/2.26 tff(11990,assumption,(~until2p7(s26)), introduced(assumption)).
% 2.74/2.26 tff(11991,assumption,(trans(s199, s26)), introduced(assumption)).
% 2.74/2.26 tff(11992,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s26) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s26)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s26) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s26)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11993,plain,
% 2.74/2.26 (((~trans(s199, s26)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s26)) <=> (until2p7(s26) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s26)))),
% 2.74/2.26 inference(rewrite,[status(thm)],[])).
% 2.74/2.26 tff(11994,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s26)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s26) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s26))))),
% 2.74/2.26 inference(monotonicity,[status(thm)],[11993])).
% 2.74/2.26 tff(11995,plain,
% 2.74/2.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s26)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s26) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s26)))),
% 2.74/2.26 inference(transitivity,[status(thm)],[11994, 11992])).
% 2.74/2.26 tff(11996,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s26)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s26))),
% 2.74/2.26 inference(quant_inst,[status(thm)],[])).
% 2.74/2.26 tff(11997,plain,
% 2.74/2.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s26) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s26))),
% 2.74/2.26 inference(modus_ponens,[status(thm)],[11996, 11995])).
% 2.74/2.26 tff(11998,plain,
% 2.74/2.26 ($false),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[11997, 8279, 11991, 11275, 11990, 11264])).
% 2.74/2.27 tff(11999,plain,((~trans(s199, s26)) | until2p7(s26) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.27 tff(12000,plain,
% 2.74/2.27 (~trans(s199, s26)),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[11999, 10945, 8266])).
% 2.74/2.27 tff(12001,assumption,(~until2p7(s97)), introduced(assumption)).
% 2.74/2.27 tff(12002,assumption,(trans(s199, s97)), introduced(assumption)).
% 2.74/2.27 tff(12003,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s97) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s97)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s97) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s97)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12004,plain,
% 2.74/2.27 (((~trans(s199, s97)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s97)) <=> (until2p7(s97) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s97)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12005,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s97)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s97) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s97))))),
% 2.74/2.27 inference(monotonicity,[status(thm)],[12004])).
% 2.74/2.27 tff(12006,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s97)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s97) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s97)))),
% 2.74/2.27 inference(transitivity,[status(thm)],[12005, 12003])).
% 2.74/2.27 tff(12007,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s97)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s97))),
% 2.74/2.27 inference(quant_inst,[status(thm)],[])).
% 2.74/2.27 tff(12008,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s97) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s97))),
% 2.74/2.27 inference(modus_ponens,[status(thm)],[12007, 12006])).
% 2.74/2.27 tff(12009,plain,
% 2.74/2.27 ($false),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12008, 8279, 12002, 11275, 12001, 11264])).
% 2.74/2.27 tff(12010,plain,((~trans(s199, s97)) | until2p7(s97) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.27 tff(12011,plain,
% 2.74/2.27 (~trans(s199, s97)),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12010, 10027, 8266])).
% 2.74/2.27 tff(12012,assumption,(~until2p7(s112)), introduced(assumption)).
% 2.74/2.27 tff(12013,assumption,(trans(s199, s112)), introduced(assumption)).
% 2.74/2.27 tff(12014,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s112) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s112)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s112) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s112)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12015,plain,
% 2.74/2.27 (((~trans(s199, s112)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s112)) <=> (until2p7(s112) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s112)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12016,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s112)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s112) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s112))))),
% 2.74/2.27 inference(monotonicity,[status(thm)],[12015])).
% 2.74/2.27 tff(12017,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s112)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s112) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s112)))),
% 2.74/2.27 inference(transitivity,[status(thm)],[12016, 12014])).
% 2.74/2.27 tff(12018,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s112)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s112))),
% 2.74/2.27 inference(quant_inst,[status(thm)],[])).
% 2.74/2.27 tff(12019,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s112) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s112))),
% 2.74/2.27 inference(modus_ponens,[status(thm)],[12018, 12017])).
% 2.74/2.27 tff(12020,plain,
% 2.74/2.27 ($false),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12019, 8279, 12013, 11275, 12012, 11264])).
% 2.74/2.27 tff(12021,plain,((~trans(s199, s112)) | until2p7(s112) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.27 tff(12022,plain,
% 2.74/2.27 (~trans(s199, s112)),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12021, 9746, 8266])).
% 2.74/2.27 tff(12023,assumption,(~until2p7(s76)), introduced(assumption)).
% 2.74/2.27 tff(12024,assumption,(trans(s199, s76)), introduced(assumption)).
% 2.74/2.27 tff(12025,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s76) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s76)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s76) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s76)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12026,plain,
% 2.74/2.27 (((~trans(s199, s76)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s76)) <=> (until2p7(s76) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s76)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12027,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s76)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s76) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s76))))),
% 2.74/2.27 inference(monotonicity,[status(thm)],[12026])).
% 2.74/2.27 tff(12028,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s76)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s76) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s76)))),
% 2.74/2.27 inference(transitivity,[status(thm)],[12027, 12025])).
% 2.74/2.27 tff(12029,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s76)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s76))),
% 2.74/2.27 inference(quant_inst,[status(thm)],[])).
% 2.74/2.27 tff(12030,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s76) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s76))),
% 2.74/2.27 inference(modus_ponens,[status(thm)],[12029, 12028])).
% 2.74/2.27 tff(12031,plain,
% 2.74/2.27 ($false),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12030, 8279, 12024, 11275, 12023, 11264])).
% 2.74/2.27 tff(12032,plain,((~trans(s199, s76)) | until2p7(s76) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.27 tff(12033,plain,
% 2.74/2.27 (~trans(s199, s76)),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12032, 10348, 8266])).
% 2.74/2.27 tff(12034,assumption,(~until2p7(s60)), introduced(assumption)).
% 2.74/2.27 tff(12035,assumption,(trans(s199, s60)), introduced(assumption)).
% 2.74/2.27 tff(12036,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s60) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s60)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s60) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s60)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12037,plain,
% 2.74/2.27 (((~trans(s199, s60)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s60)) <=> (until2p7(s60) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s60)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12038,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s60)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s60) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s60))))),
% 2.74/2.27 inference(monotonicity,[status(thm)],[12037])).
% 2.74/2.27 tff(12039,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s60)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s60) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s60)))),
% 2.74/2.27 inference(transitivity,[status(thm)],[12038, 12036])).
% 2.74/2.27 tff(12040,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s60)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s60))),
% 2.74/2.27 inference(quant_inst,[status(thm)],[])).
% 2.74/2.27 tff(12041,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s60) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s60))),
% 2.74/2.27 inference(modus_ponens,[status(thm)],[12040, 12039])).
% 2.74/2.27 tff(12042,plain,
% 2.74/2.27 ($false),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12041, 8279, 12035, 11275, 12034, 11264])).
% 2.74/2.27 tff(12043,plain,((~trans(s199, s60)) | until2p7(s60) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.27 tff(12044,plain,
% 2.74/2.27 (~trans(s199, s60)),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12043, 10540, 8266])).
% 2.74/2.27 tff(12045,assumption,(~until2p7(s22)), introduced(assumption)).
% 2.74/2.27 tff(12046,assumption,(trans(s199, s22)), introduced(assumption)).
% 2.74/2.27 tff(12047,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s22) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s22)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s22) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s22)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12048,plain,
% 2.74/2.27 (((~trans(s199, s22)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s22)) <=> (until2p7(s22) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s22)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12049,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s22)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s22) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s22))))),
% 2.74/2.27 inference(monotonicity,[status(thm)],[12048])).
% 2.74/2.27 tff(12050,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s22)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s22) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s22)))),
% 2.74/2.27 inference(transitivity,[status(thm)],[12049, 12047])).
% 2.74/2.27 tff(12051,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s22)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s22))),
% 2.74/2.27 inference(quant_inst,[status(thm)],[])).
% 2.74/2.27 tff(12052,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s22) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s22))),
% 2.74/2.27 inference(modus_ponens,[status(thm)],[12051, 12050])).
% 2.74/2.27 tff(12053,plain,
% 2.74/2.27 ($false),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12052, 8279, 12046, 11275, 12045, 11264])).
% 2.74/2.27 tff(12054,plain,((~trans(s199, s22)) | until2p7(s22) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.27 tff(12055,plain,
% 2.74/2.27 (~trans(s199, s22)),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12054, 10993, 8266])).
% 2.74/2.27 tff(12056,assumption,(~until2p7(s104)), introduced(assumption)).
% 2.74/2.27 tff(12057,assumption,(trans(s199, s104)), introduced(assumption)).
% 2.74/2.27 tff(12058,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s104) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s104)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s104) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s104)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12059,plain,
% 2.74/2.27 (((~trans(s199, s104)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s104)) <=> (until2p7(s104) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s104)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12060,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s104)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s104) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s104))))),
% 2.74/2.27 inference(monotonicity,[status(thm)],[12059])).
% 2.74/2.27 tff(12061,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s104)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s104) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s104)))),
% 2.74/2.27 inference(transitivity,[status(thm)],[12060, 12058])).
% 2.74/2.27 tff(12062,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s104)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s104))),
% 2.74/2.27 inference(quant_inst,[status(thm)],[])).
% 2.74/2.27 tff(12063,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s104) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s104))),
% 2.74/2.27 inference(modus_ponens,[status(thm)],[12062, 12061])).
% 2.74/2.27 tff(12064,plain,
% 2.74/2.27 ($false),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12063, 8279, 12057, 11275, 12056, 11264])).
% 2.74/2.27 tff(12065,plain,((~trans(s199, s104)) | until2p7(s104) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.27 tff(12066,plain,
% 2.74/2.27 (~trans(s199, s104)),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12065, 9842, 8266])).
% 2.74/2.27 tff(12067,assumption,(~until2p7(s75)), introduced(assumption)).
% 2.74/2.27 tff(12068,assumption,(trans(s199, s75)), introduced(assumption)).
% 2.74/2.27 tff(12069,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s75) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s75)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s75) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s75)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12070,plain,
% 2.74/2.27 (((~trans(s199, s75)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s75)) <=> (until2p7(s75) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s75)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12071,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s75)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s75) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s75))))),
% 2.74/2.27 inference(monotonicity,[status(thm)],[12070])).
% 2.74/2.27 tff(12072,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s75)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s75) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s75)))),
% 2.74/2.27 inference(transitivity,[status(thm)],[12071, 12069])).
% 2.74/2.27 tff(12073,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s75)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s75))),
% 2.74/2.27 inference(quant_inst,[status(thm)],[])).
% 2.74/2.27 tff(12074,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s75) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s75))),
% 2.74/2.27 inference(modus_ponens,[status(thm)],[12073, 12072])).
% 2.74/2.27 tff(12075,plain,
% 2.74/2.27 ($false),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12074, 8279, 12068, 11275, 12067, 11264])).
% 2.74/2.27 tff(12076,plain,((~trans(s199, s75)) | until2p7(s75) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.27 tff(12077,plain,
% 2.74/2.27 (~trans(s199, s75)),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12076, 10360, 8266])).
% 2.74/2.27 tff(12078,assumption,(~until2p7(s90)), introduced(assumption)).
% 2.74/2.27 tff(12079,assumption,(trans(s199, s90)), introduced(assumption)).
% 2.74/2.27 tff(12080,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s90) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s90)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s90) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s90)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12081,plain,
% 2.74/2.27 (((~trans(s199, s90)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s90)) <=> (until2p7(s90) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s90)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12082,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s90)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s90) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s90))))),
% 2.74/2.27 inference(monotonicity,[status(thm)],[12081])).
% 2.74/2.27 tff(12083,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s90)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s90) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s90)))),
% 2.74/2.27 inference(transitivity,[status(thm)],[12082, 12080])).
% 2.74/2.27 tff(12084,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s90)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s90))),
% 2.74/2.27 inference(quant_inst,[status(thm)],[])).
% 2.74/2.27 tff(12085,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s90) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s90))),
% 2.74/2.27 inference(modus_ponens,[status(thm)],[12084, 12083])).
% 2.74/2.27 tff(12086,plain,
% 2.74/2.27 ($false),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12085, 8279, 12079, 11275, 12078, 11264])).
% 2.74/2.27 tff(12087,plain,((~trans(s199, s90)) | until2p7(s90) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.27 tff(12088,plain,
% 2.74/2.27 (~trans(s199, s90)),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12087, 10146, 8266])).
% 2.74/2.27 tff(12089,assumption,(~until2p7(s85)), introduced(assumption)).
% 2.74/2.27 tff(12090,assumption,(trans(s199, s85)), introduced(assumption)).
% 2.74/2.27 tff(12091,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s85) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s85)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s85) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s85)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12092,plain,
% 2.74/2.27 (((~trans(s199, s85)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s85)) <=> (until2p7(s85) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s85)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12093,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s85)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s85) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s85))))),
% 2.74/2.27 inference(monotonicity,[status(thm)],[12092])).
% 2.74/2.27 tff(12094,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s85)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s85) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s85)))),
% 2.74/2.27 inference(transitivity,[status(thm)],[12093, 12091])).
% 2.74/2.27 tff(12095,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s85)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s85))),
% 2.74/2.27 inference(quant_inst,[status(thm)],[])).
% 2.74/2.27 tff(12096,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s85) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s85))),
% 2.74/2.27 inference(modus_ponens,[status(thm)],[12095, 12094])).
% 2.74/2.27 tff(12097,plain,
% 2.74/2.27 ($false),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12096, 8279, 12090, 11275, 12089, 11264])).
% 2.74/2.27 tff(12098,plain,((~trans(s199, s85)) | until2p7(s85) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.27 tff(12099,plain,
% 2.74/2.27 (~trans(s199, s85)),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12098, 10239, 8266])).
% 2.74/2.27 tff(12100,assumption,(~until2p7(s42)), introduced(assumption)).
% 2.74/2.27 tff(12101,assumption,(trans(s199, s42)), introduced(assumption)).
% 2.74/2.27 tff(12102,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s42) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s42)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s42) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s42)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12103,plain,
% 2.74/2.27 (((~trans(s199, s42)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s42)) <=> (until2p7(s42) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s42)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12104,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s42)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s42) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s42))))),
% 2.74/2.27 inference(monotonicity,[status(thm)],[12103])).
% 2.74/2.27 tff(12105,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s42)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s42) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s42)))),
% 2.74/2.27 inference(transitivity,[status(thm)],[12104, 12102])).
% 2.74/2.27 tff(12106,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s42)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s42))),
% 2.74/2.27 inference(quant_inst,[status(thm)],[])).
% 2.74/2.27 tff(12107,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s42) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s42))),
% 2.74/2.27 inference(modus_ponens,[status(thm)],[12106, 12105])).
% 2.74/2.27 tff(12108,plain,
% 2.74/2.27 ($false),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12107, 8279, 12101, 11275, 12100, 11264])).
% 2.74/2.27 tff(12109,plain,((~trans(s199, s42)) | until2p7(s42) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.27 tff(12110,plain,
% 2.74/2.27 (~trans(s199, s42)),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12109, 10756, 8266])).
% 2.74/2.27 tff(12111,assumption,(~until2p7(s102)), introduced(assumption)).
% 2.74/2.27 tff(12112,assumption,(trans(s199, s102)), introduced(assumption)).
% 2.74/2.27 tff(12113,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s102) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s102)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s102) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s102)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12114,plain,
% 2.74/2.27 (((~trans(s199, s102)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s102)) <=> (until2p7(s102) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s102)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12115,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s102)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s102) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s102))))),
% 2.74/2.27 inference(monotonicity,[status(thm)],[12114])).
% 2.74/2.27 tff(12116,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s102)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s102) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s102)))),
% 2.74/2.27 inference(transitivity,[status(thm)],[12115, 12113])).
% 2.74/2.27 tff(12117,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s102)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s102))),
% 2.74/2.27 inference(quant_inst,[status(thm)],[])).
% 2.74/2.27 tff(12118,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s102) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s102))),
% 2.74/2.27 inference(modus_ponens,[status(thm)],[12117, 12116])).
% 2.74/2.27 tff(12119,plain,
% 2.74/2.27 ($false),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12118, 8279, 12112, 11275, 12111, 11264])).
% 2.74/2.27 tff(12120,plain,((~trans(s199, s102)) | until2p7(s102) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.27 tff(12121,plain,
% 2.74/2.27 (~trans(s199, s102)),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12120, 9899, 8266])).
% 2.74/2.27 tff(12122,assumption,(~until2p7(s27)), introduced(assumption)).
% 2.74/2.27 tff(12123,assumption,(trans(s199, s27)), introduced(assumption)).
% 2.74/2.27 tff(12124,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s27) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s27)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s27) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s27)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12125,plain,
% 2.74/2.27 (((~trans(s199, s27)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s27)) <=> (until2p7(s27) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s27)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12126,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s27)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s27) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s27))))),
% 2.74/2.27 inference(monotonicity,[status(thm)],[12125])).
% 2.74/2.27 tff(12127,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s27)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s27) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s27)))),
% 2.74/2.27 inference(transitivity,[status(thm)],[12126, 12124])).
% 2.74/2.27 tff(12128,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s27)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s27))),
% 2.74/2.27 inference(quant_inst,[status(thm)],[])).
% 2.74/2.27 tff(12129,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s27) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s27))),
% 2.74/2.27 inference(modus_ponens,[status(thm)],[12128, 12127])).
% 2.74/2.27 tff(12130,plain,
% 2.74/2.27 ($false),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12129, 8279, 12123, 11275, 12122, 11264])).
% 2.74/2.27 tff(12131,plain,((~trans(s199, s27)) | until2p7(s27) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.27 tff(12132,plain,
% 2.74/2.27 (~trans(s199, s27)),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12131, 10933, 8266])).
% 2.74/2.27 tff(12133,assumption,(~until2p7(s110)), introduced(assumption)).
% 2.74/2.27 tff(12134,assumption,(trans(s199, s110)), introduced(assumption)).
% 2.74/2.27 tff(12135,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s110) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s110)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s110) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s110)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12136,plain,
% 2.74/2.27 (((~trans(s199, s110)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s110)) <=> (until2p7(s110) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s110)))),
% 2.74/2.27 inference(rewrite,[status(thm)],[])).
% 2.74/2.27 tff(12137,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s110)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s110) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s110))))),
% 2.74/2.27 inference(monotonicity,[status(thm)],[12136])).
% 2.74/2.27 tff(12138,plain,
% 2.74/2.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s110)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s110) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s110)))),
% 2.74/2.27 inference(transitivity,[status(thm)],[12137, 12135])).
% 2.74/2.27 tff(12139,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s110)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s110))),
% 2.74/2.27 inference(quant_inst,[status(thm)],[])).
% 2.74/2.27 tff(12140,plain,
% 2.74/2.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s110) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s110))),
% 2.74/2.27 inference(modus_ponens,[status(thm)],[12139, 12138])).
% 2.74/2.27 tff(12141,plain,
% 2.74/2.27 ($false),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12140, 8279, 12134, 11275, 12133, 11264])).
% 2.74/2.27 tff(12142,plain,((~trans(s199, s110)) | until2p7(s110) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.27 tff(12143,plain,
% 2.74/2.27 (~trans(s199, s110)),
% 2.74/2.27 inference(unit_resolution,[status(thm)],[12142, 9770, 8266])).
% 2.74/2.28 tff(12144,assumption,(~until2p7(s64)), introduced(assumption)).
% 2.74/2.28 tff(12145,assumption,(trans(s199, s64)), introduced(assumption)).
% 2.74/2.28 tff(12146,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s64) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s64)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s64) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s64)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12147,plain,
% 2.74/2.28 (((~trans(s199, s64)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s64)) <=> (until2p7(s64) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s64)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12148,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s64)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s64) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s64))))),
% 2.74/2.28 inference(monotonicity,[status(thm)],[12147])).
% 2.74/2.28 tff(12149,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s64)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s64) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s64)))),
% 2.74/2.28 inference(transitivity,[status(thm)],[12148, 12146])).
% 2.74/2.28 tff(12150,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s64)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s64))),
% 2.74/2.28 inference(quant_inst,[status(thm)],[])).
% 2.74/2.28 tff(12151,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s64) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s64))),
% 2.74/2.28 inference(modus_ponens,[status(thm)],[12150, 12149])).
% 2.74/2.28 tff(12152,plain,
% 2.74/2.28 ($false),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12151, 8279, 12145, 11275, 12144, 11264])).
% 2.74/2.28 tff(12153,plain,((~trans(s199, s64)) | until2p7(s64) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.28 tff(12154,plain,
% 2.74/2.28 (~trans(s199, s64)),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12153, 10492, 8266])).
% 2.74/2.28 tff(12155,assumption,(~until2p7(s54)), introduced(assumption)).
% 2.74/2.28 tff(12156,assumption,(trans(s199, s54)), introduced(assumption)).
% 2.74/2.28 tff(12157,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s54) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s54)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s54) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s54)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12158,plain,
% 2.74/2.28 (((~trans(s199, s54)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s54)) <=> (until2p7(s54) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s54)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12159,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s54)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s54) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s54))))),
% 2.74/2.28 inference(monotonicity,[status(thm)],[12158])).
% 2.74/2.28 tff(12160,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s54)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s54) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s54)))),
% 2.74/2.28 inference(transitivity,[status(thm)],[12159, 12157])).
% 2.74/2.28 tff(12161,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s54)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s54))),
% 2.74/2.28 inference(quant_inst,[status(thm)],[])).
% 2.74/2.28 tff(12162,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s54) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s54))),
% 2.74/2.28 inference(modus_ponens,[status(thm)],[12161, 12160])).
% 2.74/2.28 tff(12163,plain,
% 2.74/2.28 ($false),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12162, 8279, 12156, 11275, 12155, 11264])).
% 2.74/2.28 tff(12164,plain,((~trans(s199, s54)) | until2p7(s54) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.28 tff(12165,plain,
% 2.74/2.28 (~trans(s199, s54)),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12164, 10612, 8266])).
% 2.74/2.28 tff(12166,assumption,(~until2p7(s132)), introduced(assumption)).
% 2.74/2.28 tff(12167,assumption,(trans(s199, s132)), introduced(assumption)).
% 2.74/2.28 tff(12168,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s132) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s132)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s132) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s132)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12169,plain,
% 2.74/2.28 (((~trans(s199, s132)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s132)) <=> (until2p7(s132) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s132)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12170,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s132)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s132) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s132))))),
% 2.74/2.28 inference(monotonicity,[status(thm)],[12169])).
% 2.74/2.28 tff(12171,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s132)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s132) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s132)))),
% 2.74/2.28 inference(transitivity,[status(thm)],[12170, 12168])).
% 2.74/2.28 tff(12172,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s132)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s132))),
% 2.74/2.28 inference(quant_inst,[status(thm)],[])).
% 2.74/2.28 tff(12173,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s132) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s132))),
% 2.74/2.28 inference(modus_ponens,[status(thm)],[12172, 12171])).
% 2.74/2.28 tff(12174,plain,
% 2.74/2.28 ($false),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12173, 8279, 12167, 11275, 12166, 11264])).
% 2.74/2.28 tff(12175,plain,((~trans(s199, s132)) | until2p7(s132) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.28 tff(12176,plain,
% 2.74/2.28 (~trans(s199, s132)),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12175, 9506, 8266])).
% 2.74/2.28 tff(12177,assumption,(~until2p7(s188)), introduced(assumption)).
% 2.74/2.28 tff(12178,assumption,(trans(s199, s188)), introduced(assumption)).
% 2.74/2.28 tff(12179,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s188) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s188)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s188) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s188)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12180,plain,
% 2.74/2.28 (((~trans(s199, s188)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s188)) <=> (until2p7(s188) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s188)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12181,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s188)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s188) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s188))))),
% 2.74/2.28 inference(monotonicity,[status(thm)],[12180])).
% 2.74/2.28 tff(12182,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s188)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s188) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s188)))),
% 2.74/2.28 inference(transitivity,[status(thm)],[12181, 12179])).
% 2.74/2.28 tff(12183,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s188)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s188))),
% 2.74/2.28 inference(quant_inst,[status(thm)],[])).
% 2.74/2.28 tff(12184,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s188) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s188))),
% 2.74/2.28 inference(modus_ponens,[status(thm)],[12183, 12182])).
% 2.74/2.28 tff(12185,plain,
% 2.74/2.28 ($false),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12184, 8279, 12178, 11275, 12177, 11264])).
% 2.74/2.28 tff(12186,plain,((~trans(s199, s188)) | until2p7(s188) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.28 tff(12187,plain,
% 2.74/2.28 (~trans(s199, s188)),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12186, 8469, 8266])).
% 2.74/2.28 tff(12188,assumption,(~until2p7(s31)), introduced(assumption)).
% 2.74/2.28 tff(12189,assumption,(trans(s199, s31)), introduced(assumption)).
% 2.74/2.28 tff(12190,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s31) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s31)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s31) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s31)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12191,plain,
% 2.74/2.28 (((~trans(s199, s31)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s31)) <=> (until2p7(s31) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s31)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12192,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s31)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s31) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s31))))),
% 2.74/2.28 inference(monotonicity,[status(thm)],[12191])).
% 2.74/2.28 tff(12193,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s31)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s31) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s31)))),
% 2.74/2.28 inference(transitivity,[status(thm)],[12192, 12190])).
% 2.74/2.28 tff(12194,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s31)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s31))),
% 2.74/2.28 inference(quant_inst,[status(thm)],[])).
% 2.74/2.28 tff(12195,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s31) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s31))),
% 2.74/2.28 inference(modus_ponens,[status(thm)],[12194, 12193])).
% 2.74/2.28 tff(12196,plain,
% 2.74/2.28 ($false),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12195, 8279, 12189, 11275, 12188, 11264])).
% 2.74/2.28 tff(12197,plain,((~trans(s199, s31)) | until2p7(s31) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.28 tff(12198,plain,
% 2.74/2.28 (~trans(s199, s31)),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12197, 10887, 8266])).
% 2.74/2.28 tff(12199,assumption,(~until2p7(s158)), introduced(assumption)).
% 2.74/2.28 tff(12200,assumption,(trans(s199, s158)), introduced(assumption)).
% 2.74/2.28 tff(12201,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s158) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s158)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s158) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s158)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12202,plain,
% 2.74/2.28 (((~trans(s199, s158)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s158)) <=> (until2p7(s158) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s158)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12203,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s158)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s158) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s158))))),
% 2.74/2.28 inference(monotonicity,[status(thm)],[12202])).
% 2.74/2.28 tff(12204,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s158)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s158) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s158)))),
% 2.74/2.28 inference(transitivity,[status(thm)],[12203, 12201])).
% 2.74/2.28 tff(12205,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s158)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s158))),
% 2.74/2.28 inference(quant_inst,[status(thm)],[])).
% 2.74/2.28 tff(12206,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s158) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s158))),
% 2.74/2.28 inference(modus_ponens,[status(thm)],[12205, 12204])).
% 2.74/2.28 tff(12207,plain,
% 2.74/2.28 ($false),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12206, 8279, 12200, 11275, 12199, 11264])).
% 2.74/2.28 tff(12208,plain,((~trans(s199, s158)) | until2p7(s158) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.28 tff(12209,plain,
% 2.74/2.28 (~trans(s199, s158)),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12208, 9099, 8266])).
% 2.74/2.28 tff(12210,assumption,(~until2p7(s116)), introduced(assumption)).
% 2.74/2.28 tff(12211,assumption,(trans(s199, s116)), introduced(assumption)).
% 2.74/2.28 tff(12212,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s116) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s116)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s116) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s116)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12213,plain,
% 2.74/2.28 (((~trans(s199, s116)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s116)) <=> (until2p7(s116) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s116)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12214,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s116)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s116) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s116))))),
% 2.74/2.28 inference(monotonicity,[status(thm)],[12213])).
% 2.74/2.28 tff(12215,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s116)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s116) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s116)))),
% 2.74/2.28 inference(transitivity,[status(thm)],[12214, 12212])).
% 2.74/2.28 tff(12216,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s116)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s116))),
% 2.74/2.28 inference(quant_inst,[status(thm)],[])).
% 2.74/2.28 tff(12217,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s116) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s116))),
% 2.74/2.28 inference(modus_ponens,[status(thm)],[12216, 12215])).
% 2.74/2.28 tff(12218,plain,
% 2.74/2.28 ($false),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12217, 8279, 12211, 11275, 12210, 11264])).
% 2.74/2.28 tff(12219,plain,((~trans(s199, s116)) | until2p7(s116) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.28 tff(12220,plain,
% 2.74/2.28 (~trans(s199, s116)),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12219, 9698, 8266])).
% 2.74/2.28 tff(12221,assumption,(~until2p7(s59)), introduced(assumption)).
% 2.74/2.28 tff(12222,assumption,(trans(s199, s59)), introduced(assumption)).
% 2.74/2.28 tff(12223,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s59) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s59)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s59) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s59)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12224,plain,
% 2.74/2.28 (((~trans(s199, s59)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s59)) <=> (until2p7(s59) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s59)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12225,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s59)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s59) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s59))))),
% 2.74/2.28 inference(monotonicity,[status(thm)],[12224])).
% 2.74/2.28 tff(12226,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s59)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s59) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s59)))),
% 2.74/2.28 inference(transitivity,[status(thm)],[12225, 12223])).
% 2.74/2.28 tff(12227,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s59)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s59))),
% 2.74/2.28 inference(quant_inst,[status(thm)],[])).
% 2.74/2.28 tff(12228,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s59) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s59))),
% 2.74/2.28 inference(modus_ponens,[status(thm)],[12227, 12226])).
% 2.74/2.28 tff(12229,plain,
% 2.74/2.28 ($false),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12228, 8279, 12222, 11275, 12221, 11264])).
% 2.74/2.28 tff(12230,plain,((~trans(s199, s59)) | until2p7(s59) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.28 tff(12231,plain,
% 2.74/2.28 (~trans(s199, s59)),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12230, 10552, 8266])).
% 2.74/2.28 tff(12232,assumption,(~until2p7(s144)), introduced(assumption)).
% 2.74/2.28 tff(12233,assumption,(trans(s199, s144)), introduced(assumption)).
% 2.74/2.28 tff(12234,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s144) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s144)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s144) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s144)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12235,plain,
% 2.74/2.28 (((~trans(s199, s144)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s144)) <=> (until2p7(s144) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s144)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12236,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s144)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s144) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s144))))),
% 2.74/2.28 inference(monotonicity,[status(thm)],[12235])).
% 2.74/2.28 tff(12237,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s144)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s144) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s144)))),
% 2.74/2.28 inference(transitivity,[status(thm)],[12236, 12234])).
% 2.74/2.28 tff(12238,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s144)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s144))),
% 2.74/2.28 inference(quant_inst,[status(thm)],[])).
% 2.74/2.28 tff(12239,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s144) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s144))),
% 2.74/2.28 inference(modus_ponens,[status(thm)],[12238, 12237])).
% 2.74/2.28 tff(12240,plain,
% 2.74/2.28 ($false),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12239, 8279, 12233, 11275, 12232, 11264])).
% 2.74/2.28 tff(12241,plain,((~trans(s199, s144)) | until2p7(s144) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.28 tff(12242,plain,
% 2.74/2.28 (~trans(s199, s144)),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12241, 9362, 8266])).
% 2.74/2.28 tff(12243,assumption,(~until2p7(s48)), introduced(assumption)).
% 2.74/2.28 tff(12244,assumption,(trans(s199, s48)), introduced(assumption)).
% 2.74/2.28 tff(12245,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s48) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s48)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s48) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s48)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12246,plain,
% 2.74/2.28 (((~trans(s199, s48)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s48)) <=> (until2p7(s48) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s48)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12247,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s48)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s48) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s48))))),
% 2.74/2.28 inference(monotonicity,[status(thm)],[12246])).
% 2.74/2.28 tff(12248,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s48)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s48) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s48)))),
% 2.74/2.28 inference(transitivity,[status(thm)],[12247, 12245])).
% 2.74/2.28 tff(12249,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s48)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s48))),
% 2.74/2.28 inference(quant_inst,[status(thm)],[])).
% 2.74/2.28 tff(12250,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s48) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s48))),
% 2.74/2.28 inference(modus_ponens,[status(thm)],[12249, 12248])).
% 2.74/2.28 tff(12251,plain,
% 2.74/2.28 ($false),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12250, 8279, 12244, 11275, 12243, 11264])).
% 2.74/2.28 tff(12252,plain,((~trans(s199, s48)) | until2p7(s48) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.28 tff(12253,plain,
% 2.74/2.28 (~trans(s199, s48)),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12252, 10684, 8266])).
% 2.74/2.28 tff(12254,assumption,(~until2p7(s11)), introduced(assumption)).
% 2.74/2.28 tff(12255,assumption,(trans(s199, s11)), introduced(assumption)).
% 2.74/2.28 tff(12256,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s11) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s11)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s11) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s11)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12257,plain,
% 2.74/2.28 (((~trans(s199, s11)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s11)) <=> (until2p7(s11) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s11)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12258,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s11)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s11) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s11))))),
% 2.74/2.28 inference(monotonicity,[status(thm)],[12257])).
% 2.74/2.28 tff(12259,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s11)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s11) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s11)))),
% 2.74/2.28 inference(transitivity,[status(thm)],[12258, 12256])).
% 2.74/2.28 tff(12260,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s11)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s11))),
% 2.74/2.28 inference(quant_inst,[status(thm)],[])).
% 2.74/2.28 tff(12261,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s11) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s11))),
% 2.74/2.28 inference(modus_ponens,[status(thm)],[12260, 12259])).
% 2.74/2.28 tff(12262,plain,
% 2.74/2.28 ($false),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12261, 8279, 12255, 11275, 12254, 11264])).
% 2.74/2.28 tff(12263,plain,((~trans(s199, s11)) | until2p7(s11) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.28 tff(12264,plain,
% 2.74/2.28 (~trans(s199, s11)),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12263, 11124, 8266])).
% 2.74/2.28 tff(12265,assumption,(~until2p7(s119)), introduced(assumption)).
% 2.74/2.28 tff(12266,assumption,(trans(s199, s119)), introduced(assumption)).
% 2.74/2.28 tff(12267,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s119) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s119)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s119) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s119)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12268,plain,
% 2.74/2.28 (((~trans(s199, s119)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s119)) <=> (until2p7(s119) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s119)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12269,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s119)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s119) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s119))))),
% 2.74/2.28 inference(monotonicity,[status(thm)],[12268])).
% 2.74/2.28 tff(12270,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s119)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s119) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s119)))),
% 2.74/2.28 inference(transitivity,[status(thm)],[12269, 12267])).
% 2.74/2.28 tff(12271,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s119)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s119))),
% 2.74/2.28 inference(quant_inst,[status(thm)],[])).
% 2.74/2.28 tff(12272,plain,
% 2.74/2.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s119) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s119))),
% 2.74/2.28 inference(modus_ponens,[status(thm)],[12271, 12270])).
% 2.74/2.28 tff(12273,plain,
% 2.74/2.28 ($false),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12272, 8279, 12266, 11275, 12265, 11264])).
% 2.74/2.28 tff(12274,plain,((~trans(s199, s119)) | until2p7(s119) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.28 tff(12275,plain,
% 2.74/2.28 (~trans(s199, s119)),
% 2.74/2.28 inference(unit_resolution,[status(thm)],[12274, 9662, 8266])).
% 2.74/2.28 tff(12276,assumption,(~until2p7(s52)), introduced(assumption)).
% 2.74/2.28 tff(12277,assumption,(trans(s199, s52)), introduced(assumption)).
% 2.74/2.28 tff(12278,plain,
% 2.74/2.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s52) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s52)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s52) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s52)))),
% 2.74/2.28 inference(rewrite,[status(thm)],[])).
% 2.74/2.28 tff(12279,plain,
% 2.74/2.29 (((~trans(s199, s52)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s52)) <=> (until2p7(s52) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s52)))),
% 2.74/2.29 inference(rewrite,[status(thm)],[])).
% 2.74/2.29 tff(12280,plain,
% 2.74/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s52)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s52) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s52))))),
% 2.74/2.29 inference(monotonicity,[status(thm)],[12279])).
% 2.74/2.29 tff(12281,plain,
% 2.74/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s52)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s52) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s52)))),
% 2.74/2.29 inference(transitivity,[status(thm)],[12280, 12278])).
% 2.74/2.29 tff(12282,plain,
% 2.74/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s52)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s52))),
% 2.74/2.29 inference(quant_inst,[status(thm)],[])).
% 2.74/2.29 tff(12283,plain,
% 2.74/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s52) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s52))),
% 2.74/2.29 inference(modus_ponens,[status(thm)],[12282, 12281])).
% 2.74/2.29 tff(12284,plain,
% 2.74/2.29 ($false),
% 2.74/2.29 inference(unit_resolution,[status(thm)],[12283, 8279, 12277, 11275, 12276, 11264])).
% 2.74/2.29 tff(12285,plain,((~trans(s199, s52)) | until2p7(s52) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.29 tff(12286,plain,
% 2.74/2.29 (~trans(s199, s52)),
% 2.74/2.29 inference(unit_resolution,[status(thm)],[12285, 10636, 8266])).
% 2.74/2.29 tff(12287,assumption,(~until2p7(s149)), introduced(assumption)).
% 2.74/2.29 tff(12288,assumption,(trans(s199, s149)), introduced(assumption)).
% 2.74/2.29 tff(12289,plain,
% 2.74/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s149) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s149)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s149) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s149)))),
% 2.74/2.29 inference(rewrite,[status(thm)],[])).
% 2.74/2.29 tff(12290,plain,
% 2.74/2.29 (((~trans(s199, s149)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s149)) <=> (until2p7(s149) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s149)))),
% 2.74/2.29 inference(rewrite,[status(thm)],[])).
% 2.74/2.29 tff(12291,plain,
% 2.74/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s149)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s149) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s149))))),
% 2.74/2.29 inference(monotonicity,[status(thm)],[12290])).
% 2.74/2.29 tff(12292,plain,
% 2.74/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s149)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s149) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s149)))),
% 2.74/2.29 inference(transitivity,[status(thm)],[12291, 12289])).
% 2.74/2.29 tff(12293,plain,
% 2.74/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s149)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s149))),
% 2.74/2.29 inference(quant_inst,[status(thm)],[])).
% 2.74/2.29 tff(12294,plain,
% 2.74/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s149) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s149))),
% 2.74/2.29 inference(modus_ponens,[status(thm)],[12293, 12292])).
% 2.74/2.29 tff(12295,plain,
% 2.74/2.29 ($false),
% 2.74/2.29 inference(unit_resolution,[status(thm)],[12294, 8279, 12288, 11275, 12287, 11264])).
% 2.74/2.29 tff(12296,plain,((~trans(s199, s149)) | until2p7(s149) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.29 tff(12297,plain,
% 2.74/2.29 (~trans(s199, s149)),
% 2.74/2.29 inference(unit_resolution,[status(thm)],[12296, 9269, 8266])).
% 2.74/2.29 tff(12298,assumption,(~until2p7(s99)), introduced(assumption)).
% 2.74/2.29 tff(12299,assumption,(trans(s199, s99)), introduced(assumption)).
% 2.74/2.29 tff(12300,plain,
% 2.74/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s99) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s99)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s99) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s99)))),
% 2.74/2.29 inference(rewrite,[status(thm)],[])).
% 2.74/2.29 tff(12301,plain,
% 2.74/2.29 (((~trans(s199, s99)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s99)) <=> (until2p7(s99) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s99)))),
% 2.74/2.29 inference(rewrite,[status(thm)],[])).
% 2.74/2.29 tff(12302,plain,
% 2.74/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s99)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s99) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s99))))),
% 2.74/2.29 inference(monotonicity,[status(thm)],[12301])).
% 2.74/2.29 tff(12303,plain,
% 2.74/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s99)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s99) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s99)))),
% 2.74/2.29 inference(transitivity,[status(thm)],[12302, 12300])).
% 2.74/2.29 tff(12304,plain,
% 2.74/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s99)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s99))),
% 2.74/2.29 inference(quant_inst,[status(thm)],[])).
% 2.74/2.29 tff(12305,plain,
% 2.74/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s99) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s99))),
% 2.74/2.29 inference(modus_ponens,[status(thm)],[12304, 12303])).
% 2.74/2.29 tff(12306,plain,
% 2.74/2.29 ($false),
% 2.74/2.29 inference(unit_resolution,[status(thm)],[12305, 8279, 12299, 11275, 12298, 11264])).
% 2.74/2.29 tff(12307,plain,((~trans(s199, s99)) | until2p7(s99) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.29 tff(12308,plain,
% 2.74/2.29 (~trans(s199, s99)),
% 2.74/2.29 inference(unit_resolution,[status(thm)],[12307, 9969, 8266])).
% 2.74/2.29 tff(12309,assumption,(~until2p7(s45)), introduced(assumption)).
% 2.74/2.29 tff(12310,assumption,(trans(s199, s45)), introduced(assumption)).
% 2.74/2.29 tff(12311,plain,
% 2.74/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s45) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s45)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s45)))),
% 2.74/2.29 inference(rewrite,[status(thm)],[])).
% 2.74/2.29 tff(12312,plain,
% 2.74/2.29 (((~trans(s199, s45)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s45)) <=> (until2p7(s45) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s45)))),
% 2.74/2.29 inference(rewrite,[status(thm)],[])).
% 2.74/2.29 tff(12313,plain,
% 2.74/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s45)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s45) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s45))))),
% 2.74/2.29 inference(monotonicity,[status(thm)],[12312])).
% 2.74/2.29 tff(12314,plain,
% 2.74/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s45)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s45)))),
% 2.74/2.29 inference(transitivity,[status(thm)],[12313, 12311])).
% 2.74/2.29 tff(12315,plain,
% 2.74/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s45)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s45))),
% 2.74/2.29 inference(quant_inst,[status(thm)],[])).
% 2.74/2.29 tff(12316,plain,
% 2.74/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s45))),
% 2.74/2.29 inference(modus_ponens,[status(thm)],[12315, 12314])).
% 2.74/2.29 tff(12317,plain,
% 2.74/2.29 ($false),
% 2.74/2.29 inference(unit_resolution,[status(thm)],[12316, 8279, 12310, 11275, 12309, 11264])).
% 2.74/2.29 tff(12318,plain,((~trans(s199, s45)) | until2p7(s45) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.29 tff(12319,plain,
% 2.74/2.29 (~trans(s199, s45)),
% 2.74/2.29 inference(unit_resolution,[status(thm)],[12318, 10720, 8266])).
% 2.74/2.29 tff(12320,assumption,(~until2p7(s4)), introduced(assumption)).
% 2.74/2.29 tff(12321,assumption,(trans(s199, s4)), introduced(assumption)).
% 2.74/2.29 tff(12322,plain,
% 2.74/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s4) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s4) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s4)))),
% 2.74/2.29 inference(rewrite,[status(thm)],[])).
% 2.74/2.29 tff(12323,plain,
% 2.74/2.29 (((~trans(s199, s4)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s4)) <=> (until2p7(s4) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s4)))),
% 2.74/2.29 inference(rewrite,[status(thm)],[])).
% 2.74/2.29 tff(12324,plain,
% 2.74/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s4)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s4) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s4))))),
% 2.74/2.29 inference(monotonicity,[status(thm)],[12323])).
% 2.74/2.29 tff(12325,plain,
% 2.74/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s4)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s4) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s4)))),
% 2.74/2.29 inference(transitivity,[status(thm)],[12324, 12322])).
% 2.74/2.29 tff(12326,plain,
% 2.74/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s4)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s4))),
% 2.74/2.29 inference(quant_inst,[status(thm)],[])).
% 2.74/2.29 tff(12327,plain,
% 2.74/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s4) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s4))),
% 2.74/2.29 inference(modus_ponens,[status(thm)],[12326, 12325])).
% 2.74/2.29 tff(12328,plain,
% 2.74/2.29 ($false),
% 2.74/2.29 inference(unit_resolution,[status(thm)],[12327, 8279, 12321, 11275, 12320, 11264])).
% 2.74/2.29 tff(12329,plain,((~trans(s199, s4)) | until2p7(s4) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.29 tff(12330,plain,
% 2.74/2.29 (~trans(s199, s4)),
% 2.74/2.29 inference(unit_resolution,[status(thm)],[12329, 11207, 8266])).
% 2.74/2.29 tff(12331,assumption,(~until2p7(s81)), introduced(assumption)).
% 2.74/2.29 tff(12332,assumption,(trans(s199, s81)), introduced(assumption)).
% 2.74/2.29 tff(12333,plain,
% 2.74/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s81) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s81)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s81) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s81)))),
% 2.74/2.29 inference(rewrite,[status(thm)],[])).
% 2.74/2.29 tff(12334,plain,
% 2.74/2.29 (((~trans(s199, s81)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s81)) <=> (until2p7(s81) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s81)))),
% 2.74/2.29 inference(rewrite,[status(thm)],[])).
% 2.74/2.29 tff(12335,plain,
% 2.74/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s81)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s81) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s81))))),
% 2.74/2.29 inference(monotonicity,[status(thm)],[12334])).
% 2.74/2.29 tff(12336,plain,
% 2.74/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s81)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s81) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s81)))),
% 2.82/2.29 inference(transitivity,[status(thm)],[12335, 12333])).
% 2.82/2.29 tff(12337,plain,
% 2.82/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s81)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s81))),
% 2.82/2.29 inference(quant_inst,[status(thm)],[])).
% 2.82/2.29 tff(12338,plain,
% 2.82/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s81) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s81))),
% 2.82/2.29 inference(modus_ponens,[status(thm)],[12337, 12336])).
% 2.82/2.29 tff(12339,plain,
% 2.82/2.29 ($false),
% 2.82/2.29 inference(unit_resolution,[status(thm)],[12338, 8279, 12332, 11275, 12331, 11264])).
% 2.82/2.29 tff(12340,plain,((~trans(s199, s81)) | until2p7(s81) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.29 tff(12341,plain,
% 2.82/2.29 (~trans(s199, s81)),
% 2.82/2.29 inference(unit_resolution,[status(thm)],[12340, 10288, 8266])).
% 2.82/2.29 tff(12342,assumption,(~until2p7(s43)), introduced(assumption)).
% 2.82/2.29 tff(12343,assumption,(trans(s199, s43)), introduced(assumption)).
% 2.82/2.29 tff(12344,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s43) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s43)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s43) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s43)))),
% 2.82/2.29 inference(rewrite,[status(thm)],[])).
% 2.82/2.29 tff(12345,plain,
% 2.82/2.29 (((~trans(s199, s43)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s43)) <=> (until2p7(s43) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s43)))),
% 2.82/2.29 inference(rewrite,[status(thm)],[])).
% 2.82/2.29 tff(12346,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s43)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s43) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s43))))),
% 2.82/2.29 inference(monotonicity,[status(thm)],[12345])).
% 2.82/2.29 tff(12347,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s43)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s43) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s43)))),
% 2.82/2.29 inference(transitivity,[status(thm)],[12346, 12344])).
% 2.82/2.29 tff(12348,plain,
% 2.82/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s43)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s43))),
% 2.82/2.29 inference(quant_inst,[status(thm)],[])).
% 2.82/2.29 tff(12349,plain,
% 2.82/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s43) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s43))),
% 2.82/2.29 inference(modus_ponens,[status(thm)],[12348, 12347])).
% 2.82/2.29 tff(12350,plain,
% 2.82/2.29 ($false),
% 2.82/2.29 inference(unit_resolution,[status(thm)],[12349, 8279, 12343, 11275, 12342, 11264])).
% 2.82/2.29 tff(12351,plain,((~trans(s199, s43)) | until2p7(s43) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.29 tff(12352,plain,
% 2.82/2.29 (~trans(s199, s43)),
% 2.82/2.29 inference(unit_resolution,[status(thm)],[12351, 10744, 8266])).
% 2.82/2.29 tff(12353,assumption,(~until2p7(s70)), introduced(assumption)).
% 2.82/2.29 tff(12354,assumption,(trans(s199, s70)), introduced(assumption)).
% 2.82/2.29 tff(12355,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s70) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s70)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s70) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s70)))),
% 2.82/2.29 inference(rewrite,[status(thm)],[])).
% 2.82/2.29 tff(12356,plain,
% 2.82/2.29 (((~trans(s199, s70)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s70)) <=> (until2p7(s70) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s70)))),
% 2.82/2.29 inference(rewrite,[status(thm)],[])).
% 2.82/2.29 tff(12357,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s70)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s70) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s70))))),
% 2.82/2.29 inference(monotonicity,[status(thm)],[12356])).
% 2.82/2.29 tff(12358,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s70)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s70) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s70)))),
% 2.82/2.29 inference(transitivity,[status(thm)],[12357, 12355])).
% 2.82/2.29 tff(12359,plain,
% 2.82/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s70)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s70))),
% 2.82/2.29 inference(quant_inst,[status(thm)],[])).
% 2.82/2.29 tff(12360,plain,
% 2.82/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s70) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s70))),
% 2.82/2.29 inference(modus_ponens,[status(thm)],[12359, 12358])).
% 2.82/2.29 tff(12361,plain,
% 2.82/2.29 ($false),
% 2.82/2.29 inference(unit_resolution,[status(thm)],[12360, 8279, 12354, 11275, 12353, 11264])).
% 2.82/2.29 tff(12362,plain,((~trans(s199, s70)) | until2p7(s70) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.29 tff(12363,plain,
% 2.82/2.29 (~trans(s199, s70)),
% 2.82/2.29 inference(unit_resolution,[status(thm)],[12362, 10420, 8266])).
% 2.82/2.29 tff(12364,assumption,(~until2p7(s67)), introduced(assumption)).
% 2.82/2.29 tff(12365,assumption,(trans(s199, s67)), introduced(assumption)).
% 2.82/2.29 tff(12366,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s67) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s67)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s67) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s67)))),
% 2.82/2.29 inference(rewrite,[status(thm)],[])).
% 2.82/2.29 tff(12367,plain,
% 2.82/2.29 (((~trans(s199, s67)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s67)) <=> (until2p7(s67) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s67)))),
% 2.82/2.29 inference(rewrite,[status(thm)],[])).
% 2.82/2.29 tff(12368,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s67)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s67) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s67))))),
% 2.82/2.29 inference(monotonicity,[status(thm)],[12367])).
% 2.82/2.29 tff(12369,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s67)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s67) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s67)))),
% 2.82/2.29 inference(transitivity,[status(thm)],[12368, 12366])).
% 2.82/2.29 tff(12370,plain,
% 2.82/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s67)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s67))),
% 2.82/2.29 inference(quant_inst,[status(thm)],[])).
% 2.82/2.29 tff(12371,plain,
% 2.82/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s67) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s67))),
% 2.82/2.29 inference(modus_ponens,[status(thm)],[12370, 12369])).
% 2.82/2.29 tff(12372,plain,
% 2.82/2.29 ($false),
% 2.82/2.29 inference(unit_resolution,[status(thm)],[12371, 8279, 12365, 11275, 12364, 11264])).
% 2.82/2.29 tff(12373,plain,((~trans(s199, s67)) | until2p7(s67) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.29 tff(12374,plain,
% 2.82/2.29 (~trans(s199, s67)),
% 2.82/2.29 inference(unit_resolution,[status(thm)],[12373, 10456, 8266])).
% 2.82/2.29 tff(12375,assumption,(~until2p7(s56)), introduced(assumption)).
% 2.82/2.29 tff(12376,assumption,(trans(s199, s56)), introduced(assumption)).
% 2.82/2.29 tff(12377,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s56) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s56)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s56) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s56)))),
% 2.82/2.29 inference(rewrite,[status(thm)],[])).
% 2.82/2.29 tff(12378,plain,
% 2.82/2.29 (((~trans(s199, s56)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s56)) <=> (until2p7(s56) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s56)))),
% 2.82/2.29 inference(rewrite,[status(thm)],[])).
% 2.82/2.29 tff(12379,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s56)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s56) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s56))))),
% 2.82/2.29 inference(monotonicity,[status(thm)],[12378])).
% 2.82/2.29 tff(12380,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s56)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s56) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s56)))),
% 2.82/2.29 inference(transitivity,[status(thm)],[12379, 12377])).
% 2.82/2.29 tff(12381,plain,
% 2.82/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s56)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s56))),
% 2.82/2.29 inference(quant_inst,[status(thm)],[])).
% 2.82/2.29 tff(12382,plain,
% 2.82/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s56) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s56))),
% 2.82/2.29 inference(modus_ponens,[status(thm)],[12381, 12380])).
% 2.82/2.29 tff(12383,plain,
% 2.82/2.29 ($false),
% 2.82/2.29 inference(unit_resolution,[status(thm)],[12382, 8279, 12376, 11275, 12375, 11264])).
% 2.82/2.29 tff(12384,plain,((~trans(s199, s56)) | until2p7(s56) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.29 tff(12385,plain,
% 2.82/2.29 (~trans(s199, s56)),
% 2.82/2.29 inference(unit_resolution,[status(thm)],[12384, 10588, 8266])).
% 2.82/2.29 tff(12386,assumption,(~until2p7(s12)), introduced(assumption)).
% 2.82/2.29 tff(12387,assumption,(trans(s199, s12)), introduced(assumption)).
% 2.82/2.29 tff(12388,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s12) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s12)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s12) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s12)))),
% 2.82/2.29 inference(rewrite,[status(thm)],[])).
% 2.82/2.29 tff(12389,plain,
% 2.82/2.29 (((~trans(s199, s12)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s12)) <=> (until2p7(s12) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s12)))),
% 2.82/2.29 inference(rewrite,[status(thm)],[])).
% 2.82/2.29 tff(12390,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s12)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s12) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s12))))),
% 2.82/2.29 inference(monotonicity,[status(thm)],[12389])).
% 2.82/2.29 tff(12391,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s12)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s12) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s12)))),
% 2.82/2.29 inference(transitivity,[status(thm)],[12390, 12388])).
% 2.82/2.29 tff(12392,plain,
% 2.82/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s12)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s12))),
% 2.82/2.29 inference(quant_inst,[status(thm)],[])).
% 2.82/2.29 tff(12393,plain,
% 2.82/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s12) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s12))),
% 2.82/2.29 inference(modus_ponens,[status(thm)],[12392, 12391])).
% 2.82/2.29 tff(12394,plain,
% 2.82/2.29 ($false),
% 2.82/2.29 inference(unit_resolution,[status(thm)],[12393, 8279, 12387, 11275, 12386, 11264])).
% 2.82/2.29 tff(12395,plain,((~trans(s199, s12)) | until2p7(s12) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.29 tff(12396,plain,
% 2.82/2.29 (~trans(s199, s12)),
% 2.82/2.29 inference(unit_resolution,[status(thm)],[12395, 11112, 8266])).
% 2.82/2.29 tff(12397,assumption,(~until2p7(s140)), introduced(assumption)).
% 2.82/2.29 tff(12398,assumption,(trans(s199, s140)), introduced(assumption)).
% 2.82/2.29 tff(12399,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s140) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s140)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s140) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s140)))),
% 2.82/2.29 inference(rewrite,[status(thm)],[])).
% 2.82/2.29 tff(12400,plain,
% 2.82/2.29 (((~trans(s199, s140)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s140)) <=> (until2p7(s140) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s140)))),
% 2.82/2.29 inference(rewrite,[status(thm)],[])).
% 2.82/2.29 tff(12401,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s140)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s140) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s140))))),
% 2.82/2.29 inference(monotonicity,[status(thm)],[12400])).
% 2.82/2.29 tff(12402,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s140)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s140) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s140)))),
% 2.82/2.29 inference(transitivity,[status(thm)],[12401, 12399])).
% 2.82/2.29 tff(12403,plain,
% 2.82/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s140)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s140))),
% 2.82/2.29 inference(quant_inst,[status(thm)],[])).
% 2.82/2.29 tff(12404,plain,
% 2.82/2.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s140) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s140))),
% 2.82/2.29 inference(modus_ponens,[status(thm)],[12403, 12402])).
% 2.82/2.29 tff(12405,plain,
% 2.82/2.29 ($false),
% 2.82/2.29 inference(unit_resolution,[status(thm)],[12404, 8279, 12398, 11275, 12397, 11264])).
% 2.82/2.29 tff(12406,plain,((~trans(s199, s140)) | until2p7(s140) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.29 tff(12407,plain,
% 2.82/2.29 (~trans(s199, s140)),
% 2.82/2.29 inference(unit_resolution,[status(thm)],[12406, 9410, 8266])).
% 2.82/2.29 tff(12408,assumption,(~until2p7(s69)), introduced(assumption)).
% 2.82/2.29 tff(12409,assumption,(trans(s199, s69)), introduced(assumption)).
% 2.82/2.29 tff(12410,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s69) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s69)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s69) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s69)))),
% 2.82/2.29 inference(rewrite,[status(thm)],[])).
% 2.82/2.29 tff(12411,plain,
% 2.82/2.29 (((~trans(s199, s69)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s69)) <=> (until2p7(s69) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s69)))),
% 2.82/2.29 inference(rewrite,[status(thm)],[])).
% 2.82/2.29 tff(12412,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s69)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s69) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s69))))),
% 2.82/2.29 inference(monotonicity,[status(thm)],[12411])).
% 2.82/2.29 tff(12413,plain,
% 2.82/2.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s69)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s69) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s69)))),
% 2.82/2.30 inference(transitivity,[status(thm)],[12412, 12410])).
% 2.82/2.30 tff(12414,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s69)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s69))),
% 2.82/2.30 inference(quant_inst,[status(thm)],[])).
% 2.82/2.30 tff(12415,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s69) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s69))),
% 2.82/2.30 inference(modus_ponens,[status(thm)],[12414, 12413])).
% 2.82/2.30 tff(12416,plain,
% 2.82/2.30 ($false),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12415, 8279, 12409, 11275, 12408, 11264])).
% 2.82/2.30 tff(12417,plain,((~trans(s199, s69)) | until2p7(s69) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.30 tff(12418,plain,
% 2.82/2.30 (~trans(s199, s69)),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12417, 10432, 8266])).
% 2.82/2.30 tff(12419,assumption,(~until2p7(s134)), introduced(assumption)).
% 2.82/2.30 tff(12420,assumption,(trans(s199, s134)), introduced(assumption)).
% 2.82/2.30 tff(12421,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s134) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s134)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s134) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s134)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12422,plain,
% 2.82/2.30 (((~trans(s199, s134)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s134)) <=> (until2p7(s134) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s134)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12423,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s134)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s134) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s134))))),
% 2.82/2.30 inference(monotonicity,[status(thm)],[12422])).
% 2.82/2.30 tff(12424,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s134)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s134) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s134)))),
% 2.82/2.30 inference(transitivity,[status(thm)],[12423, 12421])).
% 2.82/2.30 tff(12425,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s134)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s134))),
% 2.82/2.30 inference(quant_inst,[status(thm)],[])).
% 2.82/2.30 tff(12426,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s134) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s134))),
% 2.82/2.30 inference(modus_ponens,[status(thm)],[12425, 12424])).
% 2.82/2.30 tff(12427,plain,
% 2.82/2.30 ($false),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12426, 8279, 12420, 11275, 12419, 11264])).
% 2.82/2.30 tff(12428,plain,((~trans(s199, s134)) | until2p7(s134) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.30 tff(12429,plain,
% 2.82/2.30 (~trans(s199, s134)),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12428, 9482, 8266])).
% 2.82/2.30 tff(12430,assumption,(~until2p7(s51)), introduced(assumption)).
% 2.82/2.30 tff(12431,assumption,(trans(s199, s51)), introduced(assumption)).
% 2.82/2.30 tff(12432,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s51) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s51)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s51) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s51)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12433,plain,
% 2.82/2.30 (((~trans(s199, s51)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s51)) <=> (until2p7(s51) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s51)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12434,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s51)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s51) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s51))))),
% 2.82/2.30 inference(monotonicity,[status(thm)],[12433])).
% 2.82/2.30 tff(12435,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s51)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s51) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s51)))),
% 2.82/2.30 inference(transitivity,[status(thm)],[12434, 12432])).
% 2.82/2.30 tff(12436,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s51)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s51))),
% 2.82/2.30 inference(quant_inst,[status(thm)],[])).
% 2.82/2.30 tff(12437,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s51) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s51))),
% 2.82/2.30 inference(modus_ponens,[status(thm)],[12436, 12435])).
% 2.82/2.30 tff(12438,plain,
% 2.82/2.30 ($false),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12437, 8279, 12431, 11275, 12430, 11264])).
% 2.82/2.30 tff(12439,plain,((~trans(s199, s51)) | until2p7(s51) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.30 tff(12440,plain,
% 2.82/2.30 (~trans(s199, s51)),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12439, 10648, 8266])).
% 2.82/2.30 tff(12441,assumption,(~until2p7(s80)), introduced(assumption)).
% 2.82/2.30 tff(12442,assumption,(trans(s199, s80)), introduced(assumption)).
% 2.82/2.30 tff(12443,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s80) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s80)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s80) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s80)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12444,plain,
% 2.82/2.30 (((~trans(s199, s80)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s80)) <=> (until2p7(s80) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s80)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12445,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s80)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s80) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s80))))),
% 2.82/2.30 inference(monotonicity,[status(thm)],[12444])).
% 2.82/2.30 tff(12446,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s80)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s80) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s80)))),
% 2.82/2.30 inference(transitivity,[status(thm)],[12445, 12443])).
% 2.82/2.30 tff(12447,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s80)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s80))),
% 2.82/2.30 inference(quant_inst,[status(thm)],[])).
% 2.82/2.30 tff(12448,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s80) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s80))),
% 2.82/2.30 inference(modus_ponens,[status(thm)],[12447, 12446])).
% 2.82/2.30 tff(12449,plain,
% 2.82/2.30 ($false),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12448, 8279, 12442, 11275, 12441, 11264])).
% 2.82/2.30 tff(12450,plain,((~trans(s199, s80)) | until2p7(s80) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.30 tff(12451,plain,
% 2.82/2.30 (~trans(s199, s80)),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12450, 10300, 8266])).
% 2.82/2.30 tff(12452,assumption,(~until2p7(s3)), introduced(assumption)).
% 2.82/2.30 tff(12453,assumption,(trans(s199, s3)), introduced(assumption)).
% 2.82/2.30 tff(12454,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s3) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s3) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s3)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12455,plain,
% 2.82/2.30 (((~trans(s199, s3)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s3)) <=> (until2p7(s3) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s3)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12456,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s3)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s3) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s3))))),
% 2.82/2.30 inference(monotonicity,[status(thm)],[12455])).
% 2.82/2.30 tff(12457,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s3)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s3) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s3)))),
% 2.82/2.30 inference(transitivity,[status(thm)],[12456, 12454])).
% 2.82/2.30 tff(12458,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s3)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s3))),
% 2.82/2.30 inference(quant_inst,[status(thm)],[])).
% 2.82/2.30 tff(12459,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s3) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s3))),
% 2.82/2.30 inference(modus_ponens,[status(thm)],[12458, 12457])).
% 2.82/2.30 tff(12460,plain,
% 2.82/2.30 ($false),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12459, 8279, 12453, 11275, 12452, 11264])).
% 2.82/2.30 tff(12461,plain,((~trans(s199, s3)) | until2p7(s3) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.30 tff(12462,plain,
% 2.82/2.30 (~trans(s199, s3)),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12461, 11219, 8266])).
% 2.82/2.30 tff(12463,assumption,(~until2p7(s186)), introduced(assumption)).
% 2.82/2.30 tff(12464,assumption,(trans(s199, s186)), introduced(assumption)).
% 2.82/2.30 tff(12465,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s186) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s186)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s186) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s186)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12466,plain,
% 2.82/2.30 (((~trans(s199, s186)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s186)) <=> (until2p7(s186) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s186)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12467,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s186)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s186) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s186))))),
% 2.82/2.30 inference(monotonicity,[status(thm)],[12466])).
% 2.82/2.30 tff(12468,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s186)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s186) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s186)))),
% 2.82/2.30 inference(transitivity,[status(thm)],[12467, 12465])).
% 2.82/2.30 tff(12469,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s186)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s186))),
% 2.82/2.30 inference(quant_inst,[status(thm)],[])).
% 2.82/2.30 tff(12470,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s186) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s186))),
% 2.82/2.30 inference(modus_ponens,[status(thm)],[12469, 12468])).
% 2.82/2.30 tff(12471,plain,
% 2.82/2.30 ($false),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12470, 8279, 12464, 11275, 12463, 11264])).
% 2.82/2.30 tff(12472,plain,((~trans(s199, s186)) | until2p7(s186) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.30 tff(12473,plain,
% 2.82/2.30 (~trans(s199, s186)),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12472, 8525, 8266])).
% 2.82/2.30 tff(12474,assumption,(~until2p7(s199)), introduced(assumption)).
% 2.82/2.30 tff(12475,assumption,(trans(s199, s199)), introduced(assumption)).
% 2.82/2.30 tff(12476,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s199) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s199)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s199) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s199)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12477,plain,
% 2.82/2.30 (((~trans(s199, s199)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s199)) <=> (until2p7(s199) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s199)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12478,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s199)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s199) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s199))))),
% 2.82/2.30 inference(monotonicity,[status(thm)],[12477])).
% 2.82/2.30 tff(12479,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s199)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s199) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s199)))),
% 2.82/2.30 inference(transitivity,[status(thm)],[12478, 12476])).
% 2.82/2.30 tff(12480,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s199)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s199))),
% 2.82/2.30 inference(quant_inst,[status(thm)],[])).
% 2.82/2.30 tff(12481,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s199) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s199))),
% 2.82/2.30 inference(modus_ponens,[status(thm)],[12480, 12479])).
% 2.82/2.30 tff(12482,plain,
% 2.82/2.30 ($false),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12481, 8279, 12475, 11275, 12474, 11264])).
% 2.82/2.30 tff(12483,plain,((~trans(s199, s199)) | until2p7(s199) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.30 tff(12484,plain,
% 2.82/2.30 (~trans(s199, s199)),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12483, 8298, 8266])).
% 2.82/2.30 tff(12485,assumption,(~until2p7(s170)), introduced(assumption)).
% 2.82/2.30 tff(12486,assumption,(trans(s199, s170)), introduced(assumption)).
% 2.82/2.30 tff(12487,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s170) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s170)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s170) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s170)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12488,plain,
% 2.82/2.30 (((~trans(s199, s170)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s170)) <=> (until2p7(s170) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s170)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12489,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s170)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s170) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s170))))),
% 2.82/2.30 inference(monotonicity,[status(thm)],[12488])).
% 2.82/2.30 tff(12490,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s170)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s170) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s170)))),
% 2.82/2.30 inference(transitivity,[status(thm)],[12489, 12487])).
% 2.82/2.30 tff(12491,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s170)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s170))),
% 2.82/2.30 inference(quant_inst,[status(thm)],[])).
% 2.82/2.30 tff(12492,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s170) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s170))),
% 2.82/2.30 inference(modus_ponens,[status(thm)],[12491, 12490])).
% 2.82/2.30 tff(12493,plain,
% 2.82/2.30 ($false),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12492, 8279, 12486, 11275, 12485, 11264])).
% 2.82/2.30 tff(12494,plain,((~trans(s199, s170)) | until2p7(s170) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.30 tff(12495,plain,
% 2.82/2.30 (~trans(s199, s170)),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12494, 8798, 8266])).
% 2.82/2.30 tff(12496,assumption,(~until2p7(s72)), introduced(assumption)).
% 2.82/2.30 tff(12497,assumption,(trans(s199, s72)), introduced(assumption)).
% 2.82/2.30 tff(12498,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s72) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s72)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s72) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s72)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12499,plain,
% 2.82/2.30 (((~trans(s199, s72)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s72)) <=> (until2p7(s72) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s72)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12500,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s72)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s72) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s72))))),
% 2.82/2.30 inference(monotonicity,[status(thm)],[12499])).
% 2.82/2.30 tff(12501,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s72)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s72) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s72)))),
% 2.82/2.30 inference(transitivity,[status(thm)],[12500, 12498])).
% 2.82/2.30 tff(12502,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s72)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s72))),
% 2.82/2.30 inference(quant_inst,[status(thm)],[])).
% 2.82/2.30 tff(12503,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s72) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s72))),
% 2.82/2.30 inference(modus_ponens,[status(thm)],[12502, 12501])).
% 2.82/2.30 tff(12504,plain,
% 2.82/2.30 ($false),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12503, 8279, 12497, 11275, 12496, 11264])).
% 2.82/2.30 tff(12505,plain,((~trans(s199, s72)) | until2p7(s72) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.30 tff(12506,plain,
% 2.82/2.30 (~trans(s199, s72)),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12505, 10396, 8266])).
% 2.82/2.30 tff(12507,assumption,(~until2p7(s29)), introduced(assumption)).
% 2.82/2.30 tff(12508,assumption,(trans(s199, s29)), introduced(assumption)).
% 2.82/2.30 tff(12509,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s29) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s29)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s29) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s29)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12510,plain,
% 2.82/2.30 (((~trans(s199, s29)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s29)) <=> (until2p7(s29) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s29)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12511,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s29)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s29) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s29))))),
% 2.82/2.30 inference(monotonicity,[status(thm)],[12510])).
% 2.82/2.30 tff(12512,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s29)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s29) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s29)))),
% 2.82/2.30 inference(transitivity,[status(thm)],[12511, 12509])).
% 2.82/2.30 tff(12513,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s29)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s29))),
% 2.82/2.30 inference(quant_inst,[status(thm)],[])).
% 2.82/2.30 tff(12514,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s29) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s29))),
% 2.82/2.30 inference(modus_ponens,[status(thm)],[12513, 12512])).
% 2.82/2.30 tff(12515,plain,
% 2.82/2.30 ($false),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12514, 8279, 12508, 11275, 12507, 11264])).
% 2.82/2.30 tff(12516,plain,((~trans(s199, s29)) | until2p7(s29) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.30 tff(12517,plain,
% 2.82/2.30 (~trans(s199, s29)),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12516, 10910, 8266])).
% 2.82/2.30 tff(12518,assumption,(~until2p7(s86)), introduced(assumption)).
% 2.82/2.30 tff(12519,assumption,(trans(s199, s86)), introduced(assumption)).
% 2.82/2.30 tff(12520,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s86) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s86)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s86) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s86)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12521,plain,
% 2.82/2.30 (((~trans(s199, s86)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s86)) <=> (until2p7(s86) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s86)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12522,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s86)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s86) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s86))))),
% 2.82/2.30 inference(monotonicity,[status(thm)],[12521])).
% 2.82/2.30 tff(12523,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s86)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s86) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s86)))),
% 2.82/2.30 inference(transitivity,[status(thm)],[12522, 12520])).
% 2.82/2.30 tff(12524,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s86)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s86))),
% 2.82/2.30 inference(quant_inst,[status(thm)],[])).
% 2.82/2.30 tff(12525,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s86) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s86))),
% 2.82/2.30 inference(modus_ponens,[status(thm)],[12524, 12523])).
% 2.82/2.30 tff(12526,plain,
% 2.82/2.30 ($false),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12525, 8279, 12519, 11275, 12518, 11264])).
% 2.82/2.30 tff(12527,plain,((~trans(s199, s86)) | until2p7(s86) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.30 tff(12528,plain,
% 2.82/2.30 (~trans(s199, s86)),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12527, 10194, 8266])).
% 2.82/2.30 tff(12529,assumption,(~until2p7(s57)), introduced(assumption)).
% 2.82/2.30 tff(12530,assumption,(trans(s199, s57)), introduced(assumption)).
% 2.82/2.30 tff(12531,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s57) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s57)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s57) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s57)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12532,plain,
% 2.82/2.30 (((~trans(s199, s57)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s57)) <=> (until2p7(s57) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s57)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12533,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s57)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s57) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s57))))),
% 2.82/2.30 inference(monotonicity,[status(thm)],[12532])).
% 2.82/2.30 tff(12534,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s57)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s57) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s57)))),
% 2.82/2.30 inference(transitivity,[status(thm)],[12533, 12531])).
% 2.82/2.30 tff(12535,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s57)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s57))),
% 2.82/2.30 inference(quant_inst,[status(thm)],[])).
% 2.82/2.30 tff(12536,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s57) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s57))),
% 2.82/2.30 inference(modus_ponens,[status(thm)],[12535, 12534])).
% 2.82/2.30 tff(12537,plain,
% 2.82/2.30 ($false),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12536, 8279, 12530, 11275, 12529, 11264])).
% 2.82/2.30 tff(12538,plain,((~trans(s199, s57)) | until2p7(s57) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.30 tff(12539,plain,
% 2.82/2.30 (~trans(s199, s57)),
% 2.82/2.30 inference(unit_resolution,[status(thm)],[12538, 10576, 8266])).
% 2.82/2.30 tff(12540,assumption,(~until2p7(s23)), introduced(assumption)).
% 2.82/2.30 tff(12541,assumption,(trans(s199, s23)), introduced(assumption)).
% 2.82/2.30 tff(12542,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s23) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s23)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s23) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s23)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12543,plain,
% 2.82/2.30 (((~trans(s199, s23)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s23)) <=> (until2p7(s23) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s23)))),
% 2.82/2.30 inference(rewrite,[status(thm)],[])).
% 2.82/2.30 tff(12544,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s23)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s23) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s23))))),
% 2.82/2.30 inference(monotonicity,[status(thm)],[12543])).
% 2.82/2.30 tff(12545,plain,
% 2.82/2.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s23)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s23) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s23)))),
% 2.82/2.30 inference(transitivity,[status(thm)],[12544, 12542])).
% 2.82/2.30 tff(12546,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s23)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s23))),
% 2.82/2.30 inference(quant_inst,[status(thm)],[])).
% 2.82/2.30 tff(12547,plain,
% 2.82/2.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s23) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s23))),
% 2.82/2.31 inference(modus_ponens,[status(thm)],[12546, 12545])).
% 2.82/2.31 tff(12548,plain,
% 2.82/2.31 ($false),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12547, 8279, 12541, 11275, 12540, 11264])).
% 2.82/2.31 tff(12549,plain,((~trans(s199, s23)) | until2p7(s23) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.31 tff(12550,plain,
% 2.82/2.31 (~trans(s199, s23)),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12549, 10981, 8266])).
% 2.82/2.31 tff(12551,assumption,(~until2p7(s122)), introduced(assumption)).
% 2.82/2.31 tff(12552,assumption,(trans(s199, s122)), introduced(assumption)).
% 2.82/2.31 tff(12553,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s122) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s122)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s122) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s122)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12554,plain,
% 2.82/2.31 (((~trans(s199, s122)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s122)) <=> (until2p7(s122) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s122)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12555,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s122)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s122) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s122))))),
% 2.82/2.31 inference(monotonicity,[status(thm)],[12554])).
% 2.82/2.31 tff(12556,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s122)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s122) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s122)))),
% 2.82/2.31 inference(transitivity,[status(thm)],[12555, 12553])).
% 2.82/2.31 tff(12557,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s122)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s122))),
% 2.82/2.31 inference(quant_inst,[status(thm)],[])).
% 2.82/2.31 tff(12558,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s122) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s122))),
% 2.82/2.31 inference(modus_ponens,[status(thm)],[12557, 12556])).
% 2.82/2.31 tff(12559,plain,
% 2.82/2.31 ($false),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12558, 8279, 12552, 11275, 12551, 11264])).
% 2.82/2.31 tff(12560,plain,((~trans(s199, s122)) | until2p7(s122) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.31 tff(12561,plain,
% 2.82/2.31 (~trans(s199, s122)),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12560, 9626, 8266])).
% 2.82/2.31 tff(12562,assumption,(~until2p7(s131)), introduced(assumption)).
% 2.82/2.31 tff(12563,assumption,(trans(s199, s131)), introduced(assumption)).
% 2.82/2.31 tff(12564,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s131) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s131)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s131) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s131)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12565,plain,
% 2.82/2.31 (((~trans(s199, s131)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s131)) <=> (until2p7(s131) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s131)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12566,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s131)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s131) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s131))))),
% 2.82/2.31 inference(monotonicity,[status(thm)],[12565])).
% 2.82/2.31 tff(12567,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s131)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s131) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s131)))),
% 2.82/2.31 inference(transitivity,[status(thm)],[12566, 12564])).
% 2.82/2.31 tff(12568,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s131)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s131))),
% 2.82/2.31 inference(quant_inst,[status(thm)],[])).
% 2.82/2.31 tff(12569,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s131) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s131))),
% 2.82/2.31 inference(modus_ponens,[status(thm)],[12568, 12567])).
% 2.82/2.31 tff(12570,plain,
% 2.82/2.31 ($false),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12569, 8279, 12563, 11275, 12562, 11264])).
% 2.82/2.31 tff(12571,plain,((~trans(s199, s131)) | until2p7(s131) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.31 tff(12572,plain,
% 2.82/2.31 (~trans(s199, s131)),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12571, 9518, 8266])).
% 2.82/2.31 tff(12573,assumption,(~until2p7(s65)), introduced(assumption)).
% 2.82/2.31 tff(12574,assumption,(trans(s199, s65)), introduced(assumption)).
% 2.82/2.31 tff(12575,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s65) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s65)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s65) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s65)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12576,plain,
% 2.82/2.31 (((~trans(s199, s65)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s65)) <=> (until2p7(s65) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s65)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12577,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s65)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s65) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s65))))),
% 2.82/2.31 inference(monotonicity,[status(thm)],[12576])).
% 2.82/2.31 tff(12578,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s65)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s65) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s65)))),
% 2.82/2.31 inference(transitivity,[status(thm)],[12577, 12575])).
% 2.82/2.31 tff(12579,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s65)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s65))),
% 2.82/2.31 inference(quant_inst,[status(thm)],[])).
% 2.82/2.31 tff(12580,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s65) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s65))),
% 2.82/2.31 inference(modus_ponens,[status(thm)],[12579, 12578])).
% 2.82/2.31 tff(12581,plain,
% 2.82/2.31 ($false),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12580, 8279, 12574, 11275, 12573, 11264])).
% 2.82/2.31 tff(12582,plain,((~trans(s199, s65)) | until2p7(s65) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.31 tff(12583,plain,
% 2.82/2.31 (~trans(s199, s65)),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12582, 10480, 8266])).
% 2.82/2.31 tff(12584,assumption,(~until2p7(s160)), introduced(assumption)).
% 2.82/2.31 tff(12585,assumption,(trans(s199, s160)), introduced(assumption)).
% 2.82/2.31 tff(12586,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s160) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s160)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s160) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s160)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12587,plain,
% 2.82/2.31 (((~trans(s199, s160)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s160)) <=> (until2p7(s160) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s160)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12588,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s160)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s160) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s160))))),
% 2.82/2.31 inference(monotonicity,[status(thm)],[12587])).
% 2.82/2.31 tff(12589,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s160)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s160) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s160)))),
% 2.82/2.31 inference(transitivity,[status(thm)],[12588, 12586])).
% 2.82/2.31 tff(12590,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s160)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s160))),
% 2.82/2.31 inference(quant_inst,[status(thm)],[])).
% 2.82/2.31 tff(12591,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s160) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s160))),
% 2.82/2.31 inference(modus_ponens,[status(thm)],[12590, 12589])).
% 2.82/2.31 tff(12592,plain,
% 2.82/2.31 ($false),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12591, 8279, 12585, 11275, 12584, 11264])).
% 2.82/2.31 tff(12593,plain,((~trans(s199, s160)) | until2p7(s160) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.31 tff(12594,plain,
% 2.82/2.31 (~trans(s199, s160)),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12593, 9074, 8266])).
% 2.82/2.31 tff(12595,assumption,(~until2p7(s151)), introduced(assumption)).
% 2.82/2.31 tff(12596,assumption,(trans(s199, s151)), introduced(assumption)).
% 2.82/2.31 tff(12597,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s151) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s151)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s151) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s151)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12598,plain,
% 2.82/2.31 (((~trans(s199, s151)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s151)) <=> (until2p7(s151) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s151)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12599,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s151)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s151) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s151))))),
% 2.82/2.31 inference(monotonicity,[status(thm)],[12598])).
% 2.82/2.31 tff(12600,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s151)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s151) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s151)))),
% 2.82/2.31 inference(transitivity,[status(thm)],[12599, 12597])).
% 2.82/2.31 tff(12601,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s151)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s151))),
% 2.82/2.31 inference(quant_inst,[status(thm)],[])).
% 2.82/2.31 tff(12602,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s151) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s151))),
% 2.82/2.31 inference(modus_ponens,[status(thm)],[12601, 12600])).
% 2.82/2.31 tff(12603,plain,
% 2.82/2.31 ($false),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12602, 8279, 12596, 11275, 12595, 11264])).
% 2.82/2.31 tff(12604,plain,((~trans(s199, s151)) | until2p7(s151) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.31 tff(12605,plain,
% 2.82/2.31 (~trans(s199, s151)),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12604, 9245, 8266])).
% 2.82/2.31 tff(12606,assumption,(~until2p7(s74)), introduced(assumption)).
% 2.82/2.31 tff(12607,assumption,(trans(s199, s74)), introduced(assumption)).
% 2.82/2.31 tff(12608,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s74) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s74)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s74) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s74)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12609,plain,
% 2.82/2.31 (((~trans(s199, s74)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s74)) <=> (until2p7(s74) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s74)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12610,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s74)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s74) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s74))))),
% 2.82/2.31 inference(monotonicity,[status(thm)],[12609])).
% 2.82/2.31 tff(12611,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s74)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s74) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s74)))),
% 2.82/2.31 inference(transitivity,[status(thm)],[12610, 12608])).
% 2.82/2.31 tff(12612,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s74)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s74))),
% 2.82/2.31 inference(quant_inst,[status(thm)],[])).
% 2.82/2.31 tff(12613,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s74) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s74))),
% 2.82/2.31 inference(modus_ponens,[status(thm)],[12612, 12611])).
% 2.82/2.31 tff(12614,plain,
% 2.82/2.31 ($false),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12613, 8279, 12607, 11275, 12606, 11264])).
% 2.82/2.31 tff(12615,plain,((~trans(s199, s74)) | until2p7(s74) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.31 tff(12616,plain,
% 2.82/2.31 (~trans(s199, s74)),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12615, 10372, 8266])).
% 2.82/2.31 tff(12617,assumption,(~until2p7(s9)), introduced(assumption)).
% 2.82/2.31 tff(12618,assumption,(trans(s199, s9)), introduced(assumption)).
% 2.82/2.31 tff(12619,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s9) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s9)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s9) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s9)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12620,plain,
% 2.82/2.31 (((~trans(s199, s9)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s9)) <=> (until2p7(s9) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s9)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12621,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s9)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s9) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s9))))),
% 2.82/2.31 inference(monotonicity,[status(thm)],[12620])).
% 2.82/2.31 tff(12622,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s9)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s9) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s9)))),
% 2.82/2.31 inference(transitivity,[status(thm)],[12621, 12619])).
% 2.82/2.31 tff(12623,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s9)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s9))),
% 2.82/2.31 inference(quant_inst,[status(thm)],[])).
% 2.82/2.31 tff(12624,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s9) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s9))),
% 2.82/2.31 inference(modus_ponens,[status(thm)],[12623, 12622])).
% 2.82/2.31 tff(12625,plain,
% 2.82/2.31 ($false),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12624, 8279, 12618, 11275, 12617, 11264])).
% 2.82/2.31 tff(12626,plain,((~trans(s199, s9)) | until2p7(s9) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.31 tff(12627,plain,
% 2.82/2.31 (~trans(s199, s9)),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12626, 11147, 8266])).
% 2.82/2.31 tff(12628,assumption,(~until2p7(s125)), introduced(assumption)).
% 2.82/2.31 tff(12629,assumption,(trans(s199, s125)), introduced(assumption)).
% 2.82/2.31 tff(12630,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s125) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s125)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s125) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s125)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12631,plain,
% 2.82/2.31 (((~trans(s199, s125)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s125)) <=> (until2p7(s125) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s125)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12632,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s125)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s125) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s125))))),
% 2.82/2.31 inference(monotonicity,[status(thm)],[12631])).
% 2.82/2.31 tff(12633,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s125)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s125) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s125)))),
% 2.82/2.31 inference(transitivity,[status(thm)],[12632, 12630])).
% 2.82/2.31 tff(12634,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s125)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s125))),
% 2.82/2.31 inference(quant_inst,[status(thm)],[])).
% 2.82/2.31 tff(12635,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s125) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s125))),
% 2.82/2.31 inference(modus_ponens,[status(thm)],[12634, 12633])).
% 2.82/2.31 tff(12636,plain,
% 2.82/2.31 ($false),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12635, 8279, 12629, 11275, 12628, 11264])).
% 2.82/2.31 tff(12637,plain,((~trans(s199, s125)) | until2p7(s125) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.31 tff(12638,plain,
% 2.82/2.31 (~trans(s199, s125)),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12637, 9590, 8266])).
% 2.82/2.31 tff(12639,assumption,(~until2p7(s129)), introduced(assumption)).
% 2.82/2.31 tff(12640,assumption,(trans(s199, s129)), introduced(assumption)).
% 2.82/2.31 tff(12641,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s129) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s129)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s129) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s129)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12642,plain,
% 2.82/2.31 (((~trans(s199, s129)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s129)) <=> (until2p7(s129) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s129)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12643,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s129)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s129) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s129))))),
% 2.82/2.31 inference(monotonicity,[status(thm)],[12642])).
% 2.82/2.31 tff(12644,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s129)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s129) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s129)))),
% 2.82/2.31 inference(transitivity,[status(thm)],[12643, 12641])).
% 2.82/2.31 tff(12645,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s129)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s129))),
% 2.82/2.31 inference(quant_inst,[status(thm)],[])).
% 2.82/2.31 tff(12646,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s129) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s129))),
% 2.82/2.31 inference(modus_ponens,[status(thm)],[12645, 12644])).
% 2.82/2.31 tff(12647,plain,
% 2.82/2.31 ($false),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12646, 8279, 12640, 11275, 12639, 11264])).
% 2.82/2.31 tff(12648,plain,((~trans(s199, s129)) | until2p7(s129) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.31 tff(12649,plain,
% 2.82/2.31 (~trans(s199, s129)),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12648, 9542, 8266])).
% 2.82/2.31 tff(12650,assumption,(~until2p7(s113)), introduced(assumption)).
% 2.82/2.31 tff(12651,assumption,(trans(s199, s113)), introduced(assumption)).
% 2.82/2.31 tff(12652,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s113) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s113)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s113) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s113)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12653,plain,
% 2.82/2.31 (((~trans(s199, s113)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s113)) <=> (until2p7(s113) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s113)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12654,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s113)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s113) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s113))))),
% 2.82/2.31 inference(monotonicity,[status(thm)],[12653])).
% 2.82/2.31 tff(12655,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s113)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s113) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s113)))),
% 2.82/2.31 inference(transitivity,[status(thm)],[12654, 12652])).
% 2.82/2.31 tff(12656,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s113)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s113))),
% 2.82/2.31 inference(quant_inst,[status(thm)],[])).
% 2.82/2.31 tff(12657,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s113) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s113))),
% 2.82/2.31 inference(modus_ponens,[status(thm)],[12656, 12655])).
% 2.82/2.31 tff(12658,plain,
% 2.82/2.31 ($false),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12657, 8279, 12651, 11275, 12650, 11264])).
% 2.82/2.31 tff(12659,plain,((~trans(s199, s113)) | until2p7(s113) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.31 tff(12660,plain,
% 2.82/2.31 (~trans(s199, s113)),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12659, 9734, 8266])).
% 2.82/2.31 tff(12661,assumption,(~until2p7(s121)), introduced(assumption)).
% 2.82/2.31 tff(12662,assumption,(trans(s199, s121)), introduced(assumption)).
% 2.82/2.31 tff(12663,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s121) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s121)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s121) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s121)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12664,plain,
% 2.82/2.31 (((~trans(s199, s121)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s121)) <=> (until2p7(s121) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s121)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12665,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s121)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s121) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s121))))),
% 2.82/2.31 inference(monotonicity,[status(thm)],[12664])).
% 2.82/2.31 tff(12666,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s121)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s121) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s121)))),
% 2.82/2.31 inference(transitivity,[status(thm)],[12665, 12663])).
% 2.82/2.31 tff(12667,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s121)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s121))),
% 2.82/2.31 inference(quant_inst,[status(thm)],[])).
% 2.82/2.31 tff(12668,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s121) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s121))),
% 2.82/2.31 inference(modus_ponens,[status(thm)],[12667, 12666])).
% 2.82/2.31 tff(12669,plain,
% 2.82/2.31 ($false),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12668, 8279, 12662, 11275, 12661, 11264])).
% 2.82/2.31 tff(12670,plain,((~trans(s199, s121)) | until2p7(s121) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.31 tff(12671,plain,
% 2.82/2.31 (~trans(s199, s121)),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12670, 9638, 8266])).
% 2.82/2.31 tff(12672,assumption,(~until2p7(s101)), introduced(assumption)).
% 2.82/2.31 tff(12673,assumption,(trans(s199, s101)), introduced(assumption)).
% 2.82/2.31 tff(12674,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s101) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s101)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s101) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s101)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12675,plain,
% 2.82/2.31 (((~trans(s199, s101)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s101)) <=> (until2p7(s101) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s101)))),
% 2.82/2.31 inference(rewrite,[status(thm)],[])).
% 2.82/2.31 tff(12676,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s101)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s101) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s101))))),
% 2.82/2.31 inference(monotonicity,[status(thm)],[12675])).
% 2.82/2.31 tff(12677,plain,
% 2.82/2.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s101)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s101) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s101)))),
% 2.82/2.31 inference(transitivity,[status(thm)],[12676, 12674])).
% 2.82/2.31 tff(12678,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s101)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s101))),
% 2.82/2.31 inference(quant_inst,[status(thm)],[])).
% 2.82/2.31 tff(12679,plain,
% 2.82/2.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s101) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s101))),
% 2.82/2.31 inference(modus_ponens,[status(thm)],[12678, 12677])).
% 2.82/2.31 tff(12680,plain,
% 2.82/2.31 ($false),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12679, 8279, 12673, 11275, 12672, 11264])).
% 2.82/2.31 tff(12681,plain,((~trans(s199, s101)) | until2p7(s101) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.31 tff(12682,plain,
% 2.82/2.31 (~trans(s199, s101)),
% 2.82/2.31 inference(unit_resolution,[status(thm)],[12681, 9912, 8266])).
% 2.82/2.32 tff(12683,assumption,(~until2p7(s77)), introduced(assumption)).
% 2.82/2.32 tff(12684,assumption,(trans(s199, s77)), introduced(assumption)).
% 2.82/2.32 tff(12685,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s77) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s77)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s77) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s77)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12686,plain,
% 2.82/2.32 (((~trans(s199, s77)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s77)) <=> (until2p7(s77) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s77)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12687,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s77)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s77) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s77))))),
% 2.82/2.32 inference(monotonicity,[status(thm)],[12686])).
% 2.82/2.32 tff(12688,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s77)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s77) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s77)))),
% 2.82/2.32 inference(transitivity,[status(thm)],[12687, 12685])).
% 2.82/2.32 tff(12689,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s77)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s77))),
% 2.82/2.32 inference(quant_inst,[status(thm)],[])).
% 2.82/2.32 tff(12690,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s77) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s77))),
% 2.82/2.32 inference(modus_ponens,[status(thm)],[12689, 12688])).
% 2.82/2.32 tff(12691,plain,
% 2.82/2.32 ($false),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12690, 8279, 12684, 11275, 12683, 11264])).
% 2.82/2.32 tff(12692,plain,((~trans(s199, s77)) | until2p7(s77) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.32 tff(12693,plain,
% 2.82/2.32 (~trans(s199, s77)),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12692, 10336, 8266])).
% 2.82/2.32 tff(12694,assumption,(~until2p7(s33)), introduced(assumption)).
% 2.82/2.32 tff(12695,assumption,(trans(s199, s33)), introduced(assumption)).
% 2.82/2.32 tff(12696,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s33) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s33)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s33) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s33)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12697,plain,
% 2.82/2.32 (((~trans(s199, s33)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s33)) <=> (until2p7(s33) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s33)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12698,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s33)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s33) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s33))))),
% 2.82/2.32 inference(monotonicity,[status(thm)],[12697])).
% 2.82/2.32 tff(12699,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s33)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s33) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s33)))),
% 2.82/2.32 inference(transitivity,[status(thm)],[12698, 12696])).
% 2.82/2.32 tff(12700,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s33)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s33))),
% 2.82/2.32 inference(quant_inst,[status(thm)],[])).
% 2.82/2.32 tff(12701,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s33) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s33))),
% 2.82/2.32 inference(modus_ponens,[status(thm)],[12700, 12699])).
% 2.82/2.32 tff(12702,plain,
% 2.82/2.32 ($false),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12701, 8279, 12695, 11275, 12694, 11264])).
% 2.82/2.32 tff(12703,plain,((~trans(s199, s33)) | until2p7(s33) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.32 tff(12704,plain,
% 2.82/2.32 (~trans(s199, s33)),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12703, 10864, 8266])).
% 2.82/2.32 tff(12705,assumption,(~until2p7(s40)), introduced(assumption)).
% 2.82/2.32 tff(12706,assumption,(trans(s199, s40)), introduced(assumption)).
% 2.82/2.32 tff(12707,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s40) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s40)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s40) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s40)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12708,plain,
% 2.82/2.32 (((~trans(s199, s40)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s40)) <=> (until2p7(s40) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s40)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12709,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s40)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s40) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s40))))),
% 2.82/2.32 inference(monotonicity,[status(thm)],[12708])).
% 2.82/2.32 tff(12710,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s40)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s40) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s40)))),
% 2.82/2.32 inference(transitivity,[status(thm)],[12709, 12707])).
% 2.82/2.32 tff(12711,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s40)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s40))),
% 2.82/2.32 inference(quant_inst,[status(thm)],[])).
% 2.82/2.32 tff(12712,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s40) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s40))),
% 2.82/2.32 inference(modus_ponens,[status(thm)],[12711, 12710])).
% 2.82/2.32 tff(12713,plain,
% 2.82/2.32 ($false),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12712, 8279, 12706, 11275, 12705, 11264])).
% 2.82/2.32 tff(12714,plain,((~trans(s199, s40)) | until2p7(s40) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.32 tff(12715,plain,
% 2.82/2.32 (~trans(s199, s40)),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12714, 10780, 8266])).
% 2.82/2.32 tff(12716,assumption,(~until2p7(s172)), introduced(assumption)).
% 2.82/2.32 tff(12717,assumption,(trans(s199, s172)), introduced(assumption)).
% 2.82/2.32 tff(12718,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s172) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s172)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s172) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s172)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12719,plain,
% 2.82/2.32 (((~trans(s199, s172)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s172)) <=> (until2p7(s172) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s172)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12720,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s172)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s172) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s172))))),
% 2.82/2.32 inference(monotonicity,[status(thm)],[12719])).
% 2.82/2.32 tff(12721,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s172)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s172) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s172)))),
% 2.82/2.32 inference(transitivity,[status(thm)],[12720, 12718])).
% 2.82/2.32 tff(12722,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s172)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s172))),
% 2.82/2.32 inference(quant_inst,[status(thm)],[])).
% 2.82/2.32 tff(12723,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s172) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s172))),
% 2.82/2.32 inference(modus_ponens,[status(thm)],[12722, 12721])).
% 2.82/2.32 tff(12724,plain,
% 2.82/2.32 ($false),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12723, 8279, 12717, 11275, 12716, 11264])).
% 2.82/2.32 tff(12725,plain,((~trans(s199, s172)) | until2p7(s172) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.32 tff(12726,plain,
% 2.82/2.32 (~trans(s199, s172)),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12725, 8774, 8266])).
% 2.82/2.32 tff(12727,assumption,(~until2p7(s44)), introduced(assumption)).
% 2.82/2.32 tff(12728,assumption,(trans(s199, s44)), introduced(assumption)).
% 2.82/2.32 tff(12729,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s44) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s44)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s44) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s44)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12730,plain,
% 2.82/2.32 (((~trans(s199, s44)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s44)) <=> (until2p7(s44) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s44)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12731,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s44)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s44) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s44))))),
% 2.82/2.32 inference(monotonicity,[status(thm)],[12730])).
% 2.82/2.32 tff(12732,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s44)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s44) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s44)))),
% 2.82/2.32 inference(transitivity,[status(thm)],[12731, 12729])).
% 2.82/2.32 tff(12733,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s44)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s44))),
% 2.82/2.32 inference(quant_inst,[status(thm)],[])).
% 2.82/2.32 tff(12734,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s44) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s44))),
% 2.82/2.32 inference(modus_ponens,[status(thm)],[12733, 12732])).
% 2.82/2.32 tff(12735,plain,
% 2.82/2.32 ($false),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12734, 8279, 12728, 11275, 12727, 11264])).
% 2.82/2.32 tff(12736,plain,((~trans(s199, s44)) | until2p7(s44) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.32 tff(12737,plain,
% 2.82/2.32 (~trans(s199, s44)),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12736, 10732, 8266])).
% 2.82/2.32 tff(12738,assumption,(~until2p7(s20)), introduced(assumption)).
% 2.82/2.32 tff(12739,assumption,(trans(s199, s20)), introduced(assumption)).
% 2.82/2.32 tff(12740,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s20) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s20)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s20) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s20)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12741,plain,
% 2.82/2.32 (((~trans(s199, s20)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s20)) <=> (until2p7(s20) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s20)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12742,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s20)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s20) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s20))))),
% 2.82/2.32 inference(monotonicity,[status(thm)],[12741])).
% 2.82/2.32 tff(12743,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s20)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s20) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s20)))),
% 2.82/2.32 inference(transitivity,[status(thm)],[12742, 12740])).
% 2.82/2.32 tff(12744,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s20)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s20))),
% 2.82/2.32 inference(quant_inst,[status(thm)],[])).
% 2.82/2.32 tff(12745,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s20) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s20))),
% 2.82/2.32 inference(modus_ponens,[status(thm)],[12744, 12743])).
% 2.82/2.32 tff(12746,plain,
% 2.82/2.32 ($false),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12745, 8279, 12739, 11275, 12738, 11264])).
% 2.82/2.32 tff(12747,plain,((~trans(s199, s20)) | until2p7(s20) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.32 tff(12748,plain,
% 2.82/2.32 (~trans(s199, s20)),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12747, 11017, 8266])).
% 2.82/2.32 tff(12749,assumption,(~until2p7(s137)), introduced(assumption)).
% 2.82/2.32 tff(12750,assumption,(trans(s199, s137)), introduced(assumption)).
% 2.82/2.32 tff(12751,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s137) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s137)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s137) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s137)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12752,plain,
% 2.82/2.32 (((~trans(s199, s137)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s137)) <=> (until2p7(s137) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s137)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12753,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s137)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s137) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s137))))),
% 2.82/2.32 inference(monotonicity,[status(thm)],[12752])).
% 2.82/2.32 tff(12754,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s137)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s137) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s137)))),
% 2.82/2.32 inference(transitivity,[status(thm)],[12753, 12751])).
% 2.82/2.32 tff(12755,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s137)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s137))),
% 2.82/2.32 inference(quant_inst,[status(thm)],[])).
% 2.82/2.32 tff(12756,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s137) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s137))),
% 2.82/2.32 inference(modus_ponens,[status(thm)],[12755, 12754])).
% 2.82/2.32 tff(12757,plain,
% 2.82/2.32 ($false),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12756, 8279, 12750, 11275, 12749, 11264])).
% 2.82/2.32 tff(12758,plain,((~trans(s199, s137)) | until2p7(s137) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.32 tff(12759,plain,
% 2.82/2.32 (~trans(s199, s137)),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12758, 9446, 8266])).
% 2.82/2.32 tff(12760,assumption,(~until2p7(s127)), introduced(assumption)).
% 2.82/2.32 tff(12761,assumption,(trans(s199, s127)), introduced(assumption)).
% 2.82/2.32 tff(12762,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s127) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s127)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s127) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s127)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12763,plain,
% 2.82/2.32 (((~trans(s199, s127)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s127)) <=> (until2p7(s127) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s127)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12764,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s127)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s127) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s127))))),
% 2.82/2.32 inference(monotonicity,[status(thm)],[12763])).
% 2.82/2.32 tff(12765,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s127)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s127) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s127)))),
% 2.82/2.32 inference(transitivity,[status(thm)],[12764, 12762])).
% 2.82/2.32 tff(12766,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s127)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s127))),
% 2.82/2.32 inference(quant_inst,[status(thm)],[])).
% 2.82/2.32 tff(12767,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s127) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s127))),
% 2.82/2.32 inference(modus_ponens,[status(thm)],[12766, 12765])).
% 2.82/2.32 tff(12768,plain,
% 2.82/2.32 ($false),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12767, 8279, 12761, 11275, 12760, 11264])).
% 2.82/2.32 tff(12769,plain,((~trans(s199, s127)) | until2p7(s127) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.32 tff(12770,plain,
% 2.82/2.32 (~trans(s199, s127)),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12769, 9566, 8266])).
% 2.82/2.32 tff(12771,assumption,(~until2p7(s173)), introduced(assumption)).
% 2.82/2.32 tff(12772,assumption,(trans(s199, s173)), introduced(assumption)).
% 2.82/2.32 tff(12773,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s173) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s173)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s173) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s173)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12774,plain,
% 2.82/2.32 (((~trans(s199, s173)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s173)) <=> (until2p7(s173) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s173)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12775,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s173)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s173) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s173))))),
% 2.82/2.32 inference(monotonicity,[status(thm)],[12774])).
% 2.82/2.32 tff(12776,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s173)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s173) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s173)))),
% 2.82/2.32 inference(transitivity,[status(thm)],[12775, 12773])).
% 2.82/2.32 tff(12777,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s173)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s173))),
% 2.82/2.32 inference(quant_inst,[status(thm)],[])).
% 2.82/2.32 tff(12778,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s173) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s173))),
% 2.82/2.32 inference(modus_ponens,[status(thm)],[12777, 12776])).
% 2.82/2.32 tff(12779,plain,
% 2.82/2.32 ($false),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12778, 8279, 12772, 11275, 12771, 11264])).
% 2.82/2.32 tff(12780,plain,((~trans(s199, s173)) | until2p7(s173) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.32 tff(12781,plain,
% 2.82/2.32 (~trans(s199, s173)),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12780, 8762, 8266])).
% 2.82/2.32 tff(12782,assumption,(~until2p7(s163)), introduced(assumption)).
% 2.82/2.32 tff(12783,assumption,(trans(s199, s163)), introduced(assumption)).
% 2.82/2.32 tff(12784,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s163) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s163)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s163) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s163)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12785,plain,
% 2.82/2.32 (((~trans(s199, s163)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s163)) <=> (until2p7(s163) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s163)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12786,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s163)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s163) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s163))))),
% 2.82/2.32 inference(monotonicity,[status(thm)],[12785])).
% 2.82/2.32 tff(12787,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s163)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s163) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s163)))),
% 2.82/2.32 inference(transitivity,[status(thm)],[12786, 12784])).
% 2.82/2.32 tff(12788,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s163)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s163))),
% 2.82/2.32 inference(quant_inst,[status(thm)],[])).
% 2.82/2.32 tff(12789,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s163) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s163))),
% 2.82/2.32 inference(modus_ponens,[status(thm)],[12788, 12787])).
% 2.82/2.32 tff(12790,plain,
% 2.82/2.32 ($false),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12789, 8279, 12783, 11275, 12782, 11264])).
% 2.82/2.32 tff(12791,plain,((~trans(s199, s163)) | until2p7(s163) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.32 tff(12792,plain,
% 2.82/2.32 (~trans(s199, s163)),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12791, 9006, 8266])).
% 2.82/2.32 tff(12793,assumption,(~until2p7(s145)), introduced(assumption)).
% 2.82/2.32 tff(12794,assumption,(trans(s199, s145)), introduced(assumption)).
% 2.82/2.32 tff(12795,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s145) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s145)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s145) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s145)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12796,plain,
% 2.82/2.32 (((~trans(s199, s145)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s145)) <=> (until2p7(s145) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s145)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12797,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s145)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s145) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s145))))),
% 2.82/2.32 inference(monotonicity,[status(thm)],[12796])).
% 2.82/2.32 tff(12798,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s145)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s145) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s145)))),
% 2.82/2.32 inference(transitivity,[status(thm)],[12797, 12795])).
% 2.82/2.32 tff(12799,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s145)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s145))),
% 2.82/2.32 inference(quant_inst,[status(thm)],[])).
% 2.82/2.32 tff(12800,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s145) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s145))),
% 2.82/2.32 inference(modus_ponens,[status(thm)],[12799, 12798])).
% 2.82/2.32 tff(12801,plain,
% 2.82/2.32 ($false),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12800, 8279, 12794, 11275, 12793, 11264])).
% 2.82/2.32 tff(12802,plain,((~trans(s199, s145)) | until2p7(s145) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.32 tff(12803,plain,
% 2.82/2.32 (~trans(s199, s145)),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12802, 9350, 8266])).
% 2.82/2.32 tff(12804,assumption,(~until2p7(s55)), introduced(assumption)).
% 2.82/2.32 tff(12805,assumption,(trans(s199, s55)), introduced(assumption)).
% 2.82/2.32 tff(12806,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s55) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s55)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s55) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s55)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12807,plain,
% 2.82/2.32 (((~trans(s199, s55)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s55)) <=> (until2p7(s55) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s55)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12808,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s55)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s55) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s55))))),
% 2.82/2.32 inference(monotonicity,[status(thm)],[12807])).
% 2.82/2.32 tff(12809,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s55)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s55) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s55)))),
% 2.82/2.32 inference(transitivity,[status(thm)],[12808, 12806])).
% 2.82/2.32 tff(12810,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s55)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s55))),
% 2.82/2.32 inference(quant_inst,[status(thm)],[])).
% 2.82/2.32 tff(12811,plain,
% 2.82/2.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s55) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s55))),
% 2.82/2.32 inference(modus_ponens,[status(thm)],[12810, 12809])).
% 2.82/2.32 tff(12812,plain,
% 2.82/2.32 ($false),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12811, 8279, 12805, 11275, 12804, 11264])).
% 2.82/2.32 tff(12813,plain,((~trans(s199, s55)) | until2p7(s55) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.32 tff(12814,plain,
% 2.82/2.32 (~trans(s199, s55)),
% 2.82/2.32 inference(unit_resolution,[status(thm)],[12813, 10600, 8266])).
% 2.82/2.32 tff(12815,assumption,(~until2p7(s10)), introduced(assumption)).
% 2.82/2.32 tff(12816,assumption,(trans(s199, s10)), introduced(assumption)).
% 2.82/2.32 tff(12817,plain,
% 2.82/2.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s10) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s10)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s10) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s10)))),
% 2.82/2.32 inference(rewrite,[status(thm)],[])).
% 2.82/2.32 tff(12818,plain,
% 2.82/2.33 (((~trans(s199, s10)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s10)) <=> (until2p7(s10) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s10)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12819,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s10)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s10) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s10))))),
% 2.82/2.33 inference(monotonicity,[status(thm)],[12818])).
% 2.82/2.33 tff(12820,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s10)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s10) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s10)))),
% 2.82/2.33 inference(transitivity,[status(thm)],[12819, 12817])).
% 2.82/2.33 tff(12821,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s10)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s10))),
% 2.82/2.33 inference(quant_inst,[status(thm)],[])).
% 2.82/2.33 tff(12822,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s10) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s10))),
% 2.82/2.33 inference(modus_ponens,[status(thm)],[12821, 12820])).
% 2.82/2.33 tff(12823,plain,
% 2.82/2.33 ($false),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12822, 8279, 12816, 11275, 12815, 11264])).
% 2.82/2.33 tff(12824,plain,((~trans(s199, s10)) | until2p7(s10) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.33 tff(12825,plain,
% 2.82/2.33 (~trans(s199, s10)),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12824, 11134, 8266])).
% 2.82/2.33 tff(12826,assumption,(~until2p7(s41)), introduced(assumption)).
% 2.82/2.33 tff(12827,assumption,(trans(s199, s41)), introduced(assumption)).
% 2.82/2.33 tff(12828,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s41) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s41)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s41) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s41)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12829,plain,
% 2.82/2.33 (((~trans(s199, s41)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s41)) <=> (until2p7(s41) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s41)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12830,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s41)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s41) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s41))))),
% 2.82/2.33 inference(monotonicity,[status(thm)],[12829])).
% 2.82/2.33 tff(12831,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s41)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s41) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s41)))),
% 2.82/2.33 inference(transitivity,[status(thm)],[12830, 12828])).
% 2.82/2.33 tff(12832,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s41)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s41))),
% 2.82/2.33 inference(quant_inst,[status(thm)],[])).
% 2.82/2.33 tff(12833,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s41) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s41))),
% 2.82/2.33 inference(modus_ponens,[status(thm)],[12832, 12831])).
% 2.82/2.33 tff(12834,plain,
% 2.82/2.33 ($false),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12833, 8279, 12827, 11275, 12826, 11264])).
% 2.82/2.33 tff(12835,plain,((~trans(s199, s41)) | until2p7(s41) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.33 tff(12836,plain,
% 2.82/2.33 (~trans(s199, s41)),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12835, 10768, 8266])).
% 2.82/2.33 tff(12837,assumption,(~until2p7(s169)), introduced(assumption)).
% 2.82/2.33 tff(12838,assumption,(trans(s199, s169)), introduced(assumption)).
% 2.82/2.33 tff(12839,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s169) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s169)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s169) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s169)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12840,plain,
% 2.82/2.33 (((~trans(s199, s169)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s169)) <=> (until2p7(s169) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s169)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12841,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s169)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s169) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s169))))),
% 2.82/2.33 inference(monotonicity,[status(thm)],[12840])).
% 2.82/2.33 tff(12842,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s169)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s169) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s169)))),
% 2.82/2.33 inference(transitivity,[status(thm)],[12841, 12839])).
% 2.82/2.33 tff(12843,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s169)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s169))),
% 2.82/2.33 inference(quant_inst,[status(thm)],[])).
% 2.82/2.33 tff(12844,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s169) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s169))),
% 2.82/2.33 inference(modus_ponens,[status(thm)],[12843, 12842])).
% 2.82/2.33 tff(12845,plain,
% 2.82/2.33 ($false),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12844, 8279, 12838, 11275, 12837, 11264])).
% 2.82/2.33 tff(12846,plain,((~trans(s199, s169)) | until2p7(s169) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.33 tff(12847,plain,
% 2.82/2.33 (~trans(s199, s169)),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12846, 8810, 8266])).
% 2.82/2.33 tff(12848,assumption,(~until2p7(s91)), introduced(assumption)).
% 2.82/2.33 tff(12849,assumption,(trans(s199, s91)), introduced(assumption)).
% 2.82/2.33 tff(12850,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s91) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s91)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s91) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s91)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12851,plain,
% 2.82/2.33 (((~trans(s199, s91)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s91)) <=> (until2p7(s91) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s91)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12852,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s91)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s91) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s91))))),
% 2.82/2.33 inference(monotonicity,[status(thm)],[12851])).
% 2.82/2.33 tff(12853,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s91)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s91) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s91)))),
% 2.82/2.33 inference(transitivity,[status(thm)],[12852, 12850])).
% 2.82/2.33 tff(12854,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s91)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s91))),
% 2.82/2.33 inference(quant_inst,[status(thm)],[])).
% 2.82/2.33 tff(12855,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s91) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s91))),
% 2.82/2.33 inference(modus_ponens,[status(thm)],[12854, 12853])).
% 2.82/2.33 tff(12856,plain,
% 2.82/2.33 ($false),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12855, 8279, 12849, 11275, 12848, 11264])).
% 2.82/2.33 tff(12857,plain,((~trans(s199, s91)) | until2p7(s91) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.33 tff(12858,plain,
% 2.82/2.33 (~trans(s199, s91)),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12857, 10134, 8266])).
% 2.82/2.33 tff(12859,assumption,(~until2p7(s106)), introduced(assumption)).
% 2.82/2.33 tff(12860,assumption,(trans(s199, s106)), introduced(assumption)).
% 2.82/2.33 tff(12861,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s106) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s106)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s106) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s106)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12862,plain,
% 2.82/2.33 (((~trans(s199, s106)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s106)) <=> (until2p7(s106) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s106)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12863,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s106)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s106) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s106))))),
% 2.82/2.33 inference(monotonicity,[status(thm)],[12862])).
% 2.82/2.33 tff(12864,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s106)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s106) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s106)))),
% 2.82/2.33 inference(transitivity,[status(thm)],[12863, 12861])).
% 2.82/2.33 tff(12865,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s106)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s106))),
% 2.82/2.33 inference(quant_inst,[status(thm)],[])).
% 2.82/2.33 tff(12866,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s106) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s106))),
% 2.82/2.33 inference(modus_ponens,[status(thm)],[12865, 12864])).
% 2.82/2.33 tff(12867,plain,
% 2.82/2.33 ($false),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12866, 8279, 12860, 11275, 12859, 11264])).
% 2.82/2.33 tff(12868,plain,((~trans(s199, s106)) | until2p7(s106) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.33 tff(12869,plain,
% 2.82/2.33 (~trans(s199, s106)),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12868, 9818, 8266])).
% 2.82/2.33 tff(12870,assumption,(~until2p7(s115)), introduced(assumption)).
% 2.82/2.33 tff(12871,assumption,(trans(s199, s115)), introduced(assumption)).
% 2.82/2.33 tff(12872,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s115) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s115)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s115) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s115)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12873,plain,
% 2.82/2.33 (((~trans(s199, s115)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s115)) <=> (until2p7(s115) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s115)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12874,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s115)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s115) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s115))))),
% 2.82/2.33 inference(monotonicity,[status(thm)],[12873])).
% 2.82/2.33 tff(12875,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s115)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s115) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s115)))),
% 2.82/2.33 inference(transitivity,[status(thm)],[12874, 12872])).
% 2.82/2.33 tff(12876,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s115)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s115))),
% 2.82/2.33 inference(quant_inst,[status(thm)],[])).
% 2.82/2.33 tff(12877,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s115) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s115))),
% 2.82/2.33 inference(modus_ponens,[status(thm)],[12876, 12875])).
% 2.82/2.33 tff(12878,plain,
% 2.82/2.33 ($false),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12877, 8279, 12871, 11275, 12870, 11264])).
% 2.82/2.33 tff(12879,plain,((~trans(s199, s115)) | until2p7(s115) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.33 tff(12880,plain,
% 2.82/2.33 (~trans(s199, s115)),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12879, 9710, 8266])).
% 2.82/2.33 tff(12881,assumption,(~until2p7(s47)), introduced(assumption)).
% 2.82/2.33 tff(12882,assumption,(trans(s199, s47)), introduced(assumption)).
% 2.82/2.33 tff(12883,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s47) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s47)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s47) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s47)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12884,plain,
% 2.82/2.33 (((~trans(s199, s47)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s47)) <=> (until2p7(s47) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s47)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12885,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s47)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s47) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s47))))),
% 2.82/2.33 inference(monotonicity,[status(thm)],[12884])).
% 2.82/2.33 tff(12886,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s47)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s47) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s47)))),
% 2.82/2.33 inference(transitivity,[status(thm)],[12885, 12883])).
% 2.82/2.33 tff(12887,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s47)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s47))),
% 2.82/2.33 inference(quant_inst,[status(thm)],[])).
% 2.82/2.33 tff(12888,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s47) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s47))),
% 2.82/2.33 inference(modus_ponens,[status(thm)],[12887, 12886])).
% 2.82/2.33 tff(12889,plain,
% 2.82/2.33 ($false),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12888, 8279, 12882, 11275, 12881, 11264])).
% 2.82/2.33 tff(12890,plain,((~trans(s199, s47)) | until2p7(s47) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.33 tff(12891,plain,
% 2.82/2.33 (~trans(s199, s47)),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12890, 10696, 8266])).
% 2.82/2.33 tff(12892,assumption,(~until2p7(s133)), introduced(assumption)).
% 2.82/2.33 tff(12893,assumption,(trans(s199, s133)), introduced(assumption)).
% 2.82/2.33 tff(12894,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s133) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s133)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s133) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s133)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12895,plain,
% 2.82/2.33 (((~trans(s199, s133)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s133)) <=> (until2p7(s133) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s133)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12896,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s133)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s133) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s133))))),
% 2.82/2.33 inference(monotonicity,[status(thm)],[12895])).
% 2.82/2.33 tff(12897,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s133)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s133) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s133)))),
% 2.82/2.33 inference(transitivity,[status(thm)],[12896, 12894])).
% 2.82/2.33 tff(12898,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s133)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s133))),
% 2.82/2.33 inference(quant_inst,[status(thm)],[])).
% 2.82/2.33 tff(12899,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s133) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s133))),
% 2.82/2.33 inference(modus_ponens,[status(thm)],[12898, 12897])).
% 2.82/2.33 tff(12900,plain,
% 2.82/2.33 ($false),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12899, 8279, 12893, 11275, 12892, 11264])).
% 2.82/2.33 tff(12901,plain,((~trans(s199, s133)) | until2p7(s133) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.33 tff(12902,plain,
% 2.82/2.33 (~trans(s199, s133)),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12901, 9494, 8266])).
% 2.82/2.33 tff(12903,assumption,(~until2p7(s28)), introduced(assumption)).
% 2.82/2.33 tff(12904,assumption,(trans(s199, s28)), introduced(assumption)).
% 2.82/2.33 tff(12905,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s28) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s28)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s28) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s28)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12906,plain,
% 2.82/2.33 (((~trans(s199, s28)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s28)) <=> (until2p7(s28) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s28)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12907,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s28)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s28) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s28))))),
% 2.82/2.33 inference(monotonicity,[status(thm)],[12906])).
% 2.82/2.33 tff(12908,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s28)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s28) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s28)))),
% 2.82/2.33 inference(transitivity,[status(thm)],[12907, 12905])).
% 2.82/2.33 tff(12909,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s28)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s28))),
% 2.82/2.33 inference(quant_inst,[status(thm)],[])).
% 2.82/2.33 tff(12910,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s28) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s28))),
% 2.82/2.33 inference(modus_ponens,[status(thm)],[12909, 12908])).
% 2.82/2.33 tff(12911,plain,
% 2.82/2.33 ($false),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12910, 8279, 12904, 11275, 12903, 11264])).
% 2.82/2.33 tff(12912,plain,((~trans(s199, s28)) | until2p7(s28) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.33 tff(12913,plain,
% 2.82/2.33 (~trans(s199, s28)),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12912, 10920, 8266])).
% 2.82/2.33 tff(12914,assumption,(~until2p7(s176)), introduced(assumption)).
% 2.82/2.33 tff(12915,assumption,(trans(s199, s176)), introduced(assumption)).
% 2.82/2.33 tff(12916,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s176) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s176)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s176) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s176)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12917,plain,
% 2.82/2.33 (((~trans(s199, s176)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s176)) <=> (until2p7(s176) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s176)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12918,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s176)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s176) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s176))))),
% 2.82/2.33 inference(monotonicity,[status(thm)],[12917])).
% 2.82/2.33 tff(12919,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s176)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s176) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s176)))),
% 2.82/2.33 inference(transitivity,[status(thm)],[12918, 12916])).
% 2.82/2.33 tff(12920,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s176)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s176))),
% 2.82/2.33 inference(quant_inst,[status(thm)],[])).
% 2.82/2.33 tff(12921,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s176) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s176))),
% 2.82/2.33 inference(modus_ponens,[status(thm)],[12920, 12919])).
% 2.82/2.33 tff(12922,plain,
% 2.82/2.33 ($false),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12921, 8279, 12915, 11275, 12914, 11264])).
% 2.82/2.33 tff(12923,plain,((~trans(s199, s176)) | until2p7(s176) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.33 tff(12924,plain,
% 2.82/2.33 (~trans(s199, s176)),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12923, 8728, 8266])).
% 2.82/2.33 tff(12925,assumption,(~until2p7(s71)), introduced(assumption)).
% 2.82/2.33 tff(12926,assumption,(trans(s199, s71)), introduced(assumption)).
% 2.82/2.33 tff(12927,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s71) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s71)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s71) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s71)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12928,plain,
% 2.82/2.33 (((~trans(s199, s71)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s71)) <=> (until2p7(s71) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s71)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12929,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s71)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s71) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s71))))),
% 2.82/2.33 inference(monotonicity,[status(thm)],[12928])).
% 2.82/2.33 tff(12930,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s71)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s71) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s71)))),
% 2.82/2.33 inference(transitivity,[status(thm)],[12929, 12927])).
% 2.82/2.33 tff(12931,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s71)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s71))),
% 2.82/2.33 inference(quant_inst,[status(thm)],[])).
% 2.82/2.33 tff(12932,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s71) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s71))),
% 2.82/2.33 inference(modus_ponens,[status(thm)],[12931, 12930])).
% 2.82/2.33 tff(12933,plain,
% 2.82/2.33 ($false),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12932, 8279, 12926, 11275, 12925, 11264])).
% 2.82/2.33 tff(12934,plain,((~trans(s199, s71)) | until2p7(s71) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.33 tff(12935,plain,
% 2.82/2.33 (~trans(s199, s71)),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12934, 10408, 8266])).
% 2.82/2.33 tff(12936,assumption,(~until2p7(s89)), introduced(assumption)).
% 2.82/2.33 tff(12937,assumption,(trans(s199, s89)), introduced(assumption)).
% 2.82/2.33 tff(12938,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s89) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s89)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s89) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s89)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12939,plain,
% 2.82/2.33 (((~trans(s199, s89)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s89)) <=> (until2p7(s89) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s89)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12940,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s89)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s89) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s89))))),
% 2.82/2.33 inference(monotonicity,[status(thm)],[12939])).
% 2.82/2.33 tff(12941,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s89)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s89) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s89)))),
% 2.82/2.33 inference(transitivity,[status(thm)],[12940, 12938])).
% 2.82/2.33 tff(12942,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s89)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s89))),
% 2.82/2.33 inference(quant_inst,[status(thm)],[])).
% 2.82/2.33 tff(12943,plain,
% 2.82/2.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s89) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s89))),
% 2.82/2.33 inference(modus_ponens,[status(thm)],[12942, 12941])).
% 2.82/2.33 tff(12944,plain,
% 2.82/2.33 ($false),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12943, 8279, 12937, 11275, 12936, 11264])).
% 2.82/2.33 tff(12945,plain,((~trans(s199, s89)) | until2p7(s89) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.33 tff(12946,plain,
% 2.82/2.33 (~trans(s199, s89)),
% 2.82/2.33 inference(unit_resolution,[status(thm)],[12945, 10158, 8266])).
% 2.82/2.33 tff(12947,assumption,(~until2p7(s53)), introduced(assumption)).
% 2.82/2.33 tff(12948,assumption,(trans(s199, s53)), introduced(assumption)).
% 2.82/2.33 tff(12949,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s53) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s53)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s53) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s53)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12950,plain,
% 2.82/2.33 (((~trans(s199, s53)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s53)) <=> (until2p7(s53) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s53)))),
% 2.82/2.33 inference(rewrite,[status(thm)],[])).
% 2.82/2.33 tff(12951,plain,
% 2.82/2.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s53)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s53) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s53))))),
% 2.82/2.33 inference(monotonicity,[status(thm)],[12950])).
% 2.82/2.34 tff(12952,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s53)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s53) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s53)))),
% 2.82/2.34 inference(transitivity,[status(thm)],[12951, 12949])).
% 2.82/2.34 tff(12953,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s53)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s53))),
% 2.82/2.34 inference(quant_inst,[status(thm)],[])).
% 2.82/2.34 tff(12954,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s53) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s53))),
% 2.82/2.34 inference(modus_ponens,[status(thm)],[12953, 12952])).
% 2.82/2.34 tff(12955,plain,
% 2.82/2.34 ($false),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[12954, 8279, 12948, 11275, 12947, 11264])).
% 2.82/2.34 tff(12956,plain,((~trans(s199, s53)) | until2p7(s53) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.34 tff(12957,plain,
% 2.82/2.34 (~trans(s199, s53)),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[12956, 10624, 8266])).
% 2.82/2.34 tff(12958,assumption,(~until2p7(s167)), introduced(assumption)).
% 2.82/2.34 tff(12959,assumption,(trans(s199, s167)), introduced(assumption)).
% 2.82/2.34 tff(12960,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s167) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s167)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s167) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s167)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(12961,plain,
% 2.82/2.34 (((~trans(s199, s167)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s167)) <=> (until2p7(s167) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s167)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(12962,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s167)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s167) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s167))))),
% 2.82/2.34 inference(monotonicity,[status(thm)],[12961])).
% 2.82/2.34 tff(12963,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s167)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s167) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s167)))),
% 2.82/2.34 inference(transitivity,[status(thm)],[12962, 12960])).
% 2.82/2.34 tff(12964,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s167)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s167))),
% 2.82/2.34 inference(quant_inst,[status(thm)],[])).
% 2.82/2.34 tff(12965,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s167) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s167))),
% 2.82/2.34 inference(modus_ponens,[status(thm)],[12964, 12963])).
% 2.82/2.34 tff(12966,plain,
% 2.82/2.34 ($false),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[12965, 8279, 12959, 11275, 12958, 11264])).
% 2.82/2.34 tff(12967,plain,((~trans(s199, s167)) | until2p7(s167) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.34 tff(12968,plain,
% 2.82/2.34 (~trans(s199, s167)),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[12967, 8868, 8266])).
% 2.82/2.34 tff(12969,assumption,(~until2p7(s124)), introduced(assumption)).
% 2.82/2.34 tff(12970,assumption,(trans(s199, s124)), introduced(assumption)).
% 2.82/2.34 tff(12971,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s124) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s124)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s124) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s124)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(12972,plain,
% 2.82/2.34 (((~trans(s199, s124)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s124)) <=> (until2p7(s124) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s124)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(12973,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s124)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s124) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s124))))),
% 2.82/2.34 inference(monotonicity,[status(thm)],[12972])).
% 2.82/2.34 tff(12974,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s124)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s124) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s124)))),
% 2.82/2.34 inference(transitivity,[status(thm)],[12973, 12971])).
% 2.82/2.34 tff(12975,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s124)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s124))),
% 2.82/2.34 inference(quant_inst,[status(thm)],[])).
% 2.82/2.34 tff(12976,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s124) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s124))),
% 2.82/2.34 inference(modus_ponens,[status(thm)],[12975, 12974])).
% 2.82/2.34 tff(12977,plain,
% 2.82/2.34 ($false),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[12976, 8279, 12970, 11275, 12969, 11264])).
% 2.82/2.34 tff(12978,plain,((~trans(s199, s124)) | until2p7(s124) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.34 tff(12979,plain,
% 2.82/2.34 (~trans(s199, s124)),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[12978, 9602, 8266])).
% 2.82/2.34 tff(12980,assumption,(~until2p7(s24)), introduced(assumption)).
% 2.82/2.34 tff(12981,assumption,(trans(s199, s24)), introduced(assumption)).
% 2.82/2.34 tff(12982,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s24) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s24)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s24) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s24)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(12983,plain,
% 2.82/2.34 (((~trans(s199, s24)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s24)) <=> (until2p7(s24) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s24)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(12984,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s24)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s24) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s24))))),
% 2.82/2.34 inference(monotonicity,[status(thm)],[12983])).
% 2.82/2.34 tff(12985,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s24)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s24) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s24)))),
% 2.82/2.34 inference(transitivity,[status(thm)],[12984, 12982])).
% 2.82/2.34 tff(12986,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s24)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s24))),
% 2.82/2.34 inference(quant_inst,[status(thm)],[])).
% 2.82/2.34 tff(12987,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s24) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s24))),
% 2.82/2.34 inference(modus_ponens,[status(thm)],[12986, 12985])).
% 2.82/2.34 tff(12988,plain,
% 2.82/2.34 ($false),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[12987, 8279, 12981, 11275, 12980, 11264])).
% 2.82/2.34 tff(12989,plain,((~trans(s199, s24)) | until2p7(s24) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.34 tff(12990,plain,
% 2.82/2.34 (~trans(s199, s24)),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[12989, 10969, 8266])).
% 2.82/2.34 tff(12991,assumption,(~until2p7(s25)), introduced(assumption)).
% 2.82/2.34 tff(12992,assumption,(trans(s199, s25)), introduced(assumption)).
% 2.82/2.34 tff(12993,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s25) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s25)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s25) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s25)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(12994,plain,
% 2.82/2.34 (((~trans(s199, s25)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s25)) <=> (until2p7(s25) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s25)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(12995,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s25)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s25) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s25))))),
% 2.82/2.34 inference(monotonicity,[status(thm)],[12994])).
% 2.82/2.34 tff(12996,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s25)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s25) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s25)))),
% 2.82/2.34 inference(transitivity,[status(thm)],[12995, 12993])).
% 2.82/2.34 tff(12997,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s25)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s25))),
% 2.82/2.34 inference(quant_inst,[status(thm)],[])).
% 2.82/2.34 tff(12998,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s25) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s25))),
% 2.82/2.34 inference(modus_ponens,[status(thm)],[12997, 12996])).
% 2.82/2.34 tff(12999,plain,
% 2.82/2.34 ($false),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[12998, 8279, 12992, 11275, 12991, 11264])).
% 2.82/2.34 tff(13000,plain,((~trans(s199, s25)) | until2p7(s25) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.34 tff(13001,plain,
% 2.82/2.34 (~trans(s199, s25)),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[13000, 10957, 8266])).
% 2.82/2.34 tff(13002,assumption,(~until2p7(s62)), introduced(assumption)).
% 2.82/2.34 tff(13003,assumption,(trans(s199, s62)), introduced(assumption)).
% 2.82/2.34 tff(13004,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s62) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s62)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s62) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s62)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(13005,plain,
% 2.82/2.34 (((~trans(s199, s62)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s62)) <=> (until2p7(s62) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s62)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(13006,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s62)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s62) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s62))))),
% 2.82/2.34 inference(monotonicity,[status(thm)],[13005])).
% 2.82/2.34 tff(13007,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s62)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s62) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s62)))),
% 2.82/2.34 inference(transitivity,[status(thm)],[13006, 13004])).
% 2.82/2.34 tff(13008,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s62)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s62))),
% 2.82/2.34 inference(quant_inst,[status(thm)],[])).
% 2.82/2.34 tff(13009,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s62) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s62))),
% 2.82/2.34 inference(modus_ponens,[status(thm)],[13008, 13007])).
% 2.82/2.34 tff(13010,plain,
% 2.82/2.34 ($false),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[13009, 8279, 13003, 11275, 13002, 11264])).
% 2.82/2.34 tff(13011,plain,((~trans(s199, s62)) | until2p7(s62) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.34 tff(13012,plain,
% 2.82/2.34 (~trans(s199, s62)),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[13011, 10516, 8266])).
% 2.82/2.34 tff(13013,assumption,(~until2p7(s166)), introduced(assumption)).
% 2.82/2.34 tff(13014,assumption,(trans(s199, s166)), introduced(assumption)).
% 2.82/2.34 tff(13015,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s166) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s166)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s166) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s166)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(13016,plain,
% 2.82/2.34 (((~trans(s199, s166)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s166)) <=> (until2p7(s166) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s166)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(13017,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s166)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s166) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s166))))),
% 2.82/2.34 inference(monotonicity,[status(thm)],[13016])).
% 2.82/2.34 tff(13018,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s166)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s166) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s166)))),
% 2.82/2.34 inference(transitivity,[status(thm)],[13017, 13015])).
% 2.82/2.34 tff(13019,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s166)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s166))),
% 2.82/2.34 inference(quant_inst,[status(thm)],[])).
% 2.82/2.34 tff(13020,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s166) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s166))),
% 2.82/2.34 inference(modus_ponens,[status(thm)],[13019, 13018])).
% 2.82/2.34 tff(13021,plain,
% 2.82/2.34 ($false),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[13020, 8279, 13014, 11275, 13013, 11264])).
% 2.82/2.34 tff(13022,plain,((~trans(s199, s166)) | until2p7(s166) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.34 tff(13023,plain,
% 2.82/2.34 (~trans(s199, s166)),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[13022, 8913, 8266])).
% 2.82/2.34 tff(13024,assumption,(~until2p7(s17)), introduced(assumption)).
% 2.82/2.34 tff(13025,assumption,(trans(s199, s17)), introduced(assumption)).
% 2.82/2.34 tff(13026,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s17) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s17)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s17) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s17)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(13027,plain,
% 2.82/2.34 (((~trans(s199, s17)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s17)) <=> (until2p7(s17) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s17)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(13028,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s17)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s17) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s17))))),
% 2.82/2.34 inference(monotonicity,[status(thm)],[13027])).
% 2.82/2.34 tff(13029,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s17)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s17) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s17)))),
% 2.82/2.34 inference(transitivity,[status(thm)],[13028, 13026])).
% 2.82/2.34 tff(13030,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s17)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s17))),
% 2.82/2.34 inference(quant_inst,[status(thm)],[])).
% 2.82/2.34 tff(13031,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s17) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s17))),
% 2.82/2.34 inference(modus_ponens,[status(thm)],[13030, 13029])).
% 2.82/2.34 tff(13032,plain,
% 2.82/2.34 ($false),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[13031, 8279, 13025, 11275, 13024, 11264])).
% 2.82/2.34 tff(13033,plain,((~trans(s199, s17)) | until2p7(s17) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.34 tff(13034,plain,
% 2.82/2.34 (~trans(s199, s17)),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[13033, 11053, 8266])).
% 2.82/2.34 tff(13035,assumption,(~until2p7(s13)), introduced(assumption)).
% 2.82/2.34 tff(13036,assumption,(trans(s199, s13)), introduced(assumption)).
% 2.82/2.34 tff(13037,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s13) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s13)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s13) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s13)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(13038,plain,
% 2.82/2.34 (((~trans(s199, s13)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s13)) <=> (until2p7(s13) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s13)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(13039,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s13)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s13) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s13))))),
% 2.82/2.34 inference(monotonicity,[status(thm)],[13038])).
% 2.82/2.34 tff(13040,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s13)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s13) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s13)))),
% 2.82/2.34 inference(transitivity,[status(thm)],[13039, 13037])).
% 2.82/2.34 tff(13041,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s13)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s13))),
% 2.82/2.34 inference(quant_inst,[status(thm)],[])).
% 2.82/2.34 tff(13042,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s13) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s13))),
% 2.82/2.34 inference(modus_ponens,[status(thm)],[13041, 13040])).
% 2.82/2.34 tff(13043,plain,
% 2.82/2.34 ($false),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[13042, 8279, 13036, 11275, 13035, 11264])).
% 2.82/2.34 tff(13044,plain,((~trans(s199, s13)) | until2p7(s13) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.34 tff(13045,plain,
% 2.82/2.34 (~trans(s199, s13)),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[13044, 11099, 8266])).
% 2.82/2.34 tff(13046,assumption,(~until2p7(s73)), introduced(assumption)).
% 2.82/2.34 tff(13047,assumption,(trans(s199, s73)), introduced(assumption)).
% 2.82/2.34 tff(13048,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s73) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s73)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s73) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s73)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(13049,plain,
% 2.82/2.34 (((~trans(s199, s73)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s73)) <=> (until2p7(s73) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s73)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(13050,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s73)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s73) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s73))))),
% 2.82/2.34 inference(monotonicity,[status(thm)],[13049])).
% 2.82/2.34 tff(13051,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s73)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s73) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s73)))),
% 2.82/2.34 inference(transitivity,[status(thm)],[13050, 13048])).
% 2.82/2.34 tff(13052,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s73)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s73))),
% 2.82/2.34 inference(quant_inst,[status(thm)],[])).
% 2.82/2.34 tff(13053,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s73) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s73))),
% 2.82/2.34 inference(modus_ponens,[status(thm)],[13052, 13051])).
% 2.82/2.34 tff(13054,plain,
% 2.82/2.34 ($false),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[13053, 8279, 13047, 11275, 13046, 11264])).
% 2.82/2.34 tff(13055,plain,((~trans(s199, s73)) | until2p7(s73) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.34 tff(13056,plain,
% 2.82/2.34 (~trans(s199, s73)),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[13055, 10384, 8266])).
% 2.82/2.34 tff(13057,assumption,(~until2p7(s92)), introduced(assumption)).
% 2.82/2.34 tff(13058,assumption,(trans(s199, s92)), introduced(assumption)).
% 2.82/2.34 tff(13059,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s92) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s92)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s92) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s92)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(13060,plain,
% 2.82/2.34 (((~trans(s199, s92)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s92)) <=> (until2p7(s92) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s92)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(13061,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s92)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s92) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s92))))),
% 2.82/2.34 inference(monotonicity,[status(thm)],[13060])).
% 2.82/2.34 tff(13062,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s92)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s92) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s92)))),
% 2.82/2.34 inference(transitivity,[status(thm)],[13061, 13059])).
% 2.82/2.34 tff(13063,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s92)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s92))),
% 2.82/2.34 inference(quant_inst,[status(thm)],[])).
% 2.82/2.34 tff(13064,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s92) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s92))),
% 2.82/2.34 inference(modus_ponens,[status(thm)],[13063, 13062])).
% 2.82/2.34 tff(13065,plain,
% 2.82/2.34 ($false),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[13064, 8279, 13058, 11275, 13057, 11264])).
% 2.82/2.34 tff(13066,plain,((~trans(s199, s92)) | until2p7(s92) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.34 tff(13067,plain,
% 2.82/2.34 (~trans(s199, s92)),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[13066, 10122, 8266])).
% 2.82/2.34 tff(13068,assumption,(~until2p7(s49)), introduced(assumption)).
% 2.82/2.34 tff(13069,assumption,(trans(s199, s49)), introduced(assumption)).
% 2.82/2.34 tff(13070,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s49) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s49)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s49) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s49)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(13071,plain,
% 2.82/2.34 (((~trans(s199, s49)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s49)) <=> (until2p7(s49) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s49)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(13072,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s49)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s49) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s49))))),
% 2.82/2.34 inference(monotonicity,[status(thm)],[13071])).
% 2.82/2.34 tff(13073,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s49)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s49) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s49)))),
% 2.82/2.34 inference(transitivity,[status(thm)],[13072, 13070])).
% 2.82/2.34 tff(13074,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s49)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s49))),
% 2.82/2.34 inference(quant_inst,[status(thm)],[])).
% 2.82/2.34 tff(13075,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s49) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s49))),
% 2.82/2.34 inference(modus_ponens,[status(thm)],[13074, 13073])).
% 2.82/2.34 tff(13076,plain,
% 2.82/2.34 ($false),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[13075, 8279, 13069, 11275, 13068, 11264])).
% 2.82/2.34 tff(13077,plain,((~trans(s199, s49)) | until2p7(s49) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.34 tff(13078,plain,
% 2.82/2.34 (~trans(s199, s49)),
% 2.82/2.34 inference(unit_resolution,[status(thm)],[13077, 10672, 8266])).
% 2.82/2.34 tff(13079,assumption,(~until2p7(s168)), introduced(assumption)).
% 2.82/2.34 tff(13080,assumption,(trans(s199, s168)), introduced(assumption)).
% 2.82/2.34 tff(13081,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s168) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s168)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s168) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s168)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(13082,plain,
% 2.82/2.34 (((~trans(s199, s168)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s168)) <=> (until2p7(s168) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s168)))),
% 2.82/2.34 inference(rewrite,[status(thm)],[])).
% 2.82/2.34 tff(13083,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s168)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s168) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s168))))),
% 2.82/2.34 inference(monotonicity,[status(thm)],[13082])).
% 2.82/2.34 tff(13084,plain,
% 2.82/2.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s168)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s168) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s168)))),
% 2.82/2.34 inference(transitivity,[status(thm)],[13083, 13081])).
% 2.82/2.34 tff(13085,plain,
% 2.82/2.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s168)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s168))),
% 2.82/2.35 inference(quant_inst,[status(thm)],[])).
% 2.82/2.35 tff(13086,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s168) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s168))),
% 2.82/2.35 inference(modus_ponens,[status(thm)],[13085, 13084])).
% 2.82/2.35 tff(13087,plain,
% 2.82/2.35 ($false),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13086, 8279, 13080, 11275, 13079, 11264])).
% 2.82/2.35 tff(13088,plain,((~trans(s199, s168)) | until2p7(s168) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.35 tff(13089,plain,
% 2.82/2.35 (~trans(s199, s168)),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13088, 8855, 8266])).
% 2.82/2.35 tff(13090,assumption,(~until2p7(s78)), introduced(assumption)).
% 2.82/2.35 tff(13091,assumption,(trans(s199, s78)), introduced(assumption)).
% 2.82/2.35 tff(13092,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s78) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s78)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s78) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s78)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13093,plain,
% 2.82/2.35 (((~trans(s199, s78)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s78)) <=> (until2p7(s78) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s78)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13094,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s78)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s78) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s78))))),
% 2.82/2.35 inference(monotonicity,[status(thm)],[13093])).
% 2.82/2.35 tff(13095,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s78)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s78) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s78)))),
% 2.82/2.35 inference(transitivity,[status(thm)],[13094, 13092])).
% 2.82/2.35 tff(13096,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s78)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s78))),
% 2.82/2.35 inference(quant_inst,[status(thm)],[])).
% 2.82/2.35 tff(13097,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s78) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s78))),
% 2.82/2.35 inference(modus_ponens,[status(thm)],[13096, 13095])).
% 2.82/2.35 tff(13098,plain,
% 2.82/2.35 ($false),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13097, 8279, 13091, 11275, 13090, 11264])).
% 2.82/2.35 tff(13099,plain,((~trans(s199, s78)) | until2p7(s78) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.35 tff(13100,plain,
% 2.82/2.35 (~trans(s199, s78)),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13099, 10324, 8266])).
% 2.82/2.35 tff(13101,assumption,(~until2p7(s152)), introduced(assumption)).
% 2.82/2.35 tff(13102,assumption,(trans(s199, s152)), introduced(assumption)).
% 2.82/2.35 tff(13103,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s152) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s152)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s152) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s152)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13104,plain,
% 2.82/2.35 (((~trans(s199, s152)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s152)) <=> (until2p7(s152) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s152)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13105,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s152)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s152) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s152))))),
% 2.82/2.35 inference(monotonicity,[status(thm)],[13104])).
% 2.82/2.35 tff(13106,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s152)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s152) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s152)))),
% 2.82/2.35 inference(transitivity,[status(thm)],[13105, 13103])).
% 2.82/2.35 tff(13107,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s152)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s152))),
% 2.82/2.35 inference(quant_inst,[status(thm)],[])).
% 2.82/2.35 tff(13108,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s152) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s152))),
% 2.82/2.35 inference(modus_ponens,[status(thm)],[13107, 13106])).
% 2.82/2.35 tff(13109,plain,
% 2.82/2.35 ($false),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13108, 8279, 13102, 11275, 13101, 11264])).
% 2.82/2.35 tff(13110,plain,((~trans(s199, s152)) | until2p7(s152) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.35 tff(13111,plain,
% 2.82/2.35 (~trans(s199, s152)),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13110, 9231, 8266])).
% 2.82/2.35 tff(13112,assumption,(~until2p7(s103)), introduced(assumption)).
% 2.82/2.35 tff(13113,assumption,(trans(s199, s103)), introduced(assumption)).
% 2.82/2.35 tff(13114,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s103) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s103)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s103) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s103)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13115,plain,
% 2.82/2.35 (((~trans(s199, s103)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s103)) <=> (until2p7(s103) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s103)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13116,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s103)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s103) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s103))))),
% 2.82/2.35 inference(monotonicity,[status(thm)],[13115])).
% 2.82/2.35 tff(13117,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s103)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s103) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s103)))),
% 2.82/2.35 inference(transitivity,[status(thm)],[13116, 13114])).
% 2.82/2.35 tff(13118,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s103)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s103))),
% 2.82/2.35 inference(quant_inst,[status(thm)],[])).
% 2.82/2.35 tff(13119,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s103) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s103))),
% 2.82/2.35 inference(modus_ponens,[status(thm)],[13118, 13117])).
% 2.82/2.35 tff(13120,plain,
% 2.82/2.35 ($false),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13119, 8279, 13113, 11275, 13112, 11264])).
% 2.82/2.35 tff(13121,plain,((~trans(s199, s103)) | until2p7(s103) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.35 tff(13122,plain,
% 2.82/2.35 (~trans(s199, s103)),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13121, 9854, 8266])).
% 2.82/2.35 tff(13123,assumption,(~until2p7(s111)), introduced(assumption)).
% 2.82/2.35 tff(13124,assumption,(trans(s199, s111)), introduced(assumption)).
% 2.82/2.35 tff(13125,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s111) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s111)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s111) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s111)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13126,plain,
% 2.82/2.35 (((~trans(s199, s111)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s111)) <=> (until2p7(s111) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s111)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13127,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s111)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s111) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s111))))),
% 2.82/2.35 inference(monotonicity,[status(thm)],[13126])).
% 2.82/2.35 tff(13128,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s111)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s111) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s111)))),
% 2.82/2.35 inference(transitivity,[status(thm)],[13127, 13125])).
% 2.82/2.35 tff(13129,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s111)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s111))),
% 2.82/2.35 inference(quant_inst,[status(thm)],[])).
% 2.82/2.35 tff(13130,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s111) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s111))),
% 2.82/2.35 inference(modus_ponens,[status(thm)],[13129, 13128])).
% 2.82/2.35 tff(13131,plain,
% 2.82/2.35 ($false),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13130, 8279, 13124, 11275, 13123, 11264])).
% 2.82/2.35 tff(13132,plain,((~trans(s199, s111)) | until2p7(s111) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.35 tff(13133,plain,
% 2.82/2.35 (~trans(s199, s111)),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13132, 9758, 8266])).
% 2.82/2.35 tff(13134,assumption,(~until2p7(s58)), introduced(assumption)).
% 2.82/2.35 tff(13135,assumption,(trans(s199, s58)), introduced(assumption)).
% 2.82/2.35 tff(13136,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s58) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s58)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s58) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s58)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13137,plain,
% 2.82/2.35 (((~trans(s199, s58)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s58)) <=> (until2p7(s58) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s58)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13138,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s58)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s58) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s58))))),
% 2.82/2.35 inference(monotonicity,[status(thm)],[13137])).
% 2.82/2.35 tff(13139,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s58)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s58) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s58)))),
% 2.82/2.35 inference(transitivity,[status(thm)],[13138, 13136])).
% 2.82/2.35 tff(13140,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s58)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s58))),
% 2.82/2.35 inference(quant_inst,[status(thm)],[])).
% 2.82/2.35 tff(13141,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s58) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s58))),
% 2.82/2.35 inference(modus_ponens,[status(thm)],[13140, 13139])).
% 2.82/2.35 tff(13142,plain,
% 2.82/2.35 ($false),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13141, 8279, 13135, 11275, 13134, 11264])).
% 2.82/2.35 tff(13143,plain,((~trans(s199, s58)) | until2p7(s58) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.35 tff(13144,plain,
% 2.82/2.35 (~trans(s199, s58)),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13143, 10564, 8266])).
% 2.82/2.35 tff(13145,assumption,(~until2p7(s18)), introduced(assumption)).
% 2.82/2.35 tff(13146,assumption,(trans(s199, s18)), introduced(assumption)).
% 2.82/2.35 tff(13147,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s18) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s18)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s18) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s18)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13148,plain,
% 2.82/2.35 (((~trans(s199, s18)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s18)) <=> (until2p7(s18) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s18)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13149,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s18)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s18) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s18))))),
% 2.82/2.35 inference(monotonicity,[status(thm)],[13148])).
% 2.82/2.35 tff(13150,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s18)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s18) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s18)))),
% 2.82/2.35 inference(transitivity,[status(thm)],[13149, 13147])).
% 2.82/2.35 tff(13151,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s18)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s18))),
% 2.82/2.35 inference(quant_inst,[status(thm)],[])).
% 2.82/2.35 tff(13152,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s18) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s18))),
% 2.82/2.35 inference(modus_ponens,[status(thm)],[13151, 13150])).
% 2.82/2.35 tff(13153,plain,
% 2.82/2.35 ($false),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13152, 8279, 13146, 11275, 13145, 11264])).
% 2.82/2.35 tff(13154,plain,((~trans(s199, s18)) | until2p7(s18) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.35 tff(13155,plain,
% 2.82/2.35 (~trans(s199, s18)),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13154, 11041, 8266])).
% 2.82/2.35 tff(13156,assumption,(~until2p7(s14)), introduced(assumption)).
% 2.82/2.35 tff(13157,assumption,(trans(s199, s14)), introduced(assumption)).
% 2.82/2.35 tff(13158,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s14) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s14)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s14) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s14)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13159,plain,
% 2.82/2.35 (((~trans(s199, s14)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s14)) <=> (until2p7(s14) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s14)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13160,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s14)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s14) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s14))))),
% 2.82/2.35 inference(monotonicity,[status(thm)],[13159])).
% 2.82/2.35 tff(13161,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s14)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s14) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s14)))),
% 2.82/2.35 inference(transitivity,[status(thm)],[13160, 13158])).
% 2.82/2.35 tff(13162,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s14)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s14))),
% 2.82/2.35 inference(quant_inst,[status(thm)],[])).
% 2.82/2.35 tff(13163,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s14) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s14))),
% 2.82/2.35 inference(modus_ponens,[status(thm)],[13162, 13161])).
% 2.82/2.35 tff(13164,plain,
% 2.82/2.35 ($false),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13163, 8279, 13157, 11275, 13156, 11264])).
% 2.82/2.35 tff(13165,plain,((~trans(s199, s14)) | until2p7(s14) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.35 tff(13166,plain,
% 2.82/2.35 (~trans(s199, s14)),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13165, 11089, 8266])).
% 2.82/2.35 tff(13167,assumption,(~until2p7(s109)), introduced(assumption)).
% 2.82/2.35 tff(13168,assumption,(trans(s199, s109)), introduced(assumption)).
% 2.82/2.35 tff(13169,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s109) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s109)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s109) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s109)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13170,plain,
% 2.82/2.35 (((~trans(s199, s109)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s109)) <=> (until2p7(s109) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s109)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13171,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s109)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s109) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s109))))),
% 2.82/2.35 inference(monotonicity,[status(thm)],[13170])).
% 2.82/2.35 tff(13172,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s109)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s109) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s109)))),
% 2.82/2.35 inference(transitivity,[status(thm)],[13171, 13169])).
% 2.82/2.35 tff(13173,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s109)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s109))),
% 2.82/2.35 inference(quant_inst,[status(thm)],[])).
% 2.82/2.35 tff(13174,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s109) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s109))),
% 2.82/2.35 inference(modus_ponens,[status(thm)],[13173, 13172])).
% 2.82/2.35 tff(13175,plain,
% 2.82/2.35 ($false),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13174, 8279, 13168, 11275, 13167, 11264])).
% 2.82/2.35 tff(13176,plain,((~trans(s199, s109)) | until2p7(s109) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.35 tff(13177,plain,
% 2.82/2.35 (~trans(s199, s109)),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13176, 9782, 8266])).
% 2.82/2.35 tff(13178,assumption,(~until2p7(s126)), introduced(assumption)).
% 2.82/2.35 tff(13179,assumption,(trans(s199, s126)), introduced(assumption)).
% 2.82/2.35 tff(13180,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s126) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s126)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s126) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s126)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13181,plain,
% 2.82/2.35 (((~trans(s199, s126)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s126)) <=> (until2p7(s126) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s126)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13182,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s126)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s126) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s126))))),
% 2.82/2.35 inference(monotonicity,[status(thm)],[13181])).
% 2.82/2.35 tff(13183,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s126)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s126) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s126)))),
% 2.82/2.35 inference(transitivity,[status(thm)],[13182, 13180])).
% 2.82/2.35 tff(13184,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s126)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s126))),
% 2.82/2.35 inference(quant_inst,[status(thm)],[])).
% 2.82/2.35 tff(13185,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s126) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s126))),
% 2.82/2.35 inference(modus_ponens,[status(thm)],[13184, 13183])).
% 2.82/2.35 tff(13186,plain,
% 2.82/2.35 ($false),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13185, 8279, 13179, 11275, 13178, 11264])).
% 2.82/2.35 tff(13187,plain,((~trans(s199, s126)) | until2p7(s126) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.35 tff(13188,plain,
% 2.82/2.35 (~trans(s199, s126)),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13187, 9578, 8266])).
% 2.82/2.35 tff(13189,assumption,(~until2p7(s36)), introduced(assumption)).
% 2.82/2.35 tff(13190,assumption,(trans(s199, s36)), introduced(assumption)).
% 2.82/2.35 tff(13191,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s36) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s36)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s36) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s36)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13192,plain,
% 2.82/2.35 (((~trans(s199, s36)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s36)) <=> (until2p7(s36) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s36)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13193,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s36)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s36) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s36))))),
% 2.82/2.35 inference(monotonicity,[status(thm)],[13192])).
% 2.82/2.35 tff(13194,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s36)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s36) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s36)))),
% 2.82/2.35 inference(transitivity,[status(thm)],[13193, 13191])).
% 2.82/2.35 tff(13195,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s36)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s36))),
% 2.82/2.35 inference(quant_inst,[status(thm)],[])).
% 2.82/2.35 tff(13196,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s36) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s36))),
% 2.82/2.35 inference(modus_ponens,[status(thm)],[13195, 13194])).
% 2.82/2.35 tff(13197,plain,
% 2.82/2.35 ($false),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13196, 8279, 13190, 11275, 13189, 11264])).
% 2.82/2.35 tff(13198,plain,((~trans(s199, s36)) | until2p7(s36) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.35 tff(13199,plain,
% 2.82/2.35 (~trans(s199, s36)),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13198, 10828, 8266])).
% 2.82/2.35 tff(13200,assumption,(~until2p7(s39)), introduced(assumption)).
% 2.82/2.35 tff(13201,assumption,(trans(s199, s39)), introduced(assumption)).
% 2.82/2.35 tff(13202,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s39) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s39)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s39) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s39)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13203,plain,
% 2.82/2.35 (((~trans(s199, s39)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s39)) <=> (until2p7(s39) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s39)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13204,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s39)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s39) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s39))))),
% 2.82/2.35 inference(monotonicity,[status(thm)],[13203])).
% 2.82/2.35 tff(13205,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s39)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s39) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s39)))),
% 2.82/2.35 inference(transitivity,[status(thm)],[13204, 13202])).
% 2.82/2.35 tff(13206,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s39)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s39))),
% 2.82/2.35 inference(quant_inst,[status(thm)],[])).
% 2.82/2.35 tff(13207,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s39) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s39))),
% 2.82/2.35 inference(modus_ponens,[status(thm)],[13206, 13205])).
% 2.82/2.35 tff(13208,plain,
% 2.82/2.35 ($false),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13207, 8279, 13201, 11275, 13200, 11264])).
% 2.82/2.35 tff(13209,plain,((~trans(s199, s39)) | until2p7(s39) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.35 tff(13210,plain,
% 2.82/2.35 (~trans(s199, s39)),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13209, 10792, 8266])).
% 2.82/2.35 tff(13211,assumption,(~until2p7(s50)), introduced(assumption)).
% 2.82/2.35 tff(13212,assumption,(trans(s199, s50)), introduced(assumption)).
% 2.82/2.35 tff(13213,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s50) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s50)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s50) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s50)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13214,plain,
% 2.82/2.35 (((~trans(s199, s50)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s50)) <=> (until2p7(s50) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s50)))),
% 2.82/2.35 inference(rewrite,[status(thm)],[])).
% 2.82/2.35 tff(13215,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s50)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s50) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s50))))),
% 2.82/2.35 inference(monotonicity,[status(thm)],[13214])).
% 2.82/2.35 tff(13216,plain,
% 2.82/2.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s50)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s50) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s50)))),
% 2.82/2.35 inference(transitivity,[status(thm)],[13215, 13213])).
% 2.82/2.35 tff(13217,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s50)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s50))),
% 2.82/2.35 inference(quant_inst,[status(thm)],[])).
% 2.82/2.35 tff(13218,plain,
% 2.82/2.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s50) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s50))),
% 2.82/2.35 inference(modus_ponens,[status(thm)],[13217, 13216])).
% 2.82/2.35 tff(13219,plain,
% 2.82/2.35 ($false),
% 2.82/2.35 inference(unit_resolution,[status(thm)],[13218, 8279, 13212, 11275, 13211, 11264])).
% 2.82/2.35 tff(13220,plain,((~trans(s199, s50)) | until2p7(s50) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.35 tff(13221,plain,
% 2.82/2.35 (~trans(s199, s50)),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13220, 10660, 8266])).
% 2.82/2.36 tff(13222,assumption,(~until2p7(s136)), introduced(assumption)).
% 2.82/2.36 tff(13223,assumption,(trans(s199, s136)), introduced(assumption)).
% 2.82/2.36 tff(13224,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s136) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s136)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s136) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s136)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13225,plain,
% 2.82/2.36 (((~trans(s199, s136)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s136)) <=> (until2p7(s136) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s136)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13226,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s136)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s136) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s136))))),
% 2.82/2.36 inference(monotonicity,[status(thm)],[13225])).
% 2.82/2.36 tff(13227,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s136)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s136) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s136)))),
% 2.82/2.36 inference(transitivity,[status(thm)],[13226, 13224])).
% 2.82/2.36 tff(13228,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s136)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s136))),
% 2.82/2.36 inference(quant_inst,[status(thm)],[])).
% 2.82/2.36 tff(13229,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s136) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s136))),
% 2.82/2.36 inference(modus_ponens,[status(thm)],[13228, 13227])).
% 2.82/2.36 tff(13230,plain,
% 2.82/2.36 ($false),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13229, 8279, 13223, 11275, 13222, 11264])).
% 2.82/2.36 tff(13231,plain,((~trans(s199, s136)) | until2p7(s136) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.36 tff(13232,plain,
% 2.82/2.36 (~trans(s199, s136)),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13231, 9458, 8266])).
% 2.82/2.36 tff(13233,assumption,(~until2p7(s87)), introduced(assumption)).
% 2.82/2.36 tff(13234,assumption,(trans(s199, s87)), introduced(assumption)).
% 2.82/2.36 tff(13235,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s87) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s87)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s87) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s87)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13236,plain,
% 2.82/2.36 (((~trans(s199, s87)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s87)) <=> (until2p7(s87) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s87)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13237,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s87)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s87) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s87))))),
% 2.82/2.36 inference(monotonicity,[status(thm)],[13236])).
% 2.82/2.36 tff(13238,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s87)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s87) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s87)))),
% 2.82/2.36 inference(transitivity,[status(thm)],[13237, 13235])).
% 2.82/2.36 tff(13239,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s87)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s87))),
% 2.82/2.36 inference(quant_inst,[status(thm)],[])).
% 2.82/2.36 tff(13240,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s87) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s87))),
% 2.82/2.36 inference(modus_ponens,[status(thm)],[13239, 13238])).
% 2.82/2.36 tff(13241,plain,
% 2.82/2.36 ($false),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13240, 8279, 13234, 11275, 13233, 11264])).
% 2.82/2.36 tff(13242,plain,((~trans(s199, s87)) | until2p7(s87) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.36 tff(13243,plain,
% 2.82/2.36 (~trans(s199, s87)),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13242, 10182, 8266])).
% 2.82/2.36 tff(13244,assumption,(~until2p7(s61)), introduced(assumption)).
% 2.82/2.36 tff(13245,assumption,(trans(s199, s61)), introduced(assumption)).
% 2.82/2.36 tff(13246,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s61) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s61)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s61) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s61)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13247,plain,
% 2.82/2.36 (((~trans(s199, s61)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s61)) <=> (until2p7(s61) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s61)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13248,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s61)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s61) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s61))))),
% 2.82/2.36 inference(monotonicity,[status(thm)],[13247])).
% 2.82/2.36 tff(13249,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s61)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s61) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s61)))),
% 2.82/2.36 inference(transitivity,[status(thm)],[13248, 13246])).
% 2.82/2.36 tff(13250,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s61)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s61))),
% 2.82/2.36 inference(quant_inst,[status(thm)],[])).
% 2.82/2.36 tff(13251,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s61) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s61))),
% 2.82/2.36 inference(modus_ponens,[status(thm)],[13250, 13249])).
% 2.82/2.36 tff(13252,plain,
% 2.82/2.36 ($false),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13251, 8279, 13245, 11275, 13244, 11264])).
% 2.82/2.36 tff(13253,plain,((~trans(s199, s61)) | until2p7(s61) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.36 tff(13254,plain,
% 2.82/2.36 (~trans(s199, s61)),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13253, 10528, 8266])).
% 2.82/2.36 tff(13255,assumption,(~until2p7(s117)), introduced(assumption)).
% 2.82/2.36 tff(13256,assumption,(trans(s199, s117)), introduced(assumption)).
% 2.82/2.36 tff(13257,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s117) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s117)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s117) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s117)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13258,plain,
% 2.82/2.36 (((~trans(s199, s117)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s117)) <=> (until2p7(s117) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s117)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13259,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s117)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s117) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s117))))),
% 2.82/2.36 inference(monotonicity,[status(thm)],[13258])).
% 2.82/2.36 tff(13260,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s117)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s117) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s117)))),
% 2.82/2.36 inference(transitivity,[status(thm)],[13259, 13257])).
% 2.82/2.36 tff(13261,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s117)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s117))),
% 2.82/2.36 inference(quant_inst,[status(thm)],[])).
% 2.82/2.36 tff(13262,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s117) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s117))),
% 2.82/2.36 inference(modus_ponens,[status(thm)],[13261, 13260])).
% 2.82/2.36 tff(13263,plain,
% 2.82/2.36 ($false),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13262, 8279, 13256, 11275, 13255, 11264])).
% 2.82/2.36 tff(13264,plain,((~trans(s199, s117)) | until2p7(s117) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.36 tff(13265,plain,
% 2.82/2.36 (~trans(s199, s117)),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13264, 9686, 8266])).
% 2.82/2.36 tff(13266,assumption,(~until2p7(s135)), introduced(assumption)).
% 2.82/2.36 tff(13267,assumption,(trans(s199, s135)), introduced(assumption)).
% 2.82/2.36 tff(13268,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s135) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s135)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s135) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s135)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13269,plain,
% 2.82/2.36 (((~trans(s199, s135)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s135)) <=> (until2p7(s135) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s135)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13270,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s135)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s135) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s135))))),
% 2.82/2.36 inference(monotonicity,[status(thm)],[13269])).
% 2.82/2.36 tff(13271,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s135)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s135) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s135)))),
% 2.82/2.36 inference(transitivity,[status(thm)],[13270, 13268])).
% 2.82/2.36 tff(13272,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s135)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s135))),
% 2.82/2.36 inference(quant_inst,[status(thm)],[])).
% 2.82/2.36 tff(13273,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s135) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s135))),
% 2.82/2.36 inference(modus_ponens,[status(thm)],[13272, 13271])).
% 2.82/2.36 tff(13274,plain,
% 2.82/2.36 ($false),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13273, 8279, 13267, 11275, 13266, 11264])).
% 2.82/2.36 tff(13275,plain,((~trans(s199, s135)) | until2p7(s135) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.36 tff(13276,plain,
% 2.82/2.36 (~trans(s199, s135)),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13275, 9470, 8266])).
% 2.82/2.36 tff(13277,assumption,(~until2p7(s83)), introduced(assumption)).
% 2.82/2.36 tff(13278,assumption,(trans(s199, s83)), introduced(assumption)).
% 2.82/2.36 tff(13279,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s83) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s83)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s83) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s83)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13280,plain,
% 2.82/2.36 (((~trans(s199, s83)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s83)) <=> (until2p7(s83) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s83)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13281,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s83)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s83) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s83))))),
% 2.82/2.36 inference(monotonicity,[status(thm)],[13280])).
% 2.82/2.36 tff(13282,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s83)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s83) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s83)))),
% 2.82/2.36 inference(transitivity,[status(thm)],[13281, 13279])).
% 2.82/2.36 tff(13283,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s83)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s83))),
% 2.82/2.36 inference(quant_inst,[status(thm)],[])).
% 2.82/2.36 tff(13284,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s83) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s83))),
% 2.82/2.36 inference(modus_ponens,[status(thm)],[13283, 13282])).
% 2.82/2.36 tff(13285,plain,
% 2.82/2.36 ($false),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13284, 8279, 13278, 11275, 13277, 11264])).
% 2.82/2.36 tff(13286,plain,((~trans(s199, s83)) | until2p7(s83) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.36 tff(13287,plain,
% 2.82/2.36 (~trans(s199, s83)),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13286, 10264, 8266])).
% 2.82/2.36 tff(13288,assumption,(~until2p7(s100)), introduced(assumption)).
% 2.82/2.36 tff(13289,assumption,(trans(s199, s100)), introduced(assumption)).
% 2.82/2.36 tff(13290,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s100) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s100)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s100) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s100)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13291,plain,
% 2.82/2.36 (((~trans(s199, s100)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s100)) <=> (until2p7(s100) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s100)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13292,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s100)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s100) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s100))))),
% 2.82/2.36 inference(monotonicity,[status(thm)],[13291])).
% 2.82/2.36 tff(13293,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s100)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s100) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s100)))),
% 2.82/2.36 inference(transitivity,[status(thm)],[13292, 13290])).
% 2.82/2.36 tff(13294,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s100)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s100))),
% 2.82/2.36 inference(quant_inst,[status(thm)],[])).
% 2.82/2.36 tff(13295,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s100) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s100))),
% 2.82/2.36 inference(modus_ponens,[status(thm)],[13294, 13293])).
% 2.82/2.36 tff(13296,plain,
% 2.82/2.36 ($false),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13295, 8279, 13289, 11275, 13288, 11264])).
% 2.82/2.36 tff(13297,plain,((~trans(s199, s100)) | until2p7(s100) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.36 tff(13298,plain,
% 2.82/2.36 (~trans(s199, s100)),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13297, 9924, 8266])).
% 2.82/2.36 tff(13299,assumption,(~until2p7(s141)), introduced(assumption)).
% 2.82/2.36 tff(13300,assumption,(trans(s199, s141)), introduced(assumption)).
% 2.82/2.36 tff(13301,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s141) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s141)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s141) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s141)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13302,plain,
% 2.82/2.36 (((~trans(s199, s141)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s141)) <=> (until2p7(s141) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s141)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13303,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s141)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s141) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s141))))),
% 2.82/2.36 inference(monotonicity,[status(thm)],[13302])).
% 2.82/2.36 tff(13304,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s141)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s141) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s141)))),
% 2.82/2.36 inference(transitivity,[status(thm)],[13303, 13301])).
% 2.82/2.36 tff(13305,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s141)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s141))),
% 2.82/2.36 inference(quant_inst,[status(thm)],[])).
% 2.82/2.36 tff(13306,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s141) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s141))),
% 2.82/2.36 inference(modus_ponens,[status(thm)],[13305, 13304])).
% 2.82/2.36 tff(13307,plain,
% 2.82/2.36 ($false),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13306, 8279, 13300, 11275, 13299, 11264])).
% 2.82/2.36 tff(13308,plain,((~trans(s199, s141)) | until2p7(s141) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.36 tff(13309,plain,
% 2.82/2.36 (~trans(s199, s141)),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13308, 9398, 8266])).
% 2.82/2.36 tff(13310,assumption,(~until2p7(s154)), introduced(assumption)).
% 2.82/2.36 tff(13311,assumption,(trans(s199, s154)), introduced(assumption)).
% 2.82/2.36 tff(13312,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s154) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s154)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s154) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s154)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13313,plain,
% 2.82/2.36 (((~trans(s199, s154)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s154)) <=> (until2p7(s154) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s154)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13314,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s154)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s154) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s154))))),
% 2.82/2.36 inference(monotonicity,[status(thm)],[13313])).
% 2.82/2.36 tff(13315,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s154)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s154) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s154)))),
% 2.82/2.36 inference(transitivity,[status(thm)],[13314, 13312])).
% 2.82/2.36 tff(13316,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s154)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s154))),
% 2.82/2.36 inference(quant_inst,[status(thm)],[])).
% 2.82/2.36 tff(13317,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s154) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s154))),
% 2.82/2.36 inference(modus_ponens,[status(thm)],[13316, 13315])).
% 2.82/2.36 tff(13318,plain,
% 2.82/2.36 ($false),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13317, 8279, 13311, 11275, 13310, 11264])).
% 2.82/2.36 tff(13319,plain,((~trans(s199, s154)) | until2p7(s154) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.36 tff(13320,plain,
% 2.82/2.36 (~trans(s199, s154)),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13319, 9147, 8266])).
% 2.82/2.36 tff(13321,assumption,(~until2p7(s63)), introduced(assumption)).
% 2.82/2.36 tff(13322,assumption,(trans(s199, s63)), introduced(assumption)).
% 2.82/2.36 tff(13323,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s63) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s63)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s63) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s63)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13324,plain,
% 2.82/2.36 (((~trans(s199, s63)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s63)) <=> (until2p7(s63) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s63)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13325,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s63)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s63) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s63))))),
% 2.82/2.36 inference(monotonicity,[status(thm)],[13324])).
% 2.82/2.36 tff(13326,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s63)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s63) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s63)))),
% 2.82/2.36 inference(transitivity,[status(thm)],[13325, 13323])).
% 2.82/2.36 tff(13327,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s63)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s63))),
% 2.82/2.36 inference(quant_inst,[status(thm)],[])).
% 2.82/2.36 tff(13328,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s63) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s63))),
% 2.82/2.36 inference(modus_ponens,[status(thm)],[13327, 13326])).
% 2.82/2.36 tff(13329,plain,
% 2.82/2.36 ($false),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13328, 8279, 13322, 11275, 13321, 11264])).
% 2.82/2.36 tff(13330,plain,((~trans(s199, s63)) | until2p7(s63) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.36 tff(13331,plain,
% 2.82/2.36 (~trans(s199, s63)),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13330, 10504, 8266])).
% 2.82/2.36 tff(13332,assumption,(~until2p7(s171)), introduced(assumption)).
% 2.82/2.36 tff(13333,assumption,(trans(s199, s171)), introduced(assumption)).
% 2.82/2.36 tff(13334,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s171) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s171)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s171) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s171)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13335,plain,
% 2.82/2.36 (((~trans(s199, s171)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s171)) <=> (until2p7(s171) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s171)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13336,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s171)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s171) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s171))))),
% 2.82/2.36 inference(monotonicity,[status(thm)],[13335])).
% 2.82/2.36 tff(13337,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s171)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s171) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s171)))),
% 2.82/2.36 inference(transitivity,[status(thm)],[13336, 13334])).
% 2.82/2.36 tff(13338,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s171)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s171))),
% 2.82/2.36 inference(quant_inst,[status(thm)],[])).
% 2.82/2.36 tff(13339,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s171) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s171))),
% 2.82/2.36 inference(modus_ponens,[status(thm)],[13338, 13337])).
% 2.82/2.36 tff(13340,plain,
% 2.82/2.36 ($false),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13339, 8279, 13333, 11275, 13332, 11264])).
% 2.82/2.36 tff(13341,plain,((~trans(s199, s171)) | until2p7(s171) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.36 tff(13342,plain,
% 2.82/2.36 (~trans(s199, s171)),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13341, 8786, 8266])).
% 2.82/2.36 tff(13343,assumption,(~until2p7(s175)), introduced(assumption)).
% 2.82/2.36 tff(13344,assumption,(trans(s199, s175)), introduced(assumption)).
% 2.82/2.36 tff(13345,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s175) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s175)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s175) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s175)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13346,plain,
% 2.82/2.36 (((~trans(s199, s175)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s175)) <=> (until2p7(s175) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s175)))),
% 2.82/2.36 inference(rewrite,[status(thm)],[])).
% 2.82/2.36 tff(13347,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s175)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s175) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s175))))),
% 2.82/2.36 inference(monotonicity,[status(thm)],[13346])).
% 2.82/2.36 tff(13348,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s175)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s175) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s175)))),
% 2.82/2.36 inference(transitivity,[status(thm)],[13347, 13345])).
% 2.82/2.36 tff(13349,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s175)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s175))),
% 2.82/2.36 inference(quant_inst,[status(thm)],[])).
% 2.82/2.36 tff(13350,plain,
% 2.82/2.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s175) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s175))),
% 2.82/2.36 inference(modus_ponens,[status(thm)],[13349, 13348])).
% 2.82/2.36 tff(13351,plain,
% 2.82/2.36 ($false),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13350, 8279, 13344, 11275, 13343, 11264])).
% 2.82/2.36 tff(13352,plain,((~trans(s199, s175)) | until2p7(s175) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.36 tff(13353,plain,
% 2.82/2.36 (~trans(s199, s175)),
% 2.82/2.36 inference(unit_resolution,[status(thm)],[13352, 8739, 8266])).
% 2.82/2.36 tff(13354,assumption,(~until2p7(s192)), introduced(assumption)).
% 2.82/2.36 tff(13355,assumption,(trans(s199, s192)), introduced(assumption)).
% 2.82/2.36 tff(13356,plain,
% 2.82/2.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s192) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s192)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s192) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s192)))),
% 2.82/2.37 inference(rewrite,[status(thm)],[])).
% 2.82/2.37 tff(13357,plain,
% 2.82/2.37 (((~trans(s199, s192)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s192)) <=> (until2p7(s192) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s192)))),
% 2.82/2.37 inference(rewrite,[status(thm)],[])).
% 2.82/2.37 tff(13358,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s192)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s192) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s192))))),
% 2.82/2.37 inference(monotonicity,[status(thm)],[13357])).
% 2.82/2.37 tff(13359,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s192)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s192) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s192)))),
% 2.82/2.37 inference(transitivity,[status(thm)],[13358, 13356])).
% 2.82/2.37 tff(13360,plain,
% 2.82/2.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s192)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s192))),
% 2.82/2.37 inference(quant_inst,[status(thm)],[])).
% 2.82/2.37 tff(13361,plain,
% 2.82/2.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s192) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s192))),
% 2.82/2.37 inference(modus_ponens,[status(thm)],[13360, 13359])).
% 2.82/2.37 tff(13362,plain,
% 2.82/2.37 ($false),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13361, 8279, 13355, 11275, 13354, 11264])).
% 2.82/2.37 tff(13363,plain,((~trans(s199, s192)) | until2p7(s192) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.37 tff(13364,plain,
% 2.82/2.37 (~trans(s199, s192)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13363, 8406, 8266])).
% 2.82/2.37 tff(13365,assumption,(~until2p7(s1)), introduced(assumption)).
% 2.82/2.37 tff(13366,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s1) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s1) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s1)))),
% 2.82/2.37 inference(rewrite,[status(thm)],[])).
% 2.82/2.37 tff(13367,plain,
% 2.82/2.37 (((~trans(s199, s1)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s1)) <=> (until2p7(s1) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s1)))),
% 2.82/2.37 inference(rewrite,[status(thm)],[])).
% 2.82/2.37 tff(13368,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s1)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s1) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s1))))),
% 2.82/2.37 inference(monotonicity,[status(thm)],[13367])).
% 2.82/2.37 tff(13369,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s1)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s1) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s1)))),
% 2.82/2.37 inference(transitivity,[status(thm)],[13368, 13366])).
% 2.82/2.37 tff(13370,plain,
% 2.82/2.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s1)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s1))),
% 2.82/2.37 inference(quant_inst,[status(thm)],[])).
% 2.82/2.37 tff(13371,plain,
% 2.82/2.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s1) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s1))),
% 2.82/2.37 inference(modus_ponens,[status(thm)],[13370, 13369])).
% 2.82/2.37 tff(13372,plain,
% 2.82/2.37 ($false),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13371, 8279, 8, 11275, 13365, 11264])).
% 2.82/2.37 tff(13373,plain,((~trans(s199, s1)) | until2p7(s1) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.37 tff(13374,plain,
% 2.82/2.37 (~trans(s199, s1)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13373, 11250, 8266])).
% 2.82/2.37 tff(13375,assumption,(~until2p7(s197)), introduced(assumption)).
% 2.82/2.37 tff(13376,plain,
% 2.82/2.37 (~xuntil2p8(s196)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8358, 13375])).
% 2.82/2.37 tff(13377,plain,
% 2.82/2.37 (~until2p7(s196)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8363, 13376])).
% 2.82/2.37 tff(13378,assumption,(~trans(s199, s5)), introduced(assumption)).
% 2.82/2.37 tff(13379,plain,
% 2.82/2.37 (~xuntil2p8(s195)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8368, 13377])).
% 2.82/2.37 tff(13380,assumption,(~node4(s195)), introduced(assumption)).
% 2.82/2.37 tff(13381,plain,
% 2.82/2.37 (xuntil2p8(s195) | (~until2p7(s195))),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8373, 8293, 13380])).
% 2.82/2.37 tff(13382,plain,
% 2.82/2.37 (~until2p7(s195)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13381, 13379])).
% 2.82/2.37 tff(13383,plain,
% 2.82/2.37 (~xuntil2p8(s194)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8379, 13382])).
% 2.82/2.37 tff(13384,plain,
% 2.82/2.37 (~until2p7(s194)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8384, 13383])).
% 2.82/2.37 tff(13385,plain,
% 2.82/2.37 (~xuntil2p8(s193)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8389, 13384])).
% 2.82/2.37 tff(13386,assumption,(~node4(s193)), introduced(assumption)).
% 2.82/2.37 tff(13387,plain,
% 2.82/2.37 (xuntil2p8(s193) | (~until2p7(s193))),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8394, 8293, 13386])).
% 2.82/2.37 tff(13388,plain,
% 2.82/2.37 (~until2p7(s193)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13387, 13385])).
% 2.82/2.37 tff(13389,plain,
% 2.82/2.37 (~xuntil2p8(s192)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8400, 13388])).
% 2.82/2.37 tff(13390,plain,
% 2.82/2.37 (~until2p7(s192)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8405, 13389])).
% 2.82/2.37 tff(13391,plain,
% 2.82/2.37 (~xuntil2p8(s191)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8410, 13390])).
% 2.82/2.37 tff(13392,plain,
% 2.82/2.37 (~until2p7(s191)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8438, 13391])).
% 2.82/2.37 tff(13393,plain,
% 2.82/2.37 (~xuntil2p8(s190)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8443, 13392])).
% 2.82/2.37 tff(13394,plain,
% 2.82/2.37 (~until2p7(s190)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8448, 13393])).
% 2.82/2.37 tff(13395,plain,
% 2.82/2.37 (~xuntil2p8(s189)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8453, 13394])).
% 2.82/2.37 tff(13396,assumption,(~node4(s189)), introduced(assumption)).
% 2.82/2.37 tff(13397,plain,
% 2.82/2.37 (xuntil2p8(s189) | (~until2p7(s189))),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8457, 8293, 13396])).
% 2.82/2.37 tff(13398,plain,
% 2.82/2.37 (~until2p7(s189)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13397, 13395])).
% 2.82/2.37 tff(13399,plain,
% 2.82/2.37 (~xuntil2p8(s188)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8463, 13398])).
% 2.82/2.37 tff(13400,plain,
% 2.82/2.37 (~until2p7(s188)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8468, 13399])).
% 2.82/2.37 tff(13401,plain,
% 2.82/2.37 (~xuntil2p8(s187)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8473, 13400])).
% 2.82/2.37 tff(13402,assumption,(~node4(s187)), introduced(assumption)).
% 2.82/2.37 tff(13403,plain,
% 2.82/2.37 (xuntil2p8(s187) | (~until2p7(s187))),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8478, 8293, 13402])).
% 2.82/2.37 tff(13404,plain,
% 2.82/2.37 (~until2p7(s187)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13403, 13401])).
% 2.82/2.37 tff(13405,plain,
% 2.82/2.37 (~xuntil2p8(s186)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8484, 13404])).
% 2.82/2.37 tff(13406,plain,
% 2.82/2.37 (~until2p7(s186)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8524, 13405])).
% 2.82/2.37 tff(13407,plain,
% 2.82/2.37 (~xuntil2p8(s185)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8529, 13406])).
% 2.82/2.37 tff(13408,assumption,(~node4(s185)), introduced(assumption)).
% 2.82/2.37 tff(13409,plain,
% 2.82/2.37 (xuntil2p8(s185) | (~until2p7(s185))),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[8534, 8293, 13408])).
% 2.82/2.37 tff(13410,plain,
% 2.82/2.37 (~until2p7(s185)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13409, 13407])).
% 2.82/2.37 tff(13411,assumption,(~until2p7(s185)), introduced(assumption)).
% 2.82/2.37 tff(13412,assumption,(trans(s199, s185)), introduced(assumption)).
% 2.82/2.37 tff(13413,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s185) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s185)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s185) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s185)))),
% 2.82/2.37 inference(rewrite,[status(thm)],[])).
% 2.82/2.37 tff(13414,plain,
% 2.82/2.37 (((~trans(s199, s185)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s185)) <=> (until2p7(s185) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s185)))),
% 2.82/2.37 inference(rewrite,[status(thm)],[])).
% 2.82/2.37 tff(13415,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s185)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s185) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s185))))),
% 2.82/2.37 inference(monotonicity,[status(thm)],[13414])).
% 2.82/2.37 tff(13416,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s185)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s185) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s185)))),
% 2.82/2.37 inference(transitivity,[status(thm)],[13415, 13413])).
% 2.82/2.37 tff(13417,plain,
% 2.82/2.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s185)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s185))),
% 2.82/2.37 inference(quant_inst,[status(thm)],[])).
% 2.82/2.37 tff(13418,plain,
% 2.82/2.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s185) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s185))),
% 2.82/2.37 inference(modus_ponens,[status(thm)],[13417, 13416])).
% 2.82/2.37 tff(13419,plain,
% 2.82/2.37 ($false),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13418, 8279, 13412, 11275, 13411, 11264])).
% 2.82/2.37 tff(13420,plain,((~trans(s199, s185)) | until2p7(s185) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.37 tff(13421,plain,
% 2.82/2.37 (~trans(s199, s185)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13420, 13410, 11264])).
% 2.82/2.37 tff(13422,assumption,(~until2p7(s189)), introduced(assumption)).
% 2.82/2.37 tff(13423,assumption,(trans(s199, s189)), introduced(assumption)).
% 2.82/2.37 tff(13424,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s189) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s189)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s189) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s189)))),
% 2.82/2.37 inference(rewrite,[status(thm)],[])).
% 2.82/2.37 tff(13425,plain,
% 2.82/2.37 (((~trans(s199, s189)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s189)) <=> (until2p7(s189) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s189)))),
% 2.82/2.37 inference(rewrite,[status(thm)],[])).
% 2.82/2.37 tff(13426,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s189)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s189) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s189))))),
% 2.82/2.37 inference(monotonicity,[status(thm)],[13425])).
% 2.82/2.37 tff(13427,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s189)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s189) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s189)))),
% 2.82/2.37 inference(transitivity,[status(thm)],[13426, 13424])).
% 2.82/2.37 tff(13428,plain,
% 2.82/2.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s189)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s189))),
% 2.82/2.37 inference(quant_inst,[status(thm)],[])).
% 2.82/2.37 tff(13429,plain,
% 2.82/2.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s189) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s189))),
% 2.82/2.37 inference(modus_ponens,[status(thm)],[13428, 13427])).
% 2.82/2.37 tff(13430,plain,
% 2.82/2.37 ($false),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13429, 8279, 13423, 11275, 13422, 11264])).
% 2.82/2.37 tff(13431,plain,((~trans(s199, s189)) | until2p7(s189) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.37 tff(13432,plain,
% 2.82/2.37 (~trans(s199, s189)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13431, 13398, 11264])).
% 2.82/2.37 tff(13433,assumption,(~trans(s199, s96)), introduced(assumption)).
% 2.82/2.37 tff(13434,assumption,(~trans(s199, s32)), introduced(assumption)).
% 2.82/2.37 tff(13435,assumption,(~trans(s199, s8)), introduced(assumption)).
% 2.82/2.37 tff(13436,assumption,(~trans(s199, s147)), introduced(assumption)).
% 2.82/2.37 tff(13437,assumption,(~trans(s199, s15)), introduced(assumption)).
% 2.82/2.37 tff(13438,assumption,(~trans(s199, s16)), introduced(assumption)).
% 2.82/2.37 tff(13439,assumption,(~trans(s199, s178)), introduced(assumption)).
% 2.82/2.37 tff(13440,assumption,(~trans(s199, s93)), introduced(assumption)).
% 2.82/2.37 tff(13441,assumption,(~until2p7(s193)), introduced(assumption)).
% 2.82/2.37 tff(13442,assumption,(trans(s199, s193)), introduced(assumption)).
% 2.82/2.37 tff(13443,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s193) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s193)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s193) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s193)))),
% 2.82/2.37 inference(rewrite,[status(thm)],[])).
% 2.82/2.37 tff(13444,plain,
% 2.82/2.37 (((~trans(s199, s193)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s193)) <=> (until2p7(s193) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s193)))),
% 2.82/2.37 inference(rewrite,[status(thm)],[])).
% 2.82/2.37 tff(13445,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s193)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s193) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s193))))),
% 2.82/2.37 inference(monotonicity,[status(thm)],[13444])).
% 2.82/2.37 tff(13446,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s193)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s193) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s193)))),
% 2.82/2.37 inference(transitivity,[status(thm)],[13445, 13443])).
% 2.82/2.37 tff(13447,plain,
% 2.82/2.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s193)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s193))),
% 2.82/2.37 inference(quant_inst,[status(thm)],[])).
% 2.82/2.37 tff(13448,plain,
% 2.82/2.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s193) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s193))),
% 2.82/2.37 inference(modus_ponens,[status(thm)],[13447, 13446])).
% 2.82/2.37 tff(13449,plain,
% 2.82/2.37 ($false),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13448, 8279, 13442, 11275, 13441, 11264])).
% 2.82/2.37 tff(13450,plain,((~trans(s199, s193)) | until2p7(s193) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.37 tff(13451,plain,
% 2.82/2.37 (~trans(s199, s193)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13450, 13388, 11264])).
% 2.82/2.37 tff(13452,assumption,(~until2p7(s194)), introduced(assumption)).
% 2.82/2.37 tff(13453,assumption,(trans(s199, s194)), introduced(assumption)).
% 2.82/2.37 tff(13454,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s194) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s194)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s194) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s194)))),
% 2.82/2.37 inference(rewrite,[status(thm)],[])).
% 2.82/2.37 tff(13455,plain,
% 2.82/2.37 (((~trans(s199, s194)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s194)) <=> (until2p7(s194) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s194)))),
% 2.82/2.37 inference(rewrite,[status(thm)],[])).
% 2.82/2.37 tff(13456,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s194)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s194) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s194))))),
% 2.82/2.37 inference(monotonicity,[status(thm)],[13455])).
% 2.82/2.37 tff(13457,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s194)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s194) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s194)))),
% 2.82/2.37 inference(transitivity,[status(thm)],[13456, 13454])).
% 2.82/2.37 tff(13458,plain,
% 2.82/2.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s194)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s194))),
% 2.82/2.37 inference(quant_inst,[status(thm)],[])).
% 2.82/2.37 tff(13459,plain,
% 2.82/2.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s194) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s194))),
% 2.82/2.37 inference(modus_ponens,[status(thm)],[13458, 13457])).
% 2.82/2.37 tff(13460,plain,
% 2.82/2.37 ($false),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13459, 8279, 13453, 11275, 13452, 11264])).
% 2.82/2.37 tff(13461,plain,((~trans(s199, s194)) | until2p7(s194) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.37 tff(13462,plain,
% 2.82/2.37 (~trans(s199, s194)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13461, 13384, 11264])).
% 2.82/2.37 tff(13463,assumption,(~until2p7(s195)), introduced(assumption)).
% 2.82/2.37 tff(13464,assumption,(trans(s199, s195)), introduced(assumption)).
% 2.82/2.37 tff(13465,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s195) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s195)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s195) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s195)))),
% 2.82/2.37 inference(rewrite,[status(thm)],[])).
% 2.82/2.37 tff(13466,plain,
% 2.82/2.37 (((~trans(s199, s195)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s195)) <=> (until2p7(s195) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s195)))),
% 2.82/2.37 inference(rewrite,[status(thm)],[])).
% 2.82/2.37 tff(13467,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s195)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s195) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s195))))),
% 2.82/2.37 inference(monotonicity,[status(thm)],[13466])).
% 2.82/2.37 tff(13468,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s195)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s195) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s195)))),
% 2.82/2.37 inference(transitivity,[status(thm)],[13467, 13465])).
% 2.82/2.37 tff(13469,plain,
% 2.82/2.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s195)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s195))),
% 2.82/2.37 inference(quant_inst,[status(thm)],[])).
% 2.82/2.37 tff(13470,plain,
% 2.82/2.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s195) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s195))),
% 2.82/2.37 inference(modus_ponens,[status(thm)],[13469, 13468])).
% 2.82/2.37 tff(13471,plain,
% 2.82/2.37 ($false),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13470, 8279, 13464, 11275, 13463, 11264])).
% 2.82/2.37 tff(13472,plain,((~trans(s199, s195)) | until2p7(s195) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.82/2.37 tff(13473,plain,
% 2.82/2.37 (~trans(s199, s195)),
% 2.82/2.37 inference(unit_resolution,[status(thm)],[13472, 13382, 11264])).
% 2.82/2.37 tff(13474,assumption,(trans(s199, s197)), introduced(assumption)).
% 2.82/2.37 tff(13475,plain,
% 2.82/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s197) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s197)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s197) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s197)))),
% 2.82/2.37 inference(rewrite,[status(thm)],[])).
% 2.82/2.37 tff(13476,plain,
% 2.90/2.37 (((~trans(s199, s197)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s197)) <=> (until2p7(s197) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s197)))),
% 2.90/2.37 inference(rewrite,[status(thm)],[])).
% 2.90/2.37 tff(13477,plain,
% 2.90/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s197)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s197) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s197))))),
% 2.90/2.37 inference(monotonicity,[status(thm)],[13476])).
% 2.90/2.37 tff(13478,plain,
% 2.90/2.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s197)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s197) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s197)))),
% 2.90/2.37 inference(transitivity,[status(thm)],[13477, 13475])).
% 2.90/2.37 tff(13479,plain,
% 2.90/2.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s197)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s197))),
% 2.90/2.37 inference(quant_inst,[status(thm)],[])).
% 2.90/2.37 tff(13480,plain,
% 2.90/2.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s197) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s197))),
% 2.90/2.37 inference(modus_ponens,[status(thm)],[13479, 13478])).
% 2.90/2.37 tff(13481,plain,
% 2.90/2.37 ($false),
% 2.90/2.37 inference(unit_resolution,[status(thm)],[13480, 8279, 13474, 11275, 13375, 11264])).
% 2.90/2.37 tff(13482,plain,((~trans(s199, s197)) | until2p7(s197) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.90/2.37 tff(13483,plain,
% 2.90/2.37 (~trans(s199, s197)),
% 2.90/2.37 inference(unit_resolution,[status(thm)],[13482, 13375, 11264])).
% 2.90/2.37 tff(13484,assumption,(~trans(s199, s192)), introduced(assumption)).
% 2.90/2.37 tff(13485,assumption,(~trans(s199, s190)), introduced(assumption)).
% 2.90/2.37 tff(13486,assumption,(~trans(s199, s182)), introduced(assumption)).
% 2.90/2.37 tff(13487,assumption,(~trans(s199, s183)), introduced(assumption)).
% 2.90/2.37 tff(13488,assumption,(~trans(s199, s139)), introduced(assumption)).
% 2.90/2.37 tff(13489,assumption,(~trans(s199, s108)), introduced(assumption)).
% 2.90/2.37 tff(13490,assumption,(~trans(s199, s46)), introduced(assumption)).
% 2.90/2.37 tff(13491,assumption,(~trans(s199, s123)), introduced(assumption)).
% 2.90/2.37 tff(13492,assumption,(~trans(s199, s148)), introduced(assumption)).
% 2.90/2.37 tff(13493,assumption,(~trans(s199, s38)), introduced(assumption)).
% 2.90/2.37 tff(13494,assumption,(~trans(s199, s146)), introduced(assumption)).
% 2.90/2.37 tff(13495,assumption,(~trans(s199, s138)), introduced(assumption)).
% 2.90/2.37 tff(13496,assumption,(~trans(s199, s120)), introduced(assumption)).
% 2.90/2.37 tff(13497,assumption,(~trans(s199, s162)), introduced(assumption)).
% 2.90/2.37 tff(13498,assumption,(~trans(s199, s82)), introduced(assumption)).
% 2.90/2.37 tff(13499,assumption,(~trans(s199, s130)), introduced(assumption)).
% 2.90/2.37 tff(13500,assumption,(~trans(s199, s95)), introduced(assumption)).
% 2.90/2.37 tff(13501,assumption,(~trans(s199, s7)), introduced(assumption)).
% 2.90/2.37 tff(13502,assumption,(~trans(s199, s1)), introduced(assumption)).
% 2.90/2.37 tff(13503,assumption,(~trans(s199, s6)), introduced(assumption)).
% 2.90/2.37 tff(13504,assumption,(~trans(s199, s88)), introduced(assumption)).
% 2.90/2.37 tff(13505,assumption,(~trans(s199, s155)), introduced(assumption)).
% 2.90/2.37 tff(13506,assumption,(~trans(s199, s79)), introduced(assumption)).
% 2.90/2.37 tff(13507,assumption,(~trans(s199, s143)), introduced(assumption)).
% 2.90/2.37 tff(13508,assumption,(~trans(s199, s37)), introduced(assumption)).
% 2.90/2.37 tff(13509,assumption,(~trans(s199, s165)), introduced(assumption)).
% 2.90/2.37 tff(13510,assumption,(~trans(s199, s128)), introduced(assumption)).
% 2.90/2.37 tff(13511,assumption,(~trans(s199, s159)), introduced(assumption)).
% 2.90/2.37 tff(13512,assumption,(~trans(s199, s30)), introduced(assumption)).
% 2.90/2.37 tff(13513,assumption,(~trans(s199, s114)), introduced(assumption)).
% 2.90/2.37 tff(13514,assumption,(~trans(s199, s66)), introduced(assumption)).
% 2.90/2.37 tff(13515,assumption,(~trans(s199, s98)), introduced(assumption)).
% 2.90/2.37 tff(13516,assumption,(~trans(s199, s174)), introduced(assumption)).
% 2.90/2.37 tff(13517,assumption,(~trans(s199, s142)), introduced(assumption)).
% 2.90/2.37 tff(13518,assumption,(~trans(s199, s84)), introduced(assumption)).
% 2.90/2.37 tff(13519,assumption,(~trans(s199, s187)), introduced(assumption)).
% 2.90/2.37 tff(13520,assumption,(~trans(s199, s181)), introduced(assumption)).
% 2.90/2.37 tff(13521,assumption,(~trans(s199, s156)), introduced(assumption)).
% 2.90/2.37 tff(13522,assumption,(~trans(s199, s177)), introduced(assumption)).
% 2.90/2.37 tff(13523,assumption,(~trans(s199, s179)), introduced(assumption)).
% 2.90/2.37 tff(13524,assumption,(~trans(s199, s180)), introduced(assumption)).
% 2.90/2.37 tff(13525,assumption,(~trans(s199, s105)), introduced(assumption)).
% 2.90/2.37 tff(13526,assumption,(~trans(s199, s107)), introduced(assumption)).
% 2.90/2.37 tff(13527,assumption,(~trans(s199, s21)), introduced(assumption)).
% 2.90/2.37 tff(13528,assumption,(~trans(s199, s191)), introduced(assumption)).
% 2.90/2.37 tff(13529,assumption,(~trans(s199, s157)), introduced(assumption)).
% 2.90/2.37 tff(13530,assumption,(~trans(s199, s35)), introduced(assumption)).
% 2.90/2.37 tff(13531,assumption,(~trans(s199, s150)), introduced(assumption)).
% 2.90/2.37 tff(13532,assumption,(~trans(s199, s68)), introduced(assumption)).
% 2.90/2.37 tff(13533,assumption,(~trans(s199, s198)), introduced(assumption)).
% 2.90/2.37 tff(13534,assumption,(~trans(s199, s94)), introduced(assumption)).
% 2.90/2.37 tff(13535,assumption,(~trans(s199, s19)), introduced(assumption)).
% 2.90/2.37 tff(13536,assumption,(~trans(s199, s153)), introduced(assumption)).
% 2.90/2.37 tff(13537,assumption,(~trans(s199, s161)), introduced(assumption)).
% 2.90/2.37 tff(13538,assumption,(~trans(s199, s164)), introduced(assumption)).
% 2.90/2.37 tff(13539,assumption,(~trans(s199, s118)), introduced(assumption)).
% 2.90/2.37 tff(13540,assumption,(~trans(s199, s34)), introduced(assumption)).
% 2.90/2.37 tff(13541,assumption,(~trans(s199, s26)), introduced(assumption)).
% 2.90/2.37 tff(13542,assumption,(~trans(s199, s97)), introduced(assumption)).
% 2.90/2.37 tff(13543,assumption,(~trans(s199, s112)), introduced(assumption)).
% 2.90/2.37 tff(13544,assumption,(~trans(s199, s76)), introduced(assumption)).
% 2.90/2.37 tff(13545,assumption,(~trans(s199, s60)), introduced(assumption)).
% 2.90/2.37 tff(13546,assumption,(~trans(s199, s22)), introduced(assumption)).
% 2.90/2.37 tff(13547,assumption,(~trans(s199, s104)), introduced(assumption)).
% 2.90/2.37 tff(13548,assumption,(~trans(s199, s75)), introduced(assumption)).
% 2.90/2.37 tff(13549,assumption,(~trans(s199, s90)), introduced(assumption)).
% 2.90/2.37 tff(13550,assumption,(~trans(s199, s85)), introduced(assumption)).
% 2.90/2.37 tff(13551,assumption,(~trans(s199, s42)), introduced(assumption)).
% 2.90/2.37 tff(13552,assumption,(~trans(s199, s102)), introduced(assumption)).
% 2.90/2.37 tff(13553,assumption,(~trans(s199, s27)), introduced(assumption)).
% 2.90/2.37 tff(13554,assumption,(~trans(s199, s110)), introduced(assumption)).
% 2.90/2.37 tff(13555,assumption,(~trans(s199, s64)), introduced(assumption)).
% 2.90/2.37 tff(13556,assumption,(~trans(s199, s54)), introduced(assumption)).
% 2.90/2.37 tff(13557,assumption,(~trans(s199, s132)), introduced(assumption)).
% 2.90/2.37 tff(13558,assumption,(~trans(s199, s188)), introduced(assumption)).
% 2.90/2.37 tff(13559,assumption,(~trans(s199, s31)), introduced(assumption)).
% 2.90/2.37 tff(13560,assumption,(~trans(s199, s158)), introduced(assumption)).
% 2.90/2.37 tff(13561,assumption,(~trans(s199, s116)), introduced(assumption)).
% 2.90/2.37 tff(13562,assumption,(~trans(s199, s59)), introduced(assumption)).
% 2.90/2.37 tff(13563,assumption,(~trans(s199, s144)), introduced(assumption)).
% 2.90/2.37 tff(13564,assumption,(~trans(s199, s48)), introduced(assumption)).
% 2.90/2.37 tff(13565,assumption,(~trans(s199, s11)), introduced(assumption)).
% 2.90/2.37 tff(13566,assumption,(~trans(s199, s119)), introduced(assumption)).
% 2.90/2.37 tff(13567,assumption,(~trans(s199, s52)), introduced(assumption)).
% 2.90/2.37 tff(13568,assumption,(~trans(s199, s149)), introduced(assumption)).
% 2.90/2.37 tff(13569,assumption,(~trans(s199, s99)), introduced(assumption)).
% 2.90/2.37 tff(13570,assumption,(~trans(s199, s45)), introduced(assumption)).
% 2.90/2.37 tff(13571,assumption,(~trans(s199, s4)), introduced(assumption)).
% 2.90/2.37 tff(13572,assumption,(~trans(s199, s81)), introduced(assumption)).
% 2.90/2.37 tff(13573,assumption,(~trans(s199, s43)), introduced(assumption)).
% 2.90/2.37 tff(13574,assumption,(~trans(s199, s70)), introduced(assumption)).
% 2.90/2.37 tff(13575,assumption,(~trans(s199, s67)), introduced(assumption)).
% 2.90/2.37 tff(13576,assumption,(~trans(s199, s56)), introduced(assumption)).
% 2.90/2.37 tff(13577,assumption,(~trans(s199, s12)), introduced(assumption)).
% 2.90/2.37 tff(13578,assumption,(~trans(s199, s140)), introduced(assumption)).
% 2.90/2.37 tff(13579,assumption,(~trans(s199, s69)), introduced(assumption)).
% 2.90/2.37 tff(13580,assumption,(~trans(s199, s134)), introduced(assumption)).
% 2.90/2.37 tff(13581,assumption,(~trans(s199, s51)), introduced(assumption)).
% 2.90/2.37 tff(13582,assumption,(~trans(s199, s80)), introduced(assumption)).
% 2.90/2.37 tff(13583,assumption,(~trans(s199, s3)), introduced(assumption)).
% 2.90/2.37 tff(13584,assumption,(~trans(s199, s186)), introduced(assumption)).
% 2.90/2.37 tff(13585,assumption,(~trans(s199, s199)), introduced(assumption)).
% 2.90/2.37 tff(13586,assumption,(~trans(s199, s170)), introduced(assumption)).
% 2.90/2.37 tff(13587,assumption,(~trans(s199, s72)), introduced(assumption)).
% 2.90/2.37 tff(13588,assumption,(~trans(s199, s29)), introduced(assumption)).
% 2.90/2.37 tff(13589,assumption,(~trans(s199, s86)), introduced(assumption)).
% 2.90/2.37 tff(13590,assumption,(~trans(s199, s57)), introduced(assumption)).
% 2.90/2.37 tff(13591,assumption,(~trans(s199, s23)), introduced(assumption)).
% 2.90/2.37 tff(13592,assumption,(~trans(s199, s122)), introduced(assumption)).
% 2.90/2.37 tff(13593,assumption,(~trans(s199, s131)), introduced(assumption)).
% 2.90/2.37 tff(13594,assumption,(~trans(s199, s65)), introduced(assumption)).
% 2.90/2.37 tff(13595,assumption,(~trans(s199, s160)), introduced(assumption)).
% 2.90/2.37 tff(13596,assumption,(~trans(s199, s151)), introduced(assumption)).
% 2.90/2.37 tff(13597,assumption,(~trans(s199, s74)), introduced(assumption)).
% 2.90/2.37 tff(13598,assumption,(~trans(s199, s0)), introduced(assumption)).
% 2.90/2.37 tff(13599,assumption,(~trans(s199, s125)), introduced(assumption)).
% 2.90/2.37 tff(13600,assumption,(~trans(s199, s129)), introduced(assumption)).
% 2.90/2.37 tff(13601,assumption,(~trans(s199, s113)), introduced(assumption)).
% 2.90/2.37 tff(13602,assumption,(~trans(s199, s121)), introduced(assumption)).
% 2.90/2.37 tff(13603,assumption,(~trans(s199, s101)), introduced(assumption)).
% 2.90/2.37 tff(13604,assumption,(~trans(s199, s77)), introduced(assumption)).
% 2.90/2.37 tff(13605,assumption,(~trans(s199, s33)), introduced(assumption)).
% 2.90/2.37 tff(13606,assumption,(~trans(s199, s40)), introduced(assumption)).
% 2.90/2.37 tff(13607,assumption,(~trans(s199, s172)), introduced(assumption)).
% 2.90/2.37 tff(13608,assumption,(~trans(s199, s44)), introduced(assumption)).
% 2.90/2.37 tff(13609,assumption,(~trans(s199, s20)), introduced(assumption)).
% 2.90/2.37 tff(13610,assumption,(~trans(s199, s137)), introduced(assumption)).
% 2.90/2.37 tff(13611,assumption,(~trans(s199, s127)), introduced(assumption)).
% 2.90/2.37 tff(13612,assumption,(~trans(s199, s173)), introduced(assumption)).
% 2.90/2.37 tff(13613,assumption,(~trans(s199, s163)), introduced(assumption)).
% 2.90/2.37 tff(13614,assumption,(~trans(s199, s145)), introduced(assumption)).
% 2.90/2.37 tff(13615,assumption,(~trans(s199, s55)), introduced(assumption)).
% 2.90/2.37 tff(13616,assumption,(~trans(s199, s10)), introduced(assumption)).
% 2.90/2.37 tff(13617,assumption,(~trans(s199, s41)), introduced(assumption)).
% 2.90/2.37 tff(13618,assumption,(~trans(s199, s169)), introduced(assumption)).
% 2.90/2.37 tff(13619,assumption,(~trans(s199, s91)), introduced(assumption)).
% 2.90/2.37 tff(13620,assumption,(~trans(s199, s106)), introduced(assumption)).
% 2.90/2.37 tff(13621,assumption,(~trans(s199, s115)), introduced(assumption)).
% 2.90/2.37 tff(13622,assumption,(~trans(s199, s47)), introduced(assumption)).
% 2.90/2.37 tff(13623,assumption,(~trans(s199, s133)), introduced(assumption)).
% 2.90/2.37 tff(13624,assumption,(~trans(s199, s28)), introduced(assumption)).
% 2.90/2.37 tff(13625,assumption,(~trans(s199, s176)), introduced(assumption)).
% 2.90/2.37 tff(13626,assumption,(~trans(s199, s71)), introduced(assumption)).
% 2.90/2.37 tff(13627,assumption,(~trans(s199, s89)), introduced(assumption)).
% 2.90/2.37 tff(13628,assumption,(~trans(s199, s53)), introduced(assumption)).
% 2.90/2.37 tff(13629,assumption,(~trans(s199, s167)), introduced(assumption)).
% 2.90/2.37 tff(13630,assumption,(~trans(s199, s124)), introduced(assumption)).
% 2.90/2.37 tff(13631,assumption,(~trans(s199, s24)), introduced(assumption)).
% 2.90/2.37 tff(13632,assumption,(~trans(s199, s25)), introduced(assumption)).
% 2.90/2.37 tff(13633,assumption,(~trans(s199, s62)), introduced(assumption)).
% 2.90/2.37 tff(13634,assumption,(~trans(s199, s166)), introduced(assumption)).
% 2.90/2.37 tff(13635,assumption,(~trans(s199, s17)), introduced(assumption)).
% 2.90/2.37 tff(13636,assumption,(~trans(s199, s9)), introduced(assumption)).
% 2.90/2.37 tff(13637,assumption,(~trans(s199, s73)), introduced(assumption)).
% 2.90/2.37 tff(13638,assumption,(~trans(s199, s92)), introduced(assumption)).
% 2.90/2.37 tff(13639,assumption,(~trans(s199, s49)), introduced(assumption)).
% 2.90/2.37 tff(13640,assumption,(~trans(s199, s168)), introduced(assumption)).
% 2.90/2.37 tff(13641,assumption,(~trans(s199, s78)), introduced(assumption)).
% 2.90/2.37 tff(13642,assumption,(~trans(s199, s152)), introduced(assumption)).
% 2.90/2.37 tff(13643,assumption,(~trans(s199, s103)), introduced(assumption)).
% 2.90/2.37 tff(13644,assumption,(~trans(s199, s111)), introduced(assumption)).
% 2.90/2.37 tff(13645,assumption,(~trans(s199, s58)), introduced(assumption)).
% 2.90/2.37 tff(13646,assumption,(~trans(s199, s18)), introduced(assumption)).
% 2.90/2.37 tff(13647,assumption,(~trans(s199, s14)), introduced(assumption)).
% 2.90/2.37 tff(13648,assumption,(~trans(s199, s109)), introduced(assumption)).
% 2.90/2.37 tff(13649,assumption,(~trans(s199, s126)), introduced(assumption)).
% 2.90/2.37 tff(13650,assumption,(~trans(s199, s13)), introduced(assumption)).
% 2.90/2.37 tff(13651,assumption,(~trans(s199, s39)), introduced(assumption)).
% 2.90/2.37 tff(13652,assumption,(~trans(s199, s2)), introduced(assumption)).
% 2.90/2.37 tff(13653,assumption,(~trans(s199, s136)), introduced(assumption)).
% 2.90/2.37 tff(13654,assumption,(~trans(s199, s87)), introduced(assumption)).
% 2.90/2.38 tff(13655,assumption,(~trans(s199, s50)), introduced(assumption)).
% 2.90/2.38 tff(13656,assumption,(~trans(s199, s117)), introduced(assumption)).
% 2.90/2.38 tff(13657,assumption,(~trans(s199, s135)), introduced(assumption)).
% 2.90/2.38 tff(13658,assumption,(~trans(s199, s83)), introduced(assumption)).
% 2.90/2.38 tff(13659,assumption,(~trans(s199, s100)), introduced(assumption)).
% 2.90/2.38 tff(13660,assumption,(~trans(s199, s141)), introduced(assumption)).
% 2.90/2.38 tff(13661,assumption,(~trans(s199, s154)), introduced(assumption)).
% 2.90/2.38 tff(13662,assumption,(~trans(s199, s36)), introduced(assumption)).
% 2.90/2.38 tff(13663,assumption,(~trans(s199, s171)), introduced(assumption)).
% 2.90/2.38 tff(13664,assumption,(~trans(s199, s61)), introduced(assumption)).
% 2.90/2.38 tff(13665,assumption,(~trans(s199, s63)), introduced(assumption)).
% 2.90/2.38 tff(13666,assumption,(~trans(s199, s175)), introduced(assumption)).
% 2.90/2.38 tff(13667,plain,
% 2.90/2.38 (~xuntil2p8(s184)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8540, 13410])).
% 2.90/2.38 tff(13668,plain,
% 2.90/2.38 (~until2p7(s184)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8580, 13667])).
% 2.90/2.38 tff(13669,assumption,(~until2p7(s184)), introduced(assumption)).
% 2.90/2.38 tff(13670,assumption,(trans(s199, s184)), introduced(assumption)).
% 2.90/2.38 tff(13671,plain,
% 2.90/2.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s184) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s184)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s184) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s184)))),
% 2.90/2.38 inference(rewrite,[status(thm)],[])).
% 2.90/2.38 tff(13672,plain,
% 2.90/2.38 (((~trans(s199, s184)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s184)) <=> (until2p7(s184) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s184)))),
% 2.90/2.38 inference(rewrite,[status(thm)],[])).
% 2.90/2.38 tff(13673,plain,
% 2.90/2.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s184)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s184) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s184))))),
% 2.90/2.38 inference(monotonicity,[status(thm)],[13672])).
% 2.90/2.38 tff(13674,plain,
% 2.90/2.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s184)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s184) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s184)))),
% 2.90/2.38 inference(transitivity,[status(thm)],[13673, 13671])).
% 2.90/2.38 tff(13675,plain,
% 2.90/2.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s184)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s184))),
% 2.90/2.38 inference(quant_inst,[status(thm)],[])).
% 2.90/2.38 tff(13676,plain,
% 2.90/2.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s184) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s184))),
% 2.90/2.38 inference(modus_ponens,[status(thm)],[13675, 13674])).
% 2.90/2.38 tff(13677,plain,
% 2.90/2.38 ($false),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13676, 8279, 13670, 11275, 13669, 11264])).
% 2.90/2.38 tff(13678,plain,((~trans(s199, s184)) | until2p7(s184) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 2.90/2.38 tff(13679,plain,
% 2.90/2.38 (~trans(s199, s184)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13678, 13668, 11264])).
% 2.90/2.38 tff(13680,assumption,(~loop), introduced(assumption)).
% 2.90/2.38 tff(13681,plain,
% 2.90/2.38 (^[X: $i] : refl((loop | (~always3(X)) | (~last(X))) <=> (loop | (~always3(X)) | (~last(X))))),
% 2.90/2.38 inference(bind,[status(th)],[])).
% 2.90/2.38 tff(13682,plain,
% 2.90/2.38 (![X: $i] : (loop | (~always3(X)) | (~last(X))) <=> ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 2.90/2.38 inference(quant_intro,[status(thm)],[13681])).
% 2.90/2.38 tff(13683,plain,
% 2.90/2.38 (![X: $i] : (loop | (~always3(X)) | (~last(X))) <=> ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 2.90/2.38 inference(rewrite,[status(thm)],[])).
% 2.90/2.38 tff(13684,plain,
% 2.90/2.38 (^[X: $i] : rewrite(((loop | (~always3(X))) | (~last(X))) <=> (loop | (~always3(X)) | (~last(X))))),
% 2.90/2.38 inference(bind,[status(th)],[])).
% 2.90/2.38 tff(13685,plain,
% 2.90/2.38 (![X: $i] : ((loop | (~always3(X))) | (~last(X))) <=> ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 2.90/2.38 inference(quant_intro,[status(thm)],[13684])).
% 2.90/2.38 tff(13686,axiom,(![X: $i] : ((loop | (~always3(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty3')).
% 2.90/2.38 tff(13687,plain,
% 2.90/2.38 (![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 2.90/2.38 inference(modus_ponens,[status(thm)],[13686, 13685])).
% 2.90/2.38 tff(13688,plain,
% 2.90/2.38 (![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 2.90/2.38 inference(modus_ponens,[status(thm)],[13687, 13683])).
% 2.90/2.38 tff(13689,plain,(
% 2.90/2.38 ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 2.90/2.38 inference(skolemize,[status(sab)],[13688])).
% 2.90/2.38 tff(13690,plain,
% 2.90/2.38 (![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 2.90/2.38 inference(modus_ponens,[status(thm)],[13689, 13682])).
% 2.90/2.38 tff(13691,plain,
% 2.90/2.38 (((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | (loop | (~always3(s199)) | (~last(s199)))) <=> ((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | loop | (~always3(s199)) | (~last(s199)))),
% 2.90/2.38 inference(rewrite,[status(thm)],[])).
% 2.90/2.38 tff(13692,plain,
% 2.90/2.38 ((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | (loop | (~always3(s199)) | (~last(s199)))),
% 2.90/2.38 inference(quant_inst,[status(thm)],[])).
% 2.90/2.38 tff(13693,plain,
% 2.90/2.38 ((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | loop | (~always3(s199)) | (~last(s199))),
% 2.90/2.38 inference(modus_ponens,[status(thm)],[13692, 13691])).
% 2.90/2.38 tff(13694,plain,
% 2.90/2.38 (loop | (~always3(s199))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13693, 8279, 13690])).
% 2.90/2.38 tff(13695,plain,
% 2.90/2.38 (~always3(s199)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13694, 13680])).
% 2.90/2.38 tff(13696,plain,
% 2.90/2.38 (~always3(s198)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3266, 13695])).
% 2.90/2.38 tff(13697,plain,
% 2.90/2.38 (~node4(s198)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3552, 113, 13696])).
% 2.90/2.38 tff(13698,plain,
% 2.90/2.38 (~node4(s199)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3605, 113, 13695])).
% 2.90/2.38 tff(13699,plain,
% 2.90/2.38 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil6(X))) <=> (loop | (~last(X)) | (~xuntil6(X))))),
% 2.90/2.38 inference(bind,[status(th)],[])).
% 2.90/2.38 tff(13700,plain,
% 2.90/2.38 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 2.90/2.38 inference(quant_intro,[status(thm)],[13699])).
% 2.90/2.38 tff(13701,plain,
% 2.90/2.38 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 2.90/2.38 inference(rewrite,[status(thm)],[])).
% 2.90/2.38 tff(13702,plain,
% 2.90/2.38 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil6(X))) <=> (loop | (~last(X)) | (~xuntil6(X))))),
% 2.90/2.38 inference(bind,[status(th)],[])).
% 2.90/2.38 tff(13703,plain,
% 2.90/2.38 (![X: $i] : ((loop | (~last(X))) | (~xuntil6(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 2.90/2.38 inference(quant_intro,[status(thm)],[13702])).
% 2.90/2.38 tff(13704,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil6(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty8')).
% 2.90/2.38 tff(13705,plain,
% 2.90/2.38 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 2.90/2.38 inference(modus_ponens,[status(thm)],[13704, 13703])).
% 2.90/2.38 tff(13706,plain,
% 2.90/2.38 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 2.90/2.38 inference(modus_ponens,[status(thm)],[13705, 13701])).
% 2.90/2.38 tff(13707,plain,(
% 2.90/2.38 ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 2.90/2.38 inference(skolemize,[status(sab)],[13706])).
% 2.90/2.38 tff(13708,plain,
% 2.90/2.38 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 2.90/2.38 inference(modus_ponens,[status(thm)],[13707, 13700])).
% 2.90/2.38 tff(13709,plain,
% 2.90/2.38 (((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | (loop | (~last(s199)) | (~xuntil6(s199)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | loop | (~last(s199)) | (~xuntil6(s199)))),
% 2.90/2.38 inference(rewrite,[status(thm)],[])).
% 2.90/2.38 tff(13710,plain,
% 2.90/2.38 ((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | (loop | (~last(s199)) | (~xuntil6(s199)))),
% 2.90/2.38 inference(quant_inst,[status(thm)],[])).
% 2.90/2.38 tff(13711,plain,
% 2.90/2.38 ((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | loop | (~last(s199)) | (~xuntil6(s199))),
% 2.90/2.38 inference(modus_ponens,[status(thm)],[13710, 13709])).
% 2.90/2.38 tff(13712,plain,
% 2.90/2.38 (loop | (~xuntil6(s199))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13711, 8279, 13708])).
% 2.90/2.38 tff(13713,plain,
% 2.90/2.38 (~xuntil6(s199)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13712, 13680])).
% 2.90/2.38 tff(13714,plain,
% 2.90/2.38 (~until5(s199)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3601, 225, 13713, 13698])).
% 2.90/2.38 tff(13715,plain,
% 2.90/2.38 (~xuntil6(s198)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3594, 13714])).
% 2.90/2.38 tff(13716,plain,
% 2.90/2.38 (~until5(s198)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3588, 225, 13715, 13697])).
% 2.90/2.38 tff(13717,plain,
% 2.90/2.38 (~xuntil6(s197)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3543, 13716])).
% 2.90/2.38 tff(13718,plain,
% 2.90/2.38 (~always3(s197)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3278, 13696])).
% 2.90/2.38 tff(13719,plain,
% 2.90/2.38 (~node4(s197)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3387, 113, 13718])).
% 2.90/2.38 tff(13720,plain,
% 2.90/2.38 (xuntil6(s197) | (~until5(s197))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3537, 225, 13719])).
% 2.90/2.38 tff(13721,plain,
% 2.90/2.38 (~until5(s197)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13720, 13717])).
% 2.90/2.38 tff(13722,plain,
% 2.90/2.38 (~xuntil6(s196)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3530, 13721])).
% 2.90/2.38 tff(13723,plain,
% 2.90/2.38 (~always3(s196)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3290, 13718])).
% 2.90/2.38 tff(13724,plain,
% 2.90/2.38 (~node4(s196)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3488, 113, 13723])).
% 2.90/2.38 tff(13725,plain,
% 2.90/2.38 (xuntil6(s196) | (~until5(s196))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3524, 225, 13724])).
% 2.90/2.38 tff(13726,plain,
% 2.90/2.38 (~until5(s196)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13725, 13722])).
% 2.90/2.38 tff(13727,plain,
% 2.90/2.38 (~xuntil6(s195)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3479, 13726])).
% 2.90/2.38 tff(13728,plain,
% 2.90/2.38 (~always3(s195)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3302, 13723])).
% 2.90/2.38 tff(13729,plain,
% 2.90/2.38 (~node4(s195)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3472, 113, 13728])).
% 2.90/2.38 tff(13730,plain,
% 2.90/2.38 (xuntil6(s195) | (~until5(s195))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3467, 225, 13729])).
% 2.90/2.38 tff(13731,plain,
% 2.90/2.38 (~until5(s195)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13730, 13727])).
% 2.90/2.38 tff(13732,plain,
% 2.90/2.38 (~xuntil6(s194)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3459, 13731])).
% 2.90/2.38 tff(13733,plain,
% 2.90/2.38 (~always3(s194)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3314, 13728])).
% 2.90/2.38 tff(13734,plain,
% 2.90/2.38 (~node4(s194)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3417, 113, 13733])).
% 2.90/2.38 tff(13735,plain,
% 2.90/2.38 (xuntil6(s194) | (~until5(s194))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3453, 225, 13734])).
% 2.90/2.38 tff(13736,plain,
% 2.90/2.38 (~until5(s194)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13735, 13732])).
% 2.90/2.38 tff(13737,plain,
% 2.90/2.38 (~xuntil6(s193)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3408, 13736])).
% 2.90/2.38 tff(13738,plain,
% 2.90/2.38 (~always3(s193)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3326, 13733])).
% 2.90/2.38 tff(13739,plain,
% 2.90/2.38 (~node4(s193)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3395, 113, 13738])).
% 2.90/2.38 tff(13740,plain,
% 2.90/2.38 (xuntil6(s193) | (~until5(s193))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3402, 225, 13739])).
% 2.90/2.38 tff(13741,plain,
% 2.90/2.38 (~until5(s193)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13740, 13737])).
% 2.90/2.38 tff(13742,plain,
% 2.90/2.38 (~xuntil6(s192)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3612, 13741])).
% 2.90/2.38 tff(13743,plain,
% 2.90/2.38 (~always3(s192)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3338, 13738])).
% 2.90/2.38 tff(13744,plain,
% 2.90/2.38 (~node4(s192)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3621, 113, 13743])).
% 2.90/2.38 tff(13745,plain,
% 2.90/2.38 (xuntil6(s192) | (~until5(s192))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3657, 225, 13744])).
% 2.90/2.38 tff(13746,plain,
% 2.90/2.38 (~until5(s192)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13745, 13742])).
% 2.90/2.38 tff(13747,plain,
% 2.90/2.38 (~xuntil6(s191)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3663, 13746])).
% 2.90/2.38 tff(13748,plain,
% 2.90/2.38 (~always3(s191)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3350, 13743])).
% 2.90/2.38 tff(13749,plain,
% 2.90/2.38 (~node4(s191)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3382, 113, 13748])).
% 2.90/2.38 tff(13750,plain,
% 2.90/2.38 (xuntil6(s191) | (~until5(s191))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3670, 225, 13749])).
% 2.90/2.38 tff(13751,plain,
% 2.90/2.38 (~until5(s191)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13750, 13747])).
% 2.90/2.38 tff(13752,plain,
% 2.90/2.38 (~xuntil6(s190)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3676, 13751])).
% 2.90/2.38 tff(13753,plain,
% 2.90/2.38 (~always3(s190)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3362, 13748])).
% 2.90/2.38 tff(13754,plain,
% 2.90/2.38 (~node4(s190)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3685, 113, 13753])).
% 2.90/2.38 tff(13755,plain,
% 2.90/2.38 (xuntil6(s190) | (~until5(s190))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3721, 225, 13754])).
% 2.90/2.38 tff(13756,plain,
% 2.90/2.38 (~until5(s190)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13755, 13752])).
% 2.90/2.38 tff(13757,plain,
% 2.90/2.38 (~xuntil6(s189)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3727, 13756])).
% 2.90/2.38 tff(13758,plain,
% 2.90/2.38 (~always3(s189)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3374, 13753])).
% 2.90/2.38 tff(13759,plain,
% 2.90/2.38 (~node4(s189)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3378, 113, 13758])).
% 2.90/2.38 tff(13760,plain,
% 2.90/2.38 (xuntil6(s189) | (~until5(s189))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3734, 225, 13759])).
% 2.90/2.38 tff(13761,plain,
% 2.90/2.38 (~until5(s189)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13760, 13757])).
% 2.90/2.38 tff(13762,plain,
% 2.90/2.38 (~xuntil6(s188)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3742, 13761])).
% 2.90/2.38 tff(13763,plain,
% 2.90/2.38 (~always3(s188)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3760, 13758])).
% 2.90/2.38 tff(13764,plain,
% 2.90/2.38 (~node4(s188)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3751, 113, 13763])).
% 2.90/2.38 tff(13765,plain,
% 2.90/2.38 (xuntil6(s188) | (~until5(s188))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3795, 225, 13764])).
% 2.90/2.38 tff(13766,plain,
% 2.90/2.38 (~until5(s188)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13765, 13762])).
% 2.90/2.38 tff(13767,plain,
% 2.90/2.38 (~xuntil6(s187)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8263, 13766])).
% 2.90/2.38 tff(13768,plain,
% 2.90/2.38 (~always3(s187)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3809, 13763])).
% 2.90/2.38 tff(13769,plain,
% 2.90/2.38 (~node4(s187)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8199, 113, 13768])).
% 2.90/2.38 tff(13770,plain,
% 2.90/2.38 (xuntil6(s187) | (~until5(s187))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8207, 225, 13769])).
% 2.90/2.38 tff(13771,plain,
% 2.90/2.38 (~until5(s187)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13770, 13767])).
% 2.90/2.38 tff(13772,plain,
% 2.90/2.38 (~xuntil6(s186)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8213, 13771])).
% 2.90/2.38 tff(13773,plain,
% 2.90/2.38 (~always3(s186)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3821, 13768])).
% 2.90/2.38 tff(13774,plain,
% 2.90/2.38 (~node4(s186)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8195, 113, 13773])).
% 2.90/2.38 tff(13775,plain,
% 2.90/2.38 (xuntil6(s186) | (~until5(s186))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8220, 225, 13774])).
% 2.90/2.38 tff(13776,plain,
% 2.90/2.38 (~until5(s186)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13775, 13772])).
% 2.90/2.38 tff(13777,plain,
% 2.90/2.38 (~xuntil6(s185)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8256, 13776])).
% 2.90/2.38 tff(13778,plain,
% 2.90/2.38 (~always3(s185)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3833, 13773])).
% 2.90/2.38 tff(13779,plain,
% 2.90/2.38 (~node4(s185)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8225, 113, 13778])).
% 2.90/2.38 tff(13780,plain,
% 2.90/2.38 (xuntil6(s185) | (~until5(s185))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8251, 225, 13779])).
% 2.90/2.38 tff(13781,plain,
% 2.90/2.38 (~until5(s185)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13780, 13777])).
% 2.90/2.38 tff(13782,plain,
% 2.90/2.38 (~xuntil6(s184)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8244, 13781])).
% 2.90/2.38 tff(13783,plain,
% 2.90/2.38 (~always3(s184)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3845, 13778])).
% 2.90/2.38 tff(13784,plain,
% 2.90/2.38 (~node4(s184)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8230, 113, 13783])).
% 2.90/2.38 tff(13785,plain,
% 2.90/2.38 (xuntil6(s184) | (~until5(s184))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8238, 225, 13784])).
% 2.90/2.38 tff(13786,plain,
% 2.90/2.38 (~until5(s184)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13785, 13782])).
% 2.90/2.38 tff(13787,plain,
% 2.90/2.38 (~xuntil6(s183)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8189, 13786])).
% 2.90/2.38 tff(13788,plain,
% 2.90/2.38 (~always3(s183)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3857, 13783])).
% 2.90/2.38 tff(13789,plain,
% 2.90/2.38 (~node4(s183)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3861, 113, 13788])).
% 2.90/2.38 tff(13790,plain,
% 2.90/2.38 (xuntil6(s183) | (~until5(s183))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8184, 225, 13789])).
% 2.90/2.38 tff(13791,plain,
% 2.90/2.38 (~until5(s183)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13790, 13787])).
% 2.90/2.38 tff(13792,plain,
% 2.90/2.38 (~xuntil6(s182)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8177, 13791])).
% 2.90/2.38 tff(13793,plain,
% 2.90/2.38 (~always3(s182)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3873, 13788])).
% 2.90/2.38 tff(13794,plain,
% 2.90/2.38 (~node4(s182)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8135, 113, 13793])).
% 2.90/2.38 tff(13795,plain,
% 2.90/2.38 (xuntil6(s182) | (~until5(s182))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8171, 225, 13794])).
% 2.90/2.38 tff(13796,plain,
% 2.90/2.38 (~until5(s182)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13795, 13792])).
% 2.90/2.38 tff(13797,plain,
% 2.90/2.38 (~xuntil6(s181)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8126, 13796])).
% 2.90/2.38 tff(13798,plain,
% 2.90/2.38 (~always3(s181)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3885, 13793])).
% 2.90/2.38 tff(13799,plain,
% 2.90/2.38 (~node4(s181)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3889, 113, 13798])).
% 2.90/2.38 tff(13800,plain,
% 2.90/2.38 (xuntil6(s181) | (~until5(s181))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8120, 225, 13799])).
% 2.90/2.38 tff(13801,plain,
% 2.90/2.38 (~until5(s181)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13800, 13797])).
% 2.90/2.38 tff(13802,plain,
% 2.90/2.38 (~xuntil6(s180)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8113, 13801])).
% 2.90/2.38 tff(13803,plain,
% 2.90/2.38 (~always3(s180)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3901, 13798])).
% 2.90/2.38 tff(13804,plain,
% 2.90/2.38 (~node4(s180)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8013, 113, 13803])).
% 2.90/2.38 tff(13805,plain,
% 2.90/2.38 (xuntil6(s180) | (~until5(s180))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8021, 225, 13804])).
% 2.90/2.38 tff(13806,plain,
% 2.90/2.38 (~until5(s180)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13805, 13802])).
% 2.90/2.38 tff(13807,plain,
% 2.90/2.38 (~xuntil6(s179)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8027, 13806])).
% 2.90/2.38 tff(13808,plain,
% 2.90/2.38 (~always3(s179)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3913, 13803])).
% 2.90/2.38 tff(13809,plain,
% 2.90/2.38 (~node4(s179)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8009, 113, 13808])).
% 2.90/2.38 tff(13810,plain,
% 2.90/2.38 (xuntil6(s179) | (~until5(s179))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8034, 225, 13809])).
% 2.90/2.38 tff(13811,plain,
% 2.90/2.38 (~until5(s179)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13810, 13807])).
% 2.90/2.38 tff(13812,plain,
% 2.90/2.38 (~xuntil6(s178)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8039, 13811])).
% 2.90/2.38 tff(13813,plain,
% 2.90/2.38 (~always3(s178)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3925, 13808])).
% 2.90/2.38 tff(13814,plain,
% 2.90/2.38 (~node4(s178)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8044, 113, 13813])).
% 2.90/2.38 tff(13815,plain,
% 2.90/2.38 (xuntil6(s178) | (~until5(s178))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8051, 225, 13814])).
% 2.90/2.38 tff(13816,plain,
% 2.90/2.38 (~until5(s178)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13815, 13812])).
% 2.90/2.38 tff(13817,plain,
% 2.90/2.38 (~xuntil6(s177)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8106, 13816])).
% 2.90/2.38 tff(13818,plain,
% 2.90/2.38 (~always3(s177)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3937, 13813])).
% 2.90/2.38 tff(13819,plain,
% 2.90/2.38 (~node4(s177)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8093, 113, 13818])).
% 2.90/2.38 tff(13820,plain,
% 2.90/2.38 (xuntil6(s177) | (~until5(s177))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8100, 225, 13819])).
% 2.90/2.38 tff(13821,plain,
% 2.90/2.38 (~until5(s177)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13820, 13817])).
% 2.90/2.38 tff(13822,plain,
% 2.90/2.38 (~xuntil6(s176)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8089, 13821])).
% 2.90/2.38 tff(13823,plain,
% 2.90/2.38 (~always3(s176)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3949, 13818])).
% 2.90/2.38 tff(13824,plain,
% 2.90/2.38 (~node4(s176)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8058, 113, 13823])).
% 2.90/2.38 tff(13825,plain,
% 2.90/2.38 (xuntil6(s176) | (~until5(s176))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8084, 225, 13824])).
% 2.90/2.38 tff(13826,plain,
% 2.90/2.38 (~until5(s176)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13825, 13822])).
% 2.90/2.38 tff(13827,plain,
% 2.90/2.38 (~xuntil6(s175)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8077, 13826])).
% 2.90/2.38 tff(13828,plain,
% 2.90/2.38 (~always3(s175)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3961, 13823])).
% 2.90/2.38 tff(13829,plain,
% 2.90/2.38 (~node4(s175)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8063, 113, 13828])).
% 2.90/2.38 tff(13830,plain,
% 2.90/2.38 (xuntil6(s175) | (~until5(s175))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8071, 225, 13829])).
% 2.90/2.38 tff(13831,plain,
% 2.90/2.38 (~until5(s175)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13830, 13827])).
% 2.90/2.38 tff(13832,plain,
% 2.90/2.38 (~xuntil6(s174)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[8003, 13831])).
% 2.90/2.38 tff(13833,plain,
% 2.90/2.38 (~always3(s174)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3973, 13828])).
% 2.90/2.38 tff(13834,plain,
% 2.90/2.38 (~node4(s174)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4342, 113, 13833])).
% 2.90/2.38 tff(13835,plain,
% 2.90/2.38 (xuntil6(s174) | (~until5(s174))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4350, 225, 13834])).
% 2.90/2.38 tff(13836,plain,
% 2.90/2.38 (~until5(s174)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13835, 13832])).
% 2.90/2.38 tff(13837,plain,
% 2.90/2.38 (~xuntil6(s173)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4356, 13836])).
% 2.90/2.38 tff(13838,plain,
% 2.90/2.38 (~always3(s173)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3986, 13833])).
% 2.90/2.38 tff(13839,plain,
% 2.90/2.38 (~node4(s173)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4366, 113, 13838])).
% 2.90/2.38 tff(13840,plain,
% 2.90/2.38 (xuntil6(s173) | (~until5(s173))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4374, 225, 13839])).
% 2.90/2.38 tff(13841,plain,
% 2.90/2.38 (~until5(s173)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13840, 13837])).
% 2.90/2.38 tff(13842,plain,
% 2.90/2.38 (~xuntil6(s172)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4380, 13841])).
% 2.90/2.38 tff(13843,plain,
% 2.90/2.38 (~always3(s172)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3998, 13838])).
% 2.90/2.38 tff(13844,plain,
% 2.90/2.38 (~node4(s172)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4362, 113, 13843])).
% 2.90/2.38 tff(13845,plain,
% 2.90/2.38 (xuntil6(s172) | (~until5(s172))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4387, 225, 13844])).
% 2.90/2.38 tff(13846,plain,
% 2.90/2.38 (~until5(s172)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13845, 13842])).
% 2.90/2.38 tff(13847,plain,
% 2.90/2.38 (~xuntil6(s171)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4392, 13846])).
% 2.90/2.38 tff(13848,plain,
% 2.90/2.38 (~always3(s171)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4010, 13843])).
% 2.90/2.38 tff(13849,plain,
% 2.90/2.38 (~node4(s171)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4397, 113, 13848])).
% 2.90/2.38 tff(13850,plain,
% 2.90/2.38 (xuntil6(s171) | (~until5(s171))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4404, 225, 13849])).
% 2.90/2.38 tff(13851,plain,
% 2.90/2.38 (~until5(s171)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13850, 13847])).
% 2.90/2.38 tff(13852,plain,
% 2.90/2.38 (~xuntil6(s170)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4410, 13851])).
% 2.90/2.38 tff(13853,plain,
% 2.90/2.38 (~always3(s170)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4022, 13848])).
% 2.90/2.38 tff(13854,plain,
% 2.90/2.38 (~node4(s170)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4415, 113, 13853])).
% 2.90/2.38 tff(13855,plain,
% 2.90/2.38 (xuntil6(s170) | (~until5(s170))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4422, 225, 13854])).
% 2.90/2.38 tff(13856,plain,
% 2.90/2.38 (~until5(s170)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13855, 13852])).
% 2.90/2.38 tff(13857,plain,
% 2.90/2.38 (~xuntil6(s169)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4428, 13856])).
% 2.90/2.38 tff(13858,plain,
% 2.90/2.38 (~always3(s169)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4034, 13853])).
% 2.90/2.38 tff(13859,plain,
% 2.90/2.38 (~node4(s169)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4433, 113, 13858])).
% 2.90/2.38 tff(13860,plain,
% 2.90/2.38 (xuntil6(s169) | (~until5(s169))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4440, 225, 13859])).
% 2.90/2.38 tff(13861,plain,
% 2.90/2.38 (~until5(s169)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13860, 13857])).
% 2.90/2.38 tff(13862,plain,
% 2.90/2.38 (~xuntil6(s168)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4531, 13861])).
% 2.90/2.38 tff(13863,plain,
% 2.90/2.38 (~always3(s168)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4046, 13858])).
% 2.90/2.38 tff(13864,plain,
% 2.90/2.38 (~node4(s168)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4518, 113, 13863])).
% 2.90/2.38 tff(13865,plain,
% 2.90/2.38 (xuntil6(s168) | (~until5(s168))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4525, 225, 13864])).
% 2.90/2.38 tff(13866,plain,
% 2.90/2.38 (~until5(s168)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13865, 13862])).
% 2.90/2.38 tff(13867,plain,
% 2.90/2.38 (~xuntil6(s167)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4514, 13866])).
% 2.90/2.38 tff(13868,plain,
% 2.90/2.38 (~always3(s167)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4058, 13863])).
% 2.90/2.38 tff(13869,plain,
% 2.90/2.38 (~node4(s167)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4501, 113, 13868])).
% 2.90/2.38 tff(13870,plain,
% 2.90/2.38 (xuntil6(s167) | (~until5(s167))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4508, 225, 13869])).
% 2.90/2.38 tff(13871,plain,
% 2.90/2.38 (~until5(s167)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13870, 13867])).
% 2.90/2.38 tff(13872,plain,
% 2.90/2.38 (~xuntil6(s166)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4497, 13871])).
% 2.90/2.38 tff(13873,plain,
% 2.90/2.38 (~always3(s166)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4070, 13868])).
% 2.90/2.38 tff(13874,plain,
% 2.90/2.38 (~node4(s166)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4484, 113, 13873])).
% 2.90/2.38 tff(13875,plain,
% 2.90/2.38 (xuntil6(s166) | (~until5(s166))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4491, 225, 13874])).
% 2.90/2.38 tff(13876,plain,
% 2.90/2.38 (~until5(s166)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13875, 13872])).
% 2.90/2.38 tff(13877,plain,
% 2.90/2.38 (~xuntil6(s165)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4480, 13876])).
% 2.90/2.38 tff(13878,plain,
% 2.90/2.38 (~always3(s165)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4082, 13873])).
% 2.90/2.38 tff(13879,plain,
% 2.90/2.38 (~node4(s165)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4449, 113, 13878])).
% 2.90/2.38 tff(13880,plain,
% 2.90/2.38 (xuntil6(s165) | (~until5(s165))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4475, 225, 13879])).
% 2.90/2.38 tff(13881,plain,
% 2.90/2.38 (~until5(s165)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13880, 13877])).
% 2.90/2.38 tff(13882,plain,
% 2.90/2.38 (~xuntil6(s164)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4468, 13881])).
% 2.90/2.38 tff(13883,plain,
% 2.90/2.38 (~always3(s164)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4094, 13878])).
% 2.90/2.38 tff(13884,plain,
% 2.90/2.38 (~node4(s164)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4454, 113, 13883])).
% 2.90/2.38 tff(13885,plain,
% 2.90/2.38 (xuntil6(s164) | (~until5(s164))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4462, 225, 13884])).
% 2.90/2.38 tff(13886,plain,
% 2.90/2.38 (~until5(s164)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13885, 13882])).
% 2.90/2.38 tff(13887,plain,
% 2.90/2.38 (~xuntil6(s163)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4538, 13886])).
% 2.90/2.38 tff(13888,plain,
% 2.90/2.38 (~always3(s163)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4106, 13883])).
% 2.90/2.38 tff(13889,plain,
% 2.90/2.38 (~node4(s163)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4338, 113, 13888])).
% 2.90/2.38 tff(13890,plain,
% 2.90/2.38 (xuntil6(s163) | (~until5(s163))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4545, 225, 13889])).
% 2.90/2.38 tff(13891,plain,
% 2.90/2.38 (~until5(s163)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13890, 13887])).
% 2.90/2.38 tff(13892,plain,
% 2.90/2.38 (~xuntil6(s162)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4550, 13891])).
% 2.90/2.38 tff(13893,plain,
% 2.90/2.38 (~always3(s162)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4118, 13888])).
% 2.90/2.38 tff(13894,plain,
% 2.90/2.38 (~node4(s162)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4559, 113, 13893])).
% 2.90/2.38 tff(13895,plain,
% 2.90/2.38 (xuntil6(s162) | (~until5(s162))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4595, 225, 13894])).
% 2.90/2.38 tff(13896,plain,
% 2.90/2.38 (~until5(s162)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13895, 13892])).
% 2.90/2.38 tff(13897,plain,
% 2.90/2.38 (~xuntil6(s161)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4601, 13896])).
% 2.90/2.38 tff(13898,plain,
% 2.90/2.38 (~always3(s161)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4130, 13893])).
% 2.90/2.38 tff(13899,plain,
% 2.90/2.38 (~node4(s161)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4611, 113, 13898])).
% 2.90/2.38 tff(13900,plain,
% 2.90/2.38 (xuntil6(s161) | (~until5(s161))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4619, 225, 13899])).
% 2.90/2.38 tff(13901,plain,
% 2.90/2.38 (~until5(s161)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13900, 13897])).
% 2.90/2.38 tff(13902,plain,
% 2.90/2.38 (~xuntil6(s160)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4625, 13901])).
% 2.90/2.38 tff(13903,plain,
% 2.90/2.38 (~always3(s160)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4142, 13898])).
% 2.90/2.38 tff(13904,plain,
% 2.90/2.38 (~node4(s160)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4607, 113, 13903])).
% 2.90/2.38 tff(13905,plain,
% 2.90/2.38 (xuntil6(s160) | (~until5(s160))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4632, 225, 13904])).
% 2.90/2.38 tff(13906,plain,
% 2.90/2.38 (~until5(s160)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13905, 13902])).
% 2.90/2.38 tff(13907,plain,
% 2.90/2.38 (~xuntil6(s159)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4637, 13906])).
% 2.90/2.38 tff(13908,plain,
% 2.90/2.38 (~always3(s159)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4154, 13903])).
% 2.90/2.38 tff(13909,plain,
% 2.90/2.38 (~node4(s159)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4642, 113, 13908])).
% 2.90/2.38 tff(13910,plain,
% 2.90/2.38 (xuntil6(s159) | (~until5(s159))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4649, 225, 13909])).
% 2.90/2.38 tff(13911,plain,
% 2.90/2.38 (~until5(s159)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13910, 13907])).
% 2.90/2.38 tff(13912,plain,
% 2.90/2.38 (~xuntil6(s158)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4655, 13911])).
% 2.90/2.38 tff(13913,plain,
% 2.90/2.38 (~always3(s158)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4166, 13908])).
% 2.90/2.38 tff(13914,plain,
% 2.90/2.38 (~node4(s158)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4660, 113, 13913])).
% 2.90/2.38 tff(13915,plain,
% 2.90/2.38 (xuntil6(s158) | (~until5(s158))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4667, 225, 13914])).
% 2.90/2.38 tff(13916,plain,
% 2.90/2.38 (~until5(s158)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13915, 13912])).
% 2.90/2.38 tff(13917,plain,
% 2.90/2.38 (~xuntil6(s157)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4673, 13916])).
% 2.90/2.38 tff(13918,plain,
% 2.90/2.38 (~always3(s157)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4178, 13913])).
% 2.90/2.38 tff(13919,plain,
% 2.90/2.38 (~node4(s157)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4678, 113, 13918])).
% 2.90/2.38 tff(13920,plain,
% 2.90/2.38 (xuntil6(s157) | (~until5(s157))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4685, 225, 13919])).
% 2.90/2.38 tff(13921,plain,
% 2.90/2.38 (~until5(s157)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13920, 13917])).
% 2.90/2.38 tff(13922,plain,
% 2.90/2.38 (~xuntil6(s156)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4776, 13921])).
% 2.90/2.38 tff(13923,plain,
% 2.90/2.38 (~always3(s156)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4190, 13918])).
% 2.90/2.38 tff(13924,plain,
% 2.90/2.38 (~node4(s156)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4763, 113, 13923])).
% 2.90/2.38 tff(13925,plain,
% 2.90/2.38 (xuntil6(s156) | (~until5(s156))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4770, 225, 13924])).
% 2.90/2.38 tff(13926,plain,
% 2.90/2.38 (~until5(s156)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13925, 13922])).
% 2.90/2.38 tff(13927,plain,
% 2.90/2.38 (~xuntil6(s155)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4759, 13926])).
% 2.90/2.38 tff(13928,plain,
% 2.90/2.38 (~always3(s155)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4202, 13923])).
% 2.90/2.38 tff(13929,plain,
% 2.90/2.38 (~node4(s155)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4746, 113, 13928])).
% 2.90/2.38 tff(13930,plain,
% 2.90/2.38 (xuntil6(s155) | (~until5(s155))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4753, 225, 13929])).
% 2.90/2.38 tff(13931,plain,
% 2.90/2.38 (~until5(s155)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13930, 13927])).
% 2.90/2.38 tff(13932,plain,
% 2.90/2.38 (~xuntil6(s154)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4742, 13931])).
% 2.90/2.38 tff(13933,plain,
% 2.90/2.38 (~always3(s154)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4214, 13928])).
% 2.90/2.38 tff(13934,plain,
% 2.90/2.38 (~node4(s154)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4729, 113, 13933])).
% 2.90/2.38 tff(13935,plain,
% 2.90/2.38 (xuntil6(s154) | (~until5(s154))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4736, 225, 13934])).
% 2.90/2.38 tff(13936,plain,
% 2.90/2.38 (~until5(s154)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13935, 13932])).
% 2.90/2.38 tff(13937,plain,
% 2.90/2.38 (~xuntil6(s153)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4725, 13936])).
% 2.90/2.38 tff(13938,plain,
% 2.90/2.38 (~always3(s153)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4226, 13933])).
% 2.90/2.38 tff(13939,plain,
% 2.90/2.38 (~node4(s153)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4694, 113, 13938])).
% 2.90/2.38 tff(13940,plain,
% 2.90/2.38 (xuntil6(s153) | (~until5(s153))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4720, 225, 13939])).
% 2.90/2.38 tff(13941,plain,
% 2.90/2.38 (~until5(s153)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13940, 13937])).
% 2.90/2.38 tff(13942,plain,
% 2.90/2.38 (~xuntil6(s152)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4713, 13941])).
% 2.90/2.38 tff(13943,plain,
% 2.90/2.38 (~always3(s152)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4238, 13938])).
% 2.90/2.38 tff(13944,plain,
% 2.90/2.38 (~node4(s152)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4699, 113, 13943])).
% 2.90/2.38 tff(13945,plain,
% 2.90/2.38 (xuntil6(s152) | (~until5(s152))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4707, 225, 13944])).
% 2.90/2.38 tff(13946,plain,
% 2.90/2.38 (~until5(s152)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13945, 13942])).
% 2.90/2.38 tff(13947,plain,
% 2.90/2.38 (~xuntil6(s151)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4783, 13946])).
% 2.90/2.38 tff(13948,plain,
% 2.90/2.38 (~always3(s151)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4250, 13943])).
% 2.90/2.38 tff(13949,plain,
% 2.90/2.38 (~node4(s151)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4787, 113, 13948])).
% 2.90/2.38 tff(13950,plain,
% 2.90/2.38 (xuntil6(s151) | (~until5(s151))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4794, 225, 13949])).
% 2.90/2.38 tff(13951,plain,
% 2.90/2.38 (~until5(s151)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13950, 13947])).
% 2.90/2.38 tff(13952,plain,
% 2.90/2.38 (~xuntil6(s150)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4800, 13951])).
% 2.90/2.38 tff(13953,plain,
% 2.90/2.38 (~always3(s150)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4262, 13948])).
% 2.90/2.38 tff(13954,plain,
% 2.90/2.38 (~node4(s150)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4810, 113, 13953])).
% 2.90/2.38 tff(13955,plain,
% 2.90/2.38 (xuntil6(s150) | (~until5(s150))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4818, 225, 13954])).
% 2.90/2.38 tff(13956,plain,
% 2.90/2.38 (~until5(s150)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13955, 13952])).
% 2.90/2.38 tff(13957,plain,
% 2.90/2.38 (~xuntil6(s149)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4824, 13956])).
% 2.90/2.38 tff(13958,plain,
% 2.90/2.38 (~always3(s149)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4274, 13953])).
% 2.90/2.38 tff(13959,plain,
% 2.90/2.38 (~node4(s149)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4806, 113, 13958])).
% 2.90/2.38 tff(13960,plain,
% 2.90/2.38 (xuntil6(s149) | (~until5(s149))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4850, 225, 13959])).
% 2.90/2.38 tff(13961,plain,
% 2.90/2.38 (~until5(s149)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13960, 13957])).
% 2.90/2.38 tff(13962,plain,
% 2.90/2.38 (~xuntil6(s148)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4843, 13961])).
% 2.90/2.38 tff(13963,plain,
% 2.90/2.38 (~always3(s148)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4286, 13958])).
% 2.90/2.38 tff(13964,plain,
% 2.90/2.38 (~node4(s148)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4829, 113, 13963])).
% 2.90/2.38 tff(13965,plain,
% 2.90/2.38 (xuntil6(s148) | (~until5(s148))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4837, 225, 13964])).
% 2.90/2.38 tff(13966,plain,
% 2.90/2.38 (~until5(s148)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13965, 13962])).
% 2.90/2.38 tff(13967,plain,
% 2.90/2.38 (~xuntil6(s147)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4857, 13966])).
% 2.90/2.38 tff(13968,plain,
% 2.90/2.38 (~always3(s147)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4298, 13963])).
% 2.90/2.38 tff(13969,plain,
% 2.90/2.38 (~node4(s147)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4861, 113, 13968])).
% 2.90/2.38 tff(13970,plain,
% 2.90/2.38 (xuntil6(s147) | (~until5(s147))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4868, 225, 13969])).
% 2.90/2.38 tff(13971,plain,
% 2.90/2.38 (~until5(s147)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13970, 13967])).
% 2.90/2.38 tff(13972,plain,
% 2.90/2.38 (~xuntil6(s146)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4874, 13971])).
% 2.90/2.38 tff(13973,plain,
% 2.90/2.38 (~always3(s146)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4310, 13968])).
% 2.90/2.38 tff(13974,plain,
% 2.90/2.38 (~node4(s146)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4883, 113, 13973])).
% 2.90/2.38 tff(13975,plain,
% 2.90/2.38 (xuntil6(s146) | (~until5(s146))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4919, 225, 13974])).
% 2.90/2.38 tff(13976,plain,
% 2.90/2.38 (~until5(s146)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13975, 13972])).
% 2.90/2.38 tff(13977,plain,
% 2.90/2.38 (~xuntil6(s145)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4925, 13976])).
% 2.90/2.38 tff(13978,plain,
% 2.90/2.38 (~always3(s145)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4322, 13973])).
% 2.90/2.38 tff(13979,plain,
% 2.90/2.38 (~node4(s145)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4929, 113, 13978])).
% 2.90/2.38 tff(13980,plain,
% 2.90/2.38 (xuntil6(s145) | (~until5(s145))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4936, 225, 13979])).
% 2.90/2.38 tff(13981,plain,
% 2.90/2.38 (~until5(s145)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13980, 13977])).
% 2.90/2.38 tff(13982,plain,
% 2.90/2.38 (~xuntil6(s144)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4942, 13981])).
% 2.90/2.38 tff(13983,plain,
% 2.90/2.38 (~always3(s144)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4334, 13978])).
% 2.90/2.38 tff(13984,plain,
% 2.90/2.38 (~node4(s144)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4947, 113, 13983])).
% 2.90/2.38 tff(13985,plain,
% 2.90/2.38 (xuntil6(s144) | (~until5(s144))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4955, 225, 13984])).
% 2.90/2.38 tff(13986,plain,
% 2.90/2.38 (~until5(s144)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13985, 13982])).
% 2.90/2.38 tff(13987,plain,
% 2.90/2.38 (~xuntil6(s143)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4986, 13986])).
% 2.90/2.38 tff(13988,plain,
% 2.90/2.38 (~always3(s143)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4968, 13983])).
% 2.90/2.38 tff(13989,plain,
% 2.90/2.38 (~node4(s143)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4972, 113, 13988])).
% 2.90/2.38 tff(13990,plain,
% 2.90/2.38 (xuntil6(s143) | (~until5(s143))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4980, 225, 13989])).
% 2.90/2.38 tff(13991,plain,
% 2.90/2.38 (~until5(s143)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13990, 13987])).
% 2.90/2.38 tff(13992,plain,
% 2.90/2.38 (~xuntil6(s142)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[4996, 13991])).
% 2.90/2.38 tff(13993,plain,
% 2.90/2.38 (~always3(s142)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5006, 13988])).
% 2.90/2.38 tff(13994,plain,
% 2.90/2.38 (~node4(s142)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5010, 113, 13993])).
% 2.90/2.38 tff(13995,plain,
% 2.90/2.38 (xuntil6(s142) | (~until5(s142))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5017, 225, 13994])).
% 2.90/2.38 tff(13996,plain,
% 2.90/2.38 (~until5(s142)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[13995, 13992])).
% 2.90/2.38 tff(13997,plain,
% 2.90/2.38 (~xuntil6(s141)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5026, 13996])).
% 2.90/2.38 tff(13998,plain,
% 2.90/2.38 (~always3(s141)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5035, 13993])).
% 2.90/2.38 tff(13999,plain,
% 2.90/2.38 (~node4(s141)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5039, 113, 13998])).
% 2.90/2.38 tff(14000,plain,
% 2.90/2.38 (xuntil6(s141) | (~until5(s141))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5046, 225, 13999])).
% 2.90/2.38 tff(14001,plain,
% 2.90/2.38 (~until5(s141)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14000, 13997])).
% 2.90/2.38 tff(14002,plain,
% 2.90/2.38 (~xuntil6(s140)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5055, 14001])).
% 2.90/2.38 tff(14003,plain,
% 2.90/2.38 (~always3(s140)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5064, 13998])).
% 2.90/2.38 tff(14004,plain,
% 2.90/2.38 (~node4(s140)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5068, 113, 14003])).
% 2.90/2.38 tff(14005,plain,
% 2.90/2.38 (xuntil6(s140) | (~until5(s140))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5075, 225, 14004])).
% 2.90/2.38 tff(14006,plain,
% 2.90/2.38 (~until5(s140)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14005, 14002])).
% 2.90/2.38 tff(14007,plain,
% 2.90/2.38 (~xuntil6(s139)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5084, 14006])).
% 2.90/2.38 tff(14008,plain,
% 2.90/2.38 (~always3(s139)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5093, 14003])).
% 2.90/2.38 tff(14009,plain,
% 2.90/2.38 (~node4(s139)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5097, 113, 14008])).
% 2.90/2.38 tff(14010,plain,
% 2.90/2.38 (xuntil6(s139) | (~until5(s139))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5104, 225, 14009])).
% 2.90/2.38 tff(14011,plain,
% 2.90/2.38 (~until5(s139)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14010, 14007])).
% 2.90/2.38 tff(14012,plain,
% 2.90/2.38 (~xuntil6(s138)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5113, 14011])).
% 2.90/2.38 tff(14013,plain,
% 2.90/2.38 (~always3(s138)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5122, 14008])).
% 2.90/2.38 tff(14014,plain,
% 2.90/2.38 (~node4(s138)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5126, 113, 14013])).
% 2.90/2.38 tff(14015,plain,
% 2.90/2.38 (xuntil6(s138) | (~until5(s138))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5133, 225, 14014])).
% 2.90/2.38 tff(14016,plain,
% 2.90/2.38 (~until5(s138)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14015, 14012])).
% 2.90/2.38 tff(14017,plain,
% 2.90/2.38 (~xuntil6(s137)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5142, 14016])).
% 2.90/2.38 tff(14018,plain,
% 2.90/2.38 (~always3(s137)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5151, 14013])).
% 2.90/2.38 tff(14019,plain,
% 2.90/2.38 (~node4(s137)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5155, 113, 14018])).
% 2.90/2.38 tff(14020,plain,
% 2.90/2.38 (xuntil6(s137) | (~until5(s137))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5162, 225, 14019])).
% 2.90/2.38 tff(14021,plain,
% 2.90/2.38 (~until5(s137)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14020, 14017])).
% 2.90/2.38 tff(14022,plain,
% 2.90/2.38 (~xuntil6(s136)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5171, 14021])).
% 2.90/2.38 tff(14023,plain,
% 2.90/2.38 (~always3(s136)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5180, 14018])).
% 2.90/2.38 tff(14024,plain,
% 2.90/2.38 (~node4(s136)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5184, 113, 14023])).
% 2.90/2.38 tff(14025,plain,
% 2.90/2.38 (xuntil6(s136) | (~until5(s136))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5191, 225, 14024])).
% 2.90/2.38 tff(14026,plain,
% 2.90/2.38 (~until5(s136)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14025, 14022])).
% 2.90/2.38 tff(14027,plain,
% 2.90/2.38 (~xuntil6(s135)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5200, 14026])).
% 2.90/2.38 tff(14028,plain,
% 2.90/2.38 (~always3(s135)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5209, 14023])).
% 2.90/2.38 tff(14029,plain,
% 2.90/2.38 (~node4(s135)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5213, 113, 14028])).
% 2.90/2.38 tff(14030,plain,
% 2.90/2.38 (xuntil6(s135) | (~until5(s135))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5220, 225, 14029])).
% 2.90/2.38 tff(14031,plain,
% 2.90/2.38 (~until5(s135)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14030, 14027])).
% 2.90/2.38 tff(14032,plain,
% 2.90/2.38 (~xuntil6(s134)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5229, 14031])).
% 2.90/2.38 tff(14033,plain,
% 2.90/2.38 (~always3(s134)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5238, 14028])).
% 2.90/2.38 tff(14034,plain,
% 2.90/2.38 (~node4(s134)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5242, 113, 14033])).
% 2.90/2.38 tff(14035,plain,
% 2.90/2.38 (xuntil6(s134) | (~until5(s134))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5249, 225, 14034])).
% 2.90/2.38 tff(14036,plain,
% 2.90/2.38 (~until5(s134)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14035, 14032])).
% 2.90/2.38 tff(14037,plain,
% 2.90/2.38 (~xuntil6(s133)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5258, 14036])).
% 2.90/2.38 tff(14038,plain,
% 2.90/2.38 (~always3(s133)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5267, 14033])).
% 2.90/2.38 tff(14039,plain,
% 2.90/2.38 (~node4(s133)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5271, 113, 14038])).
% 2.90/2.38 tff(14040,plain,
% 2.90/2.38 (xuntil6(s133) | (~until5(s133))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5278, 225, 14039])).
% 2.90/2.38 tff(14041,plain,
% 2.90/2.38 (~until5(s133)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14040, 14037])).
% 2.90/2.38 tff(14042,plain,
% 2.90/2.38 (~xuntil6(s132)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5287, 14041])).
% 2.90/2.38 tff(14043,plain,
% 2.90/2.38 (~always3(s132)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5296, 14038])).
% 2.90/2.38 tff(14044,plain,
% 2.90/2.38 (~node4(s132)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5300, 113, 14043])).
% 2.90/2.38 tff(14045,plain,
% 2.90/2.38 (xuntil6(s132) | (~until5(s132))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5307, 225, 14044])).
% 2.90/2.38 tff(14046,plain,
% 2.90/2.38 (~until5(s132)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14045, 14042])).
% 2.90/2.38 tff(14047,plain,
% 2.90/2.38 (~xuntil6(s131)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5316, 14046])).
% 2.90/2.38 tff(14048,plain,
% 2.90/2.38 (~always3(s131)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5325, 14043])).
% 2.90/2.38 tff(14049,plain,
% 2.90/2.38 (~node4(s131)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5329, 113, 14048])).
% 2.90/2.38 tff(14050,plain,
% 2.90/2.38 (xuntil6(s131) | (~until5(s131))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5336, 225, 14049])).
% 2.90/2.38 tff(14051,plain,
% 2.90/2.38 (~until5(s131)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14050, 14047])).
% 2.90/2.38 tff(14052,plain,
% 2.90/2.38 (~xuntil6(s130)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5345, 14051])).
% 2.90/2.38 tff(14053,plain,
% 2.90/2.38 (~always3(s130)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5354, 14048])).
% 2.90/2.38 tff(14054,plain,
% 2.90/2.38 (~node4(s130)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5358, 113, 14053])).
% 2.90/2.38 tff(14055,plain,
% 2.90/2.38 (xuntil6(s130) | (~until5(s130))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5365, 225, 14054])).
% 2.90/2.38 tff(14056,plain,
% 2.90/2.38 (~until5(s130)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14055, 14052])).
% 2.90/2.38 tff(14057,plain,
% 2.90/2.38 (~xuntil6(s129)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5374, 14056])).
% 2.90/2.38 tff(14058,plain,
% 2.90/2.38 (~always3(s129)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5383, 14053])).
% 2.90/2.38 tff(14059,plain,
% 2.90/2.38 (~node4(s129)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5387, 113, 14058])).
% 2.90/2.38 tff(14060,plain,
% 2.90/2.38 (xuntil6(s129) | (~until5(s129))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5394, 225, 14059])).
% 2.90/2.38 tff(14061,plain,
% 2.90/2.38 (~until5(s129)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14060, 14057])).
% 2.90/2.38 tff(14062,plain,
% 2.90/2.38 (~xuntil6(s128)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5403, 14061])).
% 2.90/2.38 tff(14063,plain,
% 2.90/2.38 (~always3(s128)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5412, 14058])).
% 2.90/2.38 tff(14064,plain,
% 2.90/2.38 (~node4(s128)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5416, 113, 14063])).
% 2.90/2.38 tff(14065,plain,
% 2.90/2.38 (xuntil6(s128) | (~until5(s128))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5423, 225, 14064])).
% 2.90/2.38 tff(14066,plain,
% 2.90/2.38 (~until5(s128)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14065, 14062])).
% 2.90/2.38 tff(14067,plain,
% 2.90/2.38 (~xuntil6(s127)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7996, 14066])).
% 2.90/2.38 tff(14068,plain,
% 2.90/2.38 (~always3(s127)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5436, 14063])).
% 2.90/2.38 tff(14069,plain,
% 2.90/2.38 (~node4(s127)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7983, 113, 14068])).
% 2.90/2.38 tff(14070,plain,
% 2.90/2.38 (xuntil6(s127) | (~until5(s127))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7990, 225, 14069])).
% 2.90/2.38 tff(14071,plain,
% 2.90/2.38 (~until5(s127)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14070, 14067])).
% 2.90/2.38 tff(14072,plain,
% 2.90/2.38 (~xuntil6(s126)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7979, 14071])).
% 2.90/2.38 tff(14073,plain,
% 2.90/2.38 (~always3(s126)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5448, 14068])).
% 2.90/2.38 tff(14074,plain,
% 2.90/2.38 (~node4(s126)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7966, 113, 14073])).
% 2.90/2.38 tff(14075,plain,
% 2.90/2.38 (xuntil6(s126) | (~until5(s126))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7973, 225, 14074])).
% 2.90/2.38 tff(14076,plain,
% 2.90/2.38 (~until5(s126)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14075, 14072])).
% 2.90/2.38 tff(14077,plain,
% 2.90/2.38 (~xuntil6(s125)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7962, 14076])).
% 2.90/2.38 tff(14078,plain,
% 2.90/2.38 (~always3(s125)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5460, 14073])).
% 2.90/2.38 tff(14079,plain,
% 2.90/2.38 (~node4(s125)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7949, 113, 14078])).
% 2.90/2.38 tff(14080,plain,
% 2.90/2.38 (xuntil6(s125) | (~until5(s125))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7956, 225, 14079])).
% 2.90/2.38 tff(14081,plain,
% 2.90/2.38 (~until5(s125)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14080, 14077])).
% 2.90/2.38 tff(14082,plain,
% 2.90/2.38 (~xuntil6(s124)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7945, 14081])).
% 2.90/2.38 tff(14083,plain,
% 2.90/2.38 (~always3(s124)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5472, 14078])).
% 2.90/2.38 tff(14084,plain,
% 2.90/2.38 (~node4(s124)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7932, 113, 14083])).
% 2.90/2.38 tff(14085,plain,
% 2.90/2.38 (xuntil6(s124) | (~until5(s124))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7939, 225, 14084])).
% 2.90/2.38 tff(14086,plain,
% 2.90/2.38 (~until5(s124)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14085, 14082])).
% 2.90/2.38 tff(14087,plain,
% 2.90/2.38 (~xuntil6(s123)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7928, 14086])).
% 2.90/2.38 tff(14088,plain,
% 2.90/2.38 (~always3(s123)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5484, 14083])).
% 2.90/2.38 tff(14089,plain,
% 2.90/2.38 (~node4(s123)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7915, 113, 14088])).
% 2.90/2.38 tff(14090,plain,
% 2.90/2.38 (xuntil6(s123) | (~until5(s123))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7922, 225, 14089])).
% 2.90/2.38 tff(14091,plain,
% 2.90/2.38 (~until5(s123)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14090, 14087])).
% 2.90/2.38 tff(14092,plain,
% 2.90/2.38 (~xuntil6(s122)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7911, 14091])).
% 2.90/2.38 tff(14093,plain,
% 2.90/2.38 (~always3(s122)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5496, 14088])).
% 2.90/2.38 tff(14094,plain,
% 2.90/2.38 (~node4(s122)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7898, 113, 14093])).
% 2.90/2.38 tff(14095,plain,
% 2.90/2.38 (xuntil6(s122) | (~until5(s122))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7905, 225, 14094])).
% 2.90/2.38 tff(14096,plain,
% 2.90/2.38 (~until5(s122)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14095, 14092])).
% 2.90/2.38 tff(14097,plain,
% 2.90/2.38 (~xuntil6(s121)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7894, 14096])).
% 2.90/2.38 tff(14098,plain,
% 2.90/2.38 (~always3(s121)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5508, 14093])).
% 2.90/2.38 tff(14099,plain,
% 2.90/2.38 (~node4(s121)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7881, 113, 14098])).
% 2.90/2.38 tff(14100,plain,
% 2.90/2.38 (xuntil6(s121) | (~until5(s121))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7888, 225, 14099])).
% 2.90/2.38 tff(14101,plain,
% 2.90/2.38 (~until5(s121)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14100, 14097])).
% 2.90/2.38 tff(14102,plain,
% 2.90/2.38 (~xuntil6(s120)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7877, 14101])).
% 2.90/2.38 tff(14103,plain,
% 2.90/2.38 (~always3(s120)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5520, 14098])).
% 2.90/2.38 tff(14104,plain,
% 2.90/2.38 (~node4(s120)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7864, 113, 14103])).
% 2.90/2.38 tff(14105,plain,
% 2.90/2.38 (xuntil6(s120) | (~until5(s120))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7871, 225, 14104])).
% 2.90/2.38 tff(14106,plain,
% 2.90/2.38 (~until5(s120)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14105, 14102])).
% 2.90/2.38 tff(14107,plain,
% 2.90/2.38 (~xuntil6(s119)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7860, 14106])).
% 2.90/2.38 tff(14108,plain,
% 2.90/2.38 (~always3(s119)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5532, 14103])).
% 2.90/2.38 tff(14109,plain,
% 2.90/2.38 (~node4(s119)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7847, 113, 14108])).
% 2.90/2.38 tff(14110,plain,
% 2.90/2.38 (xuntil6(s119) | (~until5(s119))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7854, 225, 14109])).
% 2.90/2.38 tff(14111,plain,
% 2.90/2.38 (~until5(s119)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14110, 14107])).
% 2.90/2.38 tff(14112,plain,
% 2.90/2.38 (~xuntil6(s118)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7843, 14111])).
% 2.90/2.38 tff(14113,plain,
% 2.90/2.38 (~always3(s118)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5544, 14108])).
% 2.90/2.38 tff(14114,plain,
% 2.90/2.38 (~node4(s118)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7830, 113, 14113])).
% 2.90/2.38 tff(14115,plain,
% 2.90/2.38 (xuntil6(s118) | (~until5(s118))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7837, 225, 14114])).
% 2.90/2.38 tff(14116,plain,
% 2.90/2.38 (~until5(s118)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14115, 14112])).
% 2.90/2.38 tff(14117,plain,
% 2.90/2.38 (~xuntil6(s117)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7826, 14116])).
% 2.90/2.38 tff(14118,plain,
% 2.90/2.38 (~always3(s117)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5556, 14113])).
% 2.90/2.38 tff(14119,plain,
% 2.90/2.38 (~node4(s117)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7813, 113, 14118])).
% 2.90/2.38 tff(14120,plain,
% 2.90/2.38 (xuntil6(s117) | (~until5(s117))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7820, 225, 14119])).
% 2.90/2.38 tff(14121,plain,
% 2.90/2.38 (~until5(s117)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14120, 14117])).
% 2.90/2.38 tff(14122,plain,
% 2.90/2.38 (~xuntil6(s116)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7809, 14121])).
% 2.90/2.38 tff(14123,plain,
% 2.90/2.38 (~always3(s116)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5568, 14118])).
% 2.90/2.38 tff(14124,plain,
% 2.90/2.38 (~node4(s116)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7796, 113, 14123])).
% 2.90/2.38 tff(14125,plain,
% 2.90/2.38 (xuntil6(s116) | (~until5(s116))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7803, 225, 14124])).
% 2.90/2.38 tff(14126,plain,
% 2.90/2.38 (~until5(s116)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14125, 14122])).
% 2.90/2.38 tff(14127,plain,
% 2.90/2.38 (~xuntil6(s115)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7792, 14126])).
% 2.90/2.38 tff(14128,plain,
% 2.90/2.38 (~always3(s115)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5580, 14123])).
% 2.90/2.38 tff(14129,plain,
% 2.90/2.38 (~node4(s115)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7779, 113, 14128])).
% 2.90/2.38 tff(14130,plain,
% 2.90/2.38 (xuntil6(s115) | (~until5(s115))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7786, 225, 14129])).
% 2.90/2.38 tff(14131,plain,
% 2.90/2.38 (~until5(s115)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14130, 14127])).
% 2.90/2.38 tff(14132,plain,
% 2.90/2.38 (~xuntil6(s114)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7775, 14131])).
% 2.90/2.38 tff(14133,plain,
% 2.90/2.38 (~always3(s114)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5592, 14128])).
% 2.90/2.38 tff(14134,plain,
% 2.90/2.38 (~node4(s114)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7762, 113, 14133])).
% 2.90/2.38 tff(14135,plain,
% 2.90/2.38 (xuntil6(s114) | (~until5(s114))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7769, 225, 14134])).
% 2.90/2.38 tff(14136,plain,
% 2.90/2.38 (~until5(s114)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14135, 14132])).
% 2.90/2.38 tff(14137,plain,
% 2.90/2.38 (~xuntil6(s113)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7758, 14136])).
% 2.90/2.38 tff(14138,plain,
% 2.90/2.38 (~always3(s113)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5604, 14133])).
% 2.90/2.38 tff(14139,plain,
% 2.90/2.38 (~node4(s113)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7745, 113, 14138])).
% 2.90/2.38 tff(14140,plain,
% 2.90/2.38 (xuntil6(s113) | (~until5(s113))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7752, 225, 14139])).
% 2.90/2.38 tff(14141,plain,
% 2.90/2.38 (~until5(s113)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14140, 14137])).
% 2.90/2.38 tff(14142,plain,
% 2.90/2.38 (~xuntil6(s112)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7741, 14141])).
% 2.90/2.38 tff(14143,plain,
% 2.90/2.38 (~always3(s112)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5616, 14138])).
% 2.90/2.38 tff(14144,plain,
% 2.90/2.38 (~node4(s112)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7728, 113, 14143])).
% 2.90/2.38 tff(14145,plain,
% 2.90/2.38 (xuntil6(s112) | (~until5(s112))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7735, 225, 14144])).
% 2.90/2.38 tff(14146,plain,
% 2.90/2.38 (~until5(s112)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14145, 14142])).
% 2.90/2.38 tff(14147,plain,
% 2.90/2.38 (~xuntil6(s111)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7724, 14146])).
% 2.90/2.38 tff(14148,plain,
% 2.90/2.38 (~always3(s111)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5628, 14143])).
% 2.90/2.38 tff(14149,plain,
% 2.90/2.38 (~node4(s111)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7711, 113, 14148])).
% 2.90/2.38 tff(14150,plain,
% 2.90/2.38 (xuntil6(s111) | (~until5(s111))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7718, 225, 14149])).
% 2.90/2.38 tff(14151,plain,
% 2.90/2.38 (~until5(s111)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14150, 14147])).
% 2.90/2.38 tff(14152,plain,
% 2.90/2.38 (~xuntil6(s110)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7707, 14151])).
% 2.90/2.38 tff(14153,plain,
% 2.90/2.38 (~always3(s110)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5640, 14148])).
% 2.90/2.38 tff(14154,plain,
% 2.90/2.38 (~node4(s110)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7694, 113, 14153])).
% 2.90/2.38 tff(14155,plain,
% 2.90/2.38 (xuntil6(s110) | (~until5(s110))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7701, 225, 14154])).
% 2.90/2.38 tff(14156,plain,
% 2.90/2.38 (~until5(s110)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14155, 14152])).
% 2.90/2.38 tff(14157,plain,
% 2.90/2.38 (~xuntil6(s109)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7690, 14156])).
% 2.90/2.38 tff(14158,plain,
% 2.90/2.38 (~always3(s109)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5652, 14153])).
% 2.90/2.38 tff(14159,plain,
% 2.90/2.38 (~node4(s109)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7677, 113, 14158])).
% 2.90/2.38 tff(14160,plain,
% 2.90/2.38 (xuntil6(s109) | (~until5(s109))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7684, 225, 14159])).
% 2.90/2.38 tff(14161,plain,
% 2.90/2.38 (~until5(s109)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14160, 14157])).
% 2.90/2.38 tff(14162,plain,
% 2.90/2.38 (~xuntil6(s108)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7673, 14161])).
% 2.90/2.38 tff(14163,plain,
% 2.90/2.38 (~always3(s108)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5664, 14158])).
% 2.90/2.38 tff(14164,plain,
% 2.90/2.38 (~node4(s108)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7660, 113, 14163])).
% 2.90/2.38 tff(14165,plain,
% 2.90/2.38 (xuntil6(s108) | (~until5(s108))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7667, 225, 14164])).
% 2.90/2.38 tff(14166,plain,
% 2.90/2.38 (~until5(s108)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14165, 14162])).
% 2.90/2.38 tff(14167,plain,
% 2.90/2.38 (~xuntil6(s107)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7656, 14166])).
% 2.90/2.38 tff(14168,plain,
% 2.90/2.38 (~always3(s107)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5676, 14163])).
% 2.90/2.38 tff(14169,plain,
% 2.90/2.38 (~node4(s107)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7643, 113, 14168])).
% 2.90/2.38 tff(14170,plain,
% 2.90/2.38 (xuntil6(s107) | (~until5(s107))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7650, 225, 14169])).
% 2.90/2.38 tff(14171,plain,
% 2.90/2.38 (~until5(s107)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14170, 14167])).
% 2.90/2.38 tff(14172,plain,
% 2.90/2.38 (~xuntil6(s106)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7639, 14171])).
% 2.90/2.38 tff(14173,plain,
% 2.90/2.38 (~always3(s106)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5688, 14168])).
% 2.90/2.38 tff(14174,plain,
% 2.90/2.38 (~node4(s106)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7626, 113, 14173])).
% 2.90/2.38 tff(14175,plain,
% 2.90/2.38 (xuntil6(s106) | (~until5(s106))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7633, 225, 14174])).
% 2.90/2.38 tff(14176,plain,
% 2.90/2.38 (~until5(s106)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14175, 14172])).
% 2.90/2.38 tff(14177,plain,
% 2.90/2.38 (~xuntil6(s105)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7622, 14176])).
% 2.90/2.38 tff(14178,plain,
% 2.90/2.38 (~always3(s105)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5700, 14173])).
% 2.90/2.38 tff(14179,plain,
% 2.90/2.38 (~node4(s105)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7609, 113, 14178])).
% 2.90/2.38 tff(14180,plain,
% 2.90/2.38 (xuntil6(s105) | (~until5(s105))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7616, 225, 14179])).
% 2.90/2.38 tff(14181,plain,
% 2.90/2.38 (~until5(s105)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14180, 14177])).
% 2.90/2.38 tff(14182,plain,
% 2.90/2.38 (~xuntil6(s104)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7605, 14181])).
% 2.90/2.38 tff(14183,plain,
% 2.90/2.38 (~always3(s104)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5712, 14178])).
% 2.90/2.38 tff(14184,plain,
% 2.90/2.38 (~node4(s104)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5716, 113, 14183])).
% 2.90/2.38 tff(14185,plain,
% 2.90/2.38 (xuntil6(s104) | (~until5(s104))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7600, 225, 14184])).
% 2.90/2.38 tff(14186,plain,
% 2.90/2.38 (~until5(s104)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14185, 14182])).
% 2.90/2.38 tff(14187,plain,
% 2.90/2.38 (~xuntil6(s103)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[7593, 14186])).
% 2.90/2.38 tff(14188,plain,
% 2.90/2.38 (~always3(s103)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5728, 14183])).
% 2.90/2.38 tff(14189,plain,
% 2.90/2.38 (~node4(s103)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6483, 113, 14188])).
% 2.90/2.38 tff(14190,plain,
% 2.90/2.38 (xuntil6(s103) | (~until5(s103))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6491, 225, 14189])).
% 2.90/2.38 tff(14191,plain,
% 2.90/2.38 (~until5(s103)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14190, 14187])).
% 2.90/2.38 tff(14192,plain,
% 2.90/2.38 (~xuntil6(s102)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6497, 14191])).
% 2.90/2.38 tff(14193,plain,
% 2.90/2.38 (~always3(s102)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5740, 14188])).
% 2.90/2.38 tff(14194,plain,
% 2.90/2.38 (~node4(s102)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6479, 113, 14193])).
% 2.90/2.38 tff(14195,plain,
% 2.90/2.38 (xuntil6(s102) | (~until5(s102))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6504, 225, 14194])).
% 2.90/2.38 tff(14196,plain,
% 2.90/2.38 (~until5(s102)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14195, 14192])).
% 2.90/2.38 tff(14197,plain,
% 2.90/2.38 (~xuntil6(s101)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6509, 14196])).
% 2.90/2.38 tff(14198,plain,
% 2.90/2.38 (~always3(s101)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5752, 14193])).
% 2.90/2.38 tff(14199,plain,
% 2.90/2.38 (~node4(s101)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6514, 113, 14198])).
% 2.90/2.38 tff(14200,plain,
% 2.90/2.38 (xuntil6(s101) | (~until5(s101))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6521, 225, 14199])).
% 2.90/2.38 tff(14201,plain,
% 2.90/2.38 (~until5(s101)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14200, 14197])).
% 2.90/2.38 tff(14202,plain,
% 2.90/2.38 (~xuntil6(s100)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6527, 14201])).
% 2.90/2.38 tff(14203,plain,
% 2.90/2.38 (~always3(s100)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5764, 14198])).
% 2.90/2.38 tff(14204,plain,
% 2.90/2.38 (~node4(s100)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6532, 113, 14203])).
% 2.90/2.38 tff(14205,plain,
% 2.90/2.38 (xuntil6(s100) | (~until5(s100))),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6539, 225, 14204])).
% 2.90/2.38 tff(14206,plain,
% 2.90/2.38 (~until5(s100)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[14205, 14202])).
% 2.90/2.38 tff(14207,plain,
% 2.90/2.38 (~always3(s99)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5776, 14203])).
% 2.90/2.38 tff(14208,plain,
% 2.90/2.38 (~always3(s98)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5788, 14207])).
% 2.90/2.38 tff(14209,plain,
% 2.90/2.38 (~always3(s97)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5800, 14208])).
% 2.90/2.38 tff(14210,plain,
% 2.90/2.38 (~always3(s96)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5812, 14209])).
% 2.90/2.38 tff(14211,plain,
% 2.90/2.38 (~always3(s95)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5824, 14210])).
% 2.90/2.38 tff(14212,plain,
% 2.90/2.38 (~always3(s94)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5836, 14211])).
% 2.90/2.38 tff(14213,plain,
% 2.90/2.38 (~always3(s93)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5848, 14212])).
% 2.90/2.38 tff(14214,plain,
% 2.90/2.38 (~always3(s92)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5860, 14213])).
% 2.90/2.38 tff(14215,plain,
% 2.90/2.38 (~always3(s91)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5872, 14214])).
% 2.90/2.38 tff(14216,plain,
% 2.90/2.38 (~always3(s90)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5884, 14215])).
% 2.90/2.38 tff(14217,plain,
% 2.90/2.38 (~always3(s89)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5896, 14216])).
% 2.90/2.38 tff(14218,plain,
% 2.90/2.38 (~always3(s88)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5908, 14217])).
% 2.90/2.38 tff(14219,plain,
% 2.90/2.38 (~always3(s87)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5920, 14218])).
% 2.90/2.38 tff(14220,plain,
% 2.90/2.38 (~always3(s86)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5932, 14219])).
% 2.90/2.38 tff(14221,plain,
% 2.90/2.38 (~always3(s85)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5944, 14220])).
% 2.90/2.38 tff(14222,plain,
% 2.90/2.38 (~always3(s84)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5956, 14221])).
% 2.90/2.38 tff(14223,plain,
% 2.90/2.38 (~always3(s83)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5968, 14222])).
% 2.90/2.38 tff(14224,plain,
% 2.90/2.38 (~always3(s82)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5980, 14223])).
% 2.90/2.38 tff(14225,plain,
% 2.90/2.38 (~always3(s81)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[5992, 14224])).
% 2.90/2.38 tff(14226,plain,
% 2.90/2.38 (~always3(s80)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6004, 14225])).
% 2.90/2.38 tff(14227,plain,
% 2.90/2.38 (~always3(s79)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6016, 14226])).
% 2.90/2.38 tff(14228,plain,
% 2.90/2.38 (~always3(s78)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6028, 14227])).
% 2.90/2.38 tff(14229,plain,
% 2.90/2.38 (~always3(s77)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6040, 14228])).
% 2.90/2.38 tff(14230,plain,
% 2.90/2.38 (~always3(s76)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6052, 14229])).
% 2.90/2.38 tff(14231,plain,
% 2.90/2.38 (~always3(s75)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6064, 14230])).
% 2.90/2.38 tff(14232,plain,
% 2.90/2.38 (~always3(s74)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6076, 14231])).
% 2.90/2.38 tff(14233,plain,
% 2.90/2.38 (~always3(s73)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6088, 14232])).
% 2.90/2.38 tff(14234,plain,
% 2.90/2.38 (~always3(s72)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6100, 14233])).
% 2.90/2.38 tff(14235,plain,
% 2.90/2.38 (~always3(s71)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6112, 14234])).
% 2.90/2.38 tff(14236,plain,
% 2.90/2.38 (~always3(s70)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6124, 14235])).
% 2.90/2.38 tff(14237,plain,
% 2.90/2.38 (~always3(s69)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6136, 14236])).
% 2.90/2.38 tff(14238,plain,
% 2.90/2.38 (~always3(s68)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6148, 14237])).
% 2.90/2.38 tff(14239,plain,
% 2.90/2.38 (~always3(s67)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6160, 14238])).
% 2.90/2.38 tff(14240,plain,
% 2.90/2.38 (~always3(s66)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6172, 14239])).
% 2.90/2.38 tff(14241,plain,
% 2.90/2.38 (~always3(s65)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6184, 14240])).
% 2.90/2.38 tff(14242,plain,
% 2.90/2.38 (~always3(s64)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6196, 14241])).
% 2.90/2.38 tff(14243,plain,
% 2.90/2.38 (~always3(s63)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6208, 14242])).
% 2.90/2.38 tff(14244,plain,
% 2.90/2.38 (~always3(s62)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6220, 14243])).
% 2.90/2.38 tff(14245,plain,
% 2.90/2.38 (~always3(s61)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6232, 14244])).
% 2.90/2.38 tff(14246,plain,
% 2.90/2.38 (~always3(s60)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6244, 14245])).
% 2.90/2.38 tff(14247,plain,
% 2.90/2.38 (~always3(s59)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6256, 14246])).
% 2.90/2.38 tff(14248,plain,
% 2.90/2.38 (~always3(s58)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6268, 14247])).
% 2.90/2.38 tff(14249,plain,
% 2.90/2.38 (~always3(s57)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6280, 14248])).
% 2.90/2.38 tff(14250,plain,
% 2.90/2.38 (~always3(s56)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6292, 14249])).
% 2.90/2.38 tff(14251,plain,
% 2.90/2.38 (~always3(s55)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6304, 14250])).
% 2.90/2.38 tff(14252,plain,
% 2.90/2.38 (~always3(s54)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6316, 14251])).
% 2.90/2.38 tff(14253,plain,
% 2.90/2.38 (~always3(s53)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6328, 14252])).
% 2.90/2.38 tff(14254,plain,
% 2.90/2.38 (~always3(s52)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6340, 14253])).
% 2.90/2.38 tff(14255,plain,
% 2.90/2.38 (~always3(s51)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6352, 14254])).
% 2.90/2.38 tff(14256,plain,
% 2.90/2.38 (~always3(s50)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6364, 14255])).
% 2.90/2.38 tff(14257,plain,
% 2.90/2.38 (~always3(s49)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6376, 14256])).
% 2.90/2.38 tff(14258,plain,
% 2.90/2.38 (~always3(s48)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6388, 14257])).
% 2.90/2.38 tff(14259,plain,
% 2.90/2.38 (~always3(s47)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6400, 14258])).
% 2.90/2.38 tff(14260,plain,
% 2.90/2.38 (~always3(s46)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6412, 14259])).
% 2.90/2.38 tff(14261,plain,
% 2.90/2.38 (~always3(s45)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6424, 14260])).
% 2.90/2.38 tff(14262,plain,
% 2.90/2.38 (~always3(s44)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[6436, 14261])).
% 2.90/2.38 tff(14263,plain,
% 2.90/2.38 (~always3(s43)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[81, 14262])).
% 2.90/2.38 tff(14264,plain,
% 2.90/2.38 (~always3(s42)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[93, 14263])).
% 2.90/2.38 tff(14265,plain,
% 2.90/2.38 (~always3(s41)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[105, 14264])).
% 2.90/2.38 tff(14266,plain,
% 2.90/2.38 (~always3(s40)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[137, 14265])).
% 2.90/2.38 tff(14267,plain,
% 2.90/2.38 (~always3(s39)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[3143, 14266])).
% 2.90/2.38 tff(14268,plain,
% 2.90/2.38 (~always3(s38)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[2699, 14267])).
% 2.90/2.38 tff(14269,plain,
% 2.90/2.38 (~always3(s37)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[2375, 14268])).
% 2.90/2.38 tff(14270,plain,
% 2.90/2.38 (~always3(s36)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[2387, 14269])).
% 2.90/2.38 tff(14271,plain,
% 2.90/2.38 (~always3(s35)),
% 2.90/2.38 inference(unit_resolution,[status(thm)],[2399, 14270])).
% 2.90/2.39 tff(14272,plain,
% 2.90/2.39 (~always3(s34)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2411, 14271])).
% 2.90/2.39 tff(14273,plain,
% 2.90/2.39 (~always3(s33)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2423, 14272])).
% 2.90/2.39 tff(14274,plain,
% 2.90/2.39 (~always3(s32)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2435, 14273])).
% 2.90/2.39 tff(14275,plain,
% 2.90/2.39 (~always3(s31)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2447, 14274])).
% 2.90/2.39 tff(14276,plain,
% 2.90/2.39 (~always3(s30)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2326, 14275])).
% 2.90/2.39 tff(14277,plain,
% 2.90/2.39 (~always3(s29)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2229, 14276])).
% 2.90/2.39 tff(14278,plain,
% 2.90/2.39 (~always3(s28)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2173, 14277])).
% 2.90/2.39 tff(14279,plain,
% 2.90/2.39 (~always3(s27)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2081, 14278])).
% 2.90/2.39 tff(14280,plain,
% 2.90/2.39 (~always3(s26)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1993, 14279])).
% 2.90/2.39 tff(14281,plain,
% 2.90/2.39 (~always3(s25)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1873, 14280])).
% 2.90/2.39 tff(14282,plain,
% 2.90/2.39 (~always3(s24)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1771, 14281])).
% 2.90/2.39 tff(14283,plain,
% 2.90/2.39 (~always3(s23)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1816, 14282])).
% 2.90/2.39 tff(14284,plain,
% 2.90/2.39 (~always3(s22)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1557, 14283])).
% 2.90/2.39 tff(14285,plain,
% 2.90/2.39 (~always3(s21)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1306, 14284])).
% 2.90/2.39 tff(14286,plain,
% 2.90/2.39 (~always3(s20)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1351, 14285])).
% 2.90/2.39 tff(14287,plain,
% 2.90/2.39 (~always3(s19)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1363, 14286])).
% 2.90/2.39 tff(14288,plain,
% 2.90/2.39 (~always3(s18)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1379, 14287])).
% 2.90/2.39 tff(14289,plain,
% 2.90/2.39 (~always3(s17)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1395, 14288])).
% 2.90/2.39 tff(14290,plain,
% 2.90/2.39 (~always3(s16)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1407, 14289])).
% 2.90/2.39 tff(14291,plain,
% 2.90/2.39 (~always3(s15)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[654, 14290])).
% 2.90/2.39 tff(14292,plain,
% 2.90/2.39 (~always3(s14)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[206, 14291])).
% 2.90/2.39 tff(14293,plain,
% 2.90/2.39 (~always3(s13)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[271, 14292])).
% 2.90/2.39 tff(14294,plain,
% 2.90/2.39 (~always3(s12)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[300, 14293])).
% 2.90/2.39 tff(14295,plain,
% 2.90/2.39 (~always3(s11)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[329, 14294])).
% 2.90/2.39 tff(14296,plain,
% 2.90/2.39 (~always3(s10)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[358, 14295])).
% 2.90/2.39 tff(14297,plain,
% 2.90/2.39 (~always3(s9)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[387, 14296])).
% 2.90/2.39 tff(14298,plain,
% 2.90/2.39 (~always3(s8)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[416, 14297])).
% 2.90/2.39 tff(14299,plain,
% 2.90/2.39 (~always3(s7)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[440, 14298])).
% 2.90/2.39 tff(14300,plain,
% 2.90/2.39 (~always3(s6)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[452, 14299])).
% 2.90/2.39 tff(14301,plain,
% 2.90/2.39 (~always3(s5)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[464, 14300])).
% 2.90/2.39 tff(14302,plain,
% 2.90/2.39 (~always3(s4)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[476, 14301])).
% 2.90/2.39 tff(14303,plain,
% 2.90/2.39 (~always3(s3)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[488, 14302])).
% 2.90/2.39 tff(14304,plain,
% 2.90/2.39 (~always3(s2)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[42, 14303])).
% 2.90/2.39 tff(14305,plain,
% 2.90/2.39 (~always3(s1)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[54, 14304])).
% 2.90/2.39 tff(14306,plain,
% 2.90/2.39 (~node4(s1)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[494, 113, 14305])).
% 2.90/2.39 tff(14307,plain,
% 2.90/2.39 (~always3(s0)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[506, 14305])).
% 2.90/2.39 tff(14308,plain,
% 2.90/2.39 (~node4(s0)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[510, 113, 14307])).
% 2.90/2.39 tff(14309,plain,
% 2.90/2.39 (xuntil6(s0)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[521, 14308])).
% 2.90/2.39 tff(14310,plain,
% 2.90/2.39 (until5(s1)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[526, 14309])).
% 2.90/2.39 tff(14311,plain,
% 2.90/2.39 (xuntil6(s1)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[533, 225, 14310, 14306])).
% 2.90/2.39 tff(14312,plain,
% 2.90/2.39 (until5(s2)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[538, 14311])).
% 2.90/2.39 tff(14313,plain,
% 2.90/2.39 (~node4(s2)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[542, 113, 14304])).
% 2.90/2.39 tff(14314,plain,
% 2.90/2.39 (xuntil6(s2) | (~until5(s2))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[549, 225, 14313])).
% 2.90/2.39 tff(14315,plain,
% 2.90/2.39 (xuntil6(s2)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14314, 14312])).
% 2.90/2.39 tff(14316,plain,
% 2.90/2.39 (until5(s3)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[555, 14315])).
% 2.90/2.39 tff(14317,plain,
% 2.90/2.39 (~node4(s3)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[559, 113, 14303])).
% 2.90/2.39 tff(14318,plain,
% 2.90/2.39 (xuntil6(s3) | (~until5(s3))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[566, 225, 14317])).
% 2.90/2.39 tff(14319,plain,
% 2.90/2.39 (xuntil6(s3)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14318, 14316])).
% 2.90/2.39 tff(14320,plain,
% 2.90/2.39 (until5(s4)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[572, 14319])).
% 2.90/2.39 tff(14321,plain,
% 2.90/2.39 (~node4(s4)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[576, 113, 14302])).
% 2.90/2.39 tff(14322,plain,
% 2.90/2.39 (xuntil6(s4) | (~until5(s4))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[583, 225, 14321])).
% 2.90/2.39 tff(14323,plain,
% 2.90/2.39 (xuntil6(s4)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14322, 14320])).
% 2.90/2.39 tff(14324,plain,
% 2.90/2.39 (until5(s5)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[589, 14323])).
% 2.90/2.39 tff(14325,plain,
% 2.90/2.39 (~node4(s5)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[593, 113, 14301])).
% 2.90/2.39 tff(14326,plain,
% 2.90/2.39 (xuntil6(s5) | (~until5(s5))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[600, 225, 14325])).
% 2.90/2.39 tff(14327,plain,
% 2.90/2.39 (xuntil6(s5)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14326, 14324])).
% 2.90/2.39 tff(14328,plain,
% 2.90/2.39 (until5(s6)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[606, 14327])).
% 2.90/2.39 tff(14329,plain,
% 2.90/2.39 (~node4(s6)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[610, 113, 14300])).
% 2.90/2.39 tff(14330,plain,
% 2.90/2.39 (xuntil6(s6) | (~until5(s6))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[617, 225, 14329])).
% 2.90/2.39 tff(14331,plain,
% 2.90/2.39 (xuntil6(s6)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14330, 14328])).
% 2.90/2.39 tff(14332,plain,
% 2.90/2.39 (until5(s7)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[623, 14331])).
% 2.90/2.39 tff(14333,plain,
% 2.90/2.39 (~node4(s7)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[627, 113, 14299])).
% 2.90/2.39 tff(14334,plain,
% 2.90/2.39 (xuntil6(s7) | (~until5(s7))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[634, 225, 14333])).
% 2.90/2.39 tff(14335,plain,
% 2.90/2.39 (xuntil6(s7)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14334, 14332])).
% 2.90/2.39 tff(14336,plain,
% 2.90/2.39 (until5(s8)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[640, 14335])).
% 2.90/2.39 tff(14337,plain,
% 2.90/2.39 (~node4(s8)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[420, 113, 14298])).
% 2.90/2.39 tff(14338,plain,
% 2.90/2.39 (xuntil6(s8) | (~until5(s8))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[427, 225, 14337])).
% 2.90/2.39 tff(14339,plain,
% 2.90/2.39 (xuntil6(s8)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14338, 14336])).
% 2.90/2.39 tff(14340,plain,
% 2.90/2.39 (until5(s9)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[407, 14339])).
% 2.90/2.39 tff(14341,plain,
% 2.90/2.39 (~node4(s9)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[391, 113, 14297])).
% 2.90/2.39 tff(14342,plain,
% 2.90/2.39 (xuntil6(s9) | (~until5(s9))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[398, 225, 14341])).
% 2.90/2.39 tff(14343,plain,
% 2.90/2.39 (xuntil6(s9)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14342, 14340])).
% 2.90/2.39 tff(14344,plain,
% 2.90/2.39 (until5(s10)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[378, 14343])).
% 2.90/2.39 tff(14345,plain,
% 2.90/2.39 (~node4(s10)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[362, 113, 14296])).
% 2.90/2.39 tff(14346,plain,
% 2.90/2.39 (xuntil6(s10) | (~until5(s10))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[369, 225, 14345])).
% 2.90/2.39 tff(14347,plain,
% 2.90/2.39 (xuntil6(s10)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14346, 14344])).
% 2.90/2.39 tff(14348,plain,
% 2.90/2.39 (until5(s11)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[349, 14347])).
% 2.90/2.39 tff(14349,plain,
% 2.90/2.39 (~node4(s11)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[333, 113, 14295])).
% 2.90/2.39 tff(14350,plain,
% 2.90/2.39 (xuntil6(s11) | (~until5(s11))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[340, 225, 14349])).
% 2.90/2.39 tff(14351,plain,
% 2.90/2.39 (xuntil6(s11)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14350, 14348])).
% 2.90/2.39 tff(14352,plain,
% 2.90/2.39 (until5(s12)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[320, 14351])).
% 2.90/2.39 tff(14353,plain,
% 2.90/2.39 (~node4(s12)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[304, 113, 14294])).
% 2.90/2.39 tff(14354,plain,
% 2.90/2.39 (xuntil6(s12) | (~until5(s12))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[311, 225, 14353])).
% 2.90/2.39 tff(14355,plain,
% 2.90/2.39 (xuntil6(s12)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14354, 14352])).
% 2.90/2.39 tff(14356,plain,
% 2.90/2.39 (until5(s13)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[291, 14355])).
% 2.90/2.39 tff(14357,plain,
% 2.90/2.39 (~node4(s13)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[275, 113, 14293])).
% 2.90/2.39 tff(14358,plain,
% 2.90/2.39 (xuntil6(s13) | (~until5(s13))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[282, 225, 14357])).
% 2.90/2.39 tff(14359,plain,
% 2.90/2.39 (xuntil6(s13)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14358, 14356])).
% 2.90/2.39 tff(14360,plain,
% 2.90/2.39 (until5(s14)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[262, 14359])).
% 2.90/2.39 tff(14361,plain,
% 2.90/2.39 (~node4(s14)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[210, 113, 14292])).
% 2.90/2.39 tff(14362,plain,
% 2.90/2.39 (xuntil6(s14) | (~until5(s14))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[254, 225, 14361])).
% 2.90/2.39 tff(14363,plain,
% 2.90/2.39 (xuntil6(s14)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14362, 14360])).
% 2.90/2.39 tff(14364,plain,
% 2.90/2.39 (until5(s15)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[247, 14363])).
% 2.90/2.39 tff(14365,plain,
% 2.90/2.39 (~node4(s15)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[214, 113, 14291])).
% 2.90/2.39 tff(14366,plain,
% 2.90/2.39 (xuntil6(s15) | (~until5(s15))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[231, 225, 14365])).
% 2.90/2.39 tff(14367,plain,
% 2.90/2.39 (xuntil6(s15)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14366, 14364])).
% 2.90/2.39 tff(14368,plain,
% 2.90/2.39 (until5(s16)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1292, 14367])).
% 2.90/2.39 tff(14369,plain,
% 2.90/2.39 (~node4(s16)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1430, 113, 14290])).
% 2.90/2.39 tff(14370,plain,
% 2.90/2.39 (xuntil6(s16) | (~until5(s16))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1437, 225, 14369])).
% 2.90/2.39 tff(14371,plain,
% 2.90/2.39 (xuntil6(s16)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14370, 14368])).
% 2.90/2.39 tff(14372,plain,
% 2.90/2.39 (until5(s17)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1443, 14371])).
% 2.90/2.39 tff(14373,plain,
% 2.90/2.39 (~node4(s17)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1417, 113, 14289])).
% 2.90/2.39 tff(14374,plain,
% 2.90/2.39 (xuntil6(s17) | (~until5(s17))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1424, 225, 14373])).
% 2.90/2.39 tff(14375,plain,
% 2.90/2.39 (xuntil6(s17)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14374, 14372])).
% 2.90/2.39 tff(14376,plain,
% 2.90/2.39 (until5(s18)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1506, 14375])).
% 2.90/2.39 tff(14377,plain,
% 2.90/2.39 (~node4(s18)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1383, 113, 14288])).
% 2.90/2.39 tff(14378,plain,
% 2.90/2.39 (xuntil6(s18) | (~until5(s18))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1513, 225, 14377])).
% 2.90/2.39 tff(14379,plain,
% 2.90/2.39 (xuntil6(s18)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14378, 14376])).
% 2.90/2.39 tff(14380,plain,
% 2.90/2.39 (until5(s19)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1519, 14379])).
% 2.90/2.39 tff(14381,plain,
% 2.90/2.39 (~node4(s19)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1367, 113, 14287])).
% 2.90/2.39 tff(14382,plain,
% 2.90/2.39 (xuntil6(s19) | (~until5(s19))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1526, 225, 14381])).
% 2.90/2.39 tff(14383,plain,
% 2.90/2.39 (xuntil6(s19)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14382, 14380])).
% 2.90/2.39 tff(14384,plain,
% 2.90/2.39 (until5(s20)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1531, 14383])).
% 2.90/2.39 tff(14385,plain,
% 2.90/2.39 (~node4(s20)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1535, 113, 14286])).
% 2.90/2.39 tff(14386,plain,
% 2.90/2.39 (xuntil6(s20) | (~until5(s20))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1542, 225, 14385])).
% 2.90/2.39 tff(14387,plain,
% 2.90/2.39 (xuntil6(s20)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14386, 14384])).
% 2.90/2.39 tff(14388,plain,
% 2.90/2.39 (until5(s21)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1342, 14387])).
% 2.90/2.39 tff(14389,plain,
% 2.90/2.39 (~node4(s21)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1310, 113, 14285])).
% 2.90/2.39 tff(14390,plain,
% 2.90/2.39 (xuntil6(s21) | (~until5(s21))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1334, 225, 14389])).
% 2.90/2.39 tff(14391,plain,
% 2.90/2.39 (xuntil6(s21)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14390, 14388])).
% 2.90/2.39 tff(14392,plain,
% 2.90/2.39 (until5(s22)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1327, 14391])).
% 2.90/2.39 tff(14393,plain,
% 2.90/2.39 (~node4(s22)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1314, 113, 14284])).
% 2.90/2.39 tff(14394,plain,
% 2.90/2.39 (xuntil6(s22) | (~until5(s22))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1321, 225, 14393])).
% 2.90/2.39 tff(14395,plain,
% 2.90/2.39 (xuntil6(s22)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14394, 14392])).
% 2.90/2.39 tff(14396,plain,
% 2.90/2.39 (until5(s23)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1756, 14395])).
% 2.90/2.39 tff(14397,plain,
% 2.90/2.39 (~node4(s23)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1820, 113, 14283])).
% 2.90/2.39 tff(14398,plain,
% 2.90/2.39 (xuntil6(s23) | (~until5(s23))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1827, 225, 14397])).
% 2.90/2.39 tff(14399,plain,
% 2.90/2.39 (xuntil6(s23)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14398, 14396])).
% 2.90/2.39 tff(14400,plain,
% 2.90/2.39 (until5(s24)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1807, 14399])).
% 2.90/2.39 tff(14401,plain,
% 2.90/2.39 (~node4(s24)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1775, 113, 14282])).
% 2.90/2.39 tff(14402,plain,
% 2.90/2.39 (xuntil6(s24) | (~until5(s24))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1799, 225, 14401])).
% 2.90/2.39 tff(14403,plain,
% 2.90/2.39 (xuntil6(s24)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14402, 14400])).
% 2.90/2.39 tff(14404,plain,
% 2.90/2.39 (until5(s25)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1792, 14403])).
% 2.90/2.39 tff(14405,plain,
% 2.90/2.39 (~node4(s25)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1779, 113, 14281])).
% 2.90/2.39 tff(14406,plain,
% 2.90/2.39 (xuntil6(s25) | (~until5(s25))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1786, 225, 14405])).
% 2.90/2.39 tff(14407,plain,
% 2.90/2.39 (xuntil6(s25)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14406, 14404])).
% 2.90/2.39 tff(14408,plain,
% 2.90/2.39 (until5(s26)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1979, 14407])).
% 2.90/2.39 tff(14409,plain,
% 2.90/2.39 (~node4(s26)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[1997, 113, 14280])).
% 2.90/2.39 tff(14410,plain,
% 2.90/2.39 (xuntil6(s26) | (~until5(s26))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2021, 225, 14409])).
% 2.90/2.39 tff(14411,plain,
% 2.90/2.39 (xuntil6(s26)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14410, 14408])).
% 2.90/2.39 tff(14412,plain,
% 2.90/2.39 (until5(s27)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2014, 14411])).
% 2.90/2.39 tff(14413,plain,
% 2.90/2.39 (~node4(s27)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2001, 113, 14279])).
% 2.90/2.39 tff(14414,plain,
% 2.90/2.39 (xuntil6(s27) | (~until5(s27))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2008, 225, 14413])).
% 2.90/2.39 tff(14415,plain,
% 2.90/2.39 (xuntil6(s27)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14414, 14412])).
% 2.90/2.39 tff(14416,plain,
% 2.90/2.39 (until5(s28)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2152, 14415])).
% 2.90/2.39 tff(14417,plain,
% 2.90/2.39 (~node4(s28)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2161, 113, 14278])).
% 2.90/2.39 tff(14418,plain,
% 2.90/2.39 (xuntil6(s28) | (~until5(s28))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2202, 225, 14417])).
% 2.90/2.39 tff(14419,plain,
% 2.90/2.39 (xuntil6(s28)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14418, 14416])).
% 2.90/2.39 tff(14420,plain,
% 2.90/2.39 (until5(s29)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2208, 14419])).
% 2.90/2.39 tff(14421,plain,
% 2.90/2.39 (~node4(s29)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2217, 113, 14277])).
% 2.90/2.39 tff(14422,plain,
% 2.90/2.39 (xuntil6(s29) | (~until5(s29))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2299, 225, 14421])).
% 2.90/2.39 tff(14423,plain,
% 2.90/2.39 (xuntil6(s29)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14422, 14420])).
% 2.90/2.39 tff(14424,plain,
% 2.90/2.39 (until5(s30)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2305, 14423])).
% 2.90/2.39 tff(14425,plain,
% 2.90/2.39 (~node4(s30)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2314, 113, 14276])).
% 2.90/2.39 tff(14426,plain,
% 2.90/2.39 (xuntil6(s30) | (~until5(s30))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2355, 225, 14425])).
% 2.90/2.39 tff(14427,plain,
% 2.90/2.39 (xuntil6(s30)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14426, 14424])).
% 2.90/2.39 tff(14428,plain,
% 2.90/2.39 (until5(s31)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2361, 14427])).
% 2.90/2.39 tff(14429,plain,
% 2.90/2.39 (~node4(s31)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2578, 113, 14275])).
% 2.90/2.39 tff(14430,plain,
% 2.90/2.39 (xuntil6(s31) | (~until5(s31))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2585, 225, 14429])).
% 2.90/2.39 tff(14431,plain,
% 2.90/2.39 (xuntil6(s31)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14430, 14428])).
% 2.90/2.39 tff(14432,plain,
% 2.90/2.39 (until5(s32)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2573, 14431])).
% 2.90/2.39 tff(14433,plain,
% 2.90/2.39 (~node4(s32)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2560, 113, 14274])).
% 2.90/2.39 tff(14434,plain,
% 2.90/2.39 (xuntil6(s32) | (~until5(s32))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2567, 225, 14433])).
% 2.90/2.39 tff(14435,plain,
% 2.90/2.39 (xuntil6(s32)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14434, 14432])).
% 2.90/2.39 tff(14436,plain,
% 2.90/2.39 (until5(s33)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2555, 14435])).
% 2.90/2.39 tff(14437,plain,
% 2.90/2.39 (~node4(s33)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2542, 113, 14273])).
% 2.90/2.39 tff(14438,plain,
% 2.90/2.39 (xuntil6(s33) | (~until5(s33))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2549, 225, 14437])).
% 2.90/2.39 tff(14439,plain,
% 2.90/2.39 (xuntil6(s33)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14438, 14436])).
% 2.90/2.39 tff(14440,plain,
% 2.90/2.39 (until5(s34)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2537, 14439])).
% 2.90/2.39 tff(14441,plain,
% 2.90/2.39 (~node4(s34)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2524, 113, 14272])).
% 2.90/2.39 tff(14442,plain,
% 2.90/2.39 (xuntil6(s34) | (~until5(s34))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2531, 225, 14441])).
% 2.90/2.39 tff(14443,plain,
% 2.90/2.39 (xuntil6(s34)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14442, 14440])).
% 2.90/2.39 tff(14444,plain,
% 2.90/2.39 (until5(s35)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2519, 14443])).
% 2.90/2.39 tff(14445,plain,
% 2.90/2.39 (~node4(s35)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2506, 113, 14271])).
% 2.90/2.39 tff(14446,plain,
% 2.90/2.39 (xuntil6(s35) | (~until5(s35))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2513, 225, 14445])).
% 2.90/2.39 tff(14447,plain,
% 2.90/2.39 (xuntil6(s35)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14446, 14444])).
% 2.90/2.39 tff(14448,plain,
% 2.90/2.39 (until5(s36)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2501, 14447])).
% 2.90/2.39 tff(14449,plain,
% 2.90/2.39 (~node4(s36)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2471, 113, 14270])).
% 2.90/2.39 tff(14450,plain,
% 2.90/2.39 (xuntil6(s36) | (~until5(s36))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2496, 225, 14449])).
% 2.90/2.39 tff(14451,plain,
% 2.90/2.39 (xuntil6(s36)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14450, 14448])).
% 2.90/2.39 tff(14452,plain,
% 2.90/2.39 (until5(s37)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2489, 14451])).
% 2.90/2.39 tff(14453,plain,
% 2.90/2.39 (~node4(s37)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2475, 113, 14269])).
% 2.90/2.39 tff(14454,plain,
% 2.90/2.39 (xuntil6(s37) | (~until5(s37))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2483, 225, 14453])).
% 2.90/2.39 tff(14455,plain,
% 2.90/2.39 (xuntil6(s37)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14454, 14452])).
% 2.90/2.39 tff(14456,plain,
% 2.90/2.39 (until5(s38)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2666, 14455])).
% 2.90/2.39 tff(14457,plain,
% 2.90/2.39 (~node4(s38)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2678, 113, 14268])).
% 2.90/2.39 tff(14458,plain,
% 2.90/2.39 (xuntil6(s38) | (~until5(s38))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[2673, 225, 14457])).
% 2.90/2.39 tff(14459,plain,
% 2.90/2.39 (xuntil6(s38)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14458, 14456])).
% 2.90/2.39 tff(14460,plain,
% 2.90/2.39 (until5(s39)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[3122, 14459])).
% 2.90/2.39 tff(14461,plain,
% 2.90/2.39 (~node4(s39)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[3131, 113, 14267])).
% 2.90/2.39 tff(14462,plain,
% 2.90/2.39 (xuntil6(s39) | (~until5(s39))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[3166, 225, 14461])).
% 2.90/2.39 tff(14463,plain,
% 2.90/2.39 (xuntil6(s39)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14462, 14460])).
% 2.90/2.39 tff(14464,plain,
% 2.90/2.39 (until5(s40)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[3172, 14463])).
% 2.90/2.39 tff(14465,plain,
% 2.90/2.39 (~node4(s40)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[125, 113, 14266])).
% 2.90/2.39 tff(14466,plain,
% 2.90/2.39 (xuntil6(s40) | (~until5(s40))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[3179, 225, 14465])).
% 2.90/2.39 tff(14467,plain,
% 2.90/2.39 (xuntil6(s40)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14466, 14464])).
% 2.90/2.39 tff(14468,plain,
% 2.90/2.39 (until5(s41)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[3185, 14467])).
% 2.90/2.39 tff(14469,plain,
% 2.90/2.39 (~node4(s41)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[116, 113, 14265])).
% 2.90/2.39 tff(14470,plain,
% 2.90/2.39 (xuntil6(s41) | (~until5(s41))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[3192, 225, 14469])).
% 2.90/2.39 tff(14471,plain,
% 2.90/2.39 (xuntil6(s41)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14470, 14468])).
% 2.90/2.39 tff(14472,plain,
% 2.90/2.39 (until5(s42)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[3198, 14471])).
% 2.90/2.39 tff(14473,plain,
% 2.90/2.39 (~node4(s42)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[3202, 113, 14264])).
% 2.90/2.39 tff(14474,plain,
% 2.90/2.39 (xuntil6(s42) | (~until5(s42))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[3209, 225, 14473])).
% 2.90/2.39 tff(14475,plain,
% 2.90/2.39 (xuntil6(s42)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14474, 14472])).
% 2.90/2.39 tff(14476,plain,
% 2.90/2.39 (until5(s43)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[3214, 14475])).
% 2.90/2.39 tff(14477,plain,
% 2.90/2.39 (~node4(s43)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7102, 113, 14263])).
% 2.90/2.39 tff(14478,plain,
% 2.90/2.39 (xuntil6(s43) | (~until5(s43))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7109, 225, 14477])).
% 2.90/2.39 tff(14479,plain,
% 2.90/2.39 (xuntil6(s43)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14478, 14476])).
% 2.90/2.39 tff(14480,plain,
% 2.90/2.39 (until5(s44)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7115, 14479])).
% 2.90/2.39 tff(14481,plain,
% 2.90/2.39 (~node4(s44)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7119, 113, 14262])).
% 2.90/2.39 tff(14482,plain,
% 2.90/2.39 (xuntil6(s44) | (~until5(s44))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7126, 225, 14481])).
% 2.90/2.39 tff(14483,plain,
% 2.90/2.39 (xuntil6(s44)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14482, 14480])).
% 2.90/2.39 tff(14484,plain,
% 2.90/2.39 (until5(s45)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7132, 14483])).
% 2.90/2.39 tff(14485,plain,
% 2.90/2.39 (~node4(s45)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7136, 113, 14261])).
% 2.90/2.39 tff(14486,plain,
% 2.90/2.39 (xuntil6(s45) | (~until5(s45))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7143, 225, 14485])).
% 2.90/2.39 tff(14487,plain,
% 2.90/2.39 (xuntil6(s45)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14486, 14484])).
% 2.90/2.39 tff(14488,plain,
% 2.90/2.39 (until5(s46)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7149, 14487])).
% 2.90/2.39 tff(14489,plain,
% 2.90/2.39 (~node4(s46)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7153, 113, 14260])).
% 2.90/2.39 tff(14490,plain,
% 2.90/2.39 (xuntil6(s46) | (~until5(s46))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7160, 225, 14489])).
% 2.90/2.39 tff(14491,plain,
% 2.90/2.39 (xuntil6(s46)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14490, 14488])).
% 2.90/2.39 tff(14492,plain,
% 2.90/2.39 (until5(s47)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7166, 14491])).
% 2.90/2.39 tff(14493,plain,
% 2.90/2.39 (~node4(s47)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7170, 113, 14259])).
% 2.90/2.39 tff(14494,plain,
% 2.90/2.39 (xuntil6(s47) | (~until5(s47))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7177, 225, 14493])).
% 2.90/2.39 tff(14495,plain,
% 2.90/2.39 (xuntil6(s47)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14494, 14492])).
% 2.90/2.39 tff(14496,plain,
% 2.90/2.39 (until5(s48)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7183, 14495])).
% 2.90/2.39 tff(14497,plain,
% 2.90/2.39 (~node4(s48)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7187, 113, 14258])).
% 2.90/2.39 tff(14498,plain,
% 2.90/2.39 (xuntil6(s48) | (~until5(s48))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7194, 225, 14497])).
% 2.90/2.39 tff(14499,plain,
% 2.90/2.39 (xuntil6(s48)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14498, 14496])).
% 2.90/2.39 tff(14500,plain,
% 2.90/2.39 (until5(s49)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7200, 14499])).
% 2.90/2.39 tff(14501,plain,
% 2.90/2.39 (~node4(s49)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7204, 113, 14257])).
% 2.90/2.39 tff(14502,plain,
% 2.90/2.39 (xuntil6(s49) | (~until5(s49))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7211, 225, 14501])).
% 2.90/2.39 tff(14503,plain,
% 2.90/2.39 (xuntil6(s49)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14502, 14500])).
% 2.90/2.39 tff(14504,plain,
% 2.90/2.39 (until5(s50)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7217, 14503])).
% 2.90/2.39 tff(14505,plain,
% 2.90/2.39 (~node4(s50)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7221, 113, 14256])).
% 2.90/2.39 tff(14506,plain,
% 2.90/2.39 (xuntil6(s50) | (~until5(s50))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7228, 225, 14505])).
% 2.90/2.39 tff(14507,plain,
% 2.90/2.39 (xuntil6(s50)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14506, 14504])).
% 2.90/2.39 tff(14508,plain,
% 2.90/2.39 (until5(s51)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7234, 14507])).
% 2.90/2.39 tff(14509,plain,
% 2.90/2.39 (~node4(s51)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7238, 113, 14255])).
% 2.90/2.39 tff(14510,plain,
% 2.90/2.39 (xuntil6(s51) | (~until5(s51))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7245, 225, 14509])).
% 2.90/2.39 tff(14511,plain,
% 2.90/2.39 (xuntil6(s51)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14510, 14508])).
% 2.90/2.39 tff(14512,plain,
% 2.90/2.39 (until5(s52)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7251, 14511])).
% 2.90/2.39 tff(14513,plain,
% 2.90/2.39 (~node4(s52)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7255, 113, 14254])).
% 2.90/2.39 tff(14514,plain,
% 2.90/2.39 (xuntil6(s52) | (~until5(s52))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7262, 225, 14513])).
% 2.90/2.39 tff(14515,plain,
% 2.90/2.39 (xuntil6(s52)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14514, 14512])).
% 2.90/2.39 tff(14516,plain,
% 2.90/2.39 (until5(s53)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7268, 14515])).
% 2.90/2.39 tff(14517,plain,
% 2.90/2.39 (~node4(s53)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7272, 113, 14253])).
% 2.90/2.39 tff(14518,plain,
% 2.90/2.39 (xuntil6(s53) | (~until5(s53))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7279, 225, 14517])).
% 2.90/2.39 tff(14519,plain,
% 2.90/2.39 (xuntil6(s53)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14518, 14516])).
% 2.90/2.39 tff(14520,plain,
% 2.90/2.39 (until5(s54)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7285, 14519])).
% 2.90/2.39 tff(14521,plain,
% 2.90/2.39 (~node4(s54)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7289, 113, 14252])).
% 2.90/2.39 tff(14522,plain,
% 2.90/2.39 (xuntil6(s54) | (~until5(s54))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7296, 225, 14521])).
% 2.90/2.39 tff(14523,plain,
% 2.90/2.39 (xuntil6(s54)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14522, 14520])).
% 2.90/2.39 tff(14524,plain,
% 2.90/2.39 (until5(s55)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7302, 14523])).
% 2.90/2.39 tff(14525,plain,
% 2.90/2.39 (~node4(s55)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7306, 113, 14251])).
% 2.90/2.39 tff(14526,plain,
% 2.90/2.39 (xuntil6(s55) | (~until5(s55))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7313, 225, 14525])).
% 2.90/2.39 tff(14527,plain,
% 2.90/2.39 (xuntil6(s55)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14526, 14524])).
% 2.90/2.39 tff(14528,plain,
% 2.90/2.39 (until5(s56)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7319, 14527])).
% 2.90/2.39 tff(14529,plain,
% 2.90/2.39 (~node4(s56)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7323, 113, 14250])).
% 2.90/2.39 tff(14530,plain,
% 2.90/2.39 (xuntil6(s56) | (~until5(s56))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7330, 225, 14529])).
% 2.90/2.39 tff(14531,plain,
% 2.90/2.39 (xuntil6(s56)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14530, 14528])).
% 2.90/2.39 tff(14532,plain,
% 2.90/2.39 (until5(s57)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7336, 14531])).
% 2.90/2.39 tff(14533,plain,
% 2.90/2.39 (~node4(s57)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7340, 113, 14249])).
% 2.90/2.39 tff(14534,plain,
% 2.90/2.39 (xuntil6(s57) | (~until5(s57))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7347, 225, 14533])).
% 2.90/2.39 tff(14535,plain,
% 2.90/2.39 (xuntil6(s57)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14534, 14532])).
% 2.90/2.39 tff(14536,plain,
% 2.90/2.39 (until5(s58)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7353, 14535])).
% 2.90/2.39 tff(14537,plain,
% 2.90/2.39 (~node4(s58)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7357, 113, 14248])).
% 2.90/2.39 tff(14538,plain,
% 2.90/2.39 (xuntil6(s58) | (~until5(s58))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7364, 225, 14537])).
% 2.90/2.39 tff(14539,plain,
% 2.90/2.39 (xuntil6(s58)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14538, 14536])).
% 2.90/2.39 tff(14540,plain,
% 2.90/2.39 (until5(s59)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7370, 14539])).
% 2.90/2.39 tff(14541,plain,
% 2.90/2.39 (~node4(s59)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7374, 113, 14247])).
% 2.90/2.39 tff(14542,plain,
% 2.90/2.39 (xuntil6(s59) | (~until5(s59))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7381, 225, 14541])).
% 2.90/2.39 tff(14543,plain,
% 2.90/2.39 (xuntil6(s59)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14542, 14540])).
% 2.90/2.39 tff(14544,plain,
% 2.90/2.39 (until5(s60)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7387, 14543])).
% 2.90/2.39 tff(14545,plain,
% 2.90/2.39 (~node4(s60)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7391, 113, 14246])).
% 2.90/2.39 tff(14546,plain,
% 2.90/2.39 (xuntil6(s60) | (~until5(s60))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7398, 225, 14545])).
% 2.90/2.39 tff(14547,plain,
% 2.90/2.39 (xuntil6(s60)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14546, 14544])).
% 2.90/2.39 tff(14548,plain,
% 2.90/2.39 (until5(s61)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7404, 14547])).
% 2.90/2.39 tff(14549,plain,
% 2.90/2.39 (~node4(s61)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7408, 113, 14245])).
% 2.90/2.39 tff(14550,plain,
% 2.90/2.39 (xuntil6(s61) | (~until5(s61))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7415, 225, 14549])).
% 2.90/2.39 tff(14551,plain,
% 2.90/2.39 (xuntil6(s61)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14550, 14548])).
% 2.90/2.39 tff(14552,plain,
% 2.90/2.39 (until5(s62)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7421, 14551])).
% 2.90/2.39 tff(14553,plain,
% 2.90/2.39 (~node4(s62)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7425, 113, 14244])).
% 2.90/2.39 tff(14554,plain,
% 2.90/2.39 (xuntil6(s62) | (~until5(s62))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7432, 225, 14553])).
% 2.90/2.39 tff(14555,plain,
% 2.90/2.39 (xuntil6(s62)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14554, 14552])).
% 2.90/2.39 tff(14556,plain,
% 2.90/2.39 (until5(s63)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7438, 14555])).
% 2.90/2.39 tff(14557,plain,
% 2.90/2.39 (~node4(s63)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7442, 113, 14243])).
% 2.90/2.39 tff(14558,plain,
% 2.90/2.39 (xuntil6(s63) | (~until5(s63))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7449, 225, 14557])).
% 2.90/2.39 tff(14559,plain,
% 2.90/2.39 (xuntil6(s63)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14558, 14556])).
% 2.90/2.39 tff(14560,plain,
% 2.90/2.39 (until5(s64)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7455, 14559])).
% 2.90/2.39 tff(14561,plain,
% 2.90/2.39 (~node4(s64)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7459, 113, 14242])).
% 2.90/2.39 tff(14562,plain,
% 2.90/2.39 (xuntil6(s64) | (~until5(s64))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7466, 225, 14561])).
% 2.90/2.39 tff(14563,plain,
% 2.90/2.39 (xuntil6(s64)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14562, 14560])).
% 2.90/2.39 tff(14564,plain,
% 2.90/2.39 (until5(s65)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7472, 14563])).
% 2.90/2.39 tff(14565,plain,
% 2.90/2.39 (~node4(s65)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7476, 113, 14241])).
% 2.90/2.39 tff(14566,plain,
% 2.90/2.39 (xuntil6(s65) | (~until5(s65))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7483, 225, 14565])).
% 2.90/2.39 tff(14567,plain,
% 2.90/2.39 (xuntil6(s65)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14566, 14564])).
% 2.90/2.39 tff(14568,plain,
% 2.90/2.39 (until5(s66)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7489, 14567])).
% 2.90/2.39 tff(14569,plain,
% 2.90/2.39 (~node4(s66)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7493, 113, 14240])).
% 2.90/2.39 tff(14570,plain,
% 2.90/2.39 (xuntil6(s66) | (~until5(s66))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7500, 225, 14569])).
% 2.90/2.39 tff(14571,plain,
% 2.90/2.39 (xuntil6(s66)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14570, 14568])).
% 2.90/2.39 tff(14572,plain,
% 2.90/2.39 (until5(s67)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7506, 14571])).
% 2.90/2.39 tff(14573,plain,
% 2.90/2.39 (~node4(s67)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7510, 113, 14239])).
% 2.90/2.39 tff(14574,plain,
% 2.90/2.39 (xuntil6(s67) | (~until5(s67))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7517, 225, 14573])).
% 2.90/2.39 tff(14575,plain,
% 2.90/2.39 (xuntil6(s67)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14574, 14572])).
% 2.90/2.39 tff(14576,plain,
% 2.90/2.39 (until5(s68)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7523, 14575])).
% 2.90/2.39 tff(14577,plain,
% 2.90/2.39 (~node4(s68)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7527, 113, 14238])).
% 2.90/2.39 tff(14578,plain,
% 2.90/2.39 (xuntil6(s68) | (~until5(s68))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7534, 225, 14577])).
% 2.90/2.39 tff(14579,plain,
% 2.90/2.39 (xuntil6(s68)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14578, 14576])).
% 2.90/2.39 tff(14580,plain,
% 2.90/2.39 (until5(s69)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7540, 14579])).
% 2.90/2.39 tff(14581,plain,
% 2.90/2.39 (~node4(s69)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7544, 113, 14237])).
% 2.90/2.39 tff(14582,plain,
% 2.90/2.39 (xuntil6(s69) | (~until5(s69))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7551, 225, 14581])).
% 2.90/2.39 tff(14583,plain,
% 2.90/2.39 (xuntil6(s69)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14582, 14580])).
% 2.90/2.39 tff(14584,plain,
% 2.90/2.39 (until5(s70)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7557, 14583])).
% 2.90/2.39 tff(14585,plain,
% 2.90/2.39 (~node4(s70)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7561, 113, 14236])).
% 2.90/2.39 tff(14586,plain,
% 2.90/2.39 (xuntil6(s70) | (~until5(s70))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7568, 225, 14585])).
% 2.90/2.39 tff(14587,plain,
% 2.90/2.39 (xuntil6(s70)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14586, 14584])).
% 2.90/2.39 tff(14588,plain,
% 2.90/2.39 (until5(s71)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7574, 14587])).
% 2.90/2.39 tff(14589,plain,
% 2.90/2.39 (~node4(s71)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7578, 113, 14235])).
% 2.90/2.39 tff(14590,plain,
% 2.90/2.39 (xuntil6(s71) | (~until5(s71))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7585, 225, 14589])).
% 2.90/2.39 tff(14591,plain,
% 2.90/2.39 (xuntil6(s71)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14590, 14588])).
% 2.90/2.39 tff(14592,plain,
% 2.90/2.39 (until5(s72)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7049, 14591])).
% 2.90/2.39 tff(14593,plain,
% 2.90/2.39 (~node4(s72)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7036, 113, 14234])).
% 2.90/2.39 tff(14594,plain,
% 2.90/2.39 (xuntil6(s72) | (~until5(s72))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7043, 225, 14593])).
% 2.90/2.39 tff(14595,plain,
% 2.90/2.39 (xuntil6(s72)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14594, 14592])).
% 2.90/2.39 tff(14596,plain,
% 2.90/2.39 (until5(s73)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7031, 14595])).
% 2.90/2.39 tff(14597,plain,
% 2.90/2.39 (~node4(s73)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7018, 113, 14233])).
% 2.90/2.39 tff(14598,plain,
% 2.90/2.39 (xuntil6(s73) | (~until5(s73))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7025, 225, 14597])).
% 2.90/2.39 tff(14599,plain,
% 2.90/2.39 (xuntil6(s73)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14598, 14596])).
% 2.90/2.39 tff(14600,plain,
% 2.90/2.39 (until5(s74)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7013, 14599])).
% 2.90/2.39 tff(14601,plain,
% 2.90/2.39 (~node4(s74)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7000, 113, 14232])).
% 2.90/2.39 tff(14602,plain,
% 2.90/2.39 (xuntil6(s74) | (~until5(s74))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[7007, 225, 14601])).
% 2.90/2.39 tff(14603,plain,
% 2.90/2.39 (xuntil6(s74)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14602, 14600])).
% 2.90/2.39 tff(14604,plain,
% 2.90/2.39 (until5(s75)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6995, 14603])).
% 2.90/2.39 tff(14605,plain,
% 2.90/2.39 (~node4(s75)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6982, 113, 14231])).
% 2.90/2.39 tff(14606,plain,
% 2.90/2.39 (xuntil6(s75) | (~until5(s75))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6989, 225, 14605])).
% 2.90/2.39 tff(14607,plain,
% 2.90/2.39 (xuntil6(s75)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14606, 14604])).
% 2.90/2.39 tff(14608,plain,
% 2.90/2.39 (until5(s76)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6977, 14607])).
% 2.90/2.39 tff(14609,plain,
% 2.90/2.39 (~node4(s76)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6964, 113, 14230])).
% 2.90/2.39 tff(14610,plain,
% 2.90/2.39 (xuntil6(s76) | (~until5(s76))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6971, 225, 14609])).
% 2.90/2.39 tff(14611,plain,
% 2.90/2.39 (xuntil6(s76)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14610, 14608])).
% 2.90/2.39 tff(14612,plain,
% 2.90/2.39 (until5(s77)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6959, 14611])).
% 2.90/2.39 tff(14613,plain,
% 2.90/2.39 (~node4(s77)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6946, 113, 14229])).
% 2.90/2.39 tff(14614,plain,
% 2.90/2.39 (xuntil6(s77) | (~until5(s77))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6953, 225, 14613])).
% 2.90/2.39 tff(14615,plain,
% 2.90/2.39 (xuntil6(s77)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14614, 14612])).
% 2.90/2.39 tff(14616,plain,
% 2.90/2.39 (until5(s78)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6941, 14615])).
% 2.90/2.39 tff(14617,plain,
% 2.90/2.39 (~node4(s78)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6928, 113, 14228])).
% 2.90/2.39 tff(14618,plain,
% 2.90/2.39 (xuntil6(s78) | (~until5(s78))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6935, 225, 14617])).
% 2.90/2.39 tff(14619,plain,
% 2.90/2.39 (xuntil6(s78)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14618, 14616])).
% 2.90/2.39 tff(14620,plain,
% 2.90/2.39 (until5(s79)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6923, 14619])).
% 2.90/2.39 tff(14621,plain,
% 2.90/2.39 (~node4(s79)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6910, 113, 14227])).
% 2.90/2.39 tff(14622,plain,
% 2.90/2.39 (xuntil6(s79) | (~until5(s79))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6917, 225, 14621])).
% 2.90/2.39 tff(14623,plain,
% 2.90/2.39 (xuntil6(s79)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14622, 14620])).
% 2.90/2.39 tff(14624,plain,
% 2.90/2.39 (until5(s80)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6905, 14623])).
% 2.90/2.39 tff(14625,plain,
% 2.90/2.39 (~node4(s80)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6892, 113, 14226])).
% 2.90/2.39 tff(14626,plain,
% 2.90/2.39 (xuntil6(s80) | (~until5(s80))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6899, 225, 14625])).
% 2.90/2.39 tff(14627,plain,
% 2.90/2.39 (xuntil6(s80)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14626, 14624])).
% 2.90/2.39 tff(14628,plain,
% 2.90/2.39 (until5(s81)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6887, 14627])).
% 2.90/2.39 tff(14629,plain,
% 2.90/2.39 (~node4(s81)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6874, 113, 14225])).
% 2.90/2.39 tff(14630,plain,
% 2.90/2.39 (xuntil6(s81) | (~until5(s81))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6881, 225, 14629])).
% 2.90/2.39 tff(14631,plain,
% 2.90/2.39 (xuntil6(s81)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14630, 14628])).
% 2.90/2.39 tff(14632,plain,
% 2.90/2.39 (until5(s82)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6869, 14631])).
% 2.90/2.39 tff(14633,plain,
% 2.90/2.39 (~node4(s82)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6856, 113, 14224])).
% 2.90/2.39 tff(14634,plain,
% 2.90/2.39 (xuntil6(s82) | (~until5(s82))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6863, 225, 14633])).
% 2.90/2.39 tff(14635,plain,
% 2.90/2.39 (xuntil6(s82)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14634, 14632])).
% 2.90/2.39 tff(14636,plain,
% 2.90/2.39 (until5(s83)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6851, 14635])).
% 2.90/2.39 tff(14637,plain,
% 2.90/2.39 (~node4(s83)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6838, 113, 14223])).
% 2.90/2.39 tff(14638,plain,
% 2.90/2.39 (xuntil6(s83) | (~until5(s83))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6845, 225, 14637])).
% 2.90/2.39 tff(14639,plain,
% 2.90/2.39 (xuntil6(s83)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14638, 14636])).
% 2.90/2.39 tff(14640,plain,
% 2.90/2.39 (until5(s84)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6833, 14639])).
% 2.90/2.39 tff(14641,plain,
% 2.90/2.39 (~node4(s84)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6820, 113, 14222])).
% 2.90/2.39 tff(14642,plain,
% 2.90/2.39 (xuntil6(s84) | (~until5(s84))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6827, 225, 14641])).
% 2.90/2.39 tff(14643,plain,
% 2.90/2.39 (xuntil6(s84)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14642, 14640])).
% 2.90/2.39 tff(14644,plain,
% 2.90/2.39 (until5(s85)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6815, 14643])).
% 2.90/2.39 tff(14645,plain,
% 2.90/2.39 (~node4(s85)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6802, 113, 14221])).
% 2.90/2.39 tff(14646,plain,
% 2.90/2.39 (xuntil6(s85) | (~until5(s85))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6809, 225, 14645])).
% 2.90/2.39 tff(14647,plain,
% 2.90/2.39 (xuntil6(s85)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14646, 14644])).
% 2.90/2.39 tff(14648,plain,
% 2.90/2.39 (until5(s86)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6797, 14647])).
% 2.90/2.39 tff(14649,plain,
% 2.90/2.39 (~node4(s86)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6784, 113, 14220])).
% 2.90/2.39 tff(14650,plain,
% 2.90/2.39 (xuntil6(s86) | (~until5(s86))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6791, 225, 14649])).
% 2.90/2.39 tff(14651,plain,
% 2.90/2.39 (xuntil6(s86)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14650, 14648])).
% 2.90/2.39 tff(14652,plain,
% 2.90/2.39 (until5(s87)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6779, 14651])).
% 2.90/2.39 tff(14653,plain,
% 2.90/2.39 (~node4(s87)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6766, 113, 14219])).
% 2.90/2.39 tff(14654,plain,
% 2.90/2.39 (xuntil6(s87) | (~until5(s87))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6773, 225, 14653])).
% 2.90/2.39 tff(14655,plain,
% 2.90/2.39 (xuntil6(s87)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14654, 14652])).
% 2.90/2.39 tff(14656,plain,
% 2.90/2.39 (until5(s88)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6761, 14655])).
% 2.90/2.39 tff(14657,plain,
% 2.90/2.39 (~node4(s88)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6748, 113, 14218])).
% 2.90/2.39 tff(14658,plain,
% 2.90/2.39 (xuntil6(s88) | (~until5(s88))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6755, 225, 14657])).
% 2.90/2.39 tff(14659,plain,
% 2.90/2.39 (xuntil6(s88)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14658, 14656])).
% 2.90/2.39 tff(14660,plain,
% 2.90/2.39 (until5(s89)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6743, 14659])).
% 2.90/2.39 tff(14661,plain,
% 2.90/2.39 (~node4(s89)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6730, 113, 14217])).
% 2.90/2.39 tff(14662,plain,
% 2.90/2.39 (xuntil6(s89) | (~until5(s89))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6737, 225, 14661])).
% 2.90/2.39 tff(14663,plain,
% 2.90/2.39 (xuntil6(s89)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14662, 14660])).
% 2.90/2.39 tff(14664,plain,
% 2.90/2.39 (until5(s90)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6725, 14663])).
% 2.90/2.39 tff(14665,plain,
% 2.90/2.39 (~node4(s90)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6712, 113, 14216])).
% 2.90/2.39 tff(14666,plain,
% 2.90/2.39 (xuntil6(s90) | (~until5(s90))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6719, 225, 14665])).
% 2.90/2.39 tff(14667,plain,
% 2.90/2.39 (xuntil6(s90)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14666, 14664])).
% 2.90/2.39 tff(14668,plain,
% 2.90/2.39 (until5(s91)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6707, 14667])).
% 2.90/2.39 tff(14669,plain,
% 2.90/2.39 (~node4(s91)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6694, 113, 14215])).
% 2.90/2.39 tff(14670,plain,
% 2.90/2.39 (xuntil6(s91) | (~until5(s91))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6701, 225, 14669])).
% 2.90/2.39 tff(14671,plain,
% 2.90/2.39 (xuntil6(s91)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14670, 14668])).
% 2.90/2.39 tff(14672,plain,
% 2.90/2.39 (until5(s92)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6689, 14671])).
% 2.90/2.39 tff(14673,plain,
% 2.90/2.39 (~node4(s92)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6676, 113, 14214])).
% 2.90/2.39 tff(14674,plain,
% 2.90/2.39 (xuntil6(s92) | (~until5(s92))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6683, 225, 14673])).
% 2.90/2.39 tff(14675,plain,
% 2.90/2.39 (xuntil6(s92)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14674, 14672])).
% 2.90/2.39 tff(14676,plain,
% 2.90/2.39 (until5(s93)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6671, 14675])).
% 2.90/2.39 tff(14677,plain,
% 2.90/2.39 (~node4(s93)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6658, 113, 14213])).
% 2.90/2.39 tff(14678,plain,
% 2.90/2.39 (xuntil6(s93) | (~until5(s93))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6665, 225, 14677])).
% 2.90/2.39 tff(14679,plain,
% 2.90/2.39 (xuntil6(s93)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14678, 14676])).
% 2.90/2.39 tff(14680,plain,
% 2.90/2.39 (until5(s94)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6653, 14679])).
% 2.90/2.39 tff(14681,plain,
% 2.90/2.39 (~node4(s94)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6640, 113, 14212])).
% 2.90/2.39 tff(14682,plain,
% 2.90/2.39 (xuntil6(s94) | (~until5(s94))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6647, 225, 14681])).
% 2.90/2.39 tff(14683,plain,
% 2.90/2.39 (xuntil6(s94)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14682, 14680])).
% 2.90/2.39 tff(14684,plain,
% 2.90/2.39 (until5(s95)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6635, 14683])).
% 2.90/2.39 tff(14685,plain,
% 2.90/2.39 (~node4(s95)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6622, 113, 14211])).
% 2.90/2.39 tff(14686,plain,
% 2.90/2.39 (xuntil6(s95) | (~until5(s95))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6629, 225, 14685])).
% 2.90/2.39 tff(14687,plain,
% 2.90/2.39 (xuntil6(s95)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14686, 14684])).
% 2.90/2.39 tff(14688,plain,
% 2.90/2.39 (until5(s96)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6617, 14687])).
% 2.90/2.39 tff(14689,plain,
% 2.90/2.39 (~node4(s96)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6604, 113, 14210])).
% 2.90/2.39 tff(14690,plain,
% 2.90/2.39 (xuntil6(s96) | (~until5(s96))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6611, 225, 14689])).
% 2.90/2.39 tff(14691,plain,
% 2.90/2.39 (xuntil6(s96)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14690, 14688])).
% 2.90/2.39 tff(14692,plain,
% 2.90/2.39 (until5(s97)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6599, 14691])).
% 2.90/2.39 tff(14693,plain,
% 2.90/2.39 (~node4(s97)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6586, 113, 14209])).
% 2.90/2.39 tff(14694,plain,
% 2.90/2.39 (xuntil6(s97) | (~until5(s97))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6593, 225, 14693])).
% 2.90/2.39 tff(14695,plain,
% 2.90/2.39 (xuntil6(s97)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14694, 14692])).
% 2.90/2.39 tff(14696,plain,
% 2.90/2.39 (until5(s98)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6581, 14695])).
% 2.90/2.39 tff(14697,plain,
% 2.90/2.39 (~node4(s98)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6568, 113, 14208])).
% 2.90/2.39 tff(14698,plain,
% 2.90/2.39 (xuntil6(s98) | (~until5(s98))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6575, 225, 14697])).
% 2.90/2.39 tff(14699,plain,
% 2.90/2.39 (xuntil6(s98)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14698, 14696])).
% 2.90/2.39 tff(14700,plain,
% 2.90/2.39 (until5(s99)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6563, 14699])).
% 2.90/2.39 tff(14701,plain,
% 2.90/2.39 (~node4(s99)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6550, 113, 14207])).
% 2.90/2.39 tff(14702,plain,
% 2.90/2.39 (xuntil6(s99) | (~until5(s99))),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6557, 225, 14701])).
% 2.90/2.39 tff(14703,plain,
% 2.90/2.39 (xuntil6(s99)),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[14702, 14700])).
% 2.90/2.39 tff(14704,plain,
% 2.90/2.39 ($false),
% 2.90/2.39 inference(unit_resolution,[status(thm)],[6545, 14703, 14206])).
% 2.90/2.39 tff(14705,plain,(loop), inference(lemma,lemma(discharge,[]))).
% 2.90/2.39 tff(14706,plain,
% 2.90/2.39 (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199))),
% 2.92/2.40 inference(rewrite,[status(thm)],[])).
% 2.92/2.40 tff(14707,plain,
% 2.92/2.40 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198)) | trans(s199, s199)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199))),
% 2.92/2.41 inference(rewrite,[status(thm)],[])).
% 2.92/2.41 tff(14708,plain,
% 2.92/2.41 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197)) | trans(s199, s198)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198))),
% 2.92/2.41 inference(rewrite,[status(thm)],[])).
% 2.92/2.41 tff(14709,plain,
% 2.92/2.41 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196)) | trans(s199, s197)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197))),
% 2.92/2.42 inference(rewrite,[status(thm)],[])).
% 2.92/2.42 tff(14710,plain,
% 2.92/2.42 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195)) | trans(s199, s196)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196))),
% 2.95/2.43 inference(rewrite,[status(thm)],[])).
% 2.95/2.43 tff(14711,plain,
% 2.95/2.43 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194)) | trans(s199, s195)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195))),
% 2.95/2.43 inference(rewrite,[status(thm)],[])).
% 2.95/2.43 tff(14712,plain,
% 2.95/2.43 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193)) | trans(s199, s194)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194))),
% 2.95/2.43 inference(rewrite,[status(thm)],[])).
% 2.95/2.43 tff(14713,plain,
% 2.95/2.43 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192)) | trans(s199, s193)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193))),
% 2.95/2.44 inference(rewrite,[status(thm)],[])).
% 2.95/2.44 tff(14714,plain,
% 2.95/2.44 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191)) | trans(s199, s192)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192))),
% 2.95/2.45 inference(rewrite,[status(thm)],[])).
% 2.95/2.45 tff(14715,plain,
% 2.95/2.45 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190)) | trans(s199, s191)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191))),
% 2.95/2.45 inference(rewrite,[status(thm)],[])).
% 2.95/2.45 tff(14716,plain,
% 2.95/2.45 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189)) | trans(s199, s190)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190))),
% 2.95/2.46 inference(rewrite,[status(thm)],[])).
% 2.95/2.46 tff(14717,plain,
% 2.95/2.46 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188)) | trans(s199, s189)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189))),
% 2.95/2.46 inference(rewrite,[status(thm)],[])).
% 2.95/2.47 tff(14718,plain,
% 2.95/2.47 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187)) | trans(s199, s188)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188))),
% 2.95/2.47 inference(rewrite,[status(thm)],[])).
% 2.95/2.47 tff(14719,plain,
% 2.95/2.47 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186)) | trans(s199, s187)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187))),
% 2.95/2.48 inference(rewrite,[status(thm)],[])).
% 2.95/2.48 tff(14720,plain,
% 2.95/2.48 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185)) | trans(s199, s186)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186))),
% 2.95/2.48 inference(rewrite,[status(thm)],[])).
% 2.95/2.48 tff(14721,plain,
% 2.95/2.48 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184)) | trans(s199, s185)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185))),
% 2.95/2.49 inference(rewrite,[status(thm)],[])).
% 2.95/2.49 tff(14722,plain,
% 2.95/2.49 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183)) | trans(s199, s184)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184))),
% 2.95/2.49 inference(rewrite,[status(thm)],[])).
% 2.95/2.49 tff(14723,plain,
% 2.95/2.49 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182)) | trans(s199, s183)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183))),
% 3.02/2.50 inference(rewrite,[status(thm)],[])).
% 3.02/2.50 tff(14724,plain,
% 3.02/2.50 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181)) | trans(s199, s182)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182))),
% 3.02/2.51 inference(rewrite,[status(thm)],[])).
% 3.02/2.51 tff(14725,plain,
% 3.02/2.51 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180)) | trans(s199, s181)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181))),
% 3.02/2.51 inference(rewrite,[status(thm)],[])).
% 3.02/2.51 tff(14726,plain,
% 3.02/2.51 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179)) | trans(s199, s180)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180))),
% 3.02/2.51 inference(rewrite,[status(thm)],[])).
% 3.02/2.51 tff(14727,plain,
% 3.02/2.51 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178)) | trans(s199, s179)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179))),
% 3.02/2.52 inference(rewrite,[status(thm)],[])).
% 3.02/2.52 tff(14728,plain,
% 3.02/2.52 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177)) | trans(s199, s178)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178))),
% 3.02/2.53 inference(rewrite,[status(thm)],[])).
% 3.02/2.53 tff(14729,plain,
% 3.02/2.53 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176)) | trans(s199, s177)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177))),
% 3.02/2.53 inference(rewrite,[status(thm)],[])).
% 3.02/2.53 tff(14730,plain,
% 3.02/2.53 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175)) | trans(s199, s176)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176))),
% 3.02/2.54 inference(rewrite,[status(thm)],[])).
% 3.02/2.54 tff(14731,plain,
% 3.02/2.54 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174)) | trans(s199, s175)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175))),
% 3.02/2.54 inference(rewrite,[status(thm)],[])).
% 3.02/2.54 tff(14732,plain,
% 3.02/2.54 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173)) | trans(s199, s174)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174))),
% 3.02/2.55 inference(rewrite,[status(thm)],[])).
% 3.02/2.55 tff(14733,plain,
% 3.02/2.55 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172)) | trans(s199, s173)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173))),
% 3.02/2.55 inference(rewrite,[status(thm)],[])).
% 3.02/2.55 tff(14734,plain,
% 3.02/2.55 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171)) | trans(s199, s172)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172))),
% 3.02/2.56 inference(rewrite,[status(thm)],[])).
% 3.02/2.56 tff(14735,plain,
% 3.02/2.56 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170)) | trans(s199, s171)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171))),
% 3.02/2.57 inference(rewrite,[status(thm)],[])).
% 3.02/2.57 tff(14736,plain,
% 3.02/2.57 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169)) | trans(s199, s170)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170))),
% 3.02/2.57 inference(rewrite,[status(thm)],[])).
% 3.02/2.57 tff(14737,plain,
% 3.02/2.57 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168)) | trans(s199, s169)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169))),
% 3.10/2.58 inference(rewrite,[status(thm)],[])).
% 3.10/2.58 tff(14738,plain,
% 3.10/2.58 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167)) | trans(s199, s168)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168))),
% 3.10/2.58 inference(rewrite,[status(thm)],[])).
% 3.10/2.58 tff(14739,plain,
% 3.10/2.58 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166)) | trans(s199, s167)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167))),
% 3.10/2.59 inference(rewrite,[status(thm)],[])).
% 3.10/2.59 tff(14740,plain,
% 3.10/2.59 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165)) | trans(s199, s166)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166))),
% 3.10/2.59 inference(rewrite,[status(thm)],[])).
% 3.10/2.59 tff(14741,plain,
% 3.10/2.59 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164)) | trans(s199, s165)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165))),
% 3.10/2.60 inference(rewrite,[status(thm)],[])).
% 3.10/2.60 tff(14742,plain,
% 3.10/2.60 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163)) | trans(s199, s164)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164))),
% 3.10/2.60 inference(rewrite,[status(thm)],[])).
% 3.10/2.60 tff(14743,plain,
% 3.10/2.60 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162)) | trans(s199, s163)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163))),
% 3.10/2.61 inference(rewrite,[status(thm)],[])).
% 3.10/2.61 tff(14744,plain,
% 3.10/2.61 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161)) | trans(s199, s162)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162))),
% 3.10/2.61 inference(rewrite,[status(thm)],[])).
% 3.10/2.61 tff(14745,plain,
% 3.10/2.61 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160)) | trans(s199, s161)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161))),
% 3.10/2.62 inference(rewrite,[status(thm)],[])).
% 3.10/2.62 tff(14746,plain,
% 3.10/2.62 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159)) | trans(s199, s160)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160))),
% 3.10/2.62 inference(rewrite,[status(thm)],[])).
% 3.10/2.62 tff(14747,plain,
% 3.10/2.62 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158)) | trans(s199, s159)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159))),
% 3.10/2.63 inference(rewrite,[status(thm)],[])).
% 3.10/2.63 tff(14748,plain,
% 3.10/2.63 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157)) | trans(s199, s158)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158))),
% 3.10/2.63 inference(rewrite,[status(thm)],[])).
% 3.10/2.63 tff(14749,plain,
% 3.10/2.63 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156)) | trans(s199, s157)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157))),
% 3.10/2.64 inference(rewrite,[status(thm)],[])).
% 3.10/2.64 tff(14750,plain,
% 3.10/2.64 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155)) | trans(s199, s156)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156))),
% 3.10/2.64 inference(rewrite,[status(thm)],[])).
% 3.10/2.64 tff(14751,plain,
% 3.10/2.64 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154)) | trans(s199, s155)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155))),
% 3.10/2.65 inference(rewrite,[status(thm)],[])).
% 3.10/2.65 tff(14752,plain,
% 3.10/2.65 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153)) | trans(s199, s154)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154))),
% 3.10/2.65 inference(rewrite,[status(thm)],[])).
% 3.10/2.65 tff(14753,plain,
% 3.10/2.65 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152)) | trans(s199, s153)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153))),
% 3.10/2.66 inference(rewrite,[status(thm)],[])).
% 3.10/2.66 tff(14754,plain,
% 3.10/2.66 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151)) | trans(s199, s152)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152))),
% 3.10/2.66 inference(rewrite,[status(thm)],[])).
% 3.10/2.66 tff(14755,plain,
% 3.10/2.66 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150)) | trans(s199, s151)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151))),
% 3.10/2.67 inference(rewrite,[status(thm)],[])).
% 3.10/2.67 tff(14756,plain,
% 3.10/2.67 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149)) | trans(s199, s150)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150))),
% 3.10/2.67 inference(rewrite,[status(thm)],[])).
% 3.10/2.67 tff(14757,plain,
% 3.10/2.67 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148)) | trans(s199, s149)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149))),
% 3.20/2.67 inference(rewrite,[status(thm)],[])).
% 3.20/2.67 tff(14758,plain,
% 3.20/2.67 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147)) | trans(s199, s148)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148))),
% 3.20/2.68 inference(rewrite,[status(thm)],[])).
% 3.20/2.68 tff(14759,plain,
% 3.20/2.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146)) | trans(s199, s147)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147))),
% 3.20/2.68 inference(rewrite,[status(thm)],[])).
% 3.20/2.68 tff(14760,plain,
% 3.20/2.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145)) | trans(s199, s146)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146))),
% 3.20/2.69 inference(rewrite,[status(thm)],[])).
% 3.20/2.69 tff(14761,plain,
% 3.20/2.69 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144)) | trans(s199, s145)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145))),
% 3.20/2.69 inference(rewrite,[status(thm)],[])).
% 3.20/2.69 tff(14762,plain,
% 3.20/2.69 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143)) | trans(s199, s144)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144))),
% 3.22/2.70 inference(rewrite,[status(thm)],[])).
% 3.22/2.70 tff(14763,plain,
% 3.22/2.70 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142)) | trans(s199, s143)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143))),
% 3.22/2.70 inference(rewrite,[status(thm)],[])).
% 3.22/2.70 tff(14764,plain,
% 3.22/2.70 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141)) | trans(s199, s142)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142))),
% 3.22/2.71 inference(rewrite,[status(thm)],[])).
% 3.22/2.71 tff(14765,plain,
% 3.22/2.71 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140)) | trans(s199, s141)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141))),
% 3.22/2.71 inference(rewrite,[status(thm)],[])).
% 3.22/2.71 tff(14766,plain,
% 3.22/2.71 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139)) | trans(s199, s140)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140))),
% 3.22/2.72 inference(rewrite,[status(thm)],[])).
% 3.22/2.72 tff(14767,plain,
% 3.22/2.72 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138)) | trans(s199, s139)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139))),
% 3.25/2.72 inference(rewrite,[status(thm)],[])).
% 3.25/2.72 tff(14768,plain,
% 3.25/2.72 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137)) | trans(s199, s138)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138))),
% 3.25/2.73 inference(rewrite,[status(thm)],[])).
% 3.25/2.73 tff(14769,plain,
% 3.25/2.73 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136)) | trans(s199, s137)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137))),
% 3.25/2.73 inference(rewrite,[status(thm)],[])).
% 3.25/2.73 tff(14770,plain,
% 3.25/2.73 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135)) | trans(s199, s136)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136))),
% 3.25/2.73 inference(rewrite,[status(thm)],[])).
% 3.25/2.73 tff(14771,plain,
% 3.25/2.73 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134)) | trans(s199, s135)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135))),
% 3.25/2.74 inference(rewrite,[status(thm)],[])).
% 3.25/2.74 tff(14772,plain,
% 3.25/2.74 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133)) | trans(s199, s134)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134))),
% 3.25/2.74 inference(rewrite,[status(thm)],[])).
% 3.25/2.74 tff(14773,plain,
% 3.25/2.74 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132)) | trans(s199, s133)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133))),
% 3.25/2.75 inference(rewrite,[status(thm)],[])).
% 3.25/2.75 tff(14774,plain,
% 3.25/2.75 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131)) | trans(s199, s132)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132))),
% 3.25/2.75 inference(rewrite,[status(thm)],[])).
% 3.25/2.75 tff(14775,plain,
% 3.25/2.75 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130)) | trans(s199, s131)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131))),
% 3.25/2.76 inference(rewrite,[status(thm)],[])).
% 3.25/2.76 tff(14776,plain,
% 3.25/2.76 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129)) | trans(s199, s130)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130))),
% 3.25/2.76 inference(rewrite,[status(thm)],[])).
% 3.25/2.76 tff(14777,plain,
% 3.25/2.76 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128)) | trans(s199, s129)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129))),
% 3.25/2.76 inference(rewrite,[status(thm)],[])).
% 3.25/2.76 tff(14778,plain,
% 3.25/2.76 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127)) | trans(s199, s128)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128))),
% 3.25/2.77 inference(rewrite,[status(thm)],[])).
% 3.25/2.77 tff(14779,plain,
% 3.25/2.77 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126)) | trans(s199, s127)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127))),
% 3.25/2.77 inference(rewrite,[status(thm)],[])).
% 3.25/2.77 tff(14780,plain,
% 3.25/2.77 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125)) | trans(s199, s126)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126))),
% 3.25/2.78 inference(rewrite,[status(thm)],[])).
% 3.25/2.78 tff(14781,plain,
% 3.25/2.78 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124)) | trans(s199, s125)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125))),
% 3.25/2.78 inference(rewrite,[status(thm)],[])).
% 3.25/2.78 tff(14782,plain,
% 3.25/2.78 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123)) | trans(s199, s124)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124))),
% 3.25/2.78 inference(rewrite,[status(thm)],[])).
% 3.25/2.78 tff(14783,plain,
% 3.25/2.78 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122)) | trans(s199, s123)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123))),
% 3.25/2.78 inference(rewrite,[status(thm)],[])).
% 3.25/2.78 tff(14784,plain,
% 3.25/2.78 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121)) | trans(s199, s122)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122))),
% 3.25/2.79 inference(rewrite,[status(thm)],[])).
% 3.25/2.79 tff(14785,plain,
% 3.25/2.79 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120)) | trans(s199, s121)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121))),
% 3.25/2.79 inference(rewrite,[status(thm)],[])).
% 3.25/2.79 tff(14786,plain,
% 3.25/2.79 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119)) | trans(s199, s120)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120))),
% 3.25/2.80 inference(rewrite,[status(thm)],[])).
% 3.25/2.80 tff(14787,plain,
% 3.25/2.80 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118)) | trans(s199, s119)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119))),
% 3.25/2.80 inference(rewrite,[status(thm)],[])).
% 3.25/2.80 tff(14788,plain,
% 3.25/2.80 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117)) | trans(s199, s118)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118))),
% 3.25/2.80 inference(rewrite,[status(thm)],[])).
% 3.25/2.80 tff(14789,plain,
% 3.25/2.80 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116)) | trans(s199, s117)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117))),
% 3.25/2.81 inference(rewrite,[status(thm)],[])).
% 3.25/2.81 tff(14790,plain,
% 3.25/2.81 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115)) | trans(s199, s116)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116))),
% 3.25/2.81 inference(rewrite,[status(thm)],[])).
% 3.25/2.81 tff(14791,plain,
% 3.25/2.81 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114)) | trans(s199, s115)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115))),
% 3.34/2.81 inference(rewrite,[status(thm)],[])).
% 3.34/2.81 tff(14792,plain,
% 3.34/2.81 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113)) | trans(s199, s114)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114))),
% 3.34/2.82 inference(rewrite,[status(thm)],[])).
% 3.34/2.82 tff(14793,plain,
% 3.34/2.82 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112)) | trans(s199, s113)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113))),
% 3.34/2.82 inference(rewrite,[status(thm)],[])).
% 3.34/2.82 tff(14794,plain,
% 3.34/2.82 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111)) | trans(s199, s112)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112))),
% 3.34/2.83 inference(rewrite,[status(thm)],[])).
% 3.34/2.83 tff(14795,plain,
% 3.34/2.83 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110)) | trans(s199, s111)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111))),
% 3.34/2.83 inference(rewrite,[status(thm)],[])).
% 3.34/2.83 tff(14796,plain,
% 3.34/2.83 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109)) | trans(s199, s110)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110))),
% 3.34/2.83 inference(rewrite,[status(thm)],[])).
% 3.34/2.83 tff(14797,plain,
% 3.34/2.83 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108)) | trans(s199, s109)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109))),
% 3.34/2.84 inference(rewrite,[status(thm)],[])).
% 3.34/2.84 tff(14798,plain,
% 3.34/2.84 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107)) | trans(s199, s108)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108))),
% 3.34/2.84 inference(rewrite,[status(thm)],[])).
% 3.34/2.84 tff(14799,plain,
% 3.34/2.84 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106)) | trans(s199, s107)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107))),
% 3.34/2.84 inference(rewrite,[status(thm)],[])).
% 3.34/2.84 tff(14800,plain,
% 3.34/2.84 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105)) | trans(s199, s106)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106))),
% 3.34/2.85 inference(rewrite,[status(thm)],[])).
% 3.34/2.85 tff(14801,plain,
% 3.34/2.85 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104)) | trans(s199, s105)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105))),
% 3.34/2.85 inference(rewrite,[status(thm)],[])).
% 3.34/2.85 tff(14802,plain,
% 3.34/2.85 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103)) | trans(s199, s104)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104))),
% 3.34/2.85 inference(rewrite,[status(thm)],[])).
% 3.34/2.85 tff(14803,plain,
% 3.34/2.85 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102)) | trans(s199, s103)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103))),
% 3.34/2.86 inference(rewrite,[status(thm)],[])).
% 3.34/2.86 tff(14804,plain,
% 3.34/2.86 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101)) | trans(s199, s102)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102))),
% 3.34/2.86 inference(rewrite,[status(thm)],[])).
% 3.34/2.86 tff(14805,plain,
% 3.34/2.86 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100)) | trans(s199, s101)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101))),
% 3.34/2.86 inference(rewrite,[status(thm)],[])).
% 3.34/2.86 tff(14806,plain,
% 3.34/2.86 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99)) | trans(s199, s100)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100))),
% 3.34/2.87 inference(rewrite,[status(thm)],[])).
% 3.34/2.87 tff(14807,plain,
% 3.34/2.87 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98)) | trans(s199, s99)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99))),
% 3.34/2.87 inference(rewrite,[status(thm)],[])).
% 3.34/2.87 tff(14808,plain,
% 3.34/2.87 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97)) | trans(s199, s98)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98))),
% 3.34/2.87 inference(rewrite,[status(thm)],[])).
% 3.34/2.87 tff(14809,plain,
% 3.34/2.87 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96)) | trans(s199, s97)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97))),
% 3.34/2.88 inference(rewrite,[status(thm)],[])).
% 3.34/2.88 tff(14810,plain,
% 3.34/2.88 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95)) | trans(s199, s96)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96))),
% 3.34/2.88 inference(rewrite,[status(thm)],[])).
% 3.34/2.88 tff(14811,plain,
% 3.34/2.88 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94)) | trans(s199, s95)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95))),
% 3.34/2.88 inference(rewrite,[status(thm)],[])).
% 3.34/2.88 tff(14812,plain,
% 3.34/2.88 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93)) | trans(s199, s94)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94))),
% 3.34/2.88 inference(rewrite,[status(thm)],[])).
% 3.34/2.88 tff(14813,plain,
% 3.34/2.88 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92)) | trans(s199, s93)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93))),
% 3.34/2.89 inference(rewrite,[status(thm)],[])).
% 3.34/2.89 tff(14814,plain,
% 3.34/2.89 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91)) | trans(s199, s92)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92))),
% 3.42/2.89 inference(rewrite,[status(thm)],[])).
% 3.42/2.89 tff(14815,plain,
% 3.42/2.89 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90)) | trans(s199, s91)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91))),
% 3.42/2.89 inference(rewrite,[status(thm)],[])).
% 3.42/2.89 tff(14816,plain,
% 3.42/2.89 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89)) | trans(s199, s90)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90))),
% 3.42/2.90 inference(rewrite,[status(thm)],[])).
% 3.42/2.90 tff(14817,plain,
% 3.42/2.90 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88)) | trans(s199, s89)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89))),
% 3.42/2.90 inference(rewrite,[status(thm)],[])).
% 3.42/2.90 tff(14818,plain,
% 3.42/2.90 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87)) | trans(s199, s88)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88))),
% 3.42/2.90 inference(rewrite,[status(thm)],[])).
% 3.42/2.90 tff(14819,plain,
% 3.42/2.90 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86)) | trans(s199, s87)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87))),
% 3.42/2.90 inference(rewrite,[status(thm)],[])).
% 3.42/2.90 tff(14820,plain,
% 3.42/2.90 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85)) | trans(s199, s86)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86))),
% 3.42/2.91 inference(rewrite,[status(thm)],[])).
% 3.42/2.91 tff(14821,plain,
% 3.42/2.91 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84)) | trans(s199, s85)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85))),
% 3.42/2.91 inference(rewrite,[status(thm)],[])).
% 3.42/2.91 tff(14822,plain,
% 3.42/2.91 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83)) | trans(s199, s84)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84))),
% 3.42/2.91 inference(rewrite,[status(thm)],[])).
% 3.42/2.91 tff(14823,plain,
% 3.42/2.91 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82)) | trans(s199, s83)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83))),
% 3.42/2.92 inference(rewrite,[status(thm)],[])).
% 3.42/2.92 tff(14824,plain,
% 3.42/2.92 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81)) | trans(s199, s82)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82))),
% 3.42/2.92 inference(rewrite,[status(thm)],[])).
% 3.42/2.92 tff(14825,plain,
% 3.42/2.92 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80)) | trans(s199, s81)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81))),
% 3.42/2.92 inference(rewrite,[status(thm)],[])).
% 3.42/2.92 tff(14826,plain,
% 3.42/2.92 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79)) | trans(s199, s80)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80))),
% 3.42/2.92 inference(rewrite,[status(thm)],[])).
% 3.42/2.92 tff(14827,plain,
% 3.42/2.92 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78)) | trans(s199, s79)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79))),
% 3.42/2.93 inference(rewrite,[status(thm)],[])).
% 3.42/2.93 tff(14828,plain,
% 3.42/2.93 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77)) | trans(s199, s78)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78))),
% 3.42/2.93 inference(rewrite,[status(thm)],[])).
% 3.42/2.93 tff(14829,plain,
% 3.42/2.93 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76)) | trans(s199, s77)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77))),
% 3.42/2.93 inference(rewrite,[status(thm)],[])).
% 3.42/2.93 tff(14830,plain,
% 3.42/2.93 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75)) | trans(s199, s76)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76))),
% 3.42/2.93 inference(rewrite,[status(thm)],[])).
% 3.42/2.93 tff(14831,plain,
% 3.42/2.93 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74)) | trans(s199, s75)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75))),
% 3.42/2.94 inference(rewrite,[status(thm)],[])).
% 3.42/2.94 tff(14832,plain,
% 3.42/2.94 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73)) | trans(s199, s74)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74))),
% 3.42/2.94 inference(rewrite,[status(thm)],[])).
% 3.42/2.94 tff(14833,plain,
% 3.42/2.94 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72)) | trans(s199, s73)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73))),
% 3.42/2.94 inference(rewrite,[status(thm)],[])).
% 3.42/2.94 tff(14834,plain,
% 3.42/2.94 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71)) | trans(s199, s72)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72))),
% 3.42/2.94 inference(rewrite,[status(thm)],[])).
% 3.42/2.94 tff(14835,plain,
% 3.42/2.94 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70)) | trans(s199, s71)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71))),
% 3.42/2.94 inference(rewrite,[status(thm)],[])).
% 3.42/2.94 tff(14836,plain,
% 3.42/2.94 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69)) | trans(s199, s70)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70))),
% 3.42/2.95 inference(rewrite,[status(thm)],[])).
% 3.42/2.95 tff(14837,plain,
% 3.42/2.95 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68)) | trans(s199, s69)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69))),
% 3.42/2.95 inference(rewrite,[status(thm)],[])).
% 3.42/2.95 tff(14838,plain,
% 3.42/2.95 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67)) | trans(s199, s68)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68))),
% 3.42/2.95 inference(rewrite,[status(thm)],[])).
% 3.42/2.95 tff(14839,plain,
% 3.42/2.95 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66)) | trans(s199, s67)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67))),
% 3.42/2.95 inference(rewrite,[status(thm)],[])).
% 3.42/2.95 tff(14840,plain,
% 3.42/2.95 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65)) | trans(s199, s66)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66))),
% 3.42/2.96 inference(rewrite,[status(thm)],[])).
% 3.42/2.96 tff(14841,plain,
% 3.42/2.96 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64)) | trans(s199, s65)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65))),
% 3.42/2.96 inference(rewrite,[status(thm)],[])).
% 3.42/2.96 tff(14842,plain,
% 3.42/2.96 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63)) | trans(s199, s64)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64))),
% 3.42/2.96 inference(rewrite,[status(thm)],[])).
% 3.42/2.96 tff(14843,plain,
% 3.42/2.96 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62)) | trans(s199, s63)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63))),
% 3.42/2.96 inference(rewrite,[status(thm)],[])).
% 3.42/2.96 tff(14844,plain,
% 3.42/2.96 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61)) | trans(s199, s62)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62))),
% 3.42/2.96 inference(rewrite,[status(thm)],[])).
% 3.42/2.96 tff(14845,plain,
% 3.42/2.96 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60)) | trans(s199, s61)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61))),
% 3.42/2.97 inference(rewrite,[status(thm)],[])).
% 3.42/2.97 tff(14846,plain,
% 3.42/2.97 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59)) | trans(s199, s60)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60))),
% 3.42/2.97 inference(rewrite,[status(thm)],[])).
% 3.42/2.97 tff(14847,plain,
% 3.42/2.97 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58)) | trans(s199, s59)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59))),
% 3.42/2.97 inference(rewrite,[status(thm)],[])).
% 3.42/2.97 tff(14848,plain,
% 3.42/2.97 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57)) | trans(s199, s58)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58))),
% 3.42/2.97 inference(rewrite,[status(thm)],[])).
% 3.42/2.97 tff(14849,plain,
% 3.42/2.97 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56)) | trans(s199, s57)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57))),
% 3.42/2.97 inference(rewrite,[status(thm)],[])).
% 3.42/2.97 tff(14850,plain,
% 3.42/2.97 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55)) | trans(s199, s56)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56))),
% 3.42/2.97 inference(rewrite,[status(thm)],[])).
% 3.42/2.97 tff(14851,plain,
% 3.42/2.97 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54)) | trans(s199, s55)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55))),
% 3.42/2.97 inference(rewrite,[status(thm)],[])).
% 3.42/2.97 tff(14852,plain,
% 3.42/2.97 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53)) | trans(s199, s54)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54))),
% 3.42/2.98 inference(rewrite,[status(thm)],[])).
% 3.42/2.98 tff(14853,plain,
% 3.42/2.98 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52)) | trans(s199, s53)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53))),
% 3.42/2.98 inference(rewrite,[status(thm)],[])).
% 3.42/2.98 tff(14854,plain,
% 3.42/2.98 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51)) | trans(s199, s52)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52))),
% 3.42/2.98 inference(rewrite,[status(thm)],[])).
% 3.42/2.98 tff(14855,plain,
% 3.42/2.98 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50)) | trans(s199, s51)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51))),
% 3.42/2.98 inference(rewrite,[status(thm)],[])).
% 3.42/2.98 tff(14856,plain,
% 3.42/2.98 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49)) | trans(s199, s50)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50))),
% 3.42/2.98 inference(rewrite,[status(thm)],[])).
% 3.42/2.98 tff(14857,plain,
% 3.42/2.98 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48)) | trans(s199, s49)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49))),
% 3.42/2.98 inference(rewrite,[status(thm)],[])).
% 3.42/2.98 tff(14858,plain,
% 3.42/2.98 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47)) | trans(s199, s48)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48))),
% 3.42/2.99 inference(rewrite,[status(thm)],[])).
% 3.42/2.99 tff(14859,plain,
% 3.42/2.99 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46)) | trans(s199, s47)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47))),
% 3.42/2.99 inference(rewrite,[status(thm)],[])).
% 3.42/2.99 tff(14860,plain,
% 3.42/2.99 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45)) | trans(s199, s46)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46))),
% 3.52/2.99 inference(rewrite,[status(thm)],[])).
% 3.52/2.99 tff(14861,plain,
% 3.52/2.99 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44)) | trans(s199, s45)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45))),
% 3.52/2.99 inference(rewrite,[status(thm)],[])).
% 3.52/2.99 tff(14862,plain,
% 3.52/2.99 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43)) | trans(s199, s44)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44))),
% 3.52/2.99 inference(rewrite,[status(thm)],[])).
% 3.52/2.99 tff(14863,plain,
% 3.52/2.99 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42)) | trans(s199, s43)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43))),
% 3.52/2.99 inference(rewrite,[status(thm)],[])).
% 3.52/2.99 tff(14864,plain,
% 3.52/2.99 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41)) | trans(s199, s42)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42))),
% 3.52/2.99 inference(rewrite,[status(thm)],[])).
% 3.52/2.99 tff(14865,plain,
% 3.52/2.99 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40)) | trans(s199, s41)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41))),
% 3.52/3.00 inference(rewrite,[status(thm)],[])).
% 3.52/3.00 tff(14866,plain,
% 3.52/3.00 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39)) | trans(s199, s40)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40))),
% 3.52/3.00 inference(rewrite,[status(thm)],[])).
% 3.52/3.00 tff(14867,plain,
% 3.52/3.00 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38)) | trans(s199, s39)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39))),
% 3.52/3.00 inference(rewrite,[status(thm)],[])).
% 3.52/3.00 tff(14868,plain,
% 3.52/3.00 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37)) | trans(s199, s38)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38))),
% 3.52/3.00 inference(rewrite,[status(thm)],[])).
% 3.52/3.00 tff(14869,plain,
% 3.52/3.00 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36)) | trans(s199, s37)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37))),
% 3.52/3.00 inference(rewrite,[status(thm)],[])).
% 3.52/3.00 tff(14870,plain,
% 3.52/3.00 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35)) | trans(s199, s36)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36))),
% 3.53/3.00 inference(rewrite,[status(thm)],[])).
% 3.53/3.00 tff(14871,plain,
% 3.53/3.00 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34)) | trans(s199, s35)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35))),
% 3.53/3.00 inference(rewrite,[status(thm)],[])).
% 3.53/3.00 tff(14872,plain,
% 3.53/3.00 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33)) | trans(s199, s34)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34))),
% 3.53/3.00 inference(rewrite,[status(thm)],[])).
% 3.53/3.00 tff(14873,plain,
% 3.53/3.00 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32)) | trans(s199, s33)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33))),
% 3.53/3.01 inference(rewrite,[status(thm)],[])).
% 3.53/3.01 tff(14874,plain,
% 3.53/3.01 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31)) | trans(s199, s32)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32))),
% 3.53/3.01 inference(rewrite,[status(thm)],[])).
% 3.53/3.01 tff(14875,plain,
% 3.53/3.01 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30)) | trans(s199, s31)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31))),
% 3.53/3.01 inference(rewrite,[status(thm)],[])).
% 3.53/3.01 tff(14876,plain,
% 3.53/3.01 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29)) | trans(s199, s30)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30))),
% 3.53/3.01 inference(rewrite,[status(thm)],[])).
% 3.53/3.01 tff(14877,plain,
% 3.53/3.01 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28)) | trans(s199, s29)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29))),
% 3.53/3.01 inference(rewrite,[status(thm)],[])).
% 3.53/3.01 tff(14878,plain,
% 3.53/3.01 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27)) | trans(s199, s28)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28))),
% 3.53/3.01 inference(rewrite,[status(thm)],[])).
% 3.53/3.01 tff(14879,plain,
% 3.53/3.01 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26)) | trans(s199, s27)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27))),
% 3.53/3.01 inference(rewrite,[status(thm)],[])).
% 3.53/3.01 tff(14880,plain,
% 3.53/3.01 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25)) | trans(s199, s26)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26))),
% 3.53/3.01 inference(rewrite,[status(thm)],[])).
% 3.53/3.01 tff(14881,plain,
% 3.53/3.01 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24)) | trans(s199, s25)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25))),
% 3.53/3.01 inference(rewrite,[status(thm)],[])).
% 3.53/3.01 tff(14882,plain,
% 3.53/3.01 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23)) | trans(s199, s24)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24))),
% 3.53/3.01 inference(rewrite,[status(thm)],[])).
% 3.53/3.01 tff(14883,plain,
% 3.53/3.01 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22)) | trans(s199, s23)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23))),
% 3.53/3.01 inference(rewrite,[status(thm)],[])).
% 3.53/3.01 tff(14884,plain,
% 3.53/3.01 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21)) | trans(s199, s22)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14885,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20)) | trans(s199, s21)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14886,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19)) | trans(s199, s20)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14887,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18)) | trans(s199, s19)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14888,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17)) | trans(s199, s18)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14889,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16)) | trans(s199, s17)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14890,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15)) | trans(s199, s16)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14891,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14)) | trans(s199, s15)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14892,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13)) | trans(s199, s14)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14893,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12)) | trans(s199, s13)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14894,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11)) | trans(s199, s12)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14895,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10)) | trans(s199, s11)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14896,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9)) | trans(s199, s10)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14897,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8)) | trans(s199, s9)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14898,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7)) | trans(s199, s8)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14899,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6)) | trans(s199, s7)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14900,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5)) | trans(s199, s6)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14901,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4)) | trans(s199, s5)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14902,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3)) | trans(s199, s4)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14903,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2)) | trans(s199, s3)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14904,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0) | trans(s199, s1)) | trans(s199, s2)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14905,plain,
% 3.53/3.02 ((((~loop) | trans(s199, s0)) | trans(s199, s1)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1))),
% 3.53/3.02 inference(rewrite,[status(thm)],[])).
% 3.53/3.02 tff(14906,plain,
% 3.53/3.02 (((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1)) | trans(s199, s2))),
% 3.53/3.02 inference(monotonicity,[status(thm)],[14905])).
% 3.53/3.02 tff(14907,plain,
% 3.53/3.02 (((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2))),
% 3.53/3.02 inference(transitivity,[status(thm)],[14906, 14904])).
% 3.53/3.02 tff(14908,plain,
% 3.53/3.02 ((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2)) | trans(s199, s3))),
% 3.53/3.03 inference(monotonicity,[status(thm)],[14907])).
% 3.53/3.03 tff(14909,plain,
% 3.53/3.03 ((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3))),
% 3.53/3.03 inference(transitivity,[status(thm)],[14908, 14903])).
% 3.53/3.03 tff(14910,plain,
% 3.53/3.03 (((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3)) | trans(s199, s4))),
% 3.53/3.03 inference(monotonicity,[status(thm)],[14909])).
% 3.53/3.03 tff(14911,plain,
% 3.53/3.03 (((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4))),
% 3.53/3.03 inference(transitivity,[status(thm)],[14910, 14902])).
% 3.53/3.03 tff(14912,plain,
% 3.53/3.03 ((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4)) | trans(s199, s5))),
% 3.53/3.03 inference(monotonicity,[status(thm)],[14911])).
% 3.53/3.03 tff(14913,plain,
% 3.53/3.03 ((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5))),
% 3.53/3.03 inference(transitivity,[status(thm)],[14912, 14901])).
% 3.53/3.03 tff(14914,plain,
% 3.53/3.03 (((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5)) | trans(s199, s6))),
% 3.53/3.03 inference(monotonicity,[status(thm)],[14913])).
% 3.53/3.03 tff(14915,plain,
% 3.53/3.03 (((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6))),
% 3.53/3.03 inference(transitivity,[status(thm)],[14914, 14900])).
% 3.53/3.03 tff(14916,plain,
% 3.53/3.03 ((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6)) | trans(s199, s7))),
% 3.53/3.03 inference(monotonicity,[status(thm)],[14915])).
% 3.53/3.03 tff(14917,plain,
% 3.53/3.03 ((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7))),
% 3.53/3.03 inference(transitivity,[status(thm)],[14916, 14899])).
% 3.53/3.03 tff(14918,plain,
% 3.53/3.03 (((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7)) | trans(s199, s8))),
% 3.53/3.03 inference(monotonicity,[status(thm)],[14917])).
% 3.53/3.03 tff(14919,plain,
% 3.53/3.03 (((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8))),
% 3.53/3.03 inference(transitivity,[status(thm)],[14918, 14898])).
% 3.53/3.03 tff(14920,plain,
% 3.53/3.03 ((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8)) | trans(s199, s9))),
% 3.53/3.03 inference(monotonicity,[status(thm)],[14919])).
% 3.53/3.03 tff(14921,plain,
% 3.53/3.03 ((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9))),
% 3.53/3.03 inference(transitivity,[status(thm)],[14920, 14897])).
% 3.53/3.03 tff(14922,plain,
% 3.53/3.03 (((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9)) | trans(s199, s10))),
% 3.53/3.03 inference(monotonicity,[status(thm)],[14921])).
% 3.53/3.03 tff(14923,plain,
% 3.53/3.03 (((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10))),
% 3.53/3.03 inference(transitivity,[status(thm)],[14922, 14896])).
% 3.53/3.03 tff(14924,plain,
% 3.53/3.03 ((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10)) | trans(s199, s11))),
% 3.53/3.03 inference(monotonicity,[status(thm)],[14923])).
% 3.53/3.03 tff(14925,plain,
% 3.53/3.03 ((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11))),
% 3.53/3.03 inference(transitivity,[status(thm)],[14924, 14895])).
% 3.53/3.03 tff(14926,plain,
% 3.53/3.03 (((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11)) | trans(s199, s12))),
% 3.53/3.03 inference(monotonicity,[status(thm)],[14925])).
% 3.53/3.03 tff(14927,plain,
% 3.53/3.03 (((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12))),
% 3.53/3.03 inference(transitivity,[status(thm)],[14926, 14894])).
% 3.53/3.03 tff(14928,plain,
% 3.53/3.03 ((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12)) | trans(s199, s13))),
% 3.53/3.03 inference(monotonicity,[status(thm)],[14927])).
% 3.53/3.03 tff(14929,plain,
% 3.53/3.03 ((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13))),
% 3.53/3.03 inference(transitivity,[status(thm)],[14928, 14893])).
% 3.53/3.03 tff(14930,plain,
% 3.53/3.03 (((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13)) | trans(s199, s14))),
% 3.53/3.03 inference(monotonicity,[status(thm)],[14929])).
% 3.53/3.03 tff(14931,plain,
% 3.53/3.03 (((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14))),
% 3.53/3.03 inference(transitivity,[status(thm)],[14930, 14892])).
% 3.53/3.03 tff(14932,plain,
% 3.53/3.03 ((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14)) | trans(s199, s15))),
% 3.53/3.03 inference(monotonicity,[status(thm)],[14931])).
% 3.53/3.03 tff(14933,plain,
% 3.53/3.03 ((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15))),
% 3.53/3.03 inference(transitivity,[status(thm)],[14932, 14891])).
% 3.53/3.03 tff(14934,plain,
% 3.53/3.03 (((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15)) | trans(s199, s16))),
% 3.53/3.03 inference(monotonicity,[status(thm)],[14933])).
% 3.53/3.03 tff(14935,plain,
% 3.53/3.03 (((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16))),
% 3.53/3.03 inference(transitivity,[status(thm)],[14934, 14890])).
% 3.53/3.03 tff(14936,plain,
% 3.53/3.03 ((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16)) | trans(s199, s17))),
% 3.53/3.03 inference(monotonicity,[status(thm)],[14935])).
% 3.53/3.03 tff(14937,plain,
% 3.53/3.03 ((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17))),
% 3.53/3.03 inference(transitivity,[status(thm)],[14936, 14889])).
% 3.53/3.03 tff(14938,plain,
% 3.53/3.03 (((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17)) | trans(s199, s18))),
% 3.53/3.03 inference(monotonicity,[status(thm)],[14937])).
% 3.53/3.04 tff(14939,plain,
% 3.53/3.04 (((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18))),
% 3.53/3.04 inference(transitivity,[status(thm)],[14938, 14888])).
% 3.53/3.04 tff(14940,plain,
% 3.53/3.04 ((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18)) | trans(s199, s19))),
% 3.53/3.04 inference(monotonicity,[status(thm)],[14939])).
% 3.53/3.04 tff(14941,plain,
% 3.53/3.04 ((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19))),
% 3.53/3.04 inference(transitivity,[status(thm)],[14940, 14887])).
% 3.53/3.04 tff(14942,plain,
% 3.53/3.04 (((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19)) | trans(s199, s20))),
% 3.53/3.04 inference(monotonicity,[status(thm)],[14941])).
% 3.53/3.04 tff(14943,plain,
% 3.53/3.04 (((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20))),
% 3.53/3.04 inference(transitivity,[status(thm)],[14942, 14886])).
% 3.53/3.04 tff(14944,plain,
% 3.53/3.04 ((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20)) | trans(s199, s21))),
% 3.53/3.04 inference(monotonicity,[status(thm)],[14943])).
% 3.53/3.04 tff(14945,plain,
% 3.53/3.04 ((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21))),
% 3.53/3.04 inference(transitivity,[status(thm)],[14944, 14885])).
% 3.53/3.04 tff(14946,plain,
% 3.53/3.04 (((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21)) | trans(s199, s22))),
% 3.53/3.04 inference(monotonicity,[status(thm)],[14945])).
% 3.53/3.04 tff(14947,plain,
% 3.53/3.04 (((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22))),
% 3.53/3.04 inference(transitivity,[status(thm)],[14946, 14884])).
% 3.53/3.04 tff(14948,plain,
% 3.53/3.04 ((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22)) | trans(s199, s23))),
% 3.53/3.04 inference(monotonicity,[status(thm)],[14947])).
% 3.53/3.04 tff(14949,plain,
% 3.53/3.04 ((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23))),
% 3.53/3.04 inference(transitivity,[status(thm)],[14948, 14883])).
% 3.53/3.04 tff(14950,plain,
% 3.53/3.04 (((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23)) | trans(s199, s24))),
% 3.53/3.04 inference(monotonicity,[status(thm)],[14949])).
% 3.53/3.04 tff(14951,plain,
% 3.53/3.04 (((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24))),
% 3.53/3.05 inference(transitivity,[status(thm)],[14950, 14882])).
% 3.53/3.05 tff(14952,plain,
% 3.53/3.05 ((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24)) | trans(s199, s25))),
% 3.53/3.05 inference(monotonicity,[status(thm)],[14951])).
% 3.53/3.05 tff(14953,plain,
% 3.53/3.05 ((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25))),
% 3.53/3.05 inference(transitivity,[status(thm)],[14952, 14881])).
% 3.53/3.05 tff(14954,plain,
% 3.53/3.05 (((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25)) | trans(s199, s26))),
% 3.53/3.05 inference(monotonicity,[status(thm)],[14953])).
% 3.53/3.05 tff(14955,plain,
% 3.53/3.05 (((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26))),
% 3.53/3.05 inference(transitivity,[status(thm)],[14954, 14880])).
% 3.53/3.05 tff(14956,plain,
% 3.53/3.05 ((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26)) | trans(s199, s27))),
% 3.53/3.05 inference(monotonicity,[status(thm)],[14955])).
% 3.53/3.05 tff(14957,plain,
% 3.53/3.05 ((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27))),
% 3.53/3.05 inference(transitivity,[status(thm)],[14956, 14879])).
% 3.53/3.05 tff(14958,plain,
% 3.53/3.05 (((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27)) | trans(s199, s28))),
% 3.53/3.05 inference(monotonicity,[status(thm)],[14957])).
% 3.53/3.05 tff(14959,plain,
% 3.53/3.05 (((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28))),
% 3.53/3.05 inference(transitivity,[status(thm)],[14958, 14878])).
% 3.53/3.05 tff(14960,plain,
% 3.53/3.05 ((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28)) | trans(s199, s29))),
% 3.53/3.05 inference(monotonicity,[status(thm)],[14959])).
% 3.53/3.05 tff(14961,plain,
% 3.53/3.05 ((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29))),
% 3.53/3.05 inference(transitivity,[status(thm)],[14960, 14877])).
% 3.53/3.05 tff(14962,plain,
% 3.53/3.05 (((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29)) | trans(s199, s30))),
% 3.53/3.05 inference(monotonicity,[status(thm)],[14961])).
% 3.53/3.05 tff(14963,plain,
% 3.53/3.05 (((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30))),
% 3.53/3.05 inference(transitivity,[status(thm)],[14962, 14876])).
% 3.53/3.05 tff(14964,plain,
% 3.53/3.05 ((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30)) | trans(s199, s31))),
% 3.53/3.05 inference(monotonicity,[status(thm)],[14963])).
% 3.53/3.06 tff(14965,plain,
% 3.53/3.06 ((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31))),
% 3.53/3.06 inference(transitivity,[status(thm)],[14964, 14875])).
% 3.53/3.06 tff(14966,plain,
% 3.53/3.06 (((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31)) | trans(s199, s32))),
% 3.53/3.06 inference(monotonicity,[status(thm)],[14965])).
% 3.53/3.06 tff(14967,plain,
% 3.53/3.06 (((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32))),
% 3.53/3.06 inference(transitivity,[status(thm)],[14966, 14874])).
% 3.53/3.06 tff(14968,plain,
% 3.53/3.06 ((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32)) | trans(s199, s33))),
% 3.53/3.06 inference(monotonicity,[status(thm)],[14967])).
% 3.53/3.06 tff(14969,plain,
% 3.53/3.06 ((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33))),
% 3.53/3.06 inference(transitivity,[status(thm)],[14968, 14873])).
% 3.53/3.06 tff(14970,plain,
% 3.53/3.06 (((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33)) | trans(s199, s34))),
% 3.53/3.06 inference(monotonicity,[status(thm)],[14969])).
% 3.53/3.06 tff(14971,plain,
% 3.53/3.06 (((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34))),
% 3.53/3.06 inference(transitivity,[status(thm)],[14970, 14872])).
% 3.53/3.06 tff(14972,plain,
% 3.53/3.06 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34)) | trans(s199, s35))),
% 3.53/3.06 inference(monotonicity,[status(thm)],[14971])).
% 3.53/3.06 tff(14973,plain,
% 3.53/3.06 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35))),
% 3.53/3.07 inference(transitivity,[status(thm)],[14972, 14871])).
% 3.53/3.07 tff(14974,plain,
% 3.53/3.07 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35)) | trans(s199, s36))),
% 3.53/3.07 inference(monotonicity,[status(thm)],[14973])).
% 3.53/3.07 tff(14975,plain,
% 3.53/3.07 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36))),
% 3.53/3.07 inference(transitivity,[status(thm)],[14974, 14870])).
% 3.53/3.07 tff(14976,plain,
% 3.53/3.07 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36)) | trans(s199, s37))),
% 3.53/3.07 inference(monotonicity,[status(thm)],[14975])).
% 3.53/3.07 tff(14977,plain,
% 3.53/3.07 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37))),
% 3.53/3.07 inference(transitivity,[status(thm)],[14976, 14869])).
% 3.53/3.07 tff(14978,plain,
% 3.53/3.07 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37)) | trans(s199, s38))),
% 3.53/3.07 inference(monotonicity,[status(thm)],[14977])).
% 3.53/3.07 tff(14979,plain,
% 3.53/3.07 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38))),
% 3.53/3.07 inference(transitivity,[status(thm)],[14978, 14868])).
% 3.53/3.07 tff(14980,plain,
% 3.53/3.07 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38)) | trans(s199, s39))),
% 3.53/3.07 inference(monotonicity,[status(thm)],[14979])).
% 3.53/3.07 tff(14981,plain,
% 3.53/3.07 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39))),
% 3.53/3.08 inference(transitivity,[status(thm)],[14980, 14867])).
% 3.53/3.08 tff(14982,plain,
% 3.53/3.08 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39)) | trans(s199, s40))),
% 3.53/3.08 inference(monotonicity,[status(thm)],[14981])).
% 3.53/3.08 tff(14983,plain,
% 3.53/3.08 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40))),
% 3.53/3.08 inference(transitivity,[status(thm)],[14982, 14866])).
% 3.53/3.08 tff(14984,plain,
% 3.53/3.08 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40)) | trans(s199, s41))),
% 3.53/3.08 inference(monotonicity,[status(thm)],[14983])).
% 3.53/3.08 tff(14985,plain,
% 3.53/3.08 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41))),
% 3.53/3.08 inference(transitivity,[status(thm)],[14984, 14865])).
% 3.53/3.08 tff(14986,plain,
% 3.53/3.08 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41)) | trans(s199, s42))),
% 3.53/3.08 inference(monotonicity,[status(thm)],[14985])).
% 3.53/3.08 tff(14987,plain,
% 3.53/3.08 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42))),
% 3.53/3.08 inference(transitivity,[status(thm)],[14986, 14864])).
% 3.53/3.08 tff(14988,plain,
% 3.53/3.08 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42)) | trans(s199, s43))),
% 3.53/3.08 inference(monotonicity,[status(thm)],[14987])).
% 3.53/3.08 tff(14989,plain,
% 3.53/3.08 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43))),
% 3.53/3.08 inference(transitivity,[status(thm)],[14988, 14863])).
% 3.53/3.08 tff(14990,plain,
% 3.53/3.08 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43)) | trans(s199, s44))),
% 3.53/3.09 inference(monotonicity,[status(thm)],[14989])).
% 3.53/3.09 tff(14991,plain,
% 3.53/3.09 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44))),
% 3.53/3.09 inference(transitivity,[status(thm)],[14990, 14862])).
% 3.53/3.09 tff(14992,plain,
% 3.53/3.09 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44)) | trans(s199, s45))),
% 3.53/3.09 inference(monotonicity,[status(thm)],[14991])).
% 3.53/3.09 tff(14993,plain,
% 3.53/3.09 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45))),
% 3.53/3.09 inference(transitivity,[status(thm)],[14992, 14861])).
% 3.53/3.09 tff(14994,plain,
% 3.53/3.09 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45)) | trans(s199, s46))),
% 3.53/3.09 inference(monotonicity,[status(thm)],[14993])).
% 3.53/3.09 tff(14995,plain,
% 3.53/3.09 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46))),
% 3.53/3.09 inference(transitivity,[status(thm)],[14994, 14860])).
% 3.53/3.09 tff(14996,plain,
% 3.53/3.09 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46)) | trans(s199, s47))),
% 3.62/3.10 inference(monotonicity,[status(thm)],[14995])).
% 3.62/3.10 tff(14997,plain,
% 3.62/3.10 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47))),
% 3.62/3.10 inference(transitivity,[status(thm)],[14996, 14859])).
% 3.62/3.10 tff(14998,plain,
% 3.62/3.10 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47)) | trans(s199, s48))),
% 3.62/3.10 inference(monotonicity,[status(thm)],[14997])).
% 3.62/3.10 tff(14999,plain,
% 3.62/3.10 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48))),
% 3.62/3.10 inference(transitivity,[status(thm)],[14998, 14858])).
% 3.62/3.10 tff(15000,plain,
% 3.62/3.10 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48)) | trans(s199, s49))),
% 3.62/3.10 inference(monotonicity,[status(thm)],[14999])).
% 3.62/3.10 tff(15001,plain,
% 3.62/3.10 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49))),
% 3.62/3.10 inference(transitivity,[status(thm)],[15000, 14857])).
% 3.62/3.10 tff(15002,plain,
% 3.62/3.10 (((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49)) | trans(s199, s50))),
% 3.62/3.11 inference(monotonicity,[status(thm)],[15001])).
% 3.62/3.11 tff(15003,plain,
% 3.62/3.11 (((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50))),
% 3.62/3.11 inference(transitivity,[status(thm)],[15002, 14856])).
% 3.62/3.11 tff(15004,plain,
% 3.62/3.11 ((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50)) | trans(s199, s51))),
% 3.62/3.11 inference(monotonicity,[status(thm)],[15003])).
% 3.62/3.11 tff(15005,plain,
% 3.62/3.11 ((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51))),
% 3.62/3.11 inference(transitivity,[status(thm)],[15004, 14855])).
% 3.62/3.11 tff(15006,plain,
% 3.62/3.11 (((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51)) | trans(s199, s52))),
% 3.62/3.11 inference(monotonicity,[status(thm)],[15005])).
% 3.62/3.11 tff(15007,plain,
% 3.62/3.11 (((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52))),
% 3.62/3.11 inference(transitivity,[status(thm)],[15006, 14854])).
% 3.62/3.11 tff(15008,plain,
% 3.62/3.11 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52)) | trans(s199, s53))),
% 3.62/3.12 inference(monotonicity,[status(thm)],[15007])).
% 3.62/3.12 tff(15009,plain,
% 3.62/3.12 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53))),
% 3.62/3.12 inference(transitivity,[status(thm)],[15008, 14853])).
% 3.62/3.12 tff(15010,plain,
% 3.62/3.12 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53)) | trans(s199, s54))),
% 3.62/3.12 inference(monotonicity,[status(thm)],[15009])).
% 3.62/3.12 tff(15011,plain,
% 3.62/3.12 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54))),
% 3.62/3.12 inference(transitivity,[status(thm)],[15010, 14852])).
% 3.62/3.12 tff(15012,plain,
% 3.62/3.12 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54)) | trans(s199, s55))),
% 3.62/3.12 inference(monotonicity,[status(thm)],[15011])).
% 3.62/3.12 tff(15013,plain,
% 3.62/3.12 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55))),
% 3.62/3.12 inference(transitivity,[status(thm)],[15012, 14851])).
% 3.62/3.12 tff(15014,plain,
% 3.62/3.12 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55)) | trans(s199, s56))),
% 3.62/3.12 inference(monotonicity,[status(thm)],[15013])).
% 3.62/3.12 tff(15015,plain,
% 3.62/3.12 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56))),
% 3.62/3.13 inference(transitivity,[status(thm)],[15014, 14850])).
% 3.62/3.13 tff(15016,plain,
% 3.62/3.13 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56)) | trans(s199, s57))),
% 3.62/3.13 inference(monotonicity,[status(thm)],[15015])).
% 3.62/3.13 tff(15017,plain,
% 3.62/3.13 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57))),
% 3.62/3.13 inference(transitivity,[status(thm)],[15016, 14849])).
% 3.62/3.13 tff(15018,plain,
% 3.62/3.13 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57)) | trans(s199, s58))),
% 3.62/3.13 inference(monotonicity,[status(thm)],[15017])).
% 3.62/3.13 tff(15019,plain,
% 3.62/3.13 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58))),
% 3.62/3.13 inference(transitivity,[status(thm)],[15018, 14848])).
% 3.62/3.13 tff(15020,plain,
% 3.62/3.13 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58)) | trans(s199, s59))),
% 3.62/3.14 inference(monotonicity,[status(thm)],[15019])).
% 3.62/3.14 tff(15021,plain,
% 3.62/3.14 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59))),
% 3.62/3.14 inference(transitivity,[status(thm)],[15020, 14847])).
% 3.62/3.14 tff(15022,plain,
% 3.62/3.14 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59)) | trans(s199, s60))),
% 3.62/3.14 inference(monotonicity,[status(thm)],[15021])).
% 3.62/3.14 tff(15023,plain,
% 3.62/3.14 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60))),
% 3.62/3.14 inference(transitivity,[status(thm)],[15022, 14846])).
% 3.62/3.14 tff(15024,plain,
% 3.62/3.14 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60)) | trans(s199, s61))),
% 3.62/3.14 inference(monotonicity,[status(thm)],[15023])).
% 3.62/3.14 tff(15025,plain,
% 3.62/3.14 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61))),
% 3.62/3.15 inference(transitivity,[status(thm)],[15024, 14845])).
% 3.62/3.15 tff(15026,plain,
% 3.62/3.15 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61)) | trans(s199, s62))),
% 3.62/3.15 inference(monotonicity,[status(thm)],[15025])).
% 3.62/3.15 tff(15027,plain,
% 3.62/3.15 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62))),
% 3.62/3.15 inference(transitivity,[status(thm)],[15026, 14844])).
% 3.62/3.15 tff(15028,plain,
% 3.62/3.15 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62)) | trans(s199, s63))),
% 3.62/3.15 inference(monotonicity,[status(thm)],[15027])).
% 3.62/3.15 tff(15029,plain,
% 3.62/3.15 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63))),
% 3.62/3.15 inference(transitivity,[status(thm)],[15028, 14843])).
% 3.62/3.15 tff(15030,plain,
% 3.62/3.15 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63)) | trans(s199, s64))),
% 3.62/3.16 inference(monotonicity,[status(thm)],[15029])).
% 3.62/3.16 tff(15031,plain,
% 3.62/3.16 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64))),
% 3.62/3.16 inference(transitivity,[status(thm)],[15030, 14842])).
% 3.62/3.16 tff(15032,plain,
% 3.62/3.16 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64)) | trans(s199, s65))),
% 3.62/3.16 inference(monotonicity,[status(thm)],[15031])).
% 3.62/3.16 tff(15033,plain,
% 3.62/3.16 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65))),
% 3.62/3.16 inference(transitivity,[status(thm)],[15032, 14841])).
% 3.62/3.16 tff(15034,plain,
% 3.62/3.16 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65)) | trans(s199, s66))),
% 3.62/3.17 inference(monotonicity,[status(thm)],[15033])).
% 3.62/3.17 tff(15035,plain,
% 3.62/3.17 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66))),
% 3.62/3.17 inference(transitivity,[status(thm)],[15034, 14840])).
% 3.62/3.17 tff(15036,plain,
% 3.62/3.17 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66)) | trans(s199, s67))),
% 3.62/3.17 inference(monotonicity,[status(thm)],[15035])).
% 3.62/3.17 tff(15037,plain,
% 3.62/3.17 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67))),
% 3.62/3.17 inference(transitivity,[status(thm)],[15036, 14839])).
% 3.62/3.17 tff(15038,plain,
% 3.62/3.17 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67)) | trans(s199, s68))),
% 3.62/3.17 inference(monotonicity,[status(thm)],[15037])).
% 3.62/3.17 tff(15039,plain,
% 3.62/3.17 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68))),
% 3.62/3.17 inference(transitivity,[status(thm)],[15038, 14838])).
% 3.62/3.17 tff(15040,plain,
% 3.62/3.17 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68)) | trans(s199, s69))),
% 3.62/3.18 inference(monotonicity,[status(thm)],[15039])).
% 3.62/3.18 tff(15041,plain,
% 3.62/3.18 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69))),
% 3.62/3.18 inference(transitivity,[status(thm)],[15040, 14837])).
% 3.62/3.18 tff(15042,plain,
% 3.62/3.18 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69)) | trans(s199, s70))),
% 3.62/3.18 inference(monotonicity,[status(thm)],[15041])).
% 3.62/3.18 tff(15043,plain,
% 3.62/3.18 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70))),
% 3.62/3.18 inference(transitivity,[status(thm)],[15042, 14836])).
% 3.62/3.18 tff(15044,plain,
% 3.62/3.18 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70)) | trans(s199, s71))),
% 3.62/3.19 inference(monotonicity,[status(thm)],[15043])).
% 3.62/3.19 tff(15045,plain,
% 3.62/3.19 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71))),
% 3.62/3.19 inference(transitivity,[status(thm)],[15044, 14835])).
% 3.62/3.19 tff(15046,plain,
% 3.62/3.19 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71)) | trans(s199, s72))),
% 3.72/3.19 inference(monotonicity,[status(thm)],[15045])).
% 3.72/3.19 tff(15047,plain,
% 3.72/3.19 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72))),
% 3.72/3.19 inference(transitivity,[status(thm)],[15046, 14834])).
% 3.72/3.19 tff(15048,plain,
% 3.72/3.19 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72)) | trans(s199, s73))),
% 3.72/3.20 inference(monotonicity,[status(thm)],[15047])).
% 3.72/3.20 tff(15049,plain,
% 3.72/3.20 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73))),
% 3.72/3.20 inference(transitivity,[status(thm)],[15048, 14833])).
% 3.72/3.20 tff(15050,plain,
% 3.72/3.20 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73)) | trans(s199, s74))),
% 3.72/3.20 inference(monotonicity,[status(thm)],[15049])).
% 3.72/3.20 tff(15051,plain,
% 3.72/3.20 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74))),
% 3.72/3.20 inference(transitivity,[status(thm)],[15050, 14832])).
% 3.72/3.20 tff(15052,plain,
% 3.72/3.20 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74)) | trans(s199, s75))),
% 3.72/3.21 inference(monotonicity,[status(thm)],[15051])).
% 3.72/3.21 tff(15053,plain,
% 3.72/3.21 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75))),
% 3.72/3.21 inference(transitivity,[status(thm)],[15052, 14831])).
% 3.72/3.21 tff(15054,plain,
% 3.72/3.21 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75)) | trans(s199, s76))),
% 3.72/3.21 inference(monotonicity,[status(thm)],[15053])).
% 3.72/3.21 tff(15055,plain,
% 3.72/3.21 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76))),
% 3.72/3.21 inference(transitivity,[status(thm)],[15054, 14830])).
% 3.72/3.21 tff(15056,plain,
% 3.72/3.21 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76)) | trans(s199, s77))),
% 3.72/3.22 inference(monotonicity,[status(thm)],[15055])).
% 3.72/3.22 tff(15057,plain,
% 3.72/3.22 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77))),
% 3.72/3.22 inference(transitivity,[status(thm)],[15056, 14829])).
% 3.72/3.22 tff(15058,plain,
% 3.72/3.22 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77)) | trans(s199, s78))),
% 3.72/3.22 inference(monotonicity,[status(thm)],[15057])).
% 3.72/3.22 tff(15059,plain,
% 3.72/3.22 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78))),
% 3.72/3.22 inference(transitivity,[status(thm)],[15058, 14828])).
% 3.72/3.22 tff(15060,plain,
% 3.72/3.22 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78)) | trans(s199, s79))),
% 3.72/3.23 inference(monotonicity,[status(thm)],[15059])).
% 3.72/3.23 tff(15061,plain,
% 3.72/3.23 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79))),
% 3.72/3.23 inference(transitivity,[status(thm)],[15060, 14827])).
% 3.72/3.23 tff(15062,plain,
% 3.72/3.23 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79)) | trans(s199, s80))),
% 3.72/3.23 inference(monotonicity,[status(thm)],[15061])).
% 3.72/3.23 tff(15063,plain,
% 3.72/3.23 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80))),
% 3.72/3.23 inference(transitivity,[status(thm)],[15062, 14826])).
% 3.72/3.23 tff(15064,plain,
% 3.72/3.23 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80)) | trans(s199, s81))),
% 3.72/3.24 inference(monotonicity,[status(thm)],[15063])).
% 3.72/3.24 tff(15065,plain,
% 3.72/3.24 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81))),
% 3.72/3.24 inference(transitivity,[status(thm)],[15064, 14825])).
% 3.72/3.24 tff(15066,plain,
% 3.72/3.24 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81)) | trans(s199, s82))),
% 3.72/3.24 inference(monotonicity,[status(thm)],[15065])).
% 3.72/3.24 tff(15067,plain,
% 3.72/3.24 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82))),
% 3.72/3.24 inference(transitivity,[status(thm)],[15066, 14824])).
% 3.72/3.24 tff(15068,plain,
% 3.72/3.24 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82)) | trans(s199, s83))),
% 3.72/3.24 inference(monotonicity,[status(thm)],[15067])).
% 3.72/3.25 tff(15069,plain,
% 3.72/3.25 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83))),
% 3.72/3.25 inference(transitivity,[status(thm)],[15068, 14823])).
% 3.72/3.25 tff(15070,plain,
% 3.72/3.25 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83)) | trans(s199, s84))),
% 3.72/3.25 inference(monotonicity,[status(thm)],[15069])).
% 3.72/3.25 tff(15071,plain,
% 3.72/3.25 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84))),
% 3.72/3.25 inference(transitivity,[status(thm)],[15070, 14822])).
% 3.72/3.25 tff(15072,plain,
% 3.72/3.25 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84)) | trans(s199, s85))),
% 3.72/3.26 inference(monotonicity,[status(thm)],[15071])).
% 3.72/3.26 tff(15073,plain,
% 3.72/3.26 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85))),
% 3.72/3.26 inference(transitivity,[status(thm)],[15072, 14821])).
% 3.72/3.26 tff(15074,plain,
% 3.72/3.26 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85)) | trans(s199, s86))),
% 3.72/3.26 inference(monotonicity,[status(thm)],[15073])).
% 3.72/3.26 tff(15075,plain,
% 3.72/3.26 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86))),
% 3.72/3.26 inference(transitivity,[status(thm)],[15074, 14820])).
% 3.72/3.27 tff(15076,plain,
% 3.72/3.27 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86)) | trans(s199, s87))),
% 3.72/3.27 inference(monotonicity,[status(thm)],[15075])).
% 3.72/3.27 tff(15077,plain,
% 3.72/3.27 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87))),
% 3.72/3.27 inference(transitivity,[status(thm)],[15076, 14819])).
% 3.72/3.27 tff(15078,plain,
% 3.72/3.27 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87)) | trans(s199, s88))),
% 3.72/3.27 inference(monotonicity,[status(thm)],[15077])).
% 3.72/3.27 tff(15079,plain,
% 3.72/3.27 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88))),
% 3.72/3.28 inference(transitivity,[status(thm)],[15078, 14818])).
% 3.72/3.28 tff(15080,plain,
% 3.72/3.28 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88)) | trans(s199, s89))),
% 3.72/3.28 inference(monotonicity,[status(thm)],[15079])).
% 3.72/3.28 tff(15081,plain,
% 3.72/3.28 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89))),
% 3.72/3.28 inference(transitivity,[status(thm)],[15080, 14817])).
% 3.72/3.28 tff(15082,plain,
% 3.72/3.28 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89)) | trans(s199, s90))),
% 3.72/3.28 inference(monotonicity,[status(thm)],[15081])).
% 3.72/3.28 tff(15083,plain,
% 3.72/3.28 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90))),
% 3.72/3.29 inference(transitivity,[status(thm)],[15082, 14816])).
% 3.72/3.29 tff(15084,plain,
% 3.72/3.29 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90)) | trans(s199, s91))),
% 3.82/3.29 inference(monotonicity,[status(thm)],[15083])).
% 3.82/3.29 tff(15085,plain,
% 3.82/3.29 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91))),
% 3.82/3.29 inference(transitivity,[status(thm)],[15084, 14815])).
% 3.82/3.29 tff(15086,plain,
% 3.82/3.29 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91)) | trans(s199, s92))),
% 3.82/3.29 inference(monotonicity,[status(thm)],[15085])).
% 3.82/3.29 tff(15087,plain,
% 3.82/3.29 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92))),
% 3.82/3.30 inference(transitivity,[status(thm)],[15086, 14814])).
% 3.82/3.30 tff(15088,plain,
% 3.82/3.30 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92)) | trans(s199, s93))),
% 3.82/3.30 inference(monotonicity,[status(thm)],[15087])).
% 3.82/3.30 tff(15089,plain,
% 3.82/3.30 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93))),
% 3.83/3.30 inference(transitivity,[status(thm)],[15088, 14813])).
% 3.83/3.30 tff(15090,plain,
% 3.83/3.30 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93)) | trans(s199, s94))),
% 3.83/3.31 inference(monotonicity,[status(thm)],[15089])).
% 3.83/3.31 tff(15091,plain,
% 3.83/3.31 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94))),
% 3.83/3.31 inference(transitivity,[status(thm)],[15090, 14812])).
% 3.83/3.31 tff(15092,plain,
% 3.83/3.31 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94)) | trans(s199, s95))),
% 3.83/3.31 inference(monotonicity,[status(thm)],[15091])).
% 3.83/3.31 tff(15093,plain,
% 3.83/3.31 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95))),
% 3.83/3.32 inference(transitivity,[status(thm)],[15092, 14811])).
% 3.83/3.32 tff(15094,plain,
% 3.83/3.32 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95)) | trans(s199, s96))),
% 3.85/3.32 inference(monotonicity,[status(thm)],[15093])).
% 3.85/3.32 tff(15095,plain,
% 3.85/3.32 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96))),
% 3.85/3.32 inference(transitivity,[status(thm)],[15094, 14810])).
% 3.85/3.32 tff(15096,plain,
% 3.85/3.32 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96)) | trans(s199, s97))),
% 3.85/3.33 inference(monotonicity,[status(thm)],[15095])).
% 3.85/3.33 tff(15097,plain,
% 3.85/3.33 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97))),
% 3.85/3.33 inference(transitivity,[status(thm)],[15096, 14809])).
% 3.85/3.33 tff(15098,plain,
% 3.85/3.33 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97)) | trans(s199, s98))),
% 3.85/3.33 inference(monotonicity,[status(thm)],[15097])).
% 3.85/3.33 tff(15099,plain,
% 3.85/3.33 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98))),
% 3.85/3.34 inference(transitivity,[status(thm)],[15098, 14808])).
% 3.85/3.34 tff(15100,plain,
% 3.85/3.34 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98)) | trans(s199, s99))),
% 3.85/3.34 inference(monotonicity,[status(thm)],[15099])).
% 3.85/3.34 tff(15101,plain,
% 3.85/3.34 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99))),
% 3.85/3.34 inference(transitivity,[status(thm)],[15100, 14807])).
% 3.85/3.34 tff(15102,plain,
% 3.85/3.34 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99)) | trans(s199, s100))),
% 3.85/3.35 inference(monotonicity,[status(thm)],[15101])).
% 3.85/3.35 tff(15103,plain,
% 3.85/3.35 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100))),
% 3.85/3.35 inference(transitivity,[status(thm)],[15102, 14806])).
% 3.85/3.35 tff(15104,plain,
% 3.85/3.35 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100)) | trans(s199, s101))),
% 3.85/3.35 inference(monotonicity,[status(thm)],[15103])).
% 3.85/3.35 tff(15105,plain,
% 3.85/3.35 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101))),
% 3.85/3.36 inference(transitivity,[status(thm)],[15104, 14805])).
% 3.85/3.36 tff(15106,plain,
% 3.85/3.36 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101)) | trans(s199, s102))),
% 3.85/3.36 inference(monotonicity,[status(thm)],[15105])).
% 3.85/3.36 tff(15107,plain,
% 3.85/3.36 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102))),
% 3.85/3.36 inference(transitivity,[status(thm)],[15106, 14804])).
% 3.85/3.36 tff(15108,plain,
% 3.85/3.36 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102)) | trans(s199, s103))),
% 3.85/3.36 inference(monotonicity,[status(thm)],[15107])).
% 3.85/3.36 tff(15109,plain,
% 3.85/3.36 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103))),
% 3.85/3.37 inference(transitivity,[status(thm)],[15108, 14803])).
% 3.85/3.37 tff(15110,plain,
% 3.85/3.37 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103)) | trans(s199, s104))),
% 3.85/3.37 inference(monotonicity,[status(thm)],[15109])).
% 3.85/3.37 tff(15111,plain,
% 3.85/3.37 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104))),
% 3.85/3.37 inference(transitivity,[status(thm)],[15110, 14802])).
% 3.85/3.37 tff(15112,plain,
% 3.85/3.37 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104)) | trans(s199, s105))),
% 3.85/3.38 inference(monotonicity,[status(thm)],[15111])).
% 3.85/3.38 tff(15113,plain,
% 3.85/3.38 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105))),
% 3.85/3.38 inference(transitivity,[status(thm)],[15112, 14801])).
% 3.85/3.38 tff(15114,plain,
% 3.85/3.38 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105)) | trans(s199, s106))),
% 3.85/3.38 inference(monotonicity,[status(thm)],[15113])).
% 3.85/3.38 tff(15115,plain,
% 3.85/3.38 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106))),
% 3.85/3.39 inference(transitivity,[status(thm)],[15114, 14800])).
% 3.85/3.39 tff(15116,plain,
% 3.85/3.39 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106)) | trans(s199, s107))),
% 3.85/3.39 inference(monotonicity,[status(thm)],[15115])).
% 3.85/3.39 tff(15117,plain,
% 3.85/3.39 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107))),
% 3.85/3.40 inference(transitivity,[status(thm)],[15116, 14799])).
% 3.85/3.40 tff(15118,plain,
% 3.85/3.40 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107)) | trans(s199, s108))),
% 3.85/3.40 inference(monotonicity,[status(thm)],[15117])).
% 3.85/3.40 tff(15119,plain,
% 3.85/3.40 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108))),
% 3.85/3.40 inference(transitivity,[status(thm)],[15118, 14798])).
% 3.85/3.40 tff(15120,plain,
% 3.85/3.40 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108)) | trans(s199, s109))),
% 3.85/3.41 inference(monotonicity,[status(thm)],[15119])).
% 3.85/3.41 tff(15121,plain,
% 3.85/3.41 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109))),
% 3.85/3.41 inference(transitivity,[status(thm)],[15120, 14797])).
% 3.85/3.41 tff(15122,plain,
% 3.85/3.41 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109)) | trans(s199, s110))),
% 3.85/3.41 inference(monotonicity,[status(thm)],[15121])).
% 3.85/3.41 tff(15123,plain,
% 3.85/3.41 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110))),
% 3.94/3.42 inference(transitivity,[status(thm)],[15122, 14796])).
% 3.94/3.42 tff(15124,plain,
% 3.94/3.42 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110)) | trans(s199, s111))),
% 3.94/3.42 inference(monotonicity,[status(thm)],[15123])).
% 3.94/3.42 tff(15125,plain,
% 3.94/3.42 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111))),
% 3.94/3.42 inference(transitivity,[status(thm)],[15124, 14795])).
% 3.94/3.42 tff(15126,plain,
% 3.94/3.42 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111)) | trans(s199, s112))),
% 3.94/3.43 inference(monotonicity,[status(thm)],[15125])).
% 3.94/3.43 tff(15127,plain,
% 3.94/3.43 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112))),
% 3.94/3.43 inference(transitivity,[status(thm)],[15126, 14794])).
% 3.94/3.43 tff(15128,plain,
% 3.94/3.43 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112)) | trans(s199, s113))),
% 3.94/3.43 inference(monotonicity,[status(thm)],[15127])).
% 3.94/3.43 tff(15129,plain,
% 3.94/3.43 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113))),
% 3.94/3.44 inference(transitivity,[status(thm)],[15128, 14793])).
% 3.94/3.44 tff(15130,plain,
% 3.94/3.44 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113)) | trans(s199, s114))),
% 3.94/3.44 inference(monotonicity,[status(thm)],[15129])).
% 3.94/3.44 tff(15131,plain,
% 3.94/3.44 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114))),
% 3.94/3.44 inference(transitivity,[status(thm)],[15130, 14792])).
% 3.94/3.44 tff(15132,plain,
% 3.94/3.44 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114)) | trans(s199, s115))),
% 3.94/3.45 inference(monotonicity,[status(thm)],[15131])).
% 3.94/3.45 tff(15133,plain,
% 3.94/3.45 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115))),
% 3.94/3.45 inference(transitivity,[status(thm)],[15132, 14791])).
% 3.94/3.45 tff(15134,plain,
% 3.94/3.45 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115)) | trans(s199, s116))),
% 3.94/3.46 inference(monotonicity,[status(thm)],[15133])).
% 3.94/3.46 tff(15135,plain,
% 3.94/3.46 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116))),
% 3.94/3.46 inference(transitivity,[status(thm)],[15134, 14790])).
% 3.94/3.46 tff(15136,plain,
% 3.94/3.46 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116)) | trans(s199, s117))),
% 3.94/3.46 inference(monotonicity,[status(thm)],[15135])).
% 3.94/3.46 tff(15137,plain,
% 3.94/3.46 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117))),
% 3.94/3.46 inference(transitivity,[status(thm)],[15136, 14789])).
% 3.94/3.46 tff(15138,plain,
% 3.94/3.46 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117)) | trans(s199, s118))),
% 3.94/3.47 inference(monotonicity,[status(thm)],[15137])).
% 3.94/3.47 tff(15139,plain,
% 3.94/3.47 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118))),
% 3.94/3.47 inference(transitivity,[status(thm)],[15138, 14788])).
% 3.94/3.47 tff(15140,plain,
% 3.94/3.47 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118)) | trans(s199, s119))),
% 3.94/3.48 inference(monotonicity,[status(thm)],[15139])).
% 3.94/3.48 tff(15141,plain,
% 3.94/3.48 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119))),
% 3.94/3.48 inference(transitivity,[status(thm)],[15140, 14787])).
% 3.94/3.48 tff(15142,plain,
% 3.94/3.48 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119)) | trans(s199, s120))),
% 3.94/3.48 inference(monotonicity,[status(thm)],[15141])).
% 3.94/3.48 tff(15143,plain,
% 3.94/3.48 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120))),
% 3.94/3.49 inference(transitivity,[status(thm)],[15142, 14786])).
% 3.94/3.49 tff(15144,plain,
% 3.94/3.49 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120)) | trans(s199, s121))),
% 3.94/3.49 inference(monotonicity,[status(thm)],[15143])).
% 3.94/3.49 tff(15145,plain,
% 3.94/3.49 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121))),
% 3.94/3.50 inference(transitivity,[status(thm)],[15144, 14785])).
% 3.94/3.50 tff(15146,plain,
% 3.94/3.50 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121)) | trans(s199, s122))),
% 3.94/3.50 inference(monotonicity,[status(thm)],[15145])).
% 3.94/3.50 tff(15147,plain,
% 3.94/3.50 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122))),
% 3.94/3.50 inference(transitivity,[status(thm)],[15146, 14784])).
% 3.94/3.50 tff(15148,plain,
% 3.94/3.50 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122)) | trans(s199, s123))),
% 4.03/3.51 inference(monotonicity,[status(thm)],[15147])).
% 4.03/3.51 tff(15149,plain,
% 4.03/3.51 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123))),
% 4.03/3.51 inference(transitivity,[status(thm)],[15148, 14783])).
% 4.03/3.51 tff(15150,plain,
% 4.03/3.51 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123)) | trans(s199, s124))),
% 4.03/3.51 inference(monotonicity,[status(thm)],[15149])).
% 4.03/3.51 tff(15151,plain,
% 4.03/3.51 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124))),
% 4.03/3.52 inference(transitivity,[status(thm)],[15150, 14782])).
% 4.03/3.52 tff(15152,plain,
% 4.03/3.52 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124)) | trans(s199, s125))),
% 4.03/3.52 inference(monotonicity,[status(thm)],[15151])).
% 4.03/3.52 tff(15153,plain,
% 4.03/3.52 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125))),
% 4.03/3.53 inference(transitivity,[status(thm)],[15152, 14781])).
% 4.03/3.53 tff(15154,plain,
% 4.03/3.53 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125)) | trans(s199, s126))),
% 4.03/3.53 inference(monotonicity,[status(thm)],[15153])).
% 4.03/3.53 tff(15155,plain,
% 4.03/3.53 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126))),
% 4.03/3.53 inference(transitivity,[status(thm)],[15154, 14780])).
% 4.03/3.53 tff(15156,plain,
% 4.03/3.53 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126)) | trans(s199, s127))),
% 4.03/3.54 inference(monotonicity,[status(thm)],[15155])).
% 4.03/3.54 tff(15157,plain,
% 4.03/3.54 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127))),
% 4.03/3.54 inference(transitivity,[status(thm)],[15156, 14779])).
% 4.03/3.54 tff(15158,plain,
% 4.03/3.54 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127)) | trans(s199, s128))),
% 4.03/3.55 inference(monotonicity,[status(thm)],[15157])).
% 4.03/3.55 tff(15159,plain,
% 4.03/3.55 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128))),
% 4.03/3.55 inference(transitivity,[status(thm)],[15158, 14778])).
% 4.03/3.55 tff(15160,plain,
% 4.03/3.55 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128)) | trans(s199, s129))),
% 4.03/3.55 inference(monotonicity,[status(thm)],[15159])).
% 4.03/3.55 tff(15161,plain,
% 4.03/3.55 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129))),
% 4.03/3.56 inference(transitivity,[status(thm)],[15160, 14777])).
% 4.03/3.56 tff(15162,plain,
% 4.03/3.56 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129)) | trans(s199, s130))),
% 4.03/3.56 inference(monotonicity,[status(thm)],[15161])).
% 4.03/3.56 tff(15163,plain,
% 4.03/3.56 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130))),
% 4.03/3.57 inference(transitivity,[status(thm)],[15162, 14776])).
% 4.03/3.57 tff(15164,plain,
% 4.03/3.57 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130)) | trans(s199, s131))),
% 4.03/3.57 inference(monotonicity,[status(thm)],[15163])).
% 4.03/3.57 tff(15165,plain,
% 4.03/3.57 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131))),
% 4.03/3.58 inference(transitivity,[status(thm)],[15164, 14775])).
% 4.03/3.58 tff(15166,plain,
% 4.03/3.58 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131)) | trans(s199, s132))),
% 4.03/3.58 inference(monotonicity,[status(thm)],[15165])).
% 4.03/3.58 tff(15167,plain,
% 4.03/3.58 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132))),
% 4.03/3.58 inference(transitivity,[status(thm)],[15166, 14774])).
% 4.03/3.58 tff(15168,plain,
% 4.03/3.58 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132)) | trans(s199, s133))),
% 4.12/3.59 inference(monotonicity,[status(thm)],[15167])).
% 4.12/3.59 tff(15169,plain,
% 4.12/3.59 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133))),
% 4.12/3.59 inference(transitivity,[status(thm)],[15168, 14773])).
% 4.12/3.59 tff(15170,plain,
% 4.12/3.59 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133)) | trans(s199, s134))),
% 4.12/3.60 inference(monotonicity,[status(thm)],[15169])).
% 4.12/3.60 tff(15171,plain,
% 4.12/3.60 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134))),
% 4.12/3.60 inference(transitivity,[status(thm)],[15170, 14772])).
% 4.12/3.60 tff(15172,plain,
% 4.12/3.60 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134)) | trans(s199, s135))),
% 4.12/3.60 inference(monotonicity,[status(thm)],[15171])).
% 4.12/3.60 tff(15173,plain,
% 4.12/3.60 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135))),
% 4.12/3.61 inference(transitivity,[status(thm)],[15172, 14771])).
% 4.12/3.61 tff(15174,plain,
% 4.12/3.61 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135)) | trans(s199, s136))),
% 4.12/3.61 inference(monotonicity,[status(thm)],[15173])).
% 4.12/3.61 tff(15175,plain,
% 4.12/3.61 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136))),
% 4.12/3.62 inference(transitivity,[status(thm)],[15174, 14770])).
% 4.12/3.62 tff(15176,plain,
% 4.12/3.62 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136)) | trans(s199, s137))),
% 4.12/3.62 inference(monotonicity,[status(thm)],[15175])).
% 4.12/3.62 tff(15177,plain,
% 4.12/3.62 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137))),
% 4.12/3.63 inference(transitivity,[status(thm)],[15176, 14769])).
% 4.12/3.63 tff(15178,plain,
% 4.12/3.63 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137)) | trans(s199, s138))),
% 4.12/3.63 inference(monotonicity,[status(thm)],[15177])).
% 4.12/3.63 tff(15179,plain,
% 4.12/3.63 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138))),
% 4.12/3.63 inference(transitivity,[status(thm)],[15178, 14768])).
% 4.12/3.63 tff(15180,plain,
% 4.12/3.63 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138)) | trans(s199, s139))),
% 4.12/3.64 inference(monotonicity,[status(thm)],[15179])).
% 4.12/3.64 tff(15181,plain,
% 4.12/3.64 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139))),
% 4.12/3.64 inference(transitivity,[status(thm)],[15180, 14767])).
% 4.12/3.64 tff(15182,plain,
% 4.12/3.64 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139)) | trans(s199, s140))),
% 4.12/3.65 inference(monotonicity,[status(thm)],[15181])).
% 4.12/3.65 tff(15183,plain,
% 4.12/3.65 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140))),
% 4.12/3.65 inference(transitivity,[status(thm)],[15182, 14766])).
% 4.12/3.65 tff(15184,plain,
% 4.12/3.65 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140)) | trans(s199, s141))),
% 4.12/3.66 inference(monotonicity,[status(thm)],[15183])).
% 4.12/3.66 tff(15185,plain,
% 4.12/3.66 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141))),
% 4.12/3.66 inference(transitivity,[status(thm)],[15184, 14765])).
% 4.12/3.66 tff(15186,plain,
% 4.12/3.66 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141)) | trans(s199, s142))),
% 4.12/3.67 inference(monotonicity,[status(thm)],[15185])).
% 4.12/3.67 tff(15187,plain,
% 4.12/3.67 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142))),
% 4.12/3.67 inference(transitivity,[status(thm)],[15186, 14764])).
% 4.12/3.67 tff(15188,plain,
% 4.12/3.67 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142)) | trans(s199, s143))),
% 4.12/3.67 inference(monotonicity,[status(thm)],[15187])).
% 4.12/3.67 tff(15189,plain,
% 4.12/3.67 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143))),
% 4.20/3.68 inference(transitivity,[status(thm)],[15188, 14763])).
% 4.20/3.68 tff(15190,plain,
% 4.20/3.68 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143)) | trans(s199, s144))),
% 4.20/3.68 inference(monotonicity,[status(thm)],[15189])).
% 4.20/3.68 tff(15191,plain,
% 4.20/3.68 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144))),
% 4.21/3.69 inference(transitivity,[status(thm)],[15190, 14762])).
% 4.21/3.69 tff(15192,plain,
% 4.21/3.69 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144)) | trans(s199, s145))),
% 4.21/3.69 inference(monotonicity,[status(thm)],[15191])).
% 4.21/3.69 tff(15193,plain,
% 4.21/3.69 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145))),
% 4.21/3.70 inference(transitivity,[status(thm)],[15192, 14761])).
% 4.21/3.70 tff(15194,plain,
% 4.21/3.70 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145)) | trans(s199, s146))),
% 4.21/3.70 inference(monotonicity,[status(thm)],[15193])).
% 4.21/3.70 tff(15195,plain,
% 4.21/3.70 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146))),
% 4.23/3.71 inference(transitivity,[status(thm)],[15194, 14760])).
% 4.23/3.71 tff(15196,plain,
% 4.23/3.71 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146)) | trans(s199, s147))),
% 4.23/3.71 inference(monotonicity,[status(thm)],[15195])).
% 4.23/3.71 tff(15197,plain,
% 4.23/3.71 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147))),
% 4.24/3.72 inference(transitivity,[status(thm)],[15196, 14759])).
% 4.24/3.72 tff(15198,plain,
% 4.24/3.72 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147)) | trans(s199, s148))),
% 4.24/3.72 inference(monotonicity,[status(thm)],[15197])).
% 4.24/3.72 tff(15199,plain,
% 4.24/3.72 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148))),
% 4.24/3.73 inference(transitivity,[status(thm)],[15198, 14758])).
% 4.24/3.73 tff(15200,plain,
% 4.24/3.73 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148)) | trans(s199, s149))),
% 4.24/3.73 inference(monotonicity,[status(thm)],[15199])).
% 4.24/3.73 tff(15201,plain,
% 4.24/3.73 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149))),
% 4.24/3.73 inference(transitivity,[status(thm)],[15200, 14757])).
% 4.24/3.73 tff(15202,plain,
% 4.24/3.73 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149)) | trans(s199, s150))),
% 4.24/3.74 inference(monotonicity,[status(thm)],[15201])).
% 4.24/3.74 tff(15203,plain,
% 4.24/3.74 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150))),
% 4.24/3.74 inference(transitivity,[status(thm)],[15202, 14756])).
% 4.24/3.74 tff(15204,plain,
% 4.24/3.74 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150)) | trans(s199, s151))),
% 4.24/3.75 inference(monotonicity,[status(thm)],[15203])).
% 4.24/3.75 tff(15205,plain,
% 4.24/3.75 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151))),
% 4.24/3.75 inference(transitivity,[status(thm)],[15204, 14755])).
% 4.24/3.75 tff(15206,plain,
% 4.24/3.75 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151)) | trans(s199, s152))),
% 4.24/3.76 inference(monotonicity,[status(thm)],[15205])).
% 4.24/3.76 tff(15207,plain,
% 4.24/3.76 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152))),
% 4.24/3.76 inference(transitivity,[status(thm)],[15206, 14754])).
% 4.24/3.76 tff(15208,plain,
% 4.24/3.76 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152)) | trans(s199, s153))),
% 4.24/3.77 inference(monotonicity,[status(thm)],[15207])).
% 4.24/3.77 tff(15209,plain,
% 4.24/3.77 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153))),
% 4.24/3.77 inference(transitivity,[status(thm)],[15208, 14753])).
% 4.24/3.77 tff(15210,plain,
% 4.24/3.77 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153)) | trans(s199, s154))),
% 4.24/3.78 inference(monotonicity,[status(thm)],[15209])).
% 4.24/3.78 tff(15211,plain,
% 4.24/3.78 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154))),
% 4.24/3.78 inference(transitivity,[status(thm)],[15210, 14752])).
% 4.24/3.78 tff(15212,plain,
% 4.24/3.78 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154)) | trans(s199, s155))),
% 4.24/3.79 inference(monotonicity,[status(thm)],[15211])).
% 4.24/3.79 tff(15213,plain,
% 4.24/3.79 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155))),
% 4.24/3.79 inference(transitivity,[status(thm)],[15212, 14751])).
% 4.24/3.79 tff(15214,plain,
% 4.24/3.79 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155)) | trans(s199, s156))),
% 4.24/3.80 inference(monotonicity,[status(thm)],[15213])).
% 4.24/3.80 tff(15215,plain,
% 4.24/3.80 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156))),
% 4.24/3.80 inference(transitivity,[status(thm)],[15214, 14750])).
% 4.24/3.80 tff(15216,plain,
% 4.24/3.80 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156)) | trans(s199, s157))),
% 4.24/3.81 inference(monotonicity,[status(thm)],[15215])).
% 4.24/3.81 tff(15217,plain,
% 4.24/3.81 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157))),
% 4.33/3.81 inference(transitivity,[status(thm)],[15216, 14749])).
% 4.33/3.81 tff(15218,plain,
% 4.33/3.81 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157)) | trans(s199, s158))),
% 4.33/3.81 inference(monotonicity,[status(thm)],[15217])).
% 4.33/3.81 tff(15219,plain,
% 4.33/3.81 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158))),
% 4.33/3.82 inference(transitivity,[status(thm)],[15218, 14748])).
% 4.33/3.82 tff(15220,plain,
% 4.33/3.82 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158)) | trans(s199, s159))),
% 4.33/3.82 inference(monotonicity,[status(thm)],[15219])).
% 4.33/3.82 tff(15221,plain,
% 4.33/3.82 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159))),
% 4.33/3.83 inference(transitivity,[status(thm)],[15220, 14747])).
% 4.33/3.83 tff(15222,plain,
% 4.33/3.83 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159)) | trans(s199, s160))),
% 4.33/3.84 inference(monotonicity,[status(thm)],[15221])).
% 4.33/3.84 tff(15223,plain,
% 4.33/3.84 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160))),
% 4.33/3.84 inference(transitivity,[status(thm)],[15222, 14746])).
% 4.33/3.84 tff(15224,plain,
% 4.33/3.84 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160)) | trans(s199, s161))),
% 4.33/3.85 inference(monotonicity,[status(thm)],[15223])).
% 4.33/3.85 tff(15225,plain,
% 4.33/3.85 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161))),
% 4.33/3.85 inference(transitivity,[status(thm)],[15224, 14745])).
% 4.33/3.85 tff(15226,plain,
% 4.33/3.85 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161)) | trans(s199, s162))),
% 4.33/3.86 inference(monotonicity,[status(thm)],[15225])).
% 4.33/3.86 tff(15227,plain,
% 4.33/3.86 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162))),
% 4.33/3.86 inference(transitivity,[status(thm)],[15226, 14744])).
% 4.33/3.86 tff(15228,plain,
% 4.33/3.86 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162)) | trans(s199, s163))),
% 4.33/3.86 inference(monotonicity,[status(thm)],[15227])).
% 4.33/3.86 tff(15229,plain,
% 4.33/3.86 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163))),
% 4.33/3.87 inference(transitivity,[status(thm)],[15228, 14743])).
% 4.33/3.87 tff(15230,plain,
% 4.33/3.87 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163)) | trans(s199, s164))),
% 4.33/3.88 inference(monotonicity,[status(thm)],[15229])).
% 4.33/3.88 tff(15231,plain,
% 4.33/3.88 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164))),
% 4.33/3.88 inference(transitivity,[status(thm)],[15230, 14742])).
% 4.33/3.88 tff(15232,plain,
% 4.33/3.88 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164)) | trans(s199, s165))),
% 4.33/3.89 inference(monotonicity,[status(thm)],[15231])).
% 4.33/3.89 tff(15233,plain,
% 4.33/3.89 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165))),
% 4.42/3.89 inference(transitivity,[status(thm)],[15232, 14741])).
% 4.42/3.89 tff(15234,plain,
% 4.42/3.89 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165)) | trans(s199, s166))),
% 4.42/3.90 inference(monotonicity,[status(thm)],[15233])).
% 4.42/3.90 tff(15235,plain,
% 4.42/3.90 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166))),
% 4.42/3.90 inference(transitivity,[status(thm)],[15234, 14740])).
% 4.42/3.90 tff(15236,plain,
% 4.42/3.90 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166)) | trans(s199, s167))),
% 4.42/3.91 inference(monotonicity,[status(thm)],[15235])).
% 4.42/3.91 tff(15237,plain,
% 4.42/3.91 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167))),
% 4.42/3.91 inference(transitivity,[status(thm)],[15236, 14739])).
% 4.42/3.91 tff(15238,plain,
% 4.42/3.91 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167)) | trans(s199, s168))),
% 4.42/3.92 inference(monotonicity,[status(thm)],[15237])).
% 4.42/3.92 tff(15239,plain,
% 4.42/3.92 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168))),
% 4.42/3.92 inference(transitivity,[status(thm)],[15238, 14738])).
% 4.42/3.92 tff(15240,plain,
% 4.42/3.92 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168)) | trans(s199, s169))),
% 4.42/3.93 inference(monotonicity,[status(thm)],[15239])).
% 4.42/3.93 tff(15241,plain,
% 4.42/3.93 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169))),
% 4.42/3.93 inference(transitivity,[status(thm)],[15240, 14737])).
% 4.42/3.93 tff(15242,plain,
% 4.42/3.93 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169)) | trans(s199, s170))),
% 4.42/3.94 inference(monotonicity,[status(thm)],[15241])).
% 4.42/3.94 tff(15243,plain,
% 4.42/3.94 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170))),
% 4.42/3.94 inference(transitivity,[status(thm)],[15242, 14736])).
% 4.42/3.94 tff(15244,plain,
% 4.42/3.94 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170)) | trans(s199, s171))),
% 4.42/3.95 inference(monotonicity,[status(thm)],[15243])).
% 4.42/3.95 tff(15245,plain,
% 4.42/3.95 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171))),
% 4.42/3.95 inference(transitivity,[status(thm)],[15244, 14735])).
% 4.42/3.95 tff(15246,plain,
% 4.42/3.95 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171)) | trans(s199, s172))),
% 4.42/3.96 inference(monotonicity,[status(thm)],[15245])).
% 4.42/3.96 tff(15247,plain,
% 4.42/3.96 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172))),
% 4.42/3.97 inference(transitivity,[status(thm)],[15246, 14734])).
% 4.42/3.97 tff(15248,plain,
% 4.42/3.97 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172)) | trans(s199, s173))),
% 4.42/3.97 inference(monotonicity,[status(thm)],[15247])).
% 4.42/3.97 tff(15249,plain,
% 4.42/3.97 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173))),
% 4.42/3.97 inference(transitivity,[status(thm)],[15248, 14733])).
% 4.42/3.97 tff(15250,plain,
% 4.42/3.97 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173)) | trans(s199, s174))),
% 4.50/3.98 inference(monotonicity,[status(thm)],[15249])).
% 4.50/3.98 tff(15251,plain,
% 4.50/3.98 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174))),
% 4.50/3.99 inference(transitivity,[status(thm)],[15250, 14732])).
% 4.50/3.99 tff(15252,plain,
% 4.50/3.99 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174)) | trans(s199, s175))),
% 4.50/3.99 inference(monotonicity,[status(thm)],[15251])).
% 4.50/3.99 tff(15253,plain,
% 4.50/3.99 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175))),
% 4.50/4.00 inference(transitivity,[status(thm)],[15252, 14731])).
% 4.50/4.00 tff(15254,plain,
% 4.50/4.00 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175)) | trans(s199, s176))),
% 4.53/4.00 inference(monotonicity,[status(thm)],[15253])).
% 4.53/4.00 tff(15255,plain,
% 4.53/4.00 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176))),
% 4.53/4.01 inference(transitivity,[status(thm)],[15254, 14730])).
% 4.53/4.01 tff(15256,plain,
% 4.53/4.01 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176)) | trans(s199, s177))),
% 4.53/4.02 inference(monotonicity,[status(thm)],[15255])).
% 4.53/4.02 tff(15257,plain,
% 4.53/4.02 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177))),
% 4.55/4.02 inference(transitivity,[status(thm)],[15256, 14729])).
% 4.55/4.02 tff(15258,plain,
% 4.55/4.02 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177)) | trans(s199, s178))),
% 4.55/4.03 inference(monotonicity,[status(thm)],[15257])).
% 4.55/4.03 tff(15259,plain,
% 4.55/4.03 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178))),
% 4.56/4.03 inference(transitivity,[status(thm)],[15258, 14728])).
% 4.56/4.03 tff(15260,plain,
% 4.56/4.03 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178)) | trans(s199, s179))),
% 4.56/4.04 inference(monotonicity,[status(thm)],[15259])).
% 4.56/4.04 tff(15261,plain,
% 4.56/4.04 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179))),
% 4.56/4.04 inference(transitivity,[status(thm)],[15260, 14727])).
% 4.56/4.04 tff(15262,plain,
% 4.56/4.04 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179)) | trans(s199, s180))),
% 4.56/4.05 inference(monotonicity,[status(thm)],[15261])).
% 4.56/4.05 tff(15263,plain,
% 4.56/4.05 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180))),
% 4.56/4.05 inference(transitivity,[status(thm)],[15262, 14726])).
% 4.56/4.05 tff(15264,plain,
% 4.56/4.05 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180)) | trans(s199, s181))),
% 4.56/4.06 inference(monotonicity,[status(thm)],[15263])).
% 4.56/4.06 tff(15265,plain,
% 4.56/4.06 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181))),
% 4.56/4.07 inference(transitivity,[status(thm)],[15264, 14725])).
% 4.56/4.07 tff(15266,plain,
% 4.56/4.07 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181)) | trans(s199, s182))),
% 4.56/4.07 inference(monotonicity,[status(thm)],[15265])).
% 4.56/4.07 tff(15267,plain,
% 4.56/4.07 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182))),
% 4.56/4.08 inference(transitivity,[status(thm)],[15266, 14724])).
% 4.56/4.08 tff(15268,plain,
% 4.56/4.08 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182)) | trans(s199, s183))),
% 4.56/4.08 inference(monotonicity,[status(thm)],[15267])).
% 4.56/4.08 tff(15269,plain,
% 4.56/4.08 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183))),
% 4.56/4.09 inference(transitivity,[status(thm)],[15268, 14723])).
% 4.56/4.09 tff(15270,plain,
% 4.56/4.09 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183)) | trans(s199, s184))),
% 4.56/4.09 inference(monotonicity,[status(thm)],[15269])).
% 4.56/4.09 tff(15271,plain,
% 4.56/4.09 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184))),
% 4.56/4.10 inference(transitivity,[status(thm)],[15270, 14722])).
% 4.56/4.10 tff(15272,plain,
% 4.56/4.10 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184)) | trans(s199, s185))),
% 4.56/4.10 inference(monotonicity,[status(thm)],[15271])).
% 4.56/4.10 tff(15273,plain,
% 4.56/4.10 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185))),
% 4.63/4.11 inference(transitivity,[status(thm)],[15272, 14721])).
% 4.63/4.11 tff(15274,plain,
% 4.63/4.11 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185)) | trans(s199, s186))),
% 4.63/4.12 inference(monotonicity,[status(thm)],[15273])).
% 4.63/4.12 tff(15275,plain,
% 4.63/4.12 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186))),
% 4.63/4.12 inference(transitivity,[status(thm)],[15274, 14720])).
% 4.63/4.12 tff(15276,plain,
% 4.63/4.12 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186)) | trans(s199, s187))),
% 4.63/4.13 inference(monotonicity,[status(thm)],[15275])).
% 4.63/4.13 tff(15277,plain,
% 4.63/4.13 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187))),
% 4.63/4.14 inference(transitivity,[status(thm)],[15276, 14719])).
% 4.63/4.14 tff(15278,plain,
% 4.63/4.14 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187)) | trans(s199, s188))),
% 4.63/4.14 inference(monotonicity,[status(thm)],[15277])).
% 4.63/4.14 tff(15279,plain,
% 4.63/4.14 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188))),
% 4.63/4.15 inference(transitivity,[status(thm)],[15278, 14718])).
% 4.63/4.15 tff(15280,plain,
% 4.63/4.15 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188)) | trans(s199, s189))),
% 4.63/4.15 inference(monotonicity,[status(thm)],[15279])).
% 4.63/4.15 tff(15281,plain,
% 4.63/4.15 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189))),
% 4.63/4.16 inference(transitivity,[status(thm)],[15280, 14717])).
% 4.63/4.16 tff(15282,plain,
% 4.63/4.16 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189)) | trans(s199, s190))),
% 4.63/4.16 inference(monotonicity,[status(thm)],[15281])).
% 4.63/4.16 tff(15283,plain,
% 4.63/4.16 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190))),
% 4.63/4.17 inference(transitivity,[status(thm)],[15282, 14716])).
% 4.63/4.17 tff(15284,plain,
% 4.63/4.17 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190)) | trans(s199, s191))),
% 4.70/4.18 inference(monotonicity,[status(thm)],[15283])).
% 4.70/4.18 tff(15285,plain,
% 4.70/4.18 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191))),
% 4.70/4.18 inference(transitivity,[status(thm)],[15284, 14715])).
% 4.70/4.18 tff(15286,plain,
% 4.70/4.18 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191)) | trans(s199, s192))),
% 4.70/4.19 inference(monotonicity,[status(thm)],[15285])).
% 4.70/4.19 tff(15287,plain,
% 4.70/4.19 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192))),
% 4.70/4.19 inference(transitivity,[status(thm)],[15286, 14714])).
% 4.70/4.19 tff(15288,plain,
% 4.70/4.19 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192)) | trans(s199, s193))),
% 4.70/4.20 inference(monotonicity,[status(thm)],[15287])).
% 4.70/4.20 tff(15289,plain,
% 4.70/4.20 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193))),
% 4.70/4.21 inference(transitivity,[status(thm)],[15288, 14713])).
% 4.70/4.21 tff(15290,plain,
% 4.70/4.21 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193)) | trans(s199, s194))),
% 4.70/4.21 inference(monotonicity,[status(thm)],[15289])).
% 4.70/4.21 tff(15291,plain,
% 4.70/4.21 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194))),
% 4.70/4.22 inference(transitivity,[status(thm)],[15290, 14712])).
% 4.70/4.22 tff(15292,plain,
% 4.70/4.22 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194)) | trans(s199, s195))),
% 4.70/4.23 inference(monotonicity,[status(thm)],[15291])).
% 4.70/4.23 tff(15293,plain,
% 4.70/4.23 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195))),
% 4.70/4.23 inference(transitivity,[status(thm)],[15292, 14711])).
% 4.70/4.23 tff(15294,plain,
% 4.70/4.23 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) | trans(s199, s196)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195)) | trans(s199, s196))),
% 4.70/4.24 inference(monotonicity,[status(thm)],[15293])).
% 4.70/4.24 tff(15295,plain,
% 4.70/4.24 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) | trans(s199, s196)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196))),
% 4.70/4.24 inference(transitivity,[status(thm)],[15294, 14710])).
% 4.70/4.24 tff(15296,plain,
% 4.70/4.24 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) | trans(s199, s196)) | trans(s199, s197)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196)) | trans(s199, s197))),
% 4.70/4.25 inference(monotonicity,[status(thm)],[15295])).
% 4.70/4.25 tff(15297,plain,
% 4.70/4.25 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) | trans(s199, s196)) | trans(s199, s197)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197))),
% 4.70/4.26 inference(transitivity,[status(thm)],[15296, 14709])).
% 4.70/4.26 tff(15298,plain,
% 4.70/4.26 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) | trans(s199, s196)) | trans(s199, s197)) | trans(s199, s198)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197)) | trans(s199, s198))),
% 4.79/4.26 inference(monotonicity,[status(thm)],[15297])).
% 4.79/4.26 tff(15299,plain,
% 4.79/4.26 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) | trans(s199, s196)) | trans(s199, s197)) | trans(s199, s198)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198))),
% 4.79/4.27 inference(transitivity,[status(thm)],[15298, 14708])).
% 4.79/4.27 tff(15300,plain,
% 4.79/4.27 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) | trans(s199, s196)) | trans(s199, s197)) | trans(s199, s198)) | trans(s199, s199)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198)) | trans(s199, s199))),
% 4.79/4.27 inference(monotonicity,[status(thm)],[15299])).
% 4.79/4.27 tff(15301,plain,
% 4.79/4.27 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) | trans(s199, s196)) | trans(s199, s197)) | trans(s199, s198)) | trans(s199, s199)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199))),
% 4.79/4.28 inference(transitivity,[status(thm)],[15300, 14707])).
% 4.79/4.28 tff(15302,axiom,(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) | trans(s199, s196)) | trans(s199, s197)) | trans(s199, s198)) | trans(s199, s199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound202')).
% 4.79/4.28 tff(15303,plain,
% 4.79/4.28 ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)),
% 4.81/4.29 inference(modus_ponens,[status(thm)],[15302, 15301])).
% 4.81/4.29 tff(15304,plain,
% 4.81/4.29 ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)),
% 4.81/4.29 inference(modus_ponens,[status(thm)],[15303, 14706])).
% 4.81/4.29 tff(15305,plain,
% 4.81/4.29 ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)),
% 4.81/4.29 inference(modus_ponens,[status(thm)],[15304, 14706])).
% 4.81/4.29 tff(15306,plain,
% 4.81/4.29 ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)),
% 4.81/4.30 inference(modus_ponens,[status(thm)],[15305, 14706])).
% 4.81/4.30 tff(15307,plain,
% 4.81/4.30 ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)),
% 4.81/4.30 inference(modus_ponens,[status(thm)],[15306, 14706])).
% 4.81/4.30 tff(15308,plain,
% 4.81/4.30 ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)),
% 4.81/4.30 inference(modus_ponens,[status(thm)],[15307, 14706])).
% 4.81/4.30 tff(15309,plain,
% 4.81/4.30 ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)),
% 4.81/4.31 inference(modus_ponens,[status(thm)],[15308, 14706])).
% 4.81/4.31 tff(15310,plain,
% 4.81/4.31 ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)),
% 4.81/4.31 inference(modus_ponens,[status(thm)],[15309, 14706])).
% 4.81/4.31 tff(15311,plain,
% 4.81/4.31 (trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)),
% 4.81/4.31 inference(unit_resolution,[status(thm)],[15310, 14705])).
% 4.81/4.31 tff(15312,plain,
% 4.81/4.31 (trans(s199, s196)),
% 4.81/4.31 inference(unit_resolution,[status(thm)],[15311, 13679, 13666, 13665, 13664, 13663, 13662, 13661, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13642, 13641, 13640, 13639, 13638, 13637, 13636, 13635, 13634, 13633, 13632, 13631, 13630, 13629, 13628, 13627, 13626, 13625, 13624, 13623, 13622, 13621, 13620, 13619, 13618, 13617, 13616, 13615, 13614, 13613, 13612, 13611, 13610, 13609, 13608, 13607, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13596, 13595, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 13586, 13585, 13584, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13568, 13567, 13566, 13565, 13564, 13563, 13562, 13561, 13560, 13559, 13558, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13538, 13537, 13536, 13535, 13534, 13533, 13532, 13531, 13530, 13529, 13528, 13527, 13526, 13525, 13524, 13523, 13522, 13521, 13520, 13519, 13518, 13517, 13516, 13515, 13514, 13513, 13512, 13511, 13510, 13509, 13508, 13507, 13506, 13505, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13496, 13495, 13494, 13493, 13492, 13491, 13490, 13489, 13488, 13487, 13486, 13485, 13484, 13483, 13473, 13462, 13451, 13440, 13439, 13438, 13437, 13436, 13435, 13434, 13433, 13432, 13421, 13378])).
% 4.81/4.31 tff(15313,plain,
% 4.81/4.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s196) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s196)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s196) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s196)))),
% 4.81/4.31 inference(rewrite,[status(thm)],[])).
% 4.81/4.31 tff(15314,plain,
% 4.81/4.31 (((~trans(s199, s196)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s196)) <=> (until2p7(s196) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s196)))),
% 4.81/4.31 inference(rewrite,[status(thm)],[])).
% 4.81/4.31 tff(15315,plain,
% 4.81/4.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s196)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s196) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s196))))),
% 4.81/4.31 inference(monotonicity,[status(thm)],[15314])).
% 4.81/4.31 tff(15316,plain,
% 4.81/4.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s196)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s196) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s196)))),
% 4.81/4.31 inference(transitivity,[status(thm)],[15315, 15313])).
% 4.81/4.31 tff(15317,plain,
% 4.81/4.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s196)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s196))),
% 4.81/4.31 inference(quant_inst,[status(thm)],[])).
% 4.81/4.31 tff(15318,plain,
% 4.81/4.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s196) | (~last(s199)) | (~xuntil6(s199)) | (~trans(s199, s196))),
% 4.81/4.31 inference(modus_ponens,[status(thm)],[15317, 15316])).
% 4.81/4.31 tff(15319,plain,
% 4.81/4.31 ($false),
% 4.81/4.31 inference(unit_resolution,[status(thm)],[15318, 8279, 15312, 11275, 13377, 11264])).
% 4.81/4.31 tff(15320,plain,(until2p7(s197) | (~xuntil6(s199)) | trans(s199, s175) | trans(s199, s63) | trans(s199, s61) | trans(s199, s171) | trans(s199, s36) | trans(s199, s154) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s152) | trans(s199, s78) | trans(s199, s168) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s166) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s167) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s176) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s169) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s145) | trans(s199, s163) | trans(s199, s173) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s172) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s170) | trans(s199, s199) | trans(s199, s186) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s149) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s144) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s188) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s164) | trans(s199, s161) | trans(s199, s153) | trans(s199, s19) | trans(s199, s94) | trans(s199, s198) | trans(s199, s68) | trans(s199, s150) | trans(s199, s35) | trans(s199, s157) | trans(s199, s191) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s180) | trans(s199, s179) | trans(s199, s177) | trans(s199, s156) | trans(s199, s181) | trans(s199, s187) | trans(s199, s84) | trans(s199, s142) | trans(s199, s174) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s165) | trans(s199, s37) | trans(s199, s143) | trans(s199, s79) | trans(s199, s155) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s162) | trans(s199, s120) | trans(s199, s138) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s183) | trans(s199, s182) | trans(s199, s190) | trans(s199, s192) | trans(s199, s93) | trans(s199, s178) | trans(s199, s16) | trans(s199, s15) | trans(s199, s147) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | node4(s185) | node4(s187) | node4(s189) | node4(s193) | node4(s195)), inference(lemma,lemma(discharge,[]))).
% 4.81/4.31 tff(15321,plain,
% 4.81/4.31 (trans(s199, s0)),
% 4.81/4.31 inference(unit_resolution,[status(thm)],[15320, 13374, 8354, 13364, 13353, 13342, 13331, 13320, 13309, 13298, 13287, 13276, 13265, 13254, 13243, 13232, 13221, 13210, 13199, 13188, 13177, 13166, 13155, 13144, 13133, 13122, 13111, 13100, 13089, 13078, 13067, 13056, 13045, 13034, 13023, 13012, 13001, 12990, 12979, 12968, 12957, 12946, 12935, 12924, 12913, 12902, 12891, 12880, 12869, 12858, 12847, 12836, 12825, 12814, 12803, 12792, 12781, 12770, 12759, 12748, 12737, 12726, 12715, 12704, 12693, 12682, 12671, 12660, 12649, 12638, 12627, 12616, 12605, 12594, 12583, 12572, 12561, 12550, 12539, 12528, 12517, 12506, 12495, 12484, 12473, 12462, 12451, 12440, 12429, 12418, 12407, 12396, 12385, 12374, 12363, 12352, 12341, 12330, 12319, 12308, 12297, 12286, 12275, 12264, 12253, 12242, 12231, 12220, 12209, 12198, 12187, 12176, 12165, 12154, 12143, 12132, 12121, 12110, 12099, 12088, 12077, 12066, 12055, 12044, 12033, 12022, 12011, 12000, 11989, 11978, 11967, 11956, 11945, 11934, 11923, 11912, 11901, 11890, 11879, 11868, 11857, 11846, 11835, 11824, 11813, 11802, 11791, 11780, 11769, 11758, 11747, 11736, 11725, 11714, 11703, 11692, 11681, 11670, 11659, 11648, 11637, 11626, 11615, 11604, 11593, 11582, 11571, 11560, 11549, 11538, 11527, 11516, 11505, 11494, 11483, 11472, 11461, 11450, 11439, 11428, 11417, 11406, 11395, 11384, 8266, 11373, 11362, 11351, 11340, 11329, 11318, 11307, 11296, 11285, 8531, 8475, 3379, 8391, 8370])).
% 4.81/4.32 tff(15322,assumption,(~until2p7(s0)), introduced(assumption)).
% 4.81/4.32 tff(15323,assumption,(trans(s199, s0)), introduced(assumption)).
% 4.81/4.32 tff(15324,plain,
% 4.81/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~last(s199)) | (~xuntil6(s199)) | until2p7(s0) | (~trans(s199, s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s0) | (~trans(s199, s0)))),
% 4.81/4.32 inference(rewrite,[status(thm)],[])).
% 4.81/4.32 tff(15325,plain,
% 4.81/4.32 (((~trans(s199, s0)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s0)) <=> ((~last(s199)) | (~xuntil6(s199)) | until2p7(s0) | (~trans(s199, s0)))),
% 4.81/4.32 inference(rewrite,[status(thm)],[])).
% 4.81/4.32 tff(15326,plain,
% 4.81/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s0)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~last(s199)) | (~xuntil6(s199)) | until2p7(s0) | (~trans(s199, s0))))),
% 4.81/4.32 inference(monotonicity,[status(thm)],[15325])).
% 4.81/4.32 tff(15327,plain,
% 4.81/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s0)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s0) | (~trans(s199, s0)))),
% 4.81/4.32 inference(transitivity,[status(thm)],[15326, 15324])).
% 4.81/4.32 tff(15328,plain,
% 4.81/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s199, s0)) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s0))),
% 4.81/4.32 inference(quant_inst,[status(thm)],[])).
% 4.81/4.32 tff(15329,plain,
% 4.81/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (~last(s199)) | (~xuntil6(s199)) | until2p7(s0) | (~trans(s199, s0))),
% 4.81/4.32 inference(modus_ponens,[status(thm)],[15328, 15327])).
% 4.81/4.32 tff(15330,plain,
% 4.81/4.32 ($false),
% 4.81/4.32 inference(unit_resolution,[status(thm)],[15329, 8279, 15323, 11275, 11264, 15322])).
% 4.81/4.32 tff(15331,plain,((~trans(s199, s0)) | (~xuntil6(s199)) | until2p7(s0)), inference(lemma,lemma(discharge,[]))).
% 4.81/4.32 tff(15332,plain,
% 4.81/4.32 ($false),
% 4.81/4.32 inference(unit_resolution,[status(thm)],[15331, 15321, 11263, 8266])).
% 4.81/4.32 tff(15333,plain,(always3(s199)), inference(lemma,lemma(discharge,[]))).
% 4.81/4.32 tff(15334,assumption,(~always3(s5)), introduced(assumption)).
% 4.81/4.32 tff(15335,assumption,(always3(s199)), introduced(assumption)).
% 4.81/4.32 tff(15336,plain,
% 4.81/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s5) | (~trans(s199, s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s5) | (~trans(s199, s5)))),
% 4.81/4.32 inference(rewrite,[status(thm)],[])).
% 4.81/4.32 tff(15337,plain,
% 4.81/4.32 (((~trans(s199, s5)) | (~always3(s199)) | always3(s5)) <=> ((~always3(s199)) | always3(s5) | (~trans(s199, s5)))),
% 4.81/4.32 inference(rewrite,[status(thm)],[])).
% 4.81/4.32 tff(15338,plain,
% 4.81/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s5)) | (~always3(s199)) | always3(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s5) | (~trans(s199, s5))))),
% 4.81/4.32 inference(monotonicity,[status(thm)],[15337])).
% 4.81/4.32 tff(15339,plain,
% 4.81/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s5)) | (~always3(s199)) | always3(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s5) | (~trans(s199, s5)))),
% 4.81/4.32 inference(transitivity,[status(thm)],[15338, 15336])).
% 4.81/4.32 tff(15340,plain,
% 4.81/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s5)) | (~always3(s199)) | always3(s5))),
% 4.81/4.32 inference(quant_inst,[status(thm)],[])).
% 4.81/4.32 tff(15341,plain,
% 4.81/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s5) | (~trans(s199, s5))),
% 4.81/4.32 inference(modus_ponens,[status(thm)],[15340, 15339])).
% 4.81/4.32 tff(15342,plain,
% 4.81/4.32 ($false),
% 4.81/4.32 inference(unit_resolution,[status(thm)],[15341, 11276, 38, 15335, 15334])).
% 4.81/4.32 tff(15343,plain,((~trans(s199, s5)) | (~always3(s199)) | always3(s5)), inference(lemma,lemma(discharge,[]))).
% 4.81/4.32 tff(15344,plain,
% 4.81/4.32 ((~trans(s199, s5)) | always3(s5)),
% 4.81/4.32 inference(unit_resolution,[status(thm)],[15343, 15333])).
% 4.81/4.32 tff(15345,plain,
% 4.81/4.32 (~trans(s199, s5)),
% 4.81/4.32 inference(unit_resolution,[status(thm)],[15344, 3251])).
% 4.81/4.32 tff(15346,assumption,(~always3(s32)), introduced(assumption)).
% 4.81/4.32 tff(15347,plain,
% 4.81/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s32) | (~trans(s199, s32)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s32) | (~trans(s199, s32)))),
% 4.81/4.32 inference(rewrite,[status(thm)],[])).
% 4.81/4.32 tff(15348,plain,
% 4.81/4.32 (((~trans(s199, s32)) | (~always3(s199)) | always3(s32)) <=> ((~always3(s199)) | always3(s32) | (~trans(s199, s32)))),
% 4.81/4.32 inference(rewrite,[status(thm)],[])).
% 4.81/4.32 tff(15349,plain,
% 4.81/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s32)) | (~always3(s199)) | always3(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s32) | (~trans(s199, s32))))),
% 4.81/4.32 inference(monotonicity,[status(thm)],[15348])).
% 4.81/4.32 tff(15350,plain,
% 4.81/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s32)) | (~always3(s199)) | always3(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s32) | (~trans(s199, s32)))),
% 4.81/4.32 inference(transitivity,[status(thm)],[15349, 15347])).
% 4.81/4.32 tff(15351,plain,
% 4.81/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s32)) | (~always3(s199)) | always3(s32))),
% 4.81/4.32 inference(quant_inst,[status(thm)],[])).
% 4.81/4.32 tff(15352,plain,
% 4.81/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s32) | (~trans(s199, s32))),
% 4.81/4.32 inference(modus_ponens,[status(thm)],[15351, 15350])).
% 4.81/4.32 tff(15353,plain,
% 4.81/4.32 ($false),
% 4.81/4.32 inference(unit_resolution,[status(thm)],[15352, 11298, 38, 15335, 15346])).
% 4.81/4.32 tff(15354,plain,((~trans(s199, s32)) | (~always3(s199)) | always3(s32)), inference(lemma,lemma(discharge,[]))).
% 4.81/4.32 tff(15355,plain,
% 4.81/4.32 ((~trans(s199, s32)) | always3(s32)),
% 4.81/4.32 inference(unit_resolution,[status(thm)],[15354, 15333])).
% 4.81/4.32 tff(15356,plain,
% 4.81/4.32 (~trans(s199, s32)),
% 4.81/4.32 inference(unit_resolution,[status(thm)],[15355, 3224])).
% 4.81/4.32 tff(15357,plain,
% 4.81/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s8) | (~trans(s199, s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s8) | (~trans(s199, s8)))),
% 4.81/4.32 inference(rewrite,[status(thm)],[])).
% 4.81/4.32 tff(15358,plain,
% 4.81/4.32 (((~trans(s199, s8)) | (~always3(s199)) | always3(s8)) <=> ((~always3(s199)) | always3(s8) | (~trans(s199, s8)))),
% 4.81/4.32 inference(rewrite,[status(thm)],[])).
% 4.81/4.32 tff(15359,plain,
% 4.81/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s8)) | (~always3(s199)) | always3(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s8) | (~trans(s199, s8))))),
% 4.81/4.32 inference(monotonicity,[status(thm)],[15358])).
% 4.81/4.32 tff(15360,plain,
% 4.81/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s8)) | (~always3(s199)) | always3(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s8) | (~trans(s199, s8)))),
% 4.81/4.32 inference(transitivity,[status(thm)],[15359, 15357])).
% 4.81/4.32 tff(15361,plain,
% 4.81/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s8)) | (~always3(s199)) | always3(s8))),
% 4.81/4.32 inference(quant_inst,[status(thm)],[])).
% 4.81/4.32 tff(15362,plain,
% 4.81/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s8) | (~trans(s199, s8))),
% 4.81/4.32 inference(modus_ponens,[status(thm)],[15361, 15360])).
% 4.81/4.32 tff(15363,plain,
% 4.81/4.32 ($false),
% 4.81/4.32 inference(unit_resolution,[status(thm)],[15362, 11309, 38, 15335, 803])).
% 4.81/4.32 tff(15364,plain,((~trans(s199, s8)) | (~always3(s199)) | always3(s8)), inference(lemma,lemma(discharge,[]))).
% 4.81/4.32 tff(15365,plain,
% 4.81/4.32 ((~trans(s199, s8)) | always3(s8)),
% 4.81/4.32 inference(unit_resolution,[status(thm)],[15364, 15333])).
% 4.81/4.32 tff(15366,plain,
% 4.81/4.32 (~trans(s199, s8)),
% 4.81/4.32 inference(unit_resolution,[status(thm)],[15365, 3248])).
% 4.81/4.32 tff(15367,plain,
% 4.81/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s15) | (~trans(s199, s15)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s15) | (~trans(s199, s15)))),
% 4.81/4.32 inference(rewrite,[status(thm)],[])).
% 4.81/4.32 tff(15368,plain,
% 4.81/4.32 (((~trans(s199, s15)) | (~always3(s199)) | always3(s15)) <=> ((~always3(s199)) | always3(s15) | (~trans(s199, s15)))),
% 4.81/4.32 inference(rewrite,[status(thm)],[])).
% 4.81/4.32 tff(15369,plain,
% 4.81/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s15)) | (~always3(s199)) | always3(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s15) | (~trans(s199, s15))))),
% 4.81/4.32 inference(monotonicity,[status(thm)],[15368])).
% 4.81/4.32 tff(15370,plain,
% 4.81/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s15)) | (~always3(s199)) | always3(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s15) | (~trans(s199, s15)))),
% 4.81/4.32 inference(transitivity,[status(thm)],[15369, 15367])).
% 4.81/4.32 tff(15371,plain,
% 4.81/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s15)) | (~always3(s199)) | always3(s15))),
% 4.81/4.32 inference(quant_inst,[status(thm)],[])).
% 4.81/4.32 tff(15372,plain,
% 4.81/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s15) | (~trans(s199, s15))),
% 4.81/4.32 inference(modus_ponens,[status(thm)],[15371, 15370])).
% 4.81/4.32 tff(15373,plain,
% 4.81/4.32 ($false),
% 4.81/4.32 inference(unit_resolution,[status(thm)],[15372, 11331, 38, 15335, 195])).
% 4.81/4.32 tff(15374,plain,((~trans(s199, s15)) | (~always3(s199)) | always3(s15)), inference(lemma,lemma(discharge,[]))).
% 4.81/4.32 tff(15375,plain,
% 4.81/4.32 ((~trans(s199, s15)) | always3(s15)),
% 4.81/4.32 inference(unit_resolution,[status(thm)],[15374, 15333])).
% 4.81/4.32 tff(15376,plain,
% 4.81/4.32 (~trans(s199, s15)),
% 4.81/4.32 inference(unit_resolution,[status(thm)],[15375, 3241])).
% 4.81/4.32 tff(15377,assumption,(~always3(s16)), introduced(assumption)).
% 4.81/4.32 tff(15378,plain,
% 4.81/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s16) | (~trans(s199, s16)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s16) | (~trans(s199, s16)))),
% 4.81/4.32 inference(rewrite,[status(thm)],[])).
% 4.81/4.32 tff(15379,plain,
% 4.81/4.32 (((~trans(s199, s16)) | (~always3(s199)) | always3(s16)) <=> ((~always3(s199)) | always3(s16) | (~trans(s199, s16)))),
% 4.85/4.32 inference(rewrite,[status(thm)],[])).
% 4.85/4.32 tff(15380,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s16)) | (~always3(s199)) | always3(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s16) | (~trans(s199, s16))))),
% 4.85/4.32 inference(monotonicity,[status(thm)],[15379])).
% 4.85/4.32 tff(15381,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s16)) | (~always3(s199)) | always3(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s16) | (~trans(s199, s16)))),
% 4.85/4.32 inference(transitivity,[status(thm)],[15380, 15378])).
% 4.85/4.32 tff(15382,plain,
% 4.85/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s16)) | (~always3(s199)) | always3(s16))),
% 4.85/4.32 inference(quant_inst,[status(thm)],[])).
% 4.85/4.32 tff(15383,plain,
% 4.85/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s16) | (~trans(s199, s16))),
% 4.85/4.32 inference(modus_ponens,[status(thm)],[15382, 15381])).
% 4.85/4.32 tff(15384,plain,
% 4.85/4.32 ($false),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15383, 11342, 38, 15335, 15377])).
% 4.85/4.32 tff(15385,plain,((~trans(s199, s16)) | (~always3(s199)) | always3(s16)), inference(lemma,lemma(discharge,[]))).
% 4.85/4.32 tff(15386,plain,
% 4.85/4.32 ((~trans(s199, s16)) | always3(s16)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15385, 15333])).
% 4.85/4.32 tff(15387,plain,
% 4.85/4.32 (~trans(s199, s16)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15386, 3240])).
% 4.85/4.32 tff(15388,assumption,(~always3(s36)), introduced(assumption)).
% 4.85/4.32 tff(15389,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s36) | (~trans(s199, s36)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s36) | (~trans(s199, s36)))),
% 4.85/4.32 inference(rewrite,[status(thm)],[])).
% 4.85/4.32 tff(15390,plain,
% 4.85/4.32 (((~trans(s199, s36)) | (~always3(s199)) | always3(s36)) <=> ((~always3(s199)) | always3(s36) | (~trans(s199, s36)))),
% 4.85/4.32 inference(rewrite,[status(thm)],[])).
% 4.85/4.32 tff(15391,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s36)) | (~always3(s199)) | always3(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s36) | (~trans(s199, s36))))),
% 4.85/4.32 inference(monotonicity,[status(thm)],[15390])).
% 4.85/4.32 tff(15392,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s36)) | (~always3(s199)) | always3(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s36) | (~trans(s199, s36)))),
% 4.85/4.32 inference(transitivity,[status(thm)],[15391, 15389])).
% 4.85/4.32 tff(15393,plain,
% 4.85/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s36)) | (~always3(s199)) | always3(s36))),
% 4.85/4.32 inference(quant_inst,[status(thm)],[])).
% 4.85/4.32 tff(15394,plain,
% 4.85/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s36) | (~trans(s199, s36))),
% 4.85/4.32 inference(modus_ponens,[status(thm)],[15393, 15392])).
% 4.85/4.32 tff(15395,plain,
% 4.85/4.32 ($false),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15394, 13190, 38, 15335, 15388])).
% 4.85/4.32 tff(15396,plain,((~trans(s199, s36)) | (~always3(s199)) | always3(s36)), inference(lemma,lemma(discharge,[]))).
% 4.85/4.32 tff(15397,plain,
% 4.85/4.32 ((~trans(s199, s36)) | always3(s36)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15396, 15333])).
% 4.85/4.32 tff(15398,plain,
% 4.85/4.32 (~trans(s199, s36)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15397, 3220])).
% 4.85/4.32 tff(15399,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s38) | (~trans(s199, s38)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s38) | (~trans(s199, s38)))),
% 4.85/4.32 inference(rewrite,[status(thm)],[])).
% 4.85/4.32 tff(15400,plain,
% 4.85/4.32 (((~trans(s199, s38)) | (~always3(s199)) | always3(s38)) <=> ((~always3(s199)) | always3(s38) | (~trans(s199, s38)))),
% 4.85/4.32 inference(rewrite,[status(thm)],[])).
% 4.85/4.32 tff(15401,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s38)) | (~always3(s199)) | always3(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s38) | (~trans(s199, s38))))),
% 4.85/4.32 inference(monotonicity,[status(thm)],[15400])).
% 4.85/4.32 tff(15402,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s38)) | (~always3(s199)) | always3(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s38) | (~trans(s199, s38)))),
% 4.85/4.32 inference(transitivity,[status(thm)],[15401, 15399])).
% 4.85/4.32 tff(15403,plain,
% 4.85/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s38)) | (~always3(s199)) | always3(s38))),
% 4.85/4.32 inference(quant_inst,[status(thm)],[])).
% 4.85/4.32 tff(15404,plain,
% 4.85/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s38) | (~trans(s199, s38))),
% 4.85/4.32 inference(modus_ponens,[status(thm)],[15403, 15402])).
% 4.85/4.32 tff(15405,plain,
% 4.85/4.32 ($false),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15404, 11463, 38, 15335, 2364])).
% 4.85/4.32 tff(15406,plain,((~trans(s199, s38)) | (~always3(s199)) | always3(s38)), inference(lemma,lemma(discharge,[]))).
% 4.85/4.32 tff(15407,plain,
% 4.85/4.32 ((~trans(s199, s38)) | always3(s38)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15406, 15333])).
% 4.85/4.32 tff(15408,plain,
% 4.85/4.32 (~trans(s199, s38)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15407, 3218])).
% 4.85/4.32 tff(15409,assumption,(~always3(s7)), introduced(assumption)).
% 4.85/4.32 tff(15410,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s7) | (~trans(s199, s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s7) | (~trans(s199, s7)))),
% 4.85/4.32 inference(rewrite,[status(thm)],[])).
% 4.85/4.32 tff(15411,plain,
% 4.85/4.32 (((~trans(s199, s7)) | (~always3(s199)) | always3(s7)) <=> ((~always3(s199)) | always3(s7) | (~trans(s199, s7)))),
% 4.85/4.32 inference(rewrite,[status(thm)],[])).
% 4.85/4.32 tff(15412,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s7)) | (~always3(s199)) | always3(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s7) | (~trans(s199, s7))))),
% 4.85/4.32 inference(monotonicity,[status(thm)],[15411])).
% 4.85/4.32 tff(15413,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s7)) | (~always3(s199)) | always3(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s7) | (~trans(s199, s7)))),
% 4.85/4.32 inference(transitivity,[status(thm)],[15412, 15410])).
% 4.85/4.32 tff(15414,plain,
% 4.85/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s7)) | (~always3(s199)) | always3(s7))),
% 4.85/4.32 inference(quant_inst,[status(thm)],[])).
% 4.85/4.32 tff(15415,plain,
% 4.85/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s7) | (~trans(s199, s7))),
% 4.85/4.32 inference(modus_ponens,[status(thm)],[15414, 15413])).
% 4.85/4.32 tff(15416,plain,
% 4.85/4.32 ($false),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15415, 11551, 38, 15335, 15409])).
% 4.85/4.32 tff(15417,plain,((~trans(s199, s7)) | (~always3(s199)) | always3(s7)), inference(lemma,lemma(discharge,[]))).
% 4.85/4.32 tff(15418,plain,
% 4.85/4.32 ((~trans(s199, s7)) | always3(s7)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15417, 15333])).
% 4.85/4.32 tff(15419,plain,
% 4.85/4.32 (~trans(s199, s7)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15418, 3249])).
% 4.85/4.32 tff(15420,plain,
% 4.85/4.32 (~always3(s4)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[476, 3251])).
% 4.85/4.32 tff(15421,plain,
% 4.85/4.32 (~always3(s3)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[488, 15420])).
% 4.85/4.32 tff(15422,plain,
% 4.85/4.32 (~always3(s2)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[42, 15421])).
% 4.85/4.32 tff(15423,plain,
% 4.85/4.32 (~always3(s1)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[54, 15422])).
% 4.85/4.32 tff(15424,assumption,(~always3(s1)), introduced(assumption)).
% 4.85/4.32 tff(15425,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s1) | (~trans(s199, s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s1) | (~trans(s199, s1)))),
% 4.85/4.32 inference(rewrite,[status(thm)],[])).
% 4.85/4.32 tff(15426,plain,
% 4.85/4.32 (((~trans(s199, s1)) | (~always3(s199)) | always3(s1)) <=> ((~always3(s199)) | always3(s1) | (~trans(s199, s1)))),
% 4.85/4.32 inference(rewrite,[status(thm)],[])).
% 4.85/4.32 tff(15427,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s1)) | (~always3(s199)) | always3(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s1) | (~trans(s199, s1))))),
% 4.85/4.32 inference(monotonicity,[status(thm)],[15426])).
% 4.85/4.32 tff(15428,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s1)) | (~always3(s199)) | always3(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s1) | (~trans(s199, s1)))),
% 4.85/4.32 inference(transitivity,[status(thm)],[15427, 15425])).
% 4.85/4.32 tff(15429,plain,
% 4.85/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s1)) | (~always3(s199)) | always3(s1))),
% 4.85/4.32 inference(quant_inst,[status(thm)],[])).
% 4.85/4.32 tff(15430,plain,
% 4.85/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s1) | (~trans(s199, s1))),
% 4.85/4.32 inference(modus_ponens,[status(thm)],[15429, 15428])).
% 4.85/4.32 tff(15431,plain,
% 4.85/4.32 ($false),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15430, 8, 38, 15335, 15424])).
% 4.85/4.32 tff(15432,plain,((~trans(s199, s1)) | (~always3(s199)) | always3(s1)), inference(lemma,lemma(discharge,[]))).
% 4.85/4.32 tff(15433,plain,
% 4.85/4.32 ((~trans(s199, s1)) | always3(s1)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15432, 15333])).
% 4.85/4.32 tff(15434,plain,
% 4.85/4.32 (~trans(s199, s1)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15433, 15423])).
% 4.85/4.32 tff(15435,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s6) | (~trans(s199, s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s6) | (~trans(s199, s6)))),
% 4.85/4.32 inference(rewrite,[status(thm)],[])).
% 4.85/4.32 tff(15436,plain,
% 4.85/4.32 (((~trans(s199, s6)) | (~always3(s199)) | always3(s6)) <=> ((~always3(s199)) | always3(s6) | (~trans(s199, s6)))),
% 4.85/4.32 inference(rewrite,[status(thm)],[])).
% 4.85/4.32 tff(15437,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s6)) | (~always3(s199)) | always3(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s6) | (~trans(s199, s6))))),
% 4.85/4.32 inference(monotonicity,[status(thm)],[15436])).
% 4.85/4.32 tff(15438,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s6)) | (~always3(s199)) | always3(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s6) | (~trans(s199, s6)))),
% 4.85/4.32 inference(transitivity,[status(thm)],[15437, 15435])).
% 4.85/4.32 tff(15439,plain,
% 4.85/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s6)) | (~always3(s199)) | always3(s6))),
% 4.85/4.32 inference(quant_inst,[status(thm)],[])).
% 4.85/4.32 tff(15440,plain,
% 4.85/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s6) | (~trans(s199, s6))),
% 4.85/4.32 inference(modus_ponens,[status(thm)],[15439, 15438])).
% 4.85/4.32 tff(15441,plain,
% 4.85/4.32 ($false),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15440, 11573, 38, 15335, 885])).
% 4.85/4.32 tff(15442,plain,((~trans(s199, s6)) | (~always3(s199)) | always3(s6)), inference(lemma,lemma(discharge,[]))).
% 4.85/4.32 tff(15443,plain,
% 4.85/4.32 ((~trans(s199, s6)) | always3(s6)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15442, 15333])).
% 4.85/4.32 tff(15444,plain,
% 4.85/4.32 (~trans(s199, s6)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15443, 3250])).
% 4.85/4.32 tff(15445,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s37) | (~trans(s199, s37)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s37) | (~trans(s199, s37)))),
% 4.85/4.32 inference(rewrite,[status(thm)],[])).
% 4.85/4.32 tff(15446,plain,
% 4.85/4.32 (((~trans(s199, s37)) | (~always3(s199)) | always3(s37)) <=> ((~always3(s199)) | always3(s37) | (~trans(s199, s37)))),
% 4.85/4.32 inference(rewrite,[status(thm)],[])).
% 4.85/4.32 tff(15447,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s37)) | (~always3(s199)) | always3(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s37) | (~trans(s199, s37))))),
% 4.85/4.32 inference(monotonicity,[status(thm)],[15446])).
% 4.85/4.32 tff(15448,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s37)) | (~always3(s199)) | always3(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s37) | (~trans(s199, s37)))),
% 4.85/4.32 inference(transitivity,[status(thm)],[15447, 15445])).
% 4.85/4.32 tff(15449,plain,
% 4.85/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s37)) | (~always3(s199)) | always3(s37))),
% 4.85/4.32 inference(quant_inst,[status(thm)],[])).
% 4.85/4.32 tff(15450,plain,
% 4.85/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s37) | (~trans(s199, s37))),
% 4.85/4.32 inference(modus_ponens,[status(thm)],[15449, 15448])).
% 4.85/4.32 tff(15451,plain,
% 4.85/4.32 ($false),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15450, 11628, 38, 15335, 2467])).
% 4.85/4.32 tff(15452,plain,((~trans(s199, s37)) | (~always3(s199)) | always3(s37)), inference(lemma,lemma(discharge,[]))).
% 4.85/4.32 tff(15453,plain,
% 4.85/4.32 ((~trans(s199, s37)) | always3(s37)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15452, 15333])).
% 4.85/4.32 tff(15454,plain,
% 4.85/4.32 (~trans(s199, s37)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15453, 3219])).
% 4.85/4.32 tff(15455,assumption,(~always3(s30)), introduced(assumption)).
% 4.85/4.32 tff(15456,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s30) | (~trans(s199, s30)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s30) | (~trans(s199, s30)))),
% 4.85/4.32 inference(rewrite,[status(thm)],[])).
% 4.85/4.32 tff(15457,plain,
% 4.85/4.32 (((~trans(s199, s30)) | (~always3(s199)) | always3(s30)) <=> ((~always3(s199)) | always3(s30) | (~trans(s199, s30)))),
% 4.85/4.32 inference(rewrite,[status(thm)],[])).
% 4.85/4.32 tff(15458,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s30)) | (~always3(s199)) | always3(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s30) | (~trans(s199, s30))))),
% 4.85/4.32 inference(monotonicity,[status(thm)],[15457])).
% 4.85/4.32 tff(15459,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s30)) | (~always3(s199)) | always3(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s30) | (~trans(s199, s30)))),
% 4.85/4.32 inference(transitivity,[status(thm)],[15458, 15456])).
% 4.85/4.32 tff(15460,plain,
% 4.85/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s30)) | (~always3(s199)) | always3(s30))),
% 4.85/4.32 inference(quant_inst,[status(thm)],[])).
% 4.85/4.32 tff(15461,plain,
% 4.85/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s30) | (~trans(s199, s30))),
% 4.85/4.32 inference(modus_ponens,[status(thm)],[15460, 15459])).
% 4.85/4.32 tff(15462,plain,
% 4.85/4.32 ($false),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15461, 11672, 38, 15335, 15455])).
% 4.85/4.32 tff(15463,plain,((~trans(s199, s30)) | (~always3(s199)) | always3(s30)), inference(lemma,lemma(discharge,[]))).
% 4.85/4.32 tff(15464,plain,
% 4.85/4.32 ((~trans(s199, s30)) | always3(s30)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15463, 15333])).
% 4.85/4.32 tff(15465,plain,
% 4.85/4.32 (~trans(s199, s30)),
% 4.85/4.32 inference(unit_resolution,[status(thm)],[15464, 3226])).
% 4.85/4.32 tff(15466,assumption,(~always3(s21)), introduced(assumption)).
% 4.85/4.32 tff(15467,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s21) | (~trans(s199, s21)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s21) | (~trans(s199, s21)))),
% 4.85/4.32 inference(rewrite,[status(thm)],[])).
% 4.85/4.32 tff(15468,plain,
% 4.85/4.32 (((~trans(s199, s21)) | (~always3(s199)) | always3(s21)) <=> ((~always3(s199)) | always3(s21) | (~trans(s199, s21)))),
% 4.85/4.32 inference(rewrite,[status(thm)],[])).
% 4.85/4.32 tff(15469,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s21)) | (~always3(s199)) | always3(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s21) | (~trans(s199, s21))))),
% 4.85/4.32 inference(monotonicity,[status(thm)],[15468])).
% 4.85/4.32 tff(15470,plain,
% 4.85/4.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s21)) | (~always3(s199)) | always3(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s21) | (~trans(s199, s21)))),
% 4.85/4.33 inference(transitivity,[status(thm)],[15469, 15467])).
% 4.85/4.33 tff(15471,plain,
% 4.85/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s21)) | (~always3(s199)) | always3(s21))),
% 4.85/4.33 inference(quant_inst,[status(thm)],[])).
% 4.85/4.33 tff(15472,plain,
% 4.85/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s21) | (~trans(s199, s21))),
% 4.85/4.33 inference(modus_ponens,[status(thm)],[15471, 15470])).
% 4.85/4.33 tff(15473,plain,
% 4.85/4.33 ($false),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15472, 11837, 38, 15335, 15466])).
% 4.85/4.33 tff(15474,plain,((~trans(s199, s21)) | (~always3(s199)) | always3(s21)), inference(lemma,lemma(discharge,[]))).
% 4.85/4.33 tff(15475,plain,
% 4.85/4.33 ((~trans(s199, s21)) | always3(s21)),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15474, 15333])).
% 4.85/4.33 tff(15476,plain,
% 4.85/4.33 (~trans(s199, s21)),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15475, 3235])).
% 4.85/4.33 tff(15477,assumption,(~always3(s19)), introduced(assumption)).
% 4.85/4.33 tff(15478,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s19) | (~trans(s199, s19)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s19) | (~trans(s199, s19)))),
% 4.85/4.33 inference(rewrite,[status(thm)],[])).
% 4.85/4.33 tff(15479,plain,
% 4.85/4.33 (((~trans(s199, s19)) | (~always3(s199)) | always3(s19)) <=> ((~always3(s199)) | always3(s19) | (~trans(s199, s19)))),
% 4.85/4.33 inference(rewrite,[status(thm)],[])).
% 4.85/4.33 tff(15480,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s19)) | (~always3(s199)) | always3(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s19) | (~trans(s199, s19))))),
% 4.85/4.33 inference(monotonicity,[status(thm)],[15479])).
% 4.85/4.33 tff(15481,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s19)) | (~always3(s199)) | always3(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s19) | (~trans(s199, s19)))),
% 4.85/4.33 inference(transitivity,[status(thm)],[15480, 15478])).
% 4.85/4.33 tff(15482,plain,
% 4.85/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s19)) | (~always3(s199)) | always3(s19))),
% 4.85/4.33 inference(quant_inst,[status(thm)],[])).
% 4.85/4.33 tff(15483,plain,
% 4.85/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s19) | (~trans(s199, s19))),
% 4.85/4.33 inference(modus_ponens,[status(thm)],[15482, 15481])).
% 4.85/4.33 tff(15484,plain,
% 4.85/4.33 ($false),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15483, 11925, 38, 15335, 15477])).
% 4.85/4.33 tff(15485,plain,((~trans(s199, s19)) | (~always3(s199)) | always3(s19)), inference(lemma,lemma(discharge,[]))).
% 4.85/4.33 tff(15486,plain,
% 4.85/4.33 ((~trans(s199, s19)) | always3(s19)),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15485, 15333])).
% 4.85/4.33 tff(15487,plain,
% 4.85/4.33 (~trans(s199, s19)),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15486, 3237])).
% 4.85/4.33 tff(15488,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s35) | (~trans(s199, s35)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s35) | (~trans(s199, s35)))),
% 4.85/4.33 inference(rewrite,[status(thm)],[])).
% 4.85/4.33 tff(15489,plain,
% 4.85/4.33 (((~trans(s199, s35)) | (~always3(s199)) | always3(s35)) <=> ((~always3(s199)) | always3(s35) | (~trans(s199, s35)))),
% 4.85/4.33 inference(rewrite,[status(thm)],[])).
% 4.85/4.33 tff(15490,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s35)) | (~always3(s199)) | always3(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s35) | (~trans(s199, s35))))),
% 4.85/4.33 inference(monotonicity,[status(thm)],[15489])).
% 4.85/4.33 tff(15491,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s35)) | (~always3(s199)) | always3(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s35) | (~trans(s199, s35)))),
% 4.85/4.33 inference(transitivity,[status(thm)],[15490, 15488])).
% 4.85/4.33 tff(15492,plain,
% 4.85/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s35)) | (~always3(s199)) | always3(s35))),
% 4.85/4.33 inference(quant_inst,[status(thm)],[])).
% 4.85/4.33 tff(15493,plain,
% 4.85/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s35) | (~trans(s199, s35))),
% 4.85/4.33 inference(modus_ponens,[status(thm)],[15492, 15491])).
% 4.85/4.33 tff(15494,plain,
% 4.85/4.33 ($false),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15493, 11870, 38, 15335, 2943])).
% 4.85/4.33 tff(15495,plain,((~trans(s199, s35)) | (~always3(s199)) | always3(s35)), inference(lemma,lemma(discharge,[]))).
% 4.85/4.33 tff(15496,plain,
% 4.85/4.33 ((~trans(s199, s35)) | always3(s35)),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15495, 15333])).
% 4.85/4.33 tff(15497,plain,
% 4.85/4.33 (~trans(s199, s35)),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15496, 3221])).
% 4.85/4.33 tff(15498,assumption,(~always3(s34)), introduced(assumption)).
% 4.85/4.33 tff(15499,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s34) | (~trans(s199, s34)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s34) | (~trans(s199, s34)))),
% 4.85/4.33 inference(rewrite,[status(thm)],[])).
% 4.85/4.33 tff(15500,plain,
% 4.85/4.33 (((~trans(s199, s34)) | (~always3(s199)) | always3(s34)) <=> ((~always3(s199)) | always3(s34) | (~trans(s199, s34)))),
% 4.85/4.33 inference(rewrite,[status(thm)],[])).
% 4.85/4.33 tff(15501,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s34)) | (~always3(s199)) | always3(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s34) | (~trans(s199, s34))))),
% 4.85/4.33 inference(monotonicity,[status(thm)],[15500])).
% 4.85/4.33 tff(15502,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s34)) | (~always3(s199)) | always3(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s34) | (~trans(s199, s34)))),
% 4.85/4.33 inference(transitivity,[status(thm)],[15501, 15499])).
% 4.85/4.33 tff(15503,plain,
% 4.85/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s34)) | (~always3(s199)) | always3(s34))),
% 4.85/4.33 inference(quant_inst,[status(thm)],[])).
% 4.85/4.33 tff(15504,plain,
% 4.85/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s34) | (~trans(s199, s34))),
% 4.85/4.33 inference(modus_ponens,[status(thm)],[15503, 15502])).
% 4.85/4.33 tff(15505,plain,
% 4.85/4.33 ($false),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15504, 11980, 38, 15335, 15498])).
% 4.85/4.33 tff(15506,plain,((~trans(s199, s34)) | (~always3(s199)) | always3(s34)), inference(lemma,lemma(discharge,[]))).
% 4.85/4.33 tff(15507,plain,
% 4.85/4.33 ((~trans(s199, s34)) | always3(s34)),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15506, 15333])).
% 4.85/4.33 tff(15508,plain,
% 4.85/4.33 (~trans(s199, s34)),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15507, 3222])).
% 4.85/4.33 tff(15509,assumption,(~always3(s26)), introduced(assumption)).
% 4.85/4.33 tff(15510,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s26) | (~trans(s199, s26)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s26) | (~trans(s199, s26)))),
% 4.85/4.33 inference(rewrite,[status(thm)],[])).
% 4.85/4.33 tff(15511,plain,
% 4.85/4.33 (((~trans(s199, s26)) | (~always3(s199)) | always3(s26)) <=> ((~always3(s199)) | always3(s26) | (~trans(s199, s26)))),
% 4.85/4.33 inference(rewrite,[status(thm)],[])).
% 4.85/4.33 tff(15512,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s26)) | (~always3(s199)) | always3(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s26) | (~trans(s199, s26))))),
% 4.85/4.33 inference(monotonicity,[status(thm)],[15511])).
% 4.85/4.33 tff(15513,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s26)) | (~always3(s199)) | always3(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s26) | (~trans(s199, s26)))),
% 4.85/4.33 inference(transitivity,[status(thm)],[15512, 15510])).
% 4.85/4.33 tff(15514,plain,
% 4.85/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s26)) | (~always3(s199)) | always3(s26))),
% 4.85/4.33 inference(quant_inst,[status(thm)],[])).
% 4.85/4.33 tff(15515,plain,
% 4.85/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s26) | (~trans(s199, s26))),
% 4.85/4.33 inference(modus_ponens,[status(thm)],[15514, 15513])).
% 4.85/4.33 tff(15516,plain,
% 4.85/4.33 ($false),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15515, 11991, 38, 15335, 15509])).
% 4.85/4.33 tff(15517,plain,((~trans(s199, s26)) | (~always3(s199)) | always3(s26)), inference(lemma,lemma(discharge,[]))).
% 4.85/4.33 tff(15518,plain,
% 4.85/4.33 ((~trans(s199, s26)) | always3(s26)),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15517, 15333])).
% 4.85/4.33 tff(15519,plain,
% 4.85/4.33 (~trans(s199, s26)),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15518, 3230])).
% 4.85/4.33 tff(15520,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s22) | (~trans(s199, s22)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s22) | (~trans(s199, s22)))),
% 4.85/4.33 inference(rewrite,[status(thm)],[])).
% 4.85/4.33 tff(15521,plain,
% 4.85/4.33 (((~trans(s199, s22)) | (~always3(s199)) | always3(s22)) <=> ((~always3(s199)) | always3(s22) | (~trans(s199, s22)))),
% 4.85/4.33 inference(rewrite,[status(thm)],[])).
% 4.85/4.33 tff(15522,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s22)) | (~always3(s199)) | always3(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s22) | (~trans(s199, s22))))),
% 4.85/4.33 inference(monotonicity,[status(thm)],[15521])).
% 4.85/4.33 tff(15523,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s22)) | (~always3(s199)) | always3(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s22) | (~trans(s199, s22)))),
% 4.85/4.33 inference(transitivity,[status(thm)],[15522, 15520])).
% 4.85/4.33 tff(15524,plain,
% 4.85/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s22)) | (~always3(s199)) | always3(s22))),
% 4.85/4.33 inference(quant_inst,[status(thm)],[])).
% 4.85/4.33 tff(15525,plain,
% 4.85/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s22) | (~trans(s199, s22))),
% 4.85/4.33 inference(modus_ponens,[status(thm)],[15524, 15523])).
% 4.85/4.33 tff(15526,plain,
% 4.85/4.33 ($false),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15525, 12046, 38, 15335, 1295])).
% 4.85/4.33 tff(15527,plain,((~trans(s199, s22)) | (~always3(s199)) | always3(s22)), inference(lemma,lemma(discharge,[]))).
% 4.85/4.33 tff(15528,plain,
% 4.85/4.33 ((~trans(s199, s22)) | always3(s22)),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15527, 15333])).
% 4.85/4.33 tff(15529,plain,
% 4.85/4.33 (~trans(s199, s22)),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15528, 3234])).
% 4.85/4.33 tff(15530,assumption,(~always3(s42)), introduced(assumption)).
% 4.85/4.33 tff(15531,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s42) | (~trans(s199, s42)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s42) | (~trans(s199, s42)))),
% 4.85/4.33 inference(rewrite,[status(thm)],[])).
% 4.85/4.33 tff(15532,plain,
% 4.85/4.33 (((~trans(s199, s42)) | (~always3(s199)) | always3(s42)) <=> ((~always3(s199)) | always3(s42) | (~trans(s199, s42)))),
% 4.85/4.33 inference(rewrite,[status(thm)],[])).
% 4.85/4.33 tff(15533,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s42)) | (~always3(s199)) | always3(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s42) | (~trans(s199, s42))))),
% 4.85/4.33 inference(monotonicity,[status(thm)],[15532])).
% 4.85/4.33 tff(15534,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s42)) | (~always3(s199)) | always3(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s42) | (~trans(s199, s42)))),
% 4.85/4.33 inference(transitivity,[status(thm)],[15533, 15531])).
% 4.85/4.33 tff(15535,plain,
% 4.85/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s42)) | (~always3(s199)) | always3(s42))),
% 4.85/4.33 inference(quant_inst,[status(thm)],[])).
% 4.85/4.33 tff(15536,plain,
% 4.85/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s42) | (~trans(s199, s42))),
% 4.85/4.33 inference(modus_ponens,[status(thm)],[15535, 15534])).
% 4.85/4.33 tff(15537,plain,
% 4.85/4.33 ($false),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15536, 12101, 38, 15335, 15530])).
% 4.85/4.33 tff(15538,plain,((~trans(s199, s42)) | (~always3(s199)) | always3(s42)), inference(lemma,lemma(discharge,[]))).
% 4.85/4.33 tff(15539,plain,
% 4.85/4.33 ((~trans(s199, s42)) | always3(s42)),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15538, 15333])).
% 4.85/4.33 tff(15540,plain,
% 4.85/4.33 (~trans(s199, s42)),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15539, 94])).
% 4.85/4.33 tff(15541,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s27) | (~trans(s199, s27)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s27) | (~trans(s199, s27)))),
% 4.85/4.33 inference(rewrite,[status(thm)],[])).
% 4.85/4.33 tff(15542,plain,
% 4.85/4.33 (((~trans(s199, s27)) | (~always3(s199)) | always3(s27)) <=> ((~always3(s199)) | always3(s27) | (~trans(s199, s27)))),
% 4.85/4.33 inference(rewrite,[status(thm)],[])).
% 4.85/4.33 tff(15543,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s27)) | (~always3(s199)) | always3(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s27) | (~trans(s199, s27))))),
% 4.85/4.33 inference(monotonicity,[status(thm)],[15542])).
% 4.85/4.33 tff(15544,plain,
% 4.85/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s27)) | (~always3(s199)) | always3(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s27) | (~trans(s199, s27)))),
% 4.85/4.33 inference(transitivity,[status(thm)],[15543, 15541])).
% 4.85/4.33 tff(15545,plain,
% 4.85/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s27)) | (~always3(s199)) | always3(s27))),
% 4.85/4.33 inference(quant_inst,[status(thm)],[])).
% 4.85/4.33 tff(15546,plain,
% 4.85/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s27) | (~trans(s199, s27))),
% 4.85/4.33 inference(modus_ponens,[status(thm)],[15545, 15544])).
% 4.85/4.33 tff(15547,plain,
% 4.85/4.33 ($false),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15546, 12123, 38, 15335, 1982])).
% 4.85/4.33 tff(15548,plain,((~trans(s199, s27)) | (~always3(s199)) | always3(s27)), inference(lemma,lemma(discharge,[]))).
% 4.85/4.33 tff(15549,plain,
% 4.85/4.33 ((~trans(s199, s27)) | always3(s27)),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15548, 15333])).
% 4.85/4.33 tff(15550,plain,
% 4.85/4.33 (~trans(s199, s27)),
% 4.85/4.33 inference(unit_resolution,[status(thm)],[15549, 3229])).
% 4.86/4.33 tff(15551,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s31) | (~trans(s199, s31)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s31) | (~trans(s199, s31)))),
% 4.86/4.33 inference(rewrite,[status(thm)],[])).
% 4.86/4.33 tff(15552,plain,
% 4.86/4.33 (((~trans(s199, s31)) | (~always3(s199)) | always3(s31)) <=> ((~always3(s199)) | always3(s31) | (~trans(s199, s31)))),
% 4.86/4.33 inference(rewrite,[status(thm)],[])).
% 4.86/4.33 tff(15553,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s31)) | (~always3(s199)) | always3(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s31) | (~trans(s199, s31))))),
% 4.86/4.33 inference(monotonicity,[status(thm)],[15552])).
% 4.86/4.33 tff(15554,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s31)) | (~always3(s199)) | always3(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s31) | (~trans(s199, s31)))),
% 4.86/4.33 inference(transitivity,[status(thm)],[15553, 15551])).
% 4.86/4.33 tff(15555,plain,
% 4.86/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s31)) | (~always3(s199)) | always3(s31))),
% 4.86/4.33 inference(quant_inst,[status(thm)],[])).
% 4.86/4.33 tff(15556,plain,
% 4.86/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s31) | (~trans(s199, s31))),
% 4.86/4.33 inference(modus_ponens,[status(thm)],[15555, 15554])).
% 4.86/4.33 tff(15557,plain,
% 4.86/4.33 ($false),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15556, 12189, 38, 15335, 2728])).
% 4.86/4.33 tff(15558,plain,((~trans(s199, s31)) | (~always3(s199)) | always3(s31)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.33 tff(15559,plain,
% 4.86/4.33 ((~trans(s199, s31)) | always3(s31)),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15558, 15333])).
% 4.86/4.33 tff(15560,plain,
% 4.86/4.33 (~trans(s199, s31)),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15559, 3225])).
% 4.86/4.33 tff(15561,assumption,(~always3(s11)), introduced(assumption)).
% 4.86/4.33 tff(15562,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s11) | (~trans(s199, s11)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s11) | (~trans(s199, s11)))),
% 4.86/4.33 inference(rewrite,[status(thm)],[])).
% 4.86/4.33 tff(15563,plain,
% 4.86/4.33 (((~trans(s199, s11)) | (~always3(s199)) | always3(s11)) <=> ((~always3(s199)) | always3(s11) | (~trans(s199, s11)))),
% 4.86/4.33 inference(rewrite,[status(thm)],[])).
% 4.86/4.33 tff(15564,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s11)) | (~always3(s199)) | always3(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s11) | (~trans(s199, s11))))),
% 4.86/4.33 inference(monotonicity,[status(thm)],[15563])).
% 4.86/4.33 tff(15565,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s11)) | (~always3(s199)) | always3(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s11) | (~trans(s199, s11)))),
% 4.86/4.33 inference(transitivity,[status(thm)],[15564, 15562])).
% 4.86/4.33 tff(15566,plain,
% 4.86/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s11)) | (~always3(s199)) | always3(s11))),
% 4.86/4.33 inference(quant_inst,[status(thm)],[])).
% 4.86/4.33 tff(15567,plain,
% 4.86/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s11) | (~trans(s199, s11))),
% 4.86/4.33 inference(modus_ponens,[status(thm)],[15566, 15565])).
% 4.86/4.33 tff(15568,plain,
% 4.86/4.33 ($false),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15567, 12255, 38, 15335, 15561])).
% 4.86/4.33 tff(15569,plain,((~trans(s199, s11)) | (~always3(s199)) | always3(s11)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.33 tff(15570,plain,
% 4.86/4.33 ((~trans(s199, s11)) | always3(s11)),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15569, 15333])).
% 4.86/4.33 tff(15571,plain,
% 4.86/4.33 (~trans(s199, s11)),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15570, 3245])).
% 4.86/4.33 tff(15572,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s4) | (~trans(s199, s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s4) | (~trans(s199, s4)))),
% 4.86/4.33 inference(rewrite,[status(thm)],[])).
% 4.86/4.33 tff(15573,plain,
% 4.86/4.33 (((~trans(s199, s4)) | (~always3(s199)) | always3(s4)) <=> ((~always3(s199)) | always3(s4) | (~trans(s199, s4)))),
% 4.86/4.33 inference(rewrite,[status(thm)],[])).
% 4.86/4.33 tff(15574,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s4)) | (~always3(s199)) | always3(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s4) | (~trans(s199, s4))))),
% 4.86/4.33 inference(monotonicity,[status(thm)],[15573])).
% 4.86/4.33 tff(15575,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s4)) | (~always3(s199)) | always3(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s4) | (~trans(s199, s4)))),
% 4.86/4.33 inference(transitivity,[status(thm)],[15574, 15572])).
% 4.86/4.33 tff(15576,plain,
% 4.86/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s4)) | (~always3(s199)) | always3(s4))),
% 4.86/4.33 inference(quant_inst,[status(thm)],[])).
% 4.86/4.33 tff(15577,plain,
% 4.86/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s4) | (~trans(s199, s4))),
% 4.86/4.33 inference(modus_ponens,[status(thm)],[15576, 15575])).
% 4.86/4.33 tff(15578,plain,
% 4.86/4.33 ($false),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15577, 12321, 38, 15335, 1015])).
% 4.86/4.33 tff(15579,plain,((~trans(s199, s4)) | (~always3(s199)) | always3(s4)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.33 tff(15580,plain,
% 4.86/4.33 ((~trans(s199, s4)) | always3(s4)),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15579, 15333])).
% 4.86/4.33 tff(15581,plain,
% 4.86/4.33 (~trans(s199, s4)),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15580, 15420])).
% 4.86/4.33 tff(15582,assumption,(~always3(s43)), introduced(assumption)).
% 4.86/4.33 tff(15583,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s43) | (~trans(s199, s43)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s43) | (~trans(s199, s43)))),
% 4.86/4.33 inference(rewrite,[status(thm)],[])).
% 4.86/4.33 tff(15584,plain,
% 4.86/4.33 (((~trans(s199, s43)) | (~always3(s199)) | always3(s43)) <=> ((~always3(s199)) | always3(s43) | (~trans(s199, s43)))),
% 4.86/4.33 inference(rewrite,[status(thm)],[])).
% 4.86/4.33 tff(15585,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s43)) | (~always3(s199)) | always3(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s43) | (~trans(s199, s43))))),
% 4.86/4.33 inference(monotonicity,[status(thm)],[15584])).
% 4.86/4.33 tff(15586,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s43)) | (~always3(s199)) | always3(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s43) | (~trans(s199, s43)))),
% 4.86/4.33 inference(transitivity,[status(thm)],[15585, 15583])).
% 4.86/4.33 tff(15587,plain,
% 4.86/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s43)) | (~always3(s199)) | always3(s43))),
% 4.86/4.33 inference(quant_inst,[status(thm)],[])).
% 4.86/4.33 tff(15588,plain,
% 4.86/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s43) | (~trans(s199, s43))),
% 4.86/4.33 inference(modus_ponens,[status(thm)],[15587, 15586])).
% 4.86/4.33 tff(15589,plain,
% 4.86/4.33 ($false),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15588, 12343, 38, 15335, 15582])).
% 4.86/4.33 tff(15590,plain,((~trans(s199, s43)) | (~always3(s199)) | always3(s43)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.33 tff(15591,plain,
% 4.86/4.33 ((~trans(s199, s43)) | always3(s43)),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15590, 15333])).
% 4.86/4.33 tff(15592,plain,
% 4.86/4.33 (~trans(s199, s43)),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15591, 82])).
% 4.86/4.33 tff(15593,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s12) | (~trans(s199, s12)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s12) | (~trans(s199, s12)))),
% 4.86/4.33 inference(rewrite,[status(thm)],[])).
% 4.86/4.33 tff(15594,plain,
% 4.86/4.33 (((~trans(s199, s12)) | (~always3(s199)) | always3(s12)) <=> ((~always3(s199)) | always3(s12) | (~trans(s199, s12)))),
% 4.86/4.33 inference(rewrite,[status(thm)],[])).
% 4.86/4.33 tff(15595,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s12)) | (~always3(s199)) | always3(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s12) | (~trans(s199, s12))))),
% 4.86/4.33 inference(monotonicity,[status(thm)],[15594])).
% 4.86/4.33 tff(15596,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s12)) | (~always3(s199)) | always3(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s12) | (~trans(s199, s12)))),
% 4.86/4.33 inference(transitivity,[status(thm)],[15595, 15593])).
% 4.86/4.33 tff(15597,plain,
% 4.86/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s12)) | (~always3(s199)) | always3(s12))),
% 4.86/4.33 inference(quant_inst,[status(thm)],[])).
% 4.86/4.33 tff(15598,plain,
% 4.86/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s12) | (~trans(s199, s12))),
% 4.86/4.33 inference(modus_ponens,[status(thm)],[15597, 15596])).
% 4.86/4.33 tff(15599,plain,
% 4.86/4.33 ($false),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15598, 12387, 38, 15335, 1116])).
% 4.86/4.33 tff(15600,plain,((~trans(s199, s12)) | (~always3(s199)) | always3(s12)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.33 tff(15601,plain,
% 4.86/4.33 ((~trans(s199, s12)) | always3(s12)),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15600, 15333])).
% 4.86/4.33 tff(15602,plain,
% 4.86/4.33 (~trans(s199, s12)),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15601, 3244])).
% 4.86/4.33 tff(15603,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s3) | (~trans(s199, s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s3) | (~trans(s199, s3)))),
% 4.86/4.33 inference(rewrite,[status(thm)],[])).
% 4.86/4.33 tff(15604,plain,
% 4.86/4.33 (((~trans(s199, s3)) | (~always3(s199)) | always3(s3)) <=> ((~always3(s199)) | always3(s3) | (~trans(s199, s3)))),
% 4.86/4.33 inference(rewrite,[status(thm)],[])).
% 4.86/4.33 tff(15605,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s3)) | (~always3(s199)) | always3(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s3) | (~trans(s199, s3))))),
% 4.86/4.33 inference(monotonicity,[status(thm)],[15604])).
% 4.86/4.33 tff(15606,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s3)) | (~always3(s199)) | always3(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s3) | (~trans(s199, s3)))),
% 4.86/4.33 inference(transitivity,[status(thm)],[15605, 15603])).
% 4.86/4.33 tff(15607,plain,
% 4.86/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s3)) | (~always3(s199)) | always3(s3))),
% 4.86/4.33 inference(quant_inst,[status(thm)],[])).
% 4.86/4.33 tff(15608,plain,
% 4.86/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s3) | (~trans(s199, s3))),
% 4.86/4.33 inference(modus_ponens,[status(thm)],[15607, 15606])).
% 4.86/4.33 tff(15609,plain,
% 4.86/4.33 ($false),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15608, 12453, 38, 15335, 14])).
% 4.86/4.33 tff(15610,plain,((~trans(s199, s3)) | (~always3(s199)) | always3(s3)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.33 tff(15611,plain,
% 4.86/4.33 ((~trans(s199, s3)) | always3(s3)),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15610, 15333])).
% 4.86/4.33 tff(15612,plain,
% 4.86/4.33 (~trans(s199, s3)),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15611, 15421])).
% 4.86/4.33 tff(15613,assumption,(~always3(s29)), introduced(assumption)).
% 4.86/4.33 tff(15614,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s29) | (~trans(s199, s29)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s29) | (~trans(s199, s29)))),
% 4.86/4.33 inference(rewrite,[status(thm)],[])).
% 4.86/4.33 tff(15615,plain,
% 4.86/4.33 (((~trans(s199, s29)) | (~always3(s199)) | always3(s29)) <=> ((~always3(s199)) | always3(s29) | (~trans(s199, s29)))),
% 4.86/4.33 inference(rewrite,[status(thm)],[])).
% 4.86/4.33 tff(15616,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s29)) | (~always3(s199)) | always3(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s29) | (~trans(s199, s29))))),
% 4.86/4.33 inference(monotonicity,[status(thm)],[15615])).
% 4.86/4.33 tff(15617,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s29)) | (~always3(s199)) | always3(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s29) | (~trans(s199, s29)))),
% 4.86/4.33 inference(transitivity,[status(thm)],[15616, 15614])).
% 4.86/4.33 tff(15618,plain,
% 4.86/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s29)) | (~always3(s199)) | always3(s29))),
% 4.86/4.33 inference(quant_inst,[status(thm)],[])).
% 4.86/4.33 tff(15619,plain,
% 4.86/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s29) | (~trans(s199, s29))),
% 4.86/4.33 inference(modus_ponens,[status(thm)],[15618, 15617])).
% 4.86/4.33 tff(15620,plain,
% 4.86/4.33 ($false),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15619, 12508, 38, 15335, 15613])).
% 4.86/4.33 tff(15621,plain,((~trans(s199, s29)) | (~always3(s199)) | always3(s29)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.33 tff(15622,plain,
% 4.86/4.33 ((~trans(s199, s29)) | always3(s29)),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15621, 15333])).
% 4.86/4.33 tff(15623,plain,
% 4.86/4.33 (~trans(s199, s29)),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15622, 3227])).
% 4.86/4.33 tff(15624,assumption,(~always3(s23)), introduced(assumption)).
% 4.86/4.33 tff(15625,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s23) | (~trans(s199, s23)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s23) | (~trans(s199, s23)))),
% 4.86/4.33 inference(rewrite,[status(thm)],[])).
% 4.86/4.33 tff(15626,plain,
% 4.86/4.33 (((~trans(s199, s23)) | (~always3(s199)) | always3(s23)) <=> ((~always3(s199)) | always3(s23) | (~trans(s199, s23)))),
% 4.86/4.33 inference(rewrite,[status(thm)],[])).
% 4.86/4.33 tff(15627,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s23)) | (~always3(s199)) | always3(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s23) | (~trans(s199, s23))))),
% 4.86/4.33 inference(monotonicity,[status(thm)],[15626])).
% 4.86/4.33 tff(15628,plain,
% 4.86/4.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s23)) | (~always3(s199)) | always3(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s23) | (~trans(s199, s23)))),
% 4.86/4.33 inference(transitivity,[status(thm)],[15627, 15625])).
% 4.86/4.33 tff(15629,plain,
% 4.86/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s23)) | (~always3(s199)) | always3(s23))),
% 4.86/4.33 inference(quant_inst,[status(thm)],[])).
% 4.86/4.33 tff(15630,plain,
% 4.86/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s23) | (~trans(s199, s23))),
% 4.86/4.33 inference(modus_ponens,[status(thm)],[15629, 15628])).
% 4.86/4.33 tff(15631,plain,
% 4.86/4.33 ($false),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15630, 12541, 38, 15335, 15624])).
% 4.86/4.33 tff(15632,plain,((~trans(s199, s23)) | (~always3(s199)) | always3(s23)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.33 tff(15633,plain,
% 4.86/4.33 ((~trans(s199, s23)) | always3(s23)),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15632, 15333])).
% 4.86/4.33 tff(15634,plain,
% 4.86/4.33 (~trans(s199, s23)),
% 4.86/4.33 inference(unit_resolution,[status(thm)],[15633, 3233])).
% 4.86/4.34 tff(15635,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s2) | (~trans(s199, s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s2) | (~trans(s199, s2)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15636,plain,
% 4.86/4.34 (((~trans(s199, s2)) | (~always3(s199)) | always3(s2)) <=> ((~always3(s199)) | always3(s2) | (~trans(s199, s2)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15637,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s2)) | (~always3(s199)) | always3(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s2) | (~trans(s199, s2))))),
% 4.86/4.34 inference(monotonicity,[status(thm)],[15636])).
% 4.86/4.34 tff(15638,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s2)) | (~always3(s199)) | always3(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s2) | (~trans(s199, s2)))),
% 4.86/4.34 inference(transitivity,[status(thm)],[15637, 15635])).
% 4.86/4.34 tff(15639,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s2)) | (~always3(s199)) | always3(s2))),
% 4.86/4.34 inference(quant_inst,[status(thm)],[])).
% 4.86/4.34 tff(15640,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s2) | (~trans(s199, s2))),
% 4.86/4.34 inference(modus_ponens,[status(thm)],[15639, 15638])).
% 4.86/4.34 tff(15641,plain,
% 4.86/4.34 ($false),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15640, 11562, 38, 15335, 898])).
% 4.86/4.34 tff(15642,plain,((~trans(s199, s2)) | (~always3(s199)) | always3(s2)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.34 tff(15643,plain,
% 4.86/4.34 ((~trans(s199, s2)) | always3(s2)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15642, 15333])).
% 4.86/4.34 tff(15644,plain,
% 4.86/4.34 (~trans(s199, s2)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15643, 15422])).
% 4.86/4.34 tff(15645,assumption,(~always3(s33)), introduced(assumption)).
% 4.86/4.34 tff(15646,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s33) | (~trans(s199, s33)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s33) | (~trans(s199, s33)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15647,plain,
% 4.86/4.34 (((~trans(s199, s33)) | (~always3(s199)) | always3(s33)) <=> ((~always3(s199)) | always3(s33) | (~trans(s199, s33)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15648,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s33)) | (~always3(s199)) | always3(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s33) | (~trans(s199, s33))))),
% 4.86/4.34 inference(monotonicity,[status(thm)],[15647])).
% 4.86/4.34 tff(15649,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s33)) | (~always3(s199)) | always3(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s33) | (~trans(s199, s33)))),
% 4.86/4.34 inference(transitivity,[status(thm)],[15648, 15646])).
% 4.86/4.34 tff(15650,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s33)) | (~always3(s199)) | always3(s33))),
% 4.86/4.34 inference(quant_inst,[status(thm)],[])).
% 4.86/4.34 tff(15651,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s33) | (~trans(s199, s33))),
% 4.86/4.34 inference(modus_ponens,[status(thm)],[15650, 15649])).
% 4.86/4.34 tff(15652,plain,
% 4.86/4.34 ($false),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15651, 12695, 38, 15335, 15645])).
% 4.86/4.34 tff(15653,plain,((~trans(s199, s33)) | (~always3(s199)) | always3(s33)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.34 tff(15654,plain,
% 4.86/4.34 ((~trans(s199, s33)) | always3(s33)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15653, 15333])).
% 4.86/4.34 tff(15655,plain,
% 4.86/4.34 (~trans(s199, s33)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15654, 3223])).
% 4.86/4.34 tff(15656,assumption,(~always3(s40)), introduced(assumption)).
% 4.86/4.34 tff(15657,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s40) | (~trans(s199, s40)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s40) | (~trans(s199, s40)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15658,plain,
% 4.86/4.34 (((~trans(s199, s40)) | (~always3(s199)) | always3(s40)) <=> ((~always3(s199)) | always3(s40) | (~trans(s199, s40)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15659,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s40)) | (~always3(s199)) | always3(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s40) | (~trans(s199, s40))))),
% 4.86/4.34 inference(monotonicity,[status(thm)],[15658])).
% 4.86/4.34 tff(15660,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s40)) | (~always3(s199)) | always3(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s40) | (~trans(s199, s40)))),
% 4.86/4.34 inference(transitivity,[status(thm)],[15659, 15657])).
% 4.86/4.34 tff(15661,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s40)) | (~always3(s199)) | always3(s40))),
% 4.86/4.34 inference(quant_inst,[status(thm)],[])).
% 4.86/4.34 tff(15662,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s40) | (~trans(s199, s40))),
% 4.86/4.34 inference(modus_ponens,[status(thm)],[15661, 15660])).
% 4.86/4.34 tff(15663,plain,
% 4.86/4.34 ($false),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15662, 12706, 38, 15335, 15656])).
% 4.86/4.34 tff(15664,plain,((~trans(s199, s40)) | (~always3(s199)) | always3(s40)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.34 tff(15665,plain,
% 4.86/4.34 ((~trans(s199, s40)) | always3(s40)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15664, 15333])).
% 4.86/4.34 tff(15666,plain,
% 4.86/4.34 (~trans(s199, s40)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15665, 3216])).
% 4.86/4.34 tff(15667,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s44) | (~trans(s199, s44)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s44) | (~trans(s199, s44)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15668,plain,
% 4.86/4.34 (((~trans(s199, s44)) | (~always3(s199)) | always3(s44)) <=> ((~always3(s199)) | always3(s44) | (~trans(s199, s44)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15669,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s44)) | (~always3(s199)) | always3(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s44) | (~trans(s199, s44))))),
% 4.86/4.34 inference(monotonicity,[status(thm)],[15668])).
% 4.86/4.34 tff(15670,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s44)) | (~always3(s199)) | always3(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s44) | (~trans(s199, s44)))),
% 4.86/4.34 inference(transitivity,[status(thm)],[15669, 15667])).
% 4.86/4.34 tff(15671,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s44)) | (~always3(s199)) | always3(s44))),
% 4.86/4.34 inference(quant_inst,[status(thm)],[])).
% 4.86/4.34 tff(15672,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s44) | (~trans(s199, s44))),
% 4.86/4.34 inference(modus_ponens,[status(thm)],[15671, 15670])).
% 4.86/4.34 tff(15673,plain,
% 4.86/4.34 ($false),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15672, 12728, 38, 15335, 70])).
% 4.86/4.34 tff(15674,plain,((~trans(s199, s44)) | (~always3(s199)) | always3(s44)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.34 tff(15675,plain,
% 4.86/4.34 ((~trans(s199, s44)) | always3(s44)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15674, 15333])).
% 4.86/4.34 tff(15676,plain,
% 4.86/4.34 (~trans(s199, s44)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15675, 70])).
% 4.86/4.34 tff(15677,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s20) | (~trans(s199, s20)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s20) | (~trans(s199, s20)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15678,plain,
% 4.86/4.34 (((~trans(s199, s20)) | (~always3(s199)) | always3(s20)) <=> ((~always3(s199)) | always3(s20) | (~trans(s199, s20)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15679,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s20)) | (~always3(s199)) | always3(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s20) | (~trans(s199, s20))))),
% 4.86/4.34 inference(monotonicity,[status(thm)],[15678])).
% 4.86/4.34 tff(15680,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s20)) | (~always3(s199)) | always3(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s20) | (~trans(s199, s20)))),
% 4.86/4.34 inference(transitivity,[status(thm)],[15679, 15677])).
% 4.86/4.34 tff(15681,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s20)) | (~always3(s199)) | always3(s20))),
% 4.86/4.34 inference(quant_inst,[status(thm)],[])).
% 4.86/4.34 tff(15682,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s20) | (~trans(s199, s20))),
% 4.86/4.34 inference(modus_ponens,[status(thm)],[15681, 15680])).
% 4.86/4.34 tff(15683,plain,
% 4.86/4.34 ($false),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15682, 12739, 38, 15335, 1597])).
% 4.86/4.34 tff(15684,plain,((~trans(s199, s20)) | (~always3(s199)) | always3(s20)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.34 tff(15685,plain,
% 4.86/4.34 ((~trans(s199, s20)) | always3(s20)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15684, 15333])).
% 4.86/4.34 tff(15686,plain,
% 4.86/4.34 (~trans(s199, s20)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15685, 3236])).
% 4.86/4.34 tff(15687,plain,
% 4.86/4.34 (~always3(s0)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[506, 15423])).
% 4.86/4.34 tff(15688,assumption,(~always3(s0)), introduced(assumption)).
% 4.86/4.34 tff(15689,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s0) | (~trans(s199, s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s0) | (~trans(s199, s0)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15690,plain,
% 4.86/4.34 (((~trans(s199, s0)) | (~always3(s199)) | always3(s0)) <=> ((~always3(s199)) | always3(s0) | (~trans(s199, s0)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15691,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s0)) | (~always3(s199)) | always3(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s0) | (~trans(s199, s0))))),
% 4.86/4.34 inference(monotonicity,[status(thm)],[15690])).
% 4.86/4.34 tff(15692,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s0)) | (~always3(s199)) | always3(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s0) | (~trans(s199, s0)))),
% 4.86/4.34 inference(transitivity,[status(thm)],[15691, 15689])).
% 4.86/4.34 tff(15693,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s0)) | (~always3(s199)) | always3(s0))),
% 4.86/4.34 inference(quant_inst,[status(thm)],[])).
% 4.86/4.34 tff(15694,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s0) | (~trans(s199, s0))),
% 4.86/4.34 inference(modus_ponens,[status(thm)],[15693, 15692])).
% 4.86/4.34 tff(15695,plain,
% 4.86/4.34 ($false),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15694, 15323, 38, 15335, 15688])).
% 4.86/4.34 tff(15696,plain,((~trans(s199, s0)) | (~always3(s199)) | always3(s0)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.34 tff(15697,plain,
% 4.86/4.34 ((~trans(s199, s0)) | always3(s0)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15696, 15333])).
% 4.86/4.34 tff(15698,plain,
% 4.86/4.34 (~trans(s199, s0)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15697, 15687])).
% 4.86/4.34 tff(15699,assumption,(~always3(s10)), introduced(assumption)).
% 4.86/4.34 tff(15700,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s10) | (~trans(s199, s10)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s10) | (~trans(s199, s10)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15701,plain,
% 4.86/4.34 (((~trans(s199, s10)) | (~always3(s199)) | always3(s10)) <=> ((~always3(s199)) | always3(s10) | (~trans(s199, s10)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15702,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s10)) | (~always3(s199)) | always3(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s10) | (~trans(s199, s10))))),
% 4.86/4.34 inference(monotonicity,[status(thm)],[15701])).
% 4.86/4.34 tff(15703,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s10)) | (~always3(s199)) | always3(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s10) | (~trans(s199, s10)))),
% 4.86/4.34 inference(transitivity,[status(thm)],[15702, 15700])).
% 4.86/4.34 tff(15704,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s10)) | (~always3(s199)) | always3(s10))),
% 4.86/4.34 inference(quant_inst,[status(thm)],[])).
% 4.86/4.34 tff(15705,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s10) | (~trans(s199, s10))),
% 4.86/4.34 inference(modus_ponens,[status(thm)],[15704, 15703])).
% 4.86/4.34 tff(15706,plain,
% 4.86/4.34 ($false),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15705, 12816, 38, 15335, 15699])).
% 4.86/4.34 tff(15707,plain,((~trans(s199, s10)) | (~always3(s199)) | always3(s10)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.34 tff(15708,plain,
% 4.86/4.34 ((~trans(s199, s10)) | always3(s10)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15707, 15333])).
% 4.86/4.34 tff(15709,plain,
% 4.86/4.34 (~trans(s199, s10)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15708, 3246])).
% 4.86/4.34 tff(15710,assumption,(~always3(s41)), introduced(assumption)).
% 4.86/4.34 tff(15711,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s41) | (~trans(s199, s41)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s41) | (~trans(s199, s41)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15712,plain,
% 4.86/4.34 (((~trans(s199, s41)) | (~always3(s199)) | always3(s41)) <=> ((~always3(s199)) | always3(s41) | (~trans(s199, s41)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15713,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s41)) | (~always3(s199)) | always3(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s41) | (~trans(s199, s41))))),
% 4.86/4.34 inference(monotonicity,[status(thm)],[15712])).
% 4.86/4.34 tff(15714,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s41)) | (~always3(s199)) | always3(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s41) | (~trans(s199, s41)))),
% 4.86/4.34 inference(transitivity,[status(thm)],[15713, 15711])).
% 4.86/4.34 tff(15715,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s41)) | (~always3(s199)) | always3(s41))),
% 4.86/4.34 inference(quant_inst,[status(thm)],[])).
% 4.86/4.34 tff(15716,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s41) | (~trans(s199, s41))),
% 4.86/4.34 inference(modus_ponens,[status(thm)],[15715, 15714])).
% 4.86/4.34 tff(15717,plain,
% 4.86/4.34 ($false),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15716, 12827, 38, 15335, 15710])).
% 4.86/4.34 tff(15718,plain,((~trans(s199, s41)) | (~always3(s199)) | always3(s41)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.34 tff(15719,plain,
% 4.86/4.34 ((~trans(s199, s41)) | always3(s41)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15718, 15333])).
% 4.86/4.34 tff(15720,plain,
% 4.86/4.34 (~trans(s199, s41)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15719, 106])).
% 4.86/4.34 tff(15721,assumption,(~always3(s39)), introduced(assumption)).
% 4.86/4.34 tff(15722,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s39) | (~trans(s199, s39)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s39) | (~trans(s199, s39)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15723,plain,
% 4.86/4.34 (((~trans(s199, s39)) | (~always3(s199)) | always3(s39)) <=> ((~always3(s199)) | always3(s39) | (~trans(s199, s39)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15724,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s39)) | (~always3(s199)) | always3(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s39) | (~trans(s199, s39))))),
% 4.86/4.34 inference(monotonicity,[status(thm)],[15723])).
% 4.86/4.34 tff(15725,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s39)) | (~always3(s199)) | always3(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s39) | (~trans(s199, s39)))),
% 4.86/4.34 inference(transitivity,[status(thm)],[15724, 15722])).
% 4.86/4.34 tff(15726,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s39)) | (~always3(s199)) | always3(s39))),
% 4.86/4.34 inference(quant_inst,[status(thm)],[])).
% 4.86/4.34 tff(15727,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s39) | (~trans(s199, s39))),
% 4.86/4.34 inference(modus_ponens,[status(thm)],[15726, 15725])).
% 4.86/4.34 tff(15728,plain,
% 4.86/4.34 ($false),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15727, 13201, 38, 15335, 15721])).
% 4.86/4.34 tff(15729,plain,((~trans(s199, s39)) | (~always3(s199)) | always3(s39)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.34 tff(15730,plain,
% 4.86/4.34 ((~trans(s199, s39)) | always3(s39)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15729, 15333])).
% 4.86/4.34 tff(15731,plain,
% 4.86/4.34 (~trans(s199, s39)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15730, 3217])).
% 4.86/4.34 tff(15732,assumption,(~always3(s28)), introduced(assumption)).
% 4.86/4.34 tff(15733,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s28) | (~trans(s199, s28)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s28) | (~trans(s199, s28)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15734,plain,
% 4.86/4.34 (((~trans(s199, s28)) | (~always3(s199)) | always3(s28)) <=> ((~always3(s199)) | always3(s28) | (~trans(s199, s28)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15735,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s28)) | (~always3(s199)) | always3(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s28) | (~trans(s199, s28))))),
% 4.86/4.34 inference(monotonicity,[status(thm)],[15734])).
% 4.86/4.34 tff(15736,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s28)) | (~always3(s199)) | always3(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s28) | (~trans(s199, s28)))),
% 4.86/4.34 inference(transitivity,[status(thm)],[15735, 15733])).
% 4.86/4.34 tff(15737,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s28)) | (~always3(s199)) | always3(s28))),
% 4.86/4.34 inference(quant_inst,[status(thm)],[])).
% 4.86/4.34 tff(15738,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s28) | (~trans(s199, s28))),
% 4.86/4.34 inference(modus_ponens,[status(thm)],[15737, 15736])).
% 4.86/4.34 tff(15739,plain,
% 4.86/4.34 ($false),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15738, 12904, 38, 15335, 15732])).
% 4.86/4.34 tff(15740,plain,((~trans(s199, s28)) | (~always3(s199)) | always3(s28)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.34 tff(15741,plain,
% 4.86/4.34 ((~trans(s199, s28)) | always3(s28)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15740, 15333])).
% 4.86/4.34 tff(15742,plain,
% 4.86/4.34 (~trans(s199, s28)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15741, 3228])).
% 4.86/4.34 tff(15743,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s24) | (~trans(s199, s24)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s24) | (~trans(s199, s24)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15744,plain,
% 4.86/4.34 (((~trans(s199, s24)) | (~always3(s199)) | always3(s24)) <=> ((~always3(s199)) | always3(s24) | (~trans(s199, s24)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15745,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s24)) | (~always3(s199)) | always3(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s24) | (~trans(s199, s24))))),
% 4.86/4.34 inference(monotonicity,[status(thm)],[15744])).
% 4.86/4.34 tff(15746,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s24)) | (~always3(s199)) | always3(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s24) | (~trans(s199, s24)))),
% 4.86/4.34 inference(transitivity,[status(thm)],[15745, 15743])).
% 4.86/4.34 tff(15747,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s24)) | (~always3(s199)) | always3(s24))),
% 4.86/4.34 inference(quant_inst,[status(thm)],[])).
% 4.86/4.34 tff(15748,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s24) | (~trans(s199, s24))),
% 4.86/4.34 inference(modus_ponens,[status(thm)],[15747, 15746])).
% 4.86/4.34 tff(15749,plain,
% 4.86/4.34 ($false),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15748, 12981, 38, 15335, 1913])).
% 4.86/4.34 tff(15750,plain,((~trans(s199, s24)) | (~always3(s199)) | always3(s24)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.34 tff(15751,plain,
% 4.86/4.34 ((~trans(s199, s24)) | always3(s24)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15750, 15333])).
% 4.86/4.34 tff(15752,plain,
% 4.86/4.34 (~trans(s199, s24)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15751, 3232])).
% 4.86/4.34 tff(15753,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s25) | (~trans(s199, s25)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s25) | (~trans(s199, s25)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15754,plain,
% 4.86/4.34 (((~trans(s199, s25)) | (~always3(s199)) | always3(s25)) <=> ((~always3(s199)) | always3(s25) | (~trans(s199, s25)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15755,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s25)) | (~always3(s199)) | always3(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s25) | (~trans(s199, s25))))),
% 4.86/4.34 inference(monotonicity,[status(thm)],[15754])).
% 4.86/4.34 tff(15756,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s25)) | (~always3(s199)) | always3(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s25) | (~trans(s199, s25)))),
% 4.86/4.34 inference(transitivity,[status(thm)],[15755, 15753])).
% 4.86/4.34 tff(15757,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s25)) | (~always3(s199)) | always3(s25))),
% 4.86/4.34 inference(quant_inst,[status(thm)],[])).
% 4.86/4.34 tff(15758,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s25) | (~trans(s199, s25))),
% 4.86/4.34 inference(modus_ponens,[status(thm)],[15757, 15756])).
% 4.86/4.34 tff(15759,plain,
% 4.86/4.34 ($false),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15758, 12992, 38, 15335, 1760])).
% 4.86/4.34 tff(15760,plain,((~trans(s199, s25)) | (~always3(s199)) | always3(s25)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.34 tff(15761,plain,
% 4.86/4.34 ((~trans(s199, s25)) | always3(s25)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15760, 15333])).
% 4.86/4.34 tff(15762,plain,
% 4.86/4.34 (~trans(s199, s25)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15761, 3231])).
% 4.86/4.34 tff(15763,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s17) | (~trans(s199, s17)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s17) | (~trans(s199, s17)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15764,plain,
% 4.86/4.34 (((~trans(s199, s17)) | (~always3(s199)) | always3(s17)) <=> ((~always3(s199)) | always3(s17) | (~trans(s199, s17)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15765,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s17)) | (~always3(s199)) | always3(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s17) | (~trans(s199, s17))))),
% 4.86/4.34 inference(monotonicity,[status(thm)],[15764])).
% 4.86/4.34 tff(15766,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s17)) | (~always3(s199)) | always3(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s17) | (~trans(s199, s17)))),
% 4.86/4.34 inference(transitivity,[status(thm)],[15765, 15763])).
% 4.86/4.34 tff(15767,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s17)) | (~always3(s199)) | always3(s17))),
% 4.86/4.34 inference(quant_inst,[status(thm)],[])).
% 4.86/4.34 tff(15768,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s17) | (~trans(s199, s17))),
% 4.86/4.34 inference(modus_ponens,[status(thm)],[15767, 15766])).
% 4.86/4.34 tff(15769,plain,
% 4.86/4.34 ($false),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15768, 13025, 38, 15335, 1414])).
% 4.86/4.34 tff(15770,plain,((~trans(s199, s17)) | (~always3(s199)) | always3(s17)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.34 tff(15771,plain,
% 4.86/4.34 ((~trans(s199, s17)) | always3(s17)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15770, 15333])).
% 4.86/4.34 tff(15772,plain,
% 4.86/4.34 (~trans(s199, s17)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15771, 3239])).
% 4.86/4.34 tff(15773,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s9) | (~trans(s199, s9)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s9) | (~trans(s199, s9)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15774,plain,
% 4.86/4.34 (((~trans(s199, s9)) | (~always3(s199)) | always3(s9)) <=> ((~always3(s199)) | always3(s9) | (~trans(s199, s9)))),
% 4.86/4.34 inference(rewrite,[status(thm)],[])).
% 4.86/4.34 tff(15775,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s9)) | (~always3(s199)) | always3(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s9) | (~trans(s199, s9))))),
% 4.86/4.34 inference(monotonicity,[status(thm)],[15774])).
% 4.86/4.34 tff(15776,plain,
% 4.86/4.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s9)) | (~always3(s199)) | always3(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s9) | (~trans(s199, s9)))),
% 4.86/4.34 inference(transitivity,[status(thm)],[15775, 15773])).
% 4.86/4.34 tff(15777,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s9)) | (~always3(s199)) | always3(s9))),
% 4.86/4.34 inference(quant_inst,[status(thm)],[])).
% 4.86/4.34 tff(15778,plain,
% 4.86/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s9) | (~trans(s199, s9))),
% 4.86/4.34 inference(modus_ponens,[status(thm)],[15777, 15776])).
% 4.86/4.34 tff(15779,plain,
% 4.86/4.34 ($false),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15778, 12618, 38, 15335, 723])).
% 4.86/4.34 tff(15780,plain,((~trans(s199, s9)) | (~always3(s199)) | always3(s9)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.34 tff(15781,plain,
% 4.86/4.34 ((~trans(s199, s9)) | always3(s9)),
% 4.86/4.34 inference(unit_resolution,[status(thm)],[15780, 15333])).
% 4.86/4.35 tff(15782,plain,
% 4.86/4.35 (~trans(s199, s9)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15781, 3247])).
% 4.86/4.35 tff(15783,assumption,(~always3(s13)), introduced(assumption)).
% 4.86/4.35 tff(15784,plain,
% 4.86/4.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s13) | (~trans(s199, s13)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s13) | (~trans(s199, s13)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15785,plain,
% 4.86/4.35 (((~trans(s199, s13)) | (~always3(s199)) | always3(s13)) <=> ((~always3(s199)) | always3(s13) | (~trans(s199, s13)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15786,plain,
% 4.86/4.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s13)) | (~always3(s199)) | always3(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s13) | (~trans(s199, s13))))),
% 4.86/4.35 inference(monotonicity,[status(thm)],[15785])).
% 4.86/4.35 tff(15787,plain,
% 4.86/4.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s13)) | (~always3(s199)) | always3(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s13) | (~trans(s199, s13)))),
% 4.86/4.35 inference(transitivity,[status(thm)],[15786, 15784])).
% 4.86/4.35 tff(15788,plain,
% 4.86/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s13)) | (~always3(s199)) | always3(s13))),
% 4.86/4.35 inference(quant_inst,[status(thm)],[])).
% 4.86/4.35 tff(15789,plain,
% 4.86/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s13) | (~trans(s199, s13))),
% 4.86/4.35 inference(modus_ponens,[status(thm)],[15788, 15787])).
% 4.86/4.35 tff(15790,plain,
% 4.86/4.35 ($false),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15789, 13036, 38, 15335, 15783])).
% 4.86/4.35 tff(15791,plain,((~trans(s199, s13)) | (~always3(s199)) | always3(s13)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.35 tff(15792,plain,
% 4.86/4.35 ((~trans(s199, s13)) | always3(s13)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15791, 15333])).
% 4.86/4.35 tff(15793,plain,
% 4.86/4.35 (~trans(s199, s13)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15792, 3243])).
% 4.86/4.35 tff(15794,plain,
% 4.86/4.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s18) | (~trans(s199, s18)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s18) | (~trans(s199, s18)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15795,plain,
% 4.86/4.35 (((~trans(s199, s18)) | (~always3(s199)) | always3(s18)) <=> ((~always3(s199)) | always3(s18) | (~trans(s199, s18)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15796,plain,
% 4.86/4.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s18)) | (~always3(s199)) | always3(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s18) | (~trans(s199, s18))))),
% 4.86/4.35 inference(monotonicity,[status(thm)],[15795])).
% 4.86/4.35 tff(15797,plain,
% 4.86/4.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s18)) | (~always3(s199)) | always3(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s18) | (~trans(s199, s18)))),
% 4.86/4.35 inference(transitivity,[status(thm)],[15796, 15794])).
% 4.86/4.35 tff(15798,plain,
% 4.86/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s18)) | (~always3(s199)) | always3(s18))),
% 4.86/4.35 inference(quant_inst,[status(thm)],[])).
% 4.86/4.35 tff(15799,plain,
% 4.86/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s18) | (~trans(s199, s18))),
% 4.86/4.35 inference(modus_ponens,[status(thm)],[15798, 15797])).
% 4.86/4.35 tff(15800,plain,
% 4.86/4.35 ($false),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15799, 13146, 38, 15335, 1668])).
% 4.86/4.35 tff(15801,plain,((~trans(s199, s18)) | (~always3(s199)) | always3(s18)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.35 tff(15802,plain,
% 4.86/4.35 ((~trans(s199, s18)) | always3(s18)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15801, 15333])).
% 4.86/4.35 tff(15803,plain,
% 4.86/4.35 (~trans(s199, s18)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15802, 3238])).
% 4.86/4.35 tff(15804,assumption,(~always3(s14)), introduced(assumption)).
% 4.86/4.35 tff(15805,plain,
% 4.86/4.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s14) | (~trans(s199, s14)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s14) | (~trans(s199, s14)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15806,plain,
% 4.86/4.35 (((~trans(s199, s14)) | (~always3(s199)) | always3(s14)) <=> ((~always3(s199)) | always3(s14) | (~trans(s199, s14)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15807,plain,
% 4.86/4.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s14)) | (~always3(s199)) | always3(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s14) | (~trans(s199, s14))))),
% 4.86/4.35 inference(monotonicity,[status(thm)],[15806])).
% 4.86/4.35 tff(15808,plain,
% 4.86/4.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s14)) | (~always3(s199)) | always3(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s14) | (~trans(s199, s14)))),
% 4.86/4.35 inference(transitivity,[status(thm)],[15807, 15805])).
% 4.86/4.35 tff(15809,plain,
% 4.86/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s14)) | (~always3(s199)) | always3(s14))),
% 4.86/4.35 inference(quant_inst,[status(thm)],[])).
% 4.86/4.35 tff(15810,plain,
% 4.86/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s14) | (~trans(s199, s14))),
% 4.86/4.35 inference(modus_ponens,[status(thm)],[15809, 15808])).
% 4.86/4.35 tff(15811,plain,
% 4.86/4.35 ($false),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15810, 13157, 38, 15335, 15804])).
% 4.86/4.35 tff(15812,plain,((~trans(s199, s14)) | (~always3(s199)) | always3(s14)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.35 tff(15813,plain,
% 4.86/4.35 ((~trans(s199, s14)) | always3(s14)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15812, 15333])).
% 4.86/4.35 tff(15814,plain,
% 4.86/4.35 (~trans(s199, s14)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15813, 3242])).
% 4.86/4.35 tff(15815,assumption,(until5(s42)), introduced(assumption)).
% 4.86/4.35 tff(15816,assumption,(until5(s43)), introduced(assumption)).
% 4.86/4.35 tff(15817,assumption,(~always3(s45)), introduced(assumption)).
% 4.86/4.35 tff(15818,plain,
% 4.86/4.35 (~always3(s44)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[6436, 15817])).
% 4.86/4.35 tff(15819,plain,
% 4.86/4.35 (~node4(s44)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7119, 113, 15818])).
% 4.86/4.35 tff(15820,plain,
% 4.86/4.35 (~always3(s43)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[81, 15818])).
% 4.86/4.35 tff(15821,plain,
% 4.86/4.35 (~node4(s43)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7102, 113, 15820])).
% 4.86/4.35 tff(15822,plain,
% 4.86/4.35 (xuntil6(s43) | node4(s43)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7109, 225, 15816])).
% 4.86/4.35 tff(15823,plain,
% 4.86/4.35 (xuntil6(s43)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15822, 15821])).
% 4.86/4.35 tff(15824,plain,
% 4.86/4.35 (until5(s44)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7115, 15823])).
% 4.86/4.35 tff(15825,plain,
% 4.86/4.35 (xuntil6(s44)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7126, 225, 15824, 15819])).
% 4.86/4.35 tff(15826,plain,
% 4.86/4.35 (until5(s45)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7132, 15825])).
% 4.86/4.35 tff(15827,assumption,(~xuntil6(s45)), introduced(assumption)).
% 4.86/4.35 tff(15828,plain,
% 4.86/4.35 (node4(s45) | (~until5(s45))),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7143, 225, 15827])).
% 4.86/4.35 tff(15829,plain,
% 4.86/4.35 (node4(s45)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15828, 15826])).
% 4.86/4.35 tff(15830,plain,
% 4.86/4.35 ($false),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7136, 113, 15817, 15829])).
% 4.86/4.35 tff(15831,plain,(always3(s45) | xuntil6(s45) | (~until5(s43))), inference(lemma,lemma(discharge,[]))).
% 4.86/4.35 tff(15832,plain,
% 4.86/4.35 (xuntil6(s45)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15831, 15817, 15816])).
% 4.86/4.35 tff(15833,plain,
% 4.86/4.35 (until5(s46)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7149, 15832])).
% 4.86/4.35 tff(15834,assumption,(~xuntil6(s46)), introduced(assumption)).
% 4.86/4.35 tff(15835,assumption,(~always3(s46)), introduced(assumption)).
% 4.86/4.35 tff(15836,plain,
% 4.86/4.35 (~always3(s45)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[6424, 15835])).
% 4.86/4.35 tff(15837,plain,
% 4.86/4.35 (~node4(s45)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7136, 113, 15836])).
% 4.86/4.35 tff(15838,plain,
% 4.86/4.35 (~node4(s46)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7153, 113, 15835])).
% 4.86/4.35 tff(15839,plain,
% 4.86/4.35 (node4(s46) | (~until5(s46))),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7160, 225, 15834])).
% 4.86/4.35 tff(15840,plain,
% 4.86/4.35 (~until5(s46)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15839, 15838])).
% 4.86/4.35 tff(15841,plain,
% 4.86/4.35 (~xuntil6(s45)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7149, 15840])).
% 4.86/4.35 tff(15842,plain,
% 4.86/4.35 (~until5(s45)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7143, 225, 15841, 15837])).
% 4.86/4.35 tff(15843,plain,
% 4.86/4.35 (~xuntil6(s44)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7132, 15842])).
% 4.86/4.35 tff(15844,plain,
% 4.86/4.35 (~always3(s44)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[6436, 15836])).
% 4.86/4.35 tff(15845,plain,
% 4.86/4.35 (~always3(s43)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[81, 15844])).
% 4.86/4.35 tff(15846,plain,
% 4.86/4.35 (~node4(s43)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7102, 113, 15845])).
% 4.86/4.35 tff(15847,plain,
% 4.86/4.35 (~always3(s42)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[93, 15845])).
% 4.86/4.35 tff(15848,plain,
% 4.86/4.35 (~node4(s42)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[3202, 113, 15847])).
% 4.86/4.35 tff(15849,plain,
% 4.86/4.35 (xuntil6(s42) | node4(s42)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[3209, 225, 15815])).
% 4.86/4.35 tff(15850,plain,
% 4.86/4.35 (xuntil6(s42)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15849, 15848])).
% 4.86/4.35 tff(15851,plain,
% 4.86/4.35 (until5(s43)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[3214, 15850])).
% 4.86/4.35 tff(15852,plain,
% 4.86/4.35 (xuntil6(s43)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7109, 225, 15851, 15846])).
% 4.86/4.35 tff(15853,plain,
% 4.86/4.35 (until5(s44)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7115, 15852])).
% 4.86/4.35 tff(15854,plain,
% 4.86/4.35 (~node4(s44)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7119, 113, 15844])).
% 4.86/4.35 tff(15855,plain,
% 4.86/4.35 (xuntil6(s44) | (~until5(s44))),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7126, 225, 15854])).
% 4.86/4.35 tff(15856,plain,
% 4.86/4.35 ($false),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15855, 15853, 15843])).
% 4.86/4.35 tff(15857,plain,(always3(s46) | (~until5(s42)) | xuntil6(s46)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.35 tff(15858,plain,
% 4.86/4.35 (always3(s46)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15857, 15834, 15815])).
% 4.86/4.35 tff(15859,plain,
% 4.86/4.35 (always3(s47)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[6412, 15858])).
% 4.86/4.35 tff(15860,plain,
% 4.86/4.35 (((~![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)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15861,plain,
% 4.86/4.35 (((~m_main_v_state(s47, c_busy)) | (~always3(s47))) <=> ((~always3(s47)) | (~m_main_v_state(s47, c_busy)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15862,plain,
% 4.86/4.35 (((~![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))))),
% 4.86/4.35 inference(monotonicity,[status(thm)],[15861])).
% 4.86/4.35 tff(15863,plain,
% 4.86/4.35 (((~![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)))),
% 4.86/4.35 inference(transitivity,[status(thm)],[15862, 15860])).
% 4.86/4.35 tff(15864,plain,
% 4.86/4.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s47, c_busy)) | (~always3(s47)))),
% 4.86/4.35 inference(quant_inst,[status(thm)],[])).
% 4.86/4.35 tff(15865,plain,
% 4.86/4.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s47)) | (~m_main_v_state(s47, c_busy))),
% 4.86/4.35 inference(modus_ponens,[status(thm)],[15864, 15863])).
% 4.86/4.35 tff(15866,plain,
% 4.86/4.35 (~m_main_v_state(s47, c_busy)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15865, 145, 15859])).
% 4.86/4.35 tff(15867,assumption,(until5(s46)), introduced(assumption)).
% 4.86/4.35 tff(15868,plain,
% 4.86/4.35 (xuntil6(s46) | node4(s46)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7160, 225, 15867])).
% 4.86/4.35 tff(15869,plain,
% 4.86/4.35 (node4(s46)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15868, 15834])).
% 4.86/4.35 tff(15870,plain,
% 4.86/4.35 (((~![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)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15871,plain,
% 4.86/4.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s46) | (~node4(s46)))),
% 4.86/4.35 inference(quant_inst,[status(thm)],[])).
% 4.86/4.35 tff(15872,plain,
% 4.86/4.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s46) | (~node4(s46))),
% 4.86/4.35 inference(modus_ponens,[status(thm)],[15871, 15870])).
% 4.86/4.35 tff(15873,plain,
% 4.86/4.35 (m_main_v_request(s46)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15872, 63, 15869])).
% 4.86/4.35 tff(15874,plain,
% 4.86/4.35 (((~![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))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15875,plain,
% 4.86/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s46, s47)) | node2(s46, s47))),
% 4.86/4.35 inference(quant_inst,[status(thm)],[])).
% 4.86/4.35 tff(15876,plain,
% 4.86/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s46, s47)) | node2(s46, s47)),
% 4.86/4.35 inference(modus_ponens,[status(thm)],[15875, 15874])).
% 4.86/4.35 tff(15877,plain,
% 4.86/4.35 (node2(s46, s47)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15876, 7, 6408])).
% 4.86/4.35 tff(15878,plain,
% 4.86/4.35 (((~![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(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)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15879,plain,
% 4.86/4.35 ((~![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(s46, c_ready)) | (~node2(s46, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46)))),
% 4.86/4.35 inference(quant_inst,[status(thm)],[])).
% 4.86/4.35 tff(15880,plain,
% 4.86/4.35 ((~![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(s46, c_ready)) | (~node2(s46, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46))),
% 4.86/4.35 inference(modus_ponens,[status(thm)],[15879, 15878])).
% 4.86/4.35 tff(15881,plain,
% 4.86/4.35 ((~m_main_v_state(s46, c_ready)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46))),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15880, 166, 15877])).
% 4.86/4.35 tff(15882,plain,
% 4.86/4.35 (~m_main_v_state(s46, c_ready)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15881, 15873, 15866])).
% 4.86/4.35 tff(15883,plain,
% 4.86/4.35 (((~![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)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15884,plain,
% 4.86/4.35 (((~m_main_v_state(s46, c_busy)) | (~always3(s46))) <=> ((~always3(s46)) | (~m_main_v_state(s46, c_busy)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15885,plain,
% 4.86/4.35 (((~![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))))),
% 4.86/4.35 inference(monotonicity,[status(thm)],[15884])).
% 4.86/4.35 tff(15886,plain,
% 4.86/4.35 (((~![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)))),
% 4.86/4.35 inference(transitivity,[status(thm)],[15885, 15883])).
% 4.86/4.35 tff(15887,plain,
% 4.86/4.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s46, c_busy)) | (~always3(s46)))),
% 4.86/4.35 inference(quant_inst,[status(thm)],[])).
% 4.86/4.35 tff(15888,plain,
% 4.86/4.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s46)) | (~m_main_v_state(s46, c_busy))),
% 4.86/4.35 inference(modus_ponens,[status(thm)],[15887, 15886])).
% 4.86/4.35 tff(15889,plain,
% 4.86/4.35 (~m_main_v_state(s46, c_busy)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15888, 145, 15858])).
% 4.86/4.35 tff(15890,plain,
% 4.86/4.35 (((~![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))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15891,plain,
% 4.86/4.35 ((~![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))),
% 4.86/4.35 inference(quant_inst,[status(thm)],[])).
% 4.86/4.35 tff(15892,plain,
% 4.86/4.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s46, c_busy) | m_main_v_state(s46, c_ready)),
% 4.86/4.35 inference(modus_ponens,[status(thm)],[15891, 15890])).
% 4.86/4.35 tff(15893,plain,
% 4.86/4.35 ($false),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15892, 188, 15889, 15882])).
% 4.86/4.35 tff(15894,plain,(xuntil6(s46) | (~until5(s46)) | (~until5(s42))), inference(lemma,lemma(discharge,[]))).
% 4.86/4.35 tff(15895,plain,
% 4.86/4.35 (xuntil6(s46)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15894, 15833, 15815])).
% 4.86/4.35 tff(15896,plain,
% 4.86/4.35 (until5(s47)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[7166, 15895])).
% 4.86/4.35 tff(15897,plain,
% 4.86/4.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s45) | (~trans(s199, s45)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s45) | (~trans(s199, s45)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15898,plain,
% 4.86/4.35 (((~trans(s199, s45)) | (~always3(s199)) | always3(s45)) <=> ((~always3(s199)) | always3(s45) | (~trans(s199, s45)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15899,plain,
% 4.86/4.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s45)) | (~always3(s199)) | always3(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s45) | (~trans(s199, s45))))),
% 4.86/4.35 inference(monotonicity,[status(thm)],[15898])).
% 4.86/4.35 tff(15900,plain,
% 4.86/4.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s45)) | (~always3(s199)) | always3(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s45) | (~trans(s199, s45)))),
% 4.86/4.35 inference(transitivity,[status(thm)],[15899, 15897])).
% 4.86/4.35 tff(15901,plain,
% 4.86/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s45)) | (~always3(s199)) | always3(s45))),
% 4.86/4.35 inference(quant_inst,[status(thm)],[])).
% 4.86/4.35 tff(15902,plain,
% 4.86/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s45) | (~trans(s199, s45))),
% 4.86/4.35 inference(modus_ponens,[status(thm)],[15901, 15900])).
% 4.86/4.35 tff(15903,plain,
% 4.86/4.35 ($false),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15902, 12310, 38, 15335, 15817])).
% 4.86/4.35 tff(15904,plain,((~trans(s199, s45)) | (~always3(s199)) | always3(s45)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.35 tff(15905,plain,
% 4.86/4.35 ((~trans(s199, s45)) | always3(s45)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15904, 15333])).
% 4.86/4.35 tff(15906,plain,
% 4.86/4.35 (~trans(s199, s45)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15905, 15817])).
% 4.86/4.35 tff(15907,assumption,(until5(s47)), introduced(assumption)).
% 4.86/4.35 tff(15908,plain,
% 4.86/4.35 (~until2p7(s199)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[8297, 69])).
% 4.86/4.35 tff(15909,plain,
% 4.86/4.35 (~xuntil2p8(s198)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[8312, 15908])).
% 4.86/4.35 tff(15910,plain,
% 4.86/4.35 (~until2p7(s198)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[8317, 15909])).
% 4.86/4.35 tff(15911,plain,
% 4.86/4.35 (~xuntil2p8(s197)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[8322, 15910])).
% 4.86/4.35 tff(15912,plain,
% 4.86/4.35 (~until2p7(s197)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[8353, 15911])).
% 4.86/4.35 tff(15913,plain,
% 4.86/4.35 (~xuntil2p8(s196)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[8358, 15912])).
% 4.86/4.35 tff(15914,plain,
% 4.86/4.35 (~until2p7(s196)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[8363, 15913])).
% 4.86/4.35 tff(15915,plain,
% 4.86/4.35 (~xuntil2p8(s195)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[8368, 15914])).
% 4.86/4.35 tff(15916,assumption,(node4(s195)), introduced(assumption)).
% 4.86/4.35 tff(15917,plain,
% 4.86/4.35 (((~![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)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15918,plain,
% 4.86/4.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s195) | (~node4(s195)))),
% 4.86/4.35 inference(quant_inst,[status(thm)],[])).
% 4.86/4.35 tff(15919,plain,
% 4.86/4.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s195) | (~node4(s195))),
% 4.86/4.35 inference(modus_ponens,[status(thm)],[15918, 15917])).
% 4.86/4.35 tff(15920,plain,
% 4.86/4.35 (m_main_v_request(s195)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15919, 63, 15916])).
% 4.86/4.35 tff(15921,plain,
% 4.86/4.35 (always3(s195)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[3472, 113, 15916])).
% 4.86/4.35 tff(15922,plain,
% 4.86/4.35 (always3(s196)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[3302, 15921])).
% 4.86/4.35 tff(15923,plain,
% 4.86/4.35 (~m_main_v_state(s196, c_busy)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[3512, 145, 15922])).
% 4.86/4.35 tff(15924,plain,
% 4.86/4.35 (~m_main_v_state(s195, c_busy)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[3425, 145, 15921])).
% 4.86/4.35 tff(15925,assumption,(~m_main_v_state(s195, c_busy)), introduced(assumption)).
% 4.86/4.35 tff(15926,assumption,(~m_main_v_state(s195, c_ready)), introduced(assumption)).
% 4.86/4.35 tff(15927,plain,
% 4.86/4.35 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s194, s195)) | m_main_v_state(s195, c_busy) | node1(s194) | m_main_v_state(s195, 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(s194, s195)) | m_main_v_state(s195, c_busy) | node1(s194) | m_main_v_state(s195, c_ready))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15928,plain,
% 4.86/4.35 ((node1(s194) | m_main_v_state(s195, c_ready) | (~node2(s194, s195)) | m_main_v_state(s195, c_busy)) <=> ((~node2(s194, s195)) | m_main_v_state(s195, c_busy) | node1(s194) | m_main_v_state(s195, c_ready))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15929,plain,
% 4.86/4.35 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s194) | m_main_v_state(s195, c_ready) | (~node2(s194, s195)) | m_main_v_state(s195, 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(s194, s195)) | m_main_v_state(s195, c_busy) | node1(s194) | m_main_v_state(s195, c_ready)))),
% 4.86/4.35 inference(monotonicity,[status(thm)],[15928])).
% 4.86/4.35 tff(15930,plain,
% 4.86/4.35 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s194) | m_main_v_state(s195, c_ready) | (~node2(s194, s195)) | m_main_v_state(s195, 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(s194, s195)) | m_main_v_state(s195, c_busy) | node1(s194) | m_main_v_state(s195, c_ready))),
% 4.86/4.35 inference(transitivity,[status(thm)],[15929, 15927])).
% 4.86/4.35 tff(15931,plain,
% 4.86/4.35 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s194) | m_main_v_state(s195, c_ready) | (~node2(s194, s195)) | m_main_v_state(s195, c_busy))),
% 4.86/4.35 inference(quant_inst,[status(thm)],[])).
% 4.86/4.35 tff(15932,plain,
% 4.86/4.35 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s194, s195)) | m_main_v_state(s195, c_busy) | node1(s194) | m_main_v_state(s195, c_ready)),
% 4.86/4.35 inference(modus_ponens,[status(thm)],[15931, 15930])).
% 4.86/4.35 tff(15933,plain,
% 4.86/4.35 (m_main_v_state(s195, c_busy) | node1(s194) | m_main_v_state(s195, c_ready)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15932, 2250, 3430])).
% 4.86/4.35 tff(15934,plain,
% 4.86/4.35 (node1(s194)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15933, 15925, 15926])).
% 4.86/4.35 tff(15935,plain,
% 4.86/4.35 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s194, c_ready) | (~node1(s194)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s194, c_ready) | (~node1(s194)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15936,plain,
% 4.86/4.35 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s194, c_ready) | (~node1(s194)))),
% 4.86/4.35 inference(quant_inst,[status(thm)],[])).
% 4.86/4.35 tff(15937,plain,
% 4.86/4.35 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s194, c_ready) | (~node1(s194))),
% 4.86/4.35 inference(modus_ponens,[status(thm)],[15936, 15935])).
% 4.86/4.35 tff(15938,plain,
% 4.86/4.35 (m_main_v_state(s194, c_ready)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15937, 2265, 15934])).
% 4.86/4.35 tff(15939,plain,
% 4.86/4.35 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s194) | (~node1(s194)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s194) | (~node1(s194)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15940,plain,
% 4.86/4.35 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s194) | (~node1(s194)))),
% 4.86/4.35 inference(quant_inst,[status(thm)],[])).
% 4.86/4.35 tff(15941,plain,
% 4.86/4.35 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s194) | (~node1(s194))),
% 4.86/4.35 inference(modus_ponens,[status(thm)],[15940, 15939])).
% 4.86/4.35 tff(15942,plain,
% 4.86/4.35 (m_main_v_request(s194)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15941, 2276, 15934])).
% 4.86/4.35 tff(15943,plain,
% 4.86/4.35 ($false),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[3434, 15942, 15938, 15925])).
% 4.86/4.35 tff(15944,plain,(m_main_v_state(s195, c_busy) | m_main_v_state(s195, c_ready)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.35 tff(15945,plain,
% 4.86/4.35 (m_main_v_state(s195, c_ready)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15944, 15924])).
% 4.86/4.35 tff(15946,plain,
% 4.86/4.35 (((~![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))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15947,plain,
% 4.86/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s195, s196)) | node2(s195, s196))),
% 4.86/4.35 inference(quant_inst,[status(thm)],[])).
% 4.86/4.35 tff(15948,plain,
% 4.86/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s195, s196)) | node2(s195, s196)),
% 4.86/4.35 inference(modus_ponens,[status(thm)],[15947, 15946])).
% 4.86/4.35 tff(15949,plain,
% 4.86/4.35 (node2(s195, s196)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15948, 7, 3298])).
% 4.86/4.35 tff(15950,plain,
% 4.86/4.35 (((~![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(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)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15951,plain,
% 4.86/4.35 ((~![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(s195, c_ready)) | (~node2(s195, s196)) | m_main_v_state(s196, c_busy) | (~m_main_v_request(s195)))),
% 4.86/4.35 inference(quant_inst,[status(thm)],[])).
% 4.86/4.35 tff(15952,plain,
% 4.86/4.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s195, c_ready)) | (~node2(s195, s196)) | m_main_v_state(s196, c_busy) | (~m_main_v_request(s195))),
% 4.86/4.35 inference(modus_ponens,[status(thm)],[15951, 15950])).
% 4.86/4.35 tff(15953,plain,
% 4.86/4.35 ((~m_main_v_state(s195, c_ready)) | m_main_v_state(s196, c_busy) | (~m_main_v_request(s195))),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15952, 166, 15949])).
% 4.86/4.35 tff(15954,plain,
% 4.86/4.35 ($false),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15953, 15945, 15923, 15920])).
% 4.86/4.35 tff(15955,plain,(~node4(s195)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.35 tff(15956,plain,
% 4.86/4.35 (xuntil2p8(s195) | (~until2p7(s195))),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[8373, 8293, 15955])).
% 4.86/4.35 tff(15957,plain,
% 4.86/4.35 (~until2p7(s195)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15956, 15915])).
% 4.86/4.35 tff(15958,plain,
% 4.86/4.35 (~xuntil2p8(s194)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[8379, 15957])).
% 4.86/4.35 tff(15959,plain,
% 4.86/4.35 (~until2p7(s194)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[8384, 15958])).
% 4.86/4.35 tff(15960,plain,
% 4.86/4.35 (~xuntil2p8(s193)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[8389, 15959])).
% 4.86/4.35 tff(15961,assumption,(node4(s193)), introduced(assumption)).
% 4.86/4.35 tff(15962,plain,
% 4.86/4.35 (((~![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)))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15963,plain,
% 4.86/4.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s193) | (~node4(s193)))),
% 4.86/4.35 inference(quant_inst,[status(thm)],[])).
% 4.86/4.35 tff(15964,plain,
% 4.86/4.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s193) | (~node4(s193))),
% 4.86/4.35 inference(modus_ponens,[status(thm)],[15963, 15962])).
% 4.86/4.35 tff(15965,plain,
% 4.86/4.35 (m_main_v_request(s193)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[15964, 63, 15961])).
% 4.86/4.35 tff(15966,plain,
% 4.86/4.35 (always3(s193)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[3395, 113, 15961])).
% 4.86/4.35 tff(15967,plain,
% 4.86/4.35 (always3(s194)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[3326, 15966])).
% 4.86/4.35 tff(15968,plain,
% 4.86/4.35 (~m_main_v_state(s194, c_busy)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[3441, 145, 15967])).
% 4.86/4.35 tff(15969,assumption,(~node1(s192)), introduced(assumption)).
% 4.86/4.35 tff(15970,plain,
% 4.86/4.35 (~m_main_v_state(s193, c_busy)),
% 4.86/4.35 inference(unit_resolution,[status(thm)],[3629, 145, 15966])).
% 4.86/4.35 tff(15971,plain,
% 4.86/4.35 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s192, s193)) | m_main_v_state(s193, c_busy) | node1(s192) | m_main_v_state(s193, 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(s192, s193)) | m_main_v_state(s193, c_busy) | node1(s192) | m_main_v_state(s193, c_ready))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15972,plain,
% 4.86/4.35 ((node1(s192) | m_main_v_state(s193, c_ready) | (~node2(s192, s193)) | m_main_v_state(s193, c_busy)) <=> ((~node2(s192, s193)) | m_main_v_state(s193, c_busy) | node1(s192) | m_main_v_state(s193, c_ready))),
% 4.86/4.35 inference(rewrite,[status(thm)],[])).
% 4.86/4.35 tff(15973,plain,
% 4.86/4.35 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s192) | m_main_v_state(s193, c_ready) | (~node2(s192, s193)) | m_main_v_state(s193, 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(s192, s193)) | m_main_v_state(s193, c_busy) | node1(s192) | m_main_v_state(s193, c_ready)))),
% 4.86/4.35 inference(monotonicity,[status(thm)],[15972])).
% 4.86/4.35 tff(15974,plain,
% 4.86/4.35 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s192) | m_main_v_state(s193, c_ready) | (~node2(s192, s193)) | m_main_v_state(s193, 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(s192, s193)) | m_main_v_state(s193, c_busy) | node1(s192) | m_main_v_state(s193, c_ready))),
% 4.86/4.35 inference(transitivity,[status(thm)],[15973, 15971])).
% 4.86/4.36 tff(15975,plain,
% 4.86/4.36 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s192) | m_main_v_state(s193, c_ready) | (~node2(s192, s193)) | m_main_v_state(s193, c_busy))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(15976,plain,
% 4.86/4.36 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s192, s193)) | m_main_v_state(s193, c_busy) | node1(s192) | m_main_v_state(s193, c_ready)),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[15975, 15974])).
% 4.86/4.36 tff(15977,plain,
% 4.86/4.36 (m_main_v_state(s193, c_busy) | node1(s192) | m_main_v_state(s193, c_ready)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[15976, 2250, 3634])).
% 4.86/4.36 tff(15978,plain,
% 4.86/4.36 (m_main_v_state(s193, c_ready)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[15977, 15970, 15969])).
% 4.86/4.36 tff(15979,plain,
% 4.86/4.36 (((~![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))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(15980,plain,
% 4.86/4.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s193, s194)) | node2(s193, s194))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(15981,plain,
% 4.86/4.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s193, s194)) | node2(s193, s194)),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[15980, 15979])).
% 4.86/4.36 tff(15982,plain,
% 4.86/4.36 (node2(s193, s194)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[15981, 7, 3322])).
% 4.86/4.36 tff(15983,plain,
% 4.86/4.36 (((~![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(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)))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(15984,plain,
% 4.86/4.36 ((~![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(s193, c_ready)) | (~node2(s193, s194)) | m_main_v_state(s194, c_busy) | (~m_main_v_request(s193)))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(15985,plain,
% 4.86/4.36 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s193, c_ready)) | (~node2(s193, s194)) | m_main_v_state(s194, c_busy) | (~m_main_v_request(s193))),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[15984, 15983])).
% 4.86/4.36 tff(15986,plain,
% 4.86/4.36 ((~m_main_v_state(s193, c_ready)) | m_main_v_state(s194, c_busy) | (~m_main_v_request(s193))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[15985, 166, 15982])).
% 4.86/4.36 tff(15987,plain,
% 4.86/4.36 ($false),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[15986, 15978, 15968, 15965])).
% 4.86/4.36 tff(15988,plain,((~node4(s193)) | node1(s192)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.36 tff(15989,plain,
% 4.86/4.36 (node1(s192)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[15988, 15961])).
% 4.86/4.36 tff(15990,plain,
% 4.86/4.36 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s192, c_ready) | (~node1(s192)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s192, c_ready) | (~node1(s192)))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(15991,plain,
% 4.86/4.36 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s192, c_ready) | (~node1(s192)))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(15992,plain,
% 4.86/4.36 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s192, c_ready) | (~node1(s192))),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[15991, 15990])).
% 4.86/4.36 tff(15993,plain,
% 4.86/4.36 (m_main_v_state(s192, c_ready)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[15992, 2265, 15989])).
% 4.86/4.36 tff(15994,plain,
% 4.86/4.36 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s192) | (~node1(s192)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s192) | (~node1(s192)))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(15995,plain,
% 4.86/4.36 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s192) | (~node1(s192)))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(15996,plain,
% 4.86/4.36 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s192) | (~node1(s192))),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[15995, 15994])).
% 4.86/4.36 tff(15997,plain,
% 4.86/4.36 (m_main_v_request(s192)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[15996, 2276, 15989])).
% 4.86/4.36 tff(15998,plain,
% 4.86/4.36 (m_main_v_state(s193, c_busy)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[3638, 15997, 15993])).
% 4.86/4.36 tff(15999,plain,
% 4.86/4.36 ($false),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[3629, 145, 15966, 15998])).
% 4.86/4.36 tff(16000,plain,(~node4(s193)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.36 tff(16001,plain,
% 4.86/4.36 (xuntil2p8(s193) | (~until2p7(s193))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8394, 8293, 16000])).
% 4.86/4.36 tff(16002,plain,
% 4.86/4.36 (~until2p7(s193)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16001, 15960])).
% 4.86/4.36 tff(16003,plain,
% 4.86/4.36 (~xuntil2p8(s192)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8400, 16002])).
% 4.86/4.36 tff(16004,plain,
% 4.86/4.36 (~until2p7(s192)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8405, 16003])).
% 4.86/4.36 tff(16005,plain,
% 4.86/4.36 (~xuntil2p8(s191)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8410, 16004])).
% 4.86/4.36 tff(16006,plain,
% 4.86/4.36 (~until2p7(s191)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8438, 16005])).
% 4.86/4.36 tff(16007,plain,
% 4.86/4.36 (~xuntil2p8(s190)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8443, 16006])).
% 4.86/4.36 tff(16008,plain,
% 4.86/4.36 (~until2p7(s190)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8448, 16007])).
% 4.86/4.36 tff(16009,plain,
% 4.86/4.36 (~xuntil2p8(s189)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8453, 16008])).
% 4.86/4.36 tff(16010,assumption,(node4(s189)), introduced(assumption)).
% 4.86/4.36 tff(16011,plain,
% 4.86/4.36 (((~![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)))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(16012,plain,
% 4.86/4.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s189) | (~node4(s189)))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(16013,plain,
% 4.86/4.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s189) | (~node4(s189))),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[16012, 16011])).
% 4.86/4.36 tff(16014,plain,
% 4.86/4.36 (m_main_v_request(s189)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16013, 63, 16010])).
% 4.86/4.36 tff(16015,plain,
% 4.86/4.36 (always3(s189)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[3378, 113, 16010])).
% 4.86/4.36 tff(16016,plain,
% 4.86/4.36 (always3(s190)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[3374, 16015])).
% 4.86/4.36 tff(16017,plain,
% 4.86/4.36 (~m_main_v_state(s190, c_busy)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[3709, 145, 16016])).
% 4.86/4.36 tff(16018,plain,
% 4.86/4.36 (((~![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))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(16019,plain,
% 4.86/4.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s189, s190)) | node2(s189, s190))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(16020,plain,
% 4.86/4.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s189, s190)) | node2(s189, s190)),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[16019, 16018])).
% 4.86/4.36 tff(16021,plain,
% 4.86/4.36 (node2(s189, s190)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16020, 7, 3370])).
% 4.86/4.36 tff(16022,plain,
% 4.86/4.36 (((~![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(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)))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(16023,plain,
% 4.86/4.36 ((~![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(s189, c_ready)) | (~node2(s189, s190)) | m_main_v_state(s190, c_busy) | (~m_main_v_request(s189)))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(16024,plain,
% 4.86/4.36 ((~![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(s189, c_ready)) | (~node2(s189, s190)) | m_main_v_state(s190, c_busy) | (~m_main_v_request(s189))),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[16023, 16022])).
% 4.86/4.36 tff(16025,plain,
% 4.86/4.36 ((~m_main_v_state(s189, c_ready)) | m_main_v_state(s190, c_busy) | (~m_main_v_request(s189))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16024, 166, 16021])).
% 4.86/4.36 tff(16026,plain,
% 4.86/4.36 (~m_main_v_state(s189, c_ready)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16025, 16017, 16014])).
% 4.86/4.36 tff(16027,plain,
% 4.86/4.36 (~m_main_v_state(s189, c_busy)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[3767, 145, 16015])).
% 4.86/4.36 tff(16028,plain,
% 4.86/4.36 (((~![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))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(16029,plain,
% 4.86/4.36 ((~![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))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(16030,plain,
% 4.86/4.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s189, c_busy) | m_main_v_state(s189, c_ready)),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[16029, 16028])).
% 4.86/4.36 tff(16031,plain,
% 4.86/4.36 ($false),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16030, 188, 16027, 16026])).
% 4.86/4.36 tff(16032,plain,(~node4(s189)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.36 tff(16033,plain,
% 4.86/4.36 (xuntil2p8(s189) | (~until2p7(s189))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8457, 8293, 16032])).
% 4.86/4.36 tff(16034,plain,
% 4.86/4.36 (~until2p7(s189)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16033, 16009])).
% 4.86/4.36 tff(16035,plain,
% 4.86/4.36 (~xuntil2p8(s188)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8463, 16034])).
% 4.86/4.36 tff(16036,plain,
% 4.86/4.36 (~until2p7(s188)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8468, 16035])).
% 4.86/4.36 tff(16037,plain,
% 4.86/4.36 (~xuntil2p8(s187)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8473, 16036])).
% 4.86/4.36 tff(16038,assumption,(node4(s187)), introduced(assumption)).
% 4.86/4.36 tff(16039,plain,
% 4.86/4.36 (((~![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)))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(16040,plain,
% 4.86/4.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s187) | (~node4(s187)))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(16041,plain,
% 4.86/4.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s187) | (~node4(s187))),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[16040, 16039])).
% 4.86/4.36 tff(16042,plain,
% 4.86/4.36 (m_main_v_request(s187)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16041, 63, 16038])).
% 4.86/4.36 tff(16043,plain,
% 4.86/4.36 (always3(s187)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8199, 113, 16038])).
% 4.86/4.36 tff(16044,plain,
% 4.86/4.36 (always3(s188)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[3809, 16043])).
% 4.86/4.36 tff(16045,plain,
% 4.86/4.36 (~m_main_v_state(s188, c_busy)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[3783, 145, 16044])).
% 4.86/4.36 tff(16046,plain,
% 4.86/4.36 (~m_main_v_state(s187, c_busy)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8498, 145, 16043])).
% 4.86/4.36 tff(16047,assumption,(~m_main_v_state(s187, c_busy)), introduced(assumption)).
% 4.86/4.36 tff(16048,assumption,(~m_main_v_state(s187, c_ready)), introduced(assumption)).
% 4.86/4.36 tff(16049,plain,
% 4.86/4.36 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s186, s187)) | m_main_v_state(s187, c_busy) | node1(s186) | m_main_v_state(s187, 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(s186, s187)) | m_main_v_state(s187, c_busy) | node1(s186) | m_main_v_state(s187, c_ready))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(16050,plain,
% 4.86/4.36 ((node1(s186) | m_main_v_state(s187, c_ready) | (~node2(s186, s187)) | m_main_v_state(s187, c_busy)) <=> ((~node2(s186, s187)) | m_main_v_state(s187, c_busy) | node1(s186) | m_main_v_state(s187, c_ready))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(16051,plain,
% 4.86/4.36 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s186) | m_main_v_state(s187, c_ready) | (~node2(s186, s187)) | m_main_v_state(s187, 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(s186, s187)) | m_main_v_state(s187, c_busy) | node1(s186) | m_main_v_state(s187, c_ready)))),
% 4.86/4.36 inference(monotonicity,[status(thm)],[16050])).
% 4.86/4.36 tff(16052,plain,
% 4.86/4.36 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s186) | m_main_v_state(s187, c_ready) | (~node2(s186, s187)) | m_main_v_state(s187, 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(s186, s187)) | m_main_v_state(s187, c_busy) | node1(s186) | m_main_v_state(s187, c_ready))),
% 4.86/4.36 inference(transitivity,[status(thm)],[16051, 16049])).
% 4.86/4.36 tff(16053,plain,
% 4.86/4.36 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s186) | m_main_v_state(s187, c_ready) | (~node2(s186, s187)) | m_main_v_state(s187, c_busy))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(16054,plain,
% 4.86/4.36 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s186, s187)) | m_main_v_state(s187, c_busy) | node1(s186) | m_main_v_state(s187, c_ready)),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[16053, 16052])).
% 4.86/4.36 tff(16055,plain,
% 4.86/4.36 (m_main_v_state(s187, c_busy) | node1(s186) | m_main_v_state(s187, c_ready)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16054, 2250, 8503])).
% 4.86/4.36 tff(16056,plain,
% 4.86/4.36 (node1(s186)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16055, 16047, 16048])).
% 4.86/4.36 tff(16057,plain,
% 4.86/4.36 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s186, c_ready) | (~node1(s186)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s186, c_ready) | (~node1(s186)))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(16058,plain,
% 4.86/4.36 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s186, c_ready) | (~node1(s186)))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(16059,plain,
% 4.86/4.36 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s186, c_ready) | (~node1(s186))),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[16058, 16057])).
% 4.86/4.36 tff(16060,plain,
% 4.86/4.36 (m_main_v_state(s186, c_ready)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16059, 2265, 16056])).
% 4.86/4.36 tff(16061,plain,
% 4.86/4.36 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s186) | (~node1(s186)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s186) | (~node1(s186)))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(16062,plain,
% 4.86/4.36 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s186) | (~node1(s186)))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(16063,plain,
% 4.86/4.36 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s186) | (~node1(s186))),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[16062, 16061])).
% 4.86/4.36 tff(16064,plain,
% 4.86/4.36 (m_main_v_request(s186)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16063, 2276, 16056])).
% 4.86/4.36 tff(16065,plain,
% 4.86/4.36 ($false),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8507, 16064, 16060, 16047])).
% 4.86/4.36 tff(16066,plain,(m_main_v_state(s187, c_busy) | m_main_v_state(s187, c_ready)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.36 tff(16067,plain,
% 4.86/4.36 (m_main_v_state(s187, c_ready)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16066, 16046])).
% 4.86/4.36 tff(16068,plain,
% 4.86/4.36 (((~![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))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(16069,plain,
% 4.86/4.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s187, s188)) | node2(s187, s188))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(16070,plain,
% 4.86/4.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s187, s188)) | node2(s187, s188)),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[16069, 16068])).
% 4.86/4.36 tff(16071,plain,
% 4.86/4.36 (node2(s187, s188)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16070, 7, 3805])).
% 4.86/4.36 tff(16072,plain,
% 4.86/4.36 (((~![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(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)))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(16073,plain,
% 4.86/4.36 ((~![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(s187, c_ready)) | (~node2(s187, s188)) | m_main_v_state(s188, c_busy) | (~m_main_v_request(s187)))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(16074,plain,
% 4.86/4.36 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s187, c_ready)) | (~node2(s187, s188)) | m_main_v_state(s188, c_busy) | (~m_main_v_request(s187))),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[16073, 16072])).
% 4.86/4.36 tff(16075,plain,
% 4.86/4.36 ((~m_main_v_state(s187, c_ready)) | m_main_v_state(s188, c_busy) | (~m_main_v_request(s187))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16074, 166, 16071])).
% 4.86/4.36 tff(16076,plain,
% 4.86/4.36 ($false),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16075, 16067, 16045, 16042])).
% 4.86/4.36 tff(16077,plain,(~node4(s187)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.36 tff(16078,plain,
% 4.86/4.36 (xuntil2p8(s187) | (~until2p7(s187))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8478, 8293, 16077])).
% 4.86/4.36 tff(16079,plain,
% 4.86/4.36 (~until2p7(s187)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16078, 16037])).
% 4.86/4.36 tff(16080,plain,
% 4.86/4.36 (~xuntil2p8(s186)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8484, 16079])).
% 4.86/4.36 tff(16081,plain,
% 4.86/4.36 (~until2p7(s186)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8524, 16080])).
% 4.86/4.36 tff(16082,plain,
% 4.86/4.36 (~xuntil2p8(s185)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8529, 16081])).
% 4.86/4.36 tff(16083,assumption,(node4(s185)), introduced(assumption)).
% 4.86/4.36 tff(16084,plain,
% 4.86/4.36 (((~![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)))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(16085,plain,
% 4.86/4.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s185) | (~node4(s185)))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(16086,plain,
% 4.86/4.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s185) | (~node4(s185))),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[16085, 16084])).
% 4.86/4.36 tff(16087,plain,
% 4.86/4.36 (m_main_v_request(s185)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16086, 63, 16083])).
% 4.86/4.36 tff(16088,plain,
% 4.86/4.36 (always3(s185)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8225, 113, 16083])).
% 4.86/4.36 tff(16089,plain,
% 4.86/4.36 (always3(s186)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[3833, 16088])).
% 4.86/4.36 tff(16090,plain,
% 4.86/4.36 (~m_main_v_state(s186, c_busy)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8514, 145, 16089])).
% 4.86/4.36 tff(16091,plain,
% 4.86/4.36 (~m_main_v_state(s185, c_busy)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8554, 145, 16088])).
% 4.86/4.36 tff(16092,assumption,(~m_main_v_state(s185, c_ready)), introduced(assumption)).
% 4.86/4.36 tff(16093,assumption,(~m_main_v_state(s185, c_busy)), introduced(assumption)).
% 4.86/4.36 tff(16094,plain,
% 4.86/4.36 (((~![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))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(16095,plain,
% 4.86/4.36 ((~![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))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(16096,plain,
% 4.86/4.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s185, c_busy) | m_main_v_state(s185, c_ready)),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[16095, 16094])).
% 4.86/4.36 tff(16097,plain,
% 4.86/4.36 ($false),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16096, 188, 16093, 16092])).
% 4.86/4.36 tff(16098,plain,(m_main_v_state(s185, c_ready) | m_main_v_state(s185, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.36 tff(16099,plain,
% 4.86/4.36 (m_main_v_state(s185, c_ready)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16098, 16091])).
% 4.86/4.36 tff(16100,plain,
% 4.86/4.36 (((~![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))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(16101,plain,
% 4.86/4.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s185, s186)) | node2(s185, s186))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(16102,plain,
% 4.86/4.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s185, s186)) | node2(s185, s186)),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[16101, 16100])).
% 4.86/4.36 tff(16103,plain,
% 4.86/4.36 (node2(s185, s186)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16102, 7, 3829])).
% 4.86/4.36 tff(16104,plain,
% 4.86/4.36 (((~![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(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)))),
% 4.86/4.36 inference(rewrite,[status(thm)],[])).
% 4.86/4.36 tff(16105,plain,
% 4.86/4.36 ((~![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(s185, c_ready)) | (~node2(s185, s186)) | m_main_v_state(s186, c_busy) | (~m_main_v_request(s185)))),
% 4.86/4.36 inference(quant_inst,[status(thm)],[])).
% 4.86/4.36 tff(16106,plain,
% 4.86/4.36 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s185, c_ready)) | (~node2(s185, s186)) | m_main_v_state(s186, c_busy) | (~m_main_v_request(s185))),
% 4.86/4.36 inference(modus_ponens,[status(thm)],[16105, 16104])).
% 4.86/4.36 tff(16107,plain,
% 4.86/4.36 ((~m_main_v_state(s185, c_ready)) | m_main_v_state(s186, c_busy) | (~m_main_v_request(s185))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16106, 166, 16103])).
% 4.86/4.36 tff(16108,plain,
% 4.86/4.36 ($false),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16107, 16099, 16090, 16087])).
% 4.86/4.36 tff(16109,plain,(~node4(s185)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.36 tff(16110,plain,
% 4.86/4.36 (xuntil2p8(s185) | (~until2p7(s185))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8534, 8293, 16109])).
% 4.86/4.36 tff(16111,plain,
% 4.86/4.36 (~until2p7(s185)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16110, 16082])).
% 4.86/4.36 tff(16112,plain,
% 4.86/4.36 (~xuntil2p8(s184)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[8540, 16111])).
% 4.86/4.36 tff(16113,plain,
% 4.86/4.36 (~until2p7(s184)),
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% 4.86/4.36 tff(16119,plain,
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% 4.86/4.36 tff(16125,plain,
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% 4.86/4.36 tff(16126,plain,
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% 4.86/4.36 tff(16127,plain,
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% 4.86/4.36 tff(16128,plain,
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% 4.86/4.36 tff(16129,plain,
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% 4.86/4.36 tff(16130,plain,
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% 4.86/4.36 tff(16131,plain,
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% 4.86/4.36 inference(unit_resolution,[status(thm)],[6244, 16130])).
% 4.86/4.36 tff(16132,plain,
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% 4.86/4.36 tff(16133,plain,
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% 4.86/4.36 tff(16134,plain,
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% 4.86/4.36 inference(unit_resolution,[status(thm)],[6280, 16133])).
% 4.86/4.36 tff(16135,plain,
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% 4.86/4.36 tff(16136,plain,
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% 4.86/4.36 inference(unit_resolution,[status(thm)],[6304, 16135])).
% 4.86/4.36 tff(16137,plain,
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% 4.86/4.36 inference(unit_resolution,[status(thm)],[6316, 16136])).
% 4.86/4.36 tff(16138,plain,
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% 4.86/4.36 tff(16140,plain,
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% 4.86/4.36 tff(16152,plain,
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% 4.86/4.36 inference(unit_resolution,[status(thm)],[3143, 16151])).
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% 4.86/4.36 tff(16155,plain,
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% 4.86/4.36 tff(16156,plain,
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% 4.86/4.36 inference(unit_resolution,[status(thm)],[2387, 16155])).
% 4.86/4.36 tff(16157,plain,
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% 4.86/4.36 inference(unit_resolution,[status(thm)],[2399, 16156])).
% 4.86/4.36 tff(16158,plain,
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% 4.86/4.36 inference(unit_resolution,[status(thm)],[2411, 16157])).
% 4.86/4.36 tff(16159,plain,
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% 4.86/4.36 inference(unit_resolution,[status(thm)],[2423, 16158])).
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% 4.86/4.36 tff(16161,plain,
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% 4.86/4.36 tff(16206,plain,
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% 4.86/4.36 tff(16210,plain,
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% 4.86/4.36 tff(16238,plain,
% 4.86/4.36 (xuntil6(s52)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16237, 16235])).
% 4.86/4.36 tff(16239,plain,
% 4.86/4.36 (until5(s53)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7268, 16238])).
% 4.86/4.36 tff(16240,plain,
% 4.86/4.36 (~node4(s53)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7272, 113, 16138])).
% 4.86/4.36 tff(16241,plain,
% 4.86/4.36 (xuntil6(s53) | (~until5(s53))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7279, 225, 16240])).
% 4.86/4.36 tff(16242,plain,
% 4.86/4.36 (xuntil6(s53)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16241, 16239])).
% 4.86/4.36 tff(16243,plain,
% 4.86/4.36 (until5(s54)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7285, 16242])).
% 4.86/4.36 tff(16244,plain,
% 4.86/4.36 (~node4(s54)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7289, 113, 16137])).
% 4.86/4.36 tff(16245,plain,
% 4.86/4.36 (xuntil6(s54) | (~until5(s54))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7296, 225, 16244])).
% 4.86/4.36 tff(16246,plain,
% 4.86/4.36 (xuntil6(s54)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16245, 16243])).
% 4.86/4.36 tff(16247,plain,
% 4.86/4.36 (until5(s55)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7302, 16246])).
% 4.86/4.36 tff(16248,plain,
% 4.86/4.36 (~node4(s55)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7306, 113, 16136])).
% 4.86/4.36 tff(16249,plain,
% 4.86/4.36 (xuntil6(s55) | (~until5(s55))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7313, 225, 16248])).
% 4.86/4.36 tff(16250,plain,
% 4.86/4.36 (xuntil6(s55)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16249, 16247])).
% 4.86/4.36 tff(16251,plain,
% 4.86/4.36 (until5(s56)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7319, 16250])).
% 4.86/4.36 tff(16252,plain,
% 4.86/4.36 (~node4(s56)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7323, 113, 16135])).
% 4.86/4.36 tff(16253,plain,
% 4.86/4.36 (xuntil6(s56) | (~until5(s56))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7330, 225, 16252])).
% 4.86/4.36 tff(16254,plain,
% 4.86/4.36 (xuntil6(s56)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16253, 16251])).
% 4.86/4.36 tff(16255,plain,
% 4.86/4.36 (until5(s57)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7336, 16254])).
% 4.86/4.36 tff(16256,plain,
% 4.86/4.36 (~node4(s57)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7340, 113, 16134])).
% 4.86/4.36 tff(16257,plain,
% 4.86/4.36 (xuntil6(s57) | (~until5(s57))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7347, 225, 16256])).
% 4.86/4.36 tff(16258,plain,
% 4.86/4.36 (xuntil6(s57)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16257, 16255])).
% 4.86/4.36 tff(16259,plain,
% 4.86/4.36 (until5(s58)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7353, 16258])).
% 4.86/4.36 tff(16260,plain,
% 4.86/4.36 (~node4(s58)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7357, 113, 16133])).
% 4.86/4.36 tff(16261,plain,
% 4.86/4.36 (xuntil6(s58) | (~until5(s58))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7364, 225, 16260])).
% 4.86/4.36 tff(16262,plain,
% 4.86/4.36 (xuntil6(s58)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16261, 16259])).
% 4.86/4.36 tff(16263,plain,
% 4.86/4.36 (until5(s59)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7370, 16262])).
% 4.86/4.36 tff(16264,plain,
% 4.86/4.36 (~node4(s59)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7374, 113, 16132])).
% 4.86/4.36 tff(16265,plain,
% 4.86/4.36 (xuntil6(s59) | (~until5(s59))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7381, 225, 16264])).
% 4.86/4.36 tff(16266,plain,
% 4.86/4.36 (xuntil6(s59)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16265, 16263])).
% 4.86/4.36 tff(16267,plain,
% 4.86/4.36 (until5(s60)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7387, 16266])).
% 4.86/4.36 tff(16268,plain,
% 4.86/4.36 (~node4(s60)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7391, 113, 16131])).
% 4.86/4.36 tff(16269,plain,
% 4.86/4.36 (xuntil6(s60) | (~until5(s60))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7398, 225, 16268])).
% 4.86/4.36 tff(16270,plain,
% 4.86/4.36 (xuntil6(s60)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16269, 16267])).
% 4.86/4.36 tff(16271,plain,
% 4.86/4.36 (until5(s61)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7404, 16270])).
% 4.86/4.36 tff(16272,plain,
% 4.86/4.36 (~node4(s61)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7408, 113, 16130])).
% 4.86/4.36 tff(16273,plain,
% 4.86/4.36 (xuntil6(s61) | (~until5(s61))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7415, 225, 16272])).
% 4.86/4.36 tff(16274,plain,
% 4.86/4.36 (xuntil6(s61)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16273, 16271])).
% 4.86/4.36 tff(16275,plain,
% 4.86/4.36 (until5(s62)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7421, 16274])).
% 4.86/4.36 tff(16276,plain,
% 4.86/4.36 (~node4(s62)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7425, 113, 16129])).
% 4.86/4.36 tff(16277,plain,
% 4.86/4.36 (xuntil6(s62) | (~until5(s62))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7432, 225, 16276])).
% 4.86/4.36 tff(16278,plain,
% 4.86/4.36 (xuntil6(s62)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16277, 16275])).
% 4.86/4.36 tff(16279,plain,
% 4.86/4.36 (until5(s63)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7438, 16278])).
% 4.86/4.36 tff(16280,plain,
% 4.86/4.36 (~node4(s63)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7442, 113, 16128])).
% 4.86/4.36 tff(16281,plain,
% 4.86/4.36 (xuntil6(s63) | (~until5(s63))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7449, 225, 16280])).
% 4.86/4.36 tff(16282,plain,
% 4.86/4.36 (xuntil6(s63)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16281, 16279])).
% 4.86/4.36 tff(16283,plain,
% 4.86/4.36 (until5(s64)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7455, 16282])).
% 4.86/4.36 tff(16284,plain,
% 4.86/4.36 (~node4(s64)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7459, 113, 16127])).
% 4.86/4.36 tff(16285,plain,
% 4.86/4.36 (xuntil6(s64) | (~until5(s64))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7466, 225, 16284])).
% 4.86/4.36 tff(16286,plain,
% 4.86/4.36 (xuntil6(s64)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16285, 16283])).
% 4.86/4.36 tff(16287,plain,
% 4.86/4.36 (until5(s65)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7472, 16286])).
% 4.86/4.36 tff(16288,plain,
% 4.86/4.36 (~node4(s65)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7476, 113, 16126])).
% 4.86/4.36 tff(16289,plain,
% 4.86/4.36 (xuntil6(s65) | (~until5(s65))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7483, 225, 16288])).
% 4.86/4.36 tff(16290,plain,
% 4.86/4.36 (xuntil6(s65)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16289, 16287])).
% 4.86/4.36 tff(16291,plain,
% 4.86/4.36 (until5(s66)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7489, 16290])).
% 4.86/4.36 tff(16292,plain,
% 4.86/4.36 (~node4(s66)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7493, 113, 16125])).
% 4.86/4.36 tff(16293,plain,
% 4.86/4.36 (xuntil6(s66) | (~until5(s66))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7500, 225, 16292])).
% 4.86/4.36 tff(16294,plain,
% 4.86/4.36 (xuntil6(s66)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16293, 16291])).
% 4.86/4.36 tff(16295,plain,
% 4.86/4.36 (until5(s67)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7506, 16294])).
% 4.86/4.36 tff(16296,plain,
% 4.86/4.36 (~node4(s67)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7510, 113, 16124])).
% 4.86/4.36 tff(16297,plain,
% 4.86/4.36 (xuntil6(s67) | (~until5(s67))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7517, 225, 16296])).
% 4.86/4.36 tff(16298,plain,
% 4.86/4.36 (xuntil6(s67)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16297, 16295])).
% 4.86/4.36 tff(16299,plain,
% 4.86/4.36 (until5(s68)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7523, 16298])).
% 4.86/4.36 tff(16300,plain,
% 4.86/4.36 (~node4(s68)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7527, 113, 16123])).
% 4.86/4.36 tff(16301,plain,
% 4.86/4.36 (xuntil6(s68) | (~until5(s68))),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[7534, 225, 16300])).
% 4.86/4.36 tff(16302,plain,
% 4.86/4.36 (xuntil6(s68)),
% 4.86/4.36 inference(unit_resolution,[status(thm)],[16301, 16299])).
% 4.86/4.36 tff(16303,plain,
% 4.86/4.36 (until5(s69)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[7540, 16302])).
% 4.86/4.37 tff(16304,plain,
% 4.86/4.37 (~node4(s69)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[7544, 113, 16122])).
% 4.86/4.37 tff(16305,plain,
% 4.86/4.37 (xuntil6(s69) | (~until5(s69))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[7551, 225, 16304])).
% 4.86/4.37 tff(16306,plain,
% 4.86/4.37 (xuntil6(s69)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16305, 16303])).
% 4.86/4.37 tff(16307,plain,
% 4.86/4.37 (until5(s70)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[7557, 16306])).
% 4.86/4.37 tff(16308,plain,
% 4.86/4.37 (~node4(s70)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[7561, 113, 16121])).
% 4.86/4.37 tff(16309,plain,
% 4.86/4.37 (xuntil6(s70) | (~until5(s70))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[7568, 225, 16308])).
% 4.86/4.37 tff(16310,plain,
% 4.86/4.37 (xuntil6(s70)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16309, 16307])).
% 4.86/4.37 tff(16311,plain,
% 4.86/4.37 (until5(s71)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[7574, 16310])).
% 4.86/4.37 tff(16312,plain,
% 4.86/4.37 (~node4(s71)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[7578, 113, 16120])).
% 4.86/4.37 tff(16313,plain,
% 4.86/4.37 (xuntil6(s71) | (~until5(s71))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[7585, 225, 16312])).
% 4.86/4.37 tff(16314,plain,
% 4.86/4.37 (xuntil6(s71)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16313, 16311])).
% 4.86/4.37 tff(16315,plain,
% 4.86/4.37 (until5(s72)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[7049, 16314])).
% 4.86/4.37 tff(16316,plain,
% 4.86/4.37 (~node4(s72)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[7036, 113, 16119])).
% 4.86/4.37 tff(16317,plain,
% 4.86/4.37 (xuntil6(s72) | (~until5(s72))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[7043, 225, 16316])).
% 4.86/4.37 tff(16318,plain,
% 4.86/4.37 (xuntil6(s72)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16317, 16315])).
% 4.86/4.37 tff(16319,plain,
% 4.86/4.37 (until5(s73)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[7031, 16318])).
% 4.86/4.37 tff(16320,plain,
% 4.86/4.37 (~node4(s73)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[7018, 113, 16118])).
% 4.86/4.37 tff(16321,plain,
% 4.86/4.37 (xuntil6(s73) | (~until5(s73))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[7025, 225, 16320])).
% 4.86/4.37 tff(16322,plain,
% 4.86/4.37 (xuntil6(s73)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16321, 16319])).
% 4.86/4.37 tff(16323,plain,
% 4.86/4.37 (until5(s74)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[7013, 16322])).
% 4.86/4.37 tff(16324,plain,
% 4.86/4.37 (~node4(s74)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[7000, 113, 16117])).
% 4.86/4.37 tff(16325,plain,
% 4.86/4.37 (xuntil6(s74) | (~until5(s74))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[7007, 225, 16324])).
% 4.86/4.37 tff(16326,plain,
% 4.86/4.37 (xuntil6(s74)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16325, 16323])).
% 4.86/4.37 tff(16327,plain,
% 4.86/4.37 (until5(s75)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6995, 16326])).
% 4.86/4.37 tff(16328,assumption,(until5(s75)), introduced(assumption)).
% 4.86/4.37 tff(16329,assumption,(~xuntil6(s88)), introduced(assumption)).
% 4.86/4.37 tff(16330,assumption,(~always3(s88)), introduced(assumption)).
% 4.86/4.37 tff(16331,plain,
% 4.86/4.37 (~always3(s87)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[5920, 16330])).
% 4.86/4.37 tff(16332,plain,
% 4.86/4.37 (~always3(s86)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[5932, 16331])).
% 4.86/4.37 tff(16333,plain,
% 4.86/4.37 (~always3(s85)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[5944, 16332])).
% 4.86/4.37 tff(16334,plain,
% 4.86/4.37 (~always3(s84)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[5956, 16333])).
% 4.86/4.37 tff(16335,plain,
% 4.86/4.37 (~node4(s84)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6820, 113, 16334])).
% 4.86/4.37 tff(16336,plain,
% 4.86/4.37 (~node4(s88)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6748, 113, 16330])).
% 4.86/4.37 tff(16337,plain,
% 4.86/4.37 (node4(s88) | (~until5(s88))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6755, 225, 16329])).
% 4.86/4.37 tff(16338,plain,
% 4.86/4.37 (~until5(s88)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16337, 16336])).
% 4.86/4.37 tff(16339,plain,
% 4.86/4.37 (~xuntil6(s87)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6761, 16338])).
% 4.86/4.37 tff(16340,assumption,(~always3(s87)), introduced(assumption)).
% 4.86/4.37 tff(16341,plain,
% 4.86/4.37 (~always3(s86)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[5932, 16340])).
% 4.86/4.37 tff(16342,plain,
% 4.86/4.37 (~node4(s86)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6784, 113, 16341])).
% 4.86/4.37 tff(16343,plain,
% 4.86/4.37 (~node4(s87)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6766, 113, 16340])).
% 4.86/4.37 tff(16344,assumption,(~xuntil6(s87)), introduced(assumption)).
% 4.86/4.37 tff(16345,plain,
% 4.86/4.37 (node4(s87) | (~until5(s87))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6773, 225, 16344])).
% 4.86/4.37 tff(16346,plain,
% 4.86/4.37 (~until5(s87)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16345, 16343])).
% 4.86/4.37 tff(16347,plain,
% 4.86/4.37 (~xuntil6(s86)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6779, 16346])).
% 4.86/4.37 tff(16348,plain,
% 4.86/4.37 (~always3(s85)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[5944, 16341])).
% 4.86/4.37 tff(16349,plain,
% 4.86/4.37 (~node4(s85)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6802, 113, 16348])).
% 4.86/4.37 tff(16350,assumption,(until5(s85)), introduced(assumption)).
% 4.86/4.37 tff(16351,plain,
% 4.86/4.37 (xuntil6(s85) | node4(s85)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6809, 225, 16350])).
% 4.86/4.37 tff(16352,plain,
% 4.86/4.37 (xuntil6(s85)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16351, 16349])).
% 4.86/4.37 tff(16353,plain,
% 4.86/4.37 (until5(s86)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6797, 16352])).
% 4.86/4.37 tff(16354,plain,
% 4.86/4.37 ($false),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6791, 225, 16353, 16347, 16342])).
% 4.86/4.37 tff(16355,plain,(always3(s87) | (~until5(s85)) | xuntil6(s87)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.37 tff(16356,plain,
% 4.86/4.37 (~until5(s85)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16355, 16339, 16331])).
% 4.86/4.37 tff(16357,plain,
% 4.86/4.37 (~xuntil6(s84)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6815, 16356])).
% 4.86/4.37 tff(16358,plain,
% 4.86/4.37 (~until5(s84)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6827, 225, 16357, 16335])).
% 4.86/4.37 tff(16359,plain,
% 4.86/4.37 (~xuntil6(s83)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6833, 16358])).
% 4.86/4.37 tff(16360,plain,
% 4.86/4.37 (~always3(s83)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[5968, 16334])).
% 4.86/4.37 tff(16361,plain,
% 4.86/4.37 (~node4(s83)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6838, 113, 16360])).
% 4.86/4.37 tff(16362,plain,
% 4.86/4.37 (xuntil6(s83) | (~until5(s83))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6845, 225, 16361])).
% 4.86/4.37 tff(16363,plain,
% 4.86/4.37 (~until5(s83)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16362, 16359])).
% 4.86/4.37 tff(16364,plain,
% 4.86/4.37 (~xuntil6(s82)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6851, 16363])).
% 4.86/4.37 tff(16365,plain,
% 4.86/4.37 (~always3(s82)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[5980, 16360])).
% 4.86/4.37 tff(16366,plain,
% 4.86/4.37 (~node4(s82)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6856, 113, 16365])).
% 4.86/4.37 tff(16367,plain,
% 4.86/4.37 (xuntil6(s82) | (~until5(s82))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6863, 225, 16366])).
% 4.86/4.37 tff(16368,plain,
% 4.86/4.37 (~until5(s82)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16367, 16364])).
% 4.86/4.37 tff(16369,plain,
% 4.86/4.37 (~xuntil6(s81)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6869, 16368])).
% 4.86/4.37 tff(16370,plain,
% 4.86/4.37 (~always3(s81)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[5992, 16365])).
% 4.86/4.37 tff(16371,plain,
% 4.86/4.37 (~node4(s81)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6874, 113, 16370])).
% 4.86/4.37 tff(16372,plain,
% 4.86/4.37 (xuntil6(s81) | (~until5(s81))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6881, 225, 16371])).
% 4.86/4.37 tff(16373,plain,
% 4.86/4.37 (~until5(s81)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16372, 16369])).
% 4.86/4.37 tff(16374,plain,
% 4.86/4.37 (~xuntil6(s80)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6887, 16373])).
% 4.86/4.37 tff(16375,plain,
% 4.86/4.37 (~always3(s80)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6004, 16370])).
% 4.86/4.37 tff(16376,plain,
% 4.86/4.37 (~always3(s79)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6016, 16375])).
% 4.86/4.37 tff(16377,plain,
% 4.86/4.37 (~always3(s78)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6028, 16376])).
% 4.86/4.37 tff(16378,plain,
% 4.86/4.37 (~always3(s77)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6040, 16377])).
% 4.86/4.37 tff(16379,plain,
% 4.86/4.37 (~always3(s76)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6052, 16378])).
% 4.86/4.37 tff(16380,plain,
% 4.86/4.37 (~node4(s76)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6964, 113, 16379])).
% 4.86/4.37 tff(16381,plain,
% 4.86/4.37 (~always3(s75)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6064, 16379])).
% 4.86/4.37 tff(16382,plain,
% 4.86/4.37 (~node4(s75)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6982, 113, 16381])).
% 4.86/4.37 tff(16383,plain,
% 4.86/4.37 (xuntil6(s75) | node4(s75)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6989, 225, 16328])).
% 4.86/4.37 tff(16384,plain,
% 4.86/4.37 (xuntil6(s75)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16383, 16382])).
% 4.86/4.37 tff(16385,plain,
% 4.86/4.37 (until5(s76)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6977, 16384])).
% 4.86/4.37 tff(16386,plain,
% 4.86/4.37 (xuntil6(s76)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6971, 225, 16385, 16380])).
% 4.86/4.37 tff(16387,plain,
% 4.86/4.37 (until5(s77)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6959, 16386])).
% 4.86/4.37 tff(16388,plain,
% 4.86/4.37 (~node4(s77)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6946, 113, 16378])).
% 4.86/4.37 tff(16389,plain,
% 4.86/4.37 (xuntil6(s77) | (~until5(s77))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6953, 225, 16388])).
% 4.86/4.37 tff(16390,plain,
% 4.86/4.37 (xuntil6(s77)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16389, 16387])).
% 4.86/4.37 tff(16391,plain,
% 4.86/4.37 (until5(s78)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6941, 16390])).
% 4.86/4.37 tff(16392,plain,
% 4.86/4.37 (~node4(s78)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6928, 113, 16377])).
% 4.86/4.37 tff(16393,plain,
% 4.86/4.37 (xuntil6(s78) | (~until5(s78))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6935, 225, 16392])).
% 4.86/4.37 tff(16394,plain,
% 4.86/4.37 (xuntil6(s78)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16393, 16391])).
% 4.86/4.37 tff(16395,plain,
% 4.86/4.37 (until5(s79)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6923, 16394])).
% 4.86/4.37 tff(16396,plain,
% 4.86/4.37 (~node4(s79)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6910, 113, 16376])).
% 4.86/4.37 tff(16397,plain,
% 4.86/4.37 (xuntil6(s79) | (~until5(s79))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6917, 225, 16396])).
% 4.86/4.37 tff(16398,plain,
% 4.86/4.37 (xuntil6(s79)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16397, 16395])).
% 4.86/4.37 tff(16399,plain,
% 4.86/4.37 (until5(s80)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6905, 16398])).
% 4.86/4.37 tff(16400,plain,
% 4.86/4.37 (~node4(s80)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6892, 113, 16375])).
% 4.86/4.37 tff(16401,plain,
% 4.86/4.37 (xuntil6(s80) | (~until5(s80))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6899, 225, 16400])).
% 4.86/4.37 tff(16402,plain,
% 4.86/4.37 ($false),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16401, 16399, 16374])).
% 4.86/4.37 tff(16403,plain,(always3(s88) | (~until5(s75)) | xuntil6(s88)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.37 tff(16404,plain,
% 4.86/4.37 (always3(s88)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16403, 16329, 16328])).
% 4.86/4.37 tff(16405,plain,
% 4.86/4.37 (always3(s89)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[5908, 16404])).
% 4.86/4.37 tff(16406,plain,
% 4.86/4.37 (((~![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)))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16407,plain,
% 4.86/4.37 (((~m_main_v_state(s89, c_busy)) | (~always3(s89))) <=> ((~always3(s89)) | (~m_main_v_state(s89, c_busy)))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16408,plain,
% 4.86/4.37 (((~![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))))),
% 4.86/4.37 inference(monotonicity,[status(thm)],[16407])).
% 4.86/4.37 tff(16409,plain,
% 4.86/4.37 (((~![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)))),
% 4.86/4.37 inference(transitivity,[status(thm)],[16408, 16406])).
% 4.86/4.37 tff(16410,plain,
% 4.86/4.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s89, c_busy)) | (~always3(s89)))),
% 4.86/4.37 inference(quant_inst,[status(thm)],[])).
% 4.86/4.37 tff(16411,plain,
% 4.86/4.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s89)) | (~m_main_v_state(s89, c_busy))),
% 4.86/4.37 inference(modus_ponens,[status(thm)],[16410, 16409])).
% 4.86/4.37 tff(16412,plain,
% 4.86/4.37 (~m_main_v_state(s89, c_busy)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16411, 145, 16405])).
% 4.86/4.37 tff(16413,assumption,(~xuntil6(s84)), introduced(assumption)).
% 4.86/4.37 tff(16414,assumption,(~always3(s84)), introduced(assumption)).
% 4.86/4.37 tff(16415,plain,
% 4.86/4.37 (~always3(s83)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[5968, 16414])).
% 4.86/4.37 tff(16416,plain,
% 4.86/4.37 (~node4(s83)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6838, 113, 16415])).
% 4.86/4.37 tff(16417,plain,
% 4.86/4.37 (~node4(s84)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6820, 113, 16414])).
% 4.86/4.37 tff(16418,plain,
% 4.86/4.37 (node4(s84) | (~until5(s84))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6827, 225, 16413])).
% 4.86/4.37 tff(16419,plain,
% 4.86/4.37 (~until5(s84)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16418, 16417])).
% 4.86/4.37 tff(16420,plain,
% 4.86/4.37 (~xuntil6(s83)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6833, 16419])).
% 4.86/4.37 tff(16421,plain,
% 4.86/4.37 (~until5(s83)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6845, 225, 16420, 16416])).
% 4.86/4.37 tff(16422,plain,
% 4.86/4.37 (~xuntil6(s82)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6851, 16421])).
% 4.86/4.37 tff(16423,plain,
% 4.86/4.37 (~always3(s82)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[5980, 16415])).
% 4.86/4.37 tff(16424,plain,
% 4.86/4.37 (~node4(s82)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6856, 113, 16423])).
% 4.86/4.37 tff(16425,plain,
% 4.86/4.37 (xuntil6(s82) | (~until5(s82))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6863, 225, 16424])).
% 4.86/4.37 tff(16426,plain,
% 4.86/4.37 (~until5(s82)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16425, 16422])).
% 4.86/4.37 tff(16427,plain,
% 4.86/4.37 (~xuntil6(s81)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6869, 16426])).
% 4.86/4.37 tff(16428,plain,
% 4.86/4.37 (~always3(s81)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[5992, 16423])).
% 4.86/4.37 tff(16429,plain,
% 4.86/4.37 (~node4(s81)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6874, 113, 16428])).
% 4.86/4.37 tff(16430,plain,
% 4.86/4.37 (xuntil6(s81) | (~until5(s81))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6881, 225, 16429])).
% 4.86/4.37 tff(16431,plain,
% 4.86/4.37 (~until5(s81)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16430, 16427])).
% 4.86/4.37 tff(16432,plain,
% 4.86/4.37 (~xuntil6(s80)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6887, 16431])).
% 4.86/4.37 tff(16433,plain,
% 4.86/4.37 (~always3(s80)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6004, 16428])).
% 4.86/4.37 tff(16434,plain,
% 4.86/4.37 (~node4(s80)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6892, 113, 16433])).
% 4.86/4.37 tff(16435,plain,
% 4.86/4.37 (xuntil6(s80) | (~until5(s80))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6899, 225, 16434])).
% 4.86/4.37 tff(16436,plain,
% 4.86/4.37 (~until5(s80)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16435, 16432])).
% 4.86/4.37 tff(16437,plain,
% 4.86/4.37 (~always3(s79)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6016, 16433])).
% 4.86/4.37 tff(16438,plain,
% 4.86/4.37 (~always3(s78)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6028, 16437])).
% 4.86/4.37 tff(16439,plain,
% 4.86/4.37 (~always3(s77)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6040, 16438])).
% 4.86/4.37 tff(16440,plain,
% 4.86/4.37 (~always3(s76)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6052, 16439])).
% 4.86/4.37 tff(16441,plain,
% 4.86/4.37 (~node4(s76)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6964, 113, 16440])).
% 4.86/4.37 tff(16442,plain,
% 4.86/4.37 (~always3(s75)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6064, 16440])).
% 4.86/4.37 tff(16443,plain,
% 4.86/4.37 (~node4(s75)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6982, 113, 16442])).
% 4.86/4.37 tff(16444,plain,
% 4.86/4.37 (xuntil6(s75)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16383, 16443])).
% 4.86/4.37 tff(16445,plain,
% 4.86/4.37 (until5(s76)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6977, 16444])).
% 4.86/4.37 tff(16446,plain,
% 4.86/4.37 (xuntil6(s76)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6971, 225, 16445, 16441])).
% 4.86/4.37 tff(16447,plain,
% 4.86/4.37 (until5(s77)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6959, 16446])).
% 4.86/4.37 tff(16448,plain,
% 4.86/4.37 (~node4(s77)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6946, 113, 16439])).
% 4.86/4.37 tff(16449,plain,
% 4.86/4.37 (xuntil6(s77) | (~until5(s77))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6953, 225, 16448])).
% 4.86/4.37 tff(16450,plain,
% 4.86/4.37 (xuntil6(s77)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16449, 16447])).
% 4.86/4.37 tff(16451,plain,
% 4.86/4.37 (until5(s78)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6941, 16450])).
% 4.86/4.37 tff(16452,plain,
% 4.86/4.37 (~node4(s78)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6928, 113, 16438])).
% 4.86/4.37 tff(16453,plain,
% 4.86/4.37 (xuntil6(s78) | (~until5(s78))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6935, 225, 16452])).
% 4.86/4.37 tff(16454,plain,
% 4.86/4.37 (xuntil6(s78)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16453, 16451])).
% 4.86/4.37 tff(16455,plain,
% 4.86/4.37 (until5(s79)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6923, 16454])).
% 4.86/4.37 tff(16456,plain,
% 4.86/4.37 (~node4(s79)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6910, 113, 16437])).
% 4.86/4.37 tff(16457,plain,
% 4.86/4.37 (xuntil6(s79) | (~until5(s79))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6917, 225, 16456])).
% 4.86/4.37 tff(16458,plain,
% 4.86/4.37 (xuntil6(s79)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16457, 16455])).
% 4.86/4.37 tff(16459,plain,
% 4.86/4.37 ($false),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6905, 16458, 16436])).
% 4.86/4.37 tff(16460,plain,(always3(s84) | (~until5(s75)) | xuntil6(s84)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.37 tff(16461,plain,
% 4.86/4.37 (always3(s84)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16460, 16413, 16328])).
% 4.86/4.37 tff(16462,plain,
% 4.86/4.37 (always3(s85)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[5956, 16461])).
% 4.86/4.37 tff(16463,plain,
% 4.86/4.37 (~m_main_v_state(s85, c_busy)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[10228, 145, 16462])).
% 4.86/4.37 tff(16464,plain,
% 4.86/4.37 (((~![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)))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16465,plain,
% 4.86/4.37 (((~m_main_v_state(s84, c_busy)) | (~always3(s84))) <=> ((~always3(s84)) | (~m_main_v_state(s84, c_busy)))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16466,plain,
% 4.86/4.37 (((~![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))))),
% 4.86/4.37 inference(monotonicity,[status(thm)],[16465])).
% 4.86/4.37 tff(16467,plain,
% 4.86/4.37 (((~![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)))),
% 4.86/4.37 inference(transitivity,[status(thm)],[16466, 16464])).
% 4.86/4.37 tff(16468,plain,
% 4.86/4.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s84, c_busy)) | (~always3(s84)))),
% 4.86/4.37 inference(quant_inst,[status(thm)],[])).
% 4.86/4.37 tff(16469,plain,
% 4.86/4.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s84)) | (~m_main_v_state(s84, c_busy))),
% 4.86/4.37 inference(modus_ponens,[status(thm)],[16468, 16467])).
% 4.86/4.37 tff(16470,plain,
% 4.86/4.37 (~m_main_v_state(s84, c_busy)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16469, 145, 16461])).
% 4.86/4.37 tff(16471,plain,
% 4.86/4.37 (((~![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))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16472,plain,
% 4.86/4.37 ((~![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))),
% 4.86/4.37 inference(quant_inst,[status(thm)],[])).
% 4.86/4.37 tff(16473,plain,
% 4.86/4.37 ((~![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)),
% 4.86/4.37 inference(modus_ponens,[status(thm)],[16472, 16471])).
% 4.86/4.37 tff(16474,plain,
% 4.86/4.37 (m_main_v_state(s84, c_ready)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16473, 188, 16470])).
% 4.86/4.37 tff(16475,assumption,(~m_main_v_state(s84, c_busy)), introduced(assumption)).
% 4.86/4.37 tff(16476,assumption,(node4(s83)), introduced(assumption)).
% 4.86/4.37 tff(16477,plain,
% 4.86/4.37 (((~![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)))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16478,plain,
% 4.86/4.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s83) | (~node4(s83)))),
% 4.86/4.37 inference(quant_inst,[status(thm)],[])).
% 4.86/4.37 tff(16479,plain,
% 4.86/4.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s83) | (~node4(s83))),
% 4.86/4.37 inference(modus_ponens,[status(thm)],[16478, 16477])).
% 4.86/4.37 tff(16480,plain,
% 4.86/4.37 (m_main_v_request(s83)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16479, 63, 16476])).
% 4.86/4.37 tff(16481,plain,
% 4.86/4.37 (((~![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))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16482,plain,
% 4.86/4.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s83, s84)) | node2(s83, s84))),
% 4.86/4.37 inference(quant_inst,[status(thm)],[])).
% 4.86/4.37 tff(16483,plain,
% 4.86/4.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s83, s84)) | node2(s83, s84)),
% 4.86/4.37 inference(modus_ponens,[status(thm)],[16482, 16481])).
% 4.86/4.37 tff(16484,plain,
% 4.86/4.37 (node2(s83, s84)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16483, 7, 5964])).
% 4.86/4.37 tff(16485,plain,
% 4.86/4.37 (((~![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(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)))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16486,plain,
% 4.86/4.37 ((~![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(s83, c_ready)) | (~node2(s83, s84)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s83)))),
% 4.86/4.37 inference(quant_inst,[status(thm)],[])).
% 4.86/4.37 tff(16487,plain,
% 4.86/4.37 ((~![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(s83, c_ready)) | (~node2(s83, s84)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s83))),
% 4.86/4.37 inference(modus_ponens,[status(thm)],[16486, 16485])).
% 4.86/4.37 tff(16488,plain,
% 4.86/4.37 ((~m_main_v_state(s83, c_ready)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s83))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16487, 166, 16484])).
% 4.86/4.37 tff(16489,plain,
% 4.86/4.37 (~m_main_v_state(s83, c_ready)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16488, 16480, 16475])).
% 4.86/4.37 tff(16490,plain,
% 4.86/4.37 (always3(s83)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6838, 113, 16476])).
% 4.86/4.37 tff(16491,plain,
% 4.86/4.37 (((~![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)))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16492,plain,
% 4.86/4.37 (((~m_main_v_state(s83, c_busy)) | (~always3(s83))) <=> ((~always3(s83)) | (~m_main_v_state(s83, c_busy)))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16493,plain,
% 4.86/4.37 (((~![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))))),
% 4.86/4.37 inference(monotonicity,[status(thm)],[16492])).
% 4.86/4.37 tff(16494,plain,
% 4.86/4.37 (((~![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)))),
% 4.86/4.37 inference(transitivity,[status(thm)],[16493, 16491])).
% 4.86/4.37 tff(16495,plain,
% 4.86/4.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s83, c_busy)) | (~always3(s83)))),
% 4.86/4.37 inference(quant_inst,[status(thm)],[])).
% 4.86/4.37 tff(16496,plain,
% 4.86/4.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s83)) | (~m_main_v_state(s83, c_busy))),
% 4.86/4.37 inference(modus_ponens,[status(thm)],[16495, 16494])).
% 4.86/4.37 tff(16497,plain,
% 4.86/4.37 (~m_main_v_state(s83, c_busy)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16496, 145, 16490])).
% 4.86/4.37 tff(16498,plain,
% 4.86/4.37 (((~![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))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16499,plain,
% 4.86/4.37 ((~![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))),
% 4.86/4.37 inference(quant_inst,[status(thm)],[])).
% 4.86/4.37 tff(16500,plain,
% 4.86/4.37 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s83, c_busy) | m_main_v_state(s83, c_ready)),
% 4.86/4.37 inference(modus_ponens,[status(thm)],[16499, 16498])).
% 4.86/4.37 tff(16501,plain,
% 4.86/4.37 ($false),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16500, 188, 16497, 16489])).
% 4.86/4.37 tff(16502,plain,((~node4(s83)) | m_main_v_state(s84, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.37 tff(16503,plain,
% 4.86/4.37 (~node4(s83)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16502, 16470])).
% 4.86/4.37 tff(16504,assumption,(node4(s75)), introduced(assumption)).
% 4.86/4.37 tff(16505,plain,
% 4.86/4.37 (((~![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)))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16506,plain,
% 4.86/4.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s75) | (~node4(s75)))),
% 4.86/4.37 inference(quant_inst,[status(thm)],[])).
% 4.86/4.37 tff(16507,plain,
% 4.86/4.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s75) | (~node4(s75))),
% 4.86/4.37 inference(modus_ponens,[status(thm)],[16506, 16505])).
% 4.86/4.37 tff(16508,plain,
% 4.86/4.37 (m_main_v_request(s75)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16507, 63, 16504])).
% 4.86/4.37 tff(16509,plain,
% 4.86/4.37 (always3(s75)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6982, 113, 16504])).
% 4.86/4.37 tff(16510,plain,
% 4.86/4.37 (always3(s76)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6064, 16509])).
% 4.86/4.37 tff(16511,plain,
% 4.86/4.37 (((~![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)))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16512,plain,
% 4.86/4.37 (((~m_main_v_state(s76, c_busy)) | (~always3(s76))) <=> ((~always3(s76)) | (~m_main_v_state(s76, c_busy)))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16513,plain,
% 4.86/4.37 (((~![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))))),
% 4.86/4.37 inference(monotonicity,[status(thm)],[16512])).
% 4.86/4.37 tff(16514,plain,
% 4.86/4.37 (((~![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)))),
% 4.86/4.37 inference(transitivity,[status(thm)],[16513, 16511])).
% 4.86/4.37 tff(16515,plain,
% 4.86/4.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s76, c_busy)) | (~always3(s76)))),
% 4.86/4.37 inference(quant_inst,[status(thm)],[])).
% 4.86/4.37 tff(16516,plain,
% 4.86/4.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s76)) | (~m_main_v_state(s76, c_busy))),
% 4.86/4.37 inference(modus_ponens,[status(thm)],[16515, 16514])).
% 4.86/4.37 tff(16517,plain,
% 4.86/4.37 (~m_main_v_state(s76, c_busy)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16516, 145, 16510])).
% 4.86/4.37 tff(16518,plain,
% 4.86/4.37 (((~![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))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16519,plain,
% 4.86/4.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s75, s76)) | node2(s75, s76))),
% 4.86/4.37 inference(quant_inst,[status(thm)],[])).
% 4.86/4.37 tff(16520,plain,
% 4.86/4.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s75, s76)) | node2(s75, s76)),
% 4.86/4.37 inference(modus_ponens,[status(thm)],[16519, 16518])).
% 4.86/4.37 tff(16521,plain,
% 4.86/4.37 (node2(s75, s76)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16520, 7, 6060])).
% 4.86/4.37 tff(16522,plain,
% 4.86/4.37 (((~![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(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)))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16523,plain,
% 4.86/4.37 ((~![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(s75, c_ready)) | (~node2(s75, s76)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s75)))),
% 4.86/4.37 inference(quant_inst,[status(thm)],[])).
% 4.86/4.37 tff(16524,plain,
% 4.86/4.37 ((~![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(s75, c_ready)) | (~node2(s75, s76)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s75))),
% 4.86/4.37 inference(modus_ponens,[status(thm)],[16523, 16522])).
% 4.86/4.37 tff(16525,plain,
% 4.86/4.37 ((~m_main_v_state(s75, c_ready)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s75))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16524, 166, 16521])).
% 4.86/4.37 tff(16526,plain,
% 4.86/4.37 (~m_main_v_state(s75, c_ready)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16525, 16517, 16508])).
% 4.86/4.37 tff(16527,plain,
% 4.86/4.37 (((~![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)))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16528,plain,
% 4.86/4.37 (((~m_main_v_state(s75, c_busy)) | (~always3(s75))) <=> ((~always3(s75)) | (~m_main_v_state(s75, c_busy)))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16529,plain,
% 4.86/4.37 (((~![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))))),
% 4.86/4.37 inference(monotonicity,[status(thm)],[16528])).
% 4.86/4.37 tff(16530,plain,
% 4.86/4.37 (((~![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)))),
% 4.86/4.37 inference(transitivity,[status(thm)],[16529, 16527])).
% 4.86/4.37 tff(16531,plain,
% 4.86/4.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s75, c_busy)) | (~always3(s75)))),
% 4.86/4.37 inference(quant_inst,[status(thm)],[])).
% 4.86/4.37 tff(16532,plain,
% 4.86/4.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s75)) | (~m_main_v_state(s75, c_busy))),
% 4.86/4.37 inference(modus_ponens,[status(thm)],[16531, 16530])).
% 4.86/4.37 tff(16533,plain,
% 4.86/4.37 (~m_main_v_state(s75, c_busy)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16532, 145, 16509])).
% 4.86/4.37 tff(16534,plain,
% 4.86/4.37 (((~![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))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16535,plain,
% 4.86/4.37 ((~![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))),
% 4.86/4.37 inference(quant_inst,[status(thm)],[])).
% 4.86/4.37 tff(16536,plain,
% 4.86/4.37 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s75, c_busy) | m_main_v_state(s75, c_ready)),
% 4.86/4.37 inference(modus_ponens,[status(thm)],[16535, 16534])).
% 4.86/4.37 tff(16537,plain,
% 4.86/4.37 ($false),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16536, 188, 16533, 16526])).
% 4.86/4.37 tff(16538,plain,(~node4(s75)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.37 tff(16539,plain,
% 4.86/4.37 (xuntil6(s75) | (~until5(s75))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6989, 225, 16538])).
% 4.86/4.37 tff(16540,plain,
% 4.86/4.37 (xuntil6(s75)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16539, 16328])).
% 4.86/4.37 tff(16541,plain,
% 4.86/4.37 (until5(s76)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6977, 16540])).
% 4.86/4.37 tff(16542,assumption,(~xuntil6(s82)), introduced(assumption)).
% 4.86/4.37 tff(16543,assumption,(~always3(s82)), introduced(assumption)).
% 4.86/4.37 tff(16544,plain,
% 4.86/4.37 (~always3(s81)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[5992, 16543])).
% 4.86/4.37 tff(16545,plain,
% 4.86/4.37 (~node4(s81)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6874, 113, 16544])).
% 4.86/4.37 tff(16546,plain,
% 4.86/4.37 (~node4(s82)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6856, 113, 16543])).
% 4.86/4.37 tff(16547,plain,
% 4.86/4.37 (node4(s82) | (~until5(s82))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6863, 225, 16542])).
% 4.86/4.37 tff(16548,plain,
% 4.86/4.37 (~until5(s82)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16547, 16546])).
% 4.86/4.37 tff(16549,plain,
% 4.86/4.37 (~xuntil6(s81)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6869, 16548])).
% 4.86/4.37 tff(16550,plain,
% 4.86/4.37 (~until5(s81)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6881, 225, 16549, 16545])).
% 4.86/4.37 tff(16551,plain,
% 4.86/4.37 (~xuntil6(s80)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6887, 16550])).
% 4.86/4.37 tff(16552,plain,
% 4.86/4.37 (~always3(s80)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6004, 16544])).
% 4.86/4.37 tff(16553,plain,
% 4.86/4.37 (~node4(s80)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6892, 113, 16552])).
% 4.86/4.37 tff(16554,plain,
% 4.86/4.37 (xuntil6(s80) | (~until5(s80))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6899, 225, 16553])).
% 4.86/4.37 tff(16555,plain,
% 4.86/4.37 (~until5(s80)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16554, 16551])).
% 4.86/4.37 tff(16556,plain,
% 4.86/4.37 (~xuntil6(s79)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6905, 16555])).
% 4.86/4.37 tff(16557,plain,
% 4.86/4.37 (~always3(s79)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6016, 16552])).
% 4.86/4.37 tff(16558,plain,
% 4.86/4.37 (~node4(s79)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6910, 113, 16557])).
% 4.86/4.37 tff(16559,plain,
% 4.86/4.37 (xuntil6(s79) | (~until5(s79))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6917, 225, 16558])).
% 4.86/4.37 tff(16560,plain,
% 4.86/4.37 (~until5(s79)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16559, 16556])).
% 4.86/4.37 tff(16561,plain,
% 4.86/4.37 (~always3(s78)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6028, 16557])).
% 4.86/4.37 tff(16562,plain,
% 4.86/4.37 (~always3(s77)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6040, 16561])).
% 4.86/4.37 tff(16563,plain,
% 4.86/4.37 (~always3(s76)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6052, 16562])).
% 4.86/4.37 tff(16564,plain,
% 4.86/4.37 (~node4(s76)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6964, 113, 16563])).
% 4.86/4.37 tff(16565,plain,
% 4.86/4.37 (~always3(s75)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6064, 16563])).
% 4.86/4.37 tff(16566,plain,
% 4.86/4.37 (~node4(s75)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6982, 113, 16565])).
% 4.86/4.37 tff(16567,plain,
% 4.86/4.37 (xuntil6(s75)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16383, 16566])).
% 4.86/4.37 tff(16568,plain,
% 4.86/4.37 (until5(s76)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6977, 16567])).
% 4.86/4.37 tff(16569,plain,
% 4.86/4.37 (xuntil6(s76)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6971, 225, 16568, 16564])).
% 4.86/4.37 tff(16570,plain,
% 4.86/4.37 (until5(s77)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6959, 16569])).
% 4.86/4.37 tff(16571,plain,
% 4.86/4.37 (~node4(s77)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6946, 113, 16562])).
% 4.86/4.37 tff(16572,plain,
% 4.86/4.37 (xuntil6(s77) | (~until5(s77))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6953, 225, 16571])).
% 4.86/4.37 tff(16573,plain,
% 4.86/4.37 (xuntil6(s77)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16572, 16570])).
% 4.86/4.37 tff(16574,plain,
% 4.86/4.37 (until5(s78)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6941, 16573])).
% 4.86/4.37 tff(16575,plain,
% 4.86/4.37 (~node4(s78)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6928, 113, 16561])).
% 4.86/4.37 tff(16576,plain,
% 4.86/4.37 (xuntil6(s78) | (~until5(s78))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6935, 225, 16575])).
% 4.86/4.37 tff(16577,plain,
% 4.86/4.37 (xuntil6(s78)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16576, 16574])).
% 4.86/4.37 tff(16578,plain,
% 4.86/4.37 ($false),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6923, 16577, 16560])).
% 4.86/4.37 tff(16579,plain,(always3(s82) | (~until5(s75)) | xuntil6(s82)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.37 tff(16580,plain,
% 4.86/4.37 (always3(s82)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16579, 16542, 16328])).
% 4.86/4.37 tff(16581,plain,
% 4.86/4.37 (always3(s83)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[5980, 16580])).
% 4.86/4.37 tff(16582,plain,
% 4.86/4.37 (~m_main_v_state(s83, c_busy)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16496, 145, 16581])).
% 4.86/4.37 tff(16583,assumption,(until5(s82)), introduced(assumption)).
% 4.86/4.37 tff(16584,plain,
% 4.86/4.37 (xuntil6(s82) | node4(s82)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[6863, 225, 16583])).
% 4.86/4.37 tff(16585,plain,
% 4.86/4.37 (node4(s82)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16584, 16542])).
% 4.86/4.37 tff(16586,plain,
% 4.86/4.37 (((~![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)))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16587,plain,
% 4.86/4.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s82) | (~node4(s82)))),
% 4.86/4.37 inference(quant_inst,[status(thm)],[])).
% 4.86/4.37 tff(16588,plain,
% 4.86/4.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s82) | (~node4(s82))),
% 4.86/4.37 inference(modus_ponens,[status(thm)],[16587, 16586])).
% 4.86/4.37 tff(16589,plain,
% 4.86/4.37 (m_main_v_request(s82)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16588, 63, 16585])).
% 4.86/4.37 tff(16590,plain,
% 4.86/4.37 (((~![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))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16591,plain,
% 4.86/4.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s82, s83)) | node2(s82, s83))),
% 4.86/4.37 inference(quant_inst,[status(thm)],[])).
% 4.86/4.37 tff(16592,plain,
% 4.86/4.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s82, s83)) | node2(s82, s83)),
% 4.86/4.37 inference(modus_ponens,[status(thm)],[16591, 16590])).
% 4.86/4.37 tff(16593,plain,
% 4.86/4.37 (node2(s82, s83)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16592, 7, 5976])).
% 4.86/4.37 tff(16594,plain,
% 4.86/4.37 (((~![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(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)))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16595,plain,
% 4.86/4.37 ((~![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(s82, c_ready)) | (~node2(s82, s83)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s82)))),
% 4.86/4.37 inference(quant_inst,[status(thm)],[])).
% 4.86/4.37 tff(16596,plain,
% 4.86/4.37 ((~![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(s82, c_ready)) | (~node2(s82, s83)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s82))),
% 4.86/4.37 inference(modus_ponens,[status(thm)],[16595, 16594])).
% 4.86/4.37 tff(16597,plain,
% 4.86/4.37 ((~m_main_v_state(s82, c_ready)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s82))),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16596, 166, 16593])).
% 4.86/4.37 tff(16598,plain,
% 4.86/4.37 (~m_main_v_state(s82, c_ready)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16597, 16589, 16582])).
% 4.86/4.37 tff(16599,plain,
% 4.86/4.37 (((~![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)))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16600,plain,
% 4.86/4.37 (((~m_main_v_state(s82, c_busy)) | (~always3(s82))) <=> ((~always3(s82)) | (~m_main_v_state(s82, c_busy)))),
% 4.86/4.37 inference(rewrite,[status(thm)],[])).
% 4.86/4.37 tff(16601,plain,
% 4.86/4.37 (((~![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))))),
% 4.86/4.37 inference(monotonicity,[status(thm)],[16600])).
% 4.86/4.37 tff(16602,plain,
% 4.86/4.37 (((~![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)))),
% 4.86/4.37 inference(transitivity,[status(thm)],[16601, 16599])).
% 4.86/4.37 tff(16603,plain,
% 4.86/4.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s82, c_busy)) | (~always3(s82)))),
% 4.86/4.37 inference(quant_inst,[status(thm)],[])).
% 4.86/4.37 tff(16604,plain,
% 4.86/4.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s82)) | (~m_main_v_state(s82, c_busy))),
% 4.86/4.37 inference(modus_ponens,[status(thm)],[16603, 16602])).
% 4.86/4.37 tff(16605,plain,
% 4.86/4.37 (~m_main_v_state(s82, c_busy)),
% 4.86/4.37 inference(unit_resolution,[status(thm)],[16604, 145, 16580])).
% 4.86/4.37 tff(16606,plain,
% 4.86/4.37 (((~![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))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16607,plain,
% 4.86/4.38 ((~![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))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16608,plain,
% 4.86/4.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s82, c_busy) | m_main_v_state(s82, c_ready)),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16607, 16606])).
% 4.86/4.38 tff(16609,plain,
% 4.86/4.38 ($false),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16608, 188, 16605, 16598])).
% 4.86/4.38 tff(16610,plain,(xuntil6(s82) | (~until5(s82)) | (~until5(s75))), inference(lemma,lemma(discharge,[]))).
% 4.86/4.38 tff(16611,plain,
% 4.86/4.38 (~until5(s82)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16610, 16542, 16328])).
% 4.86/4.38 tff(16612,plain,
% 4.86/4.38 (~xuntil6(s81)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6869, 16611])).
% 4.86/4.38 tff(16613,assumption,(until5(s76)), introduced(assumption)).
% 4.86/4.38 tff(16614,assumption,(~m_main_v_state(s82, c_busy)), introduced(assumption)).
% 4.86/4.38 tff(16615,assumption,(~xuntil6(s81)), introduced(assumption)).
% 4.86/4.38 tff(16616,assumption,(~always3(s81)), introduced(assumption)).
% 4.86/4.38 tff(16617,plain,
% 4.86/4.38 (~always3(s80)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6004, 16616])).
% 4.86/4.38 tff(16618,plain,
% 4.86/4.38 (~always3(s79)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6016, 16617])).
% 4.86/4.38 tff(16619,plain,
% 4.86/4.38 (~always3(s78)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6028, 16618])).
% 4.86/4.38 tff(16620,plain,
% 4.86/4.38 (~always3(s77)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6040, 16619])).
% 4.86/4.38 tff(16621,plain,
% 4.86/4.38 (~node4(s77)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6946, 113, 16620])).
% 4.86/4.38 tff(16622,plain,
% 4.86/4.38 (~always3(s76)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6052, 16620])).
% 4.86/4.38 tff(16623,plain,
% 4.86/4.38 (~node4(s76)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6964, 113, 16622])).
% 4.86/4.38 tff(16624,plain,
% 4.86/4.38 (xuntil6(s76) | node4(s76)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6971, 225, 16613])).
% 4.86/4.38 tff(16625,plain,
% 4.86/4.38 (xuntil6(s76)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16624, 16623])).
% 4.86/4.38 tff(16626,plain,
% 4.86/4.38 (until5(s77)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6959, 16625])).
% 4.86/4.38 tff(16627,plain,
% 4.86/4.38 (xuntil6(s77)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6953, 225, 16626, 16621])).
% 4.86/4.38 tff(16628,plain,
% 4.86/4.38 (until5(s78)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6941, 16627])).
% 4.86/4.38 tff(16629,plain,
% 4.86/4.38 (~node4(s78)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6928, 113, 16619])).
% 4.86/4.38 tff(16630,plain,
% 4.86/4.38 (xuntil6(s78) | (~until5(s78))),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6935, 225, 16629])).
% 4.86/4.38 tff(16631,plain,
% 4.86/4.38 (xuntil6(s78)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16630, 16628])).
% 4.86/4.38 tff(16632,plain,
% 4.86/4.38 (until5(s79)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6923, 16631])).
% 4.86/4.38 tff(16633,plain,
% 4.86/4.38 (~node4(s79)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6910, 113, 16618])).
% 4.86/4.38 tff(16634,plain,
% 4.86/4.38 (xuntil6(s79) | (~until5(s79))),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6917, 225, 16633])).
% 4.86/4.38 tff(16635,plain,
% 4.86/4.38 (xuntil6(s79)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16634, 16632])).
% 4.86/4.38 tff(16636,plain,
% 4.86/4.38 (until5(s80)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6905, 16635])).
% 4.86/4.38 tff(16637,plain,
% 4.86/4.38 (~node4(s80)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6892, 113, 16617])).
% 4.86/4.38 tff(16638,plain,
% 4.86/4.38 (xuntil6(s80) | (~until5(s80))),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6899, 225, 16637])).
% 4.86/4.38 tff(16639,plain,
% 4.86/4.38 (xuntil6(s80)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16638, 16636])).
% 4.86/4.38 tff(16640,plain,
% 4.86/4.38 (until5(s81)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6887, 16639])).
% 4.86/4.38 tff(16641,plain,
% 4.86/4.38 (node4(s81) | (~until5(s81))),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6881, 225, 16615])).
% 4.86/4.38 tff(16642,plain,
% 4.86/4.38 (node4(s81)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16641, 16640])).
% 4.86/4.38 tff(16643,plain,
% 4.86/4.38 ($false),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6874, 113, 16616, 16642])).
% 4.86/4.38 tff(16644,plain,(always3(s81) | xuntil6(s81) | (~until5(s76))), inference(lemma,lemma(discharge,[]))).
% 4.86/4.38 tff(16645,plain,
% 4.86/4.38 (always3(s81)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16644, 16613, 16615])).
% 4.86/4.38 tff(16646,plain,
% 4.86/4.38 (((~![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)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16647,plain,
% 4.86/4.38 (((~m_main_v_state(s81, c_busy)) | (~always3(s81))) <=> ((~always3(s81)) | (~m_main_v_state(s81, c_busy)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16648,plain,
% 4.86/4.38 (((~![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))))),
% 4.86/4.38 inference(monotonicity,[status(thm)],[16647])).
% 4.86/4.38 tff(16649,plain,
% 4.86/4.38 (((~![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)))),
% 4.86/4.38 inference(transitivity,[status(thm)],[16648, 16646])).
% 4.86/4.38 tff(16650,plain,
% 4.86/4.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s81, c_busy)) | (~always3(s81)))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16651,plain,
% 4.86/4.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s81)) | (~m_main_v_state(s81, c_busy))),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16650, 16649])).
% 4.86/4.38 tff(16652,plain,
% 4.86/4.38 (~m_main_v_state(s81, c_busy)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16651, 145, 16645])).
% 4.86/4.38 tff(16653,plain,
% 4.86/4.38 (((~![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))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16654,plain,
% 4.86/4.38 ((~![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))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16655,plain,
% 4.86/4.38 ((~![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)),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16654, 16653])).
% 4.86/4.38 tff(16656,plain,
% 4.86/4.38 (m_main_v_state(s81, c_ready)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16655, 188, 16652])).
% 4.86/4.38 tff(16657,plain,
% 4.86/4.38 (((~![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))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16658,plain,
% 4.86/4.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s81, s82)) | node2(s81, s82))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16659,plain,
% 4.86/4.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s81, s82)) | node2(s81, s82)),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16658, 16657])).
% 4.86/4.38 tff(16660,plain,
% 4.86/4.38 (node2(s81, s82)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16659, 7, 5988])).
% 4.86/4.38 tff(16661,plain,
% 4.86/4.38 (((~![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(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)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16662,plain,
% 4.86/4.38 ((~![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(s81, c_ready)) | (~node2(s81, s82)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s81)))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16663,plain,
% 4.86/4.38 ((~![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(s81, c_ready)) | (~node2(s81, s82)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s81))),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16662, 16661])).
% 4.86/4.38 tff(16664,plain,
% 4.86/4.38 ((~m_main_v_state(s81, c_ready)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s81))),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16663, 166, 16660])).
% 4.86/4.38 tff(16665,plain,
% 4.86/4.38 (~m_main_v_request(s81)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16664, 16656, 16614])).
% 4.86/4.38 tff(16666,plain,
% 4.86/4.38 (((~![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)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16667,plain,
% 4.86/4.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s81) | (~node4(s81)))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16668,plain,
% 4.86/4.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s81) | (~node4(s81))),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16667, 16666])).
% 4.86/4.38 tff(16669,plain,
% 4.86/4.38 (~node4(s81)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16668, 63, 16665])).
% 4.86/4.38 tff(16670,plain,
% 4.86/4.38 (~until5(s81)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16641, 16669])).
% 4.86/4.38 tff(16671,plain,
% 4.86/4.38 (~xuntil6(s80)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6887, 16670])).
% 4.86/4.38 tff(16672,assumption,(~always3(s80)), introduced(assumption)).
% 4.86/4.38 tff(16673,plain,
% 4.86/4.38 (~always3(s79)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6016, 16672])).
% 4.86/4.38 tff(16674,plain,
% 4.86/4.38 (~always3(s78)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6028, 16673])).
% 4.86/4.38 tff(16675,plain,
% 4.86/4.38 (~always3(s77)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6040, 16674])).
% 4.86/4.38 tff(16676,plain,
% 4.86/4.38 (~node4(s77)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6946, 113, 16675])).
% 4.86/4.38 tff(16677,plain,
% 4.86/4.38 (~always3(s76)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6052, 16675])).
% 4.86/4.38 tff(16678,plain,
% 4.86/4.38 (~node4(s76)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6964, 113, 16677])).
% 4.86/4.38 tff(16679,plain,
% 4.86/4.38 (xuntil6(s76)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16624, 16678])).
% 4.86/4.38 tff(16680,plain,
% 4.86/4.38 (until5(s77)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6959, 16679])).
% 4.86/4.38 tff(16681,plain,
% 4.86/4.38 (xuntil6(s77)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6953, 225, 16680, 16676])).
% 4.86/4.38 tff(16682,plain,
% 4.86/4.38 (until5(s78)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6941, 16681])).
% 4.86/4.38 tff(16683,plain,
% 4.86/4.38 (~node4(s78)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6928, 113, 16674])).
% 4.86/4.38 tff(16684,plain,
% 4.86/4.38 (xuntil6(s78) | (~until5(s78))),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6935, 225, 16683])).
% 4.86/4.38 tff(16685,plain,
% 4.86/4.38 (xuntil6(s78)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16684, 16682])).
% 4.86/4.38 tff(16686,plain,
% 4.86/4.38 (until5(s79)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6923, 16685])).
% 4.86/4.38 tff(16687,plain,
% 4.86/4.38 (~node4(s79)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6910, 113, 16673])).
% 4.86/4.38 tff(16688,plain,
% 4.86/4.38 (xuntil6(s79) | (~until5(s79))),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6917, 225, 16687])).
% 4.86/4.38 tff(16689,plain,
% 4.86/4.38 (xuntil6(s79)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16688, 16686])).
% 4.86/4.38 tff(16690,plain,
% 4.86/4.38 (until5(s80)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6905, 16689])).
% 4.86/4.38 tff(16691,assumption,(~xuntil6(s80)), introduced(assumption)).
% 4.86/4.38 tff(16692,plain,
% 4.86/4.38 (node4(s80) | (~until5(s80))),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6899, 225, 16691])).
% 4.86/4.38 tff(16693,plain,
% 4.86/4.38 (node4(s80)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16692, 16690])).
% 4.86/4.38 tff(16694,plain,
% 4.86/4.38 ($false),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6892, 113, 16672, 16693])).
% 4.86/4.38 tff(16695,plain,(always3(s80) | xuntil6(s80) | (~until5(s76))), inference(lemma,lemma(discharge,[]))).
% 4.86/4.38 tff(16696,plain,
% 4.86/4.38 (always3(s80)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16695, 16671, 16613])).
% 4.86/4.38 tff(16697,plain,
% 4.86/4.38 (((~![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)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16698,plain,
% 4.86/4.38 (((~m_main_v_state(s80, c_busy)) | (~always3(s80))) <=> ((~always3(s80)) | (~m_main_v_state(s80, c_busy)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16699,plain,
% 4.86/4.38 (((~![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))))),
% 4.86/4.38 inference(monotonicity,[status(thm)],[16698])).
% 4.86/4.38 tff(16700,plain,
% 4.86/4.38 (((~![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)))),
% 4.86/4.38 inference(transitivity,[status(thm)],[16699, 16697])).
% 4.86/4.38 tff(16701,plain,
% 4.86/4.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s80, c_busy)) | (~always3(s80)))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16702,plain,
% 4.86/4.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s80)) | (~m_main_v_state(s80, c_busy))),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16701, 16700])).
% 4.86/4.38 tff(16703,plain,
% 4.86/4.38 (~m_main_v_state(s80, c_busy)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16702, 145, 16696])).
% 4.86/4.38 tff(16704,assumption,(~m_main_v_state(s80, c_busy)), introduced(assumption)).
% 4.86/4.38 tff(16705,assumption,(node4(s79)), introduced(assumption)).
% 4.86/4.38 tff(16706,plain,
% 4.86/4.38 (((~![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)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16707,plain,
% 4.86/4.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s79) | (~node4(s79)))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16708,plain,
% 4.86/4.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s79) | (~node4(s79))),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16707, 16706])).
% 4.86/4.38 tff(16709,plain,
% 4.86/4.38 (m_main_v_request(s79)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16708, 63, 16705])).
% 4.86/4.38 tff(16710,plain,
% 4.86/4.38 (((~![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))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16711,plain,
% 4.86/4.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s79, s80)) | node2(s79, s80))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16712,plain,
% 4.86/4.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s79, s80)) | node2(s79, s80)),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16711, 16710])).
% 4.86/4.38 tff(16713,plain,
% 4.86/4.38 (node2(s79, s80)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16712, 7, 6012])).
% 4.86/4.38 tff(16714,plain,
% 4.86/4.38 (((~![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(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)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16715,plain,
% 4.86/4.38 ((~![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(s79, c_ready)) | (~node2(s79, s80)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s79)))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16716,plain,
% 4.86/4.38 ((~![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(s79, c_ready)) | (~node2(s79, s80)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s79))),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16715, 16714])).
% 4.86/4.38 tff(16717,plain,
% 4.86/4.38 ((~m_main_v_state(s79, c_ready)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s79))),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16716, 166, 16713])).
% 4.86/4.38 tff(16718,plain,
% 4.86/4.38 (~m_main_v_state(s79, c_ready)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16717, 16709, 16704])).
% 4.86/4.38 tff(16719,plain,
% 4.86/4.38 (always3(s79)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6910, 113, 16705])).
% 4.86/4.38 tff(16720,plain,
% 4.86/4.38 (((~![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)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16721,plain,
% 4.86/4.38 (((~m_main_v_state(s79, c_busy)) | (~always3(s79))) <=> ((~always3(s79)) | (~m_main_v_state(s79, c_busy)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16722,plain,
% 4.86/4.38 (((~![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))))),
% 4.86/4.38 inference(monotonicity,[status(thm)],[16721])).
% 4.86/4.38 tff(16723,plain,
% 4.86/4.38 (((~![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)))),
% 4.86/4.38 inference(transitivity,[status(thm)],[16722, 16720])).
% 4.86/4.38 tff(16724,plain,
% 4.86/4.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s79, c_busy)) | (~always3(s79)))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16725,plain,
% 4.86/4.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s79)) | (~m_main_v_state(s79, c_busy))),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16724, 16723])).
% 4.86/4.38 tff(16726,plain,
% 4.86/4.38 (~m_main_v_state(s79, c_busy)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16725, 145, 16719])).
% 4.86/4.38 tff(16727,plain,
% 4.86/4.38 (((~![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))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16728,plain,
% 4.86/4.38 ((~![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))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16729,plain,
% 4.86/4.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s79, c_busy) | m_main_v_state(s79, c_ready)),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16728, 16727])).
% 4.86/4.38 tff(16730,plain,
% 4.86/4.38 ($false),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16729, 188, 16726, 16718])).
% 4.86/4.38 tff(16731,plain,((~node4(s79)) | m_main_v_state(s80, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.38 tff(16732,plain,
% 4.86/4.38 (~node4(s79)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16731, 16703])).
% 4.86/4.38 tff(16733,plain,
% 4.86/4.38 (((~![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))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16734,plain,
% 4.86/4.38 ((~![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))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16735,plain,
% 4.86/4.38 ((~![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)),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16734, 16733])).
% 4.86/4.38 tff(16736,plain,
% 4.86/4.38 (m_main_v_state(s80, c_ready)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16735, 188, 16703])).
% 4.86/4.38 tff(16737,plain,
% 4.86/4.38 (((~![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))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16738,plain,
% 4.86/4.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s80, s81)) | node2(s80, s81))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16739,plain,
% 4.86/4.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s80, s81)) | node2(s80, s81)),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16738, 16737])).
% 4.86/4.38 tff(16740,plain,
% 4.86/4.38 (node2(s80, s81)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16739, 7, 6000])).
% 4.86/4.38 tff(16741,plain,
% 4.86/4.38 (((~![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(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)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16742,plain,
% 4.86/4.38 ((~![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(s80, c_ready)) | (~node2(s80, s81)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s80)))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16743,plain,
% 4.86/4.38 ((~![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(s80, c_ready)) | (~node2(s80, s81)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s80))),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16742, 16741])).
% 4.86/4.38 tff(16744,plain,
% 4.86/4.38 ((~m_main_v_state(s80, c_ready)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s80))),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16743, 166, 16740])).
% 4.86/4.38 tff(16745,plain,
% 4.86/4.38 (~m_main_v_request(s80)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16744, 16736, 16652])).
% 4.86/4.38 tff(16746,plain,
% 4.86/4.38 (((~![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)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16747,plain,
% 4.86/4.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s80) | (~node4(s80)))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16748,plain,
% 4.86/4.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s80) | (~node4(s80))),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16747, 16746])).
% 4.86/4.38 tff(16749,plain,
% 4.86/4.38 (~node4(s80)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16748, 63, 16745])).
% 4.86/4.38 tff(16750,plain,
% 4.86/4.38 (node4(s80) | (~until5(s80))),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6899, 225, 16671])).
% 4.86/4.38 tff(16751,plain,
% 4.86/4.38 (~until5(s80)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16750, 16749])).
% 4.86/4.38 tff(16752,plain,
% 4.86/4.38 (~xuntil6(s79)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6905, 16751])).
% 4.86/4.38 tff(16753,plain,
% 4.86/4.38 (node4(s79) | (~until5(s79))),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6917, 225, 16752])).
% 4.86/4.38 tff(16754,plain,
% 4.86/4.38 (~until5(s79)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16753, 16732])).
% 4.86/4.38 tff(16755,plain,
% 4.86/4.38 (~xuntil6(s78)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6923, 16754])).
% 4.86/4.38 tff(16756,assumption,(~always3(s78)), introduced(assumption)).
% 4.86/4.38 tff(16757,plain,
% 4.86/4.38 (~always3(s77)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6040, 16756])).
% 4.86/4.38 tff(16758,plain,
% 4.86/4.38 (~node4(s77)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6946, 113, 16757])).
% 4.86/4.38 tff(16759,plain,
% 4.86/4.38 (~node4(s78)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6928, 113, 16756])).
% 4.86/4.38 tff(16760,assumption,(~xuntil6(s78)), introduced(assumption)).
% 4.86/4.38 tff(16761,plain,
% 4.86/4.38 (node4(s78) | (~until5(s78))),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6935, 225, 16760])).
% 4.86/4.38 tff(16762,plain,
% 4.86/4.38 (~until5(s78)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16761, 16759])).
% 4.86/4.38 tff(16763,plain,
% 4.86/4.38 (~xuntil6(s77)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6941, 16762])).
% 4.86/4.38 tff(16764,plain,
% 4.86/4.38 (~always3(s76)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6052, 16757])).
% 4.86/4.38 tff(16765,plain,
% 4.86/4.38 (~node4(s76)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6964, 113, 16764])).
% 4.86/4.38 tff(16766,plain,
% 4.86/4.38 (xuntil6(s76)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16624, 16765])).
% 4.86/4.38 tff(16767,plain,
% 4.86/4.38 (until5(s77)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6959, 16766])).
% 4.86/4.38 tff(16768,plain,
% 4.86/4.38 ($false),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6953, 225, 16767, 16763, 16758])).
% 4.86/4.38 tff(16769,plain,(always3(s78) | (~until5(s76)) | xuntil6(s78)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.38 tff(16770,plain,
% 4.86/4.38 (always3(s78)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16769, 16613, 16755])).
% 4.86/4.38 tff(16771,plain,
% 4.86/4.38 (always3(s79)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6028, 16770])).
% 4.86/4.38 tff(16772,plain,
% 4.86/4.38 (~m_main_v_state(s79, c_busy)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16725, 145, 16771])).
% 4.86/4.38 tff(16773,plain,
% 4.86/4.38 (((~![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)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16774,plain,
% 4.86/4.38 (((~m_main_v_state(s78, c_busy)) | (~always3(s78))) <=> ((~always3(s78)) | (~m_main_v_state(s78, c_busy)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16775,plain,
% 4.86/4.38 (((~![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))))),
% 4.86/4.38 inference(monotonicity,[status(thm)],[16774])).
% 4.86/4.38 tff(16776,plain,
% 4.86/4.38 (((~![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)))),
% 4.86/4.38 inference(transitivity,[status(thm)],[16775, 16773])).
% 4.86/4.38 tff(16777,plain,
% 4.86/4.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s78, c_busy)) | (~always3(s78)))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16778,plain,
% 4.86/4.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s78)) | (~m_main_v_state(s78, c_busy))),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16777, 16776])).
% 4.86/4.38 tff(16779,plain,
% 4.86/4.38 (~m_main_v_state(s78, c_busy)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16778, 145, 16770])).
% 4.86/4.38 tff(16780,plain,
% 4.86/4.38 (((~![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))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16781,plain,
% 4.86/4.38 ((~![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))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16782,plain,
% 4.86/4.38 ((~![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)),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16781, 16780])).
% 4.86/4.38 tff(16783,plain,
% 4.86/4.38 (m_main_v_state(s78, c_ready)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16782, 188, 16779])).
% 4.86/4.38 tff(16784,plain,
% 4.86/4.38 (((~![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))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16785,plain,
% 4.86/4.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s78, s79)) | node2(s78, s79))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16786,plain,
% 4.86/4.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s78, s79)) | node2(s78, s79)),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16785, 16784])).
% 4.86/4.38 tff(16787,plain,
% 4.86/4.38 (node2(s78, s79)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16786, 7, 6024])).
% 4.86/4.38 tff(16788,plain,
% 4.86/4.38 (((~![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(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)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16789,plain,
% 4.86/4.38 ((~![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(s78, c_ready)) | (~node2(s78, s79)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s78)))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16790,plain,
% 4.86/4.38 ((~![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(s78, c_ready)) | (~node2(s78, s79)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s78))),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16789, 16788])).
% 4.86/4.38 tff(16791,plain,
% 4.86/4.38 ((~m_main_v_state(s78, c_ready)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s78))),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16790, 166, 16787])).
% 4.86/4.38 tff(16792,plain,
% 4.86/4.38 (~m_main_v_request(s78)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16791, 16783, 16772])).
% 4.86/4.38 tff(16793,plain,
% 4.86/4.38 (((~![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)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16794,plain,
% 4.86/4.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s78) | (~node4(s78)))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16795,plain,
% 4.86/4.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s78) | (~node4(s78))),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16794, 16793])).
% 4.86/4.38 tff(16796,plain,
% 4.86/4.38 (~node4(s78)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16795, 63, 16792])).
% 4.86/4.38 tff(16797,plain,
% 4.86/4.38 (node4(s78) | (~until5(s78))),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6935, 225, 16755])).
% 4.86/4.38 tff(16798,plain,
% 4.86/4.38 (~until5(s78)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16797, 16796])).
% 4.86/4.38 tff(16799,plain,
% 4.86/4.38 (~xuntil6(s77)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6941, 16798])).
% 4.86/4.38 tff(16800,assumption,(~always3(s77)), introduced(assumption)).
% 4.86/4.38 tff(16801,plain,
% 4.86/4.38 (~always3(s76)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6052, 16800])).
% 4.86/4.38 tff(16802,plain,
% 4.86/4.38 (~node4(s76)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6964, 113, 16801])).
% 4.86/4.38 tff(16803,plain,
% 4.86/4.38 (xuntil6(s76)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16624, 16802])).
% 4.86/4.38 tff(16804,plain,
% 4.86/4.38 (until5(s77)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6959, 16803])).
% 4.86/4.38 tff(16805,assumption,(~xuntil6(s77)), introduced(assumption)).
% 4.86/4.38 tff(16806,plain,
% 4.86/4.38 (node4(s77) | (~until5(s77))),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6953, 225, 16805])).
% 4.86/4.38 tff(16807,plain,
% 4.86/4.38 (node4(s77)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16806, 16804])).
% 4.86/4.38 tff(16808,plain,
% 4.86/4.38 ($false),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[6946, 113, 16800, 16807])).
% 4.86/4.38 tff(16809,plain,(always3(s77) | xuntil6(s77) | (~until5(s76))), inference(lemma,lemma(discharge,[]))).
% 4.86/4.38 tff(16810,plain,
% 4.86/4.38 (always3(s77)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16809, 16799, 16613])).
% 4.86/4.38 tff(16811,plain,
% 4.86/4.38 (((~![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)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16812,plain,
% 4.86/4.38 (((~m_main_v_state(s77, c_busy)) | (~always3(s77))) <=> ((~always3(s77)) | (~m_main_v_state(s77, c_busy)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16813,plain,
% 4.86/4.38 (((~![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))))),
% 4.86/4.38 inference(monotonicity,[status(thm)],[16812])).
% 4.86/4.38 tff(16814,plain,
% 4.86/4.38 (((~![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)))),
% 4.86/4.38 inference(transitivity,[status(thm)],[16813, 16811])).
% 4.86/4.38 tff(16815,plain,
% 4.86/4.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s77, c_busy)) | (~always3(s77)))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16816,plain,
% 4.86/4.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s77)) | (~m_main_v_state(s77, c_busy))),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16815, 16814])).
% 4.86/4.38 tff(16817,plain,
% 4.86/4.38 (~m_main_v_state(s77, c_busy)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16816, 145, 16810])).
% 4.86/4.38 tff(16818,plain,
% 4.86/4.38 (((~![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))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16819,plain,
% 4.86/4.38 ((~![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))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16820,plain,
% 4.86/4.38 ((~![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)),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16819, 16818])).
% 4.86/4.38 tff(16821,plain,
% 4.86/4.38 (m_main_v_state(s77, c_ready)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16820, 188, 16817])).
% 4.86/4.38 tff(16822,plain,
% 4.86/4.38 (((~![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))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16823,plain,
% 4.86/4.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s77, s78)) | node2(s77, s78))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16824,plain,
% 4.86/4.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s77, s78)) | node2(s77, s78)),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16823, 16822])).
% 4.86/4.38 tff(16825,plain,
% 4.86/4.38 (node2(s77, s78)),
% 4.86/4.38 inference(unit_resolution,[status(thm)],[16824, 7, 6036])).
% 4.86/4.38 tff(16826,plain,
% 4.86/4.38 (((~![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(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)))),
% 4.86/4.38 inference(rewrite,[status(thm)],[])).
% 4.86/4.38 tff(16827,plain,
% 4.86/4.38 ((~![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(s77, c_ready)) | (~node2(s77, s78)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s77)))),
% 4.86/4.38 inference(quant_inst,[status(thm)],[])).
% 4.86/4.38 tff(16828,plain,
% 4.86/4.38 ((~![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(s77, c_ready)) | (~node2(s77, s78)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s77))),
% 4.86/4.38 inference(modus_ponens,[status(thm)],[16827, 16826])).
% 4.86/4.39 tff(16829,plain,
% 4.86/4.39 ((~m_main_v_state(s77, c_ready)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s77))),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16828, 166, 16825])).
% 4.86/4.39 tff(16830,plain,
% 4.86/4.39 (~m_main_v_request(s77)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16829, 16821, 16779])).
% 4.86/4.39 tff(16831,plain,
% 4.86/4.39 (((~![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)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16832,plain,
% 4.86/4.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s77) | (~node4(s77)))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16833,plain,
% 4.86/4.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s77) | (~node4(s77))),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16832, 16831])).
% 4.86/4.39 tff(16834,plain,
% 4.86/4.39 (~node4(s77)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16833, 63, 16830])).
% 4.86/4.39 tff(16835,plain,
% 4.86/4.39 (node4(s77) | (~until5(s77))),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6953, 225, 16799])).
% 4.86/4.39 tff(16836,plain,
% 4.86/4.39 (~until5(s77)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16835, 16834])).
% 4.86/4.39 tff(16837,plain,
% 4.86/4.39 (~xuntil6(s76)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6959, 16836])).
% 4.86/4.39 tff(16838,plain,
% 4.86/4.39 (node4(s76)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16624, 16837])).
% 4.86/4.39 tff(16839,plain,
% 4.86/4.39 (((~![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)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16840,plain,
% 4.86/4.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s76) | (~node4(s76)))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16841,plain,
% 4.86/4.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s76) | (~node4(s76))),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16840, 16839])).
% 4.86/4.39 tff(16842,plain,
% 4.86/4.39 (m_main_v_request(s76)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16841, 63, 16838])).
% 4.86/4.39 tff(16843,plain,
% 4.86/4.39 (((~![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))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16844,plain,
% 4.86/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s76, s77)) | node2(s76, s77))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16845,plain,
% 4.86/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s76, s77)) | node2(s76, s77)),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16844, 16843])).
% 4.86/4.39 tff(16846,plain,
% 4.86/4.39 (node2(s76, s77)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16845, 7, 6048])).
% 4.86/4.39 tff(16847,plain,
% 4.86/4.39 (((~![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(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)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16848,plain,
% 4.86/4.39 ((~![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(s76, c_ready)) | (~node2(s76, s77)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s76)))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16849,plain,
% 4.86/4.39 ((~![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(s76, c_ready)) | (~node2(s76, s77)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s76))),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16848, 16847])).
% 4.86/4.39 tff(16850,plain,
% 4.86/4.39 ((~m_main_v_state(s76, c_ready)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s76))),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16849, 166, 16846])).
% 4.86/4.39 tff(16851,plain,
% 4.86/4.39 (~m_main_v_state(s76, c_ready)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16850, 16842, 16817])).
% 4.86/4.39 tff(16852,plain,
% 4.86/4.39 (always3(s76)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6964, 113, 16838])).
% 4.86/4.39 tff(16853,plain,
% 4.86/4.39 (~m_main_v_state(s76, c_busy)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16516, 145, 16852])).
% 4.86/4.39 tff(16854,plain,
% 4.86/4.39 (((~![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))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16855,plain,
% 4.86/4.39 ((~![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))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16856,plain,
% 4.86/4.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s76, c_busy) | m_main_v_state(s76, c_ready)),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16855, 16854])).
% 4.86/4.39 tff(16857,plain,
% 4.86/4.39 ($false),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16856, 188, 16853, 16851])).
% 4.86/4.39 tff(16858,plain,((~until5(s76)) | xuntil6(s81) | m_main_v_state(s82, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.39 tff(16859,plain,
% 4.86/4.39 (m_main_v_state(s82, c_busy)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16858, 16612, 16541])).
% 4.86/4.39 tff(16860,plain,
% 4.86/4.39 ($false),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16604, 145, 16580, 16859])).
% 4.86/4.39 tff(16861,plain,(xuntil6(s82) | (~until5(s75))), inference(lemma,lemma(discharge,[]))).
% 4.86/4.39 tff(16862,plain,
% 4.86/4.39 (xuntil6(s82)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16861, 16328])).
% 4.86/4.39 tff(16863,plain,
% 4.86/4.39 (until5(s83)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6851, 16862])).
% 4.86/4.39 tff(16864,plain,
% 4.86/4.39 (xuntil6(s83) | node4(s83)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6845, 225, 16863])).
% 4.86/4.39 tff(16865,plain,
% 4.86/4.39 (xuntil6(s83)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16864, 16503])).
% 4.86/4.39 tff(16866,plain,
% 4.86/4.39 (until5(s84)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6833, 16865])).
% 4.86/4.39 tff(16867,plain,
% 4.86/4.39 (node4(s84)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16418, 16866])).
% 4.86/4.39 tff(16868,plain,
% 4.86/4.39 (((~![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)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16869,plain,
% 4.86/4.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s84) | (~node4(s84)))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16870,plain,
% 4.86/4.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s84) | (~node4(s84))),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16869, 16868])).
% 4.86/4.39 tff(16871,plain,
% 4.86/4.39 (m_main_v_request(s84)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16870, 63, 16867])).
% 4.86/4.39 tff(16872,plain,
% 4.86/4.39 (((~![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))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16873,plain,
% 4.86/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s84, s85)) | node2(s84, s85))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16874,plain,
% 4.86/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s84, s85)) | node2(s84, s85)),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16873, 16872])).
% 4.86/4.39 tff(16875,plain,
% 4.86/4.39 (node2(s84, s85)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16874, 7, 5952])).
% 4.86/4.39 tff(16876,plain,
% 4.86/4.39 (((~![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(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)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16877,plain,
% 4.86/4.39 ((~![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(s84, c_ready)) | (~node2(s84, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s84)))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16878,plain,
% 4.86/4.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s84, c_ready)) | (~node2(s84, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s84))),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16877, 16876])).
% 4.86/4.39 tff(16879,plain,
% 4.86/4.39 ((~m_main_v_state(s84, c_ready)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s84))),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16878, 166, 16875])).
% 4.86/4.39 tff(16880,plain,
% 4.86/4.39 ($false),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16879, 16871, 16474, 16463])).
% 4.86/4.39 tff(16881,plain,(xuntil6(s84) | (~until5(s75))), inference(lemma,lemma(discharge,[]))).
% 4.86/4.39 tff(16882,plain,
% 4.86/4.39 (xuntil6(s84)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16881, 16328])).
% 4.86/4.39 tff(16883,plain,
% 4.86/4.39 (until5(s85)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6815, 16882])).
% 4.86/4.39 tff(16884,plain,
% 4.86/4.39 (always3(s87)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16355, 16350, 16344])).
% 4.86/4.39 tff(16885,plain,
% 4.86/4.39 (((~![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)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16886,plain,
% 4.86/4.39 (((~m_main_v_state(s87, c_busy)) | (~always3(s87))) <=> ((~always3(s87)) | (~m_main_v_state(s87, c_busy)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16887,plain,
% 4.86/4.39 (((~![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))))),
% 4.86/4.39 inference(monotonicity,[status(thm)],[16886])).
% 4.86/4.39 tff(16888,plain,
% 4.86/4.39 (((~![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)))),
% 4.86/4.39 inference(transitivity,[status(thm)],[16887, 16885])).
% 4.86/4.39 tff(16889,plain,
% 4.86/4.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s87, c_busy)) | (~always3(s87)))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16890,plain,
% 4.86/4.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s87)) | (~m_main_v_state(s87, c_busy))),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16889, 16888])).
% 4.86/4.39 tff(16891,plain,
% 4.86/4.39 (~m_main_v_state(s87, c_busy)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16890, 145, 16884])).
% 4.86/4.39 tff(16892,plain,
% 4.86/4.39 (always3(s87)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16355, 16344, 16350])).
% 4.86/4.39 tff(16893,plain,
% 4.86/4.39 (always3(s88)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[5920, 16892])).
% 4.86/4.39 tff(16894,plain,
% 4.86/4.39 (((~![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)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16895,plain,
% 4.86/4.39 (((~m_main_v_state(s88, c_busy)) | (~always3(s88))) <=> ((~always3(s88)) | (~m_main_v_state(s88, c_busy)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16896,plain,
% 4.86/4.39 (((~![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))))),
% 4.86/4.39 inference(monotonicity,[status(thm)],[16895])).
% 4.86/4.39 tff(16897,plain,
% 4.86/4.39 (((~![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)))),
% 4.86/4.39 inference(transitivity,[status(thm)],[16896, 16894])).
% 4.86/4.39 tff(16898,plain,
% 4.86/4.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s88, c_busy)) | (~always3(s88)))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16899,plain,
% 4.86/4.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s88)) | (~m_main_v_state(s88, c_busy))),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16898, 16897])).
% 4.86/4.39 tff(16900,plain,
% 4.86/4.39 (~m_main_v_state(s88, c_busy)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16899, 145, 16893])).
% 4.86/4.39 tff(16901,assumption,(until5(s87)), introduced(assumption)).
% 4.86/4.39 tff(16902,plain,
% 4.86/4.39 (xuntil6(s87) | node4(s87)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6773, 225, 16901])).
% 4.86/4.39 tff(16903,plain,
% 4.86/4.39 (node4(s87)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16902, 16344])).
% 4.86/4.39 tff(16904,plain,
% 4.86/4.39 (((~![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)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16905,plain,
% 4.86/4.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s87) | (~node4(s87)))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16906,plain,
% 4.86/4.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s87) | (~node4(s87))),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16905, 16904])).
% 4.86/4.39 tff(16907,plain,
% 4.86/4.39 (m_main_v_request(s87)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16906, 63, 16903])).
% 4.86/4.39 tff(16908,plain,
% 4.86/4.39 (((~![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))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16909,plain,
% 4.86/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s87, s88)) | node2(s87, s88))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16910,plain,
% 4.86/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s87, s88)) | node2(s87, s88)),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16909, 16908])).
% 4.86/4.39 tff(16911,plain,
% 4.86/4.39 (node2(s87, s88)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16910, 7, 5916])).
% 4.86/4.39 tff(16912,plain,
% 4.86/4.39 (((~![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(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)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16913,plain,
% 4.86/4.39 ((~![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(s87, c_ready)) | (~node2(s87, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s87)))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16914,plain,
% 4.86/4.39 ((~![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(s87, c_ready)) | (~node2(s87, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s87))),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16913, 16912])).
% 4.86/4.39 tff(16915,plain,
% 4.86/4.39 ((~m_main_v_state(s87, c_ready)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s87))),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16914, 166, 16911])).
% 4.86/4.39 tff(16916,plain,
% 4.86/4.39 (~m_main_v_state(s87, c_ready)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16915, 16907, 16900])).
% 4.86/4.39 tff(16917,plain,
% 4.86/4.39 (~m_main_v_state(s87, c_busy)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16890, 145, 16892])).
% 4.86/4.39 tff(16918,plain,
% 4.86/4.39 (((~![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))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16919,plain,
% 4.86/4.39 ((~![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))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16920,plain,
% 4.86/4.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s87, c_busy) | m_main_v_state(s87, c_ready)),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16919, 16918])).
% 4.86/4.39 tff(16921,plain,
% 4.86/4.39 ($false),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16920, 188, 16917, 16916])).
% 4.86/4.39 tff(16922,plain,(xuntil6(s87) | (~until5(s87)) | (~until5(s85))), inference(lemma,lemma(discharge,[]))).
% 4.86/4.39 tff(16923,plain,
% 4.86/4.39 (~until5(s87)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16922, 16350, 16344])).
% 4.86/4.39 tff(16924,plain,
% 4.86/4.39 (~xuntil6(s86)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6779, 16923])).
% 4.86/4.39 tff(16925,plain,
% 4.86/4.39 (xuntil6(s85) | (~until5(s85))),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6809, 225, 10234])).
% 4.86/4.39 tff(16926,plain,
% 4.86/4.39 (xuntil6(s85)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16925, 16350])).
% 4.86/4.39 tff(16927,plain,
% 4.86/4.39 (until5(s86)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6797, 16926])).
% 4.86/4.39 tff(16928,plain,
% 4.86/4.39 (node4(s86)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6791, 225, 16927, 16924])).
% 4.86/4.39 tff(16929,plain,
% 4.86/4.39 (((~![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)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16930,plain,
% 4.86/4.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s86) | (~node4(s86)))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16931,plain,
% 4.86/4.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s86) | (~node4(s86))),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16930, 16929])).
% 4.86/4.39 tff(16932,plain,
% 4.86/4.39 (m_main_v_request(s86)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16931, 63, 16928])).
% 4.86/4.39 tff(16933,plain,
% 4.86/4.39 (((~![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))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16934,plain,
% 4.86/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s86, s87)) | node2(s86, s87))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16935,plain,
% 4.86/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s86, s87)) | node2(s86, s87)),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16934, 16933])).
% 4.86/4.39 tff(16936,plain,
% 4.86/4.39 (node2(s86, s87)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16935, 7, 5928])).
% 4.86/4.39 tff(16937,plain,
% 4.86/4.39 (((~![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(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)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16938,plain,
% 4.86/4.39 ((~![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(s86, c_ready)) | (~node2(s86, s87)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s86)))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16939,plain,
% 4.86/4.39 ((~![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(s86, c_ready)) | (~node2(s86, s87)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s86))),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16938, 16937])).
% 4.86/4.39 tff(16940,plain,
% 4.86/4.39 ((~m_main_v_state(s86, c_ready)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s86))),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16939, 166, 16936])).
% 4.86/4.39 tff(16941,plain,
% 4.86/4.39 (~m_main_v_state(s86, c_ready)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16940, 16932, 16891])).
% 4.86/4.39 tff(16942,plain,
% 4.86/4.39 (always3(s86)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6784, 113, 16928])).
% 4.86/4.39 tff(16943,plain,
% 4.86/4.39 (~m_main_v_state(s86, c_busy)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[10212, 145, 16942])).
% 4.86/4.39 tff(16944,plain,
% 4.86/4.39 (((~![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))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16945,plain,
% 4.86/4.39 ((~![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))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16946,plain,
% 4.86/4.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s86, c_busy) | m_main_v_state(s86, c_ready)),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16945, 16944])).
% 4.86/4.39 tff(16947,plain,
% 4.86/4.39 ($false),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16946, 188, 16943, 16941])).
% 4.86/4.39 tff(16948,plain,((~until5(s85)) | xuntil6(s87)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.39 tff(16949,plain,
% 4.86/4.39 (xuntil6(s87)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16948, 16883])).
% 4.86/4.39 tff(16950,plain,
% 4.86/4.39 (until5(s88)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6761, 16949])).
% 4.86/4.39 tff(16951,plain,
% 4.86/4.39 (xuntil6(s88) | node4(s88)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6755, 225, 16950])).
% 4.86/4.39 tff(16952,plain,
% 4.86/4.39 (node4(s88)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16951, 16329])).
% 4.86/4.39 tff(16953,plain,
% 4.86/4.39 (((~![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)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16954,plain,
% 4.86/4.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s88) | (~node4(s88)))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16955,plain,
% 4.86/4.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s88) | (~node4(s88))),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16954, 16953])).
% 4.86/4.39 tff(16956,plain,
% 4.86/4.39 (m_main_v_request(s88)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16955, 63, 16952])).
% 4.86/4.39 tff(16957,plain,
% 4.86/4.39 (((~![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))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16958,plain,
% 4.86/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s88, s89)) | node2(s88, s89))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16959,plain,
% 4.86/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s88, s89)) | node2(s88, s89)),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16958, 16957])).
% 4.86/4.39 tff(16960,plain,
% 4.86/4.39 (node2(s88, s89)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16959, 7, 5904])).
% 4.86/4.39 tff(16961,plain,
% 4.86/4.39 (((~![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(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)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16962,plain,
% 4.86/4.39 ((~![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(s88, c_ready)) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s88)))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16963,plain,
% 4.86/4.39 ((~![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(s88, c_ready)) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s88))),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16962, 16961])).
% 4.86/4.39 tff(16964,plain,
% 4.86/4.39 ((~m_main_v_state(s88, c_ready)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s88))),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16963, 166, 16960])).
% 4.86/4.39 tff(16965,plain,
% 4.86/4.39 (~m_main_v_state(s88, c_ready)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16964, 16956, 16412])).
% 4.86/4.39 tff(16966,plain,
% 4.86/4.39 (~m_main_v_state(s88, c_busy)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16899, 145, 16404])).
% 4.86/4.39 tff(16967,plain,
% 4.86/4.39 (((~![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))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16968,plain,
% 4.86/4.39 ((~![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))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16969,plain,
% 4.86/4.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s88, c_busy) | m_main_v_state(s88, c_ready)),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16968, 16967])).
% 4.86/4.39 tff(16970,plain,
% 4.86/4.39 ($false),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16969, 188, 16966, 16965])).
% 4.86/4.39 tff(16971,plain,(xuntil6(s88) | (~until5(s75))), inference(lemma,lemma(discharge,[]))).
% 4.86/4.39 tff(16972,plain,
% 4.86/4.39 (xuntil6(s88)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16971, 16327])).
% 4.86/4.39 tff(16973,plain,
% 4.86/4.39 (until5(s89)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6743, 16972])).
% 4.86/4.39 tff(16974,assumption,(until5(s89)), introduced(assumption)).
% 4.86/4.39 tff(16975,assumption,(~xuntil6(s90)), introduced(assumption)).
% 4.86/4.39 tff(16976,assumption,(~always3(s90)), introduced(assumption)).
% 4.86/4.39 tff(16977,plain,
% 4.86/4.39 (~node4(s90)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6712, 113, 16976])).
% 4.86/4.39 tff(16978,plain,
% 4.86/4.39 (node4(s90) | (~until5(s90))),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6719, 225, 16975])).
% 4.86/4.39 tff(16979,plain,
% 4.86/4.39 (~until5(s90)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16978, 16977])).
% 4.86/4.39 tff(16980,plain,
% 4.86/4.39 (~always3(s89)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[5896, 16976])).
% 4.86/4.39 tff(16981,plain,
% 4.86/4.39 (~node4(s89)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6730, 113, 16980])).
% 4.86/4.39 tff(16982,plain,
% 4.86/4.39 (xuntil6(s89) | node4(s89)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6737, 225, 16974])).
% 4.86/4.39 tff(16983,plain,
% 4.86/4.39 (xuntil6(s89)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16982, 16981])).
% 4.86/4.39 tff(16984,plain,
% 4.86/4.39 ($false),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[6725, 16983, 16979])).
% 4.86/4.39 tff(16985,plain,(always3(s90) | (~until5(s89)) | xuntil6(s90)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.39 tff(16986,plain,
% 4.86/4.39 (always3(s90)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16985, 16975, 16974])).
% 4.86/4.39 tff(16987,plain,
% 4.86/4.39 (((~![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)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16988,plain,
% 4.86/4.39 (((~m_main_v_state(s90, c_busy)) | (~always3(s90))) <=> ((~always3(s90)) | (~m_main_v_state(s90, c_busy)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16989,plain,
% 4.86/4.39 (((~![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))))),
% 4.86/4.39 inference(monotonicity,[status(thm)],[16988])).
% 4.86/4.39 tff(16990,plain,
% 4.86/4.39 (((~![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)))),
% 4.86/4.39 inference(transitivity,[status(thm)],[16989, 16987])).
% 4.86/4.39 tff(16991,plain,
% 4.86/4.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s90, c_busy)) | (~always3(s90)))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(16992,plain,
% 4.86/4.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s90)) | (~m_main_v_state(s90, c_busy))),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16991, 16990])).
% 4.86/4.39 tff(16993,plain,
% 4.86/4.39 (~m_main_v_state(s90, c_busy)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[16992, 145, 16986])).
% 4.86/4.39 tff(16994,plain,
% 4.86/4.39 (always3(s91)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[5884, 16986])).
% 4.86/4.39 tff(16995,plain,
% 4.86/4.39 (((~![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)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16996,plain,
% 4.86/4.39 (((~m_main_v_state(s91, c_busy)) | (~always3(s91))) <=> ((~always3(s91)) | (~m_main_v_state(s91, c_busy)))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(16997,plain,
% 4.86/4.39 (((~![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))))),
% 4.86/4.39 inference(monotonicity,[status(thm)],[16996])).
% 4.86/4.39 tff(16998,plain,
% 4.86/4.39 (((~![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)))),
% 4.86/4.39 inference(transitivity,[status(thm)],[16997, 16995])).
% 4.86/4.39 tff(16999,plain,
% 4.86/4.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s91, c_busy)) | (~always3(s91)))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(17000,plain,
% 4.86/4.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s91)) | (~m_main_v_state(s91, c_busy))),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[16999, 16998])).
% 4.86/4.39 tff(17001,plain,
% 4.86/4.39 (~m_main_v_state(s91, c_busy)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[17000, 145, 16994])).
% 4.86/4.39 tff(17002,plain,
% 4.86/4.39 (((~![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))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(17003,plain,
% 4.86/4.39 ((~![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))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(17004,plain,
% 4.86/4.39 ((~![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)),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[17003, 17002])).
% 4.86/4.39 tff(17005,plain,
% 4.86/4.39 (m_main_v_state(s90, c_ready)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[17004, 188, 16993])).
% 4.86/4.39 tff(17006,plain,
% 4.86/4.39 (((~![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))),
% 4.86/4.39 inference(rewrite,[status(thm)],[])).
% 4.86/4.39 tff(17007,plain,
% 4.86/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s90, s91)) | node2(s90, s91))),
% 4.86/4.39 inference(quant_inst,[status(thm)],[])).
% 4.86/4.39 tff(17008,plain,
% 4.86/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s90, s91)) | node2(s90, s91)),
% 4.86/4.39 inference(modus_ponens,[status(thm)],[17007, 17006])).
% 4.86/4.39 tff(17009,plain,
% 4.86/4.39 (node2(s90, s91)),
% 4.86/4.39 inference(unit_resolution,[status(thm)],[17008, 7, 5880])).
% 4.86/4.39 tff(17010,plain,
% 4.86/4.39 (((~![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(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)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17011,plain,
% 4.86/4.40 ((~![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(s90, c_ready)) | (~node2(s90, s91)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s90)))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17012,plain,
% 4.86/4.40 ((~![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(s90, c_ready)) | (~node2(s90, s91)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s90))),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17011, 17010])).
% 4.86/4.40 tff(17013,plain,
% 4.86/4.40 ((~m_main_v_state(s90, c_ready)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s90))),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17012, 166, 17009])).
% 4.86/4.40 tff(17014,plain,
% 4.86/4.40 (~m_main_v_request(s90)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17013, 17005, 17001])).
% 4.86/4.40 tff(17015,plain,
% 4.86/4.40 (((~![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)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17016,plain,
% 4.86/4.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s90) | (~node4(s90)))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17017,plain,
% 4.86/4.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s90) | (~node4(s90))),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17016, 17015])).
% 4.86/4.40 tff(17018,plain,
% 4.86/4.40 (~node4(s90)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17017, 63, 17014])).
% 4.86/4.40 tff(17019,plain,
% 4.86/4.40 (~until5(s90)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[16978, 17018])).
% 4.86/4.40 tff(17020,plain,
% 4.86/4.40 (~xuntil6(s89)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6725, 17019])).
% 4.86/4.40 tff(17021,plain,
% 4.86/4.40 (node4(s89)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[16982, 17020])).
% 4.86/4.40 tff(17022,plain,
% 4.86/4.40 (((~![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)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17023,plain,
% 4.86/4.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s89) | (~node4(s89)))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17024,plain,
% 4.86/4.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s89) | (~node4(s89))),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17023, 17022])).
% 4.86/4.40 tff(17025,plain,
% 4.86/4.40 (m_main_v_request(s89)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17024, 63, 17021])).
% 4.86/4.40 tff(17026,plain,
% 4.86/4.40 (((~![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))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17027,plain,
% 4.86/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s89, s90)) | node2(s89, s90))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17028,plain,
% 4.86/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s89, s90)) | node2(s89, s90)),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17027, 17026])).
% 4.86/4.40 tff(17029,plain,
% 4.86/4.40 (node2(s89, s90)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17028, 7, 5892])).
% 4.86/4.40 tff(17030,plain,
% 4.86/4.40 (((~![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(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)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17031,plain,
% 4.86/4.40 ((~![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(s89, c_ready)) | (~node2(s89, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89)))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17032,plain,
% 4.86/4.40 ((~![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(s89, c_ready)) | (~node2(s89, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89))),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17031, 17030])).
% 4.86/4.40 tff(17033,plain,
% 4.86/4.40 ((~m_main_v_state(s89, c_ready)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89))),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17032, 166, 17029])).
% 4.86/4.40 tff(17034,plain,
% 4.86/4.40 (~m_main_v_state(s89, c_ready)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17033, 17025, 16993])).
% 4.86/4.40 tff(17035,plain,
% 4.86/4.40 (always3(s89)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6730, 113, 17021])).
% 4.86/4.40 tff(17036,plain,
% 4.86/4.40 (~m_main_v_state(s89, c_busy)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[16411, 145, 17035])).
% 4.86/4.40 tff(17037,plain,
% 4.86/4.40 (((~![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))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17038,plain,
% 4.86/4.40 ((~![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))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17039,plain,
% 4.86/4.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s89, c_busy) | m_main_v_state(s89, c_ready)),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17038, 17037])).
% 4.86/4.40 tff(17040,plain,
% 4.86/4.40 ($false),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17039, 188, 17036, 17034])).
% 4.86/4.40 tff(17041,plain,(xuntil6(s90) | (~until5(s89))), inference(lemma,lemma(discharge,[]))).
% 4.86/4.40 tff(17042,plain,
% 4.86/4.40 (xuntil6(s90)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17041, 16973])).
% 4.86/4.40 tff(17043,plain,
% 4.86/4.40 (until5(s91)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6707, 17042])).
% 4.86/4.40 tff(17044,assumption,(~xuntil6(s101)), introduced(assumption)).
% 4.86/4.40 tff(17045,assumption,(until5(s91)), introduced(assumption)).
% 4.86/4.40 tff(17046,assumption,(~always3(s101)), introduced(assumption)).
% 4.86/4.40 tff(17047,plain,
% 4.86/4.40 (~always3(s100)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5764, 17046])).
% 4.86/4.40 tff(17048,plain,
% 4.86/4.40 (~node4(s100)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6532, 113, 17047])).
% 4.86/4.40 tff(17049,plain,
% 4.86/4.40 (~node4(s101)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6514, 113, 17046])).
% 4.86/4.40 tff(17050,plain,
% 4.86/4.40 (node4(s101) | (~until5(s101))),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6521, 225, 17044])).
% 4.86/4.40 tff(17051,plain,
% 4.86/4.40 (~until5(s101)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17050, 17049])).
% 4.86/4.40 tff(17052,plain,
% 4.86/4.40 (~xuntil6(s100)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6527, 17051])).
% 4.86/4.40 tff(17053,plain,
% 4.86/4.40 (~until5(s100)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6539, 225, 17052, 17048])).
% 4.86/4.40 tff(17054,plain,
% 4.86/4.40 (~xuntil6(s99)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6545, 17053])).
% 4.86/4.40 tff(17055,plain,
% 4.86/4.40 (xuntil6(s99) | (~until5(s99))),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6557, 225, 9964])).
% 4.86/4.40 tff(17056,plain,
% 4.86/4.40 (~until5(s99)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17055, 17054])).
% 4.86/4.40 tff(17057,plain,
% 4.86/4.40 (~xuntil6(s98)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6563, 17056])).
% 4.86/4.40 tff(17058,plain,
% 4.86/4.40 (~always3(s99)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5776, 17047])).
% 4.86/4.40 tff(17059,plain,
% 4.86/4.40 (~always3(s98)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5788, 17058])).
% 4.86/4.40 tff(17060,plain,
% 4.86/4.40 (~node4(s98)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6568, 113, 17059])).
% 4.86/4.40 tff(17061,plain,
% 4.86/4.40 (xuntil6(s98) | (~until5(s98))),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6575, 225, 17060])).
% 4.86/4.40 tff(17062,plain,
% 4.86/4.40 (~until5(s98)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17061, 17057])).
% 4.86/4.40 tff(17063,plain,
% 4.86/4.40 (~xuntil6(s97)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6581, 17062])).
% 4.86/4.40 tff(17064,plain,
% 4.86/4.40 (~always3(s97)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5800, 17059])).
% 4.86/4.40 tff(17065,plain,
% 4.86/4.40 (~always3(s96)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5812, 17064])).
% 4.86/4.40 tff(17066,plain,
% 4.86/4.40 (~always3(s95)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5824, 17065])).
% 4.86/4.40 tff(17067,plain,
% 4.86/4.40 (~always3(s94)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5836, 17066])).
% 4.86/4.40 tff(17068,plain,
% 4.86/4.40 (~always3(s93)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5848, 17067])).
% 4.86/4.40 tff(17069,plain,
% 4.86/4.40 (~always3(s92)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5860, 17068])).
% 4.86/4.40 tff(17070,plain,
% 4.86/4.40 (~node4(s92)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6676, 113, 17069])).
% 4.86/4.40 tff(17071,plain,
% 4.86/4.40 (~always3(s91)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5872, 17069])).
% 4.86/4.40 tff(17072,plain,
% 4.86/4.40 (~node4(s91)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6694, 113, 17071])).
% 4.86/4.40 tff(17073,plain,
% 4.86/4.40 (xuntil6(s91) | node4(s91)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6701, 225, 17045])).
% 4.86/4.40 tff(17074,plain,
% 4.86/4.40 (xuntil6(s91)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17073, 17072])).
% 4.86/4.40 tff(17075,plain,
% 4.86/4.40 (until5(s92)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6689, 17074])).
% 4.86/4.40 tff(17076,plain,
% 4.86/4.40 (xuntil6(s92)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6683, 225, 17075, 17070])).
% 4.86/4.40 tff(17077,plain,
% 4.86/4.40 (until5(s93)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6671, 17076])).
% 4.86/4.40 tff(17078,assumption,(~always3(s95)), introduced(assumption)).
% 4.86/4.40 tff(17079,plain,
% 4.86/4.40 (~always3(s94)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5836, 17078])).
% 4.86/4.40 tff(17080,plain,
% 4.86/4.40 (~node4(s94)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6640, 113, 17079])).
% 4.86/4.40 tff(17081,plain,
% 4.86/4.40 (~node4(s95)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6622, 113, 17078])).
% 4.86/4.40 tff(17082,assumption,(~xuntil6(s95)), introduced(assumption)).
% 4.86/4.40 tff(17083,plain,
% 4.86/4.40 (node4(s95) | (~until5(s95))),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6629, 225, 17082])).
% 4.86/4.40 tff(17084,plain,
% 4.86/4.40 (~until5(s95)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17083, 17081])).
% 4.86/4.40 tff(17085,plain,
% 4.86/4.40 (~xuntil6(s94)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6635, 17084])).
% 4.86/4.40 tff(17086,plain,
% 4.86/4.40 (~always3(s93)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5848, 17079])).
% 4.86/4.40 tff(17087,plain,
% 4.86/4.40 (~node4(s93)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6658, 113, 17086])).
% 4.86/4.40 tff(17088,assumption,(until5(s93)), introduced(assumption)).
% 4.86/4.40 tff(17089,plain,
% 4.86/4.40 (xuntil6(s93) | node4(s93)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6665, 225, 17088])).
% 4.86/4.40 tff(17090,plain,
% 4.86/4.40 (xuntil6(s93)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17089, 17087])).
% 4.86/4.40 tff(17091,plain,
% 4.86/4.40 (until5(s94)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6653, 17090])).
% 4.86/4.40 tff(17092,plain,
% 4.86/4.40 ($false),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6647, 225, 17091, 17085, 17080])).
% 4.86/4.40 tff(17093,plain,(always3(s95) | (~until5(s93)) | xuntil6(s95)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.40 tff(17094,plain,
% 4.86/4.40 (xuntil6(s95)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17093, 17077, 17066])).
% 4.86/4.40 tff(17095,plain,
% 4.86/4.40 (until5(s96)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6617, 17094])).
% 4.86/4.40 tff(17096,plain,
% 4.86/4.40 (~node4(s96)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6604, 113, 17065])).
% 4.86/4.40 tff(17097,plain,
% 4.86/4.40 (xuntil6(s96) | (~until5(s96))),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6611, 225, 17096])).
% 4.86/4.40 tff(17098,plain,
% 4.86/4.40 (xuntil6(s96)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17097, 17095])).
% 4.86/4.40 tff(17099,plain,
% 4.86/4.40 (until5(s97)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6599, 17098])).
% 4.86/4.40 tff(17100,plain,
% 4.86/4.40 (xuntil6(s97) | (~until5(s97))),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6593, 225, 10022])).
% 4.86/4.40 tff(17101,plain,
% 4.86/4.40 ($false),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17100, 17099, 17063])).
% 4.86/4.40 tff(17102,plain,(always3(s101) | (~until5(s91)) | xuntil6(s101)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.40 tff(17103,plain,
% 4.86/4.40 (always3(s101)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17102, 17045, 17044])).
% 4.86/4.40 tff(17104,plain,
% 4.86/4.40 (((~![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)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17105,plain,
% 4.86/4.40 (((~m_main_v_state(s101, c_busy)) | (~always3(s101))) <=> ((~always3(s101)) | (~m_main_v_state(s101, c_busy)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17106,plain,
% 4.86/4.40 (((~![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))))),
% 4.86/4.40 inference(monotonicity,[status(thm)],[17105])).
% 4.86/4.40 tff(17107,plain,
% 4.86/4.40 (((~![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)))),
% 4.86/4.40 inference(transitivity,[status(thm)],[17106, 17104])).
% 4.86/4.40 tff(17108,plain,
% 4.86/4.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s101, c_busy)) | (~always3(s101)))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17109,plain,
% 4.86/4.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s101)) | (~m_main_v_state(s101, c_busy))),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17108, 17107])).
% 4.86/4.40 tff(17110,plain,
% 4.86/4.40 (~m_main_v_state(s101, c_busy)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17109, 145, 17103])).
% 4.86/4.40 tff(17111,assumption,(~m_main_v_state(s101, c_busy)), introduced(assumption)).
% 4.86/4.40 tff(17112,assumption,(node4(s100)), introduced(assumption)).
% 4.86/4.40 tff(17113,plain,
% 4.86/4.40 (((~![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)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17114,plain,
% 4.86/4.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s100) | (~node4(s100)))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17115,plain,
% 4.86/4.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s100) | (~node4(s100))),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17114, 17113])).
% 4.86/4.40 tff(17116,plain,
% 4.86/4.40 (m_main_v_request(s100)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17115, 63, 17112])).
% 4.86/4.40 tff(17117,plain,
% 4.86/4.40 (((~![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))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17118,plain,
% 4.86/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s100, s101)) | node2(s100, s101))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17119,plain,
% 4.86/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s100, s101)) | node2(s100, s101)),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17118, 17117])).
% 4.86/4.40 tff(17120,plain,
% 4.86/4.40 (node2(s100, s101)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17119, 7, 5760])).
% 4.86/4.40 tff(17121,plain,
% 4.86/4.40 (((~![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(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)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17122,plain,
% 4.86/4.40 ((~![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(s100, c_ready)) | (~node2(s100, s101)) | m_main_v_state(s101, c_busy) | (~m_main_v_request(s100)))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17123,plain,
% 4.86/4.40 ((~![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(s100, c_ready)) | (~node2(s100, s101)) | m_main_v_state(s101, c_busy) | (~m_main_v_request(s100))),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17122, 17121])).
% 4.86/4.40 tff(17124,plain,
% 4.86/4.40 ((~m_main_v_state(s100, c_ready)) | m_main_v_state(s101, c_busy) | (~m_main_v_request(s100))),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17123, 166, 17120])).
% 4.86/4.40 tff(17125,plain,
% 4.86/4.40 (~m_main_v_state(s100, c_ready)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17124, 17116, 17111])).
% 4.86/4.40 tff(17126,plain,
% 4.86/4.40 (always3(s100)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6532, 113, 17112])).
% 4.86/4.40 tff(17127,plain,
% 4.86/4.40 (~m_main_v_state(s100, c_busy)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[9942, 145, 17126])).
% 4.86/4.40 tff(17128,plain,
% 4.86/4.40 (((~![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))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17129,plain,
% 4.86/4.40 ((~![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))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17130,plain,
% 4.86/4.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s100, c_busy) | m_main_v_state(s100, c_ready)),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17129, 17128])).
% 4.86/4.40 tff(17131,plain,
% 4.86/4.40 ($false),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17130, 188, 17127, 17125])).
% 4.86/4.40 tff(17132,plain,((~node4(s100)) | m_main_v_state(s101, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.40 tff(17133,plain,
% 4.86/4.40 (~node4(s100)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17132, 17110])).
% 4.86/4.40 tff(17134,plain,
% 4.86/4.40 (always3(s102)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5752, 17103])).
% 4.86/4.40 tff(17135,plain,
% 4.86/4.40 (~m_main_v_state(s102, c_busy)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[9888, 145, 17134])).
% 4.86/4.40 tff(17136,plain,
% 4.86/4.40 (((~![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))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17137,plain,
% 4.86/4.40 ((~![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))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17138,plain,
% 4.86/4.40 ((~![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)),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17137, 17136])).
% 4.86/4.40 tff(17139,plain,
% 4.86/4.40 (m_main_v_state(s101, c_ready)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17138, 188, 17110])).
% 4.86/4.40 tff(17140,plain,
% 4.86/4.40 (((~![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))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17141,plain,
% 4.86/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s101, s102)) | node2(s101, s102))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17142,plain,
% 4.86/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s101, s102)) | node2(s101, s102)),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17141, 17140])).
% 4.86/4.40 tff(17143,plain,
% 4.86/4.40 (node2(s101, s102)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17142, 7, 5748])).
% 4.86/4.40 tff(17144,plain,
% 4.86/4.40 (((~![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(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)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17145,plain,
% 4.86/4.40 ((~![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(s101, c_ready)) | (~node2(s101, s102)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s101)))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17146,plain,
% 4.86/4.40 ((~![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(s101, c_ready)) | (~node2(s101, s102)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s101))),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17145, 17144])).
% 4.86/4.40 tff(17147,plain,
% 4.86/4.40 ((~m_main_v_state(s101, c_ready)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s101))),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17146, 166, 17143])).
% 4.86/4.40 tff(17148,plain,
% 4.86/4.40 (~m_main_v_request(s101)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17147, 17139, 17135])).
% 4.86/4.40 tff(17149,plain,
% 4.86/4.40 (((~![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)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17150,plain,
% 4.86/4.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s101) | (~node4(s101)))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17151,plain,
% 4.86/4.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s101) | (~node4(s101))),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17150, 17149])).
% 4.86/4.40 tff(17152,plain,
% 4.86/4.40 (~node4(s101)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17151, 63, 17148])).
% 4.86/4.40 tff(17153,plain,
% 4.86/4.40 (~until5(s101)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17050, 17152])).
% 4.86/4.40 tff(17154,plain,
% 4.86/4.40 (~xuntil6(s100)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6527, 17153])).
% 4.86/4.40 tff(17155,plain,
% 4.86/4.40 (node4(s100) | (~until5(s100))),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6539, 225, 17154])).
% 4.86/4.40 tff(17156,plain,
% 4.86/4.40 (~until5(s100)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17155, 17133])).
% 4.86/4.40 tff(17157,plain,
% 4.86/4.40 (~xuntil6(s99)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6545, 17156])).
% 4.86/4.40 tff(17158,plain,
% 4.86/4.40 (~until5(s99)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17055, 17157])).
% 4.86/4.40 tff(17159,plain,
% 4.86/4.40 (~xuntil6(s98)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6563, 17158])).
% 4.86/4.40 tff(17160,assumption,(~always3(s98)), introduced(assumption)).
% 4.86/4.40 tff(17161,plain,
% 4.86/4.40 (~always3(s97)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5800, 17160])).
% 4.86/4.40 tff(17162,plain,
% 4.86/4.40 (~always3(s96)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5812, 17161])).
% 4.86/4.40 tff(17163,plain,
% 4.86/4.40 (~always3(s95)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5824, 17162])).
% 4.86/4.40 tff(17164,plain,
% 4.86/4.40 (~node4(s96)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6604, 113, 17162])).
% 4.86/4.40 tff(17165,plain,
% 4.86/4.40 (~node4(s98)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6568, 113, 17160])).
% 4.86/4.40 tff(17166,assumption,(~xuntil6(s98)), introduced(assumption)).
% 4.86/4.40 tff(17167,plain,
% 4.86/4.40 (node4(s98) | (~until5(s98))),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6575, 225, 17166])).
% 4.86/4.40 tff(17168,plain,
% 4.86/4.40 (~until5(s98)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17167, 17165])).
% 4.86/4.40 tff(17169,plain,
% 4.86/4.40 (~xuntil6(s97)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6581, 17168])).
% 4.86/4.40 tff(17170,plain,
% 4.86/4.40 (~until5(s97)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17100, 17169])).
% 4.86/4.40 tff(17171,plain,
% 4.86/4.40 (~xuntil6(s96)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6599, 17170])).
% 4.86/4.40 tff(17172,plain,
% 4.86/4.40 (~until5(s96)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6611, 225, 17171, 17164])).
% 4.86/4.40 tff(17173,plain,
% 4.86/4.40 (~xuntil6(s95)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6617, 17172])).
% 4.86/4.40 tff(17174,plain,
% 4.86/4.40 (~always3(s94)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5836, 17163])).
% 4.86/4.40 tff(17175,plain,
% 4.86/4.40 (~always3(s93)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5848, 17174])).
% 4.86/4.40 tff(17176,plain,
% 4.86/4.40 (~always3(s92)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5860, 17175])).
% 4.86/4.40 tff(17177,plain,
% 4.86/4.40 (~node4(s92)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6676, 113, 17176])).
% 4.86/4.40 tff(17178,plain,
% 4.86/4.40 (~always3(s91)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5872, 17176])).
% 4.86/4.40 tff(17179,plain,
% 4.86/4.40 (~node4(s91)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6694, 113, 17178])).
% 4.86/4.40 tff(17180,plain,
% 4.86/4.40 (xuntil6(s91)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17073, 17179])).
% 4.86/4.40 tff(17181,plain,
% 4.86/4.40 (until5(s92)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6689, 17180])).
% 4.86/4.40 tff(17182,plain,
% 4.86/4.40 (xuntil6(s92)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6683, 225, 17181, 17177])).
% 4.86/4.40 tff(17183,plain,
% 4.86/4.40 (until5(s93)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6671, 17182])).
% 4.86/4.40 tff(17184,plain,
% 4.86/4.40 ($false),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17093, 17183, 17173, 17163])).
% 4.86/4.40 tff(17185,plain,(always3(s98) | (~until5(s91)) | xuntil6(s98)), inference(lemma,lemma(discharge,[]))).
% 4.86/4.40 tff(17186,plain,
% 4.86/4.40 (always3(s98)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17185, 17045, 17159])).
% 4.86/4.40 tff(17187,plain,
% 4.86/4.40 (always3(s99)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5788, 17186])).
% 4.86/4.40 tff(17188,plain,
% 4.86/4.40 (~m_main_v_state(s99, c_busy)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[9958, 145, 17187])).
% 4.86/4.40 tff(17189,plain,
% 4.86/4.40 (~m_main_v_state(s98, c_busy)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[10000, 145, 17186])).
% 4.86/4.40 tff(17190,plain,
% 4.86/4.40 (((~![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))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17191,plain,
% 4.86/4.40 ((~![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))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17192,plain,
% 4.86/4.40 ((~![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)),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17191, 17190])).
% 4.86/4.40 tff(17193,plain,
% 4.86/4.40 (m_main_v_state(s98, c_ready)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17192, 188, 17189])).
% 4.86/4.40 tff(17194,plain,
% 4.86/4.40 (((~![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))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17195,plain,
% 4.86/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s98, s99)) | node2(s98, s99))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17196,plain,
% 4.86/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s98, s99)) | node2(s98, s99)),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17195, 17194])).
% 4.86/4.40 tff(17197,plain,
% 4.86/4.40 (node2(s98, s99)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17196, 7, 5784])).
% 4.86/4.40 tff(17198,plain,
% 4.86/4.40 (((~![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(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)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17199,plain,
% 4.86/4.40 ((~![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(s98, c_ready)) | (~node2(s98, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s98)))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17200,plain,
% 4.86/4.40 ((~![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(s98, c_ready)) | (~node2(s98, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s98))),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17199, 17198])).
% 4.86/4.40 tff(17201,plain,
% 4.86/4.40 ((~m_main_v_state(s98, c_ready)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s98))),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17200, 166, 17197])).
% 4.86/4.40 tff(17202,plain,
% 4.86/4.40 (~m_main_v_request(s98)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17201, 17193, 17188])).
% 4.86/4.40 tff(17203,plain,
% 4.86/4.40 (((~![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)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17204,plain,
% 4.86/4.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s98) | (~node4(s98)))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17205,plain,
% 4.86/4.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s98) | (~node4(s98))),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17204, 17203])).
% 4.86/4.40 tff(17206,plain,
% 4.86/4.40 (~node4(s98)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17205, 63, 17202])).
% 4.86/4.40 tff(17207,plain,
% 4.86/4.40 (node4(s98) | (~until5(s98))),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6575, 225, 17159])).
% 4.86/4.40 tff(17208,plain,
% 4.86/4.40 (~until5(s98)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17207, 17206])).
% 4.86/4.40 tff(17209,plain,
% 4.86/4.40 (~xuntil6(s97)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6581, 17208])).
% 4.86/4.40 tff(17210,plain,
% 4.86/4.40 (~until5(s97)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17100, 17209])).
% 4.86/4.40 tff(17211,plain,
% 4.86/4.40 (~xuntil6(s96)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6599, 17210])).
% 4.86/4.40 tff(17212,assumption,(~xuntil6(s96)), introduced(assumption)).
% 4.86/4.40 tff(17213,assumption,(~always3(s96)), introduced(assumption)).
% 4.86/4.40 tff(17214,plain,
% 4.86/4.40 (~always3(s95)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5824, 17213])).
% 4.86/4.40 tff(17215,plain,
% 4.86/4.40 (xuntil6(s95)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17093, 17214, 17088])).
% 4.86/4.40 tff(17216,plain,
% 4.86/4.40 (until5(s96)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6617, 17215])).
% 4.86/4.40 tff(17217,plain,
% 4.86/4.40 (node4(s96) | (~until5(s96))),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6611, 225, 17212])).
% 4.86/4.40 tff(17218,plain,
% 4.86/4.40 (node4(s96)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17217, 17216])).
% 4.86/4.40 tff(17219,plain,
% 4.86/4.40 ($false),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6604, 113, 17213, 17218])).
% 4.86/4.40 tff(17220,plain,(always3(s96) | xuntil6(s96) | (~until5(s93))), inference(lemma,lemma(discharge,[]))).
% 4.86/4.40 tff(17221,plain,
% 4.86/4.40 (always3(s96)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17220, 17088, 17212])).
% 4.86/4.40 tff(17222,plain,
% 4.86/4.40 (always3(s97)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5812, 17221])).
% 4.86/4.40 tff(17223,plain,
% 4.86/4.40 (~m_main_v_state(s97, c_busy)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[10016, 145, 17222])).
% 4.86/4.40 tff(17224,plain,
% 4.86/4.40 (((~![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)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17225,plain,
% 4.86/4.40 (((~m_main_v_state(s96, c_busy)) | (~always3(s96))) <=> ((~always3(s96)) | (~m_main_v_state(s96, c_busy)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17226,plain,
% 4.86/4.40 (((~![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))))),
% 4.86/4.40 inference(monotonicity,[status(thm)],[17225])).
% 4.86/4.40 tff(17227,plain,
% 4.86/4.40 (((~![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)))),
% 4.86/4.40 inference(transitivity,[status(thm)],[17226, 17224])).
% 4.86/4.40 tff(17228,plain,
% 4.86/4.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s96, c_busy)) | (~always3(s96)))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17229,plain,
% 4.86/4.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s96)) | (~m_main_v_state(s96, c_busy))),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17228, 17227])).
% 4.86/4.40 tff(17230,plain,
% 4.86/4.40 (~m_main_v_state(s96, c_busy)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17229, 145, 17221])).
% 4.86/4.40 tff(17231,plain,
% 4.86/4.40 (((~![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))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17232,plain,
% 4.86/4.40 ((~![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))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17233,plain,
% 4.86/4.40 ((~![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)),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17232, 17231])).
% 4.86/4.40 tff(17234,plain,
% 4.86/4.40 (m_main_v_state(s96, c_ready)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17233, 188, 17230])).
% 4.86/4.40 tff(17235,plain,
% 4.86/4.40 (((~![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))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17236,plain,
% 4.86/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s96, s97)) | node2(s96, s97))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17237,plain,
% 4.86/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s96, s97)) | node2(s96, s97)),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17236, 17235])).
% 4.86/4.40 tff(17238,plain,
% 4.86/4.40 (node2(s96, s97)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17237, 7, 5808])).
% 4.86/4.40 tff(17239,plain,
% 4.86/4.40 (((~![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(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)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17240,plain,
% 4.86/4.40 ((~![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(s96, c_ready)) | (~node2(s96, s97)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s96)))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17241,plain,
% 4.86/4.40 ((~![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(s96, c_ready)) | (~node2(s96, s97)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s96))),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17240, 17239])).
% 4.86/4.40 tff(17242,plain,
% 4.86/4.40 ((~m_main_v_state(s96, c_ready)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s96))),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17241, 166, 17238])).
% 4.86/4.40 tff(17243,plain,
% 4.86/4.40 (~m_main_v_request(s96)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17242, 17234, 17223])).
% 4.86/4.40 tff(17244,plain,
% 4.86/4.40 (((~![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)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17245,plain,
% 4.86/4.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s96) | (~node4(s96)))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17246,plain,
% 4.86/4.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s96) | (~node4(s96))),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17245, 17244])).
% 4.86/4.40 tff(17247,plain,
% 4.86/4.40 (~node4(s96)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17246, 63, 17243])).
% 4.86/4.40 tff(17248,plain,
% 4.86/4.40 (~until5(s96)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17217, 17247])).
% 4.86/4.40 tff(17249,plain,
% 4.86/4.40 (~xuntil6(s95)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6617, 17248])).
% 4.86/4.40 tff(17250,plain,
% 4.86/4.40 (always3(s95)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17093, 17082, 17088])).
% 4.86/4.40 tff(17251,plain,
% 4.86/4.40 (always3(s96)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[5824, 17250])).
% 4.86/4.40 tff(17252,plain,
% 4.86/4.40 (~m_main_v_state(s96, c_busy)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17229, 145, 17251])).
% 4.86/4.40 tff(17253,assumption,(until5(s95)), introduced(assumption)).
% 4.86/4.40 tff(17254,plain,
% 4.86/4.40 (xuntil6(s95) | node4(s95)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[6629, 225, 17253])).
% 4.86/4.40 tff(17255,plain,
% 4.86/4.40 (node4(s95)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17254, 17082])).
% 4.86/4.40 tff(17256,plain,
% 4.86/4.40 (((~![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)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17257,plain,
% 4.86/4.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s95) | (~node4(s95)))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17258,plain,
% 4.86/4.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s95) | (~node4(s95))),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17257, 17256])).
% 4.86/4.40 tff(17259,plain,
% 4.86/4.40 (m_main_v_request(s95)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17258, 63, 17255])).
% 4.86/4.40 tff(17260,plain,
% 4.86/4.40 (((~![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))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17261,plain,
% 4.86/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s95, s96)) | node2(s95, s96))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17262,plain,
% 4.86/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s95, s96)) | node2(s95, s96)),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17261, 17260])).
% 4.86/4.40 tff(17263,plain,
% 4.86/4.40 (node2(s95, s96)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17262, 7, 5820])).
% 4.86/4.40 tff(17264,plain,
% 4.86/4.40 (((~![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(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)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17265,plain,
% 4.86/4.40 ((~![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(s95, c_ready)) | (~node2(s95, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s95)))),
% 4.86/4.40 inference(quant_inst,[status(thm)],[])).
% 4.86/4.40 tff(17266,plain,
% 4.86/4.40 ((~![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(s95, c_ready)) | (~node2(s95, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s95))),
% 4.86/4.40 inference(modus_ponens,[status(thm)],[17265, 17264])).
% 4.86/4.40 tff(17267,plain,
% 4.86/4.40 ((~m_main_v_state(s95, c_ready)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s95))),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17266, 166, 17263])).
% 4.86/4.40 tff(17268,plain,
% 4.86/4.40 (~m_main_v_state(s95, c_ready)),
% 4.86/4.40 inference(unit_resolution,[status(thm)],[17267, 17259, 17252])).
% 4.86/4.40 tff(17269,plain,
% 4.86/4.40 (((~![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)))),
% 4.86/4.40 inference(rewrite,[status(thm)],[])).
% 4.86/4.40 tff(17270,plain,
% 4.86/4.40 (((~m_main_v_state(s95, c_busy)) | (~always3(s95))) <=> ((~always3(s95)) | (~m_main_v_state(s95, c_busy)))),
% 4.86/4.41 inference(rewrite,[status(thm)],[])).
% 4.86/4.41 tff(17271,plain,
% 4.86/4.41 (((~![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))))),
% 4.86/4.41 inference(monotonicity,[status(thm)],[17270])).
% 4.86/4.41 tff(17272,plain,
% 4.86/4.41 (((~![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)))),
% 4.86/4.41 inference(transitivity,[status(thm)],[17271, 17269])).
% 4.86/4.41 tff(17273,plain,
% 4.86/4.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s95, c_busy)) | (~always3(s95)))),
% 4.86/4.41 inference(quant_inst,[status(thm)],[])).
% 4.86/4.41 tff(17274,plain,
% 4.86/4.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s95)) | (~m_main_v_state(s95, c_busy))),
% 4.86/4.41 inference(modus_ponens,[status(thm)],[17273, 17272])).
% 4.86/4.41 tff(17275,plain,
% 4.86/4.41 (~m_main_v_state(s95, c_busy)),
% 4.86/4.41 inference(unit_resolution,[status(thm)],[17274, 145, 17250])).
% 4.86/4.41 tff(17276,plain,
% 4.86/4.41 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s95, c_busy) | m_main_v_state(s95, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s95, c_busy) | m_main_v_state(s95, c_ready))),
% 4.86/4.41 inference(rewrite,[status(thm)],[])).
% 4.86/4.41 tff(17277,plain,
% 4.86/4.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s95, c_busy) | m_main_v_state(s95, c_ready))),
% 4.86/4.41 inference(quant_inst,[status(thm)],[])).
% 4.86/4.41 tff(17278,plain,
% 4.86/4.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s95, c_busy) | m_main_v_state(s95, c_ready)),
% 4.86/4.41 inference(modus_ponens,[status(thm)],[17277, 17276])).
% 4.86/4.41 tff(17279,plain,
% 4.86/4.41 ($false),
% 4.86/4.41 inference(unit_resolution,[status(thm)],[17278, 188, 17275, 17268])).
% 4.86/4.41 tff(17280,plain,(xuntil6(s95) | (~until5(s95)) | (~until5(s93))), inference(lemma,lemma(discharge,[]))).
% 4.86/4.41 tff(17281,plain,
% 4.86/4.41 (~until5(s95)),
% 4.86/4.41 inference(unit_resolution,[status(thm)],[17280, 17249, 17088])).
% 4.86/4.41 tff(17282,plain,
% 4.86/4.41 (~xuntil6(s94)),
% 4.86/4.41 inference(unit_resolution,[status(thm)],[6635, 17281])).
% 4.86/4.41 tff(17283,plain,
% 4.86/4.41 (xuntil6(s93) | (~until5(s93))),
% 4.86/4.41 inference(unit_resolution,[status(thm)],[6665, 225, 10104])).
% 4.86/4.41 tff(17284,plain,
% 4.86/4.41 (xuntil6(s93)),
% 4.86/4.41 inference(unit_resolution,[status(thm)],[17283, 17088])).
% 4.86/4.41 tff(17285,plain,
% 4.86/4.41 (until5(s94)),
% 4.86/4.41 inference(unit_resolution,[status(thm)],[6653, 17284])).
% 4.86/4.41 tff(17286,plain,
% 4.86/4.41 (xuntil6(s94) | node4(s94)),
% 4.86/4.41 inference(unit_resolution,[status(thm)],[6647, 225, 17285])).
% 4.86/4.41 tff(17287,plain,
% 4.86/4.41 (node4(s94)),
% 4.86/4.41 inference(unit_resolution,[status(thm)],[17286, 17282])).
% 4.86/4.41 tff(17288,assumption,(~m_main_v_state(s95, c_busy)), introduced(assumption)).
% 4.86/4.41 tff(17289,assumption,(node4(s94)), introduced(assumption)).
% 4.86/4.41 tff(17290,plain,
% 4.86/4.41 (((~![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)))),
% 4.86/4.41 inference(rewrite,[status(thm)],[])).
% 4.86/4.41 tff(17291,plain,
% 4.86/4.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s94) | (~node4(s94)))),
% 4.86/4.41 inference(quant_inst,[status(thm)],[])).
% 4.86/4.41 tff(17292,plain,
% 4.86/4.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s94) | (~node4(s94))),
% 4.86/4.41 inference(modus_ponens,[status(thm)],[17291, 17290])).
% 4.86/4.41 tff(17293,plain,
% 4.86/4.41 (m_main_v_request(s94)),
% 4.86/4.41 inference(unit_resolution,[status(thm)],[17292, 63, 17289])).
% 4.86/4.41 tff(17294,plain,
% 4.86/4.41 (((~![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))),
% 4.86/4.41 inference(rewrite,[status(thm)],[])).
% 4.86/4.41 tff(17295,plain,
% 4.93/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s94, s95)) | node2(s94, s95))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17296,plain,
% 4.93/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s94, s95)) | node2(s94, s95)),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17295, 17294])).
% 4.93/4.41 tff(17297,plain,
% 4.93/4.41 (node2(s94, s95)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17296, 7, 5832])).
% 4.93/4.41 tff(17298,plain,
% 4.93/4.41 (((~![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(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)))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17299,plain,
% 4.93/4.41 ((~![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(s94, c_ready)) | (~node2(s94, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94)))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17300,plain,
% 4.93/4.41 ((~![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(s94, c_ready)) | (~node2(s94, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94))),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17299, 17298])).
% 4.93/4.41 tff(17301,plain,
% 4.93/4.41 ((~m_main_v_state(s94, c_ready)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94))),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17300, 166, 17297])).
% 4.93/4.41 tff(17302,plain,
% 4.93/4.41 (~m_main_v_state(s94, c_ready)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17301, 17293, 17288])).
% 4.93/4.41 tff(17303,plain,
% 4.93/4.41 (always3(s94)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[6640, 113, 17289])).
% 4.93/4.41 tff(17304,plain,
% 4.93/4.41 (~m_main_v_state(s94, c_busy)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[10082, 145, 17303])).
% 4.93/4.41 tff(17305,plain,
% 4.93/4.41 (((~![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))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17306,plain,
% 4.93/4.41 ((~![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))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17307,plain,
% 4.93/4.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s94, c_busy) | m_main_v_state(s94, c_ready)),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17306, 17305])).
% 4.93/4.41 tff(17308,plain,
% 4.93/4.41 ($false),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17307, 188, 17304, 17302])).
% 4.93/4.41 tff(17309,plain,((~node4(s94)) | m_main_v_state(s95, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.41 tff(17310,plain,
% 4.93/4.41 (m_main_v_state(s95, c_busy)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17309, 17287])).
% 4.93/4.41 tff(17311,plain,
% 4.93/4.41 (always3(s95)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17093, 17249, 17088])).
% 4.93/4.41 tff(17312,plain,
% 4.93/4.41 ($false),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17274, 145, 17311, 17310])).
% 4.93/4.41 tff(17313,plain,((~until5(s93)) | xuntil6(s96)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.41 tff(17314,plain,
% 4.93/4.41 (~until5(s93)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17313, 17211])).
% 4.93/4.41 tff(17315,plain,
% 4.93/4.41 (~xuntil6(s92)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[6671, 17314])).
% 4.93/4.41 tff(17316,assumption,(~always3(s92)), introduced(assumption)).
% 4.93/4.41 tff(17317,plain,
% 4.93/4.41 (~node4(s92)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[6676, 113, 17316])).
% 4.93/4.41 tff(17318,assumption,(~xuntil6(s92)), introduced(assumption)).
% 4.93/4.41 tff(17319,plain,
% 4.93/4.41 (node4(s92) | (~until5(s92))),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[6683, 225, 17318])).
% 4.93/4.41 tff(17320,plain,
% 4.93/4.41 (~until5(s92)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17319, 17317])).
% 4.93/4.41 tff(17321,plain,
% 4.93/4.41 (~always3(s91)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[5872, 17316])).
% 4.93/4.41 tff(17322,plain,
% 4.93/4.41 (~node4(s91)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[6694, 113, 17321])).
% 4.93/4.41 tff(17323,plain,
% 4.93/4.41 (xuntil6(s91)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17073, 17322])).
% 4.93/4.41 tff(17324,plain,
% 4.93/4.41 ($false),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[6689, 17323, 17320])).
% 4.93/4.41 tff(17325,plain,(always3(s92) | (~until5(s91)) | xuntil6(s92)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.41 tff(17326,plain,
% 4.93/4.41 (always3(s92)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17325, 17045, 17315])).
% 4.93/4.41 tff(17327,plain,
% 4.93/4.41 (((~![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)))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17328,plain,
% 4.93/4.41 (((~m_main_v_state(s92, c_busy)) | (~always3(s92))) <=> ((~always3(s92)) | (~m_main_v_state(s92, c_busy)))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17329,plain,
% 4.93/4.41 (((~![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))))),
% 4.93/4.41 inference(monotonicity,[status(thm)],[17328])).
% 4.93/4.41 tff(17330,plain,
% 4.93/4.41 (((~![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)))),
% 4.93/4.41 inference(transitivity,[status(thm)],[17329, 17327])).
% 4.93/4.41 tff(17331,plain,
% 4.93/4.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s92, c_busy)) | (~always3(s92)))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17332,plain,
% 4.93/4.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s92)) | (~m_main_v_state(s92, c_busy))),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17331, 17330])).
% 4.93/4.41 tff(17333,plain,
% 4.93/4.41 (~m_main_v_state(s92, c_busy)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17332, 145, 17326])).
% 4.93/4.41 tff(17334,plain,
% 4.93/4.41 (always3(s93)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[5860, 17326])).
% 4.93/4.41 tff(17335,plain,
% 4.93/4.41 (~m_main_v_state(s93, c_busy)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[10098, 145, 17334])).
% 4.93/4.41 tff(17336,plain,
% 4.93/4.41 (((~![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))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17337,plain,
% 4.93/4.41 ((~![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))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17338,plain,
% 4.93/4.41 ((~![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)),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17337, 17336])).
% 4.93/4.41 tff(17339,plain,
% 4.93/4.41 (m_main_v_state(s92, c_ready)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17338, 188, 17333])).
% 4.93/4.41 tff(17340,plain,
% 4.93/4.41 (((~![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))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17341,plain,
% 4.93/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s92, s93)) | node2(s92, s93))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17342,plain,
% 4.93/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s92, s93)) | node2(s92, s93)),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17341, 17340])).
% 4.93/4.41 tff(17343,plain,
% 4.93/4.41 (node2(s92, s93)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17342, 7, 5856])).
% 4.93/4.41 tff(17344,plain,
% 4.93/4.41 (((~![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(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)))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17345,plain,
% 4.93/4.41 ((~![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(s92, c_ready)) | (~node2(s92, s93)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s92)))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17346,plain,
% 4.93/4.41 ((~![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(s92, c_ready)) | (~node2(s92, s93)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s92))),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17345, 17344])).
% 4.93/4.41 tff(17347,plain,
% 4.93/4.41 ((~m_main_v_state(s92, c_ready)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s92))),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17346, 166, 17343])).
% 4.93/4.41 tff(17348,plain,
% 4.93/4.41 (~m_main_v_request(s92)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17347, 17339, 17335])).
% 4.93/4.41 tff(17349,plain,
% 4.93/4.41 (((~![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)))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17350,plain,
% 4.93/4.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s92) | (~node4(s92)))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17351,plain,
% 4.93/4.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s92) | (~node4(s92))),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17350, 17349])).
% 4.93/4.41 tff(17352,plain,
% 4.93/4.41 (~node4(s92)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17351, 63, 17348])).
% 4.93/4.41 tff(17353,plain,
% 4.93/4.41 (node4(s92) | (~until5(s92))),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[6683, 225, 17315])).
% 4.93/4.41 tff(17354,plain,
% 4.93/4.41 (~until5(s92)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17353, 17352])).
% 4.93/4.41 tff(17355,plain,
% 4.93/4.41 (~xuntil6(s91)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[6689, 17354])).
% 4.93/4.41 tff(17356,plain,
% 4.93/4.41 (node4(s91)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17073, 17355])).
% 4.93/4.41 tff(17357,plain,
% 4.93/4.41 (((~![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)))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17358,plain,
% 4.93/4.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s91) | (~node4(s91)))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17359,plain,
% 4.93/4.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s91) | (~node4(s91))),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17358, 17357])).
% 4.93/4.41 tff(17360,plain,
% 4.93/4.41 (m_main_v_request(s91)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17359, 63, 17356])).
% 4.93/4.41 tff(17361,plain,
% 4.93/4.41 (((~![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))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17362,plain,
% 4.93/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s91, s92)) | node2(s91, s92))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17363,plain,
% 4.93/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s91, s92)) | node2(s91, s92)),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17362, 17361])).
% 4.93/4.41 tff(17364,plain,
% 4.93/4.41 (node2(s91, s92)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17363, 7, 5868])).
% 4.93/4.41 tff(17365,plain,
% 4.93/4.41 (((~![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(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)))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17366,plain,
% 4.93/4.41 ((~![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(s91, c_ready)) | (~node2(s91, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91)))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17367,plain,
% 4.93/4.41 ((~![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(s91, c_ready)) | (~node2(s91, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91))),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17366, 17365])).
% 4.93/4.41 tff(17368,plain,
% 4.93/4.41 ((~m_main_v_state(s91, c_ready)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91))),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17367, 166, 17364])).
% 4.93/4.41 tff(17369,plain,
% 4.93/4.41 (~m_main_v_state(s91, c_ready)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17368, 17360, 17333])).
% 4.93/4.41 tff(17370,plain,
% 4.93/4.41 (always3(s91)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[6694, 113, 17356])).
% 4.93/4.41 tff(17371,plain,
% 4.93/4.41 (~m_main_v_state(s91, c_busy)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17000, 145, 17370])).
% 4.93/4.41 tff(17372,plain,
% 4.93/4.41 (((~![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))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17373,plain,
% 4.93/4.41 ((~![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))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17374,plain,
% 4.93/4.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s91, c_busy) | m_main_v_state(s91, c_ready)),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17373, 17372])).
% 4.93/4.41 tff(17375,plain,
% 4.93/4.41 ($false),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17374, 188, 17371, 17369])).
% 4.93/4.41 tff(17376,plain,((~until5(s91)) | xuntil6(s101)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.41 tff(17377,plain,
% 4.93/4.41 (xuntil6(s101)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17376, 17043])).
% 4.93/4.41 tff(17378,plain,
% 4.93/4.41 (until5(s102)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[6509, 17377])).
% 4.93/4.41 tff(17379,plain,
% 4.93/4.41 (xuntil6(s102) | (~until5(s102))),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[6504, 225, 9894])).
% 4.93/4.41 tff(17380,plain,
% 4.93/4.41 (xuntil6(s102)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17379, 17378])).
% 4.93/4.41 tff(17381,plain,
% 4.93/4.41 (until5(s103)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[6497, 17380])).
% 4.93/4.41 tff(17382,assumption,(~xuntil6(s104)), introduced(assumption)).
% 4.93/4.41 tff(17383,assumption,(~always3(s104)), introduced(assumption)).
% 4.93/4.41 tff(17384,plain,
% 4.93/4.41 (~always3(s103)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[5728, 17383])).
% 4.93/4.41 tff(17385,plain,
% 4.93/4.41 (xuntil6(s103)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[7588, 17384, 7086])).
% 4.93/4.41 tff(17386,plain,
% 4.93/4.41 (until5(s104)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[7593, 17385])).
% 4.93/4.41 tff(17387,plain,
% 4.93/4.41 (node4(s104) | (~until5(s104))),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[7600, 225, 17382])).
% 4.93/4.41 tff(17388,plain,
% 4.93/4.41 (node4(s104)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17387, 17386])).
% 4.93/4.41 tff(17389,plain,
% 4.93/4.41 ($false),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[5716, 113, 17383, 17388])).
% 4.93/4.41 tff(17390,plain,(always3(s104) | xuntil6(s104) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 4.93/4.41 tff(17391,plain,
% 4.93/4.41 (always3(s104)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17390, 17382, 7086])).
% 4.93/4.41 tff(17392,plain,
% 4.93/4.41 (((~![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)))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17393,plain,
% 4.93/4.41 (((~m_main_v_state(s104, c_busy)) | (~always3(s104))) <=> ((~always3(s104)) | (~m_main_v_state(s104, c_busy)))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17394,plain,
% 4.93/4.41 (((~![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))))),
% 4.93/4.41 inference(monotonicity,[status(thm)],[17393])).
% 4.93/4.41 tff(17395,plain,
% 4.93/4.41 (((~![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)))),
% 4.93/4.41 inference(transitivity,[status(thm)],[17394, 17392])).
% 4.93/4.41 tff(17396,plain,
% 4.93/4.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s104, c_busy)) | (~always3(s104)))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17397,plain,
% 4.93/4.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s104)) | (~m_main_v_state(s104, c_busy))),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17396, 17395])).
% 4.93/4.41 tff(17398,plain,
% 4.93/4.41 (~m_main_v_state(s104, c_busy)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17397, 145, 17391])).
% 4.93/4.41 tff(17399,plain,
% 4.93/4.41 (always3(s105)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[5712, 17391])).
% 4.93/4.41 tff(17400,plain,
% 4.93/4.41 (((~![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)))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17401,plain,
% 4.93/4.41 (((~m_main_v_state(s105, c_busy)) | (~always3(s105))) <=> ((~always3(s105)) | (~m_main_v_state(s105, c_busy)))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17402,plain,
% 4.93/4.41 (((~![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))))),
% 4.93/4.41 inference(monotonicity,[status(thm)],[17401])).
% 4.93/4.41 tff(17403,plain,
% 4.93/4.41 (((~![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)))),
% 4.93/4.41 inference(transitivity,[status(thm)],[17402, 17400])).
% 4.93/4.41 tff(17404,plain,
% 4.93/4.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s105, c_busy)) | (~always3(s105)))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17405,plain,
% 4.93/4.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s105)) | (~m_main_v_state(s105, c_busy))),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17404, 17403])).
% 4.93/4.41 tff(17406,plain,
% 4.93/4.41 (~m_main_v_state(s105, c_busy)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17405, 145, 17399])).
% 4.93/4.41 tff(17407,plain,
% 4.93/4.41 (((~![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))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17408,plain,
% 4.93/4.41 ((~![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))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17409,plain,
% 4.93/4.41 ((~![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)),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17408, 17407])).
% 4.93/4.41 tff(17410,plain,
% 4.93/4.41 (m_main_v_state(s104, c_ready)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17409, 188, 17398])).
% 4.93/4.41 tff(17411,plain,
% 4.93/4.41 (((~![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))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17412,plain,
% 4.93/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s104, s105)) | node2(s104, s105))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17413,plain,
% 4.93/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s104, s105)) | node2(s104, s105)),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17412, 17411])).
% 4.93/4.41 tff(17414,plain,
% 4.93/4.41 (node2(s104, s105)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17413, 7, 5708])).
% 4.93/4.41 tff(17415,plain,
% 4.93/4.41 (((~![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(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)))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17416,plain,
% 4.93/4.41 ((~![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(s104, c_ready)) | (~node2(s104, s105)) | m_main_v_state(s105, c_busy) | (~m_main_v_request(s104)))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17417,plain,
% 4.93/4.41 ((~![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(s104, c_ready)) | (~node2(s104, s105)) | m_main_v_state(s105, c_busy) | (~m_main_v_request(s104))),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17416, 17415])).
% 4.93/4.41 tff(17418,plain,
% 4.93/4.41 ((~m_main_v_state(s104, c_ready)) | m_main_v_state(s105, c_busy) | (~m_main_v_request(s104))),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17417, 166, 17414])).
% 4.93/4.41 tff(17419,plain,
% 4.93/4.41 (~m_main_v_request(s104)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17418, 17410, 17406])).
% 4.93/4.41 tff(17420,plain,
% 4.93/4.41 (((~![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)))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17421,plain,
% 4.93/4.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s104) | (~node4(s104)))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17422,plain,
% 4.93/4.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s104) | (~node4(s104))),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17421, 17420])).
% 4.93/4.41 tff(17423,plain,
% 4.93/4.41 (~node4(s104)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17422, 63, 17419])).
% 4.93/4.41 tff(17424,plain,
% 4.93/4.41 (~until5(s104)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17387, 17423])).
% 4.93/4.41 tff(17425,plain,
% 4.93/4.41 (~xuntil6(s103)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[7593, 17424])).
% 4.93/4.41 tff(17426,assumption,(until5(s103)), introduced(assumption)).
% 4.93/4.41 tff(17427,plain,
% 4.93/4.41 (xuntil6(s103) | node4(s103)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[6491, 225, 17426])).
% 4.93/4.41 tff(17428,plain,
% 4.93/4.41 (node4(s103)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17427, 17425])).
% 4.93/4.41 tff(17429,plain,
% 4.93/4.41 (((~![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)))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17430,plain,
% 4.93/4.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s103) | (~node4(s103)))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17431,plain,
% 4.93/4.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s103) | (~node4(s103))),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17430, 17429])).
% 4.93/4.41 tff(17432,plain,
% 4.93/4.41 (m_main_v_request(s103)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17431, 63, 17428])).
% 4.93/4.41 tff(17433,plain,
% 4.93/4.41 (((~![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))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17434,plain,
% 4.93/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s103, s104)) | node2(s103, s104))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17435,plain,
% 4.93/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s103, s104)) | node2(s103, s104)),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17434, 17433])).
% 4.93/4.41 tff(17436,plain,
% 4.93/4.41 (node2(s103, s104)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17435, 7, 5724])).
% 4.93/4.41 tff(17437,plain,
% 4.93/4.41 (((~![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(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)))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17438,plain,
% 4.93/4.41 ((~![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(s103, c_ready)) | (~node2(s103, s104)) | m_main_v_state(s104, c_busy) | (~m_main_v_request(s103)))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17439,plain,
% 4.93/4.41 ((~![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(s103, c_ready)) | (~node2(s103, s104)) | m_main_v_state(s104, c_busy) | (~m_main_v_request(s103))),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17438, 17437])).
% 4.93/4.41 tff(17440,plain,
% 4.93/4.41 ((~m_main_v_state(s103, c_ready)) | m_main_v_state(s104, c_busy) | (~m_main_v_request(s103))),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17439, 166, 17436])).
% 4.93/4.41 tff(17441,plain,
% 4.93/4.41 (~m_main_v_state(s103, c_ready)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17440, 17432, 17398])).
% 4.93/4.41 tff(17442,plain,
% 4.93/4.41 (always3(s103)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[7588, 17425, 7086])).
% 4.93/4.41 tff(17443,plain,
% 4.93/4.41 (~m_main_v_state(s103, c_busy)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[9872, 145, 17442])).
% 4.93/4.41 tff(17444,plain,
% 4.93/4.41 (((~![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))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17445,plain,
% 4.93/4.41 ((~![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))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17446,plain,
% 4.93/4.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s103, c_busy) | m_main_v_state(s103, c_ready)),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17445, 17444])).
% 4.93/4.41 tff(17447,plain,
% 4.93/4.41 ($false),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17446, 188, 17443, 17441])).
% 4.93/4.41 tff(17448,plain,(xuntil6(s104) | (~until5(s103)) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 4.93/4.41 tff(17449,plain,
% 4.93/4.41 (xuntil6(s104)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17448, 17381, 16184])).
% 4.93/4.41 tff(17450,plain,
% 4.93/4.41 (until5(s105)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[7605, 17449])).
% 4.93/4.41 tff(17451,assumption,(~xuntil6(s106)), introduced(assumption)).
% 4.93/4.41 tff(17452,assumption,(~always3(s106)), introduced(assumption)).
% 4.93/4.41 tff(17453,plain,
% 4.93/4.41 (~always3(s105)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[5700, 17452])).
% 4.93/4.41 tff(17454,plain,
% 4.93/4.41 (~node4(s105)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[7609, 113, 17453])).
% 4.93/4.41 tff(17455,plain,
% 4.93/4.41 (~node4(s106)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[7626, 113, 17452])).
% 4.93/4.41 tff(17456,plain,
% 4.93/4.41 (node4(s106) | (~until5(s106))),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[7633, 225, 17451])).
% 4.93/4.41 tff(17457,plain,
% 4.93/4.41 (~until5(s106)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17456, 17455])).
% 4.93/4.41 tff(17458,plain,
% 4.93/4.41 (~xuntil6(s105)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[7622, 17457])).
% 4.93/4.41 tff(17459,plain,
% 4.93/4.41 (~always3(s104)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[5712, 17453])).
% 4.93/4.41 tff(17460,plain,
% 4.93/4.41 (~node4(s104)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[5716, 113, 17459])).
% 4.93/4.41 tff(17461,plain,
% 4.93/4.41 (~always3(s103)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[5728, 17459])).
% 4.93/4.41 tff(17462,plain,
% 4.93/4.41 (xuntil6(s103)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[7588, 17461, 7086])).
% 4.93/4.41 tff(17463,plain,
% 4.93/4.41 (until5(s104)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[7593, 17462])).
% 4.93/4.41 tff(17464,plain,
% 4.93/4.41 (xuntil6(s104) | node4(s104)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[7600, 225, 17463])).
% 4.93/4.41 tff(17465,plain,
% 4.93/4.41 (xuntil6(s104)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17464, 17460])).
% 4.93/4.41 tff(17466,plain,
% 4.93/4.41 (until5(s105)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[7605, 17465])).
% 4.93/4.41 tff(17467,plain,
% 4.93/4.41 ($false),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[7616, 225, 17466, 17458, 17454])).
% 4.93/4.41 tff(17468,plain,(always3(s106) | xuntil6(s106) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 4.93/4.41 tff(17469,plain,
% 4.93/4.41 (always3(s106)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17468, 17451, 7086])).
% 4.93/4.41 tff(17470,plain,
% 4.93/4.41 (always3(s107)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[5688, 17469])).
% 4.93/4.41 tff(17471,plain,
% 4.93/4.41 (((~![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)))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17472,plain,
% 4.93/4.41 (((~m_main_v_state(s107, c_busy)) | (~always3(s107))) <=> ((~always3(s107)) | (~m_main_v_state(s107, c_busy)))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17473,plain,
% 4.93/4.41 (((~![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))))),
% 4.93/4.41 inference(monotonicity,[status(thm)],[17472])).
% 4.93/4.41 tff(17474,plain,
% 4.93/4.41 (((~![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)))),
% 4.93/4.41 inference(transitivity,[status(thm)],[17473, 17471])).
% 4.93/4.41 tff(17475,plain,
% 4.93/4.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s107, c_busy)) | (~always3(s107)))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17476,plain,
% 4.93/4.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s107)) | (~m_main_v_state(s107, c_busy))),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17475, 17474])).
% 4.93/4.41 tff(17477,plain,
% 4.93/4.41 (~m_main_v_state(s107, c_busy)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17476, 145, 17470])).
% 4.93/4.41 tff(17478,assumption,(until5(s106)), introduced(assumption)).
% 4.93/4.41 tff(17479,plain,
% 4.93/4.41 (xuntil6(s106) | node4(s106)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[7633, 225, 17478])).
% 4.93/4.41 tff(17480,plain,
% 4.93/4.41 (node4(s106)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17479, 17451])).
% 4.93/4.41 tff(17481,plain,
% 4.93/4.41 (((~![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)))),
% 4.93/4.41 inference(rewrite,[status(thm)],[])).
% 4.93/4.41 tff(17482,plain,
% 4.93/4.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s106) | (~node4(s106)))),
% 4.93/4.41 inference(quant_inst,[status(thm)],[])).
% 4.93/4.41 tff(17483,plain,
% 4.93/4.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s106) | (~node4(s106))),
% 4.93/4.41 inference(modus_ponens,[status(thm)],[17482, 17481])).
% 4.93/4.41 tff(17484,plain,
% 4.93/4.41 (m_main_v_request(s106)),
% 4.93/4.41 inference(unit_resolution,[status(thm)],[17483, 63, 17480])).
% 4.93/4.42 tff(17485,plain,
% 4.93/4.42 (((~![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))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17486,plain,
% 4.93/4.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s106, s107)) | node2(s106, s107))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17487,plain,
% 4.93/4.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s106, s107)) | node2(s106, s107)),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17486, 17485])).
% 4.93/4.42 tff(17488,plain,
% 4.93/4.42 (node2(s106, s107)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17487, 7, 5684])).
% 4.93/4.42 tff(17489,plain,
% 4.93/4.42 (((~![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(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)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17490,plain,
% 4.93/4.42 ((~![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(s106, c_ready)) | (~node2(s106, s107)) | m_main_v_state(s107, c_busy) | (~m_main_v_request(s106)))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17491,plain,
% 4.93/4.42 ((~![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(s106, c_ready)) | (~node2(s106, s107)) | m_main_v_state(s107, c_busy) | (~m_main_v_request(s106))),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17490, 17489])).
% 4.93/4.42 tff(17492,plain,
% 4.93/4.42 ((~m_main_v_state(s106, c_ready)) | m_main_v_state(s107, c_busy) | (~m_main_v_request(s106))),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17491, 166, 17488])).
% 4.93/4.42 tff(17493,plain,
% 4.93/4.42 (~m_main_v_state(s106, c_ready)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17492, 17484, 17477])).
% 4.93/4.42 tff(17494,plain,
% 4.93/4.42 (((~![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))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17495,plain,
% 4.93/4.42 ((~![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))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17496,plain,
% 4.93/4.42 ((~![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)),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17495, 17494])).
% 4.93/4.42 tff(17497,plain,
% 4.93/4.42 (m_main_v_state(s106, c_busy)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17496, 188, 17493])).
% 4.93/4.42 tff(17498,plain,
% 4.93/4.42 (((~![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)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17499,plain,
% 4.93/4.42 (((~m_main_v_state(s106, c_busy)) | (~always3(s106))) <=> ((~always3(s106)) | (~m_main_v_state(s106, c_busy)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17500,plain,
% 4.93/4.42 (((~![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))))),
% 4.93/4.42 inference(monotonicity,[status(thm)],[17499])).
% 4.93/4.42 tff(17501,plain,
% 4.93/4.42 (((~![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)))),
% 4.93/4.42 inference(transitivity,[status(thm)],[17500, 17498])).
% 4.93/4.42 tff(17502,plain,
% 4.93/4.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s106, c_busy)) | (~always3(s106)))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17503,plain,
% 4.93/4.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s106)) | (~m_main_v_state(s106, c_busy))),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17502, 17501])).
% 4.93/4.42 tff(17504,plain,
% 4.93/4.42 ($false),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17503, 145, 17469, 17497])).
% 4.93/4.42 tff(17505,plain,(xuntil6(s106) | (~until5(s106)) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 4.93/4.42 tff(17506,plain,
% 4.93/4.42 (~until5(s106)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17505, 17451, 7086])).
% 4.93/4.42 tff(17507,plain,
% 4.93/4.42 (~xuntil6(s105)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7622, 17506])).
% 4.93/4.42 tff(17508,assumption,(until5(s105)), introduced(assumption)).
% 4.93/4.42 tff(17509,plain,
% 4.93/4.42 (xuntil6(s105) | node4(s105)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7616, 225, 17508])).
% 4.93/4.42 tff(17510,plain,
% 4.93/4.42 (node4(s105)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17509, 17507])).
% 4.93/4.42 tff(17511,assumption,(~m_main_v_state(s106, c_busy)), introduced(assumption)).
% 4.93/4.42 tff(17512,assumption,(node4(s105)), introduced(assumption)).
% 4.93/4.42 tff(17513,plain,
% 4.93/4.42 (((~![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)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17514,plain,
% 4.93/4.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s105) | (~node4(s105)))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17515,plain,
% 4.93/4.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s105) | (~node4(s105))),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17514, 17513])).
% 4.93/4.42 tff(17516,plain,
% 4.93/4.42 (m_main_v_request(s105)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17515, 63, 17512])).
% 4.93/4.42 tff(17517,plain,
% 4.93/4.42 (((~![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))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17518,plain,
% 4.93/4.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s105, s106)) | node2(s105, s106))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17519,plain,
% 4.93/4.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s105, s106)) | node2(s105, s106)),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17518, 17517])).
% 4.93/4.42 tff(17520,plain,
% 4.93/4.42 (node2(s105, s106)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17519, 7, 5696])).
% 4.93/4.42 tff(17521,plain,
% 4.93/4.42 (((~![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(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)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17522,plain,
% 4.93/4.42 ((~![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(s105, c_ready)) | (~node2(s105, s106)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s105)))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17523,plain,
% 4.93/4.42 ((~![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(s105, c_ready)) | (~node2(s105, s106)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s105))),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17522, 17521])).
% 4.93/4.42 tff(17524,plain,
% 4.93/4.42 ((~m_main_v_state(s105, c_ready)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s105))),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17523, 166, 17520])).
% 4.93/4.42 tff(17525,plain,
% 4.93/4.42 (~m_main_v_state(s105, c_ready)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17524, 17516, 17511])).
% 4.93/4.42 tff(17526,plain,
% 4.93/4.42 (always3(s105)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7609, 113, 17512])).
% 4.93/4.42 tff(17527,plain,
% 4.93/4.42 (~m_main_v_state(s105, c_busy)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17405, 145, 17526])).
% 4.93/4.42 tff(17528,plain,
% 4.93/4.42 (((~![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))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17529,plain,
% 4.93/4.42 ((~![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))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17530,plain,
% 4.93/4.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s105, c_busy) | m_main_v_state(s105, c_ready)),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17529, 17528])).
% 4.93/4.42 tff(17531,plain,
% 4.93/4.42 ($false),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17530, 188, 17527, 17525])).
% 4.93/4.42 tff(17532,plain,((~node4(s105)) | m_main_v_state(s106, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.42 tff(17533,plain,
% 4.93/4.42 (m_main_v_state(s106, c_busy)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17532, 17510])).
% 4.93/4.42 tff(17534,plain,
% 4.93/4.42 ($false),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17503, 145, 17469, 17533])).
% 4.93/4.42 tff(17535,plain,(xuntil6(s106) | (~until5(s105)) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 4.93/4.42 tff(17536,plain,
% 4.93/4.42 (xuntil6(s106)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17535, 17450, 16184])).
% 4.93/4.42 tff(17537,plain,
% 4.93/4.42 (until5(s107)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7639, 17536])).
% 4.93/4.42 tff(17538,assumption,(~xuntil6(s108)), introduced(assumption)).
% 4.93/4.42 tff(17539,assumption,(~always3(s108)), introduced(assumption)).
% 4.93/4.42 tff(17540,plain,
% 4.93/4.42 (~always3(s107)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[5676, 17539])).
% 4.93/4.42 tff(17541,plain,
% 4.93/4.42 (~node4(s107)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7643, 113, 17540])).
% 4.93/4.42 tff(17542,plain,
% 4.93/4.42 (~node4(s108)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7660, 113, 17539])).
% 4.93/4.42 tff(17543,plain,
% 4.93/4.42 (node4(s108) | (~until5(s108))),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7667, 225, 17538])).
% 4.93/4.42 tff(17544,plain,
% 4.93/4.42 (~until5(s108)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17543, 17542])).
% 4.93/4.42 tff(17545,plain,
% 4.93/4.42 (~xuntil6(s107)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7656, 17544])).
% 4.93/4.42 tff(17546,plain,
% 4.93/4.42 (~until5(s107)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7650, 225, 17545, 17541])).
% 4.93/4.42 tff(17547,plain,
% 4.93/4.42 (~xuntil6(s106)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7639, 17546])).
% 4.93/4.42 tff(17548,plain,
% 4.93/4.42 (~always3(s106)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[5688, 17540])).
% 4.93/4.42 tff(17549,plain,
% 4.93/4.42 (~always3(s105)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[5700, 17548])).
% 4.93/4.42 tff(17550,plain,
% 4.93/4.42 (~node4(s105)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7609, 113, 17549])).
% 4.93/4.42 tff(17551,plain,
% 4.93/4.42 (~always3(s104)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[5712, 17549])).
% 4.93/4.42 tff(17552,plain,
% 4.93/4.42 (~node4(s104)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[5716, 113, 17551])).
% 4.93/4.42 tff(17553,plain,
% 4.93/4.42 (~always3(s103)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[5728, 17551])).
% 4.93/4.42 tff(17554,plain,
% 4.93/4.42 (xuntil6(s103)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7588, 17553, 7086])).
% 4.93/4.42 tff(17555,plain,
% 4.93/4.42 (until5(s104)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7593, 17554])).
% 4.93/4.42 tff(17556,plain,
% 4.93/4.42 (xuntil6(s104) | node4(s104)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7600, 225, 17555])).
% 4.93/4.42 tff(17557,plain,
% 4.93/4.42 (xuntil6(s104)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17556, 17552])).
% 4.93/4.42 tff(17558,plain,
% 4.93/4.42 (until5(s105)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7605, 17557])).
% 4.93/4.42 tff(17559,plain,
% 4.93/4.42 (xuntil6(s105)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7616, 225, 17558, 17550])).
% 4.93/4.42 tff(17560,plain,
% 4.93/4.42 (until5(s106)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7622, 17559])).
% 4.93/4.42 tff(17561,plain,
% 4.93/4.42 (~node4(s106)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7626, 113, 17548])).
% 4.93/4.42 tff(17562,plain,
% 4.93/4.42 (xuntil6(s106) | (~until5(s106))),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7633, 225, 17561])).
% 4.93/4.42 tff(17563,plain,
% 4.93/4.42 ($false),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17562, 17560, 17547])).
% 4.93/4.42 tff(17564,plain,(always3(s108) | xuntil6(s108) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 4.93/4.42 tff(17565,plain,
% 4.93/4.42 (always3(s108)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17564, 17538, 7086])).
% 4.93/4.42 tff(17566,plain,
% 4.93/4.42 (always3(s109)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[5664, 17565])).
% 4.93/4.42 tff(17567,plain,
% 4.93/4.42 (((~![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)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17568,plain,
% 4.93/4.42 (((~m_main_v_state(s109, c_busy)) | (~always3(s109))) <=> ((~always3(s109)) | (~m_main_v_state(s109, c_busy)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17569,plain,
% 4.93/4.42 (((~![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))))),
% 4.93/4.42 inference(monotonicity,[status(thm)],[17568])).
% 4.93/4.42 tff(17570,plain,
% 4.93/4.42 (((~![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)))),
% 4.93/4.42 inference(transitivity,[status(thm)],[17569, 17567])).
% 4.93/4.42 tff(17571,plain,
% 4.93/4.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s109, c_busy)) | (~always3(s109)))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17572,plain,
% 4.93/4.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s109)) | (~m_main_v_state(s109, c_busy))),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17571, 17570])).
% 4.93/4.42 tff(17573,plain,
% 4.93/4.42 (~m_main_v_state(s109, c_busy)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17572, 145, 17566])).
% 4.93/4.42 tff(17574,assumption,(until5(s108)), introduced(assumption)).
% 4.93/4.42 tff(17575,plain,
% 4.93/4.42 (xuntil6(s108) | node4(s108)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7667, 225, 17574])).
% 4.93/4.42 tff(17576,plain,
% 4.93/4.42 (node4(s108)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17575, 17538])).
% 4.93/4.42 tff(17577,plain,
% 4.93/4.42 (((~![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)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17578,plain,
% 4.93/4.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s108) | (~node4(s108)))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17579,plain,
% 4.93/4.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s108) | (~node4(s108))),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17578, 17577])).
% 4.93/4.42 tff(17580,plain,
% 4.93/4.42 (m_main_v_request(s108)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17579, 63, 17576])).
% 4.93/4.42 tff(17581,plain,
% 4.93/4.42 (((~![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))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17582,plain,
% 4.93/4.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s108, s109)) | node2(s108, s109))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17583,plain,
% 4.93/4.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s108, s109)) | node2(s108, s109)),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17582, 17581])).
% 4.93/4.42 tff(17584,plain,
% 4.93/4.42 (node2(s108, s109)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17583, 7, 5660])).
% 4.93/4.42 tff(17585,plain,
% 4.93/4.42 (((~![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(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)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17586,plain,
% 4.93/4.42 ((~![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(s108, c_ready)) | (~node2(s108, s109)) | m_main_v_state(s109, c_busy) | (~m_main_v_request(s108)))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17587,plain,
% 4.93/4.42 ((~![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(s108, c_ready)) | (~node2(s108, s109)) | m_main_v_state(s109, c_busy) | (~m_main_v_request(s108))),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17586, 17585])).
% 4.93/4.42 tff(17588,plain,
% 4.93/4.42 ((~m_main_v_state(s108, c_ready)) | m_main_v_state(s109, c_busy) | (~m_main_v_request(s108))),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17587, 166, 17584])).
% 4.93/4.42 tff(17589,plain,
% 4.93/4.42 (~m_main_v_state(s108, c_ready)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17588, 17580, 17573])).
% 4.93/4.42 tff(17590,plain,
% 4.93/4.42 (((~![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)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17591,plain,
% 4.93/4.42 (((~m_main_v_state(s108, c_busy)) | (~always3(s108))) <=> ((~always3(s108)) | (~m_main_v_state(s108, c_busy)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17592,plain,
% 4.93/4.42 (((~![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))))),
% 4.93/4.42 inference(monotonicity,[status(thm)],[17591])).
% 4.93/4.42 tff(17593,plain,
% 4.93/4.42 (((~![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)))),
% 4.93/4.42 inference(transitivity,[status(thm)],[17592, 17590])).
% 4.93/4.42 tff(17594,plain,
% 4.93/4.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s108, c_busy)) | (~always3(s108)))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17595,plain,
% 4.93/4.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s108)) | (~m_main_v_state(s108, c_busy))),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17594, 17593])).
% 4.93/4.42 tff(17596,plain,
% 4.93/4.42 (~m_main_v_state(s108, c_busy)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17595, 145, 17565])).
% 4.93/4.42 tff(17597,plain,
% 4.93/4.42 (((~![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))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17598,plain,
% 4.93/4.42 ((~![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))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17599,plain,
% 4.93/4.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s108, c_busy) | m_main_v_state(s108, c_ready)),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17598, 17597])).
% 4.93/4.42 tff(17600,plain,
% 4.93/4.42 ($false),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17599, 188, 17596, 17589])).
% 4.93/4.42 tff(17601,plain,(xuntil6(s108) | (~until5(s108)) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 4.93/4.42 tff(17602,plain,
% 4.93/4.42 (~until5(s108)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17601, 17538, 7086])).
% 4.93/4.42 tff(17603,plain,
% 4.93/4.42 (~xuntil6(s107)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7656, 17602])).
% 4.93/4.42 tff(17604,assumption,(until5(s107)), introduced(assumption)).
% 4.93/4.42 tff(17605,plain,
% 4.93/4.42 (xuntil6(s107) | node4(s107)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7650, 225, 17604])).
% 4.93/4.42 tff(17606,plain,
% 4.93/4.42 (node4(s107)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17605, 17603])).
% 4.93/4.42 tff(17607,assumption,(~m_main_v_state(s108, c_busy)), introduced(assumption)).
% 4.93/4.42 tff(17608,assumption,(node4(s107)), introduced(assumption)).
% 4.93/4.42 tff(17609,plain,
% 4.93/4.42 (((~![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)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17610,plain,
% 4.93/4.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s107) | (~node4(s107)))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17611,plain,
% 4.93/4.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s107) | (~node4(s107))),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17610, 17609])).
% 4.93/4.42 tff(17612,plain,
% 4.93/4.42 (m_main_v_request(s107)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17611, 63, 17608])).
% 4.93/4.42 tff(17613,plain,
% 4.93/4.42 (((~![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))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17614,plain,
% 4.93/4.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s107, s108)) | node2(s107, s108))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17615,plain,
% 4.93/4.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s107, s108)) | node2(s107, s108)),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17614, 17613])).
% 4.93/4.42 tff(17616,plain,
% 4.93/4.42 (node2(s107, s108)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17615, 7, 5672])).
% 4.93/4.42 tff(17617,plain,
% 4.93/4.42 (((~![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(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)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17618,plain,
% 4.93/4.42 ((~![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(s107, c_ready)) | (~node2(s107, s108)) | m_main_v_state(s108, c_busy) | (~m_main_v_request(s107)))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17619,plain,
% 4.93/4.42 ((~![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(s107, c_ready)) | (~node2(s107, s108)) | m_main_v_state(s108, c_busy) | (~m_main_v_request(s107))),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17618, 17617])).
% 4.93/4.42 tff(17620,plain,
% 4.93/4.42 ((~m_main_v_state(s107, c_ready)) | m_main_v_state(s108, c_busy) | (~m_main_v_request(s107))),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17619, 166, 17616])).
% 4.93/4.42 tff(17621,plain,
% 4.93/4.42 (~m_main_v_state(s107, c_ready)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17620, 17612, 17607])).
% 4.93/4.42 tff(17622,plain,
% 4.93/4.42 (always3(s107)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7643, 113, 17608])).
% 4.93/4.42 tff(17623,plain,
% 4.93/4.42 (~m_main_v_state(s107, c_busy)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17476, 145, 17622])).
% 4.93/4.42 tff(17624,plain,
% 4.93/4.42 (((~![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))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17625,plain,
% 4.93/4.42 ((~![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))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17626,plain,
% 4.93/4.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s107, c_busy) | m_main_v_state(s107, c_ready)),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17625, 17624])).
% 4.93/4.42 tff(17627,plain,
% 4.93/4.42 ($false),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17626, 188, 17623, 17621])).
% 4.93/4.42 tff(17628,plain,((~node4(s107)) | m_main_v_state(s108, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.42 tff(17629,plain,
% 4.93/4.42 (m_main_v_state(s108, c_busy)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17628, 17606])).
% 4.93/4.42 tff(17630,plain,
% 4.93/4.42 ($false),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17595, 145, 17565, 17629])).
% 4.93/4.42 tff(17631,plain,(xuntil6(s108) | (~until5(s107)) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 4.93/4.42 tff(17632,plain,
% 4.93/4.42 (xuntil6(s108)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17631, 17537, 16184])).
% 4.93/4.42 tff(17633,plain,
% 4.93/4.42 (until5(s109)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7673, 17632])).
% 4.93/4.42 tff(17634,assumption,(~xuntil6(s110)), introduced(assumption)).
% 4.93/4.42 tff(17635,assumption,(~always3(s110)), introduced(assumption)).
% 4.93/4.42 tff(17636,plain,
% 4.93/4.42 (~always3(s109)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[5652, 17635])).
% 4.93/4.42 tff(17637,plain,
% 4.93/4.42 (~node4(s109)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7677, 113, 17636])).
% 4.93/4.42 tff(17638,plain,
% 4.93/4.42 (~node4(s110)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7694, 113, 17635])).
% 4.93/4.42 tff(17639,plain,
% 4.93/4.42 (node4(s110) | (~until5(s110))),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7701, 225, 17634])).
% 4.93/4.42 tff(17640,plain,
% 4.93/4.42 (~until5(s110)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17639, 17638])).
% 4.93/4.42 tff(17641,plain,
% 4.93/4.42 (~xuntil6(s109)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7690, 17640])).
% 4.93/4.42 tff(17642,plain,
% 4.93/4.42 (~until5(s109)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7684, 225, 17641, 17637])).
% 4.93/4.42 tff(17643,plain,
% 4.93/4.42 (~xuntil6(s108)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7673, 17642])).
% 4.93/4.42 tff(17644,plain,
% 4.93/4.42 (~always3(s108)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[5664, 17636])).
% 4.93/4.42 tff(17645,plain,
% 4.93/4.42 (~node4(s108)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7660, 113, 17644])).
% 4.93/4.42 tff(17646,plain,
% 4.93/4.42 (xuntil6(s108) | (~until5(s108))),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7667, 225, 17645])).
% 4.93/4.42 tff(17647,plain,
% 4.93/4.42 (~until5(s108)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17646, 17643])).
% 4.93/4.42 tff(17648,plain,
% 4.93/4.42 (~xuntil6(s107)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7656, 17647])).
% 4.93/4.42 tff(17649,plain,
% 4.93/4.42 (~always3(s107)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[5676, 17644])).
% 4.93/4.42 tff(17650,plain,
% 4.93/4.42 (~always3(s106)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[5688, 17649])).
% 4.93/4.42 tff(17651,plain,
% 4.93/4.42 (~always3(s105)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[5700, 17650])).
% 4.93/4.42 tff(17652,plain,
% 4.93/4.42 (~node4(s105)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7609, 113, 17651])).
% 4.93/4.42 tff(17653,plain,
% 4.93/4.42 (~always3(s104)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[5712, 17651])).
% 4.93/4.42 tff(17654,plain,
% 4.93/4.42 (~node4(s104)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[5716, 113, 17653])).
% 4.93/4.42 tff(17655,plain,
% 4.93/4.42 (~always3(s103)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[5728, 17653])).
% 4.93/4.42 tff(17656,plain,
% 4.93/4.42 (xuntil6(s103)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7588, 17655, 7086])).
% 4.93/4.42 tff(17657,plain,
% 4.93/4.42 (until5(s104)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7593, 17656])).
% 4.93/4.42 tff(17658,plain,
% 4.93/4.42 (xuntil6(s104) | node4(s104)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7600, 225, 17657])).
% 4.93/4.42 tff(17659,plain,
% 4.93/4.42 (xuntil6(s104)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17658, 17654])).
% 4.93/4.42 tff(17660,plain,
% 4.93/4.42 (until5(s105)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7605, 17659])).
% 4.93/4.42 tff(17661,plain,
% 4.93/4.42 (xuntil6(s105)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7616, 225, 17660, 17652])).
% 4.93/4.42 tff(17662,plain,
% 4.93/4.42 (until5(s106)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7622, 17661])).
% 4.93/4.42 tff(17663,plain,
% 4.93/4.42 (~node4(s106)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7626, 113, 17650])).
% 4.93/4.42 tff(17664,plain,
% 4.93/4.42 (xuntil6(s106) | (~until5(s106))),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7633, 225, 17663])).
% 4.93/4.42 tff(17665,plain,
% 4.93/4.42 (xuntil6(s106)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17664, 17662])).
% 4.93/4.42 tff(17666,plain,
% 4.93/4.42 (until5(s107)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7639, 17665])).
% 4.93/4.42 tff(17667,plain,
% 4.93/4.42 (~node4(s107)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7643, 113, 17649])).
% 4.93/4.42 tff(17668,plain,
% 4.93/4.42 (xuntil6(s107) | (~until5(s107))),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7650, 225, 17667])).
% 4.93/4.42 tff(17669,plain,
% 4.93/4.42 ($false),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17668, 17666, 17648])).
% 4.93/4.42 tff(17670,plain,(always3(s110) | xuntil6(s110) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 4.93/4.42 tff(17671,plain,
% 4.93/4.42 (always3(s110)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17670, 17634, 7086])).
% 4.93/4.42 tff(17672,plain,
% 4.93/4.42 (always3(s111)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[5640, 17671])).
% 4.93/4.42 tff(17673,plain,
% 4.93/4.42 (((~![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)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17674,plain,
% 4.93/4.42 (((~m_main_v_state(s111, c_busy)) | (~always3(s111))) <=> ((~always3(s111)) | (~m_main_v_state(s111, c_busy)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17675,plain,
% 4.93/4.42 (((~![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))))),
% 4.93/4.42 inference(monotonicity,[status(thm)],[17674])).
% 4.93/4.42 tff(17676,plain,
% 4.93/4.42 (((~![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)))),
% 4.93/4.42 inference(transitivity,[status(thm)],[17675, 17673])).
% 4.93/4.42 tff(17677,plain,
% 4.93/4.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s111, c_busy)) | (~always3(s111)))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17678,plain,
% 4.93/4.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s111)) | (~m_main_v_state(s111, c_busy))),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17677, 17676])).
% 4.93/4.42 tff(17679,plain,
% 4.93/4.42 (~m_main_v_state(s111, c_busy)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17678, 145, 17672])).
% 4.93/4.42 tff(17680,assumption,(until5(s110)), introduced(assumption)).
% 4.93/4.42 tff(17681,plain,
% 4.93/4.42 (xuntil6(s110) | node4(s110)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[7701, 225, 17680])).
% 4.93/4.42 tff(17682,plain,
% 4.93/4.42 (node4(s110)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17681, 17634])).
% 4.93/4.42 tff(17683,plain,
% 4.93/4.42 (((~![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)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17684,plain,
% 4.93/4.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s110) | (~node4(s110)))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17685,plain,
% 4.93/4.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s110) | (~node4(s110))),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17684, 17683])).
% 4.93/4.42 tff(17686,plain,
% 4.93/4.42 (m_main_v_request(s110)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17685, 63, 17682])).
% 4.93/4.42 tff(17687,plain,
% 4.93/4.42 (((~![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))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17688,plain,
% 4.93/4.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s110, s111)) | node2(s110, s111))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17689,plain,
% 4.93/4.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s110, s111)) | node2(s110, s111)),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17688, 17687])).
% 4.93/4.42 tff(17690,plain,
% 4.93/4.42 (node2(s110, s111)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17689, 7, 5636])).
% 4.93/4.42 tff(17691,plain,
% 4.93/4.42 (((~![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(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)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17692,plain,
% 4.93/4.42 ((~![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(s110, c_ready)) | (~node2(s110, s111)) | m_main_v_state(s111, c_busy) | (~m_main_v_request(s110)))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17693,plain,
% 4.93/4.42 ((~![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(s110, c_ready)) | (~node2(s110, s111)) | m_main_v_state(s111, c_busy) | (~m_main_v_request(s110))),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17692, 17691])).
% 4.93/4.42 tff(17694,plain,
% 4.93/4.42 ((~m_main_v_state(s110, c_ready)) | m_main_v_state(s111, c_busy) | (~m_main_v_request(s110))),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17693, 166, 17690])).
% 4.93/4.42 tff(17695,plain,
% 4.93/4.42 (~m_main_v_state(s110, c_ready)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17694, 17686, 17679])).
% 4.93/4.42 tff(17696,plain,
% 4.93/4.42 (((~![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)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17697,plain,
% 4.93/4.42 (((~m_main_v_state(s110, c_busy)) | (~always3(s110))) <=> ((~always3(s110)) | (~m_main_v_state(s110, c_busy)))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17698,plain,
% 4.93/4.42 (((~![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))))),
% 4.93/4.42 inference(monotonicity,[status(thm)],[17697])).
% 4.93/4.42 tff(17699,plain,
% 4.93/4.42 (((~![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)))),
% 4.93/4.42 inference(transitivity,[status(thm)],[17698, 17696])).
% 4.93/4.42 tff(17700,plain,
% 4.93/4.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s110, c_busy)) | (~always3(s110)))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17701,plain,
% 4.93/4.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s110)) | (~m_main_v_state(s110, c_busy))),
% 4.93/4.42 inference(modus_ponens,[status(thm)],[17700, 17699])).
% 4.93/4.42 tff(17702,plain,
% 4.93/4.42 (~m_main_v_state(s110, c_busy)),
% 4.93/4.42 inference(unit_resolution,[status(thm)],[17701, 145, 17671])).
% 4.93/4.42 tff(17703,plain,
% 4.93/4.42 (((~![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))),
% 4.93/4.42 inference(rewrite,[status(thm)],[])).
% 4.93/4.42 tff(17704,plain,
% 4.93/4.42 ((~![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))),
% 4.93/4.42 inference(quant_inst,[status(thm)],[])).
% 4.93/4.42 tff(17705,plain,
% 4.93/4.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s110, c_busy) | m_main_v_state(s110, c_ready)),
% 4.93/4.43 inference(modus_ponens,[status(thm)],[17704, 17703])).
% 4.93/4.43 tff(17706,plain,
% 4.93/4.43 ($false),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17705, 188, 17702, 17695])).
% 4.93/4.43 tff(17707,plain,(xuntil6(s110) | (~until5(s110)) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 4.93/4.43 tff(17708,plain,
% 4.93/4.43 (~until5(s110)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17707, 17634, 7086])).
% 4.93/4.43 tff(17709,plain,
% 4.93/4.43 (~xuntil6(s109)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[7690, 17708])).
% 4.93/4.43 tff(17710,assumption,(until5(s109)), introduced(assumption)).
% 4.93/4.43 tff(17711,plain,
% 4.93/4.43 (xuntil6(s109) | node4(s109)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[7684, 225, 17710])).
% 4.93/4.43 tff(17712,plain,
% 4.93/4.43 (node4(s109)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17711, 17709])).
% 4.93/4.43 tff(17713,assumption,(~m_main_v_state(s110, c_busy)), introduced(assumption)).
% 4.93/4.43 tff(17714,assumption,(node4(s109)), introduced(assumption)).
% 4.93/4.43 tff(17715,plain,
% 4.93/4.43 (((~![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)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17716,plain,
% 4.93/4.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s109) | (~node4(s109)))),
% 4.93/4.43 inference(quant_inst,[status(thm)],[])).
% 4.93/4.43 tff(17717,plain,
% 4.93/4.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s109) | (~node4(s109))),
% 4.93/4.43 inference(modus_ponens,[status(thm)],[17716, 17715])).
% 4.93/4.43 tff(17718,plain,
% 4.93/4.43 (m_main_v_request(s109)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17717, 63, 17714])).
% 4.93/4.43 tff(17719,plain,
% 4.93/4.43 (((~![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))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17720,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s109, s110)) | node2(s109, s110))),
% 4.93/4.43 inference(quant_inst,[status(thm)],[])).
% 4.93/4.43 tff(17721,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s109, s110)) | node2(s109, s110)),
% 4.93/4.43 inference(modus_ponens,[status(thm)],[17720, 17719])).
% 4.93/4.43 tff(17722,plain,
% 4.93/4.43 (node2(s109, s110)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17721, 7, 5648])).
% 4.93/4.43 tff(17723,plain,
% 4.93/4.43 (((~![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(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)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17724,plain,
% 4.93/4.43 ((~![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(s109, c_ready)) | (~node2(s109, s110)) | m_main_v_state(s110, c_busy) | (~m_main_v_request(s109)))),
% 4.93/4.43 inference(quant_inst,[status(thm)],[])).
% 4.93/4.43 tff(17725,plain,
% 4.93/4.43 ((~![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(s109, c_ready)) | (~node2(s109, s110)) | m_main_v_state(s110, c_busy) | (~m_main_v_request(s109))),
% 4.93/4.43 inference(modus_ponens,[status(thm)],[17724, 17723])).
% 4.93/4.43 tff(17726,plain,
% 4.93/4.43 ((~m_main_v_state(s109, c_ready)) | m_main_v_state(s110, c_busy) | (~m_main_v_request(s109))),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17725, 166, 17722])).
% 4.93/4.43 tff(17727,plain,
% 4.93/4.43 (~m_main_v_state(s109, c_ready)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17726, 17718, 17713])).
% 4.93/4.43 tff(17728,plain,
% 4.93/4.43 (always3(s109)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[7677, 113, 17714])).
% 4.93/4.43 tff(17729,plain,
% 4.93/4.43 (~m_main_v_state(s109, c_busy)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17572, 145, 17728])).
% 4.93/4.43 tff(17730,plain,
% 4.93/4.43 (((~![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))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17731,plain,
% 4.93/4.43 ((~![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))),
% 4.93/4.43 inference(quant_inst,[status(thm)],[])).
% 4.93/4.43 tff(17732,plain,
% 4.93/4.43 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s109, c_busy) | m_main_v_state(s109, c_ready)),
% 4.93/4.43 inference(modus_ponens,[status(thm)],[17731, 17730])).
% 4.93/4.43 tff(17733,plain,
% 4.93/4.43 ($false),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17732, 188, 17729, 17727])).
% 4.93/4.43 tff(17734,plain,((~node4(s109)) | m_main_v_state(s110, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.43 tff(17735,plain,
% 4.93/4.43 (m_main_v_state(s110, c_busy)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17734, 17712])).
% 4.93/4.43 tff(17736,plain,
% 4.93/4.43 ($false),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17701, 145, 17671, 17735])).
% 4.93/4.43 tff(17737,plain,(xuntil6(s110) | (~until5(s109)) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 4.93/4.43 tff(17738,plain,
% 4.93/4.43 (xuntil6(s110)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17737, 17633, 16184])).
% 4.93/4.43 tff(17739,plain,
% 4.93/4.43 (until5(s111)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[7707, 17738])).
% 4.93/4.43 tff(17740,assumption,(~always3(s61)), introduced(assumption)).
% 4.93/4.43 tff(17741,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s61) | (~trans(s199, s61)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s61) | (~trans(s199, s61)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17742,plain,
% 4.93/4.43 (((~trans(s199, s61)) | (~always3(s199)) | always3(s61)) <=> ((~always3(s199)) | always3(s61) | (~trans(s199, s61)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17743,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s61)) | (~always3(s199)) | always3(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s61) | (~trans(s199, s61))))),
% 4.93/4.43 inference(monotonicity,[status(thm)],[17742])).
% 4.93/4.43 tff(17744,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s61)) | (~always3(s199)) | always3(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s61) | (~trans(s199, s61)))),
% 4.93/4.43 inference(transitivity,[status(thm)],[17743, 17741])).
% 4.93/4.43 tff(17745,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s61)) | (~always3(s199)) | always3(s61))),
% 4.93/4.43 inference(quant_inst,[status(thm)],[])).
% 4.93/4.43 tff(17746,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s61) | (~trans(s199, s61))),
% 4.93/4.43 inference(modus_ponens,[status(thm)],[17745, 17744])).
% 4.93/4.43 tff(17747,plain,
% 4.93/4.43 ($false),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17746, 13245, 38, 15333, 17740])).
% 4.93/4.43 tff(17748,plain,((~trans(s199, s61)) | always3(s61)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.43 tff(17749,plain,
% 4.93/4.43 (~trans(s199, s61)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17748, 16130])).
% 4.93/4.43 tff(17750,plain,
% 4.93/4.43 (~always3(s14)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[206, 16177])).
% 4.93/4.43 tff(17751,plain,
% 4.93/4.43 (~always3(s13)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[271, 17750])).
% 4.93/4.43 tff(17752,plain,
% 4.93/4.43 (~always3(s12)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[300, 17751])).
% 4.93/4.43 tff(17753,plain,
% 4.93/4.43 (~always3(s11)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[329, 17752])).
% 4.93/4.43 tff(17754,plain,
% 4.93/4.43 (~always3(s10)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[358, 17753])).
% 4.93/4.43 tff(17755,plain,
% 4.93/4.43 (~always3(s9)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[387, 17754])).
% 4.93/4.43 tff(17756,plain,
% 4.93/4.43 (~always3(s8)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[416, 17755])).
% 4.93/4.43 tff(17757,plain,
% 4.93/4.43 (~always3(s7)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[440, 17756])).
% 4.93/4.43 tff(17758,plain,
% 4.93/4.43 (~always3(s6)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[452, 17757])).
% 4.93/4.43 tff(17759,plain,
% 4.93/4.43 (~always3(s5)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[464, 17758])).
% 4.93/4.43 tff(17760,plain,
% 4.93/4.43 (~trans(s199, s5)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15344, 17759])).
% 4.93/4.43 tff(17761,plain,
% 4.93/4.43 (~trans(s199, s32)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15355, 16160])).
% 4.93/4.43 tff(17762,plain,
% 4.93/4.43 (~trans(s199, s8)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15365, 17756])).
% 4.93/4.43 tff(17763,plain,
% 4.93/4.43 (~trans(s199, s15)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15375, 16177])).
% 4.93/4.43 tff(17764,plain,
% 4.93/4.43 (~trans(s199, s16)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15386, 16176])).
% 4.93/4.43 tff(17765,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s46) | (~trans(s199, s46)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s46) | (~trans(s199, s46)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17766,plain,
% 4.93/4.43 (((~trans(s199, s46)) | (~always3(s199)) | always3(s46)) <=> ((~always3(s199)) | always3(s46) | (~trans(s199, s46)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17767,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s46)) | (~always3(s199)) | always3(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s46) | (~trans(s199, s46))))),
% 4.93/4.43 inference(monotonicity,[status(thm)],[17766])).
% 4.93/4.43 tff(17768,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s46)) | (~always3(s199)) | always3(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s46) | (~trans(s199, s46)))),
% 4.93/4.43 inference(transitivity,[status(thm)],[17767, 17765])).
% 4.93/4.43 tff(17769,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s46)) | (~always3(s199)) | always3(s46))),
% 4.93/4.43 inference(quant_inst,[status(thm)],[])).
% 4.93/4.43 tff(17770,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s46) | (~trans(s199, s46))),
% 4.93/4.43 inference(modus_ponens,[status(thm)],[17769, 17768])).
% 4.93/4.43 tff(17771,plain,
% 4.93/4.43 ($false),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17770, 11430, 38, 15335, 15835])).
% 4.93/4.43 tff(17772,plain,((~trans(s199, s46)) | (~always3(s199)) | always3(s46)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.43 tff(17773,plain,
% 4.93/4.43 ((~trans(s199, s46)) | always3(s46)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17772, 15333])).
% 4.93/4.43 tff(17774,plain,
% 4.93/4.43 (~trans(s199, s46)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17773, 16145])).
% 4.93/4.43 tff(17775,plain,
% 4.93/4.43 (~trans(s199, s38)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15407, 16153])).
% 4.93/4.43 tff(17776,plain,
% 4.93/4.43 (~trans(s199, s7)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15418, 17757])).
% 4.93/4.43 tff(17777,plain,
% 4.93/4.43 (~always3(s4)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[476, 17759])).
% 4.93/4.43 tff(17778,plain,
% 4.93/4.43 (~always3(s3)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[488, 17777])).
% 4.93/4.43 tff(17779,plain,
% 4.93/4.43 (~always3(s2)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[42, 17778])).
% 4.93/4.43 tff(17780,plain,
% 4.93/4.43 (~always3(s1)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[54, 17779])).
% 4.93/4.43 tff(17781,plain,
% 4.93/4.43 (~trans(s199, s1)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15433, 17780])).
% 4.93/4.43 tff(17782,plain,
% 4.93/4.43 (~trans(s199, s6)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15443, 17758])).
% 4.93/4.43 tff(17783,plain,
% 4.93/4.43 (~trans(s199, s37)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15453, 16155])).
% 4.93/4.43 tff(17784,plain,
% 4.93/4.43 (~trans(s199, s30)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15464, 16162])).
% 4.93/4.43 tff(17785,assumption,(~always3(s66)), introduced(assumption)).
% 4.93/4.43 tff(17786,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s66) | (~trans(s199, s66)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s66) | (~trans(s199, s66)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17787,plain,
% 4.93/4.43 (((~trans(s199, s66)) | (~always3(s199)) | always3(s66)) <=> ((~always3(s199)) | always3(s66) | (~trans(s199, s66)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17788,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s66)) | (~always3(s199)) | always3(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s66) | (~trans(s199, s66))))),
% 4.93/4.43 inference(monotonicity,[status(thm)],[17787])).
% 4.93/4.43 tff(17789,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s66)) | (~always3(s199)) | always3(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s66) | (~trans(s199, s66)))),
% 4.93/4.43 inference(transitivity,[status(thm)],[17788, 17786])).
% 4.93/4.43 tff(17790,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s66)) | (~always3(s199)) | always3(s66))),
% 4.93/4.43 inference(quant_inst,[status(thm)],[])).
% 4.93/4.43 tff(17791,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s66) | (~trans(s199, s66))),
% 4.93/4.43 inference(modus_ponens,[status(thm)],[17790, 17789])).
% 4.93/4.43 tff(17792,plain,
% 4.93/4.43 ($false),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17791, 11694, 38, 15335, 17785])).
% 4.93/4.43 tff(17793,plain,((~trans(s199, s66)) | (~always3(s199)) | always3(s66)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.43 tff(17794,plain,
% 4.93/4.43 ((~trans(s199, s66)) | always3(s66)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17793, 15333])).
% 4.93/4.43 tff(17795,plain,
% 4.93/4.43 (~trans(s199, s66)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17794, 16125])).
% 4.93/4.43 tff(17796,plain,
% 4.93/4.43 (~trans(s199, s21)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15475, 16171])).
% 4.93/4.43 tff(17797,plain,
% 4.93/4.43 (~trans(s199, s35)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15496, 16157])).
% 4.93/4.43 tff(17798,assumption,(~always3(s68)), introduced(assumption)).
% 4.93/4.43 tff(17799,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s68) | (~trans(s199, s68)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s68) | (~trans(s199, s68)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17800,plain,
% 4.93/4.43 (((~trans(s199, s68)) | (~always3(s199)) | always3(s68)) <=> ((~always3(s199)) | always3(s68) | (~trans(s199, s68)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17801,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s68)) | (~always3(s199)) | always3(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s68) | (~trans(s199, s68))))),
% 4.93/4.43 inference(monotonicity,[status(thm)],[17800])).
% 4.93/4.43 tff(17802,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s68)) | (~always3(s199)) | always3(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s68) | (~trans(s199, s68)))),
% 4.93/4.43 inference(transitivity,[status(thm)],[17801, 17799])).
% 4.93/4.43 tff(17803,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s68)) | (~always3(s199)) | always3(s68))),
% 4.93/4.43 inference(quant_inst,[status(thm)],[])).
% 4.93/4.43 tff(17804,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s68) | (~trans(s199, s68))),
% 4.93/4.43 inference(modus_ponens,[status(thm)],[17803, 17802])).
% 4.93/4.43 tff(17805,plain,
% 4.93/4.43 ($false),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17804, 11892, 38, 15335, 17798])).
% 4.93/4.43 tff(17806,plain,((~trans(s199, s68)) | (~always3(s199)) | always3(s68)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.43 tff(17807,plain,
% 4.93/4.43 ((~trans(s199, s68)) | always3(s68)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17806, 15333])).
% 4.93/4.43 tff(17808,plain,
% 4.93/4.43 (~trans(s199, s68)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17807, 16123])).
% 4.93/4.43 tff(17809,plain,
% 4.93/4.43 (~trans(s199, s19)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15486, 16173])).
% 4.93/4.43 tff(17810,plain,
% 4.93/4.43 (~trans(s199, s34)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15507, 16158])).
% 4.93/4.43 tff(17811,plain,
% 4.93/4.43 (~trans(s199, s26)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15518, 16166])).
% 4.93/4.43 tff(17812,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s76) | (~trans(s199, s76)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s76) | (~trans(s199, s76)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17813,plain,
% 4.93/4.43 (((~trans(s199, s76)) | (~always3(s199)) | always3(s76)) <=> ((~always3(s199)) | always3(s76) | (~trans(s199, s76)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17814,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s76)) | (~always3(s199)) | always3(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s76) | (~trans(s199, s76))))),
% 4.93/4.43 inference(monotonicity,[status(thm)],[17813])).
% 4.93/4.43 tff(17815,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s76)) | (~always3(s199)) | always3(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s76) | (~trans(s199, s76)))),
% 4.93/4.43 inference(transitivity,[status(thm)],[17814, 17812])).
% 4.93/4.43 tff(17816,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s76)) | (~always3(s199)) | always3(s76))),
% 4.93/4.43 inference(quant_inst,[status(thm)],[])).
% 4.93/4.43 tff(17817,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s76) | (~trans(s199, s76))),
% 4.93/4.43 inference(modus_ponens,[status(thm)],[17816, 17815])).
% 4.93/4.43 tff(17818,plain,
% 4.93/4.43 ($false),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17817, 12024, 38, 15335, 16115])).
% 4.93/4.43 tff(17819,plain,((~trans(s199, s76)) | (~always3(s199)) | always3(s76)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.43 tff(17820,plain,
% 4.93/4.43 ((~trans(s199, s76)) | always3(s76)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17819, 15333])).
% 4.93/4.43 tff(17821,plain,
% 4.93/4.43 (~trans(s199, s76)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17820, 16115])).
% 4.93/4.43 tff(17822,assumption,(~always3(s60)), introduced(assumption)).
% 4.93/4.43 tff(17823,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s60) | (~trans(s199, s60)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s60) | (~trans(s199, s60)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17824,plain,
% 4.93/4.43 (((~trans(s199, s60)) | (~always3(s199)) | always3(s60)) <=> ((~always3(s199)) | always3(s60) | (~trans(s199, s60)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17825,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s60)) | (~always3(s199)) | always3(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s60) | (~trans(s199, s60))))),
% 4.93/4.43 inference(monotonicity,[status(thm)],[17824])).
% 4.93/4.43 tff(17826,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s60)) | (~always3(s199)) | always3(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s60) | (~trans(s199, s60)))),
% 4.93/4.43 inference(transitivity,[status(thm)],[17825, 17823])).
% 4.93/4.43 tff(17827,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s60)) | (~always3(s199)) | always3(s60))),
% 4.93/4.43 inference(quant_inst,[status(thm)],[])).
% 4.93/4.43 tff(17828,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s60) | (~trans(s199, s60))),
% 4.93/4.43 inference(modus_ponens,[status(thm)],[17827, 17826])).
% 4.93/4.43 tff(17829,plain,
% 4.93/4.43 ($false),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17828, 12035, 38, 15335, 17822])).
% 4.93/4.43 tff(17830,plain,((~trans(s199, s60)) | (~always3(s199)) | always3(s60)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.43 tff(17831,plain,
% 4.93/4.43 ((~trans(s199, s60)) | always3(s60)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17830, 15333])).
% 4.93/4.43 tff(17832,plain,
% 4.93/4.43 (~trans(s199, s60)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17831, 16131])).
% 4.93/4.43 tff(17833,plain,
% 4.93/4.43 (~trans(s199, s22)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15528, 16170])).
% 4.93/4.43 tff(17834,assumption,(~always3(s75)), introduced(assumption)).
% 4.93/4.43 tff(17835,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s75) | (~trans(s199, s75)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s75) | (~trans(s199, s75)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17836,plain,
% 4.93/4.43 (((~trans(s199, s75)) | (~always3(s199)) | always3(s75)) <=> ((~always3(s199)) | always3(s75) | (~trans(s199, s75)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17837,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s75)) | (~always3(s199)) | always3(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s75) | (~trans(s199, s75))))),
% 4.93/4.43 inference(monotonicity,[status(thm)],[17836])).
% 4.93/4.43 tff(17838,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s75)) | (~always3(s199)) | always3(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s75) | (~trans(s199, s75)))),
% 4.93/4.43 inference(transitivity,[status(thm)],[17837, 17835])).
% 4.93/4.43 tff(17839,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s75)) | (~always3(s199)) | always3(s75))),
% 4.93/4.43 inference(quant_inst,[status(thm)],[])).
% 4.93/4.43 tff(17840,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s75) | (~trans(s199, s75))),
% 4.93/4.43 inference(modus_ponens,[status(thm)],[17839, 17838])).
% 4.93/4.43 tff(17841,plain,
% 4.93/4.43 ($false),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17840, 12068, 38, 15335, 17834])).
% 4.93/4.43 tff(17842,plain,((~trans(s199, s75)) | (~always3(s199)) | always3(s75)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.43 tff(17843,plain,
% 4.93/4.43 ((~trans(s199, s75)) | always3(s75)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17842, 15333])).
% 4.93/4.43 tff(17844,plain,
% 4.93/4.43 (~trans(s199, s75)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17843, 16116])).
% 4.93/4.43 tff(17845,plain,
% 4.93/4.43 (~trans(s199, s42)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15539, 16149])).
% 4.93/4.43 tff(17846,plain,
% 4.93/4.43 (~trans(s199, s27)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15549, 16165])).
% 4.93/4.43 tff(17847,assumption,(~always3(s64)), introduced(assumption)).
% 4.93/4.43 tff(17848,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s64) | (~trans(s199, s64)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s64) | (~trans(s199, s64)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17849,plain,
% 4.93/4.43 (((~trans(s199, s64)) | (~always3(s199)) | always3(s64)) <=> ((~always3(s199)) | always3(s64) | (~trans(s199, s64)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17850,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s64)) | (~always3(s199)) | always3(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s64) | (~trans(s199, s64))))),
% 4.93/4.43 inference(monotonicity,[status(thm)],[17849])).
% 4.93/4.43 tff(17851,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s64)) | (~always3(s199)) | always3(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s64) | (~trans(s199, s64)))),
% 4.93/4.43 inference(transitivity,[status(thm)],[17850, 17848])).
% 4.93/4.43 tff(17852,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s64)) | (~always3(s199)) | always3(s64))),
% 4.93/4.43 inference(quant_inst,[status(thm)],[])).
% 4.93/4.43 tff(17853,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s64) | (~trans(s199, s64))),
% 4.93/4.43 inference(modus_ponens,[status(thm)],[17852, 17851])).
% 4.93/4.43 tff(17854,plain,
% 4.93/4.43 ($false),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17853, 12145, 38, 15335, 17847])).
% 4.93/4.43 tff(17855,plain,((~trans(s199, s64)) | (~always3(s199)) | always3(s64)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.43 tff(17856,plain,
% 4.93/4.43 ((~trans(s199, s64)) | always3(s64)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17855, 15333])).
% 4.93/4.43 tff(17857,plain,
% 4.93/4.43 (~trans(s199, s64)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17856, 16127])).
% 4.93/4.43 tff(17858,assumption,(~always3(s54)), introduced(assumption)).
% 4.93/4.43 tff(17859,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s54) | (~trans(s199, s54)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s54) | (~trans(s199, s54)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17860,plain,
% 4.93/4.43 (((~trans(s199, s54)) | (~always3(s199)) | always3(s54)) <=> ((~always3(s199)) | always3(s54) | (~trans(s199, s54)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17861,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s54)) | (~always3(s199)) | always3(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s54) | (~trans(s199, s54))))),
% 4.93/4.43 inference(monotonicity,[status(thm)],[17860])).
% 4.93/4.43 tff(17862,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s54)) | (~always3(s199)) | always3(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s54) | (~trans(s199, s54)))),
% 4.93/4.43 inference(transitivity,[status(thm)],[17861, 17859])).
% 4.93/4.43 tff(17863,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s54)) | (~always3(s199)) | always3(s54))),
% 4.93/4.43 inference(quant_inst,[status(thm)],[])).
% 4.93/4.43 tff(17864,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s54) | (~trans(s199, s54))),
% 4.93/4.43 inference(modus_ponens,[status(thm)],[17863, 17862])).
% 4.93/4.43 tff(17865,plain,
% 4.93/4.43 ($false),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17864, 12156, 38, 15335, 17858])).
% 4.93/4.43 tff(17866,plain,((~trans(s199, s54)) | (~always3(s199)) | always3(s54)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.43 tff(17867,plain,
% 4.93/4.43 ((~trans(s199, s54)) | always3(s54)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17866, 15333])).
% 4.93/4.43 tff(17868,plain,
% 4.93/4.43 (~trans(s199, s54)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17867, 16137])).
% 4.93/4.43 tff(17869,plain,
% 4.93/4.43 (~trans(s199, s31)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[15559, 16161])).
% 4.93/4.43 tff(17870,assumption,(~always3(s59)), introduced(assumption)).
% 4.93/4.43 tff(17871,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s59) | (~trans(s199, s59)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s59) | (~trans(s199, s59)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17872,plain,
% 4.93/4.43 (((~trans(s199, s59)) | (~always3(s199)) | always3(s59)) <=> ((~always3(s199)) | always3(s59) | (~trans(s199, s59)))),
% 4.93/4.43 inference(rewrite,[status(thm)],[])).
% 4.93/4.43 tff(17873,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s59)) | (~always3(s199)) | always3(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s59) | (~trans(s199, s59))))),
% 4.93/4.43 inference(monotonicity,[status(thm)],[17872])).
% 4.93/4.43 tff(17874,plain,
% 4.93/4.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s59)) | (~always3(s199)) | always3(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s59) | (~trans(s199, s59)))),
% 4.93/4.43 inference(transitivity,[status(thm)],[17873, 17871])).
% 4.93/4.43 tff(17875,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s59)) | (~always3(s199)) | always3(s59))),
% 4.93/4.43 inference(quant_inst,[status(thm)],[])).
% 4.93/4.43 tff(17876,plain,
% 4.93/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s59) | (~trans(s199, s59))),
% 4.93/4.43 inference(modus_ponens,[status(thm)],[17875, 17874])).
% 4.93/4.43 tff(17877,plain,
% 4.93/4.43 ($false),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17876, 12222, 38, 15335, 17870])).
% 4.93/4.43 tff(17878,plain,((~trans(s199, s59)) | (~always3(s199)) | always3(s59)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.43 tff(17879,plain,
% 4.93/4.43 ((~trans(s199, s59)) | always3(s59)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17878, 15333])).
% 4.93/4.43 tff(17880,plain,
% 4.93/4.43 (~trans(s199, s59)),
% 4.93/4.43 inference(unit_resolution,[status(thm)],[17879, 16132])).
% 4.93/4.43 tff(17881,assumption,(~always3(s48)), introduced(assumption)).
% 4.93/4.43 tff(17882,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s48) | (~trans(s199, s48)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s48) | (~trans(s199, s48)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17883,plain,
% 4.93/4.44 (((~trans(s199, s48)) | (~always3(s199)) | always3(s48)) <=> ((~always3(s199)) | always3(s48) | (~trans(s199, s48)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17884,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s48)) | (~always3(s199)) | always3(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s48) | (~trans(s199, s48))))),
% 4.93/4.44 inference(monotonicity,[status(thm)],[17883])).
% 4.93/4.44 tff(17885,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s48)) | (~always3(s199)) | always3(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s48) | (~trans(s199, s48)))),
% 4.93/4.44 inference(transitivity,[status(thm)],[17884, 17882])).
% 4.93/4.44 tff(17886,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s48)) | (~always3(s199)) | always3(s48))),
% 4.93/4.44 inference(quant_inst,[status(thm)],[])).
% 4.93/4.44 tff(17887,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s48) | (~trans(s199, s48))),
% 4.93/4.44 inference(modus_ponens,[status(thm)],[17886, 17885])).
% 4.93/4.44 tff(17888,plain,
% 4.93/4.44 ($false),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17887, 12244, 38, 15335, 17881])).
% 4.93/4.44 tff(17889,plain,((~trans(s199, s48)) | (~always3(s199)) | always3(s48)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.44 tff(17890,plain,
% 4.93/4.44 ((~trans(s199, s48)) | always3(s48)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17889, 15333])).
% 4.93/4.44 tff(17891,plain,
% 4.93/4.44 (~trans(s199, s48)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17890, 16143])).
% 4.93/4.44 tff(17892,plain,
% 4.93/4.44 (~trans(s199, s11)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[15570, 17753])).
% 4.93/4.44 tff(17893,assumption,(~always3(s52)), introduced(assumption)).
% 4.93/4.44 tff(17894,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s52) | (~trans(s199, s52)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s52) | (~trans(s199, s52)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17895,plain,
% 4.93/4.44 (((~trans(s199, s52)) | (~always3(s199)) | always3(s52)) <=> ((~always3(s199)) | always3(s52) | (~trans(s199, s52)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17896,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s52)) | (~always3(s199)) | always3(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s52) | (~trans(s199, s52))))),
% 4.93/4.44 inference(monotonicity,[status(thm)],[17895])).
% 4.93/4.44 tff(17897,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s52)) | (~always3(s199)) | always3(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s52) | (~trans(s199, s52)))),
% 4.93/4.44 inference(transitivity,[status(thm)],[17896, 17894])).
% 4.93/4.44 tff(17898,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s52)) | (~always3(s199)) | always3(s52))),
% 4.93/4.44 inference(quant_inst,[status(thm)],[])).
% 4.93/4.44 tff(17899,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s52) | (~trans(s199, s52))),
% 4.93/4.44 inference(modus_ponens,[status(thm)],[17898, 17897])).
% 4.93/4.44 tff(17900,plain,
% 4.93/4.44 ($false),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17899, 12277, 38, 15335, 17893])).
% 4.93/4.44 tff(17901,plain,((~trans(s199, s52)) | (~always3(s199)) | always3(s52)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.44 tff(17902,plain,
% 4.93/4.44 ((~trans(s199, s52)) | always3(s52)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17901, 15333])).
% 4.93/4.44 tff(17903,plain,
% 4.93/4.44 (~trans(s199, s52)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17902, 16139])).
% 4.93/4.44 tff(17904,plain,
% 4.93/4.44 (~trans(s199, s45)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[15905, 16146])).
% 4.93/4.44 tff(17905,plain,
% 4.93/4.44 (~trans(s199, s4)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[15580, 17777])).
% 4.93/4.44 tff(17906,plain,
% 4.93/4.44 (~trans(s199, s43)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[15591, 16148])).
% 4.93/4.44 tff(17907,assumption,(~always3(s70)), introduced(assumption)).
% 4.93/4.44 tff(17908,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s70) | (~trans(s199, s70)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s70) | (~trans(s199, s70)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17909,plain,
% 4.93/4.44 (((~trans(s199, s70)) | (~always3(s199)) | always3(s70)) <=> ((~always3(s199)) | always3(s70) | (~trans(s199, s70)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17910,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s70)) | (~always3(s199)) | always3(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s70) | (~trans(s199, s70))))),
% 4.93/4.44 inference(monotonicity,[status(thm)],[17909])).
% 4.93/4.44 tff(17911,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s70)) | (~always3(s199)) | always3(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s70) | (~trans(s199, s70)))),
% 4.93/4.44 inference(transitivity,[status(thm)],[17910, 17908])).
% 4.93/4.44 tff(17912,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s70)) | (~always3(s199)) | always3(s70))),
% 4.93/4.44 inference(quant_inst,[status(thm)],[])).
% 4.93/4.44 tff(17913,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s70) | (~trans(s199, s70))),
% 4.93/4.44 inference(modus_ponens,[status(thm)],[17912, 17911])).
% 4.93/4.44 tff(17914,plain,
% 4.93/4.44 ($false),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17913, 12354, 38, 15335, 17907])).
% 4.93/4.44 tff(17915,plain,((~trans(s199, s70)) | (~always3(s199)) | always3(s70)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.44 tff(17916,plain,
% 4.93/4.44 ((~trans(s199, s70)) | always3(s70)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17915, 15333])).
% 4.93/4.44 tff(17917,plain,
% 4.93/4.44 (~trans(s199, s70)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17916, 16121])).
% 4.93/4.44 tff(17918,assumption,(~always3(s67)), introduced(assumption)).
% 4.93/4.44 tff(17919,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s67) | (~trans(s199, s67)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s67) | (~trans(s199, s67)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17920,plain,
% 4.93/4.44 (((~trans(s199, s67)) | (~always3(s199)) | always3(s67)) <=> ((~always3(s199)) | always3(s67) | (~trans(s199, s67)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17921,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s67)) | (~always3(s199)) | always3(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s67) | (~trans(s199, s67))))),
% 4.93/4.44 inference(monotonicity,[status(thm)],[17920])).
% 4.93/4.44 tff(17922,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s67)) | (~always3(s199)) | always3(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s67) | (~trans(s199, s67)))),
% 4.93/4.44 inference(transitivity,[status(thm)],[17921, 17919])).
% 4.93/4.44 tff(17923,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s67)) | (~always3(s199)) | always3(s67))),
% 4.93/4.44 inference(quant_inst,[status(thm)],[])).
% 4.93/4.44 tff(17924,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s67) | (~trans(s199, s67))),
% 4.93/4.44 inference(modus_ponens,[status(thm)],[17923, 17922])).
% 4.93/4.44 tff(17925,plain,
% 4.93/4.44 ($false),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17924, 12365, 38, 15335, 17918])).
% 4.93/4.44 tff(17926,plain,((~trans(s199, s67)) | (~always3(s199)) | always3(s67)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.44 tff(17927,plain,
% 4.93/4.44 ((~trans(s199, s67)) | always3(s67)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17926, 15333])).
% 4.93/4.44 tff(17928,plain,
% 4.93/4.44 (~trans(s199, s67)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17927, 16124])).
% 4.93/4.44 tff(17929,assumption,(~always3(s56)), introduced(assumption)).
% 4.93/4.44 tff(17930,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s56) | (~trans(s199, s56)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s56) | (~trans(s199, s56)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17931,plain,
% 4.93/4.44 (((~trans(s199, s56)) | (~always3(s199)) | always3(s56)) <=> ((~always3(s199)) | always3(s56) | (~trans(s199, s56)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17932,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s56)) | (~always3(s199)) | always3(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s56) | (~trans(s199, s56))))),
% 4.93/4.44 inference(monotonicity,[status(thm)],[17931])).
% 4.93/4.44 tff(17933,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s56)) | (~always3(s199)) | always3(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s56) | (~trans(s199, s56)))),
% 4.93/4.44 inference(transitivity,[status(thm)],[17932, 17930])).
% 4.93/4.44 tff(17934,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s56)) | (~always3(s199)) | always3(s56))),
% 4.93/4.44 inference(quant_inst,[status(thm)],[])).
% 4.93/4.44 tff(17935,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s56) | (~trans(s199, s56))),
% 4.93/4.44 inference(modus_ponens,[status(thm)],[17934, 17933])).
% 4.93/4.44 tff(17936,plain,
% 4.93/4.44 ($false),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17935, 12376, 38, 15335, 17929])).
% 4.93/4.44 tff(17937,plain,((~trans(s199, s56)) | (~always3(s199)) | always3(s56)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.44 tff(17938,plain,
% 4.93/4.44 ((~trans(s199, s56)) | always3(s56)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17937, 15333])).
% 4.93/4.44 tff(17939,plain,
% 4.93/4.44 (~trans(s199, s56)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17938, 16135])).
% 4.93/4.44 tff(17940,plain,
% 4.93/4.44 (~trans(s199, s12)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[15601, 17752])).
% 4.93/4.44 tff(17941,assumption,(~always3(s69)), introduced(assumption)).
% 4.93/4.44 tff(17942,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s69) | (~trans(s199, s69)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s69) | (~trans(s199, s69)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17943,plain,
% 4.93/4.44 (((~trans(s199, s69)) | (~always3(s199)) | always3(s69)) <=> ((~always3(s199)) | always3(s69) | (~trans(s199, s69)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17944,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s69)) | (~always3(s199)) | always3(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s69) | (~trans(s199, s69))))),
% 4.93/4.44 inference(monotonicity,[status(thm)],[17943])).
% 4.93/4.44 tff(17945,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s69)) | (~always3(s199)) | always3(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s69) | (~trans(s199, s69)))),
% 4.93/4.44 inference(transitivity,[status(thm)],[17944, 17942])).
% 4.93/4.44 tff(17946,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s69)) | (~always3(s199)) | always3(s69))),
% 4.93/4.44 inference(quant_inst,[status(thm)],[])).
% 4.93/4.44 tff(17947,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s69) | (~trans(s199, s69))),
% 4.93/4.44 inference(modus_ponens,[status(thm)],[17946, 17945])).
% 4.93/4.44 tff(17948,plain,
% 4.93/4.44 ($false),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17947, 12409, 38, 15335, 17941])).
% 4.93/4.44 tff(17949,plain,((~trans(s199, s69)) | (~always3(s199)) | always3(s69)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.44 tff(17950,plain,
% 4.93/4.44 ((~trans(s199, s69)) | always3(s69)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17949, 15333])).
% 4.93/4.44 tff(17951,plain,
% 4.93/4.44 (~trans(s199, s69)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17950, 16122])).
% 4.93/4.44 tff(17952,assumption,(~always3(s51)), introduced(assumption)).
% 4.93/4.44 tff(17953,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s51) | (~trans(s199, s51)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s51) | (~trans(s199, s51)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17954,plain,
% 4.93/4.44 (((~trans(s199, s51)) | (~always3(s199)) | always3(s51)) <=> ((~always3(s199)) | always3(s51) | (~trans(s199, s51)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17955,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s51)) | (~always3(s199)) | always3(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s51) | (~trans(s199, s51))))),
% 4.93/4.44 inference(monotonicity,[status(thm)],[17954])).
% 4.93/4.44 tff(17956,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s51)) | (~always3(s199)) | always3(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s51) | (~trans(s199, s51)))),
% 4.93/4.44 inference(transitivity,[status(thm)],[17955, 17953])).
% 4.93/4.44 tff(17957,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s51)) | (~always3(s199)) | always3(s51))),
% 4.93/4.44 inference(quant_inst,[status(thm)],[])).
% 4.93/4.44 tff(17958,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s51) | (~trans(s199, s51))),
% 4.93/4.44 inference(modus_ponens,[status(thm)],[17957, 17956])).
% 4.93/4.44 tff(17959,plain,
% 4.93/4.44 ($false),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17958, 12431, 38, 15335, 17952])).
% 4.93/4.44 tff(17960,plain,((~trans(s199, s51)) | (~always3(s199)) | always3(s51)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.44 tff(17961,plain,
% 4.93/4.44 ((~trans(s199, s51)) | always3(s51)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17960, 15333])).
% 4.93/4.44 tff(17962,plain,
% 4.93/4.44 (~trans(s199, s51)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17961, 16140])).
% 4.93/4.44 tff(17963,plain,
% 4.93/4.44 (~trans(s199, s3)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[15611, 17778])).
% 4.93/4.44 tff(17964,assumption,(~always3(s72)), introduced(assumption)).
% 4.93/4.44 tff(17965,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s72) | (~trans(s199, s72)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s72) | (~trans(s199, s72)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17966,plain,
% 4.93/4.44 (((~trans(s199, s72)) | (~always3(s199)) | always3(s72)) <=> ((~always3(s199)) | always3(s72) | (~trans(s199, s72)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17967,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s72)) | (~always3(s199)) | always3(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s72) | (~trans(s199, s72))))),
% 4.93/4.44 inference(monotonicity,[status(thm)],[17966])).
% 4.93/4.44 tff(17968,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s72)) | (~always3(s199)) | always3(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s72) | (~trans(s199, s72)))),
% 4.93/4.44 inference(transitivity,[status(thm)],[17967, 17965])).
% 4.93/4.44 tff(17969,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s72)) | (~always3(s199)) | always3(s72))),
% 4.93/4.44 inference(quant_inst,[status(thm)],[])).
% 4.93/4.44 tff(17970,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s72) | (~trans(s199, s72))),
% 4.93/4.44 inference(modus_ponens,[status(thm)],[17969, 17968])).
% 4.93/4.44 tff(17971,plain,
% 4.93/4.44 ($false),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17970, 12497, 38, 15335, 17964])).
% 4.93/4.44 tff(17972,plain,((~trans(s199, s72)) | (~always3(s199)) | always3(s72)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.44 tff(17973,plain,
% 4.93/4.44 ((~trans(s199, s72)) | always3(s72)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17972, 15333])).
% 4.93/4.44 tff(17974,plain,
% 4.93/4.44 (~trans(s199, s72)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17973, 16119])).
% 4.93/4.44 tff(17975,plain,
% 4.93/4.44 (~trans(s199, s29)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[15622, 16163])).
% 4.93/4.44 tff(17976,assumption,(~always3(s57)), introduced(assumption)).
% 4.93/4.44 tff(17977,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s57) | (~trans(s199, s57)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s57) | (~trans(s199, s57)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17978,plain,
% 4.93/4.44 (((~trans(s199, s57)) | (~always3(s199)) | always3(s57)) <=> ((~always3(s199)) | always3(s57) | (~trans(s199, s57)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17979,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s57)) | (~always3(s199)) | always3(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s57) | (~trans(s199, s57))))),
% 4.93/4.44 inference(monotonicity,[status(thm)],[17978])).
% 4.93/4.44 tff(17980,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s57)) | (~always3(s199)) | always3(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s57) | (~trans(s199, s57)))),
% 4.93/4.44 inference(transitivity,[status(thm)],[17979, 17977])).
% 4.93/4.44 tff(17981,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s57)) | (~always3(s199)) | always3(s57))),
% 4.93/4.44 inference(quant_inst,[status(thm)],[])).
% 4.93/4.44 tff(17982,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s57) | (~trans(s199, s57))),
% 4.93/4.44 inference(modus_ponens,[status(thm)],[17981, 17980])).
% 4.93/4.44 tff(17983,plain,
% 4.93/4.44 ($false),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17982, 12530, 38, 15335, 17976])).
% 4.93/4.44 tff(17984,plain,((~trans(s199, s57)) | (~always3(s199)) | always3(s57)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.44 tff(17985,plain,
% 4.93/4.44 ((~trans(s199, s57)) | always3(s57)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17984, 15333])).
% 4.93/4.44 tff(17986,plain,
% 4.93/4.44 (~trans(s199, s57)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17985, 16134])).
% 4.93/4.44 tff(17987,plain,
% 4.93/4.44 (~trans(s199, s23)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[15633, 16169])).
% 4.93/4.44 tff(17988,assumption,(~always3(s65)), introduced(assumption)).
% 4.93/4.44 tff(17989,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s65) | (~trans(s199, s65)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s65) | (~trans(s199, s65)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17990,plain,
% 4.93/4.44 (((~trans(s199, s65)) | (~always3(s199)) | always3(s65)) <=> ((~always3(s199)) | always3(s65) | (~trans(s199, s65)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(17991,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s65)) | (~always3(s199)) | always3(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s65) | (~trans(s199, s65))))),
% 4.93/4.44 inference(monotonicity,[status(thm)],[17990])).
% 4.93/4.44 tff(17992,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s65)) | (~always3(s199)) | always3(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s65) | (~trans(s199, s65)))),
% 4.93/4.44 inference(transitivity,[status(thm)],[17991, 17989])).
% 4.93/4.44 tff(17993,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s65)) | (~always3(s199)) | always3(s65))),
% 4.93/4.44 inference(quant_inst,[status(thm)],[])).
% 4.93/4.44 tff(17994,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s65) | (~trans(s199, s65))),
% 4.93/4.44 inference(modus_ponens,[status(thm)],[17993, 17992])).
% 4.93/4.44 tff(17995,plain,
% 4.93/4.44 ($false),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17994, 12574, 38, 15335, 17988])).
% 4.93/4.44 tff(17996,plain,((~trans(s199, s65)) | (~always3(s199)) | always3(s65)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.44 tff(17997,plain,
% 4.93/4.44 ((~trans(s199, s65)) | always3(s65)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17996, 15333])).
% 4.93/4.44 tff(17998,plain,
% 4.93/4.44 (~trans(s199, s65)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[17997, 16126])).
% 4.93/4.44 tff(17999,assumption,(~always3(s74)), introduced(assumption)).
% 4.93/4.44 tff(18000,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s74) | (~trans(s199, s74)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s74) | (~trans(s199, s74)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(18001,plain,
% 4.93/4.44 (((~trans(s199, s74)) | (~always3(s199)) | always3(s74)) <=> ((~always3(s199)) | always3(s74) | (~trans(s199, s74)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(18002,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s74)) | (~always3(s199)) | always3(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s74) | (~trans(s199, s74))))),
% 4.93/4.44 inference(monotonicity,[status(thm)],[18001])).
% 4.93/4.44 tff(18003,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s74)) | (~always3(s199)) | always3(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s74) | (~trans(s199, s74)))),
% 4.93/4.44 inference(transitivity,[status(thm)],[18002, 18000])).
% 4.93/4.44 tff(18004,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s74)) | (~always3(s199)) | always3(s74))),
% 4.93/4.44 inference(quant_inst,[status(thm)],[])).
% 4.93/4.44 tff(18005,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s74) | (~trans(s199, s74))),
% 4.93/4.44 inference(modus_ponens,[status(thm)],[18004, 18003])).
% 4.93/4.44 tff(18006,plain,
% 4.93/4.44 ($false),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[18005, 12607, 38, 15335, 17999])).
% 4.93/4.44 tff(18007,plain,((~trans(s199, s74)) | (~always3(s199)) | always3(s74)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.44 tff(18008,plain,
% 4.93/4.44 ((~trans(s199, s74)) | always3(s74)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[18007, 15333])).
% 4.93/4.44 tff(18009,plain,
% 4.93/4.44 (~trans(s199, s74)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[18008, 16117])).
% 4.93/4.44 tff(18010,plain,
% 4.93/4.44 (~always3(s0)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[506, 17780])).
% 4.93/4.44 tff(18011,plain,
% 4.93/4.44 (~trans(s199, s0)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[15697, 18010])).
% 4.93/4.44 tff(18012,plain,
% 4.93/4.44 (~trans(s199, s33)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[15654, 16159])).
% 4.93/4.44 tff(18013,plain,
% 4.93/4.44 (~trans(s199, s40)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[15665, 16151])).
% 4.93/4.44 tff(18014,plain,
% 4.93/4.44 (~trans(s199, s44)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[15675, 16147])).
% 4.93/4.44 tff(18015,plain,
% 4.93/4.44 (~trans(s199, s20)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[15685, 16172])).
% 4.93/4.44 tff(18016,assumption,(~always3(s55)), introduced(assumption)).
% 4.93/4.44 tff(18017,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s55) | (~trans(s199, s55)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s55) | (~trans(s199, s55)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(18018,plain,
% 4.93/4.44 (((~trans(s199, s55)) | (~always3(s199)) | always3(s55)) <=> ((~always3(s199)) | always3(s55) | (~trans(s199, s55)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(18019,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s55)) | (~always3(s199)) | always3(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s55) | (~trans(s199, s55))))),
% 4.93/4.44 inference(monotonicity,[status(thm)],[18018])).
% 4.93/4.44 tff(18020,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s55)) | (~always3(s199)) | always3(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s55) | (~trans(s199, s55)))),
% 4.93/4.44 inference(transitivity,[status(thm)],[18019, 18017])).
% 4.93/4.44 tff(18021,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s55)) | (~always3(s199)) | always3(s55))),
% 4.93/4.44 inference(quant_inst,[status(thm)],[])).
% 4.93/4.44 tff(18022,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s55) | (~trans(s199, s55))),
% 4.93/4.44 inference(modus_ponens,[status(thm)],[18021, 18020])).
% 4.93/4.44 tff(18023,plain,
% 4.93/4.44 ($false),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[18022, 12805, 38, 15335, 18016])).
% 4.93/4.44 tff(18024,plain,((~trans(s199, s55)) | (~always3(s199)) | always3(s55)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.44 tff(18025,plain,
% 4.93/4.44 ((~trans(s199, s55)) | always3(s55)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[18024, 15333])).
% 4.93/4.44 tff(18026,plain,
% 4.93/4.44 (~trans(s199, s55)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[18025, 16136])).
% 4.93/4.44 tff(18027,plain,
% 4.93/4.44 (~trans(s199, s10)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[15708, 17754])).
% 4.93/4.44 tff(18028,plain,
% 4.93/4.44 (~trans(s199, s41)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[15719, 16150])).
% 4.93/4.44 tff(18029,assumption,(~always3(s47)), introduced(assumption)).
% 4.93/4.44 tff(18030,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s47) | (~trans(s199, s47)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s47) | (~trans(s199, s47)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(18031,plain,
% 4.93/4.44 (((~trans(s199, s47)) | (~always3(s199)) | always3(s47)) <=> ((~always3(s199)) | always3(s47) | (~trans(s199, s47)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(18032,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s47)) | (~always3(s199)) | always3(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s47) | (~trans(s199, s47))))),
% 4.93/4.44 inference(monotonicity,[status(thm)],[18031])).
% 4.93/4.44 tff(18033,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s47)) | (~always3(s199)) | always3(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s47) | (~trans(s199, s47)))),
% 4.93/4.44 inference(transitivity,[status(thm)],[18032, 18030])).
% 4.93/4.44 tff(18034,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s47)) | (~always3(s199)) | always3(s47))),
% 4.93/4.44 inference(quant_inst,[status(thm)],[])).
% 4.93/4.44 tff(18035,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s47) | (~trans(s199, s47))),
% 4.93/4.44 inference(modus_ponens,[status(thm)],[18034, 18033])).
% 4.93/4.44 tff(18036,plain,
% 4.93/4.44 ($false),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[18035, 12882, 38, 15335, 18029])).
% 4.93/4.44 tff(18037,plain,((~trans(s199, s47)) | (~always3(s199)) | always3(s47)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.44 tff(18038,plain,
% 4.93/4.44 ((~trans(s199, s47)) | always3(s47)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[18037, 15333])).
% 4.93/4.44 tff(18039,plain,
% 4.93/4.44 (~trans(s199, s47)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[18038, 16144])).
% 4.93/4.44 tff(18040,plain,
% 4.93/4.44 (~trans(s199, s28)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[15741, 16164])).
% 4.93/4.44 tff(18041,assumption,(~always3(s71)), introduced(assumption)).
% 4.93/4.44 tff(18042,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s71) | (~trans(s199, s71)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s71) | (~trans(s199, s71)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(18043,plain,
% 4.93/4.44 (((~trans(s199, s71)) | (~always3(s199)) | always3(s71)) <=> ((~always3(s199)) | always3(s71) | (~trans(s199, s71)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(18044,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s71)) | (~always3(s199)) | always3(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s71) | (~trans(s199, s71))))),
% 4.93/4.44 inference(monotonicity,[status(thm)],[18043])).
% 4.93/4.44 tff(18045,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s71)) | (~always3(s199)) | always3(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s71) | (~trans(s199, s71)))),
% 4.93/4.44 inference(transitivity,[status(thm)],[18044, 18042])).
% 4.93/4.44 tff(18046,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s71)) | (~always3(s199)) | always3(s71))),
% 4.93/4.44 inference(quant_inst,[status(thm)],[])).
% 4.93/4.44 tff(18047,plain,
% 4.93/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s71) | (~trans(s199, s71))),
% 4.93/4.44 inference(modus_ponens,[status(thm)],[18046, 18045])).
% 4.93/4.44 tff(18048,plain,
% 4.93/4.44 ($false),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[18047, 12926, 38, 15335, 18041])).
% 4.93/4.44 tff(18049,plain,((~trans(s199, s71)) | (~always3(s199)) | always3(s71)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.44 tff(18050,plain,
% 4.93/4.44 ((~trans(s199, s71)) | always3(s71)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[18049, 15333])).
% 4.93/4.44 tff(18051,plain,
% 4.93/4.44 (~trans(s199, s71)),
% 4.93/4.44 inference(unit_resolution,[status(thm)],[18050, 16120])).
% 4.93/4.44 tff(18052,assumption,(~always3(s53)), introduced(assumption)).
% 4.93/4.44 tff(18053,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s53) | (~trans(s199, s53)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s53) | (~trans(s199, s53)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(18054,plain,
% 4.93/4.44 (((~trans(s199, s53)) | (~always3(s199)) | always3(s53)) <=> ((~always3(s199)) | always3(s53) | (~trans(s199, s53)))),
% 4.93/4.44 inference(rewrite,[status(thm)],[])).
% 4.93/4.44 tff(18055,plain,
% 4.93/4.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s53)) | (~always3(s199)) | always3(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s53) | (~trans(s199, s53))))),
% 4.93/4.45 inference(monotonicity,[status(thm)],[18054])).
% 4.93/4.45 tff(18056,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s53)) | (~always3(s199)) | always3(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s53) | (~trans(s199, s53)))),
% 4.93/4.45 inference(transitivity,[status(thm)],[18055, 18053])).
% 4.93/4.45 tff(18057,plain,
% 4.93/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s53)) | (~always3(s199)) | always3(s53))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18058,plain,
% 4.93/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s53) | (~trans(s199, s53))),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18057, 18056])).
% 4.93/4.45 tff(18059,plain,
% 4.93/4.45 ($false),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18058, 12948, 38, 15335, 18052])).
% 4.93/4.45 tff(18060,plain,((~trans(s199, s53)) | (~always3(s199)) | always3(s53)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.45 tff(18061,plain,
% 4.93/4.45 ((~trans(s199, s53)) | always3(s53)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18060, 15333])).
% 4.93/4.45 tff(18062,plain,
% 4.93/4.45 (~trans(s199, s53)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18061, 16138])).
% 4.93/4.45 tff(18063,plain,
% 4.93/4.45 (~trans(s199, s24)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[15751, 16168])).
% 4.93/4.45 tff(18064,plain,
% 4.93/4.45 (~trans(s199, s25)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[15761, 16167])).
% 4.93/4.45 tff(18065,assumption,(~always3(s62)), introduced(assumption)).
% 4.93/4.45 tff(18066,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s62) | (~trans(s199, s62)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s62) | (~trans(s199, s62)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18067,plain,
% 4.93/4.45 (((~trans(s199, s62)) | (~always3(s199)) | always3(s62)) <=> ((~always3(s199)) | always3(s62) | (~trans(s199, s62)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18068,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s62)) | (~always3(s199)) | always3(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s62) | (~trans(s199, s62))))),
% 4.93/4.45 inference(monotonicity,[status(thm)],[18067])).
% 4.93/4.45 tff(18069,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s62)) | (~always3(s199)) | always3(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s62) | (~trans(s199, s62)))),
% 4.93/4.45 inference(transitivity,[status(thm)],[18068, 18066])).
% 4.93/4.45 tff(18070,plain,
% 4.93/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s62)) | (~always3(s199)) | always3(s62))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18071,plain,
% 4.93/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s62) | (~trans(s199, s62))),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18070, 18069])).
% 4.93/4.45 tff(18072,plain,
% 4.93/4.45 ($false),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18071, 13003, 38, 15335, 18065])).
% 4.93/4.45 tff(18073,plain,((~trans(s199, s62)) | (~always3(s199)) | always3(s62)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.45 tff(18074,plain,
% 4.93/4.45 ((~trans(s199, s62)) | always3(s62)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18073, 15333])).
% 4.93/4.45 tff(18075,plain,
% 4.93/4.45 (~trans(s199, s62)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18074, 16129])).
% 4.93/4.45 tff(18076,plain,
% 4.93/4.45 (~trans(s199, s17)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[15771, 16175])).
% 4.93/4.45 tff(18077,plain,
% 4.93/4.45 (~trans(s199, s9)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[15781, 17755])).
% 4.93/4.45 tff(18078,assumption,(~always3(s73)), introduced(assumption)).
% 4.93/4.45 tff(18079,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s73) | (~trans(s199, s73)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s73) | (~trans(s199, s73)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18080,plain,
% 4.93/4.45 (((~trans(s199, s73)) | (~always3(s199)) | always3(s73)) <=> ((~always3(s199)) | always3(s73) | (~trans(s199, s73)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18081,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s73)) | (~always3(s199)) | always3(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s73) | (~trans(s199, s73))))),
% 4.93/4.45 inference(monotonicity,[status(thm)],[18080])).
% 4.93/4.45 tff(18082,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s73)) | (~always3(s199)) | always3(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s73) | (~trans(s199, s73)))),
% 4.93/4.45 inference(transitivity,[status(thm)],[18081, 18079])).
% 4.93/4.45 tff(18083,plain,
% 4.93/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s73)) | (~always3(s199)) | always3(s73))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18084,plain,
% 4.93/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s73) | (~trans(s199, s73))),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18083, 18082])).
% 4.93/4.45 tff(18085,plain,
% 4.93/4.45 ($false),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18084, 13047, 38, 15335, 18078])).
% 4.93/4.45 tff(18086,plain,((~trans(s199, s73)) | (~always3(s199)) | always3(s73)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.45 tff(18087,plain,
% 4.93/4.45 ((~trans(s199, s73)) | always3(s73)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18086, 15333])).
% 4.93/4.45 tff(18088,plain,
% 4.93/4.45 (~trans(s199, s73)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18087, 16118])).
% 4.93/4.45 tff(18089,assumption,(~always3(s49)), introduced(assumption)).
% 4.93/4.45 tff(18090,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s49) | (~trans(s199, s49)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s49) | (~trans(s199, s49)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18091,plain,
% 4.93/4.45 (((~trans(s199, s49)) | (~always3(s199)) | always3(s49)) <=> ((~always3(s199)) | always3(s49) | (~trans(s199, s49)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18092,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s49)) | (~always3(s199)) | always3(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s49) | (~trans(s199, s49))))),
% 4.93/4.45 inference(monotonicity,[status(thm)],[18091])).
% 4.93/4.45 tff(18093,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s49)) | (~always3(s199)) | always3(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s49) | (~trans(s199, s49)))),
% 4.93/4.45 inference(transitivity,[status(thm)],[18092, 18090])).
% 4.93/4.45 tff(18094,plain,
% 4.93/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s49)) | (~always3(s199)) | always3(s49))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18095,plain,
% 4.93/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s49) | (~trans(s199, s49))),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18094, 18093])).
% 4.93/4.45 tff(18096,plain,
% 4.93/4.45 ($false),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18095, 13069, 38, 15335, 18089])).
% 4.93/4.45 tff(18097,plain,((~trans(s199, s49)) | (~always3(s199)) | always3(s49)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.45 tff(18098,plain,
% 4.93/4.45 ((~trans(s199, s49)) | always3(s49)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18097, 15333])).
% 4.93/4.45 tff(18099,plain,
% 4.93/4.45 (~trans(s199, s49)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18098, 16142])).
% 4.93/4.45 tff(18100,assumption,(~always3(s58)), introduced(assumption)).
% 4.93/4.45 tff(18101,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s58) | (~trans(s199, s58)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s58) | (~trans(s199, s58)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18102,plain,
% 4.93/4.45 (((~trans(s199, s58)) | (~always3(s199)) | always3(s58)) <=> ((~always3(s199)) | always3(s58) | (~trans(s199, s58)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18103,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s58)) | (~always3(s199)) | always3(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s58) | (~trans(s199, s58))))),
% 4.93/4.45 inference(monotonicity,[status(thm)],[18102])).
% 4.93/4.45 tff(18104,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s58)) | (~always3(s199)) | always3(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s58) | (~trans(s199, s58)))),
% 4.93/4.45 inference(transitivity,[status(thm)],[18103, 18101])).
% 4.93/4.45 tff(18105,plain,
% 4.93/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s58)) | (~always3(s199)) | always3(s58))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18106,plain,
% 4.93/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s58) | (~trans(s199, s58))),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18105, 18104])).
% 4.93/4.45 tff(18107,plain,
% 4.93/4.45 ($false),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18106, 13135, 38, 15335, 18100])).
% 4.93/4.45 tff(18108,plain,((~trans(s199, s58)) | (~always3(s199)) | always3(s58)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.45 tff(18109,plain,
% 4.93/4.45 ((~trans(s199, s58)) | always3(s58)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18108, 15333])).
% 4.93/4.45 tff(18110,plain,
% 4.93/4.45 (~trans(s199, s58)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18109, 16133])).
% 4.93/4.45 tff(18111,plain,
% 4.93/4.45 (~trans(s199, s18)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[15802, 16174])).
% 4.93/4.45 tff(18112,plain,
% 4.93/4.45 (~trans(s199, s14)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[15813, 17750])).
% 4.93/4.45 tff(18113,plain,
% 4.93/4.45 (~trans(s199, s13)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[15792, 17751])).
% 4.93/4.45 tff(18114,plain,
% 4.93/4.45 (~trans(s199, s39)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[15730, 16152])).
% 4.93/4.45 tff(18115,plain,
% 4.93/4.45 (~trans(s199, s2)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[15643, 17779])).
% 4.93/4.45 tff(18116,assumption,(~always3(s50)), introduced(assumption)).
% 4.93/4.45 tff(18117,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s50) | (~trans(s199, s50)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s50) | (~trans(s199, s50)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18118,plain,
% 4.93/4.45 (((~trans(s199, s50)) | (~always3(s199)) | always3(s50)) <=> ((~always3(s199)) | always3(s50) | (~trans(s199, s50)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18119,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s50)) | (~always3(s199)) | always3(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s50) | (~trans(s199, s50))))),
% 4.93/4.45 inference(monotonicity,[status(thm)],[18118])).
% 4.93/4.45 tff(18120,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s50)) | (~always3(s199)) | always3(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s50) | (~trans(s199, s50)))),
% 4.93/4.45 inference(transitivity,[status(thm)],[18119, 18117])).
% 4.93/4.45 tff(18121,plain,
% 4.93/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s50)) | (~always3(s199)) | always3(s50))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18122,plain,
% 4.93/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s50) | (~trans(s199, s50))),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18121, 18120])).
% 4.93/4.45 tff(18123,plain,
% 4.93/4.45 ($false),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18122, 13212, 38, 15335, 18116])).
% 4.93/4.45 tff(18124,plain,((~trans(s199, s50)) | (~always3(s199)) | always3(s50)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.45 tff(18125,plain,
% 4.93/4.45 ((~trans(s199, s50)) | always3(s50)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18124, 15333])).
% 4.93/4.45 tff(18126,plain,
% 4.93/4.45 (~trans(s199, s50)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18125, 16141])).
% 4.93/4.45 tff(18127,plain,
% 4.93/4.45 (~trans(s199, s36)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[15397, 16156])).
% 4.93/4.45 tff(18128,assumption,(~always3(s63)), introduced(assumption)).
% 4.93/4.45 tff(18129,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s63) | (~trans(s199, s63)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s63) | (~trans(s199, s63)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18130,plain,
% 4.93/4.45 (((~trans(s199, s63)) | (~always3(s199)) | always3(s63)) <=> ((~always3(s199)) | always3(s63) | (~trans(s199, s63)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18131,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s63)) | (~always3(s199)) | always3(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s63) | (~trans(s199, s63))))),
% 4.93/4.45 inference(monotonicity,[status(thm)],[18130])).
% 4.93/4.45 tff(18132,plain,
% 4.93/4.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s63)) | (~always3(s199)) | always3(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s63) | (~trans(s199, s63)))),
% 4.93/4.45 inference(transitivity,[status(thm)],[18131, 18129])).
% 4.93/4.45 tff(18133,plain,
% 4.93/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s63)) | (~always3(s199)) | always3(s63))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18134,plain,
% 4.93/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s63) | (~trans(s199, s63))),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18133, 18132])).
% 4.93/4.45 tff(18135,plain,
% 4.93/4.45 ($false),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18134, 13322, 38, 15335, 18128])).
% 4.93/4.45 tff(18136,plain,((~trans(s199, s63)) | (~always3(s199)) | always3(s63)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.45 tff(18137,plain,
% 4.93/4.45 ((~trans(s199, s63)) | always3(s63)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18136, 15333])).
% 4.93/4.45 tff(18138,plain,
% 4.93/4.45 (~trans(s199, s63)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18137, 16128])).
% 4.93/4.45 tff(18139,assumption,(node1(s199)), introduced(assumption)).
% 4.93/4.45 tff(18140,plain,
% 4.93/4.45 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s199) | (~node1(s199)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s199) | (~node1(s199)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18141,plain,
% 4.93/4.45 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s199) | (~node1(s199)))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18142,plain,
% 4.93/4.45 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s199) | (~node1(s199))),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18141, 18140])).
% 4.93/4.45 tff(18143,plain,
% 4.93/4.45 ($false),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18142, 2276, 13, 18139])).
% 4.93/4.45 tff(18144,plain,((~node1(s199)) | m_main_v_request(s199)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.45 tff(18145,plain,
% 4.93/4.45 (~node1(s199)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18144, 13])).
% 4.93/4.45 tff(18146,assumption,(until5(s111)), introduced(assumption)).
% 4.93/4.45 tff(18147,assumption,(~xuntil6(s113)), introduced(assumption)).
% 4.93/4.45 tff(18148,assumption,(until5(s113)), introduced(assumption)).
% 4.93/4.45 tff(18149,plain,
% 4.93/4.45 (xuntil6(s113) | node4(s113)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[7752, 225, 18148])).
% 4.93/4.45 tff(18150,plain,
% 4.93/4.45 (node4(s113)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18149, 18147])).
% 4.93/4.45 tff(18151,plain,
% 4.93/4.45 (((~![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)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18152,plain,
% 4.93/4.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s113) | (~node4(s113)))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18153,plain,
% 4.93/4.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s113) | (~node4(s113))),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18152, 18151])).
% 4.93/4.45 tff(18154,plain,
% 4.93/4.45 (m_main_v_request(s113)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18153, 63, 18150])).
% 4.93/4.45 tff(18155,assumption,(~always3(s113)), introduced(assumption)).
% 4.93/4.45 tff(18156,plain,
% 4.93/4.45 (~always3(s112)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[5616, 18155])).
% 4.93/4.45 tff(18157,plain,
% 4.93/4.45 (~node4(s112)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[7728, 113, 18156])).
% 4.93/4.45 tff(18158,plain,
% 4.93/4.45 (~node4(s113)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[7745, 113, 18155])).
% 4.93/4.45 tff(18159,plain,
% 4.93/4.45 (node4(s113) | (~until5(s113))),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[7752, 225, 18147])).
% 4.93/4.45 tff(18160,plain,
% 4.93/4.45 (~until5(s113)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18159, 18158])).
% 4.93/4.45 tff(18161,plain,
% 4.93/4.45 (~xuntil6(s112)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[7741, 18160])).
% 4.93/4.45 tff(18162,plain,
% 4.93/4.45 (~always3(s111)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[5628, 18156])).
% 4.93/4.45 tff(18163,plain,
% 4.93/4.45 (~node4(s111)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[7711, 113, 18162])).
% 4.93/4.45 tff(18164,plain,
% 4.93/4.45 (xuntil6(s111) | node4(s111)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[7718, 225, 18146])).
% 4.93/4.45 tff(18165,plain,
% 4.93/4.45 (xuntil6(s111)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18164, 18163])).
% 4.93/4.45 tff(18166,plain,
% 4.93/4.45 (until5(s112)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[7724, 18165])).
% 4.93/4.45 tff(18167,plain,
% 4.93/4.45 ($false),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[7735, 225, 18166, 18161, 18157])).
% 4.93/4.45 tff(18168,plain,(always3(s113) | (~until5(s111)) | xuntil6(s113)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.45 tff(18169,plain,
% 4.93/4.45 (always3(s113)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18168, 18147, 18146])).
% 4.93/4.45 tff(18170,plain,
% 4.93/4.45 (always3(s114)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[5604, 18169])).
% 4.93/4.45 tff(18171,plain,
% 4.93/4.45 (((~![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)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18172,plain,
% 4.93/4.45 (((~m_main_v_state(s114, c_busy)) | (~always3(s114))) <=> ((~always3(s114)) | (~m_main_v_state(s114, c_busy)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18173,plain,
% 4.93/4.45 (((~![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))))),
% 4.93/4.45 inference(monotonicity,[status(thm)],[18172])).
% 4.93/4.45 tff(18174,plain,
% 4.93/4.45 (((~![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)))),
% 4.93/4.45 inference(transitivity,[status(thm)],[18173, 18171])).
% 4.93/4.45 tff(18175,plain,
% 4.93/4.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s114, c_busy)) | (~always3(s114)))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18176,plain,
% 4.93/4.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s114)) | (~m_main_v_state(s114, c_busy))),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18175, 18174])).
% 4.93/4.45 tff(18177,plain,
% 4.93/4.45 (~m_main_v_state(s114, c_busy)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18176, 145, 18170])).
% 4.93/4.45 tff(18178,plain,
% 4.93/4.45 (((~![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))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18179,plain,
% 4.93/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s113, s114)) | node2(s113, s114))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18180,plain,
% 4.93/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s113, s114)) | node2(s113, s114)),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18179, 18178])).
% 4.93/4.45 tff(18181,plain,
% 4.93/4.45 (node2(s113, s114)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18180, 7, 5600])).
% 4.93/4.45 tff(18182,plain,
% 4.93/4.45 (((~![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(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)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18183,plain,
% 4.93/4.45 ((~![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(s113, c_ready)) | (~node2(s113, s114)) | m_main_v_state(s114, c_busy) | (~m_main_v_request(s113)))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18184,plain,
% 4.93/4.45 ((~![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(s113, c_ready)) | (~node2(s113, s114)) | m_main_v_state(s114, c_busy) | (~m_main_v_request(s113))),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18183, 18182])).
% 4.93/4.45 tff(18185,plain,
% 4.93/4.45 ((~m_main_v_state(s113, c_ready)) | m_main_v_state(s114, c_busy) | (~m_main_v_request(s113))),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18184, 166, 18181])).
% 4.93/4.45 tff(18186,plain,
% 4.93/4.45 (~m_main_v_state(s113, c_ready)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18185, 18177, 18154])).
% 4.93/4.45 tff(18187,plain,
% 4.93/4.45 (((~![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)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18188,plain,
% 4.93/4.45 (((~m_main_v_state(s113, c_busy)) | (~always3(s113))) <=> ((~always3(s113)) | (~m_main_v_state(s113, c_busy)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18189,plain,
% 4.93/4.45 (((~![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))))),
% 4.93/4.45 inference(monotonicity,[status(thm)],[18188])).
% 4.93/4.45 tff(18190,plain,
% 4.93/4.45 (((~![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)))),
% 4.93/4.45 inference(transitivity,[status(thm)],[18189, 18187])).
% 4.93/4.45 tff(18191,plain,
% 4.93/4.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s113, c_busy)) | (~always3(s113)))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18192,plain,
% 4.93/4.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s113)) | (~m_main_v_state(s113, c_busy))),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18191, 18190])).
% 4.93/4.45 tff(18193,plain,
% 4.93/4.45 (~m_main_v_state(s113, c_busy)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18192, 145, 18169])).
% 4.93/4.45 tff(18194,plain,
% 4.93/4.45 (((~![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))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18195,plain,
% 4.93/4.45 ((~![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))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18196,plain,
% 4.93/4.45 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s113, c_busy) | m_main_v_state(s113, c_ready)),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18195, 18194])).
% 4.93/4.45 tff(18197,plain,
% 4.93/4.45 ($false),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18196, 188, 18193, 18186])).
% 4.93/4.45 tff(18198,plain,(xuntil6(s113) | (~until5(s113)) | (~until5(s111))), inference(lemma,lemma(discharge,[]))).
% 4.93/4.45 tff(18199,plain,
% 4.93/4.45 (~until5(s113)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18198, 18146, 18147])).
% 4.93/4.45 tff(18200,plain,
% 4.93/4.45 (~xuntil6(s112)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[7741, 18199])).
% 4.93/4.45 tff(18201,assumption,(node4(s111)), introduced(assumption)).
% 4.93/4.45 tff(18202,plain,
% 4.93/4.45 (((~![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)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18203,plain,
% 4.93/4.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s111) | (~node4(s111)))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18204,plain,
% 4.93/4.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s111) | (~node4(s111))),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18203, 18202])).
% 4.93/4.45 tff(18205,plain,
% 4.93/4.45 (m_main_v_request(s111)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18204, 63, 18201])).
% 4.93/4.45 tff(18206,plain,
% 4.93/4.45 (always3(s111)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[7711, 113, 18201])).
% 4.93/4.45 tff(18207,plain,
% 4.93/4.45 (always3(s112)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[5628, 18206])).
% 4.93/4.45 tff(18208,plain,
% 4.93/4.45 (((~![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)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18209,plain,
% 4.93/4.45 (((~m_main_v_state(s112, c_busy)) | (~always3(s112))) <=> ((~always3(s112)) | (~m_main_v_state(s112, c_busy)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18210,plain,
% 4.93/4.45 (((~![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))))),
% 4.93/4.45 inference(monotonicity,[status(thm)],[18209])).
% 4.93/4.45 tff(18211,plain,
% 4.93/4.45 (((~![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)))),
% 4.93/4.45 inference(transitivity,[status(thm)],[18210, 18208])).
% 4.93/4.45 tff(18212,plain,
% 4.93/4.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s112, c_busy)) | (~always3(s112)))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18213,plain,
% 4.93/4.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s112)) | (~m_main_v_state(s112, c_busy))),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18212, 18211])).
% 4.93/4.45 tff(18214,plain,
% 4.93/4.45 (~m_main_v_state(s112, c_busy)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18213, 145, 18207])).
% 4.93/4.45 tff(18215,plain,
% 4.93/4.45 (((~![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))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18216,plain,
% 4.93/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s111, s112)) | node2(s111, s112))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18217,plain,
% 4.93/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s111, s112)) | node2(s111, s112)),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18216, 18215])).
% 4.93/4.45 tff(18218,plain,
% 4.93/4.45 (node2(s111, s112)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18217, 7, 5624])).
% 4.93/4.45 tff(18219,plain,
% 4.93/4.45 (((~![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(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)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18220,plain,
% 4.93/4.45 ((~![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(s111, c_ready)) | (~node2(s111, s112)) | m_main_v_state(s112, c_busy) | (~m_main_v_request(s111)))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18221,plain,
% 4.93/4.45 ((~![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(s111, c_ready)) | (~node2(s111, s112)) | m_main_v_state(s112, c_busy) | (~m_main_v_request(s111))),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18220, 18219])).
% 4.93/4.45 tff(18222,plain,
% 4.93/4.45 ((~m_main_v_state(s111, c_ready)) | m_main_v_state(s112, c_busy) | (~m_main_v_request(s111))),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18221, 166, 18218])).
% 4.93/4.45 tff(18223,plain,
% 4.93/4.45 (~m_main_v_state(s111, c_ready)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18222, 18214, 18205])).
% 4.93/4.45 tff(18224,plain,
% 4.93/4.45 (~m_main_v_state(s111, c_busy)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[17678, 145, 18206])).
% 4.93/4.45 tff(18225,plain,
% 4.93/4.45 (((~![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))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18226,plain,
% 4.93/4.45 ((~![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))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18227,plain,
% 4.93/4.45 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s111, c_busy) | m_main_v_state(s111, c_ready)),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18226, 18225])).
% 4.93/4.45 tff(18228,plain,
% 4.93/4.45 ($false),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18227, 188, 18224, 18223])).
% 4.93/4.45 tff(18229,plain,(~node4(s111)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.45 tff(18230,plain,
% 4.93/4.45 (xuntil6(s111) | (~until5(s111))),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[7718, 225, 18229])).
% 4.93/4.45 tff(18231,plain,
% 4.93/4.45 (xuntil6(s111)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18230, 18146])).
% 4.93/4.45 tff(18232,plain,
% 4.93/4.45 (until5(s112)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[7724, 18231])).
% 4.93/4.45 tff(18233,plain,
% 4.93/4.45 (node4(s112)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[7735, 225, 18232, 18200])).
% 4.93/4.45 tff(18234,plain,
% 4.93/4.45 (always3(s113)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18168, 18146, 18147])).
% 4.93/4.45 tff(18235,plain,
% 4.93/4.45 (~m_main_v_state(s113, c_busy)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18192, 145, 18234])).
% 4.93/4.45 tff(18236,assumption,(~m_main_v_state(s113, c_busy)), introduced(assumption)).
% 4.93/4.45 tff(18237,assumption,(node4(s112)), introduced(assumption)).
% 4.93/4.45 tff(18238,plain,
% 4.93/4.45 (((~![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)))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.45 tff(18239,plain,
% 4.93/4.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s112) | (~node4(s112)))),
% 4.93/4.45 inference(quant_inst,[status(thm)],[])).
% 4.93/4.45 tff(18240,plain,
% 4.93/4.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s112) | (~node4(s112))),
% 4.93/4.45 inference(modus_ponens,[status(thm)],[18239, 18238])).
% 4.93/4.45 tff(18241,plain,
% 4.93/4.45 (m_main_v_request(s112)),
% 4.93/4.45 inference(unit_resolution,[status(thm)],[18240, 63, 18237])).
% 4.93/4.45 tff(18242,plain,
% 4.93/4.45 (((~![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))),
% 4.93/4.45 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18243,plain,
% 4.93/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s112, s113)) | node2(s112, s113))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18244,plain,
% 4.93/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s112, s113)) | node2(s112, s113)),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18243, 18242])).
% 4.93/4.46 tff(18245,plain,
% 4.93/4.46 (node2(s112, s113)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18244, 7, 5612])).
% 4.93/4.46 tff(18246,plain,
% 4.93/4.46 (((~![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(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)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18247,plain,
% 4.93/4.46 ((~![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(s112, c_ready)) | (~node2(s112, s113)) | m_main_v_state(s113, c_busy) | (~m_main_v_request(s112)))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18248,plain,
% 4.93/4.46 ((~![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(s112, c_ready)) | (~node2(s112, s113)) | m_main_v_state(s113, c_busy) | (~m_main_v_request(s112))),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18247, 18246])).
% 4.93/4.46 tff(18249,plain,
% 4.93/4.46 ((~m_main_v_state(s112, c_ready)) | m_main_v_state(s113, c_busy) | (~m_main_v_request(s112))),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18248, 166, 18245])).
% 4.93/4.46 tff(18250,plain,
% 4.93/4.46 (~m_main_v_state(s112, c_ready)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18249, 18241, 18236])).
% 4.93/4.46 tff(18251,plain,
% 4.93/4.46 (always3(s112)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7728, 113, 18237])).
% 4.93/4.46 tff(18252,plain,
% 4.93/4.46 (~m_main_v_state(s112, c_busy)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18213, 145, 18251])).
% 4.93/4.46 tff(18253,plain,
% 4.93/4.46 (((~![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))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18254,plain,
% 4.93/4.46 ((~![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))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18255,plain,
% 4.93/4.46 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s112, c_busy) | m_main_v_state(s112, c_ready)),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18254, 18253])).
% 4.93/4.46 tff(18256,plain,
% 4.93/4.46 ($false),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18255, 188, 18252, 18250])).
% 4.93/4.46 tff(18257,plain,((~node4(s112)) | m_main_v_state(s113, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.46 tff(18258,plain,
% 4.93/4.46 ($false),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18257, 18235, 18233])).
% 4.93/4.46 tff(18259,plain,((~until5(s111)) | xuntil6(s113)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.46 tff(18260,plain,
% 4.93/4.46 (xuntil6(s113)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18259, 18146])).
% 4.93/4.46 tff(18261,plain,
% 4.93/4.46 (until5(s114)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7758, 18260])).
% 4.93/4.46 tff(18262,assumption,(until5(s114)), introduced(assumption)).
% 4.93/4.46 tff(18263,assumption,(~xuntil6(s115)), introduced(assumption)).
% 4.93/4.46 tff(18264,assumption,(~always3(s115)), introduced(assumption)).
% 4.93/4.46 tff(18265,plain,
% 4.93/4.46 (~always3(s114)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[5592, 18264])).
% 4.93/4.46 tff(18266,plain,
% 4.93/4.46 (~node4(s114)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7762, 113, 18265])).
% 4.93/4.46 tff(18267,plain,
% 4.93/4.46 (xuntil6(s114) | node4(s114)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7769, 225, 18262])).
% 4.93/4.46 tff(18268,plain,
% 4.93/4.46 (xuntil6(s114)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18267, 18266])).
% 4.93/4.46 tff(18269,plain,
% 4.93/4.46 (until5(s115)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7775, 18268])).
% 4.93/4.46 tff(18270,plain,
% 4.93/4.46 (node4(s115) | (~until5(s115))),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7786, 225, 18263])).
% 4.93/4.46 tff(18271,plain,
% 4.93/4.46 (node4(s115)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18270, 18269])).
% 4.93/4.46 tff(18272,plain,
% 4.93/4.46 ($false),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7779, 113, 18264, 18271])).
% 4.93/4.46 tff(18273,plain,(always3(s115) | xuntil6(s115) | (~until5(s114))), inference(lemma,lemma(discharge,[]))).
% 4.93/4.46 tff(18274,plain,
% 4.93/4.46 (always3(s115)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18273, 18262, 18263])).
% 4.93/4.46 tff(18275,plain,
% 4.93/4.46 (((~![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)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18276,plain,
% 4.93/4.46 (((~m_main_v_state(s115, c_busy)) | (~always3(s115))) <=> ((~always3(s115)) | (~m_main_v_state(s115, c_busy)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18277,plain,
% 4.93/4.46 (((~![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))))),
% 4.93/4.46 inference(monotonicity,[status(thm)],[18276])).
% 4.93/4.46 tff(18278,plain,
% 4.93/4.46 (((~![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)))),
% 4.93/4.46 inference(transitivity,[status(thm)],[18277, 18275])).
% 4.93/4.46 tff(18279,plain,
% 4.93/4.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s115, c_busy)) | (~always3(s115)))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18280,plain,
% 4.93/4.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s115)) | (~m_main_v_state(s115, c_busy))),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18279, 18278])).
% 4.93/4.46 tff(18281,plain,
% 4.93/4.46 (~m_main_v_state(s115, c_busy)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18280, 145, 18274])).
% 4.93/4.46 tff(18282,assumption,(~m_main_v_state(s116, c_busy)), introduced(assumption)).
% 4.93/4.46 tff(18283,plain,
% 4.93/4.46 (((~![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))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18284,plain,
% 4.93/4.46 ((~![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))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18285,plain,
% 4.93/4.46 ((~![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)),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18284, 18283])).
% 4.93/4.46 tff(18286,plain,
% 4.93/4.46 (m_main_v_state(s115, c_ready)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18285, 188, 18281])).
% 4.93/4.46 tff(18287,plain,
% 4.93/4.46 (((~![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))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18288,plain,
% 4.93/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s115, s116)) | node2(s115, s116))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18289,plain,
% 4.93/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s115, s116)) | node2(s115, s116)),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18288, 18287])).
% 4.93/4.46 tff(18290,plain,
% 4.93/4.46 (node2(s115, s116)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18289, 7, 5576])).
% 4.93/4.46 tff(18291,plain,
% 4.93/4.46 (((~![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(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)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18292,plain,
% 4.93/4.46 ((~![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(s115, c_ready)) | (~node2(s115, s116)) | m_main_v_state(s116, c_busy) | (~m_main_v_request(s115)))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18293,plain,
% 4.93/4.46 ((~![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(s115, c_ready)) | (~node2(s115, s116)) | m_main_v_state(s116, c_busy) | (~m_main_v_request(s115))),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18292, 18291])).
% 4.93/4.46 tff(18294,plain,
% 4.93/4.46 ((~m_main_v_state(s115, c_ready)) | m_main_v_state(s116, c_busy) | (~m_main_v_request(s115))),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18293, 166, 18290])).
% 4.93/4.46 tff(18295,plain,
% 4.93/4.46 (~m_main_v_request(s115)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18294, 18286, 18282])).
% 4.93/4.46 tff(18296,plain,
% 4.93/4.46 (((~![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)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18297,plain,
% 4.93/4.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s115) | (~node4(s115)))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18298,plain,
% 4.93/4.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s115) | (~node4(s115))),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18297, 18296])).
% 4.93/4.46 tff(18299,plain,
% 4.93/4.46 (~node4(s115)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18298, 63, 18295])).
% 4.93/4.46 tff(18300,plain,
% 4.93/4.46 (~until5(s115)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18270, 18299])).
% 4.93/4.46 tff(18301,plain,
% 4.93/4.46 (~xuntil6(s114)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7775, 18300])).
% 4.93/4.46 tff(18302,plain,
% 4.93/4.46 (node4(s114)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18267, 18301])).
% 4.93/4.46 tff(18303,plain,
% 4.93/4.46 (((~![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)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18304,plain,
% 4.93/4.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s114) | (~node4(s114)))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18305,plain,
% 4.93/4.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s114) | (~node4(s114))),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18304, 18303])).
% 4.93/4.46 tff(18306,plain,
% 4.93/4.46 (m_main_v_request(s114)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18305, 63, 18302])).
% 4.93/4.46 tff(18307,plain,
% 4.93/4.46 (((~![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))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18308,plain,
% 4.93/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s114, s115)) | node2(s114, s115))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18309,plain,
% 4.93/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s114, s115)) | node2(s114, s115)),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18308, 18307])).
% 4.93/4.46 tff(18310,plain,
% 4.93/4.46 (node2(s114, s115)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18309, 7, 5588])).
% 4.93/4.46 tff(18311,plain,
% 4.93/4.46 (((~![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(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)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18312,plain,
% 4.93/4.46 ((~![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(s114, c_ready)) | (~node2(s114, s115)) | m_main_v_state(s115, c_busy) | (~m_main_v_request(s114)))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18313,plain,
% 4.93/4.46 ((~![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(s114, c_ready)) | (~node2(s114, s115)) | m_main_v_state(s115, c_busy) | (~m_main_v_request(s114))),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18312, 18311])).
% 4.93/4.46 tff(18314,plain,
% 4.93/4.46 ((~m_main_v_state(s114, c_ready)) | m_main_v_state(s115, c_busy) | (~m_main_v_request(s114))),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18313, 166, 18310])).
% 4.93/4.46 tff(18315,plain,
% 4.93/4.46 (~m_main_v_state(s114, c_ready)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18314, 18306, 18281])).
% 4.93/4.46 tff(18316,plain,
% 4.93/4.46 (always3(s114)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7762, 113, 18302])).
% 4.93/4.46 tff(18317,plain,
% 4.93/4.46 (~m_main_v_state(s114, c_busy)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18176, 145, 18316])).
% 4.93/4.46 tff(18318,plain,
% 4.93/4.46 (((~![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))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18319,plain,
% 4.93/4.46 ((~![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))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18320,plain,
% 4.93/4.46 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s114, c_busy) | m_main_v_state(s114, c_ready)),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18319, 18318])).
% 4.93/4.46 tff(18321,plain,
% 4.93/4.46 ($false),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18320, 188, 18317, 18315])).
% 4.93/4.46 tff(18322,plain,((~until5(s114)) | xuntil6(s115) | m_main_v_state(s116, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.46 tff(18323,plain,
% 4.93/4.46 (m_main_v_state(s116, c_busy)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18322, 18263, 18262])).
% 4.93/4.46 tff(18324,plain,
% 4.93/4.46 (always3(s115)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18273, 18263, 18262])).
% 4.93/4.46 tff(18325,plain,
% 4.93/4.46 (always3(s116)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[5580, 18324])).
% 4.93/4.46 tff(18326,plain,
% 4.93/4.46 (((~![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)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18327,plain,
% 4.93/4.46 (((~m_main_v_state(s116, c_busy)) | (~always3(s116))) <=> ((~always3(s116)) | (~m_main_v_state(s116, c_busy)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18328,plain,
% 4.93/4.46 (((~![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))))),
% 4.93/4.46 inference(monotonicity,[status(thm)],[18327])).
% 4.93/4.46 tff(18329,plain,
% 4.93/4.46 (((~![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)))),
% 4.93/4.46 inference(transitivity,[status(thm)],[18328, 18326])).
% 4.93/4.46 tff(18330,plain,
% 4.93/4.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s116, c_busy)) | (~always3(s116)))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18331,plain,
% 4.93/4.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s116)) | (~m_main_v_state(s116, c_busy))),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18330, 18329])).
% 4.93/4.46 tff(18332,plain,
% 4.93/4.46 ($false),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18331, 145, 18325, 18323])).
% 4.93/4.46 tff(18333,plain,(xuntil6(s115) | (~until5(s114))), inference(lemma,lemma(discharge,[]))).
% 4.93/4.46 tff(18334,plain,
% 4.93/4.46 (xuntil6(s115)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18333, 18261])).
% 4.93/4.46 tff(18335,plain,
% 4.93/4.46 (until5(s116)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7792, 18334])).
% 4.93/4.46 tff(18336,assumption,(~xuntil6(s117)), introduced(assumption)).
% 4.93/4.46 tff(18337,assumption,(~always3(s117)), introduced(assumption)).
% 4.93/4.46 tff(18338,plain,
% 4.93/4.46 (~always3(s116)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[5568, 18337])).
% 4.93/4.46 tff(18339,plain,
% 4.93/4.46 (~node4(s116)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7796, 113, 18338])).
% 4.93/4.46 tff(18340,plain,
% 4.93/4.46 (~node4(s117)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7813, 113, 18337])).
% 4.93/4.46 tff(18341,plain,
% 4.93/4.46 (node4(s117) | (~until5(s117))),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7820, 225, 18336])).
% 4.93/4.46 tff(18342,plain,
% 4.93/4.46 (~until5(s117)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18341, 18340])).
% 4.93/4.46 tff(18343,plain,
% 4.93/4.46 (~xuntil6(s116)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7809, 18342])).
% 4.93/4.46 tff(18344,plain,
% 4.93/4.46 (~until5(s116)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7803, 225, 18343, 18339])).
% 4.93/4.46 tff(18345,plain,
% 4.93/4.46 (~xuntil6(s115)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7792, 18344])).
% 4.93/4.46 tff(18346,plain,
% 4.93/4.46 (~always3(s115)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[5580, 18338])).
% 4.93/4.46 tff(18347,plain,
% 4.93/4.46 (~node4(s115)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7779, 113, 18346])).
% 4.93/4.46 tff(18348,plain,
% 4.93/4.46 (xuntil6(s115) | (~until5(s115))),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7786, 225, 18347])).
% 4.93/4.46 tff(18349,plain,
% 4.93/4.46 (~until5(s115)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18348, 18345])).
% 4.93/4.46 tff(18350,plain,
% 4.93/4.46 (~xuntil6(s114)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7775, 18349])).
% 4.93/4.46 tff(18351,plain,
% 4.93/4.46 (~always3(s114)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[5592, 18346])).
% 4.93/4.46 tff(18352,plain,
% 4.93/4.46 (~always3(s113)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[5604, 18351])).
% 4.93/4.46 tff(18353,plain,
% 4.93/4.46 (~always3(s112)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[5616, 18352])).
% 4.93/4.46 tff(18354,plain,
% 4.93/4.46 (~node4(s112)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7728, 113, 18353])).
% 4.93/4.46 tff(18355,plain,
% 4.93/4.46 (~always3(s111)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[5628, 18353])).
% 4.93/4.46 tff(18356,plain,
% 4.93/4.46 (~node4(s111)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7711, 113, 18355])).
% 4.93/4.46 tff(18357,plain,
% 4.93/4.46 (xuntil6(s111)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18164, 18356])).
% 4.93/4.46 tff(18358,plain,
% 4.93/4.46 (until5(s112)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7724, 18357])).
% 4.93/4.46 tff(18359,plain,
% 4.93/4.46 (xuntil6(s112)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7735, 225, 18358, 18354])).
% 4.93/4.46 tff(18360,plain,
% 4.93/4.46 (until5(s113)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7741, 18359])).
% 4.93/4.46 tff(18361,plain,
% 4.93/4.46 (~node4(s113)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7745, 113, 18352])).
% 4.93/4.46 tff(18362,plain,
% 4.93/4.46 (xuntil6(s113) | (~until5(s113))),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7752, 225, 18361])).
% 4.93/4.46 tff(18363,plain,
% 4.93/4.46 (xuntil6(s113)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18362, 18360])).
% 4.93/4.46 tff(18364,plain,
% 4.93/4.46 (until5(s114)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7758, 18363])).
% 4.93/4.46 tff(18365,plain,
% 4.93/4.46 (~node4(s114)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7762, 113, 18351])).
% 4.93/4.46 tff(18366,plain,
% 4.93/4.46 (xuntil6(s114) | (~until5(s114))),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7769, 225, 18365])).
% 4.93/4.46 tff(18367,plain,
% 4.93/4.46 ($false),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18366, 18364, 18350])).
% 4.93/4.46 tff(18368,plain,(always3(s117) | (~until5(s111)) | xuntil6(s117)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.46 tff(18369,plain,
% 4.93/4.46 (always3(s117)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18368, 18336, 18146])).
% 4.93/4.46 tff(18370,plain,
% 4.93/4.46 (((~![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)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18371,plain,
% 4.93/4.46 (((~m_main_v_state(s117, c_busy)) | (~always3(s117))) <=> ((~always3(s117)) | (~m_main_v_state(s117, c_busy)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18372,plain,
% 4.93/4.46 (((~![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))))),
% 4.93/4.46 inference(monotonicity,[status(thm)],[18371])).
% 4.93/4.46 tff(18373,plain,
% 4.93/4.46 (((~![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)))),
% 4.93/4.46 inference(transitivity,[status(thm)],[18372, 18370])).
% 4.93/4.46 tff(18374,plain,
% 4.93/4.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s117, c_busy)) | (~always3(s117)))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18375,plain,
% 4.93/4.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s117)) | (~m_main_v_state(s117, c_busy))),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18374, 18373])).
% 4.93/4.46 tff(18376,plain,
% 4.93/4.46 (~m_main_v_state(s117, c_busy)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18375, 145, 18369])).
% 4.93/4.46 tff(18377,plain,
% 4.93/4.46 (always3(s118)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[5556, 18369])).
% 4.93/4.46 tff(18378,plain,
% 4.93/4.46 (((~![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)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18379,plain,
% 4.93/4.46 (((~m_main_v_state(s118, c_busy)) | (~always3(s118))) <=> ((~always3(s118)) | (~m_main_v_state(s118, c_busy)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18380,plain,
% 4.93/4.46 (((~![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))))),
% 4.93/4.46 inference(monotonicity,[status(thm)],[18379])).
% 4.93/4.46 tff(18381,plain,
% 4.93/4.46 (((~![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)))),
% 4.93/4.46 inference(transitivity,[status(thm)],[18380, 18378])).
% 4.93/4.46 tff(18382,plain,
% 4.93/4.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s118, c_busy)) | (~always3(s118)))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18383,plain,
% 4.93/4.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s118)) | (~m_main_v_state(s118, c_busy))),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18382, 18381])).
% 4.93/4.46 tff(18384,plain,
% 4.93/4.46 (~m_main_v_state(s118, c_busy)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18383, 145, 18377])).
% 4.93/4.46 tff(18385,plain,
% 4.93/4.46 (((~![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))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18386,plain,
% 4.93/4.46 ((~![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))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18387,plain,
% 4.93/4.46 ((~![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)),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18386, 18385])).
% 4.93/4.46 tff(18388,plain,
% 4.93/4.46 (m_main_v_state(s117, c_ready)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18387, 188, 18376])).
% 4.93/4.46 tff(18389,plain,
% 4.93/4.46 (((~![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))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18390,plain,
% 4.93/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s117, s118)) | node2(s117, s118))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18391,plain,
% 4.93/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s117, s118)) | node2(s117, s118)),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18390, 18389])).
% 4.93/4.46 tff(18392,plain,
% 4.93/4.46 (node2(s117, s118)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18391, 7, 5552])).
% 4.93/4.46 tff(18393,plain,
% 4.93/4.46 (((~![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(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)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18394,plain,
% 4.93/4.46 ((~![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(s117, c_ready)) | (~node2(s117, s118)) | m_main_v_state(s118, c_busy) | (~m_main_v_request(s117)))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18395,plain,
% 4.93/4.46 ((~![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(s117, c_ready)) | (~node2(s117, s118)) | m_main_v_state(s118, c_busy) | (~m_main_v_request(s117))),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18394, 18393])).
% 4.93/4.46 tff(18396,plain,
% 4.93/4.46 ((~m_main_v_state(s117, c_ready)) | m_main_v_state(s118, c_busy) | (~m_main_v_request(s117))),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18395, 166, 18392])).
% 4.93/4.46 tff(18397,plain,
% 4.93/4.46 (~m_main_v_request(s117)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18396, 18388, 18384])).
% 4.93/4.46 tff(18398,plain,
% 4.93/4.46 (((~![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)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18399,plain,
% 4.93/4.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s117) | (~node4(s117)))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18400,plain,
% 4.93/4.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s117) | (~node4(s117))),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18399, 18398])).
% 4.93/4.46 tff(18401,plain,
% 4.93/4.46 (~node4(s117)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18400, 63, 18397])).
% 4.93/4.46 tff(18402,plain,
% 4.93/4.46 (~until5(s117)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18341, 18401])).
% 4.93/4.46 tff(18403,plain,
% 4.93/4.46 (~xuntil6(s116)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7809, 18402])).
% 4.93/4.46 tff(18404,assumption,(until5(s116)), introduced(assumption)).
% 4.93/4.46 tff(18405,plain,
% 4.93/4.46 (xuntil6(s116) | node4(s116)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7803, 225, 18404])).
% 4.93/4.46 tff(18406,plain,
% 4.93/4.46 (node4(s116)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18405, 18403])).
% 4.93/4.46 tff(18407,plain,
% 4.93/4.46 (((~![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)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18408,plain,
% 4.93/4.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s116) | (~node4(s116)))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18409,plain,
% 4.93/4.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s116) | (~node4(s116))),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18408, 18407])).
% 4.93/4.46 tff(18410,plain,
% 4.93/4.46 (m_main_v_request(s116)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18409, 63, 18406])).
% 4.93/4.46 tff(18411,plain,
% 4.93/4.46 (((~![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))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18412,plain,
% 4.93/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s116, s117)) | node2(s116, s117))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18413,plain,
% 4.93/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s116, s117)) | node2(s116, s117)),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18412, 18411])).
% 4.93/4.46 tff(18414,plain,
% 4.93/4.46 (node2(s116, s117)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18413, 7, 5564])).
% 4.93/4.46 tff(18415,plain,
% 4.93/4.46 (((~![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(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)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18416,plain,
% 4.93/4.46 ((~![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(s116, c_ready)) | (~node2(s116, s117)) | m_main_v_state(s117, c_busy) | (~m_main_v_request(s116)))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18417,plain,
% 4.93/4.46 ((~![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(s116, c_ready)) | (~node2(s116, s117)) | m_main_v_state(s117, c_busy) | (~m_main_v_request(s116))),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18416, 18415])).
% 4.93/4.46 tff(18418,plain,
% 4.93/4.46 ((~m_main_v_state(s116, c_ready)) | m_main_v_state(s117, c_busy) | (~m_main_v_request(s116))),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18417, 166, 18414])).
% 4.93/4.46 tff(18419,plain,
% 4.93/4.46 (~m_main_v_state(s116, c_ready)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18418, 18410, 18376])).
% 4.93/4.46 tff(18420,assumption,(~always3(s116)), introduced(assumption)).
% 4.93/4.46 tff(18421,plain,
% 4.93/4.46 (~always3(s115)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[5580, 18420])).
% 4.93/4.46 tff(18422,plain,
% 4.93/4.46 (~always3(s114)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[5592, 18421])).
% 4.93/4.46 tff(18423,plain,
% 4.93/4.46 (~always3(s113)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[5604, 18422])).
% 4.93/4.46 tff(18424,plain,
% 4.93/4.46 (~always3(s112)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[5616, 18423])).
% 4.93/4.46 tff(18425,plain,
% 4.93/4.46 (~node4(s112)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7728, 113, 18424])).
% 4.93/4.46 tff(18426,plain,
% 4.93/4.46 (~always3(s111)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[5628, 18424])).
% 4.93/4.46 tff(18427,plain,
% 4.93/4.46 (~node4(s111)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7711, 113, 18426])).
% 4.93/4.46 tff(18428,plain,
% 4.93/4.46 (xuntil6(s111)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18164, 18427])).
% 4.93/4.46 tff(18429,plain,
% 4.93/4.46 (until5(s112)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7724, 18428])).
% 4.93/4.46 tff(18430,plain,
% 4.93/4.46 (xuntil6(s112)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7735, 225, 18429, 18425])).
% 4.93/4.46 tff(18431,plain,
% 4.93/4.46 (until5(s113)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7741, 18430])).
% 4.93/4.46 tff(18432,plain,
% 4.93/4.46 (~node4(s113)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7745, 113, 18423])).
% 4.93/4.46 tff(18433,plain,
% 4.93/4.46 (xuntil6(s113) | (~until5(s113))),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7752, 225, 18432])).
% 4.93/4.46 tff(18434,plain,
% 4.93/4.46 (xuntil6(s113)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18433, 18431])).
% 4.93/4.46 tff(18435,plain,
% 4.93/4.46 (until5(s114)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7758, 18434])).
% 4.93/4.46 tff(18436,plain,
% 4.93/4.46 (~node4(s114)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7762, 113, 18422])).
% 4.93/4.46 tff(18437,plain,
% 4.93/4.46 (xuntil6(s114) | (~until5(s114))),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7769, 225, 18436])).
% 4.93/4.46 tff(18438,plain,
% 4.93/4.46 (xuntil6(s114)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18437, 18435])).
% 4.93/4.46 tff(18439,plain,
% 4.93/4.46 (until5(s115)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7775, 18438])).
% 4.93/4.46 tff(18440,plain,
% 4.93/4.46 (~node4(s115)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7779, 113, 18421])).
% 4.93/4.46 tff(18441,plain,
% 4.93/4.46 (xuntil6(s115) | (~until5(s115))),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7786, 225, 18440])).
% 4.93/4.46 tff(18442,plain,
% 4.93/4.46 (xuntil6(s115)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18441, 18439])).
% 4.93/4.46 tff(18443,plain,
% 4.93/4.46 (until5(s116)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7792, 18442])).
% 4.93/4.46 tff(18444,assumption,(~xuntil6(s116)), introduced(assumption)).
% 4.93/4.46 tff(18445,plain,
% 4.93/4.46 (node4(s116) | (~until5(s116))),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7803, 225, 18444])).
% 4.93/4.46 tff(18446,plain,
% 4.93/4.46 (node4(s116)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18445, 18443])).
% 4.93/4.46 tff(18447,plain,
% 4.93/4.46 ($false),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7796, 113, 18420, 18446])).
% 4.93/4.46 tff(18448,plain,(always3(s116) | xuntil6(s116) | (~until5(s111))), inference(lemma,lemma(discharge,[]))).
% 4.93/4.46 tff(18449,plain,
% 4.93/4.46 (always3(s116)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18448, 18403, 18146])).
% 4.93/4.46 tff(18450,plain,
% 4.93/4.46 (~m_main_v_state(s116, c_busy)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18331, 145, 18449])).
% 4.93/4.46 tff(18451,plain,
% 4.93/4.46 (((~![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))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18452,plain,
% 4.93/4.46 ((~![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))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18453,plain,
% 4.93/4.46 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s116, c_busy) | m_main_v_state(s116, c_ready)),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18452, 18451])).
% 4.93/4.46 tff(18454,plain,
% 4.93/4.46 ($false),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18453, 188, 18450, 18419])).
% 4.93/4.46 tff(18455,plain,(xuntil6(s117) | (~until5(s116)) | (~until5(s111))), inference(lemma,lemma(discharge,[]))).
% 4.93/4.46 tff(18456,plain,
% 4.93/4.46 (xuntil6(s117)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[18455, 18335, 18146])).
% 4.93/4.46 tff(18457,plain,
% 4.93/4.46 (until5(s118)),
% 4.93/4.46 inference(unit_resolution,[status(thm)],[7826, 18456])).
% 4.93/4.46 tff(18458,plain,
% 4.93/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s117) | (~trans(s199, s117)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s117) | (~trans(s199, s117)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18459,plain,
% 4.93/4.46 (((~trans(s199, s117)) | (~always3(s199)) | always3(s117)) <=> ((~always3(s199)) | always3(s117) | (~trans(s199, s117)))),
% 4.93/4.46 inference(rewrite,[status(thm)],[])).
% 4.93/4.46 tff(18460,plain,
% 4.93/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s117)) | (~always3(s199)) | always3(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s117) | (~trans(s199, s117))))),
% 4.93/4.46 inference(monotonicity,[status(thm)],[18459])).
% 4.93/4.46 tff(18461,plain,
% 4.93/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s117)) | (~always3(s199)) | always3(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s117) | (~trans(s199, s117)))),
% 4.93/4.46 inference(transitivity,[status(thm)],[18460, 18458])).
% 4.93/4.46 tff(18462,plain,
% 4.93/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s117)) | (~always3(s199)) | always3(s117))),
% 4.93/4.46 inference(quant_inst,[status(thm)],[])).
% 4.93/4.46 tff(18463,plain,
% 4.93/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s117) | (~trans(s199, s117))),
% 4.93/4.46 inference(modus_ponens,[status(thm)],[18462, 18461])).
% 4.93/4.47 tff(18464,plain,
% 4.93/4.47 ($false),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18463, 13256, 38, 15335, 18337])).
% 4.93/4.47 tff(18465,plain,((~trans(s199, s117)) | (~always3(s199)) | always3(s117)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.47 tff(18466,plain,
% 4.93/4.47 ((~trans(s199, s117)) | always3(s117)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18465, 15333])).
% 4.93/4.47 tff(18467,plain,
% 4.93/4.47 (always3(s117)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18466, 13256])).
% 4.93/4.47 tff(18468,plain,
% 4.93/4.47 (always3(s118)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5556, 18467])).
% 4.93/4.47 tff(18469,plain,
% 4.93/4.47 (~m_main_v_state(s118, c_busy)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18383, 145, 18468])).
% 4.93/4.47 tff(18470,plain,
% 4.93/4.47 (~m_main_v_state(s117, c_busy)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18375, 145, 18467])).
% 4.93/4.47 tff(18471,plain,
% 4.93/4.47 (m_main_v_state(s117, c_ready)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18387, 188, 18470])).
% 4.93/4.47 tff(18472,plain,
% 4.93/4.47 (~m_main_v_request(s117)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18396, 18471, 18469])).
% 4.93/4.47 tff(18473,plain,
% 4.93/4.47 (~node4(s117)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18400, 63, 18472])).
% 4.93/4.47 tff(18474,assumption,(~node4(s199)), introduced(assumption)).
% 4.93/4.47 tff(18475,plain,
% 4.93/4.47 (always3(s119)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5544, 18468])).
% 4.93/4.47 tff(18476,plain,
% 4.93/4.47 (((~![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)))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18477,plain,
% 4.93/4.47 (((~m_main_v_state(s119, c_busy)) | (~always3(s119))) <=> ((~always3(s119)) | (~m_main_v_state(s119, c_busy)))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18478,plain,
% 4.93/4.47 (((~![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))))),
% 4.93/4.47 inference(monotonicity,[status(thm)],[18477])).
% 4.93/4.47 tff(18479,plain,
% 4.93/4.47 (((~![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)))),
% 4.93/4.47 inference(transitivity,[status(thm)],[18478, 18476])).
% 4.93/4.47 tff(18480,plain,
% 4.93/4.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s119, c_busy)) | (~always3(s119)))),
% 4.93/4.47 inference(quant_inst,[status(thm)],[])).
% 4.93/4.47 tff(18481,plain,
% 4.93/4.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s119)) | (~m_main_v_state(s119, c_busy))),
% 4.93/4.47 inference(modus_ponens,[status(thm)],[18480, 18479])).
% 4.93/4.47 tff(18482,plain,
% 4.93/4.47 (~m_main_v_state(s119, c_busy)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18481, 145, 18475])).
% 4.93/4.47 tff(18483,assumption,(~m_main_v_state(s119, c_busy)), introduced(assumption)).
% 4.93/4.47 tff(18484,assumption,(node4(s118)), introduced(assumption)).
% 4.93/4.47 tff(18485,plain,
% 4.93/4.47 (((~![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)))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18486,plain,
% 4.93/4.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s118) | (~node4(s118)))),
% 4.93/4.47 inference(quant_inst,[status(thm)],[])).
% 4.93/4.47 tff(18487,plain,
% 4.93/4.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s118) | (~node4(s118))),
% 4.93/4.47 inference(modus_ponens,[status(thm)],[18486, 18485])).
% 4.93/4.47 tff(18488,plain,
% 4.93/4.47 (m_main_v_request(s118)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18487, 63, 18484])).
% 4.93/4.47 tff(18489,plain,
% 4.93/4.47 (((~![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))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18490,plain,
% 4.93/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s118, s119)) | node2(s118, s119))),
% 4.93/4.47 inference(quant_inst,[status(thm)],[])).
% 4.93/4.47 tff(18491,plain,
% 4.93/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s118, s119)) | node2(s118, s119)),
% 4.93/4.47 inference(modus_ponens,[status(thm)],[18490, 18489])).
% 4.93/4.47 tff(18492,plain,
% 4.93/4.47 (node2(s118, s119)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18491, 7, 5540])).
% 4.93/4.47 tff(18493,plain,
% 4.93/4.47 (((~![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(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)))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18494,plain,
% 4.93/4.47 ((~![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(s118, c_ready)) | (~node2(s118, s119)) | m_main_v_state(s119, c_busy) | (~m_main_v_request(s118)))),
% 4.93/4.47 inference(quant_inst,[status(thm)],[])).
% 4.93/4.47 tff(18495,plain,
% 4.93/4.47 ((~![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(s118, c_ready)) | (~node2(s118, s119)) | m_main_v_state(s119, c_busy) | (~m_main_v_request(s118))),
% 4.93/4.47 inference(modus_ponens,[status(thm)],[18494, 18493])).
% 4.93/4.47 tff(18496,plain,
% 4.93/4.47 ((~m_main_v_state(s118, c_ready)) | m_main_v_state(s119, c_busy) | (~m_main_v_request(s118))),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18495, 166, 18492])).
% 4.93/4.47 tff(18497,plain,
% 4.93/4.47 (~m_main_v_state(s118, c_ready)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18496, 18488, 18483])).
% 4.93/4.47 tff(18498,plain,
% 4.93/4.47 (always3(s118)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7830, 113, 18484])).
% 4.93/4.47 tff(18499,plain,
% 4.93/4.47 (~m_main_v_state(s118, c_busy)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18383, 145, 18498])).
% 4.93/4.47 tff(18500,plain,
% 4.93/4.47 (((~![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))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18501,plain,
% 4.93/4.47 ((~![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))),
% 4.93/4.47 inference(quant_inst,[status(thm)],[])).
% 4.93/4.47 tff(18502,plain,
% 4.93/4.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s118, c_busy) | m_main_v_state(s118, c_ready)),
% 4.93/4.47 inference(modus_ponens,[status(thm)],[18501, 18500])).
% 4.93/4.47 tff(18503,plain,
% 4.93/4.47 ($false),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18502, 188, 18499, 18497])).
% 4.93/4.47 tff(18504,plain,((~node4(s118)) | m_main_v_state(s119, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.47 tff(18505,plain,
% 4.93/4.47 (~node4(s118)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18504, 18482])).
% 4.93/4.47 tff(18506,assumption,(until5(s118)), introduced(assumption)).
% 4.93/4.47 tff(18507,plain,
% 4.93/4.47 (xuntil6(s118) | node4(s118)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7837, 225, 18506])).
% 4.93/4.47 tff(18508,plain,
% 4.93/4.47 (xuntil6(s118)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18507, 18505])).
% 4.93/4.47 tff(18509,plain,
% 4.93/4.47 (until5(s119)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7843, 18508])).
% 4.93/4.47 tff(18510,assumption,(~xuntil6(s119)), introduced(assumption)).
% 4.93/4.47 tff(18511,assumption,(~always3(s119)), introduced(assumption)).
% 4.93/4.47 tff(18512,plain,
% 4.93/4.47 (~always3(s118)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5544, 18511])).
% 4.93/4.47 tff(18513,plain,
% 4.93/4.47 (~node4(s118)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7830, 113, 18512])).
% 4.93/4.47 tff(18514,plain,
% 4.93/4.47 (~node4(s119)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7847, 113, 18511])).
% 4.93/4.47 tff(18515,plain,
% 4.93/4.47 (node4(s119) | (~until5(s119))),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7854, 225, 18510])).
% 4.93/4.47 tff(18516,plain,
% 4.93/4.47 (~until5(s119)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18515, 18514])).
% 4.93/4.47 tff(18517,plain,
% 4.93/4.47 (~xuntil6(s118)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7843, 18516])).
% 4.93/4.47 tff(18518,plain,
% 4.93/4.47 (~until5(s118)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7837, 225, 18517, 18513])).
% 4.93/4.47 tff(18519,plain,
% 4.93/4.47 (~xuntil6(s117)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7826, 18518])).
% 4.93/4.47 tff(18520,plain,
% 4.93/4.47 (~always3(s117)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5556, 18512])).
% 4.93/4.47 tff(18521,plain,
% 4.93/4.47 (~node4(s117)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7813, 113, 18520])).
% 4.93/4.47 tff(18522,plain,
% 4.93/4.47 (xuntil6(s117) | (~until5(s117))),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7820, 225, 18521])).
% 4.93/4.47 tff(18523,plain,
% 4.93/4.47 (~until5(s117)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18522, 18519])).
% 4.93/4.47 tff(18524,plain,
% 4.93/4.47 (~xuntil6(s116)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7809, 18523])).
% 4.93/4.47 tff(18525,plain,
% 4.93/4.47 (~always3(s116)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5568, 18520])).
% 4.93/4.47 tff(18526,plain,
% 4.93/4.47 (~node4(s116)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7796, 113, 18525])).
% 4.93/4.47 tff(18527,plain,
% 4.93/4.47 (xuntil6(s116) | (~until5(s116))),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7803, 225, 18526])).
% 4.93/4.47 tff(18528,plain,
% 4.93/4.47 (~until5(s116)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18527, 18524])).
% 4.93/4.47 tff(18529,plain,
% 4.93/4.47 (~xuntil6(s115)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7792, 18528])).
% 4.93/4.47 tff(18530,plain,
% 4.93/4.47 (~always3(s115)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5580, 18525])).
% 4.93/4.47 tff(18531,plain,
% 4.93/4.47 (~always3(s114)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5592, 18530])).
% 4.93/4.47 tff(18532,plain,
% 4.93/4.47 (~always3(s113)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5604, 18531])).
% 4.93/4.47 tff(18533,plain,
% 4.93/4.47 (~always3(s112)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5616, 18532])).
% 4.93/4.47 tff(18534,plain,
% 4.93/4.47 (~node4(s112)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7728, 113, 18533])).
% 4.93/4.47 tff(18535,plain,
% 4.93/4.47 (~always3(s111)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5628, 18533])).
% 4.93/4.47 tff(18536,plain,
% 4.93/4.47 (~node4(s111)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7711, 113, 18535])).
% 4.93/4.47 tff(18537,plain,
% 4.93/4.47 (xuntil6(s111)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18164, 18536])).
% 4.93/4.47 tff(18538,plain,
% 4.93/4.47 (until5(s112)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7724, 18537])).
% 4.93/4.47 tff(18539,plain,
% 4.93/4.47 (xuntil6(s112)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7735, 225, 18538, 18534])).
% 4.93/4.47 tff(18540,plain,
% 4.93/4.47 (until5(s113)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7741, 18539])).
% 4.93/4.47 tff(18541,plain,
% 4.93/4.47 (~node4(s113)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7745, 113, 18532])).
% 4.93/4.47 tff(18542,plain,
% 4.93/4.47 (xuntil6(s113) | (~until5(s113))),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7752, 225, 18541])).
% 4.93/4.47 tff(18543,plain,
% 4.93/4.47 (xuntil6(s113)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18542, 18540])).
% 4.93/4.47 tff(18544,plain,
% 4.93/4.47 (until5(s114)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7758, 18543])).
% 4.93/4.47 tff(18545,plain,
% 4.93/4.47 (~node4(s114)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7762, 113, 18531])).
% 4.93/4.47 tff(18546,plain,
% 4.93/4.47 (xuntil6(s114) | (~until5(s114))),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7769, 225, 18545])).
% 4.93/4.47 tff(18547,plain,
% 4.93/4.47 (xuntil6(s114)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18546, 18544])).
% 4.93/4.47 tff(18548,plain,
% 4.93/4.47 (until5(s115)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7775, 18547])).
% 4.93/4.47 tff(18549,plain,
% 4.93/4.47 (~node4(s115)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7779, 113, 18530])).
% 4.93/4.47 tff(18550,plain,
% 4.93/4.47 (xuntil6(s115) | (~until5(s115))),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7786, 225, 18549])).
% 4.93/4.47 tff(18551,plain,
% 4.93/4.47 ($false),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18550, 18548, 18529])).
% 4.93/4.47 tff(18552,plain,(always3(s119) | (~until5(s111)) | xuntil6(s119)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.47 tff(18553,plain,
% 4.93/4.47 (always3(s119)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18552, 18510, 18146])).
% 4.93/4.47 tff(18554,plain,
% 4.93/4.47 (always3(s120)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5532, 18553])).
% 4.93/4.47 tff(18555,plain,
% 4.93/4.47 (((~![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)))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18556,plain,
% 4.93/4.47 (((~m_main_v_state(s120, c_busy)) | (~always3(s120))) <=> ((~always3(s120)) | (~m_main_v_state(s120, c_busy)))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18557,plain,
% 4.93/4.47 (((~![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))))),
% 4.93/4.47 inference(monotonicity,[status(thm)],[18556])).
% 4.93/4.47 tff(18558,plain,
% 4.93/4.47 (((~![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)))),
% 4.93/4.47 inference(transitivity,[status(thm)],[18557, 18555])).
% 4.93/4.47 tff(18559,plain,
% 4.93/4.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s120, c_busy)) | (~always3(s120)))),
% 4.93/4.47 inference(quant_inst,[status(thm)],[])).
% 4.93/4.47 tff(18560,plain,
% 4.93/4.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s120)) | (~m_main_v_state(s120, c_busy))),
% 4.93/4.47 inference(modus_ponens,[status(thm)],[18559, 18558])).
% 4.93/4.47 tff(18561,plain,
% 4.93/4.47 (~m_main_v_state(s120, c_busy)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18560, 145, 18554])).
% 4.93/4.47 tff(18562,assumption,(until5(s119)), introduced(assumption)).
% 4.93/4.47 tff(18563,plain,
% 4.93/4.47 (xuntil6(s119) | node4(s119)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7854, 225, 18562])).
% 4.93/4.47 tff(18564,plain,
% 4.93/4.47 (node4(s119)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18563, 18510])).
% 4.93/4.47 tff(18565,plain,
% 4.93/4.47 (((~![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)))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18566,plain,
% 4.93/4.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s119) | (~node4(s119)))),
% 4.93/4.47 inference(quant_inst,[status(thm)],[])).
% 4.93/4.47 tff(18567,plain,
% 4.93/4.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s119) | (~node4(s119))),
% 4.93/4.47 inference(modus_ponens,[status(thm)],[18566, 18565])).
% 4.93/4.47 tff(18568,plain,
% 4.93/4.47 (m_main_v_request(s119)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18567, 63, 18564])).
% 4.93/4.47 tff(18569,plain,
% 4.93/4.47 (((~![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))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18570,plain,
% 4.93/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s119, s120)) | node2(s119, s120))),
% 4.93/4.47 inference(quant_inst,[status(thm)],[])).
% 4.93/4.47 tff(18571,plain,
% 4.93/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s119, s120)) | node2(s119, s120)),
% 4.93/4.47 inference(modus_ponens,[status(thm)],[18570, 18569])).
% 4.93/4.47 tff(18572,plain,
% 4.93/4.47 (node2(s119, s120)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18571, 7, 5528])).
% 4.93/4.47 tff(18573,plain,
% 4.93/4.47 (((~![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(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)))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18574,plain,
% 4.93/4.47 ((~![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(s119, c_ready)) | (~node2(s119, s120)) | m_main_v_state(s120, c_busy) | (~m_main_v_request(s119)))),
% 4.93/4.47 inference(quant_inst,[status(thm)],[])).
% 4.93/4.47 tff(18575,plain,
% 4.93/4.47 ((~![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(s119, c_ready)) | (~node2(s119, s120)) | m_main_v_state(s120, c_busy) | (~m_main_v_request(s119))),
% 4.93/4.47 inference(modus_ponens,[status(thm)],[18574, 18573])).
% 4.93/4.47 tff(18576,plain,
% 4.93/4.47 ((~m_main_v_state(s119, c_ready)) | m_main_v_state(s120, c_busy) | (~m_main_v_request(s119))),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18575, 166, 18572])).
% 4.93/4.47 tff(18577,plain,
% 4.93/4.47 (~m_main_v_state(s119, c_ready)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18576, 18568, 18561])).
% 4.93/4.47 tff(18578,plain,
% 4.93/4.47 (~m_main_v_state(s119, c_busy)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18481, 145, 18553])).
% 4.93/4.47 tff(18579,plain,
% 4.93/4.47 (((~![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))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18580,plain,
% 4.93/4.47 ((~![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))),
% 4.93/4.47 inference(quant_inst,[status(thm)],[])).
% 4.93/4.47 tff(18581,plain,
% 4.93/4.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s119, c_busy) | m_main_v_state(s119, c_ready)),
% 4.93/4.47 inference(modus_ponens,[status(thm)],[18580, 18579])).
% 4.93/4.47 tff(18582,plain,
% 4.93/4.47 ($false),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18581, 188, 18578, 18577])).
% 4.93/4.47 tff(18583,plain,(xuntil6(s119) | (~until5(s119)) | (~until5(s111))), inference(lemma,lemma(discharge,[]))).
% 4.93/4.47 tff(18584,plain,
% 4.93/4.47 (xuntil6(s119)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18583, 18509, 18146])).
% 4.93/4.47 tff(18585,plain,
% 4.93/4.47 (until5(s120)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7860, 18584])).
% 4.93/4.47 tff(18586,assumption,(~xuntil6(s122)), introduced(assumption)).
% 4.93/4.47 tff(18587,assumption,(~always3(s122)), introduced(assumption)).
% 4.93/4.47 tff(18588,plain,
% 4.93/4.47 (~always3(s121)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5508, 18587])).
% 4.93/4.47 tff(18589,plain,
% 4.93/4.47 (~node4(s121)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7881, 113, 18588])).
% 4.93/4.47 tff(18590,plain,
% 4.93/4.47 (~node4(s122)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7898, 113, 18587])).
% 4.93/4.47 tff(18591,plain,
% 4.93/4.47 (node4(s122) | (~until5(s122))),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7905, 225, 18586])).
% 4.93/4.47 tff(18592,plain,
% 4.93/4.47 (~until5(s122)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18591, 18590])).
% 4.93/4.47 tff(18593,plain,
% 4.93/4.47 (~xuntil6(s121)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7894, 18592])).
% 4.93/4.47 tff(18594,plain,
% 4.93/4.47 (~until5(s121)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7888, 225, 18593, 18589])).
% 4.93/4.47 tff(18595,plain,
% 4.93/4.47 (~xuntil6(s120)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7877, 18594])).
% 4.93/4.47 tff(18596,plain,
% 4.93/4.47 (~always3(s120)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5520, 18588])).
% 4.93/4.47 tff(18597,plain,
% 4.93/4.47 (~node4(s120)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7864, 113, 18596])).
% 4.93/4.47 tff(18598,plain,
% 4.93/4.47 (xuntil6(s120) | (~until5(s120))),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7871, 225, 18597])).
% 4.93/4.47 tff(18599,plain,
% 4.93/4.47 (~until5(s120)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18598, 18595])).
% 4.93/4.47 tff(18600,plain,
% 4.93/4.47 (~xuntil6(s119)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7860, 18599])).
% 4.93/4.47 tff(18601,plain,
% 4.93/4.47 (~always3(s119)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5532, 18596])).
% 4.93/4.47 tff(18602,plain,
% 4.93/4.47 (~node4(s119)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7847, 113, 18601])).
% 4.93/4.47 tff(18603,plain,
% 4.93/4.47 (xuntil6(s119) | (~until5(s119))),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7854, 225, 18602])).
% 4.93/4.47 tff(18604,plain,
% 4.93/4.47 (~until5(s119)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18603, 18600])).
% 4.93/4.47 tff(18605,plain,
% 4.93/4.47 (~xuntil6(s118)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7843, 18604])).
% 4.93/4.47 tff(18606,plain,
% 4.93/4.47 (~always3(s118)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5544, 18601])).
% 4.93/4.47 tff(18607,plain,
% 4.93/4.47 (~node4(s118)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7830, 113, 18606])).
% 4.93/4.47 tff(18608,plain,
% 4.93/4.47 (xuntil6(s118) | (~until5(s118))),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7837, 225, 18607])).
% 4.93/4.47 tff(18609,plain,
% 4.93/4.47 (~until5(s118)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18608, 18605])).
% 4.93/4.47 tff(18610,plain,
% 4.93/4.47 (~xuntil6(s117)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7826, 18609])).
% 4.93/4.47 tff(18611,plain,
% 4.93/4.47 (~always3(s117)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5556, 18606])).
% 4.93/4.47 tff(18612,plain,
% 4.93/4.47 (~node4(s117)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7813, 113, 18611])).
% 4.93/4.47 tff(18613,plain,
% 4.93/4.47 (xuntil6(s117) | (~until5(s117))),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7820, 225, 18612])).
% 4.93/4.47 tff(18614,plain,
% 4.93/4.47 (~until5(s117)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18613, 18610])).
% 4.93/4.47 tff(18615,plain,
% 4.93/4.47 (~always3(s116)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5568, 18611])).
% 4.93/4.47 tff(18616,plain,
% 4.93/4.47 (~always3(s115)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5580, 18615])).
% 4.93/4.47 tff(18617,plain,
% 4.93/4.47 (~always3(s114)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5592, 18616])).
% 4.93/4.47 tff(18618,plain,
% 4.93/4.47 (~always3(s113)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5604, 18617])).
% 4.93/4.47 tff(18619,plain,
% 4.93/4.47 (~always3(s112)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5616, 18618])).
% 4.93/4.47 tff(18620,plain,
% 4.93/4.47 (~node4(s112)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7728, 113, 18619])).
% 4.93/4.47 tff(18621,plain,
% 4.93/4.47 (~always3(s111)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5628, 18619])).
% 4.93/4.47 tff(18622,plain,
% 4.93/4.47 (~node4(s111)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7711, 113, 18621])).
% 4.93/4.47 tff(18623,plain,
% 4.93/4.47 (xuntil6(s111)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18164, 18622])).
% 4.93/4.47 tff(18624,plain,
% 4.93/4.47 (until5(s112)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7724, 18623])).
% 4.93/4.47 tff(18625,plain,
% 4.93/4.47 (xuntil6(s112)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7735, 225, 18624, 18620])).
% 4.93/4.47 tff(18626,plain,
% 4.93/4.47 (until5(s113)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7741, 18625])).
% 4.93/4.47 tff(18627,plain,
% 4.93/4.47 (~node4(s113)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7745, 113, 18618])).
% 4.93/4.47 tff(18628,plain,
% 4.93/4.47 (xuntil6(s113) | (~until5(s113))),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7752, 225, 18627])).
% 4.93/4.47 tff(18629,plain,
% 4.93/4.47 (xuntil6(s113)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18628, 18626])).
% 4.93/4.47 tff(18630,plain,
% 4.93/4.47 (until5(s114)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7758, 18629])).
% 4.93/4.47 tff(18631,plain,
% 4.93/4.47 (~node4(s114)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7762, 113, 18617])).
% 4.93/4.47 tff(18632,plain,
% 4.93/4.47 (xuntil6(s114) | (~until5(s114))),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7769, 225, 18631])).
% 4.93/4.47 tff(18633,plain,
% 4.93/4.47 (xuntil6(s114)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18632, 18630])).
% 4.93/4.47 tff(18634,plain,
% 4.93/4.47 (until5(s115)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7775, 18633])).
% 4.93/4.47 tff(18635,plain,
% 4.93/4.47 (~node4(s115)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7779, 113, 18616])).
% 4.93/4.47 tff(18636,plain,
% 4.93/4.47 (xuntil6(s115) | (~until5(s115))),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7786, 225, 18635])).
% 4.93/4.47 tff(18637,plain,
% 4.93/4.47 (xuntil6(s115)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18636, 18634])).
% 4.93/4.47 tff(18638,plain,
% 4.93/4.47 (until5(s116)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7792, 18637])).
% 4.93/4.47 tff(18639,plain,
% 4.93/4.47 (~node4(s116)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7796, 113, 18615])).
% 4.93/4.47 tff(18640,plain,
% 4.93/4.47 (xuntil6(s116) | (~until5(s116))),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7803, 225, 18639])).
% 4.93/4.47 tff(18641,plain,
% 4.93/4.47 (xuntil6(s116)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18640, 18638])).
% 4.93/4.47 tff(18642,plain,
% 4.93/4.47 ($false),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7809, 18641, 18614])).
% 4.93/4.47 tff(18643,plain,(always3(s122) | (~until5(s111)) | xuntil6(s122)), inference(lemma,lemma(discharge,[]))).
% 4.93/4.47 tff(18644,plain,
% 4.93/4.47 (always3(s122)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18643, 18586, 18146])).
% 4.93/4.47 tff(18645,plain,
% 4.93/4.47 (always3(s123)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5496, 18644])).
% 4.93/4.47 tff(18646,plain,
% 4.93/4.47 (((~![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)))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18647,plain,
% 4.93/4.47 (((~m_main_v_state(s123, c_busy)) | (~always3(s123))) <=> ((~always3(s123)) | (~m_main_v_state(s123, c_busy)))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18648,plain,
% 4.93/4.47 (((~![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))))),
% 4.93/4.47 inference(monotonicity,[status(thm)],[18647])).
% 4.93/4.47 tff(18649,plain,
% 4.93/4.47 (((~![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)))),
% 4.93/4.47 inference(transitivity,[status(thm)],[18648, 18646])).
% 4.93/4.47 tff(18650,plain,
% 4.93/4.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s123, c_busy)) | (~always3(s123)))),
% 4.93/4.47 inference(quant_inst,[status(thm)],[])).
% 4.93/4.47 tff(18651,plain,
% 4.93/4.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s123)) | (~m_main_v_state(s123, c_busy))),
% 4.93/4.47 inference(modus_ponens,[status(thm)],[18650, 18649])).
% 4.93/4.47 tff(18652,plain,
% 4.93/4.47 (~m_main_v_state(s123, c_busy)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18651, 145, 18645])).
% 4.93/4.47 tff(18653,plain,
% 4.93/4.47 (((~![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)))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18654,plain,
% 4.93/4.47 (((~m_main_v_state(s122, c_busy)) | (~always3(s122))) <=> ((~always3(s122)) | (~m_main_v_state(s122, c_busy)))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18655,plain,
% 4.93/4.47 (((~![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))))),
% 4.93/4.47 inference(monotonicity,[status(thm)],[18654])).
% 4.93/4.47 tff(18656,plain,
% 4.93/4.47 (((~![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)))),
% 4.93/4.47 inference(transitivity,[status(thm)],[18655, 18653])).
% 4.93/4.47 tff(18657,plain,
% 4.93/4.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s122, c_busy)) | (~always3(s122)))),
% 4.93/4.47 inference(quant_inst,[status(thm)],[])).
% 4.93/4.47 tff(18658,plain,
% 4.93/4.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s122)) | (~m_main_v_state(s122, c_busy))),
% 4.93/4.47 inference(modus_ponens,[status(thm)],[18657, 18656])).
% 4.93/4.47 tff(18659,plain,
% 4.93/4.47 (~m_main_v_state(s122, c_busy)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18658, 145, 18644])).
% 4.93/4.47 tff(18660,plain,
% 4.93/4.47 (((~![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))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18661,plain,
% 4.93/4.47 ((~![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))),
% 4.93/4.47 inference(quant_inst,[status(thm)],[])).
% 4.93/4.47 tff(18662,plain,
% 4.93/4.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s122, c_busy) | m_main_v_state(s122, c_ready)),
% 4.93/4.47 inference(modus_ponens,[status(thm)],[18661, 18660])).
% 4.93/4.47 tff(18663,plain,
% 4.93/4.47 (m_main_v_state(s122, c_ready)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18662, 188, 18659])).
% 4.93/4.47 tff(18664,assumption,(until5(s120)), introduced(assumption)).
% 4.93/4.47 tff(18665,assumption,(~xuntil6(s121)), introduced(assumption)).
% 4.93/4.47 tff(18666,assumption,(~always3(s121)), introduced(assumption)).
% 4.93/4.47 tff(18667,plain,
% 4.93/4.47 (~always3(s120)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[5520, 18666])).
% 4.93/4.47 tff(18668,plain,
% 4.93/4.47 (~node4(s120)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7864, 113, 18667])).
% 4.93/4.47 tff(18669,plain,
% 4.93/4.47 (xuntil6(s120) | node4(s120)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7871, 225, 18664])).
% 4.93/4.47 tff(18670,plain,
% 4.93/4.47 (xuntil6(s120)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18669, 18668])).
% 4.93/4.47 tff(18671,plain,
% 4.93/4.47 (until5(s121)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7877, 18670])).
% 4.93/4.47 tff(18672,plain,
% 4.93/4.47 (node4(s121) | (~until5(s121))),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7888, 225, 18665])).
% 4.93/4.47 tff(18673,plain,
% 4.93/4.47 (node4(s121)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18672, 18671])).
% 4.93/4.47 tff(18674,plain,
% 4.93/4.47 ($false),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[7881, 113, 18666, 18673])).
% 4.93/4.47 tff(18675,plain,(always3(s121) | xuntil6(s121) | (~until5(s120))), inference(lemma,lemma(discharge,[]))).
% 4.93/4.47 tff(18676,plain,
% 4.93/4.47 (always3(s121)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18675, 18664, 18665])).
% 4.93/4.47 tff(18677,plain,
% 4.93/4.47 (((~![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)))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18678,plain,
% 4.93/4.47 (((~m_main_v_state(s121, c_busy)) | (~always3(s121))) <=> ((~always3(s121)) | (~m_main_v_state(s121, c_busy)))),
% 4.93/4.47 inference(rewrite,[status(thm)],[])).
% 4.93/4.47 tff(18679,plain,
% 4.93/4.47 (((~![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))))),
% 4.93/4.47 inference(monotonicity,[status(thm)],[18678])).
% 4.93/4.47 tff(18680,plain,
% 4.93/4.47 (((~![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)))),
% 4.93/4.47 inference(transitivity,[status(thm)],[18679, 18677])).
% 4.93/4.47 tff(18681,plain,
% 4.93/4.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s121, c_busy)) | (~always3(s121)))),
% 4.93/4.47 inference(quant_inst,[status(thm)],[])).
% 4.93/4.47 tff(18682,plain,
% 4.93/4.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s121)) | (~m_main_v_state(s121, c_busy))),
% 4.93/4.47 inference(modus_ponens,[status(thm)],[18681, 18680])).
% 4.93/4.47 tff(18683,plain,
% 4.93/4.47 (~m_main_v_state(s121, c_busy)),
% 4.93/4.47 inference(unit_resolution,[status(thm)],[18682, 145, 18676])).
% 4.93/4.47 tff(18684,assumption,(~m_main_v_state(s122, c_busy)), introduced(assumption)).
% 4.93/4.47 tff(18685,plain,
% 4.93/4.47 (((~![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))),
% 5.00/4.47 inference(rewrite,[status(thm)],[])).
% 5.00/4.47 tff(18686,plain,
% 5.00/4.47 ((~![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))),
% 5.00/4.47 inference(quant_inst,[status(thm)],[])).
% 5.00/4.47 tff(18687,plain,
% 5.00/4.47 ((~![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)),
% 5.00/4.47 inference(modus_ponens,[status(thm)],[18686, 18685])).
% 5.00/4.47 tff(18688,plain,
% 5.00/4.47 (m_main_v_state(s121, c_ready)),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[18687, 188, 18683])).
% 5.00/4.47 tff(18689,plain,
% 5.00/4.47 (((~![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))),
% 5.00/4.47 inference(rewrite,[status(thm)],[])).
% 5.00/4.47 tff(18690,plain,
% 5.00/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s121, s122)) | node2(s121, s122))),
% 5.00/4.47 inference(quant_inst,[status(thm)],[])).
% 5.00/4.47 tff(18691,plain,
% 5.00/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s121, s122)) | node2(s121, s122)),
% 5.00/4.47 inference(modus_ponens,[status(thm)],[18690, 18689])).
% 5.00/4.47 tff(18692,plain,
% 5.00/4.47 (node2(s121, s122)),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[18691, 7, 5504])).
% 5.00/4.47 tff(18693,plain,
% 5.00/4.47 (((~![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(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)))),
% 5.00/4.47 inference(rewrite,[status(thm)],[])).
% 5.00/4.47 tff(18694,plain,
% 5.00/4.47 ((~![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(s121, c_ready)) | (~node2(s121, s122)) | m_main_v_state(s122, c_busy) | (~m_main_v_request(s121)))),
% 5.00/4.47 inference(quant_inst,[status(thm)],[])).
% 5.00/4.47 tff(18695,plain,
% 5.00/4.47 ((~![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(s121, c_ready)) | (~node2(s121, s122)) | m_main_v_state(s122, c_busy) | (~m_main_v_request(s121))),
% 5.00/4.47 inference(modus_ponens,[status(thm)],[18694, 18693])).
% 5.00/4.47 tff(18696,plain,
% 5.00/4.47 ((~m_main_v_state(s121, c_ready)) | m_main_v_state(s122, c_busy) | (~m_main_v_request(s121))),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[18695, 166, 18692])).
% 5.00/4.47 tff(18697,plain,
% 5.00/4.47 (~m_main_v_request(s121)),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[18696, 18688, 18684])).
% 5.00/4.47 tff(18698,plain,
% 5.00/4.47 (((~![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)))),
% 5.00/4.47 inference(rewrite,[status(thm)],[])).
% 5.00/4.47 tff(18699,plain,
% 5.00/4.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s121) | (~node4(s121)))),
% 5.00/4.47 inference(quant_inst,[status(thm)],[])).
% 5.00/4.47 tff(18700,plain,
% 5.00/4.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s121) | (~node4(s121))),
% 5.00/4.47 inference(modus_ponens,[status(thm)],[18699, 18698])).
% 5.00/4.47 tff(18701,plain,
% 5.00/4.47 (~node4(s121)),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[18700, 63, 18697])).
% 5.00/4.47 tff(18702,plain,
% 5.00/4.47 (~until5(s121)),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[18672, 18701])).
% 5.00/4.47 tff(18703,plain,
% 5.00/4.47 (~xuntil6(s120)),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[7877, 18702])).
% 5.00/4.47 tff(18704,plain,
% 5.00/4.47 (node4(s120)),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[18669, 18703])).
% 5.00/4.47 tff(18705,plain,
% 5.00/4.47 (((~![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)))),
% 5.00/4.47 inference(rewrite,[status(thm)],[])).
% 5.00/4.47 tff(18706,plain,
% 5.00/4.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s120) | (~node4(s120)))),
% 5.00/4.47 inference(quant_inst,[status(thm)],[])).
% 5.00/4.47 tff(18707,plain,
% 5.00/4.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s120) | (~node4(s120))),
% 5.00/4.47 inference(modus_ponens,[status(thm)],[18706, 18705])).
% 5.00/4.47 tff(18708,plain,
% 5.00/4.47 (m_main_v_request(s120)),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[18707, 63, 18704])).
% 5.00/4.47 tff(18709,plain,
% 5.00/4.47 (((~![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))),
% 5.00/4.47 inference(rewrite,[status(thm)],[])).
% 5.00/4.47 tff(18710,plain,
% 5.00/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s120, s121)) | node2(s120, s121))),
% 5.00/4.47 inference(quant_inst,[status(thm)],[])).
% 5.00/4.47 tff(18711,plain,
% 5.00/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s120, s121)) | node2(s120, s121)),
% 5.00/4.47 inference(modus_ponens,[status(thm)],[18710, 18709])).
% 5.00/4.47 tff(18712,plain,
% 5.00/4.47 (node2(s120, s121)),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[18711, 7, 5516])).
% 5.00/4.47 tff(18713,plain,
% 5.00/4.47 (((~![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(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)))),
% 5.00/4.47 inference(rewrite,[status(thm)],[])).
% 5.00/4.47 tff(18714,plain,
% 5.00/4.47 ((~![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(s120, c_ready)) | (~node2(s120, s121)) | m_main_v_state(s121, c_busy) | (~m_main_v_request(s120)))),
% 5.00/4.47 inference(quant_inst,[status(thm)],[])).
% 5.00/4.47 tff(18715,plain,
% 5.00/4.47 ((~![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(s120, c_ready)) | (~node2(s120, s121)) | m_main_v_state(s121, c_busy) | (~m_main_v_request(s120))),
% 5.00/4.47 inference(modus_ponens,[status(thm)],[18714, 18713])).
% 5.00/4.47 tff(18716,plain,
% 5.00/4.47 ((~m_main_v_state(s120, c_ready)) | m_main_v_state(s121, c_busy) | (~m_main_v_request(s120))),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[18715, 166, 18712])).
% 5.00/4.47 tff(18717,plain,
% 5.00/4.47 (~m_main_v_state(s120, c_ready)),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[18716, 18708, 18683])).
% 5.00/4.47 tff(18718,plain,
% 5.00/4.47 (always3(s120)),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[7864, 113, 18704])).
% 5.00/4.47 tff(18719,plain,
% 5.00/4.47 (~m_main_v_state(s120, c_busy)),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[18560, 145, 18718])).
% 5.00/4.47 tff(18720,plain,
% 5.00/4.47 (((~![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))),
% 5.00/4.47 inference(rewrite,[status(thm)],[])).
% 5.00/4.47 tff(18721,plain,
% 5.00/4.47 ((~![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))),
% 5.00/4.47 inference(quant_inst,[status(thm)],[])).
% 5.00/4.47 tff(18722,plain,
% 5.00/4.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s120, c_busy) | m_main_v_state(s120, c_ready)),
% 5.00/4.47 inference(modus_ponens,[status(thm)],[18721, 18720])).
% 5.00/4.47 tff(18723,plain,
% 5.00/4.47 ($false),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[18722, 188, 18719, 18717])).
% 5.00/4.47 tff(18724,plain,((~until5(s120)) | xuntil6(s121) | m_main_v_state(s122, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.47 tff(18725,plain,
% 5.00/4.47 (xuntil6(s121)),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[18724, 18659, 18664])).
% 5.00/4.47 tff(18726,plain,
% 5.00/4.47 (until5(s122)),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[7894, 18725])).
% 5.00/4.47 tff(18727,plain,
% 5.00/4.47 (node4(s122)),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[18591, 18726])).
% 5.00/4.47 tff(18728,plain,
% 5.00/4.47 (((~![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)))),
% 5.00/4.47 inference(rewrite,[status(thm)],[])).
% 5.00/4.47 tff(18729,plain,
% 5.00/4.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s122) | (~node4(s122)))),
% 5.00/4.47 inference(quant_inst,[status(thm)],[])).
% 5.00/4.47 tff(18730,plain,
% 5.00/4.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s122) | (~node4(s122))),
% 5.00/4.47 inference(modus_ponens,[status(thm)],[18729, 18728])).
% 5.00/4.47 tff(18731,plain,
% 5.00/4.47 (m_main_v_request(s122)),
% 5.00/4.47 inference(unit_resolution,[status(thm)],[18730, 63, 18727])).
% 5.00/4.47 tff(18732,plain,
% 5.00/4.47 (((~![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))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18733,plain,
% 5.00/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s122, s123)) | node2(s122, s123))),
% 5.00/4.48 inference(quant_inst,[status(thm)],[])).
% 5.00/4.48 tff(18734,plain,
% 5.00/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s122, s123)) | node2(s122, s123)),
% 5.00/4.48 inference(modus_ponens,[status(thm)],[18733, 18732])).
% 5.00/4.48 tff(18735,plain,
% 5.00/4.48 (node2(s122, s123)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18734, 7, 5492])).
% 5.00/4.48 tff(18736,plain,
% 5.00/4.48 (((~![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(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)))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18737,plain,
% 5.00/4.48 ((~![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(s122, c_ready)) | (~node2(s122, s123)) | m_main_v_state(s123, c_busy) | (~m_main_v_request(s122)))),
% 5.00/4.48 inference(quant_inst,[status(thm)],[])).
% 5.00/4.48 tff(18738,plain,
% 5.00/4.48 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s122, c_ready)) | (~node2(s122, s123)) | m_main_v_state(s123, c_busy) | (~m_main_v_request(s122))),
% 5.00/4.48 inference(modus_ponens,[status(thm)],[18737, 18736])).
% 5.00/4.48 tff(18739,plain,
% 5.00/4.48 ((~m_main_v_state(s122, c_ready)) | m_main_v_state(s123, c_busy) | (~m_main_v_request(s122))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18738, 166, 18735])).
% 5.00/4.48 tff(18740,plain,
% 5.00/4.48 ($false),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18739, 18731, 18663, 18652])).
% 5.00/4.48 tff(18741,plain,(xuntil6(s122) | (~until5(s120)) | (~until5(s111))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.48 tff(18742,plain,
% 5.00/4.48 (xuntil6(s122)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18741, 18585, 18146])).
% 5.00/4.48 tff(18743,plain,
% 5.00/4.48 (until5(s123)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7911, 18742])).
% 5.00/4.48 tff(18744,assumption,(~xuntil6(s132)), introduced(assumption)).
% 5.00/4.48 tff(18745,assumption,(~always3(s132)), introduced(assumption)).
% 5.00/4.48 tff(18746,plain,
% 5.00/4.48 (~always3(s131)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5325, 18745])).
% 5.00/4.48 tff(18747,plain,
% 5.00/4.48 (~always3(s130)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5354, 18746])).
% 5.00/4.48 tff(18748,plain,
% 5.00/4.48 (~always3(s129)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5383, 18747])).
% 5.00/4.48 tff(18749,plain,
% 5.00/4.48 (~always3(s128)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5412, 18748])).
% 5.00/4.48 tff(18750,plain,
% 5.00/4.48 (~always3(s127)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5436, 18749])).
% 5.00/4.48 tff(18751,plain,
% 5.00/4.48 (~always3(s126)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5448, 18750])).
% 5.00/4.48 tff(18752,plain,
% 5.00/4.48 (~always3(s125)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5460, 18751])).
% 5.00/4.48 tff(18753,plain,
% 5.00/4.48 (~always3(s124)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5472, 18752])).
% 5.00/4.48 tff(18754,plain,
% 5.00/4.48 (~always3(s123)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5484, 18753])).
% 5.00/4.48 tff(18755,plain,
% 5.00/4.48 (~always3(s122)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5496, 18754])).
% 5.00/4.48 tff(18756,plain,
% 5.00/4.48 (~always3(s121)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5508, 18755])).
% 5.00/4.48 tff(18757,plain,
% 5.00/4.48 (~always3(s120)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5520, 18756])).
% 5.00/4.48 tff(18758,plain,
% 5.00/4.48 (~always3(s119)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5532, 18757])).
% 5.00/4.48 tff(18759,plain,
% 5.00/4.48 (~always3(s118)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5544, 18758])).
% 5.00/4.48 tff(18760,plain,
% 5.00/4.48 (~always3(s117)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5556, 18759])).
% 5.00/4.48 tff(18761,plain,
% 5.00/4.48 (~always3(s116)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5568, 18760])).
% 5.00/4.48 tff(18762,plain,
% 5.00/4.48 (~always3(s115)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5580, 18761])).
% 5.00/4.48 tff(18763,plain,
% 5.00/4.48 (~always3(s114)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5592, 18762])).
% 5.00/4.48 tff(18764,plain,
% 5.00/4.48 (~always3(s113)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5604, 18763])).
% 5.00/4.48 tff(18765,plain,
% 5.00/4.48 (~always3(s112)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5616, 18764])).
% 5.00/4.48 tff(18766,plain,
% 5.00/4.48 (~node4(s112)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7728, 113, 18765])).
% 5.00/4.48 tff(18767,plain,
% 5.00/4.48 (~always3(s111)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5628, 18765])).
% 5.00/4.48 tff(18768,plain,
% 5.00/4.48 (~node4(s111)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7711, 113, 18767])).
% 5.00/4.48 tff(18769,plain,
% 5.00/4.48 (xuntil6(s111)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18164, 18768])).
% 5.00/4.48 tff(18770,plain,
% 5.00/4.48 (until5(s112)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7724, 18769])).
% 5.00/4.48 tff(18771,plain,
% 5.00/4.48 (xuntil6(s112)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7735, 225, 18770, 18766])).
% 5.00/4.48 tff(18772,plain,
% 5.00/4.48 (until5(s113)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7741, 18771])).
% 5.00/4.48 tff(18773,plain,
% 5.00/4.48 (~node4(s113)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7745, 113, 18764])).
% 5.00/4.48 tff(18774,plain,
% 5.00/4.48 (xuntil6(s113) | (~until5(s113))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7752, 225, 18773])).
% 5.00/4.48 tff(18775,plain,
% 5.00/4.48 (xuntil6(s113)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18774, 18772])).
% 5.00/4.48 tff(18776,plain,
% 5.00/4.48 (until5(s114)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7758, 18775])).
% 5.00/4.48 tff(18777,plain,
% 5.00/4.48 (~node4(s114)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7762, 113, 18763])).
% 5.00/4.48 tff(18778,plain,
% 5.00/4.48 (xuntil6(s114) | (~until5(s114))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7769, 225, 18777])).
% 5.00/4.48 tff(18779,plain,
% 5.00/4.48 (xuntil6(s114)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18778, 18776])).
% 5.00/4.48 tff(18780,plain,
% 5.00/4.48 (until5(s115)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7775, 18779])).
% 5.00/4.48 tff(18781,plain,
% 5.00/4.48 (~node4(s115)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7779, 113, 18762])).
% 5.00/4.48 tff(18782,plain,
% 5.00/4.48 (xuntil6(s115) | (~until5(s115))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7786, 225, 18781])).
% 5.00/4.48 tff(18783,plain,
% 5.00/4.48 (xuntil6(s115)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18782, 18780])).
% 5.00/4.48 tff(18784,plain,
% 5.00/4.48 (until5(s116)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7792, 18783])).
% 5.00/4.48 tff(18785,plain,
% 5.00/4.48 (~node4(s116)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7796, 113, 18761])).
% 5.00/4.48 tff(18786,plain,
% 5.00/4.48 (xuntil6(s116) | (~until5(s116))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7803, 225, 18785])).
% 5.00/4.48 tff(18787,plain,
% 5.00/4.48 (xuntil6(s116)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18786, 18784])).
% 5.00/4.48 tff(18788,plain,
% 5.00/4.48 (until5(s117)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7809, 18787])).
% 5.00/4.48 tff(18789,plain,
% 5.00/4.48 (~node4(s117)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7813, 113, 18760])).
% 5.00/4.48 tff(18790,plain,
% 5.00/4.48 (xuntil6(s117) | (~until5(s117))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7820, 225, 18789])).
% 5.00/4.48 tff(18791,plain,
% 5.00/4.48 (xuntil6(s117)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18790, 18788])).
% 5.00/4.48 tff(18792,plain,
% 5.00/4.48 (until5(s118)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7826, 18791])).
% 5.00/4.48 tff(18793,plain,
% 5.00/4.48 (~node4(s118)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7830, 113, 18759])).
% 5.00/4.48 tff(18794,plain,
% 5.00/4.48 (xuntil6(s118) | (~until5(s118))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7837, 225, 18793])).
% 5.00/4.48 tff(18795,plain,
% 5.00/4.48 (xuntil6(s118)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18794, 18792])).
% 5.00/4.48 tff(18796,plain,
% 5.00/4.48 (until5(s119)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7843, 18795])).
% 5.00/4.48 tff(18797,plain,
% 5.00/4.48 (~node4(s119)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7847, 113, 18758])).
% 5.00/4.48 tff(18798,plain,
% 5.00/4.48 (xuntil6(s119) | (~until5(s119))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7854, 225, 18797])).
% 5.00/4.48 tff(18799,plain,
% 5.00/4.48 (xuntil6(s119)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18798, 18796])).
% 5.00/4.48 tff(18800,plain,
% 5.00/4.48 (until5(s120)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7860, 18799])).
% 5.00/4.48 tff(18801,plain,
% 5.00/4.48 (~node4(s120)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7864, 113, 18757])).
% 5.00/4.48 tff(18802,plain,
% 5.00/4.48 (xuntil6(s120) | (~until5(s120))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7871, 225, 18801])).
% 5.00/4.48 tff(18803,plain,
% 5.00/4.48 (xuntil6(s120)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18802, 18800])).
% 5.00/4.48 tff(18804,plain,
% 5.00/4.48 (until5(s121)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7877, 18803])).
% 5.00/4.48 tff(18805,plain,
% 5.00/4.48 (~node4(s121)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7881, 113, 18756])).
% 5.00/4.48 tff(18806,plain,
% 5.00/4.48 (xuntil6(s121) | (~until5(s121))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7888, 225, 18805])).
% 5.00/4.48 tff(18807,plain,
% 5.00/4.48 (xuntil6(s121)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18806, 18804])).
% 5.00/4.48 tff(18808,plain,
% 5.00/4.48 (until5(s122)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7894, 18807])).
% 5.00/4.48 tff(18809,plain,
% 5.00/4.48 (~node4(s122)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7898, 113, 18755])).
% 5.00/4.48 tff(18810,plain,
% 5.00/4.48 (xuntil6(s122) | (~until5(s122))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7905, 225, 18809])).
% 5.00/4.48 tff(18811,plain,
% 5.00/4.48 (xuntil6(s122)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18810, 18808])).
% 5.00/4.48 tff(18812,plain,
% 5.00/4.48 (until5(s123)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7911, 18811])).
% 5.00/4.48 tff(18813,plain,
% 5.00/4.48 (~node4(s123)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7915, 113, 18754])).
% 5.00/4.48 tff(18814,plain,
% 5.00/4.48 (xuntil6(s123) | (~until5(s123))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7922, 225, 18813])).
% 5.00/4.48 tff(18815,plain,
% 5.00/4.48 (xuntil6(s123)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18814, 18812])).
% 5.00/4.48 tff(18816,plain,
% 5.00/4.48 (until5(s124)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7928, 18815])).
% 5.00/4.48 tff(18817,plain,
% 5.00/4.48 (~node4(s124)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7932, 113, 18753])).
% 5.00/4.48 tff(18818,plain,
% 5.00/4.48 (xuntil6(s124) | (~until5(s124))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7939, 225, 18817])).
% 5.00/4.48 tff(18819,plain,
% 5.00/4.48 (xuntil6(s124)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18818, 18816])).
% 5.00/4.48 tff(18820,plain,
% 5.00/4.48 (until5(s125)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7945, 18819])).
% 5.00/4.48 tff(18821,plain,
% 5.00/4.48 (~node4(s125)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7949, 113, 18752])).
% 5.00/4.48 tff(18822,plain,
% 5.00/4.48 (xuntil6(s125) | (~until5(s125))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7956, 225, 18821])).
% 5.00/4.48 tff(18823,plain,
% 5.00/4.48 (xuntil6(s125)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18822, 18820])).
% 5.00/4.48 tff(18824,plain,
% 5.00/4.48 (until5(s126)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7962, 18823])).
% 5.00/4.48 tff(18825,plain,
% 5.00/4.48 (~node4(s126)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7966, 113, 18751])).
% 5.00/4.48 tff(18826,plain,
% 5.00/4.48 (xuntil6(s126) | (~until5(s126))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7973, 225, 18825])).
% 5.00/4.48 tff(18827,plain,
% 5.00/4.48 (xuntil6(s126)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18826, 18824])).
% 5.00/4.48 tff(18828,plain,
% 5.00/4.48 (until5(s127)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7979, 18827])).
% 5.00/4.48 tff(18829,plain,
% 5.00/4.48 (~node4(s127)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7983, 113, 18750])).
% 5.00/4.48 tff(18830,plain,
% 5.00/4.48 (xuntil6(s127) | (~until5(s127))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7990, 225, 18829])).
% 5.00/4.48 tff(18831,plain,
% 5.00/4.48 (xuntil6(s127)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18830, 18828])).
% 5.00/4.48 tff(18832,plain,
% 5.00/4.48 (until5(s128)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7996, 18831])).
% 5.00/4.48 tff(18833,plain,
% 5.00/4.48 (~node4(s128)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5416, 113, 18749])).
% 5.00/4.48 tff(18834,plain,
% 5.00/4.48 (xuntil6(s128) | (~until5(s128))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5423, 225, 18833])).
% 5.00/4.48 tff(18835,plain,
% 5.00/4.48 (xuntil6(s128)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18834, 18832])).
% 5.00/4.48 tff(18836,plain,
% 5.00/4.48 (until5(s129)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5403, 18835])).
% 5.00/4.48 tff(18837,plain,
% 5.00/4.48 (~node4(s129)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5387, 113, 18748])).
% 5.00/4.48 tff(18838,plain,
% 5.00/4.48 (xuntil6(s129) | (~until5(s129))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5394, 225, 18837])).
% 5.00/4.48 tff(18839,plain,
% 5.00/4.48 (xuntil6(s129)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18838, 18836])).
% 5.00/4.48 tff(18840,plain,
% 5.00/4.48 (until5(s130)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5374, 18839])).
% 5.00/4.48 tff(18841,plain,
% 5.00/4.48 (~node4(s130)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5358, 113, 18747])).
% 5.00/4.48 tff(18842,plain,
% 5.00/4.48 (xuntil6(s130) | (~until5(s130))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5365, 225, 18841])).
% 5.00/4.48 tff(18843,plain,
% 5.00/4.48 (xuntil6(s130)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18842, 18840])).
% 5.00/4.48 tff(18844,plain,
% 5.00/4.48 (until5(s131)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5345, 18843])).
% 5.00/4.48 tff(18845,plain,
% 5.00/4.48 (~node4(s131)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5329, 113, 18746])).
% 5.00/4.48 tff(18846,plain,
% 5.00/4.48 (xuntil6(s131) | (~until5(s131))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5336, 225, 18845])).
% 5.00/4.48 tff(18847,plain,
% 5.00/4.48 (xuntil6(s131)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18846, 18844])).
% 5.00/4.48 tff(18848,plain,
% 5.00/4.48 (until5(s132)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5316, 18847])).
% 5.00/4.48 tff(18849,plain,
% 5.00/4.48 (node4(s132) | (~until5(s132))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5307, 225, 18744])).
% 5.00/4.48 tff(18850,plain,
% 5.00/4.48 (node4(s132)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18849, 18848])).
% 5.00/4.48 tff(18851,plain,
% 5.00/4.48 ($false),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5300, 113, 18745, 18850])).
% 5.00/4.48 tff(18852,plain,(always3(s132) | xuntil6(s132) | (~until5(s111))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.48 tff(18853,plain,
% 5.00/4.48 (always3(s132)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18852, 18744, 18146])).
% 5.00/4.48 tff(18854,plain,
% 5.00/4.48 (always3(s133)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5296, 18853])).
% 5.00/4.48 tff(18855,plain,
% 5.00/4.48 (((~![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)))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18856,plain,
% 5.00/4.48 (((~m_main_v_state(s133, c_busy)) | (~always3(s133))) <=> ((~always3(s133)) | (~m_main_v_state(s133, c_busy)))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18857,plain,
% 5.00/4.48 (((~![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))))),
% 5.00/4.48 inference(monotonicity,[status(thm)],[18856])).
% 5.00/4.48 tff(18858,plain,
% 5.00/4.48 (((~![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)))),
% 5.00/4.48 inference(transitivity,[status(thm)],[18857, 18855])).
% 5.00/4.48 tff(18859,plain,
% 5.00/4.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s133, c_busy)) | (~always3(s133)))),
% 5.00/4.48 inference(quant_inst,[status(thm)],[])).
% 5.00/4.48 tff(18860,plain,
% 5.00/4.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s133)) | (~m_main_v_state(s133, c_busy))),
% 5.00/4.48 inference(modus_ponens,[status(thm)],[18859, 18858])).
% 5.00/4.48 tff(18861,plain,
% 5.00/4.48 (~m_main_v_state(s133, c_busy)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18860, 145, 18854])).
% 5.00/4.48 tff(18862,plain,
% 5.00/4.48 (((~![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)))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18863,plain,
% 5.00/4.48 (((~m_main_v_state(s132, c_busy)) | (~always3(s132))) <=> ((~always3(s132)) | (~m_main_v_state(s132, c_busy)))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18864,plain,
% 5.00/4.48 (((~![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))))),
% 5.00/4.48 inference(monotonicity,[status(thm)],[18863])).
% 5.00/4.48 tff(18865,plain,
% 5.00/4.48 (((~![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)))),
% 5.00/4.48 inference(transitivity,[status(thm)],[18864, 18862])).
% 5.00/4.48 tff(18866,plain,
% 5.00/4.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s132, c_busy)) | (~always3(s132)))),
% 5.00/4.48 inference(quant_inst,[status(thm)],[])).
% 5.00/4.48 tff(18867,plain,
% 5.00/4.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s132)) | (~m_main_v_state(s132, c_busy))),
% 5.00/4.48 inference(modus_ponens,[status(thm)],[18866, 18865])).
% 5.00/4.48 tff(18868,plain,
% 5.00/4.48 (~m_main_v_state(s132, c_busy)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18867, 145, 18853])).
% 5.00/4.48 tff(18869,plain,
% 5.00/4.48 (((~![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))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18870,plain,
% 5.00/4.48 ((~![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))),
% 5.00/4.48 inference(quant_inst,[status(thm)],[])).
% 5.00/4.48 tff(18871,plain,
% 5.00/4.48 ((~![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)),
% 5.00/4.48 inference(modus_ponens,[status(thm)],[18870, 18869])).
% 5.00/4.48 tff(18872,plain,
% 5.00/4.48 (m_main_v_state(s132, c_ready)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18871, 188, 18868])).
% 5.00/4.48 tff(18873,assumption,(until5(s123)), introduced(assumption)).
% 5.00/4.48 tff(18874,assumption,(~xuntil6(s131)), introduced(assumption)).
% 5.00/4.48 tff(18875,assumption,(~always3(s131)), introduced(assumption)).
% 5.00/4.48 tff(18876,plain,
% 5.00/4.48 (~always3(s130)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5354, 18875])).
% 5.00/4.48 tff(18877,plain,
% 5.00/4.48 (~always3(s129)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5383, 18876])).
% 5.00/4.48 tff(18878,plain,
% 5.00/4.48 (~always3(s128)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5412, 18877])).
% 5.00/4.48 tff(18879,plain,
% 5.00/4.48 (~always3(s127)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5436, 18878])).
% 5.00/4.48 tff(18880,plain,
% 5.00/4.48 (~always3(s126)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5448, 18879])).
% 5.00/4.48 tff(18881,plain,
% 5.00/4.48 (~always3(s125)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5460, 18880])).
% 5.00/4.48 tff(18882,plain,
% 5.00/4.48 (~always3(s124)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5472, 18881])).
% 5.00/4.48 tff(18883,plain,
% 5.00/4.48 (~node4(s124)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7932, 113, 18882])).
% 5.00/4.48 tff(18884,plain,
% 5.00/4.48 (~always3(s123)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5484, 18882])).
% 5.00/4.48 tff(18885,plain,
% 5.00/4.48 (~node4(s123)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7915, 113, 18884])).
% 5.00/4.48 tff(18886,plain,
% 5.00/4.48 (xuntil6(s123) | node4(s123)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7922, 225, 18873])).
% 5.00/4.48 tff(18887,plain,
% 5.00/4.48 (xuntil6(s123)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18886, 18885])).
% 5.00/4.48 tff(18888,plain,
% 5.00/4.48 (until5(s124)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7928, 18887])).
% 5.00/4.48 tff(18889,plain,
% 5.00/4.48 (xuntil6(s124)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7939, 225, 18888, 18883])).
% 5.00/4.48 tff(18890,plain,
% 5.00/4.48 (until5(s125)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7945, 18889])).
% 5.00/4.48 tff(18891,plain,
% 5.00/4.48 (~node4(s125)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7949, 113, 18881])).
% 5.00/4.48 tff(18892,plain,
% 5.00/4.48 (xuntil6(s125) | (~until5(s125))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7956, 225, 18891])).
% 5.00/4.48 tff(18893,plain,
% 5.00/4.48 (xuntil6(s125)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18892, 18890])).
% 5.00/4.48 tff(18894,plain,
% 5.00/4.48 (until5(s126)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7962, 18893])).
% 5.00/4.48 tff(18895,plain,
% 5.00/4.48 (~node4(s126)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7966, 113, 18880])).
% 5.00/4.48 tff(18896,plain,
% 5.00/4.48 (xuntil6(s126) | (~until5(s126))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7973, 225, 18895])).
% 5.00/4.48 tff(18897,plain,
% 5.00/4.48 (xuntil6(s126)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18896, 18894])).
% 5.00/4.48 tff(18898,plain,
% 5.00/4.48 (until5(s127)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7979, 18897])).
% 5.00/4.48 tff(18899,plain,
% 5.00/4.48 (~node4(s127)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7983, 113, 18879])).
% 5.00/4.48 tff(18900,plain,
% 5.00/4.48 (xuntil6(s127) | (~until5(s127))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7990, 225, 18899])).
% 5.00/4.48 tff(18901,plain,
% 5.00/4.48 (xuntil6(s127)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18900, 18898])).
% 5.00/4.48 tff(18902,plain,
% 5.00/4.48 (until5(s128)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7996, 18901])).
% 5.00/4.48 tff(18903,plain,
% 5.00/4.48 (~node4(s128)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5416, 113, 18878])).
% 5.00/4.48 tff(18904,plain,
% 5.00/4.48 (xuntil6(s128) | (~until5(s128))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5423, 225, 18903])).
% 5.00/4.48 tff(18905,plain,
% 5.00/4.48 (xuntil6(s128)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18904, 18902])).
% 5.00/4.48 tff(18906,plain,
% 5.00/4.48 (until5(s129)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5403, 18905])).
% 5.00/4.48 tff(18907,plain,
% 5.00/4.48 (~node4(s129)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5387, 113, 18877])).
% 5.00/4.48 tff(18908,plain,
% 5.00/4.48 (xuntil6(s129) | (~until5(s129))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5394, 225, 18907])).
% 5.00/4.48 tff(18909,plain,
% 5.00/4.48 (xuntil6(s129)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18908, 18906])).
% 5.00/4.48 tff(18910,plain,
% 5.00/4.48 (until5(s130)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5374, 18909])).
% 5.00/4.48 tff(18911,plain,
% 5.00/4.48 (~node4(s130)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5358, 113, 18876])).
% 5.00/4.48 tff(18912,plain,
% 5.00/4.48 (xuntil6(s130) | (~until5(s130))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5365, 225, 18911])).
% 5.00/4.48 tff(18913,plain,
% 5.00/4.48 (xuntil6(s130)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18912, 18910])).
% 5.00/4.48 tff(18914,plain,
% 5.00/4.48 (until5(s131)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5345, 18913])).
% 5.00/4.48 tff(18915,plain,
% 5.00/4.48 (node4(s131) | (~until5(s131))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5336, 225, 18874])).
% 5.00/4.48 tff(18916,plain,
% 5.00/4.48 (node4(s131)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18915, 18914])).
% 5.00/4.48 tff(18917,plain,
% 5.00/4.48 ($false),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5329, 113, 18875, 18916])).
% 5.00/4.48 tff(18918,plain,(always3(s131) | xuntil6(s131) | (~until5(s123))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.48 tff(18919,plain,
% 5.00/4.48 (always3(s131)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18918, 18873, 18874])).
% 5.00/4.48 tff(18920,plain,
% 5.00/4.48 (((~![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)))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18921,plain,
% 5.00/4.48 (((~m_main_v_state(s131, c_busy)) | (~always3(s131))) <=> ((~always3(s131)) | (~m_main_v_state(s131, c_busy)))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18922,plain,
% 5.00/4.48 (((~![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))))),
% 5.00/4.48 inference(monotonicity,[status(thm)],[18921])).
% 5.00/4.48 tff(18923,plain,
% 5.00/4.48 (((~![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)))),
% 5.00/4.48 inference(transitivity,[status(thm)],[18922, 18920])).
% 5.00/4.48 tff(18924,plain,
% 5.00/4.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s131, c_busy)) | (~always3(s131)))),
% 5.00/4.48 inference(quant_inst,[status(thm)],[])).
% 5.00/4.48 tff(18925,plain,
% 5.00/4.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s131)) | (~m_main_v_state(s131, c_busy))),
% 5.00/4.48 inference(modus_ponens,[status(thm)],[18924, 18923])).
% 5.00/4.48 tff(18926,plain,
% 5.00/4.48 (~m_main_v_state(s131, c_busy)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18925, 145, 18919])).
% 5.00/4.48 tff(18927,assumption,(~m_main_v_state(s131, c_busy)), introduced(assumption)).
% 5.00/4.48 tff(18928,assumption,(node4(s130)), introduced(assumption)).
% 5.00/4.48 tff(18929,plain,
% 5.00/4.48 (((~![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)))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18930,plain,
% 5.00/4.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s130) | (~node4(s130)))),
% 5.00/4.48 inference(quant_inst,[status(thm)],[])).
% 5.00/4.48 tff(18931,plain,
% 5.00/4.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s130) | (~node4(s130))),
% 5.00/4.48 inference(modus_ponens,[status(thm)],[18930, 18929])).
% 5.00/4.48 tff(18932,plain,
% 5.00/4.48 (m_main_v_request(s130)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18931, 63, 18928])).
% 5.00/4.48 tff(18933,plain,
% 5.00/4.48 (((~![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))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18934,plain,
% 5.00/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s130, s131)) | node2(s130, s131))),
% 5.00/4.48 inference(quant_inst,[status(thm)],[])).
% 5.00/4.48 tff(18935,plain,
% 5.00/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s130, s131)) | node2(s130, s131)),
% 5.00/4.48 inference(modus_ponens,[status(thm)],[18934, 18933])).
% 5.00/4.48 tff(18936,plain,
% 5.00/4.48 (node2(s130, s131)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18935, 7, 5350])).
% 5.00/4.48 tff(18937,plain,
% 5.00/4.48 (((~![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(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)))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18938,plain,
% 5.00/4.48 ((~![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(s130, c_ready)) | (~node2(s130, s131)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s130)))),
% 5.00/4.48 inference(quant_inst,[status(thm)],[])).
% 5.00/4.48 tff(18939,plain,
% 5.00/4.48 ((~![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(s130, c_ready)) | (~node2(s130, s131)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s130))),
% 5.00/4.48 inference(modus_ponens,[status(thm)],[18938, 18937])).
% 5.00/4.48 tff(18940,plain,
% 5.00/4.48 ((~m_main_v_state(s130, c_ready)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s130))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18939, 166, 18936])).
% 5.00/4.48 tff(18941,plain,
% 5.00/4.48 (~m_main_v_state(s130, c_ready)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18940, 18932, 18927])).
% 5.00/4.48 tff(18942,plain,
% 5.00/4.48 (always3(s130)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5358, 113, 18928])).
% 5.00/4.48 tff(18943,plain,
% 5.00/4.48 (((~![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)))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18944,plain,
% 5.00/4.48 (((~m_main_v_state(s130, c_busy)) | (~always3(s130))) <=> ((~always3(s130)) | (~m_main_v_state(s130, c_busy)))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18945,plain,
% 5.00/4.48 (((~![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))))),
% 5.00/4.48 inference(monotonicity,[status(thm)],[18944])).
% 5.00/4.48 tff(18946,plain,
% 5.00/4.48 (((~![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)))),
% 5.00/4.48 inference(transitivity,[status(thm)],[18945, 18943])).
% 5.00/4.48 tff(18947,plain,
% 5.00/4.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s130, c_busy)) | (~always3(s130)))),
% 5.00/4.48 inference(quant_inst,[status(thm)],[])).
% 5.00/4.48 tff(18948,plain,
% 5.00/4.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s130)) | (~m_main_v_state(s130, c_busy))),
% 5.00/4.48 inference(modus_ponens,[status(thm)],[18947, 18946])).
% 5.00/4.48 tff(18949,plain,
% 5.00/4.48 (~m_main_v_state(s130, c_busy)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18948, 145, 18942])).
% 5.00/4.48 tff(18950,plain,
% 5.00/4.48 (((~![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))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18951,plain,
% 5.00/4.48 ((~![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))),
% 5.00/4.48 inference(quant_inst,[status(thm)],[])).
% 5.00/4.48 tff(18952,plain,
% 5.00/4.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s130, c_busy) | m_main_v_state(s130, c_ready)),
% 5.00/4.48 inference(modus_ponens,[status(thm)],[18951, 18950])).
% 5.00/4.48 tff(18953,plain,
% 5.00/4.48 ($false),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18952, 188, 18949, 18941])).
% 5.00/4.48 tff(18954,plain,((~node4(s130)) | m_main_v_state(s131, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.48 tff(18955,plain,
% 5.00/4.48 (~node4(s130)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18954, 18926])).
% 5.00/4.48 tff(18956,assumption,(~m_main_v_state(s132, c_busy)), introduced(assumption)).
% 5.00/4.48 tff(18957,plain,
% 5.00/4.48 (((~![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))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18958,plain,
% 5.00/4.48 ((~![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))),
% 5.00/4.48 inference(quant_inst,[status(thm)],[])).
% 5.00/4.48 tff(18959,plain,
% 5.00/4.48 ((~![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)),
% 5.00/4.48 inference(modus_ponens,[status(thm)],[18958, 18957])).
% 5.00/4.48 tff(18960,plain,
% 5.00/4.48 (m_main_v_state(s131, c_ready)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18959, 188, 18926])).
% 5.00/4.48 tff(18961,plain,
% 5.00/4.48 (((~![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))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18962,plain,
% 5.00/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s131, s132)) | node2(s131, s132))),
% 5.00/4.48 inference(quant_inst,[status(thm)],[])).
% 5.00/4.48 tff(18963,plain,
% 5.00/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s131, s132)) | node2(s131, s132)),
% 5.00/4.48 inference(modus_ponens,[status(thm)],[18962, 18961])).
% 5.00/4.48 tff(18964,plain,
% 5.00/4.48 (node2(s131, s132)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18963, 7, 5321])).
% 5.00/4.48 tff(18965,plain,
% 5.00/4.48 (((~![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(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)))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18966,plain,
% 5.00/4.48 ((~![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(s131, c_ready)) | (~node2(s131, s132)) | m_main_v_state(s132, c_busy) | (~m_main_v_request(s131)))),
% 5.00/4.48 inference(quant_inst,[status(thm)],[])).
% 5.00/4.48 tff(18967,plain,
% 5.00/4.48 ((~![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(s131, c_ready)) | (~node2(s131, s132)) | m_main_v_state(s132, c_busy) | (~m_main_v_request(s131))),
% 5.00/4.48 inference(modus_ponens,[status(thm)],[18966, 18965])).
% 5.00/4.48 tff(18968,plain,
% 5.00/4.48 ((~m_main_v_state(s131, c_ready)) | m_main_v_state(s132, c_busy) | (~m_main_v_request(s131))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18967, 166, 18964])).
% 5.00/4.48 tff(18969,plain,
% 5.00/4.48 (~m_main_v_request(s131)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18968, 18960, 18956])).
% 5.00/4.48 tff(18970,plain,
% 5.00/4.48 (((~![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)))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(18971,plain,
% 5.00/4.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s131) | (~node4(s131)))),
% 5.00/4.48 inference(quant_inst,[status(thm)],[])).
% 5.00/4.48 tff(18972,plain,
% 5.00/4.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s131) | (~node4(s131))),
% 5.00/4.48 inference(modus_ponens,[status(thm)],[18971, 18970])).
% 5.00/4.48 tff(18973,plain,
% 5.00/4.48 (~node4(s131)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18972, 63, 18969])).
% 5.00/4.48 tff(18974,plain,
% 5.00/4.48 (~until5(s131)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18915, 18973])).
% 5.00/4.48 tff(18975,plain,
% 5.00/4.48 (~xuntil6(s130)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5345, 18974])).
% 5.00/4.48 tff(18976,plain,
% 5.00/4.48 (node4(s130) | (~until5(s130))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5365, 225, 18975])).
% 5.00/4.48 tff(18977,plain,
% 5.00/4.48 (~until5(s130)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18976, 18955])).
% 5.00/4.48 tff(18978,plain,
% 5.00/4.48 (~xuntil6(s129)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5374, 18977])).
% 5.00/4.48 tff(18979,assumption,(~always3(s129)), introduced(assumption)).
% 5.00/4.48 tff(18980,plain,
% 5.00/4.48 (~always3(s128)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5412, 18979])).
% 5.00/4.48 tff(18981,plain,
% 5.00/4.48 (~node4(s128)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5416, 113, 18980])).
% 5.00/4.48 tff(18982,plain,
% 5.00/4.48 (~node4(s129)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5387, 113, 18979])).
% 5.00/4.48 tff(18983,assumption,(~xuntil6(s129)), introduced(assumption)).
% 5.00/4.48 tff(18984,plain,
% 5.00/4.48 (node4(s129) | (~until5(s129))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5394, 225, 18983])).
% 5.00/4.48 tff(18985,plain,
% 5.00/4.48 (~until5(s129)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18984, 18982])).
% 5.00/4.48 tff(18986,plain,
% 5.00/4.48 (~xuntil6(s128)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5403, 18985])).
% 5.00/4.48 tff(18987,plain,
% 5.00/4.48 (~until5(s128)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5423, 225, 18986, 18981])).
% 5.00/4.48 tff(18988,plain,
% 5.00/4.48 (~xuntil6(s127)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7996, 18987])).
% 5.00/4.48 tff(18989,plain,
% 5.00/4.48 (~always3(s127)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5436, 18980])).
% 5.00/4.48 tff(18990,plain,
% 5.00/4.48 (~node4(s127)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7983, 113, 18989])).
% 5.00/4.48 tff(18991,plain,
% 5.00/4.48 (xuntil6(s127) | (~until5(s127))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7990, 225, 18990])).
% 5.00/4.48 tff(18992,plain,
% 5.00/4.48 (~until5(s127)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18991, 18988])).
% 5.00/4.48 tff(18993,plain,
% 5.00/4.48 (~xuntil6(s126)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7979, 18992])).
% 5.00/4.48 tff(18994,plain,
% 5.00/4.48 (~always3(s126)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5448, 18989])).
% 5.00/4.48 tff(18995,plain,
% 5.00/4.48 (~always3(s125)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5460, 18994])).
% 5.00/4.48 tff(18996,plain,
% 5.00/4.48 (~always3(s124)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5472, 18995])).
% 5.00/4.48 tff(18997,plain,
% 5.00/4.48 (~node4(s124)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7932, 113, 18996])).
% 5.00/4.48 tff(18998,plain,
% 5.00/4.48 (~always3(s123)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[5484, 18996])).
% 5.00/4.48 tff(18999,plain,
% 5.00/4.48 (~node4(s123)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7915, 113, 18998])).
% 5.00/4.48 tff(19000,plain,
% 5.00/4.48 (xuntil6(s123)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[18886, 18999])).
% 5.00/4.48 tff(19001,plain,
% 5.00/4.48 (until5(s124)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7928, 19000])).
% 5.00/4.48 tff(19002,plain,
% 5.00/4.48 (xuntil6(s124)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7939, 225, 19001, 18997])).
% 5.00/4.48 tff(19003,plain,
% 5.00/4.48 (until5(s125)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7945, 19002])).
% 5.00/4.48 tff(19004,plain,
% 5.00/4.48 (~node4(s125)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7949, 113, 18995])).
% 5.00/4.48 tff(19005,plain,
% 5.00/4.48 (xuntil6(s125) | (~until5(s125))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7956, 225, 19004])).
% 5.00/4.48 tff(19006,plain,
% 5.00/4.48 (xuntil6(s125)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[19005, 19003])).
% 5.00/4.48 tff(19007,plain,
% 5.00/4.48 (until5(s126)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7962, 19006])).
% 5.00/4.48 tff(19008,plain,
% 5.00/4.48 (~node4(s126)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7966, 113, 18994])).
% 5.00/4.48 tff(19009,plain,
% 5.00/4.48 (xuntil6(s126) | (~until5(s126))),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[7973, 225, 19008])).
% 5.00/4.48 tff(19010,plain,
% 5.00/4.48 ($false),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[19009, 19007, 18993])).
% 5.00/4.48 tff(19011,plain,(always3(s129) | (~until5(s123)) | xuntil6(s129)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.48 tff(19012,plain,
% 5.00/4.48 (always3(s129)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[19011, 18873, 18978])).
% 5.00/4.48 tff(19013,plain,
% 5.00/4.48 (((~![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)))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(19014,plain,
% 5.00/4.48 (((~m_main_v_state(s129, c_busy)) | (~always3(s129))) <=> ((~always3(s129)) | (~m_main_v_state(s129, c_busy)))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(19015,plain,
% 5.00/4.48 (((~![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))))),
% 5.00/4.48 inference(monotonicity,[status(thm)],[19014])).
% 5.00/4.48 tff(19016,plain,
% 5.00/4.48 (((~![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)))),
% 5.00/4.48 inference(transitivity,[status(thm)],[19015, 19013])).
% 5.00/4.48 tff(19017,plain,
% 5.00/4.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s129, c_busy)) | (~always3(s129)))),
% 5.00/4.48 inference(quant_inst,[status(thm)],[])).
% 5.00/4.48 tff(19018,plain,
% 5.00/4.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s129)) | (~m_main_v_state(s129, c_busy))),
% 5.00/4.48 inference(modus_ponens,[status(thm)],[19017, 19016])).
% 5.00/4.48 tff(19019,plain,
% 5.00/4.48 (~m_main_v_state(s129, c_busy)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[19018, 145, 19012])).
% 5.00/4.48 tff(19020,assumption,(~m_main_v_state(s129, c_busy)), introduced(assumption)).
% 5.00/4.48 tff(19021,assumption,(node4(s128)), introduced(assumption)).
% 5.00/4.48 tff(19022,plain,
% 5.00/4.48 (((~![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)))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.48 tff(19023,plain,
% 5.00/4.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s128) | (~node4(s128)))),
% 5.00/4.48 inference(quant_inst,[status(thm)],[])).
% 5.00/4.48 tff(19024,plain,
% 5.00/4.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s128) | (~node4(s128))),
% 5.00/4.48 inference(modus_ponens,[status(thm)],[19023, 19022])).
% 5.00/4.48 tff(19025,plain,
% 5.00/4.48 (m_main_v_request(s128)),
% 5.00/4.48 inference(unit_resolution,[status(thm)],[19024, 63, 19021])).
% 5.00/4.48 tff(19026,plain,
% 5.00/4.48 (((~![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))),
% 5.00/4.48 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19027,plain,
% 5.00/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s128, s129)) | node2(s128, s129))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19028,plain,
% 5.00/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s128, s129)) | node2(s128, s129)),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19027, 19026])).
% 5.00/4.49 tff(19029,plain,
% 5.00/4.49 (node2(s128, s129)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19028, 7, 5408])).
% 5.00/4.49 tff(19030,plain,
% 5.00/4.49 (((~![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(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)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19031,plain,
% 5.00/4.49 ((~![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(s128, c_ready)) | (~node2(s128, s129)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s128)))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19032,plain,
% 5.00/4.49 ((~![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(s128, c_ready)) | (~node2(s128, s129)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s128))),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19031, 19030])).
% 5.00/4.49 tff(19033,plain,
% 5.00/4.49 ((~m_main_v_state(s128, c_ready)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s128))),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19032, 166, 19029])).
% 5.00/4.49 tff(19034,plain,
% 5.00/4.49 (~m_main_v_state(s128, c_ready)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19033, 19025, 19020])).
% 5.00/4.49 tff(19035,plain,
% 5.00/4.49 (always3(s128)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[5416, 113, 19021])).
% 5.00/4.49 tff(19036,plain,
% 5.00/4.49 (((~![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)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19037,plain,
% 5.00/4.49 (((~m_main_v_state(s128, c_busy)) | (~always3(s128))) <=> ((~always3(s128)) | (~m_main_v_state(s128, c_busy)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19038,plain,
% 5.00/4.49 (((~![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))))),
% 5.00/4.49 inference(monotonicity,[status(thm)],[19037])).
% 5.00/4.49 tff(19039,plain,
% 5.00/4.49 (((~![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)))),
% 5.00/4.49 inference(transitivity,[status(thm)],[19038, 19036])).
% 5.00/4.49 tff(19040,plain,
% 5.00/4.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s128, c_busy)) | (~always3(s128)))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19041,plain,
% 5.00/4.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s128)) | (~m_main_v_state(s128, c_busy))),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19040, 19039])).
% 5.00/4.49 tff(19042,plain,
% 5.00/4.49 (~m_main_v_state(s128, c_busy)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19041, 145, 19035])).
% 5.00/4.49 tff(19043,plain,
% 5.00/4.49 (((~![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))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19044,plain,
% 5.00/4.49 ((~![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))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19045,plain,
% 5.00/4.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s128, c_busy) | m_main_v_state(s128, c_ready)),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19044, 19043])).
% 5.00/4.49 tff(19046,plain,
% 5.00/4.49 ($false),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19045, 188, 19042, 19034])).
% 5.00/4.49 tff(19047,plain,((~node4(s128)) | m_main_v_state(s129, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.49 tff(19048,plain,
% 5.00/4.49 (~node4(s128)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19047, 19019])).
% 5.00/4.49 tff(19049,plain,
% 5.00/4.49 (always3(s130)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[5383, 19012])).
% 5.00/4.49 tff(19050,plain,
% 5.00/4.49 (~m_main_v_state(s130, c_busy)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[18948, 145, 19049])).
% 5.00/4.49 tff(19051,plain,
% 5.00/4.49 (((~![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))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19052,plain,
% 5.00/4.49 ((~![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))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19053,plain,
% 5.00/4.49 ((~![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)),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19052, 19051])).
% 5.00/4.49 tff(19054,plain,
% 5.00/4.49 (m_main_v_state(s129, c_ready)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19053, 188, 19019])).
% 5.00/4.49 tff(19055,plain,
% 5.00/4.49 (((~![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))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19056,plain,
% 5.00/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s129, s130)) | node2(s129, s130))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19057,plain,
% 5.00/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s129, s130)) | node2(s129, s130)),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19056, 19055])).
% 5.00/4.49 tff(19058,plain,
% 5.00/4.49 (node2(s129, s130)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19057, 7, 5379])).
% 5.00/4.49 tff(19059,plain,
% 5.00/4.49 (((~![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(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)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19060,plain,
% 5.00/4.49 ((~![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(s129, c_ready)) | (~node2(s129, s130)) | m_main_v_state(s130, c_busy) | (~m_main_v_request(s129)))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19061,plain,
% 5.00/4.49 ((~![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(s129, c_ready)) | (~node2(s129, s130)) | m_main_v_state(s130, c_busy) | (~m_main_v_request(s129))),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19060, 19059])).
% 5.00/4.49 tff(19062,plain,
% 5.00/4.49 ((~m_main_v_state(s129, c_ready)) | m_main_v_state(s130, c_busy) | (~m_main_v_request(s129))),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19061, 166, 19058])).
% 5.00/4.49 tff(19063,plain,
% 5.00/4.49 (~m_main_v_request(s129)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19062, 19054, 19050])).
% 5.00/4.49 tff(19064,plain,
% 5.00/4.49 (((~![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)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19065,plain,
% 5.00/4.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s129) | (~node4(s129)))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19066,plain,
% 5.00/4.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s129) | (~node4(s129))),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19065, 19064])).
% 5.00/4.49 tff(19067,plain,
% 5.00/4.49 (~node4(s129)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19066, 63, 19063])).
% 5.00/4.49 tff(19068,plain,
% 5.00/4.49 (node4(s129) | (~until5(s129))),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[5394, 225, 18978])).
% 5.00/4.49 tff(19069,plain,
% 5.00/4.49 (~until5(s129)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19068, 19067])).
% 5.00/4.49 tff(19070,plain,
% 5.00/4.49 (~xuntil6(s128)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[5403, 19069])).
% 5.00/4.49 tff(19071,plain,
% 5.00/4.49 (node4(s128) | (~until5(s128))),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[5423, 225, 19070])).
% 5.00/4.49 tff(19072,plain,
% 5.00/4.49 (~until5(s128)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19071, 19048])).
% 5.00/4.49 tff(19073,plain,
% 5.00/4.49 (~xuntil6(s127)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7996, 19072])).
% 5.00/4.49 tff(19074,assumption,(~always3(s127)), introduced(assumption)).
% 5.00/4.49 tff(19075,plain,
% 5.00/4.49 (~always3(s126)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[5448, 19074])).
% 5.00/4.49 tff(19076,plain,
% 5.00/4.49 (~node4(s126)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7966, 113, 19075])).
% 5.00/4.49 tff(19077,plain,
% 5.00/4.49 (~node4(s127)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7983, 113, 19074])).
% 5.00/4.49 tff(19078,assumption,(~xuntil6(s127)), introduced(assumption)).
% 5.00/4.49 tff(19079,plain,
% 5.00/4.49 (node4(s127) | (~until5(s127))),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7990, 225, 19078])).
% 5.00/4.49 tff(19080,plain,
% 5.00/4.49 (~until5(s127)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19079, 19077])).
% 5.00/4.49 tff(19081,plain,
% 5.00/4.49 (~xuntil6(s126)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7979, 19080])).
% 5.00/4.49 tff(19082,plain,
% 5.00/4.49 (~until5(s126)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7973, 225, 19081, 19076])).
% 5.00/4.49 tff(19083,plain,
% 5.00/4.49 (~xuntil6(s125)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7962, 19082])).
% 5.00/4.49 tff(19084,plain,
% 5.00/4.49 (~always3(s125)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[5460, 19075])).
% 5.00/4.49 tff(19085,plain,
% 5.00/4.49 (~always3(s124)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[5472, 19084])).
% 5.00/4.49 tff(19086,plain,
% 5.00/4.49 (~node4(s124)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7932, 113, 19085])).
% 5.00/4.49 tff(19087,plain,
% 5.00/4.49 (~always3(s123)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[5484, 19085])).
% 5.00/4.49 tff(19088,plain,
% 5.00/4.49 (~node4(s123)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7915, 113, 19087])).
% 5.00/4.49 tff(19089,plain,
% 5.00/4.49 (xuntil6(s123)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[18886, 19088])).
% 5.00/4.49 tff(19090,plain,
% 5.00/4.49 (until5(s124)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7928, 19089])).
% 5.00/4.49 tff(19091,plain,
% 5.00/4.49 (xuntil6(s124)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7939, 225, 19090, 19086])).
% 5.00/4.49 tff(19092,plain,
% 5.00/4.49 (until5(s125)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7945, 19091])).
% 5.00/4.49 tff(19093,plain,
% 5.00/4.49 (~node4(s125)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7949, 113, 19084])).
% 5.00/4.49 tff(19094,plain,
% 5.00/4.49 (xuntil6(s125) | (~until5(s125))),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7956, 225, 19093])).
% 5.00/4.49 tff(19095,plain,
% 5.00/4.49 ($false),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19094, 19092, 19083])).
% 5.00/4.49 tff(19096,plain,(always3(s127) | (~until5(s123)) | xuntil6(s127)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.49 tff(19097,plain,
% 5.00/4.49 (always3(s127)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19096, 18873, 19073])).
% 5.00/4.49 tff(19098,plain,
% 5.00/4.49 (((~![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)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19099,plain,
% 5.00/4.49 (((~m_main_v_state(s127, c_busy)) | (~always3(s127))) <=> ((~always3(s127)) | (~m_main_v_state(s127, c_busy)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19100,plain,
% 5.00/4.49 (((~![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))))),
% 5.00/4.49 inference(monotonicity,[status(thm)],[19099])).
% 5.00/4.49 tff(19101,plain,
% 5.00/4.49 (((~![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)))),
% 5.00/4.49 inference(transitivity,[status(thm)],[19100, 19098])).
% 5.00/4.49 tff(19102,plain,
% 5.00/4.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s127, c_busy)) | (~always3(s127)))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19103,plain,
% 5.00/4.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s127)) | (~m_main_v_state(s127, c_busy))),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19102, 19101])).
% 5.00/4.49 tff(19104,plain,
% 5.00/4.49 (~m_main_v_state(s127, c_busy)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19103, 145, 19097])).
% 5.00/4.49 tff(19105,assumption,(~m_main_v_state(s127, c_busy)), introduced(assumption)).
% 5.00/4.49 tff(19106,assumption,(node4(s126)), introduced(assumption)).
% 5.00/4.49 tff(19107,plain,
% 5.00/4.49 (((~![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)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19108,plain,
% 5.00/4.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s126) | (~node4(s126)))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19109,plain,
% 5.00/4.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s126) | (~node4(s126))),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19108, 19107])).
% 5.00/4.49 tff(19110,plain,
% 5.00/4.49 (m_main_v_request(s126)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19109, 63, 19106])).
% 5.00/4.49 tff(19111,plain,
% 5.00/4.49 (((~![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))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19112,plain,
% 5.00/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s126, s127)) | node2(s126, s127))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19113,plain,
% 5.00/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s126, s127)) | node2(s126, s127)),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19112, 19111])).
% 5.00/4.49 tff(19114,plain,
% 5.00/4.49 (node2(s126, s127)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19113, 7, 5444])).
% 5.00/4.49 tff(19115,plain,
% 5.00/4.49 (((~![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(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)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19116,plain,
% 5.00/4.49 ((~![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(s126, c_ready)) | (~node2(s126, s127)) | m_main_v_state(s127, c_busy) | (~m_main_v_request(s126)))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19117,plain,
% 5.00/4.49 ((~![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(s126, c_ready)) | (~node2(s126, s127)) | m_main_v_state(s127, c_busy) | (~m_main_v_request(s126))),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19116, 19115])).
% 5.00/4.49 tff(19118,plain,
% 5.00/4.49 ((~m_main_v_state(s126, c_ready)) | m_main_v_state(s127, c_busy) | (~m_main_v_request(s126))),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19117, 166, 19114])).
% 5.00/4.49 tff(19119,plain,
% 5.00/4.49 (~m_main_v_state(s126, c_ready)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19118, 19110, 19105])).
% 5.00/4.49 tff(19120,plain,
% 5.00/4.49 (always3(s126)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7966, 113, 19106])).
% 5.00/4.49 tff(19121,plain,
% 5.00/4.49 (((~![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)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19122,plain,
% 5.00/4.49 (((~m_main_v_state(s126, c_busy)) | (~always3(s126))) <=> ((~always3(s126)) | (~m_main_v_state(s126, c_busy)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19123,plain,
% 5.00/4.49 (((~![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))))),
% 5.00/4.49 inference(monotonicity,[status(thm)],[19122])).
% 5.00/4.49 tff(19124,plain,
% 5.00/4.49 (((~![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)))),
% 5.00/4.49 inference(transitivity,[status(thm)],[19123, 19121])).
% 5.00/4.49 tff(19125,plain,
% 5.00/4.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s126, c_busy)) | (~always3(s126)))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19126,plain,
% 5.00/4.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s126)) | (~m_main_v_state(s126, c_busy))),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19125, 19124])).
% 5.00/4.49 tff(19127,plain,
% 5.00/4.49 (~m_main_v_state(s126, c_busy)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19126, 145, 19120])).
% 5.00/4.49 tff(19128,plain,
% 5.00/4.49 (((~![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))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19129,plain,
% 5.00/4.49 ((~![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))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19130,plain,
% 5.00/4.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s126, c_busy) | m_main_v_state(s126, c_ready)),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19129, 19128])).
% 5.00/4.49 tff(19131,plain,
% 5.00/4.49 ($false),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19130, 188, 19127, 19119])).
% 5.00/4.49 tff(19132,plain,((~node4(s126)) | m_main_v_state(s127, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.49 tff(19133,plain,
% 5.00/4.49 (~node4(s126)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19132, 19104])).
% 5.00/4.49 tff(19134,plain,
% 5.00/4.49 (always3(s128)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[5436, 19097])).
% 5.00/4.49 tff(19135,plain,
% 5.00/4.49 (~m_main_v_state(s128, c_busy)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19041, 145, 19134])).
% 5.00/4.49 tff(19136,plain,
% 5.00/4.49 (((~![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))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19137,plain,
% 5.00/4.49 ((~![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))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19138,plain,
% 5.00/4.49 ((~![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)),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19137, 19136])).
% 5.00/4.49 tff(19139,plain,
% 5.00/4.49 (m_main_v_state(s127, c_ready)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19138, 188, 19104])).
% 5.00/4.49 tff(19140,plain,
% 5.00/4.49 (((~![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))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19141,plain,
% 5.00/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s127, s128)) | node2(s127, s128))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19142,plain,
% 5.00/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s127, s128)) | node2(s127, s128)),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19141, 19140])).
% 5.00/4.49 tff(19143,plain,
% 5.00/4.49 (node2(s127, s128)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19142, 7, 5432])).
% 5.00/4.49 tff(19144,plain,
% 5.00/4.49 (((~![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(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)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19145,plain,
% 5.00/4.49 ((~![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(s127, c_ready)) | (~node2(s127, s128)) | m_main_v_state(s128, c_busy) | (~m_main_v_request(s127)))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19146,plain,
% 5.00/4.49 ((~![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(s127, c_ready)) | (~node2(s127, s128)) | m_main_v_state(s128, c_busy) | (~m_main_v_request(s127))),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19145, 19144])).
% 5.00/4.49 tff(19147,plain,
% 5.00/4.49 ((~m_main_v_state(s127, c_ready)) | m_main_v_state(s128, c_busy) | (~m_main_v_request(s127))),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19146, 166, 19143])).
% 5.00/4.49 tff(19148,plain,
% 5.00/4.49 (~m_main_v_request(s127)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19147, 19139, 19135])).
% 5.00/4.49 tff(19149,plain,
% 5.00/4.49 (((~![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)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19150,plain,
% 5.00/4.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s127) | (~node4(s127)))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19151,plain,
% 5.00/4.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s127) | (~node4(s127))),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19150, 19149])).
% 5.00/4.49 tff(19152,plain,
% 5.00/4.49 (~node4(s127)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19151, 63, 19148])).
% 5.00/4.49 tff(19153,plain,
% 5.00/4.49 (node4(s127) | (~until5(s127))),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7990, 225, 19073])).
% 5.00/4.49 tff(19154,plain,
% 5.00/4.49 (~until5(s127)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19153, 19152])).
% 5.00/4.49 tff(19155,plain,
% 5.00/4.49 (~xuntil6(s126)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7979, 19154])).
% 5.00/4.49 tff(19156,plain,
% 5.00/4.49 (node4(s126) | (~until5(s126))),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7973, 225, 19155])).
% 5.00/4.49 tff(19157,plain,
% 5.00/4.49 (~until5(s126)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19156, 19133])).
% 5.00/4.49 tff(19158,plain,
% 5.00/4.49 (~xuntil6(s125)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7962, 19157])).
% 5.00/4.49 tff(19159,assumption,(~always3(s125)), introduced(assumption)).
% 5.00/4.49 tff(19160,plain,
% 5.00/4.49 (~always3(s124)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[5472, 19159])).
% 5.00/4.49 tff(19161,plain,
% 5.00/4.49 (~node4(s124)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7932, 113, 19160])).
% 5.00/4.49 tff(19162,plain,
% 5.00/4.49 (~node4(s125)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7949, 113, 19159])).
% 5.00/4.49 tff(19163,assumption,(~xuntil6(s125)), introduced(assumption)).
% 5.00/4.49 tff(19164,plain,
% 5.00/4.49 (node4(s125) | (~until5(s125))),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7956, 225, 19163])).
% 5.00/4.49 tff(19165,plain,
% 5.00/4.49 (~until5(s125)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19164, 19162])).
% 5.00/4.49 tff(19166,plain,
% 5.00/4.49 (~xuntil6(s124)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7945, 19165])).
% 5.00/4.49 tff(19167,plain,
% 5.00/4.49 (~always3(s123)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[5484, 19160])).
% 5.00/4.49 tff(19168,plain,
% 5.00/4.49 (~node4(s123)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7915, 113, 19167])).
% 5.00/4.49 tff(19169,plain,
% 5.00/4.49 (xuntil6(s123)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[18886, 19168])).
% 5.00/4.49 tff(19170,plain,
% 5.00/4.49 (until5(s124)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7928, 19169])).
% 5.00/4.49 tff(19171,plain,
% 5.00/4.49 ($false),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7939, 225, 19170, 19166, 19161])).
% 5.00/4.49 tff(19172,plain,(always3(s125) | (~until5(s123)) | xuntil6(s125)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.49 tff(19173,plain,
% 5.00/4.49 (always3(s125)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19172, 18873, 19158])).
% 5.00/4.49 tff(19174,plain,
% 5.00/4.49 (always3(s126)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[5460, 19173])).
% 5.00/4.49 tff(19175,plain,
% 5.00/4.49 (~m_main_v_state(s126, c_busy)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19126, 145, 19174])).
% 5.00/4.49 tff(19176,plain,
% 5.00/4.49 (((~![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)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19177,plain,
% 5.00/4.49 (((~m_main_v_state(s125, c_busy)) | (~always3(s125))) <=> ((~always3(s125)) | (~m_main_v_state(s125, c_busy)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19178,plain,
% 5.00/4.49 (((~![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))))),
% 5.00/4.49 inference(monotonicity,[status(thm)],[19177])).
% 5.00/4.49 tff(19179,plain,
% 5.00/4.49 (((~![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)))),
% 5.00/4.49 inference(transitivity,[status(thm)],[19178, 19176])).
% 5.00/4.49 tff(19180,plain,
% 5.00/4.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s125, c_busy)) | (~always3(s125)))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19181,plain,
% 5.00/4.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s125)) | (~m_main_v_state(s125, c_busy))),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19180, 19179])).
% 5.00/4.49 tff(19182,plain,
% 5.00/4.49 (~m_main_v_state(s125, c_busy)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19181, 145, 19173])).
% 5.00/4.49 tff(19183,plain,
% 5.00/4.49 (((~![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))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19184,plain,
% 5.00/4.49 ((~![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))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19185,plain,
% 5.00/4.49 ((~![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)),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19184, 19183])).
% 5.00/4.49 tff(19186,plain,
% 5.00/4.49 (m_main_v_state(s125, c_ready)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19185, 188, 19182])).
% 5.00/4.49 tff(19187,plain,
% 5.00/4.49 (((~![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))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19188,plain,
% 5.00/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s125, s126)) | node2(s125, s126))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19189,plain,
% 5.00/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s125, s126)) | node2(s125, s126)),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19188, 19187])).
% 5.00/4.49 tff(19190,plain,
% 5.00/4.49 (node2(s125, s126)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19189, 7, 5456])).
% 5.00/4.49 tff(19191,plain,
% 5.00/4.49 (((~![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(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)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19192,plain,
% 5.00/4.49 ((~![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(s125, c_ready)) | (~node2(s125, s126)) | m_main_v_state(s126, c_busy) | (~m_main_v_request(s125)))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19193,plain,
% 5.00/4.49 ((~![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(s125, c_ready)) | (~node2(s125, s126)) | m_main_v_state(s126, c_busy) | (~m_main_v_request(s125))),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19192, 19191])).
% 5.00/4.49 tff(19194,plain,
% 5.00/4.49 ((~m_main_v_state(s125, c_ready)) | m_main_v_state(s126, c_busy) | (~m_main_v_request(s125))),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19193, 166, 19190])).
% 5.00/4.49 tff(19195,plain,
% 5.00/4.49 (~m_main_v_request(s125)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19194, 19186, 19175])).
% 5.00/4.49 tff(19196,plain,
% 5.00/4.49 (((~![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)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19197,plain,
% 5.00/4.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s125) | (~node4(s125)))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19198,plain,
% 5.00/4.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s125) | (~node4(s125))),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19197, 19196])).
% 5.00/4.49 tff(19199,plain,
% 5.00/4.49 (~node4(s125)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19198, 63, 19195])).
% 5.00/4.49 tff(19200,plain,
% 5.00/4.49 (node4(s125) | (~until5(s125))),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7956, 225, 19158])).
% 5.00/4.49 tff(19201,plain,
% 5.00/4.49 (~until5(s125)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19200, 19199])).
% 5.00/4.49 tff(19202,plain,
% 5.00/4.49 (~xuntil6(s124)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7945, 19201])).
% 5.00/4.49 tff(19203,assumption,(~always3(s124)), introduced(assumption)).
% 5.00/4.49 tff(19204,plain,
% 5.00/4.49 (~always3(s123)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[5484, 19203])).
% 5.00/4.49 tff(19205,plain,
% 5.00/4.49 (~node4(s123)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7915, 113, 19204])).
% 5.00/4.49 tff(19206,plain,
% 5.00/4.49 (xuntil6(s123)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[18886, 19205])).
% 5.00/4.49 tff(19207,plain,
% 5.00/4.49 (until5(s124)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7928, 19206])).
% 5.00/4.49 tff(19208,assumption,(~xuntil6(s124)), introduced(assumption)).
% 5.00/4.49 tff(19209,plain,
% 5.00/4.49 (node4(s124) | (~until5(s124))),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7939, 225, 19208])).
% 5.00/4.49 tff(19210,plain,
% 5.00/4.49 (node4(s124)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19209, 19207])).
% 5.00/4.49 tff(19211,plain,
% 5.00/4.49 ($false),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[7932, 113, 19203, 19210])).
% 5.00/4.49 tff(19212,plain,(always3(s124) | xuntil6(s124) | (~until5(s123))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.49 tff(19213,plain,
% 5.00/4.49 (always3(s124)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19212, 19202, 18873])).
% 5.00/4.49 tff(19214,plain,
% 5.00/4.49 (((~![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)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19215,plain,
% 5.00/4.49 (((~m_main_v_state(s124, c_busy)) | (~always3(s124))) <=> ((~always3(s124)) | (~m_main_v_state(s124, c_busy)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19216,plain,
% 5.00/4.49 (((~![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))))),
% 5.00/4.49 inference(monotonicity,[status(thm)],[19215])).
% 5.00/4.49 tff(19217,plain,
% 5.00/4.49 (((~![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)))),
% 5.00/4.49 inference(transitivity,[status(thm)],[19216, 19214])).
% 5.00/4.49 tff(19218,plain,
% 5.00/4.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s124, c_busy)) | (~always3(s124)))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19219,plain,
% 5.00/4.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s124)) | (~m_main_v_state(s124, c_busy))),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19218, 19217])).
% 5.00/4.49 tff(19220,plain,
% 5.00/4.49 (~m_main_v_state(s124, c_busy)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19219, 145, 19213])).
% 5.00/4.49 tff(19221,plain,
% 5.00/4.49 (((~![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))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19222,plain,
% 5.00/4.49 ((~![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))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19223,plain,
% 5.00/4.49 ((~![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)),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19222, 19221])).
% 5.00/4.49 tff(19224,plain,
% 5.00/4.49 (m_main_v_state(s124, c_ready)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19223, 188, 19220])).
% 5.00/4.49 tff(19225,plain,
% 5.00/4.49 (((~![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))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19226,plain,
% 5.00/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s124, s125)) | node2(s124, s125))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19227,plain,
% 5.00/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s124, s125)) | node2(s124, s125)),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19226, 19225])).
% 5.00/4.49 tff(19228,plain,
% 5.00/4.49 (node2(s124, s125)),
% 5.00/4.49 inference(unit_resolution,[status(thm)],[19227, 7, 5468])).
% 5.00/4.49 tff(19229,plain,
% 5.00/4.49 (((~![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(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)))),
% 5.00/4.49 inference(rewrite,[status(thm)],[])).
% 5.00/4.49 tff(19230,plain,
% 5.00/4.49 ((~![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(s124, c_ready)) | (~node2(s124, s125)) | m_main_v_state(s125, c_busy) | (~m_main_v_request(s124)))),
% 5.00/4.49 inference(quant_inst,[status(thm)],[])).
% 5.00/4.49 tff(19231,plain,
% 5.00/4.49 ((~![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(s124, c_ready)) | (~node2(s124, s125)) | m_main_v_state(s125, c_busy) | (~m_main_v_request(s124))),
% 5.00/4.49 inference(modus_ponens,[status(thm)],[19230, 19229])).
% 5.00/4.50 tff(19232,plain,
% 5.00/4.50 ((~m_main_v_state(s124, c_ready)) | m_main_v_state(s125, c_busy) | (~m_main_v_request(s124))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19231, 166, 19228])).
% 5.00/4.50 tff(19233,plain,
% 5.00/4.50 (~m_main_v_request(s124)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19232, 19224, 19182])).
% 5.00/4.50 tff(19234,plain,
% 5.00/4.50 (((~![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)))),
% 5.00/4.50 inference(rewrite,[status(thm)],[])).
% 5.00/4.50 tff(19235,plain,
% 5.00/4.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s124) | (~node4(s124)))),
% 5.00/4.50 inference(quant_inst,[status(thm)],[])).
% 5.00/4.50 tff(19236,plain,
% 5.00/4.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s124) | (~node4(s124))),
% 5.00/4.50 inference(modus_ponens,[status(thm)],[19235, 19234])).
% 5.00/4.50 tff(19237,plain,
% 5.00/4.50 (~node4(s124)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19236, 63, 19233])).
% 5.00/4.50 tff(19238,plain,
% 5.00/4.50 (node4(s124) | (~until5(s124))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7939, 225, 19202])).
% 5.00/4.50 tff(19239,plain,
% 5.00/4.50 (~until5(s124)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19238, 19237])).
% 5.00/4.50 tff(19240,plain,
% 5.00/4.50 (~xuntil6(s123)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7928, 19239])).
% 5.00/4.50 tff(19241,plain,
% 5.00/4.50 (node4(s123)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[18886, 19240])).
% 5.00/4.50 tff(19242,plain,
% 5.00/4.50 (((~![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)))),
% 5.00/4.50 inference(rewrite,[status(thm)],[])).
% 5.00/4.50 tff(19243,plain,
% 5.00/4.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s123) | (~node4(s123)))),
% 5.00/4.50 inference(quant_inst,[status(thm)],[])).
% 5.00/4.50 tff(19244,plain,
% 5.00/4.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s123) | (~node4(s123))),
% 5.00/4.50 inference(modus_ponens,[status(thm)],[19243, 19242])).
% 5.00/4.50 tff(19245,plain,
% 5.00/4.50 (m_main_v_request(s123)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19244, 63, 19241])).
% 5.00/4.50 tff(19246,plain,
% 5.00/4.50 (((~![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))),
% 5.00/4.50 inference(rewrite,[status(thm)],[])).
% 5.00/4.50 tff(19247,plain,
% 5.00/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s123, s124)) | node2(s123, s124))),
% 5.00/4.50 inference(quant_inst,[status(thm)],[])).
% 5.00/4.50 tff(19248,plain,
% 5.00/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s123, s124)) | node2(s123, s124)),
% 5.00/4.50 inference(modus_ponens,[status(thm)],[19247, 19246])).
% 5.00/4.50 tff(19249,plain,
% 5.00/4.50 (node2(s123, s124)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19248, 7, 5480])).
% 5.00/4.50 tff(19250,plain,
% 5.00/4.50 (((~![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)))),
% 5.00/4.50 inference(rewrite,[status(thm)],[])).
% 5.00/4.50 tff(19251,plain,
% 5.00/4.50 ((~![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)))),
% 5.00/4.50 inference(quant_inst,[status(thm)],[])).
% 5.00/4.50 tff(19252,plain,
% 5.00/4.50 ((~![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))),
% 5.00/4.50 inference(modus_ponens,[status(thm)],[19251, 19250])).
% 5.00/4.50 tff(19253,plain,
% 5.00/4.50 ((~m_main_v_state(s123, c_ready)) | m_main_v_state(s124, c_busy) | (~m_main_v_request(s123))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19252, 166, 19249])).
% 5.00/4.50 tff(19254,plain,
% 5.00/4.50 (~m_main_v_state(s123, c_ready)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19253, 19245, 19220])).
% 5.00/4.50 tff(19255,plain,
% 5.00/4.50 (always3(s123)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7915, 113, 19241])).
% 5.00/4.50 tff(19256,plain,
% 5.00/4.50 (~m_main_v_state(s123, c_busy)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[18651, 145, 19255])).
% 5.00/4.50 tff(19257,plain,
% 5.00/4.50 (((~![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))),
% 5.00/4.50 inference(rewrite,[status(thm)],[])).
% 5.00/4.50 tff(19258,plain,
% 5.00/4.50 ((~![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))),
% 5.00/4.50 inference(quant_inst,[status(thm)],[])).
% 5.00/4.50 tff(19259,plain,
% 5.00/4.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s123, c_busy) | m_main_v_state(s123, c_ready)),
% 5.00/4.50 inference(modus_ponens,[status(thm)],[19258, 19257])).
% 5.00/4.50 tff(19260,plain,
% 5.00/4.50 ($false),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19259, 188, 19256, 19254])).
% 5.00/4.50 tff(19261,plain,((~until5(s123)) | xuntil6(s131) | m_main_v_state(s132, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.50 tff(19262,plain,
% 5.00/4.50 (xuntil6(s131)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19261, 18868, 18873])).
% 5.00/4.50 tff(19263,plain,
% 5.00/4.50 (until5(s132)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5316, 19262])).
% 5.00/4.50 tff(19264,plain,
% 5.00/4.50 (node4(s132)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[18849, 19263])).
% 5.00/4.50 tff(19265,plain,
% 5.00/4.50 (((~![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)))),
% 5.00/4.50 inference(rewrite,[status(thm)],[])).
% 5.00/4.50 tff(19266,plain,
% 5.00/4.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s132) | (~node4(s132)))),
% 5.00/4.50 inference(quant_inst,[status(thm)],[])).
% 5.00/4.50 tff(19267,plain,
% 5.00/4.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s132) | (~node4(s132))),
% 5.00/4.50 inference(modus_ponens,[status(thm)],[19266, 19265])).
% 5.00/4.50 tff(19268,plain,
% 5.00/4.50 (m_main_v_request(s132)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19267, 63, 19264])).
% 5.00/4.50 tff(19269,plain,
% 5.00/4.50 (((~![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))),
% 5.00/4.50 inference(rewrite,[status(thm)],[])).
% 5.00/4.50 tff(19270,plain,
% 5.00/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s132, s133)) | node2(s132, s133))),
% 5.00/4.50 inference(quant_inst,[status(thm)],[])).
% 5.00/4.50 tff(19271,plain,
% 5.00/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s132, s133)) | node2(s132, s133)),
% 5.00/4.50 inference(modus_ponens,[status(thm)],[19270, 19269])).
% 5.00/4.50 tff(19272,plain,
% 5.00/4.50 (node2(s132, s133)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19271, 7, 5292])).
% 5.00/4.50 tff(19273,plain,
% 5.00/4.50 (((~![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(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)))),
% 5.00/4.50 inference(rewrite,[status(thm)],[])).
% 5.00/4.50 tff(19274,plain,
% 5.00/4.50 ((~![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(s132, c_ready)) | (~node2(s132, s133)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s132)))),
% 5.00/4.50 inference(quant_inst,[status(thm)],[])).
% 5.00/4.50 tff(19275,plain,
% 5.00/4.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s132, c_ready)) | (~node2(s132, s133)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s132))),
% 5.00/4.50 inference(modus_ponens,[status(thm)],[19274, 19273])).
% 5.00/4.50 tff(19276,plain,
% 5.00/4.50 ((~m_main_v_state(s132, c_ready)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s132))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19275, 166, 19272])).
% 5.00/4.50 tff(19277,plain,
% 5.00/4.50 ($false),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19276, 19268, 18872, 18861])).
% 5.00/4.50 tff(19278,plain,(xuntil6(s132) | (~until5(s123)) | (~until5(s111))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.50 tff(19279,plain,
% 5.00/4.50 (xuntil6(s132)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19278, 18743, 18146])).
% 5.00/4.50 tff(19280,plain,
% 5.00/4.50 (until5(s133)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5287, 19279])).
% 5.00/4.50 tff(19281,assumption,(~xuntil6(s134)), introduced(assumption)).
% 5.00/4.50 tff(19282,assumption,(~always3(s134)), introduced(assumption)).
% 5.00/4.50 tff(19283,plain,
% 5.00/4.50 (~always3(s133)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5267, 19282])).
% 5.00/4.50 tff(19284,plain,
% 5.00/4.50 (~node4(s133)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5271, 113, 19283])).
% 5.00/4.50 tff(19285,plain,
% 5.00/4.50 (~node4(s134)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5242, 113, 19282])).
% 5.00/4.50 tff(19286,plain,
% 5.00/4.50 (node4(s134) | (~until5(s134))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5249, 225, 19281])).
% 5.00/4.50 tff(19287,plain,
% 5.00/4.50 (~until5(s134)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19286, 19285])).
% 5.00/4.50 tff(19288,plain,
% 5.00/4.50 (~xuntil6(s133)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5258, 19287])).
% 5.00/4.50 tff(19289,plain,
% 5.00/4.50 (~until5(s133)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5278, 225, 19288, 19284])).
% 5.00/4.50 tff(19290,plain,
% 5.00/4.50 (~xuntil6(s132)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5287, 19289])).
% 5.00/4.50 tff(19291,plain,
% 5.00/4.50 (~always3(s132)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5296, 19283])).
% 5.00/4.50 tff(19292,plain,
% 5.00/4.50 (~node4(s132)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5300, 113, 19291])).
% 5.00/4.50 tff(19293,plain,
% 5.00/4.50 (xuntil6(s132) | (~until5(s132))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5307, 225, 19292])).
% 5.00/4.50 tff(19294,plain,
% 5.00/4.50 (~until5(s132)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19293, 19290])).
% 5.00/4.50 tff(19295,plain,
% 5.00/4.50 (~xuntil6(s131)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5316, 19294])).
% 5.00/4.50 tff(19296,plain,
% 5.00/4.50 (~always3(s131)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5325, 19291])).
% 5.00/4.50 tff(19297,plain,
% 5.00/4.50 (~node4(s131)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5329, 113, 19296])).
% 5.00/4.50 tff(19298,plain,
% 5.00/4.50 (xuntil6(s131) | (~until5(s131))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5336, 225, 19297])).
% 5.00/4.50 tff(19299,plain,
% 5.00/4.50 (~until5(s131)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19298, 19295])).
% 5.00/4.50 tff(19300,plain,
% 5.00/4.50 (~xuntil6(s130)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5345, 19299])).
% 5.00/4.50 tff(19301,plain,
% 5.00/4.50 (~always3(s130)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5354, 19296])).
% 5.00/4.50 tff(19302,plain,
% 5.00/4.50 (~node4(s130)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5358, 113, 19301])).
% 5.00/4.50 tff(19303,plain,
% 5.00/4.50 (xuntil6(s130) | (~until5(s130))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5365, 225, 19302])).
% 5.00/4.50 tff(19304,plain,
% 5.00/4.50 (~until5(s130)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19303, 19300])).
% 5.00/4.50 tff(19305,plain,
% 5.00/4.50 (~xuntil6(s129)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5374, 19304])).
% 5.00/4.50 tff(19306,plain,
% 5.00/4.50 (~always3(s129)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5383, 19301])).
% 5.00/4.50 tff(19307,plain,
% 5.00/4.50 (~node4(s129)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5387, 113, 19306])).
% 5.00/4.50 tff(19308,plain,
% 5.00/4.50 (xuntil6(s129) | (~until5(s129))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5394, 225, 19307])).
% 5.00/4.50 tff(19309,plain,
% 5.00/4.50 (~until5(s129)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19308, 19305])).
% 5.00/4.50 tff(19310,plain,
% 5.00/4.50 (~xuntil6(s128)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5403, 19309])).
% 5.00/4.50 tff(19311,plain,
% 5.00/4.50 (~always3(s128)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5412, 19306])).
% 5.00/4.50 tff(19312,plain,
% 5.00/4.50 (~node4(s128)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5416, 113, 19311])).
% 5.00/4.50 tff(19313,plain,
% 5.00/4.50 (xuntil6(s128) | (~until5(s128))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5423, 225, 19312])).
% 5.00/4.50 tff(19314,plain,
% 5.00/4.50 (~until5(s128)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19313, 19310])).
% 5.00/4.50 tff(19315,plain,
% 5.00/4.50 (~xuntil6(s127)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7996, 19314])).
% 5.00/4.50 tff(19316,plain,
% 5.00/4.50 (~always3(s127)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5436, 19311])).
% 5.00/4.50 tff(19317,plain,
% 5.00/4.50 (~node4(s127)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7983, 113, 19316])).
% 5.00/4.50 tff(19318,plain,
% 5.00/4.50 (xuntil6(s127) | (~until5(s127))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7990, 225, 19317])).
% 5.00/4.50 tff(19319,plain,
% 5.00/4.50 (~until5(s127)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19318, 19315])).
% 5.00/4.50 tff(19320,plain,
% 5.00/4.50 (~xuntil6(s126)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7979, 19319])).
% 5.00/4.50 tff(19321,plain,
% 5.00/4.50 (~always3(s126)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5448, 19316])).
% 5.00/4.50 tff(19322,plain,
% 5.00/4.50 (~node4(s126)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7966, 113, 19321])).
% 5.00/4.50 tff(19323,plain,
% 5.00/4.50 (xuntil6(s126) | (~until5(s126))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7973, 225, 19322])).
% 5.00/4.50 tff(19324,plain,
% 5.00/4.50 (~until5(s126)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19323, 19320])).
% 5.00/4.50 tff(19325,plain,
% 5.00/4.50 (~xuntil6(s125)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7962, 19324])).
% 5.00/4.50 tff(19326,plain,
% 5.00/4.50 (~always3(s125)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5460, 19321])).
% 5.00/4.50 tff(19327,plain,
% 5.00/4.50 (~node4(s125)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7949, 113, 19326])).
% 5.00/4.50 tff(19328,plain,
% 5.00/4.50 (xuntil6(s125) | (~until5(s125))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7956, 225, 19327])).
% 5.00/4.50 tff(19329,plain,
% 5.00/4.50 (~until5(s125)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19328, 19325])).
% 5.00/4.50 tff(19330,plain,
% 5.00/4.50 (~xuntil6(s124)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7945, 19329])).
% 5.00/4.50 tff(19331,plain,
% 5.00/4.50 (~always3(s124)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5472, 19326])).
% 5.00/4.50 tff(19332,plain,
% 5.00/4.50 (~node4(s124)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7932, 113, 19331])).
% 5.00/4.50 tff(19333,plain,
% 5.00/4.50 (xuntil6(s124) | (~until5(s124))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7939, 225, 19332])).
% 5.00/4.50 tff(19334,plain,
% 5.00/4.50 (~until5(s124)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19333, 19330])).
% 5.00/4.50 tff(19335,plain,
% 5.00/4.50 (~xuntil6(s123)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7928, 19334])).
% 5.00/4.50 tff(19336,plain,
% 5.00/4.50 (~always3(s123)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5484, 19331])).
% 5.00/4.50 tff(19337,plain,
% 5.00/4.50 (~node4(s123)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7915, 113, 19336])).
% 5.00/4.50 tff(19338,plain,
% 5.00/4.50 (xuntil6(s123) | (~until5(s123))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7922, 225, 19337])).
% 5.00/4.50 tff(19339,plain,
% 5.00/4.50 (~until5(s123)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19338, 19335])).
% 5.00/4.50 tff(19340,plain,
% 5.00/4.50 (~xuntil6(s122)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7911, 19339])).
% 5.00/4.50 tff(19341,plain,
% 5.00/4.50 (~always3(s122)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5496, 19336])).
% 5.00/4.50 tff(19342,plain,
% 5.00/4.50 (~node4(s122)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7898, 113, 19341])).
% 5.00/4.50 tff(19343,plain,
% 5.00/4.50 (xuntil6(s122) | (~until5(s122))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7905, 225, 19342])).
% 5.00/4.50 tff(19344,plain,
% 5.00/4.50 (~until5(s122)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19343, 19340])).
% 5.00/4.50 tff(19345,plain,
% 5.00/4.50 (~xuntil6(s121)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7894, 19344])).
% 5.00/4.50 tff(19346,plain,
% 5.00/4.50 (~always3(s121)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5508, 19341])).
% 5.00/4.50 tff(19347,plain,
% 5.00/4.50 (~node4(s121)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7881, 113, 19346])).
% 5.00/4.50 tff(19348,plain,
% 5.00/4.50 (xuntil6(s121) | (~until5(s121))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7888, 225, 19347])).
% 5.00/4.50 tff(19349,plain,
% 5.00/4.50 (~until5(s121)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19348, 19345])).
% 5.00/4.50 tff(19350,plain,
% 5.00/4.50 (~xuntil6(s120)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7877, 19349])).
% 5.00/4.50 tff(19351,plain,
% 5.00/4.50 (~always3(s120)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5520, 19346])).
% 5.00/4.50 tff(19352,plain,
% 5.00/4.50 (~node4(s120)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7864, 113, 19351])).
% 5.00/4.50 tff(19353,plain,
% 5.00/4.50 (xuntil6(s120) | (~until5(s120))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7871, 225, 19352])).
% 5.00/4.50 tff(19354,plain,
% 5.00/4.50 (~until5(s120)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19353, 19350])).
% 5.00/4.50 tff(19355,plain,
% 5.00/4.50 (~xuntil6(s119)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7860, 19354])).
% 5.00/4.50 tff(19356,plain,
% 5.00/4.50 (~always3(s119)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5532, 19351])).
% 5.00/4.50 tff(19357,plain,
% 5.00/4.50 (~node4(s119)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7847, 113, 19356])).
% 5.00/4.50 tff(19358,plain,
% 5.00/4.50 (xuntil6(s119) | (~until5(s119))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7854, 225, 19357])).
% 5.00/4.50 tff(19359,plain,
% 5.00/4.50 (~until5(s119)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19358, 19355])).
% 5.00/4.50 tff(19360,plain,
% 5.00/4.50 (~always3(s118)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5544, 19356])).
% 5.00/4.50 tff(19361,plain,
% 5.00/4.50 (~always3(s117)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5556, 19360])).
% 5.00/4.50 tff(19362,plain,
% 5.00/4.50 (~always3(s116)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5568, 19361])).
% 5.00/4.50 tff(19363,plain,
% 5.00/4.50 (~always3(s115)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5580, 19362])).
% 5.00/4.50 tff(19364,plain,
% 5.00/4.50 (~always3(s114)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5592, 19363])).
% 5.00/4.50 tff(19365,plain,
% 5.00/4.50 (~always3(s113)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5604, 19364])).
% 5.00/4.50 tff(19366,plain,
% 5.00/4.50 (~always3(s112)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5616, 19365])).
% 5.00/4.50 tff(19367,plain,
% 5.00/4.50 (~always3(s111)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5628, 19366])).
% 5.00/4.50 tff(19368,plain,
% 5.00/4.50 (~always3(s110)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5640, 19367])).
% 5.00/4.50 tff(19369,plain,
% 5.00/4.50 (~always3(s109)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5652, 19368])).
% 5.00/4.50 tff(19370,plain,
% 5.00/4.50 (~always3(s108)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5664, 19369])).
% 5.00/4.50 tff(19371,plain,
% 5.00/4.50 (~always3(s107)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5676, 19370])).
% 5.00/4.50 tff(19372,plain,
% 5.00/4.50 (~always3(s106)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5688, 19371])).
% 5.00/4.50 tff(19373,plain,
% 5.00/4.50 (~always3(s105)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5700, 19372])).
% 5.00/4.50 tff(19374,plain,
% 5.00/4.50 (~always3(s104)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5712, 19373])).
% 5.00/4.50 tff(19375,plain,
% 5.00/4.50 (~node4(s104)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5716, 113, 19374])).
% 5.00/4.50 tff(19376,plain,
% 5.00/4.50 (~always3(s103)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5728, 19374])).
% 5.00/4.50 tff(19377,plain,
% 5.00/4.50 (~always3(s102)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5740, 19376])).
% 5.00/4.50 tff(19378,plain,
% 5.00/4.50 (~always3(s101)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5752, 19377])).
% 5.00/4.50 tff(19379,plain,
% 5.00/4.50 (~always3(s100)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5764, 19378])).
% 5.00/4.50 tff(19380,plain,
% 5.00/4.50 (~always3(s99)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5776, 19379])).
% 5.00/4.50 tff(19381,plain,
% 5.00/4.50 (~always3(s98)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5788, 19380])).
% 5.00/4.50 tff(19382,plain,
% 5.00/4.50 (~always3(s97)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5800, 19381])).
% 5.00/4.50 tff(19383,plain,
% 5.00/4.50 (~always3(s96)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5812, 19382])).
% 5.00/4.50 tff(19384,plain,
% 5.00/4.50 (~always3(s95)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5824, 19383])).
% 5.00/4.50 tff(19385,plain,
% 5.00/4.50 (~always3(s94)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5836, 19384])).
% 5.00/4.50 tff(19386,plain,
% 5.00/4.50 (~always3(s93)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5848, 19385])).
% 5.00/4.50 tff(19387,plain,
% 5.00/4.50 (~always3(s92)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5860, 19386])).
% 5.00/4.50 tff(19388,plain,
% 5.00/4.50 (~always3(s91)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5872, 19387])).
% 5.00/4.50 tff(19389,plain,
% 5.00/4.50 (~always3(s90)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5884, 19388])).
% 5.00/4.50 tff(19390,plain,
% 5.00/4.50 (~always3(s89)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5896, 19389])).
% 5.00/4.50 tff(19391,plain,
% 5.00/4.50 (~always3(s88)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5908, 19390])).
% 5.00/4.50 tff(19392,plain,
% 5.00/4.50 (~always3(s87)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5920, 19391])).
% 5.00/4.50 tff(19393,plain,
% 5.00/4.50 (~always3(s86)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5932, 19392])).
% 5.00/4.50 tff(19394,plain,
% 5.00/4.50 (~always3(s85)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5944, 19393])).
% 5.00/4.50 tff(19395,plain,
% 5.00/4.50 (~always3(s84)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5956, 19394])).
% 5.00/4.50 tff(19396,plain,
% 5.00/4.50 (~always3(s83)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5968, 19395])).
% 5.00/4.50 tff(19397,plain,
% 5.00/4.50 (~always3(s82)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5980, 19396])).
% 5.00/4.50 tff(19398,plain,
% 5.00/4.50 (~always3(s81)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5992, 19397])).
% 5.00/4.50 tff(19399,plain,
% 5.00/4.50 (~always3(s80)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6004, 19398])).
% 5.00/4.50 tff(19400,plain,
% 5.00/4.50 (~always3(s79)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6016, 19399])).
% 5.00/4.50 tff(19401,plain,
% 5.00/4.50 (~always3(s78)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6028, 19400])).
% 5.00/4.50 tff(19402,plain,
% 5.00/4.50 (~always3(s77)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6040, 19401])).
% 5.00/4.50 tff(19403,plain,
% 5.00/4.50 (~always3(s76)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6052, 19402])).
% 5.00/4.50 tff(19404,plain,
% 5.00/4.50 (~always3(s75)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6064, 19403])).
% 5.00/4.50 tff(19405,plain,
% 5.00/4.50 (~always3(s74)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6076, 19404])).
% 5.00/4.50 tff(19406,plain,
% 5.00/4.50 (~always3(s73)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6088, 19405])).
% 5.00/4.50 tff(19407,plain,
% 5.00/4.50 (~always3(s72)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6100, 19406])).
% 5.00/4.50 tff(19408,plain,
% 5.00/4.50 (~always3(s71)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6112, 19407])).
% 5.00/4.50 tff(19409,plain,
% 5.00/4.50 (~always3(s70)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6124, 19408])).
% 5.00/4.50 tff(19410,plain,
% 5.00/4.50 (~always3(s69)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6136, 19409])).
% 5.00/4.50 tff(19411,plain,
% 5.00/4.50 (~always3(s68)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6148, 19410])).
% 5.00/4.50 tff(19412,plain,
% 5.00/4.50 (~always3(s67)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6160, 19411])).
% 5.00/4.50 tff(19413,plain,
% 5.00/4.50 (~always3(s66)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6172, 19412])).
% 5.00/4.50 tff(19414,plain,
% 5.00/4.50 (~always3(s65)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6184, 19413])).
% 5.00/4.50 tff(19415,plain,
% 5.00/4.50 (~always3(s64)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6196, 19414])).
% 5.00/4.50 tff(19416,plain,
% 5.00/4.50 (~always3(s63)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6208, 19415])).
% 5.00/4.50 tff(19417,plain,
% 5.00/4.50 (~always3(s62)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6220, 19416])).
% 5.00/4.50 tff(19418,plain,
% 5.00/4.50 (~always3(s61)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6232, 19417])).
% 5.00/4.50 tff(19419,plain,
% 5.00/4.50 (~always3(s60)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6244, 19418])).
% 5.00/4.50 tff(19420,plain,
% 5.00/4.50 (~always3(s59)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6256, 19419])).
% 5.00/4.50 tff(19421,plain,
% 5.00/4.50 (~always3(s58)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6268, 19420])).
% 5.00/4.50 tff(19422,plain,
% 5.00/4.50 (~always3(s57)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6280, 19421])).
% 5.00/4.50 tff(19423,plain,
% 5.00/4.50 (~always3(s56)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6292, 19422])).
% 5.00/4.50 tff(19424,plain,
% 5.00/4.50 (~always3(s55)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6304, 19423])).
% 5.00/4.50 tff(19425,plain,
% 5.00/4.50 (~always3(s54)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6316, 19424])).
% 5.00/4.50 tff(19426,plain,
% 5.00/4.50 (~always3(s53)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6328, 19425])).
% 5.00/4.50 tff(19427,plain,
% 5.00/4.50 (~always3(s52)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6340, 19426])).
% 5.00/4.50 tff(19428,plain,
% 5.00/4.50 (~always3(s51)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6352, 19427])).
% 5.00/4.50 tff(19429,plain,
% 5.00/4.50 (~always3(s50)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6364, 19428])).
% 5.00/4.50 tff(19430,plain,
% 5.00/4.50 (~always3(s49)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6376, 19429])).
% 5.00/4.50 tff(19431,plain,
% 5.00/4.50 (~always3(s48)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6388, 19430])).
% 5.00/4.50 tff(19432,plain,
% 5.00/4.50 (~always3(s47)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6400, 19431])).
% 5.00/4.50 tff(19433,plain,
% 5.00/4.50 (~always3(s46)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6412, 19432])).
% 5.00/4.50 tff(19434,plain,
% 5.00/4.50 (~always3(s45)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6424, 19433])).
% 5.00/4.50 tff(19435,plain,
% 5.00/4.50 (~always3(s44)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6436, 19434])).
% 5.00/4.50 tff(19436,plain,
% 5.00/4.50 (~always3(s43)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[81, 19435])).
% 5.00/4.50 tff(19437,plain,
% 5.00/4.50 (~always3(s42)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[93, 19436])).
% 5.00/4.50 tff(19438,plain,
% 5.00/4.50 (~always3(s41)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[105, 19437])).
% 5.00/4.50 tff(19439,plain,
% 5.00/4.50 (~always3(s40)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[137, 19438])).
% 5.00/4.50 tff(19440,plain,
% 5.00/4.50 (~always3(s39)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[3143, 19439])).
% 5.00/4.50 tff(19441,plain,
% 5.00/4.50 (~always3(s38)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2699, 19440])).
% 5.00/4.50 tff(19442,plain,
% 5.00/4.50 (~node4(s38)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2678, 113, 19441])).
% 5.00/4.50 tff(19443,plain,
% 5.00/4.50 (~always3(s37)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2375, 19441])).
% 5.00/4.50 tff(19444,plain,
% 5.00/4.50 (~always3(s36)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2387, 19443])).
% 5.00/4.50 tff(19445,plain,
% 5.00/4.50 (~always3(s35)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2399, 19444])).
% 5.00/4.50 tff(19446,plain,
% 5.00/4.50 (~always3(s34)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2411, 19445])).
% 5.00/4.50 tff(19447,plain,
% 5.00/4.50 (~always3(s33)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2423, 19446])).
% 5.00/4.50 tff(19448,plain,
% 5.00/4.50 (~always3(s32)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2435, 19447])).
% 5.00/4.50 tff(19449,plain,
% 5.00/4.50 (~always3(s31)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2447, 19448])).
% 5.00/4.50 tff(19450,plain,
% 5.00/4.50 (~always3(s30)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2326, 19449])).
% 5.00/4.50 tff(19451,plain,
% 5.00/4.50 (~always3(s29)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2229, 19450])).
% 5.00/4.50 tff(19452,plain,
% 5.00/4.50 (~always3(s28)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2173, 19451])).
% 5.00/4.50 tff(19453,plain,
% 5.00/4.50 (~always3(s27)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2081, 19452])).
% 5.00/4.50 tff(19454,plain,
% 5.00/4.50 (~always3(s26)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1993, 19453])).
% 5.00/4.50 tff(19455,plain,
% 5.00/4.50 (~always3(s25)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1873, 19454])).
% 5.00/4.50 tff(19456,plain,
% 5.00/4.50 (~always3(s24)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1771, 19455])).
% 5.00/4.50 tff(19457,plain,
% 5.00/4.50 (~always3(s23)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1816, 19456])).
% 5.00/4.50 tff(19458,plain,
% 5.00/4.50 (~always3(s22)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1557, 19457])).
% 5.00/4.50 tff(19459,plain,
% 5.00/4.50 (~always3(s21)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1306, 19458])).
% 5.00/4.50 tff(19460,plain,
% 5.00/4.50 (~always3(s20)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1351, 19459])).
% 5.00/4.50 tff(19461,plain,
% 5.00/4.50 (~always3(s19)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1363, 19460])).
% 5.00/4.50 tff(19462,plain,
% 5.00/4.50 (~always3(s18)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1379, 19461])).
% 5.00/4.50 tff(19463,plain,
% 5.00/4.50 (~always3(s17)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1395, 19462])).
% 5.00/4.50 tff(19464,plain,
% 5.00/4.50 (~always3(s16)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1407, 19463])).
% 5.00/4.50 tff(19465,plain,
% 5.00/4.50 (~always3(s15)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[654, 19464])).
% 5.00/4.50 tff(19466,plain,
% 5.00/4.50 (xuntil6(s15)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[642, 19465])).
% 5.00/4.50 tff(19467,plain,
% 5.00/4.50 (until5(s16)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1292, 19466])).
% 5.00/4.50 tff(19468,plain,
% 5.00/4.50 (xuntil6(s37)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2661, 19467, 19443])).
% 5.00/4.50 tff(19469,plain,
% 5.00/4.50 (until5(s38)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2666, 19468])).
% 5.00/4.50 tff(19470,plain,
% 5.00/4.50 (xuntil6(s38) | node4(s38)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2673, 225, 19469])).
% 5.00/4.50 tff(19471,plain,
% 5.00/4.50 (xuntil6(s38)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19470, 19442])).
% 5.00/4.50 tff(19472,plain,
% 5.00/4.50 (until5(s39)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[3122, 19471])).
% 5.00/4.50 tff(19473,plain,
% 5.00/4.50 (xuntil6(s103)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7588, 19472, 19376])).
% 5.00/4.50 tff(19474,plain,
% 5.00/4.50 (until5(s104)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7593, 19473])).
% 5.00/4.50 tff(19475,plain,
% 5.00/4.50 (xuntil6(s104)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7600, 225, 19474, 19375])).
% 5.00/4.50 tff(19476,plain,
% 5.00/4.50 (until5(s105)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7605, 19475])).
% 5.00/4.50 tff(19477,plain,
% 5.00/4.50 (~node4(s105)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7609, 113, 19373])).
% 5.00/4.50 tff(19478,plain,
% 5.00/4.50 (xuntil6(s105) | (~until5(s105))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7616, 225, 19477])).
% 5.00/4.50 tff(19479,plain,
% 5.00/4.50 (xuntil6(s105)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19478, 19476])).
% 5.00/4.50 tff(19480,plain,
% 5.00/4.50 (until5(s106)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7622, 19479])).
% 5.00/4.50 tff(19481,plain,
% 5.00/4.50 (~node4(s106)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7626, 113, 19372])).
% 5.00/4.50 tff(19482,plain,
% 5.00/4.50 (xuntil6(s106) | (~until5(s106))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7633, 225, 19481])).
% 5.00/4.50 tff(19483,plain,
% 5.00/4.50 (xuntil6(s106)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19482, 19480])).
% 5.00/4.50 tff(19484,plain,
% 5.00/4.50 (until5(s107)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7639, 19483])).
% 5.00/4.50 tff(19485,plain,
% 5.00/4.50 (~node4(s107)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7643, 113, 19371])).
% 5.00/4.50 tff(19486,plain,
% 5.00/4.50 (xuntil6(s107) | (~until5(s107))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7650, 225, 19485])).
% 5.00/4.50 tff(19487,plain,
% 5.00/4.50 (xuntil6(s107)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19486, 19484])).
% 5.00/4.50 tff(19488,plain,
% 5.00/4.50 (until5(s108)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7656, 19487])).
% 5.00/4.50 tff(19489,plain,
% 5.00/4.50 (~node4(s108)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7660, 113, 19370])).
% 5.00/4.50 tff(19490,plain,
% 5.00/4.50 (xuntil6(s108) | (~until5(s108))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7667, 225, 19489])).
% 5.00/4.50 tff(19491,plain,
% 5.00/4.50 (xuntil6(s108)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19490, 19488])).
% 5.00/4.50 tff(19492,plain,
% 5.00/4.50 (until5(s109)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7673, 19491])).
% 5.00/4.50 tff(19493,plain,
% 5.00/4.50 (~node4(s109)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7677, 113, 19369])).
% 5.00/4.50 tff(19494,plain,
% 5.00/4.50 (xuntil6(s109) | (~until5(s109))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7684, 225, 19493])).
% 5.00/4.50 tff(19495,plain,
% 5.00/4.50 (xuntil6(s109)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19494, 19492])).
% 5.00/4.50 tff(19496,plain,
% 5.00/4.50 (until5(s110)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7690, 19495])).
% 5.00/4.50 tff(19497,plain,
% 5.00/4.50 (~node4(s110)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7694, 113, 19368])).
% 5.00/4.50 tff(19498,plain,
% 5.00/4.50 (xuntil6(s110) | (~until5(s110))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7701, 225, 19497])).
% 5.00/4.50 tff(19499,plain,
% 5.00/4.50 (xuntil6(s110)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19498, 19496])).
% 5.00/4.50 tff(19500,plain,
% 5.00/4.50 (until5(s111)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7707, 19499])).
% 5.00/4.50 tff(19501,plain,
% 5.00/4.50 (~node4(s111)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7711, 113, 19367])).
% 5.00/4.50 tff(19502,plain,
% 5.00/4.50 (xuntil6(s111) | (~until5(s111))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7718, 225, 19501])).
% 5.00/4.50 tff(19503,plain,
% 5.00/4.50 (xuntil6(s111)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19502, 19500])).
% 5.00/4.50 tff(19504,plain,
% 5.00/4.50 (until5(s112)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7724, 19503])).
% 5.00/4.50 tff(19505,plain,
% 5.00/4.50 (~node4(s112)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7728, 113, 19366])).
% 5.00/4.50 tff(19506,plain,
% 5.00/4.50 (xuntil6(s112) | (~until5(s112))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7735, 225, 19505])).
% 5.00/4.50 tff(19507,plain,
% 5.00/4.50 (xuntil6(s112)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19506, 19504])).
% 5.00/4.50 tff(19508,plain,
% 5.00/4.50 (until5(s113)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7741, 19507])).
% 5.00/4.50 tff(19509,plain,
% 5.00/4.50 (~node4(s113)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7745, 113, 19365])).
% 5.00/4.50 tff(19510,plain,
% 5.00/4.50 (xuntil6(s113) | (~until5(s113))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7752, 225, 19509])).
% 5.00/4.50 tff(19511,plain,
% 5.00/4.50 (xuntil6(s113)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19510, 19508])).
% 5.00/4.50 tff(19512,plain,
% 5.00/4.50 (until5(s114)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7758, 19511])).
% 5.00/4.50 tff(19513,plain,
% 5.00/4.50 (~node4(s114)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7762, 113, 19364])).
% 5.00/4.50 tff(19514,plain,
% 5.00/4.50 (xuntil6(s114) | (~until5(s114))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7769, 225, 19513])).
% 5.00/4.50 tff(19515,plain,
% 5.00/4.50 (xuntil6(s114)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19514, 19512])).
% 5.00/4.50 tff(19516,plain,
% 5.00/4.50 (until5(s115)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7775, 19515])).
% 5.00/4.50 tff(19517,plain,
% 5.00/4.50 (~node4(s115)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7779, 113, 19363])).
% 5.00/4.50 tff(19518,plain,
% 5.00/4.50 (xuntil6(s115) | (~until5(s115))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7786, 225, 19517])).
% 5.00/4.50 tff(19519,plain,
% 5.00/4.50 (xuntil6(s115)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19518, 19516])).
% 5.00/4.50 tff(19520,plain,
% 5.00/4.50 (until5(s116)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7792, 19519])).
% 5.00/4.50 tff(19521,plain,
% 5.00/4.50 (~node4(s116)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7796, 113, 19362])).
% 5.00/4.50 tff(19522,plain,
% 5.00/4.50 (xuntil6(s116) | (~until5(s116))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7803, 225, 19521])).
% 5.00/4.50 tff(19523,plain,
% 5.00/4.50 (xuntil6(s116)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19522, 19520])).
% 5.00/4.50 tff(19524,plain,
% 5.00/4.50 (until5(s117)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7809, 19523])).
% 5.00/4.50 tff(19525,plain,
% 5.00/4.50 (~node4(s117)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7813, 113, 19361])).
% 5.00/4.50 tff(19526,plain,
% 5.00/4.50 (xuntil6(s117) | (~until5(s117))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7820, 225, 19525])).
% 5.00/4.50 tff(19527,plain,
% 5.00/4.50 (xuntil6(s117)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19526, 19524])).
% 5.00/4.50 tff(19528,plain,
% 5.00/4.50 (until5(s118)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7826, 19527])).
% 5.00/4.50 tff(19529,plain,
% 5.00/4.50 (~node4(s118)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7830, 113, 19360])).
% 5.00/4.50 tff(19530,plain,
% 5.00/4.50 (xuntil6(s118) | (~until5(s118))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7837, 225, 19529])).
% 5.00/4.50 tff(19531,plain,
% 5.00/4.50 (xuntil6(s118)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19530, 19528])).
% 5.00/4.50 tff(19532,plain,
% 5.00/4.50 ($false),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7843, 19531, 19359])).
% 5.00/4.50 tff(19533,plain,(always3(s134) | xuntil6(s134)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.50 tff(19534,plain,
% 5.00/4.50 (always3(s134)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19533, 19281])).
% 5.00/4.50 tff(19535,plain,
% 5.00/4.50 (always3(s135)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5238, 19534])).
% 5.00/4.50 tff(19536,plain,
% 5.00/4.50 (((~![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)))),
% 5.00/4.50 inference(rewrite,[status(thm)],[])).
% 5.00/4.50 tff(19537,plain,
% 5.00/4.50 (((~m_main_v_state(s135, c_busy)) | (~always3(s135))) <=> ((~always3(s135)) | (~m_main_v_state(s135, c_busy)))),
% 5.00/4.50 inference(rewrite,[status(thm)],[])).
% 5.00/4.50 tff(19538,plain,
% 5.00/4.50 (((~![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))))),
% 5.00/4.50 inference(monotonicity,[status(thm)],[19537])).
% 5.00/4.50 tff(19539,plain,
% 5.00/4.50 (((~![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)))),
% 5.00/4.50 inference(transitivity,[status(thm)],[19538, 19536])).
% 5.00/4.50 tff(19540,plain,
% 5.00/4.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s135, c_busy)) | (~always3(s135)))),
% 5.00/4.50 inference(quant_inst,[status(thm)],[])).
% 5.00/4.50 tff(19541,plain,
% 5.00/4.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s135)) | (~m_main_v_state(s135, c_busy))),
% 5.00/4.50 inference(modus_ponens,[status(thm)],[19540, 19539])).
% 5.00/4.50 tff(19542,plain,
% 5.00/4.50 (~m_main_v_state(s135, c_busy)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19541, 145, 19535])).
% 5.00/4.50 tff(19543,plain,
% 5.00/4.50 (((~![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)))),
% 5.00/4.50 inference(rewrite,[status(thm)],[])).
% 5.00/4.50 tff(19544,plain,
% 5.00/4.50 (((~m_main_v_state(s134, c_busy)) | (~always3(s134))) <=> ((~always3(s134)) | (~m_main_v_state(s134, c_busy)))),
% 5.00/4.50 inference(rewrite,[status(thm)],[])).
% 5.00/4.50 tff(19545,plain,
% 5.00/4.50 (((~![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))))),
% 5.00/4.50 inference(monotonicity,[status(thm)],[19544])).
% 5.00/4.50 tff(19546,plain,
% 5.00/4.50 (((~![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)))),
% 5.00/4.50 inference(transitivity,[status(thm)],[19545, 19543])).
% 5.00/4.50 tff(19547,plain,
% 5.00/4.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s134, c_busy)) | (~always3(s134)))),
% 5.00/4.50 inference(quant_inst,[status(thm)],[])).
% 5.00/4.50 tff(19548,plain,
% 5.00/4.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s134)) | (~m_main_v_state(s134, c_busy))),
% 5.00/4.50 inference(modus_ponens,[status(thm)],[19547, 19546])).
% 5.00/4.50 tff(19549,plain,
% 5.00/4.50 (~m_main_v_state(s134, c_busy)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19548, 145, 19534])).
% 5.00/4.50 tff(19550,plain,
% 5.00/4.50 (((~![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))),
% 5.00/4.50 inference(rewrite,[status(thm)],[])).
% 5.00/4.50 tff(19551,plain,
% 5.00/4.50 ((~![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))),
% 5.00/4.50 inference(quant_inst,[status(thm)],[])).
% 5.00/4.50 tff(19552,plain,
% 5.00/4.50 ((~![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)),
% 5.00/4.50 inference(modus_ponens,[status(thm)],[19551, 19550])).
% 5.00/4.50 tff(19553,plain,
% 5.00/4.50 (m_main_v_state(s134, c_ready)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19552, 188, 19549])).
% 5.00/4.50 tff(19554,plain,
% 5.00/4.50 (((~![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))),
% 5.00/4.50 inference(rewrite,[status(thm)],[])).
% 5.00/4.50 tff(19555,plain,
% 5.00/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s134, s135)) | node2(s134, s135))),
% 5.00/4.50 inference(quant_inst,[status(thm)],[])).
% 5.00/4.50 tff(19556,plain,
% 5.00/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s134, s135)) | node2(s134, s135)),
% 5.00/4.50 inference(modus_ponens,[status(thm)],[19555, 19554])).
% 5.00/4.50 tff(19557,plain,
% 5.00/4.50 (node2(s134, s135)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19556, 7, 5234])).
% 5.00/4.50 tff(19558,plain,
% 5.00/4.50 (((~![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(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)))),
% 5.00/4.50 inference(rewrite,[status(thm)],[])).
% 5.00/4.50 tff(19559,plain,
% 5.00/4.50 ((~![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(s134, c_ready)) | (~node2(s134, s135)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s134)))),
% 5.00/4.50 inference(quant_inst,[status(thm)],[])).
% 5.00/4.50 tff(19560,plain,
% 5.00/4.50 ((~![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(s134, c_ready)) | (~node2(s134, s135)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s134))),
% 5.00/4.50 inference(modus_ponens,[status(thm)],[19559, 19558])).
% 5.00/4.50 tff(19561,plain,
% 5.00/4.50 ((~m_main_v_state(s134, c_ready)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s134))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19560, 166, 19557])).
% 5.00/4.50 tff(19562,plain,
% 5.00/4.50 (~m_main_v_request(s134)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19561, 19553, 19542])).
% 5.00/4.50 tff(19563,plain,
% 5.00/4.50 (((~![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)))),
% 5.00/4.50 inference(rewrite,[status(thm)],[])).
% 5.00/4.50 tff(19564,plain,
% 5.00/4.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s134) | (~node4(s134)))),
% 5.00/4.50 inference(quant_inst,[status(thm)],[])).
% 5.00/4.50 tff(19565,plain,
% 5.00/4.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s134) | (~node4(s134))),
% 5.00/4.50 inference(modus_ponens,[status(thm)],[19564, 19563])).
% 5.00/4.50 tff(19566,plain,
% 5.00/4.50 (~node4(s134)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19565, 63, 19562])).
% 5.00/4.50 tff(19567,plain,
% 5.00/4.50 (~until5(s134)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19286, 19566])).
% 5.00/4.50 tff(19568,plain,
% 5.00/4.50 (~xuntil6(s133)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5258, 19567])).
% 5.00/4.50 tff(19569,assumption,(~always3(s133)), introduced(assumption)).
% 5.00/4.50 tff(19570,plain,
% 5.00/4.50 (~always3(s132)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5296, 19569])).
% 5.00/4.50 tff(19571,plain,
% 5.00/4.50 (~always3(s131)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5325, 19570])).
% 5.00/4.50 tff(19572,plain,
% 5.00/4.50 (~always3(s130)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5354, 19571])).
% 5.00/4.50 tff(19573,plain,
% 5.00/4.50 (~always3(s129)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5383, 19572])).
% 5.00/4.50 tff(19574,plain,
% 5.00/4.50 (~always3(s128)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5412, 19573])).
% 5.00/4.50 tff(19575,plain,
% 5.00/4.50 (~always3(s127)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5436, 19574])).
% 5.00/4.50 tff(19576,plain,
% 5.00/4.50 (~always3(s126)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5448, 19575])).
% 5.00/4.50 tff(19577,plain,
% 5.00/4.50 (~always3(s125)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5460, 19576])).
% 5.00/4.50 tff(19578,plain,
% 5.00/4.50 (~always3(s124)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5472, 19577])).
% 5.00/4.50 tff(19579,plain,
% 5.00/4.50 (~always3(s123)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5484, 19578])).
% 5.00/4.50 tff(19580,plain,
% 5.00/4.50 (~always3(s122)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5496, 19579])).
% 5.00/4.50 tff(19581,plain,
% 5.00/4.50 (~always3(s121)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5508, 19580])).
% 5.00/4.50 tff(19582,plain,
% 5.00/4.50 (~always3(s120)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5520, 19581])).
% 5.00/4.50 tff(19583,plain,
% 5.00/4.50 (~always3(s119)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5532, 19582])).
% 5.00/4.50 tff(19584,plain,
% 5.00/4.50 (~always3(s118)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5544, 19583])).
% 5.00/4.50 tff(19585,plain,
% 5.00/4.50 (~always3(s117)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5556, 19584])).
% 5.00/4.50 tff(19586,plain,
% 5.00/4.50 (~always3(s116)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5568, 19585])).
% 5.00/4.50 tff(19587,plain,
% 5.00/4.50 (~always3(s115)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5580, 19586])).
% 5.00/4.50 tff(19588,plain,
% 5.00/4.50 (~always3(s114)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5592, 19587])).
% 5.00/4.50 tff(19589,plain,
% 5.00/4.50 (~always3(s113)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5604, 19588])).
% 5.00/4.50 tff(19590,plain,
% 5.00/4.50 (~always3(s112)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5616, 19589])).
% 5.00/4.50 tff(19591,plain,
% 5.00/4.50 (~always3(s111)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5628, 19590])).
% 5.00/4.50 tff(19592,plain,
% 5.00/4.50 (~always3(s110)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5640, 19591])).
% 5.00/4.50 tff(19593,plain,
% 5.00/4.50 (~always3(s109)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5652, 19592])).
% 5.00/4.50 tff(19594,plain,
% 5.00/4.50 (~always3(s108)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5664, 19593])).
% 5.00/4.50 tff(19595,plain,
% 5.00/4.50 (~always3(s107)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5676, 19594])).
% 5.00/4.50 tff(19596,plain,
% 5.00/4.50 (~always3(s106)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5688, 19595])).
% 5.00/4.50 tff(19597,plain,
% 5.00/4.50 (~always3(s105)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5700, 19596])).
% 5.00/4.50 tff(19598,plain,
% 5.00/4.50 (~always3(s104)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5712, 19597])).
% 5.00/4.50 tff(19599,plain,
% 5.00/4.50 (~node4(s104)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5716, 113, 19598])).
% 5.00/4.50 tff(19600,plain,
% 5.00/4.50 (~always3(s103)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5728, 19598])).
% 5.00/4.50 tff(19601,plain,
% 5.00/4.50 (~always3(s102)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5740, 19600])).
% 5.00/4.50 tff(19602,plain,
% 5.00/4.50 (~always3(s101)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5752, 19601])).
% 5.00/4.50 tff(19603,plain,
% 5.00/4.50 (~always3(s100)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5764, 19602])).
% 5.00/4.50 tff(19604,plain,
% 5.00/4.50 (~always3(s99)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5776, 19603])).
% 5.00/4.50 tff(19605,plain,
% 5.00/4.50 (~always3(s98)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5788, 19604])).
% 5.00/4.50 tff(19606,plain,
% 5.00/4.50 (~always3(s97)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5800, 19605])).
% 5.00/4.50 tff(19607,plain,
% 5.00/4.50 (~always3(s96)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5812, 19606])).
% 5.00/4.50 tff(19608,plain,
% 5.00/4.50 (~always3(s95)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5824, 19607])).
% 5.00/4.50 tff(19609,plain,
% 5.00/4.50 (~always3(s94)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5836, 19608])).
% 5.00/4.50 tff(19610,plain,
% 5.00/4.50 (~always3(s93)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5848, 19609])).
% 5.00/4.50 tff(19611,plain,
% 5.00/4.50 (~always3(s92)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5860, 19610])).
% 5.00/4.50 tff(19612,plain,
% 5.00/4.50 (~always3(s91)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5872, 19611])).
% 5.00/4.50 tff(19613,plain,
% 5.00/4.50 (~always3(s90)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5884, 19612])).
% 5.00/4.50 tff(19614,plain,
% 5.00/4.50 (~always3(s89)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5896, 19613])).
% 5.00/4.50 tff(19615,plain,
% 5.00/4.50 (~always3(s88)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5908, 19614])).
% 5.00/4.50 tff(19616,plain,
% 5.00/4.50 (~always3(s87)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5920, 19615])).
% 5.00/4.50 tff(19617,plain,
% 5.00/4.50 (~always3(s86)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5932, 19616])).
% 5.00/4.50 tff(19618,plain,
% 5.00/4.50 (~always3(s85)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5944, 19617])).
% 5.00/4.50 tff(19619,plain,
% 5.00/4.50 (~always3(s84)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5956, 19618])).
% 5.00/4.50 tff(19620,plain,
% 5.00/4.50 (~always3(s83)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5968, 19619])).
% 5.00/4.50 tff(19621,plain,
% 5.00/4.50 (~always3(s82)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5980, 19620])).
% 5.00/4.50 tff(19622,plain,
% 5.00/4.50 (~always3(s81)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[5992, 19621])).
% 5.00/4.50 tff(19623,plain,
% 5.00/4.50 (~always3(s80)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6004, 19622])).
% 5.00/4.50 tff(19624,plain,
% 5.00/4.50 (~always3(s79)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6016, 19623])).
% 5.00/4.50 tff(19625,plain,
% 5.00/4.50 (~always3(s78)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6028, 19624])).
% 5.00/4.50 tff(19626,plain,
% 5.00/4.50 (~always3(s77)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6040, 19625])).
% 5.00/4.50 tff(19627,plain,
% 5.00/4.50 (~always3(s76)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6052, 19626])).
% 5.00/4.50 tff(19628,plain,
% 5.00/4.50 (~always3(s75)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6064, 19627])).
% 5.00/4.50 tff(19629,plain,
% 5.00/4.50 (~always3(s74)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6076, 19628])).
% 5.00/4.50 tff(19630,plain,
% 5.00/4.50 (~always3(s73)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6088, 19629])).
% 5.00/4.50 tff(19631,plain,
% 5.00/4.50 (~always3(s72)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6100, 19630])).
% 5.00/4.50 tff(19632,plain,
% 5.00/4.50 (~always3(s71)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6112, 19631])).
% 5.00/4.50 tff(19633,plain,
% 5.00/4.50 (~always3(s70)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6124, 19632])).
% 5.00/4.50 tff(19634,plain,
% 5.00/4.50 (~always3(s69)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6136, 19633])).
% 5.00/4.50 tff(19635,plain,
% 5.00/4.50 (~always3(s68)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6148, 19634])).
% 5.00/4.50 tff(19636,plain,
% 5.00/4.50 (~always3(s67)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6160, 19635])).
% 5.00/4.50 tff(19637,plain,
% 5.00/4.50 (~always3(s66)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6172, 19636])).
% 5.00/4.50 tff(19638,plain,
% 5.00/4.50 (~always3(s65)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6184, 19637])).
% 5.00/4.50 tff(19639,plain,
% 5.00/4.50 (~always3(s64)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6196, 19638])).
% 5.00/4.50 tff(19640,plain,
% 5.00/4.50 (~always3(s63)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6208, 19639])).
% 5.00/4.50 tff(19641,plain,
% 5.00/4.50 (~always3(s62)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6220, 19640])).
% 5.00/4.50 tff(19642,plain,
% 5.00/4.50 (~always3(s61)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6232, 19641])).
% 5.00/4.50 tff(19643,plain,
% 5.00/4.50 (~always3(s60)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6244, 19642])).
% 5.00/4.50 tff(19644,plain,
% 5.00/4.50 (~always3(s59)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6256, 19643])).
% 5.00/4.50 tff(19645,plain,
% 5.00/4.50 (~always3(s58)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6268, 19644])).
% 5.00/4.50 tff(19646,plain,
% 5.00/4.50 (~always3(s57)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6280, 19645])).
% 5.00/4.50 tff(19647,plain,
% 5.00/4.50 (~always3(s56)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6292, 19646])).
% 5.00/4.50 tff(19648,plain,
% 5.00/4.50 (~always3(s55)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6304, 19647])).
% 5.00/4.50 tff(19649,plain,
% 5.00/4.50 (~always3(s54)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6316, 19648])).
% 5.00/4.50 tff(19650,plain,
% 5.00/4.50 (~always3(s53)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6328, 19649])).
% 5.00/4.50 tff(19651,plain,
% 5.00/4.50 (~always3(s52)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6340, 19650])).
% 5.00/4.50 tff(19652,plain,
% 5.00/4.50 (~always3(s51)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6352, 19651])).
% 5.00/4.50 tff(19653,plain,
% 5.00/4.50 (~always3(s50)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6364, 19652])).
% 5.00/4.50 tff(19654,plain,
% 5.00/4.50 (~always3(s49)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6376, 19653])).
% 5.00/4.50 tff(19655,plain,
% 5.00/4.50 (~always3(s48)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6388, 19654])).
% 5.00/4.50 tff(19656,plain,
% 5.00/4.50 (~always3(s47)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6400, 19655])).
% 5.00/4.50 tff(19657,plain,
% 5.00/4.50 (~always3(s46)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6412, 19656])).
% 5.00/4.50 tff(19658,plain,
% 5.00/4.50 (~always3(s45)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6424, 19657])).
% 5.00/4.50 tff(19659,plain,
% 5.00/4.50 (~always3(s44)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[6436, 19658])).
% 5.00/4.50 tff(19660,plain,
% 5.00/4.50 (~always3(s43)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[81, 19659])).
% 5.00/4.50 tff(19661,plain,
% 5.00/4.50 (~always3(s42)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[93, 19660])).
% 5.00/4.50 tff(19662,plain,
% 5.00/4.50 (~always3(s41)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[105, 19661])).
% 5.00/4.50 tff(19663,plain,
% 5.00/4.50 (~always3(s40)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[137, 19662])).
% 5.00/4.50 tff(19664,plain,
% 5.00/4.50 (~always3(s39)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[3143, 19663])).
% 5.00/4.50 tff(19665,plain,
% 5.00/4.50 (~always3(s38)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2699, 19664])).
% 5.00/4.50 tff(19666,plain,
% 5.00/4.50 (~node4(s38)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2678, 113, 19665])).
% 5.00/4.50 tff(19667,plain,
% 5.00/4.50 (~always3(s37)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2375, 19665])).
% 5.00/4.50 tff(19668,plain,
% 5.00/4.50 (~always3(s36)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2387, 19667])).
% 5.00/4.50 tff(19669,plain,
% 5.00/4.50 (~always3(s35)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2399, 19668])).
% 5.00/4.50 tff(19670,plain,
% 5.00/4.50 (~always3(s34)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2411, 19669])).
% 5.00/4.50 tff(19671,plain,
% 5.00/4.50 (~always3(s33)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2423, 19670])).
% 5.00/4.50 tff(19672,plain,
% 5.00/4.50 (~always3(s32)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2435, 19671])).
% 5.00/4.50 tff(19673,plain,
% 5.00/4.50 (~always3(s31)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2447, 19672])).
% 5.00/4.50 tff(19674,plain,
% 5.00/4.50 (~always3(s30)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2326, 19673])).
% 5.00/4.50 tff(19675,plain,
% 5.00/4.50 (~always3(s29)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2229, 19674])).
% 5.00/4.50 tff(19676,plain,
% 5.00/4.50 (~always3(s28)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2173, 19675])).
% 5.00/4.50 tff(19677,plain,
% 5.00/4.50 (~always3(s27)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2081, 19676])).
% 5.00/4.50 tff(19678,plain,
% 5.00/4.50 (~always3(s26)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1993, 19677])).
% 5.00/4.50 tff(19679,plain,
% 5.00/4.50 (~always3(s25)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1873, 19678])).
% 5.00/4.50 tff(19680,plain,
% 5.00/4.50 (~always3(s24)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1771, 19679])).
% 5.00/4.50 tff(19681,plain,
% 5.00/4.50 (~always3(s23)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1816, 19680])).
% 5.00/4.50 tff(19682,plain,
% 5.00/4.50 (~always3(s22)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1557, 19681])).
% 5.00/4.50 tff(19683,plain,
% 5.00/4.50 (~always3(s21)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1306, 19682])).
% 5.00/4.50 tff(19684,plain,
% 5.00/4.50 (~always3(s20)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1351, 19683])).
% 5.00/4.50 tff(19685,plain,
% 5.00/4.50 (~always3(s19)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1363, 19684])).
% 5.00/4.50 tff(19686,plain,
% 5.00/4.50 (~always3(s18)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1379, 19685])).
% 5.00/4.50 tff(19687,plain,
% 5.00/4.50 (~always3(s17)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1395, 19686])).
% 5.00/4.50 tff(19688,plain,
% 5.00/4.50 (~always3(s16)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1407, 19687])).
% 5.00/4.50 tff(19689,plain,
% 5.00/4.50 (~always3(s15)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[654, 19688])).
% 5.00/4.50 tff(19690,plain,
% 5.00/4.50 (xuntil6(s15)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[642, 19689])).
% 5.00/4.50 tff(19691,plain,
% 5.00/4.50 (until5(s16)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[1292, 19690])).
% 5.00/4.50 tff(19692,plain,
% 5.00/4.50 (xuntil6(s37)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2661, 19691, 19667])).
% 5.00/4.50 tff(19693,plain,
% 5.00/4.50 (until5(s38)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2666, 19692])).
% 5.00/4.50 tff(19694,plain,
% 5.00/4.50 (xuntil6(s38) | node4(s38)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[2673, 225, 19693])).
% 5.00/4.50 tff(19695,plain,
% 5.00/4.50 (xuntil6(s38)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19694, 19666])).
% 5.00/4.50 tff(19696,plain,
% 5.00/4.50 (until5(s39)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[3122, 19695])).
% 5.00/4.50 tff(19697,plain,
% 5.00/4.50 (xuntil6(s103)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7588, 19696, 19600])).
% 5.00/4.50 tff(19698,plain,
% 5.00/4.50 (until5(s104)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7593, 19697])).
% 5.00/4.50 tff(19699,plain,
% 5.00/4.50 (xuntil6(s104)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7600, 225, 19698, 19599])).
% 5.00/4.50 tff(19700,plain,
% 5.00/4.50 (until5(s105)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7605, 19699])).
% 5.00/4.50 tff(19701,plain,
% 5.00/4.50 (~node4(s105)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7609, 113, 19597])).
% 5.00/4.50 tff(19702,plain,
% 5.00/4.50 (xuntil6(s105) | (~until5(s105))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7616, 225, 19701])).
% 5.00/4.50 tff(19703,plain,
% 5.00/4.50 (xuntil6(s105)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19702, 19700])).
% 5.00/4.50 tff(19704,plain,
% 5.00/4.50 (until5(s106)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7622, 19703])).
% 5.00/4.50 tff(19705,plain,
% 5.00/4.50 (~node4(s106)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7626, 113, 19596])).
% 5.00/4.50 tff(19706,plain,
% 5.00/4.50 (xuntil6(s106) | (~until5(s106))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7633, 225, 19705])).
% 5.00/4.50 tff(19707,plain,
% 5.00/4.50 (xuntil6(s106)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19706, 19704])).
% 5.00/4.50 tff(19708,plain,
% 5.00/4.50 (until5(s107)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7639, 19707])).
% 5.00/4.50 tff(19709,plain,
% 5.00/4.50 (~node4(s107)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7643, 113, 19595])).
% 5.00/4.50 tff(19710,plain,
% 5.00/4.50 (xuntil6(s107) | (~until5(s107))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7650, 225, 19709])).
% 5.00/4.50 tff(19711,plain,
% 5.00/4.50 (xuntil6(s107)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19710, 19708])).
% 5.00/4.50 tff(19712,plain,
% 5.00/4.50 (until5(s108)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7656, 19711])).
% 5.00/4.50 tff(19713,plain,
% 5.00/4.50 (~node4(s108)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7660, 113, 19594])).
% 5.00/4.50 tff(19714,plain,
% 5.00/4.50 (xuntil6(s108) | (~until5(s108))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7667, 225, 19713])).
% 5.00/4.50 tff(19715,plain,
% 5.00/4.50 (xuntil6(s108)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19714, 19712])).
% 5.00/4.50 tff(19716,plain,
% 5.00/4.50 (until5(s109)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7673, 19715])).
% 5.00/4.50 tff(19717,plain,
% 5.00/4.50 (~node4(s109)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7677, 113, 19593])).
% 5.00/4.50 tff(19718,plain,
% 5.00/4.50 (xuntil6(s109) | (~until5(s109))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7684, 225, 19717])).
% 5.00/4.50 tff(19719,plain,
% 5.00/4.50 (xuntil6(s109)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19718, 19716])).
% 5.00/4.50 tff(19720,plain,
% 5.00/4.50 (until5(s110)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7690, 19719])).
% 5.00/4.50 tff(19721,plain,
% 5.00/4.50 (~node4(s110)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7694, 113, 19592])).
% 5.00/4.50 tff(19722,plain,
% 5.00/4.50 (xuntil6(s110) | (~until5(s110))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7701, 225, 19721])).
% 5.00/4.50 tff(19723,plain,
% 5.00/4.50 (xuntil6(s110)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19722, 19720])).
% 5.00/4.50 tff(19724,plain,
% 5.00/4.50 (until5(s111)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7707, 19723])).
% 5.00/4.50 tff(19725,plain,
% 5.00/4.50 (~node4(s111)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7711, 113, 19591])).
% 5.00/4.50 tff(19726,plain,
% 5.00/4.50 (xuntil6(s111) | (~until5(s111))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7718, 225, 19725])).
% 5.00/4.50 tff(19727,plain,
% 5.00/4.50 (xuntil6(s111)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19726, 19724])).
% 5.00/4.50 tff(19728,plain,
% 5.00/4.50 (until5(s112)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7724, 19727])).
% 5.00/4.50 tff(19729,plain,
% 5.00/4.50 (~node4(s112)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7728, 113, 19590])).
% 5.00/4.50 tff(19730,plain,
% 5.00/4.50 (xuntil6(s112) | (~until5(s112))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7735, 225, 19729])).
% 5.00/4.50 tff(19731,plain,
% 5.00/4.50 (xuntil6(s112)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19730, 19728])).
% 5.00/4.50 tff(19732,plain,
% 5.00/4.50 (until5(s113)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7741, 19731])).
% 5.00/4.50 tff(19733,plain,
% 5.00/4.50 (~node4(s113)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7745, 113, 19589])).
% 5.00/4.50 tff(19734,plain,
% 5.00/4.50 (xuntil6(s113) | (~until5(s113))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7752, 225, 19733])).
% 5.00/4.50 tff(19735,plain,
% 5.00/4.50 (xuntil6(s113)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19734, 19732])).
% 5.00/4.50 tff(19736,plain,
% 5.00/4.50 (until5(s114)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7758, 19735])).
% 5.00/4.50 tff(19737,plain,
% 5.00/4.50 (~node4(s114)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7762, 113, 19588])).
% 5.00/4.50 tff(19738,plain,
% 5.00/4.50 (xuntil6(s114) | (~until5(s114))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7769, 225, 19737])).
% 5.00/4.50 tff(19739,plain,
% 5.00/4.50 (xuntil6(s114)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19738, 19736])).
% 5.00/4.50 tff(19740,plain,
% 5.00/4.50 (until5(s115)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7775, 19739])).
% 5.00/4.50 tff(19741,plain,
% 5.00/4.50 (~node4(s115)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7779, 113, 19587])).
% 5.00/4.50 tff(19742,plain,
% 5.00/4.50 (xuntil6(s115) | (~until5(s115))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7786, 225, 19741])).
% 5.00/4.50 tff(19743,plain,
% 5.00/4.50 (xuntil6(s115)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[19742, 19740])).
% 5.00/4.50 tff(19744,plain,
% 5.00/4.50 (until5(s116)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7792, 19743])).
% 5.00/4.50 tff(19745,plain,
% 5.00/4.50 (~node4(s116)),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7796, 113, 19586])).
% 5.00/4.50 tff(19746,plain,
% 5.00/4.50 (xuntil6(s116) | (~until5(s116))),
% 5.00/4.50 inference(unit_resolution,[status(thm)],[7803, 225, 19745])).
% 5.00/4.50 tff(19747,plain,
% 5.00/4.50 (xuntil6(s116)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19746, 19744])).
% 5.00/4.51 tff(19748,plain,
% 5.00/4.51 (until5(s117)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7809, 19747])).
% 5.00/4.51 tff(19749,plain,
% 5.00/4.51 (~node4(s117)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7813, 113, 19585])).
% 5.00/4.51 tff(19750,plain,
% 5.00/4.51 (xuntil6(s117) | (~until5(s117))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7820, 225, 19749])).
% 5.00/4.51 tff(19751,plain,
% 5.00/4.51 (xuntil6(s117)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19750, 19748])).
% 5.00/4.51 tff(19752,plain,
% 5.00/4.51 (until5(s118)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7826, 19751])).
% 5.00/4.51 tff(19753,plain,
% 5.00/4.51 (~node4(s118)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7830, 113, 19584])).
% 5.00/4.51 tff(19754,plain,
% 5.00/4.51 (xuntil6(s118) | (~until5(s118))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7837, 225, 19753])).
% 5.00/4.51 tff(19755,plain,
% 5.00/4.51 (xuntil6(s118)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19754, 19752])).
% 5.00/4.51 tff(19756,plain,
% 5.00/4.51 (until5(s119)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7843, 19755])).
% 5.00/4.51 tff(19757,plain,
% 5.00/4.51 (~node4(s119)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7847, 113, 19583])).
% 5.00/4.51 tff(19758,plain,
% 5.00/4.51 (xuntil6(s119) | (~until5(s119))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7854, 225, 19757])).
% 5.00/4.51 tff(19759,plain,
% 5.00/4.51 (xuntil6(s119)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19758, 19756])).
% 5.00/4.51 tff(19760,plain,
% 5.00/4.51 (until5(s120)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7860, 19759])).
% 5.00/4.51 tff(19761,plain,
% 5.00/4.51 (~node4(s120)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7864, 113, 19582])).
% 5.00/4.51 tff(19762,plain,
% 5.00/4.51 (xuntil6(s120) | (~until5(s120))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7871, 225, 19761])).
% 5.00/4.51 tff(19763,plain,
% 5.00/4.51 (xuntil6(s120)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19762, 19760])).
% 5.00/4.51 tff(19764,plain,
% 5.00/4.51 (until5(s121)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7877, 19763])).
% 5.00/4.51 tff(19765,plain,
% 5.00/4.51 (~node4(s121)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7881, 113, 19581])).
% 5.00/4.51 tff(19766,plain,
% 5.00/4.51 (xuntil6(s121) | (~until5(s121))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7888, 225, 19765])).
% 5.00/4.51 tff(19767,plain,
% 5.00/4.51 (xuntil6(s121)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19766, 19764])).
% 5.00/4.51 tff(19768,plain,
% 5.00/4.51 (until5(s122)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7894, 19767])).
% 5.00/4.51 tff(19769,plain,
% 5.00/4.51 (~node4(s122)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7898, 113, 19580])).
% 5.00/4.51 tff(19770,plain,
% 5.00/4.51 (xuntil6(s122) | (~until5(s122))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7905, 225, 19769])).
% 5.00/4.51 tff(19771,plain,
% 5.00/4.51 (xuntil6(s122)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19770, 19768])).
% 5.00/4.51 tff(19772,plain,
% 5.00/4.51 (until5(s123)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7911, 19771])).
% 5.00/4.51 tff(19773,plain,
% 5.00/4.51 (~node4(s123)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7915, 113, 19579])).
% 5.00/4.51 tff(19774,plain,
% 5.00/4.51 (xuntil6(s123) | (~until5(s123))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7922, 225, 19773])).
% 5.00/4.51 tff(19775,plain,
% 5.00/4.51 (xuntil6(s123)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19774, 19772])).
% 5.00/4.51 tff(19776,plain,
% 5.00/4.51 (until5(s124)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7928, 19775])).
% 5.00/4.51 tff(19777,plain,
% 5.00/4.51 (~node4(s124)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7932, 113, 19578])).
% 5.00/4.51 tff(19778,plain,
% 5.00/4.51 (xuntil6(s124) | (~until5(s124))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7939, 225, 19777])).
% 5.00/4.51 tff(19779,plain,
% 5.00/4.51 (xuntil6(s124)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19778, 19776])).
% 5.00/4.51 tff(19780,plain,
% 5.00/4.51 (until5(s125)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7945, 19779])).
% 5.00/4.51 tff(19781,plain,
% 5.00/4.51 (~node4(s125)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7949, 113, 19577])).
% 5.00/4.51 tff(19782,plain,
% 5.00/4.51 (xuntil6(s125) | (~until5(s125))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7956, 225, 19781])).
% 5.00/4.51 tff(19783,plain,
% 5.00/4.51 (xuntil6(s125)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19782, 19780])).
% 5.00/4.51 tff(19784,plain,
% 5.00/4.51 (until5(s126)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7962, 19783])).
% 5.00/4.51 tff(19785,plain,
% 5.00/4.51 (~node4(s126)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7966, 113, 19576])).
% 5.00/4.51 tff(19786,plain,
% 5.00/4.51 (xuntil6(s126) | (~until5(s126))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7973, 225, 19785])).
% 5.00/4.51 tff(19787,plain,
% 5.00/4.51 (xuntil6(s126)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19786, 19784])).
% 5.00/4.51 tff(19788,plain,
% 5.00/4.51 (until5(s127)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7979, 19787])).
% 5.00/4.51 tff(19789,plain,
% 5.00/4.51 (~node4(s127)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7983, 113, 19575])).
% 5.00/4.51 tff(19790,plain,
% 5.00/4.51 (xuntil6(s127) | (~until5(s127))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7990, 225, 19789])).
% 5.00/4.51 tff(19791,plain,
% 5.00/4.51 (xuntil6(s127)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19790, 19788])).
% 5.00/4.51 tff(19792,plain,
% 5.00/4.51 (until5(s128)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7996, 19791])).
% 5.00/4.51 tff(19793,plain,
% 5.00/4.51 (~node4(s128)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5416, 113, 19574])).
% 5.00/4.51 tff(19794,plain,
% 5.00/4.51 (xuntil6(s128) | (~until5(s128))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5423, 225, 19793])).
% 5.00/4.51 tff(19795,plain,
% 5.00/4.51 (xuntil6(s128)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19794, 19792])).
% 5.00/4.51 tff(19796,plain,
% 5.00/4.51 (until5(s129)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5403, 19795])).
% 5.00/4.51 tff(19797,plain,
% 5.00/4.51 (~node4(s129)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5387, 113, 19573])).
% 5.00/4.51 tff(19798,plain,
% 5.00/4.51 (xuntil6(s129) | (~until5(s129))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5394, 225, 19797])).
% 5.00/4.51 tff(19799,plain,
% 5.00/4.51 (xuntil6(s129)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19798, 19796])).
% 5.00/4.51 tff(19800,plain,
% 5.00/4.51 (until5(s130)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5374, 19799])).
% 5.00/4.51 tff(19801,plain,
% 5.00/4.51 (~node4(s130)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5358, 113, 19572])).
% 5.00/4.51 tff(19802,plain,
% 5.00/4.51 (xuntil6(s130) | (~until5(s130))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5365, 225, 19801])).
% 5.00/4.51 tff(19803,plain,
% 5.00/4.51 (xuntil6(s130)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19802, 19800])).
% 5.00/4.51 tff(19804,plain,
% 5.00/4.51 (until5(s131)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5345, 19803])).
% 5.00/4.51 tff(19805,plain,
% 5.00/4.51 (~node4(s131)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5329, 113, 19571])).
% 5.00/4.51 tff(19806,plain,
% 5.00/4.51 (xuntil6(s131) | (~until5(s131))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5336, 225, 19805])).
% 5.00/4.51 tff(19807,plain,
% 5.00/4.51 (xuntil6(s131)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19806, 19804])).
% 5.00/4.51 tff(19808,plain,
% 5.00/4.51 (until5(s132)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5316, 19807])).
% 5.00/4.51 tff(19809,plain,
% 5.00/4.51 (~node4(s132)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5300, 113, 19570])).
% 5.00/4.51 tff(19810,plain,
% 5.00/4.51 (xuntil6(s132) | (~until5(s132))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5307, 225, 19809])).
% 5.00/4.51 tff(19811,plain,
% 5.00/4.51 (xuntil6(s132)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19810, 19808])).
% 5.00/4.51 tff(19812,plain,
% 5.00/4.51 (until5(s133)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5287, 19811])).
% 5.00/4.51 tff(19813,assumption,(~xuntil6(s133)), introduced(assumption)).
% 5.00/4.51 tff(19814,plain,
% 5.00/4.51 (node4(s133) | (~until5(s133))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5278, 225, 19813])).
% 5.00/4.51 tff(19815,plain,
% 5.00/4.51 (node4(s133)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19814, 19812])).
% 5.00/4.51 tff(19816,plain,
% 5.00/4.51 ($false),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5271, 113, 19569, 19815])).
% 5.00/4.51 tff(19817,plain,(always3(s133) | xuntil6(s133)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.51 tff(19818,plain,
% 5.00/4.51 (always3(s133)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19817, 19568])).
% 5.00/4.51 tff(19819,plain,
% 5.00/4.51 (~m_main_v_state(s133, c_busy)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[18860, 145, 19818])).
% 5.00/4.51 tff(19820,plain,
% 5.00/4.51 (((~![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))),
% 5.00/4.51 inference(rewrite,[status(thm)],[])).
% 5.00/4.51 tff(19821,plain,
% 5.00/4.51 ((~![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))),
% 5.00/4.51 inference(quant_inst,[status(thm)],[])).
% 5.00/4.51 tff(19822,plain,
% 5.00/4.51 ((~![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)),
% 5.00/4.51 inference(modus_ponens,[status(thm)],[19821, 19820])).
% 5.00/4.51 tff(19823,plain,
% 5.00/4.51 (m_main_v_state(s133, c_ready)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19822, 188, 19819])).
% 5.00/4.51 tff(19824,plain,
% 5.00/4.51 (((~![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))),
% 5.00/4.51 inference(rewrite,[status(thm)],[])).
% 5.00/4.51 tff(19825,plain,
% 5.00/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s133, s134)) | node2(s133, s134))),
% 5.00/4.51 inference(quant_inst,[status(thm)],[])).
% 5.00/4.51 tff(19826,plain,
% 5.00/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s133, s134)) | node2(s133, s134)),
% 5.00/4.51 inference(modus_ponens,[status(thm)],[19825, 19824])).
% 5.00/4.51 tff(19827,plain,
% 5.00/4.51 (node2(s133, s134)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19826, 7, 5263])).
% 5.00/4.51 tff(19828,plain,
% 5.00/4.51 (((~![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(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)))),
% 5.00/4.51 inference(rewrite,[status(thm)],[])).
% 5.00/4.51 tff(19829,plain,
% 5.00/4.51 ((~![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(s133, c_ready)) | (~node2(s133, s134)) | m_main_v_state(s134, c_busy) | (~m_main_v_request(s133)))),
% 5.00/4.51 inference(quant_inst,[status(thm)],[])).
% 5.00/4.51 tff(19830,plain,
% 5.00/4.51 ((~![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(s133, c_ready)) | (~node2(s133, s134)) | m_main_v_state(s134, c_busy) | (~m_main_v_request(s133))),
% 5.00/4.51 inference(modus_ponens,[status(thm)],[19829, 19828])).
% 5.00/4.51 tff(19831,plain,
% 5.00/4.51 ((~m_main_v_state(s133, c_ready)) | m_main_v_state(s134, c_busy) | (~m_main_v_request(s133))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19830, 166, 19827])).
% 5.00/4.51 tff(19832,plain,
% 5.00/4.51 (~m_main_v_request(s133)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19831, 19823, 19549])).
% 5.00/4.51 tff(19833,plain,
% 5.00/4.51 (((~![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)))),
% 5.00/4.51 inference(rewrite,[status(thm)],[])).
% 5.00/4.51 tff(19834,plain,
% 5.00/4.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s133) | (~node4(s133)))),
% 5.00/4.51 inference(quant_inst,[status(thm)],[])).
% 5.00/4.51 tff(19835,plain,
% 5.00/4.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s133) | (~node4(s133))),
% 5.00/4.51 inference(modus_ponens,[status(thm)],[19834, 19833])).
% 5.00/4.51 tff(19836,plain,
% 5.00/4.51 (~node4(s133)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19835, 63, 19832])).
% 5.00/4.51 tff(19837,plain,
% 5.00/4.51 (node4(s133) | (~until5(s133))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5278, 225, 19568])).
% 5.00/4.51 tff(19838,plain,
% 5.00/4.51 (~until5(s133)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19837, 19836])).
% 5.00/4.51 tff(19839,plain,
% 5.00/4.51 (~xuntil6(s132)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5287, 19838])).
% 5.00/4.51 tff(19840,plain,
% 5.00/4.51 (always3(s132)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[18852, 19839, 18146])).
% 5.00/4.51 tff(19841,plain,
% 5.00/4.51 (~m_main_v_state(s132, c_busy)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[18867, 145, 19840])).
% 5.00/4.51 tff(19842,plain,
% 5.00/4.51 (m_main_v_state(s132, c_ready)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[18871, 188, 19841])).
% 5.00/4.51 tff(19843,plain,
% 5.00/4.51 (xuntil6(s131)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19261, 19841, 18873])).
% 5.00/4.51 tff(19844,plain,
% 5.00/4.51 (until5(s132)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5316, 19843])).
% 5.00/4.51 tff(19845,plain,
% 5.00/4.51 (node4(s132) | (~until5(s132))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5307, 225, 19839])).
% 5.00/4.51 tff(19846,plain,
% 5.00/4.51 (node4(s132)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19845, 19844])).
% 5.00/4.51 tff(19847,plain,
% 5.00/4.51 (m_main_v_request(s132)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19267, 63, 19846])).
% 5.00/4.51 tff(19848,plain,
% 5.00/4.51 ($false),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19276, 19847, 19842, 19819])).
% 5.00/4.51 tff(19849,plain,(xuntil6(s134) | (~until5(s123)) | (~until5(s111))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.51 tff(19850,plain,
% 5.00/4.51 (xuntil6(s134)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19849, 18743, 18146])).
% 5.00/4.51 tff(19851,plain,
% 5.00/4.51 (until5(s135)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5229, 19850])).
% 5.00/4.51 tff(19852,assumption,(~xuntil6(s137)), introduced(assumption)).
% 5.00/4.51 tff(19853,assumption,(~always3(s137)), introduced(assumption)).
% 5.00/4.51 tff(19854,plain,
% 5.00/4.51 (~always3(s136)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5180, 19853])).
% 5.00/4.51 tff(19855,plain,
% 5.00/4.51 (~node4(s136)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5184, 113, 19854])).
% 5.00/4.51 tff(19856,plain,
% 5.00/4.51 (~node4(s137)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5155, 113, 19853])).
% 5.00/4.51 tff(19857,plain,
% 5.00/4.51 (node4(s137) | (~until5(s137))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5162, 225, 19852])).
% 5.00/4.51 tff(19858,plain,
% 5.00/4.51 (~until5(s137)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19857, 19856])).
% 5.00/4.51 tff(19859,plain,
% 5.00/4.51 (~xuntil6(s136)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5171, 19858])).
% 5.00/4.51 tff(19860,plain,
% 5.00/4.51 (~until5(s136)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5191, 225, 19859, 19855])).
% 5.00/4.51 tff(19861,plain,
% 5.00/4.51 (~xuntil6(s135)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5200, 19860])).
% 5.00/4.51 tff(19862,plain,
% 5.00/4.51 (~always3(s135)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5209, 19854])).
% 5.00/4.51 tff(19863,plain,
% 5.00/4.51 (~node4(s135)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5213, 113, 19862])).
% 5.00/4.51 tff(19864,plain,
% 5.00/4.51 (xuntil6(s135) | (~until5(s135))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5220, 225, 19863])).
% 5.00/4.51 tff(19865,plain,
% 5.00/4.51 (~until5(s135)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19864, 19861])).
% 5.00/4.51 tff(19866,plain,
% 5.00/4.51 (~xuntil6(s134)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5229, 19865])).
% 5.00/4.51 tff(19867,plain,
% 5.00/4.51 (~always3(s134)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5238, 19862])).
% 5.00/4.51 tff(19868,plain,
% 5.00/4.51 (~node4(s134)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5242, 113, 19867])).
% 5.00/4.51 tff(19869,plain,
% 5.00/4.51 (xuntil6(s134) | (~until5(s134))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5249, 225, 19868])).
% 5.00/4.51 tff(19870,plain,
% 5.00/4.51 (~until5(s134)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19869, 19866])).
% 5.00/4.51 tff(19871,plain,
% 5.00/4.51 (~xuntil6(s133)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5258, 19870])).
% 5.00/4.51 tff(19872,plain,
% 5.00/4.51 (~always3(s133)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5267, 19867])).
% 5.00/4.51 tff(19873,plain,
% 5.00/4.51 (~node4(s133)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5271, 113, 19872])).
% 5.00/4.51 tff(19874,plain,
% 5.00/4.51 (xuntil6(s133) | (~until5(s133))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5278, 225, 19873])).
% 5.00/4.51 tff(19875,plain,
% 5.00/4.51 (~until5(s133)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19874, 19871])).
% 5.00/4.51 tff(19876,plain,
% 5.00/4.51 (~xuntil6(s132)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5287, 19875])).
% 5.00/4.51 tff(19877,plain,
% 5.00/4.51 (~always3(s132)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5296, 19872])).
% 5.00/4.51 tff(19878,plain,
% 5.00/4.51 (~node4(s132)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5300, 113, 19877])).
% 5.00/4.51 tff(19879,plain,
% 5.00/4.51 (xuntil6(s132) | (~until5(s132))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5307, 225, 19878])).
% 5.00/4.51 tff(19880,plain,
% 5.00/4.51 (~until5(s132)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19879, 19876])).
% 5.00/4.51 tff(19881,plain,
% 5.00/4.51 (~xuntil6(s131)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5316, 19880])).
% 5.00/4.51 tff(19882,plain,
% 5.00/4.51 (~always3(s131)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5325, 19877])).
% 5.00/4.51 tff(19883,plain,
% 5.00/4.51 (~node4(s131)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5329, 113, 19882])).
% 5.00/4.51 tff(19884,plain,
% 5.00/4.51 (xuntil6(s131) | (~until5(s131))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5336, 225, 19883])).
% 5.00/4.51 tff(19885,plain,
% 5.00/4.51 (~until5(s131)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19884, 19881])).
% 5.00/4.51 tff(19886,plain,
% 5.00/4.51 (~xuntil6(s130)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5345, 19885])).
% 5.00/4.51 tff(19887,plain,
% 5.00/4.51 (~always3(s130)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5354, 19882])).
% 5.00/4.51 tff(19888,plain,
% 5.00/4.51 (~node4(s130)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5358, 113, 19887])).
% 5.00/4.51 tff(19889,plain,
% 5.00/4.51 (xuntil6(s130) | (~until5(s130))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5365, 225, 19888])).
% 5.00/4.51 tff(19890,plain,
% 5.00/4.51 (~until5(s130)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19889, 19886])).
% 5.00/4.51 tff(19891,plain,
% 5.00/4.51 (~xuntil6(s129)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5374, 19890])).
% 5.00/4.51 tff(19892,plain,
% 5.00/4.51 (~always3(s129)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5383, 19887])).
% 5.00/4.51 tff(19893,plain,
% 5.00/4.51 (~node4(s129)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5387, 113, 19892])).
% 5.00/4.51 tff(19894,plain,
% 5.00/4.51 (xuntil6(s129) | (~until5(s129))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5394, 225, 19893])).
% 5.00/4.51 tff(19895,plain,
% 5.00/4.51 (~until5(s129)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19894, 19891])).
% 5.00/4.51 tff(19896,plain,
% 5.00/4.51 (~xuntil6(s128)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5403, 19895])).
% 5.00/4.51 tff(19897,plain,
% 5.00/4.51 (~always3(s128)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5412, 19892])).
% 5.00/4.51 tff(19898,plain,
% 5.00/4.51 (~node4(s128)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5416, 113, 19897])).
% 5.00/4.51 tff(19899,plain,
% 5.00/4.51 (xuntil6(s128) | (~until5(s128))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5423, 225, 19898])).
% 5.00/4.51 tff(19900,plain,
% 5.00/4.51 (~until5(s128)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19899, 19896])).
% 5.00/4.51 tff(19901,plain,
% 5.00/4.51 (~xuntil6(s127)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7996, 19900])).
% 5.00/4.51 tff(19902,plain,
% 5.00/4.51 (~always3(s127)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5436, 19897])).
% 5.00/4.51 tff(19903,plain,
% 5.00/4.51 (~node4(s127)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7983, 113, 19902])).
% 5.00/4.51 tff(19904,plain,
% 5.00/4.51 (xuntil6(s127) | (~until5(s127))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7990, 225, 19903])).
% 5.00/4.51 tff(19905,plain,
% 5.00/4.51 (~until5(s127)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19904, 19901])).
% 5.00/4.51 tff(19906,plain,
% 5.00/4.51 (~xuntil6(s126)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7979, 19905])).
% 5.00/4.51 tff(19907,plain,
% 5.00/4.51 (~always3(s126)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5448, 19902])).
% 5.00/4.51 tff(19908,plain,
% 5.00/4.51 (~node4(s126)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7966, 113, 19907])).
% 5.00/4.51 tff(19909,plain,
% 5.00/4.51 (xuntil6(s126) | (~until5(s126))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7973, 225, 19908])).
% 5.00/4.51 tff(19910,plain,
% 5.00/4.51 (~until5(s126)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19909, 19906])).
% 5.00/4.51 tff(19911,plain,
% 5.00/4.51 (~xuntil6(s125)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7962, 19910])).
% 5.00/4.51 tff(19912,plain,
% 5.00/4.51 (~always3(s125)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5460, 19907])).
% 5.00/4.51 tff(19913,plain,
% 5.00/4.51 (~node4(s125)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7949, 113, 19912])).
% 5.00/4.51 tff(19914,plain,
% 5.00/4.51 (xuntil6(s125) | (~until5(s125))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7956, 225, 19913])).
% 5.00/4.51 tff(19915,plain,
% 5.00/4.51 (~until5(s125)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19914, 19911])).
% 5.00/4.51 tff(19916,plain,
% 5.00/4.51 (~xuntil6(s124)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7945, 19915])).
% 5.00/4.51 tff(19917,plain,
% 5.00/4.51 (~always3(s124)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5472, 19912])).
% 5.00/4.51 tff(19918,plain,
% 5.00/4.51 (~node4(s124)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7932, 113, 19917])).
% 5.00/4.51 tff(19919,plain,
% 5.00/4.51 (xuntil6(s124) | (~until5(s124))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7939, 225, 19918])).
% 5.00/4.51 tff(19920,plain,
% 5.00/4.51 (~until5(s124)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19919, 19916])).
% 5.00/4.51 tff(19921,plain,
% 5.00/4.51 (~xuntil6(s123)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7928, 19920])).
% 5.00/4.51 tff(19922,plain,
% 5.00/4.51 (~always3(s123)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5484, 19917])).
% 5.00/4.51 tff(19923,plain,
% 5.00/4.51 (~node4(s123)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7915, 113, 19922])).
% 5.00/4.51 tff(19924,plain,
% 5.00/4.51 (xuntil6(s123) | (~until5(s123))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7922, 225, 19923])).
% 5.00/4.51 tff(19925,plain,
% 5.00/4.51 (~until5(s123)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19924, 19921])).
% 5.00/4.51 tff(19926,plain,
% 5.00/4.51 (~xuntil6(s122)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7911, 19925])).
% 5.00/4.51 tff(19927,plain,
% 5.00/4.51 (~always3(s122)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5496, 19922])).
% 5.00/4.51 tff(19928,plain,
% 5.00/4.51 (~node4(s122)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7898, 113, 19927])).
% 5.00/4.51 tff(19929,plain,
% 5.00/4.51 (xuntil6(s122) | (~until5(s122))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7905, 225, 19928])).
% 5.00/4.51 tff(19930,plain,
% 5.00/4.51 (~until5(s122)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19929, 19926])).
% 5.00/4.51 tff(19931,plain,
% 5.00/4.51 (~xuntil6(s121)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7894, 19930])).
% 5.00/4.51 tff(19932,plain,
% 5.00/4.51 (~always3(s121)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5508, 19927])).
% 5.00/4.51 tff(19933,plain,
% 5.00/4.51 (~node4(s121)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7881, 113, 19932])).
% 5.00/4.51 tff(19934,plain,
% 5.00/4.51 (xuntil6(s121) | (~until5(s121))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7888, 225, 19933])).
% 5.00/4.51 tff(19935,plain,
% 5.00/4.51 (~until5(s121)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[19934, 19931])).
% 5.00/4.51 tff(19936,plain,
% 5.00/4.51 (~xuntil6(s120)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7877, 19935])).
% 5.00/4.51 tff(19937,plain,
% 5.00/4.51 (~always3(s120)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5520, 19932])).
% 5.00/4.51 tff(19938,plain,
% 5.00/4.51 (~always3(s119)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5532, 19937])).
% 5.00/4.51 tff(19939,plain,
% 5.00/4.51 (~always3(s118)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5544, 19938])).
% 5.00/4.51 tff(19940,plain,
% 5.00/4.51 (~always3(s117)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5556, 19939])).
% 5.00/4.51 tff(19941,plain,
% 5.00/4.51 (~always3(s116)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5568, 19940])).
% 5.00/4.51 tff(19942,plain,
% 5.00/4.51 (~always3(s115)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5580, 19941])).
% 5.00/4.51 tff(19943,plain,
% 5.00/4.51 (~always3(s114)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5592, 19942])).
% 5.00/4.51 tff(19944,plain,
% 5.00/4.51 (~always3(s113)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5604, 19943])).
% 5.00/4.51 tff(19945,plain,
% 5.00/4.51 (~always3(s112)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5616, 19944])).
% 5.00/4.51 tff(19946,plain,
% 5.00/4.51 (~always3(s111)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5628, 19945])).
% 5.00/4.51 tff(19947,plain,
% 5.00/4.51 (~always3(s110)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5640, 19946])).
% 5.00/4.51 tff(19948,plain,
% 5.00/4.51 (~always3(s109)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5652, 19947])).
% 5.00/4.51 tff(19949,plain,
% 5.00/4.51 (~always3(s108)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5664, 19948])).
% 5.00/4.51 tff(19950,plain,
% 5.00/4.51 (~always3(s107)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5676, 19949])).
% 5.00/4.51 tff(19951,plain,
% 5.00/4.51 (~always3(s106)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5688, 19950])).
% 5.00/4.51 tff(19952,plain,
% 5.00/4.51 (~always3(s105)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5700, 19951])).
% 5.00/4.51 tff(19953,plain,
% 5.00/4.51 (~always3(s104)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5712, 19952])).
% 5.00/4.51 tff(19954,plain,
% 5.00/4.51 (~node4(s104)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5716, 113, 19953])).
% 5.00/4.51 tff(19955,plain,
% 5.00/4.51 (~always3(s103)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5728, 19953])).
% 5.00/4.51 tff(19956,plain,
% 5.00/4.51 (~always3(s102)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5740, 19955])).
% 5.00/4.51 tff(19957,plain,
% 5.00/4.51 (~always3(s101)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5752, 19956])).
% 5.00/4.51 tff(19958,plain,
% 5.00/4.51 (~always3(s100)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5764, 19957])).
% 5.00/4.51 tff(19959,plain,
% 5.00/4.51 (~always3(s99)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5776, 19958])).
% 5.00/4.51 tff(19960,plain,
% 5.00/4.51 (~always3(s98)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5788, 19959])).
% 5.00/4.51 tff(19961,plain,
% 5.00/4.51 (~always3(s97)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5800, 19960])).
% 5.00/4.51 tff(19962,plain,
% 5.00/4.51 (~always3(s96)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5812, 19961])).
% 5.00/4.51 tff(19963,plain,
% 5.00/4.51 (~always3(s95)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5824, 19962])).
% 5.00/4.51 tff(19964,plain,
% 5.00/4.51 (~always3(s94)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5836, 19963])).
% 5.00/4.51 tff(19965,plain,
% 5.00/4.51 (~always3(s93)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5848, 19964])).
% 5.00/4.51 tff(19966,plain,
% 5.00/4.51 (~always3(s92)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5860, 19965])).
% 5.00/4.51 tff(19967,plain,
% 5.00/4.51 (~always3(s91)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5872, 19966])).
% 5.00/4.51 tff(19968,plain,
% 5.00/4.51 (~always3(s90)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5884, 19967])).
% 5.00/4.51 tff(19969,plain,
% 5.00/4.51 (~always3(s89)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5896, 19968])).
% 5.00/4.51 tff(19970,plain,
% 5.00/4.51 (~always3(s88)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5908, 19969])).
% 5.00/4.51 tff(19971,plain,
% 5.00/4.51 (~always3(s87)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5920, 19970])).
% 5.00/4.51 tff(19972,plain,
% 5.00/4.51 (~always3(s86)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5932, 19971])).
% 5.00/4.51 tff(19973,plain,
% 5.00/4.51 (~always3(s85)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5944, 19972])).
% 5.00/4.51 tff(19974,plain,
% 5.00/4.51 (~always3(s84)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5956, 19973])).
% 5.00/4.51 tff(19975,plain,
% 5.00/4.51 (~always3(s83)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5968, 19974])).
% 5.00/4.51 tff(19976,plain,
% 5.00/4.51 (~always3(s82)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5980, 19975])).
% 5.00/4.51 tff(19977,plain,
% 5.00/4.51 (~always3(s81)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5992, 19976])).
% 5.00/4.51 tff(19978,plain,
% 5.00/4.51 (~always3(s80)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6004, 19977])).
% 5.00/4.51 tff(19979,plain,
% 5.00/4.51 (~always3(s79)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6016, 19978])).
% 5.00/4.51 tff(19980,plain,
% 5.00/4.51 (~always3(s78)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6028, 19979])).
% 5.00/4.51 tff(19981,plain,
% 5.00/4.51 (~always3(s77)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6040, 19980])).
% 5.00/4.51 tff(19982,plain,
% 5.00/4.51 (~always3(s76)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6052, 19981])).
% 5.00/4.51 tff(19983,plain,
% 5.00/4.51 (~always3(s75)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6064, 19982])).
% 5.00/4.51 tff(19984,plain,
% 5.00/4.51 (~always3(s74)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6076, 19983])).
% 5.00/4.51 tff(19985,plain,
% 5.00/4.51 (~always3(s73)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6088, 19984])).
% 5.00/4.51 tff(19986,plain,
% 5.00/4.51 (~always3(s72)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6100, 19985])).
% 5.00/4.51 tff(19987,plain,
% 5.00/4.51 (~always3(s71)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6112, 19986])).
% 5.00/4.51 tff(19988,plain,
% 5.00/4.51 (~always3(s70)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6124, 19987])).
% 5.00/4.51 tff(19989,plain,
% 5.00/4.51 (~always3(s69)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6136, 19988])).
% 5.00/4.51 tff(19990,plain,
% 5.00/4.51 (~always3(s68)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6148, 19989])).
% 5.00/4.51 tff(19991,plain,
% 5.00/4.51 (~always3(s67)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6160, 19990])).
% 5.00/4.51 tff(19992,plain,
% 5.00/4.51 (~always3(s66)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6172, 19991])).
% 5.00/4.51 tff(19993,plain,
% 5.00/4.51 (~always3(s65)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6184, 19992])).
% 5.00/4.51 tff(19994,plain,
% 5.00/4.51 (~always3(s64)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6196, 19993])).
% 5.00/4.51 tff(19995,plain,
% 5.00/4.51 (~always3(s63)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6208, 19994])).
% 5.00/4.51 tff(19996,plain,
% 5.00/4.51 (~always3(s62)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6220, 19995])).
% 5.00/4.51 tff(19997,plain,
% 5.00/4.51 (~always3(s61)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6232, 19996])).
% 5.00/4.51 tff(19998,plain,
% 5.00/4.51 (~always3(s60)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6244, 19997])).
% 5.00/4.51 tff(19999,plain,
% 5.00/4.51 (~always3(s59)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6256, 19998])).
% 5.00/4.51 tff(20000,plain,
% 5.00/4.51 (~always3(s58)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6268, 19999])).
% 5.00/4.51 tff(20001,plain,
% 5.00/4.51 (~always3(s57)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6280, 20000])).
% 5.00/4.51 tff(20002,plain,
% 5.00/4.51 (~always3(s56)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6292, 20001])).
% 5.00/4.51 tff(20003,plain,
% 5.00/4.51 (~always3(s55)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6304, 20002])).
% 5.00/4.51 tff(20004,plain,
% 5.00/4.51 (~always3(s54)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6316, 20003])).
% 5.00/4.51 tff(20005,plain,
% 5.00/4.51 (~always3(s53)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6328, 20004])).
% 5.00/4.51 tff(20006,plain,
% 5.00/4.51 (~always3(s52)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6340, 20005])).
% 5.00/4.51 tff(20007,plain,
% 5.00/4.51 (~always3(s51)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6352, 20006])).
% 5.00/4.51 tff(20008,plain,
% 5.00/4.51 (~always3(s50)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6364, 20007])).
% 5.00/4.51 tff(20009,plain,
% 5.00/4.51 (~always3(s49)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6376, 20008])).
% 5.00/4.51 tff(20010,plain,
% 5.00/4.51 (~always3(s48)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6388, 20009])).
% 5.00/4.51 tff(20011,plain,
% 5.00/4.51 (~always3(s47)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6400, 20010])).
% 5.00/4.51 tff(20012,plain,
% 5.00/4.51 (~always3(s46)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6412, 20011])).
% 5.00/4.51 tff(20013,plain,
% 5.00/4.51 (~always3(s45)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6424, 20012])).
% 5.00/4.51 tff(20014,plain,
% 5.00/4.51 (~always3(s44)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[6436, 20013])).
% 5.00/4.51 tff(20015,plain,
% 5.00/4.51 (~always3(s43)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[81, 20014])).
% 5.00/4.51 tff(20016,plain,
% 5.00/4.51 (~always3(s42)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[93, 20015])).
% 5.00/4.51 tff(20017,plain,
% 5.00/4.51 (~always3(s41)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[105, 20016])).
% 5.00/4.51 tff(20018,plain,
% 5.00/4.51 (~always3(s40)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[137, 20017])).
% 5.00/4.51 tff(20019,plain,
% 5.00/4.51 (~always3(s39)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[3143, 20018])).
% 5.00/4.51 tff(20020,plain,
% 5.00/4.51 (~always3(s38)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[2699, 20019])).
% 5.00/4.51 tff(20021,plain,
% 5.00/4.51 (~node4(s38)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[2678, 113, 20020])).
% 5.00/4.51 tff(20022,plain,
% 5.00/4.51 (~always3(s37)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[2375, 20020])).
% 5.00/4.51 tff(20023,plain,
% 5.00/4.51 (~always3(s36)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[2387, 20022])).
% 5.00/4.51 tff(20024,plain,
% 5.00/4.51 (~always3(s35)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[2399, 20023])).
% 5.00/4.51 tff(20025,plain,
% 5.00/4.51 (~always3(s34)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[2411, 20024])).
% 5.00/4.51 tff(20026,plain,
% 5.00/4.51 (~always3(s33)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[2423, 20025])).
% 5.00/4.51 tff(20027,plain,
% 5.00/4.51 (~always3(s32)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[2435, 20026])).
% 5.00/4.51 tff(20028,plain,
% 5.00/4.51 (~always3(s31)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[2447, 20027])).
% 5.00/4.51 tff(20029,plain,
% 5.00/4.51 (~always3(s30)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[2326, 20028])).
% 5.00/4.51 tff(20030,plain,
% 5.00/4.51 (~always3(s29)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[2229, 20029])).
% 5.00/4.51 tff(20031,plain,
% 5.00/4.51 (~always3(s28)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[2173, 20030])).
% 5.00/4.51 tff(20032,plain,
% 5.00/4.51 (~always3(s27)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[2081, 20031])).
% 5.00/4.51 tff(20033,plain,
% 5.00/4.51 (~always3(s26)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[1993, 20032])).
% 5.00/4.51 tff(20034,plain,
% 5.00/4.51 (~always3(s25)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[1873, 20033])).
% 5.00/4.51 tff(20035,plain,
% 5.00/4.51 (~always3(s24)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[1771, 20034])).
% 5.00/4.51 tff(20036,plain,
% 5.00/4.51 (~always3(s23)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[1816, 20035])).
% 5.00/4.51 tff(20037,plain,
% 5.00/4.51 (~always3(s22)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[1557, 20036])).
% 5.00/4.51 tff(20038,plain,
% 5.00/4.51 (~always3(s21)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[1306, 20037])).
% 5.00/4.51 tff(20039,plain,
% 5.00/4.51 (~always3(s20)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[1351, 20038])).
% 5.00/4.51 tff(20040,plain,
% 5.00/4.51 (~always3(s19)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[1363, 20039])).
% 5.00/4.51 tff(20041,plain,
% 5.00/4.51 (~always3(s18)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[1379, 20040])).
% 5.00/4.51 tff(20042,plain,
% 5.00/4.51 (~always3(s17)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[1395, 20041])).
% 5.00/4.51 tff(20043,plain,
% 5.00/4.51 (~always3(s16)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[1407, 20042])).
% 5.00/4.51 tff(20044,plain,
% 5.00/4.51 (~always3(s15)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[654, 20043])).
% 5.00/4.51 tff(20045,plain,
% 5.00/4.51 (xuntil6(s15)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[642, 20044])).
% 5.00/4.51 tff(20046,plain,
% 5.00/4.51 (until5(s16)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[1292, 20045])).
% 5.00/4.51 tff(20047,plain,
% 5.00/4.51 (xuntil6(s37)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[2661, 20046, 20022])).
% 5.00/4.51 tff(20048,plain,
% 5.00/4.51 (until5(s38)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[2666, 20047])).
% 5.00/4.51 tff(20049,plain,
% 5.00/4.51 (xuntil6(s38) | node4(s38)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[2673, 225, 20048])).
% 5.00/4.51 tff(20050,plain,
% 5.00/4.51 (xuntil6(s38)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20049, 20021])).
% 5.00/4.51 tff(20051,plain,
% 5.00/4.51 (until5(s39)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[3122, 20050])).
% 5.00/4.51 tff(20052,plain,
% 5.00/4.51 (xuntil6(s103)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7588, 20051, 19955])).
% 5.00/4.51 tff(20053,plain,
% 5.00/4.51 (until5(s104)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7593, 20052])).
% 5.00/4.51 tff(20054,plain,
% 5.00/4.51 (xuntil6(s104)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7600, 225, 20053, 19954])).
% 5.00/4.51 tff(20055,plain,
% 5.00/4.51 (until5(s105)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7605, 20054])).
% 5.00/4.51 tff(20056,plain,
% 5.00/4.51 (~node4(s105)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7609, 113, 19952])).
% 5.00/4.51 tff(20057,plain,
% 5.00/4.51 (xuntil6(s105) | (~until5(s105))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7616, 225, 20056])).
% 5.00/4.51 tff(20058,plain,
% 5.00/4.51 (xuntil6(s105)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20057, 20055])).
% 5.00/4.51 tff(20059,plain,
% 5.00/4.51 (until5(s106)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7622, 20058])).
% 5.00/4.51 tff(20060,plain,
% 5.00/4.51 (~node4(s106)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7626, 113, 19951])).
% 5.00/4.51 tff(20061,plain,
% 5.00/4.51 (xuntil6(s106) | (~until5(s106))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7633, 225, 20060])).
% 5.00/4.51 tff(20062,plain,
% 5.00/4.51 (xuntil6(s106)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20061, 20059])).
% 5.00/4.51 tff(20063,plain,
% 5.00/4.51 (until5(s107)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7639, 20062])).
% 5.00/4.51 tff(20064,plain,
% 5.00/4.51 (~node4(s107)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7643, 113, 19950])).
% 5.00/4.51 tff(20065,plain,
% 5.00/4.51 (xuntil6(s107) | (~until5(s107))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7650, 225, 20064])).
% 5.00/4.51 tff(20066,plain,
% 5.00/4.51 (xuntil6(s107)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20065, 20063])).
% 5.00/4.51 tff(20067,plain,
% 5.00/4.51 (until5(s108)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7656, 20066])).
% 5.00/4.51 tff(20068,plain,
% 5.00/4.51 (~node4(s108)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7660, 113, 19949])).
% 5.00/4.51 tff(20069,plain,
% 5.00/4.51 (xuntil6(s108) | (~until5(s108))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7667, 225, 20068])).
% 5.00/4.51 tff(20070,plain,
% 5.00/4.51 (xuntil6(s108)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20069, 20067])).
% 5.00/4.51 tff(20071,plain,
% 5.00/4.51 (until5(s109)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7673, 20070])).
% 5.00/4.51 tff(20072,plain,
% 5.00/4.51 (~node4(s109)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7677, 113, 19948])).
% 5.00/4.51 tff(20073,plain,
% 5.00/4.51 (xuntil6(s109) | (~until5(s109))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7684, 225, 20072])).
% 5.00/4.51 tff(20074,plain,
% 5.00/4.51 (xuntil6(s109)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20073, 20071])).
% 5.00/4.51 tff(20075,plain,
% 5.00/4.51 (until5(s110)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7690, 20074])).
% 5.00/4.51 tff(20076,plain,
% 5.00/4.51 (~node4(s110)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7694, 113, 19947])).
% 5.00/4.51 tff(20077,plain,
% 5.00/4.51 (xuntil6(s110) | (~until5(s110))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7701, 225, 20076])).
% 5.00/4.51 tff(20078,plain,
% 5.00/4.51 (xuntil6(s110)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20077, 20075])).
% 5.00/4.51 tff(20079,plain,
% 5.00/4.51 (until5(s111)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7707, 20078])).
% 5.00/4.51 tff(20080,plain,
% 5.00/4.51 (~node4(s111)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7711, 113, 19946])).
% 5.00/4.51 tff(20081,plain,
% 5.00/4.51 (xuntil6(s111) | (~until5(s111))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7718, 225, 20080])).
% 5.00/4.51 tff(20082,plain,
% 5.00/4.51 (xuntil6(s111)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20081, 20079])).
% 5.00/4.51 tff(20083,plain,
% 5.00/4.51 (until5(s112)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7724, 20082])).
% 5.00/4.51 tff(20084,plain,
% 5.00/4.51 (~node4(s112)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7728, 113, 19945])).
% 5.00/4.51 tff(20085,plain,
% 5.00/4.51 (xuntil6(s112) | (~until5(s112))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7735, 225, 20084])).
% 5.00/4.51 tff(20086,plain,
% 5.00/4.51 (xuntil6(s112)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20085, 20083])).
% 5.00/4.51 tff(20087,plain,
% 5.00/4.51 (until5(s113)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7741, 20086])).
% 5.00/4.51 tff(20088,plain,
% 5.00/4.51 (~node4(s113)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7745, 113, 19944])).
% 5.00/4.51 tff(20089,plain,
% 5.00/4.51 (xuntil6(s113) | (~until5(s113))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7752, 225, 20088])).
% 5.00/4.51 tff(20090,plain,
% 5.00/4.51 (xuntil6(s113)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20089, 20087])).
% 5.00/4.51 tff(20091,plain,
% 5.00/4.51 (until5(s114)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7758, 20090])).
% 5.00/4.51 tff(20092,plain,
% 5.00/4.51 (~node4(s114)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7762, 113, 19943])).
% 5.00/4.51 tff(20093,plain,
% 5.00/4.51 (xuntil6(s114) | (~until5(s114))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7769, 225, 20092])).
% 5.00/4.51 tff(20094,plain,
% 5.00/4.51 (xuntil6(s114)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20093, 20091])).
% 5.00/4.51 tff(20095,plain,
% 5.00/4.51 (until5(s115)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7775, 20094])).
% 5.00/4.51 tff(20096,plain,
% 5.00/4.51 (~node4(s115)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7779, 113, 19942])).
% 5.00/4.51 tff(20097,plain,
% 5.00/4.51 (xuntil6(s115) | (~until5(s115))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7786, 225, 20096])).
% 5.00/4.51 tff(20098,plain,
% 5.00/4.51 (xuntil6(s115)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20097, 20095])).
% 5.00/4.51 tff(20099,plain,
% 5.00/4.51 (until5(s116)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7792, 20098])).
% 5.00/4.51 tff(20100,plain,
% 5.00/4.51 (~node4(s116)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7796, 113, 19941])).
% 5.00/4.51 tff(20101,plain,
% 5.00/4.51 (xuntil6(s116) | (~until5(s116))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7803, 225, 20100])).
% 5.00/4.51 tff(20102,plain,
% 5.00/4.51 (xuntil6(s116)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20101, 20099])).
% 5.00/4.51 tff(20103,plain,
% 5.00/4.51 (until5(s117)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7809, 20102])).
% 5.00/4.51 tff(20104,plain,
% 5.00/4.51 (~node4(s117)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7813, 113, 19940])).
% 5.00/4.51 tff(20105,plain,
% 5.00/4.51 (xuntil6(s117) | (~until5(s117))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7820, 225, 20104])).
% 5.00/4.51 tff(20106,plain,
% 5.00/4.51 (xuntil6(s117)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20105, 20103])).
% 5.00/4.51 tff(20107,plain,
% 5.00/4.51 (until5(s118)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7826, 20106])).
% 5.00/4.51 tff(20108,plain,
% 5.00/4.51 (~node4(s118)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7830, 113, 19939])).
% 5.00/4.51 tff(20109,plain,
% 5.00/4.51 (xuntil6(s118) | (~until5(s118))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7837, 225, 20108])).
% 5.00/4.51 tff(20110,plain,
% 5.00/4.51 (xuntil6(s118)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20109, 20107])).
% 5.00/4.51 tff(20111,plain,
% 5.00/4.51 (until5(s119)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7843, 20110])).
% 5.00/4.51 tff(20112,plain,
% 5.00/4.51 (~node4(s119)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7847, 113, 19938])).
% 5.00/4.51 tff(20113,plain,
% 5.00/4.51 (xuntil6(s119) | (~until5(s119))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7854, 225, 20112])).
% 5.00/4.51 tff(20114,plain,
% 5.00/4.51 (xuntil6(s119)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20113, 20111])).
% 5.00/4.51 tff(20115,plain,
% 5.00/4.51 (until5(s120)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7860, 20114])).
% 5.00/4.51 tff(20116,plain,
% 5.00/4.51 (~node4(s120)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7864, 113, 19937])).
% 5.00/4.51 tff(20117,plain,
% 5.00/4.51 (xuntil6(s120) | (~until5(s120))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[7871, 225, 20116])).
% 5.00/4.51 tff(20118,plain,
% 5.00/4.51 ($false),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20117, 20115, 19936])).
% 5.00/4.51 tff(20119,plain,(always3(s137) | xuntil6(s137)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.51 tff(20120,plain,
% 5.00/4.51 (always3(s137)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20119, 19852])).
% 5.00/4.51 tff(20121,plain,
% 5.00/4.51 (always3(s138)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5151, 20120])).
% 5.00/4.51 tff(20122,plain,
% 5.00/4.51 (((~![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)))),
% 5.00/4.51 inference(rewrite,[status(thm)],[])).
% 5.00/4.51 tff(20123,plain,
% 5.00/4.51 (((~m_main_v_state(s138, c_busy)) | (~always3(s138))) <=> ((~always3(s138)) | (~m_main_v_state(s138, c_busy)))),
% 5.00/4.51 inference(rewrite,[status(thm)],[])).
% 5.00/4.51 tff(20124,plain,
% 5.00/4.51 (((~![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))))),
% 5.00/4.51 inference(monotonicity,[status(thm)],[20123])).
% 5.00/4.51 tff(20125,plain,
% 5.00/4.51 (((~![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)))),
% 5.00/4.51 inference(transitivity,[status(thm)],[20124, 20122])).
% 5.00/4.51 tff(20126,plain,
% 5.00/4.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s138, c_busy)) | (~always3(s138)))),
% 5.00/4.51 inference(quant_inst,[status(thm)],[])).
% 5.00/4.51 tff(20127,plain,
% 5.00/4.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s138)) | (~m_main_v_state(s138, c_busy))),
% 5.00/4.51 inference(modus_ponens,[status(thm)],[20126, 20125])).
% 5.00/4.51 tff(20128,plain,
% 5.00/4.51 (~m_main_v_state(s138, c_busy)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20127, 145, 20121])).
% 5.00/4.51 tff(20129,plain,
% 5.00/4.51 (((~![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)))),
% 5.00/4.51 inference(rewrite,[status(thm)],[])).
% 5.00/4.51 tff(20130,plain,
% 5.00/4.51 (((~m_main_v_state(s137, c_busy)) | (~always3(s137))) <=> ((~always3(s137)) | (~m_main_v_state(s137, c_busy)))),
% 5.00/4.51 inference(rewrite,[status(thm)],[])).
% 5.00/4.51 tff(20131,plain,
% 5.00/4.51 (((~![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))))),
% 5.00/4.51 inference(monotonicity,[status(thm)],[20130])).
% 5.00/4.51 tff(20132,plain,
% 5.00/4.51 (((~![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)))),
% 5.00/4.51 inference(transitivity,[status(thm)],[20131, 20129])).
% 5.00/4.51 tff(20133,plain,
% 5.00/4.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s137, c_busy)) | (~always3(s137)))),
% 5.00/4.51 inference(quant_inst,[status(thm)],[])).
% 5.00/4.51 tff(20134,plain,
% 5.00/4.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s137)) | (~m_main_v_state(s137, c_busy))),
% 5.00/4.51 inference(modus_ponens,[status(thm)],[20133, 20132])).
% 5.00/4.51 tff(20135,plain,
% 5.00/4.51 (~m_main_v_state(s137, c_busy)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20134, 145, 20120])).
% 5.00/4.51 tff(20136,plain,
% 5.00/4.51 (((~![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))),
% 5.00/4.51 inference(rewrite,[status(thm)],[])).
% 5.00/4.51 tff(20137,plain,
% 5.00/4.51 ((~![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))),
% 5.00/4.51 inference(quant_inst,[status(thm)],[])).
% 5.00/4.51 tff(20138,plain,
% 5.00/4.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s137, c_busy) | m_main_v_state(s137, c_ready)),
% 5.00/4.51 inference(modus_ponens,[status(thm)],[20137, 20136])).
% 5.00/4.51 tff(20139,plain,
% 5.00/4.51 (m_main_v_state(s137, c_ready)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20138, 188, 20135])).
% 5.00/4.51 tff(20140,assumption,(until5(s135)), introduced(assumption)).
% 5.00/4.51 tff(20141,assumption,(~xuntil6(s136)), introduced(assumption)).
% 5.00/4.51 tff(20142,assumption,(~always3(s136)), introduced(assumption)).
% 5.00/4.51 tff(20143,plain,
% 5.00/4.51 (~always3(s135)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5209, 20142])).
% 5.00/4.51 tff(20144,plain,
% 5.00/4.51 (~node4(s135)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5213, 113, 20143])).
% 5.00/4.51 tff(20145,plain,
% 5.00/4.51 (xuntil6(s135) | node4(s135)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5220, 225, 20140])).
% 5.00/4.51 tff(20146,plain,
% 5.00/4.51 (xuntil6(s135)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20145, 20144])).
% 5.00/4.51 tff(20147,plain,
% 5.00/4.51 (until5(s136)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5200, 20146])).
% 5.00/4.51 tff(20148,plain,
% 5.00/4.51 (node4(s136) | (~until5(s136))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5191, 225, 20141])).
% 5.00/4.51 tff(20149,plain,
% 5.00/4.51 (node4(s136)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20148, 20147])).
% 5.00/4.51 tff(20150,plain,
% 5.00/4.51 ($false),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5184, 113, 20142, 20149])).
% 5.00/4.51 tff(20151,plain,(always3(s136) | xuntil6(s136) | (~until5(s135))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.51 tff(20152,plain,
% 5.00/4.51 (always3(s136)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20151, 20140, 20141])).
% 5.00/4.51 tff(20153,plain,
% 5.00/4.51 (((~![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)))),
% 5.00/4.51 inference(rewrite,[status(thm)],[])).
% 5.00/4.51 tff(20154,plain,
% 5.00/4.51 (((~m_main_v_state(s136, c_busy)) | (~always3(s136))) <=> ((~always3(s136)) | (~m_main_v_state(s136, c_busy)))),
% 5.00/4.51 inference(rewrite,[status(thm)],[])).
% 5.00/4.51 tff(20155,plain,
% 5.00/4.51 (((~![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))))),
% 5.00/4.51 inference(monotonicity,[status(thm)],[20154])).
% 5.00/4.51 tff(20156,plain,
% 5.00/4.51 (((~![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)))),
% 5.00/4.51 inference(transitivity,[status(thm)],[20155, 20153])).
% 5.00/4.51 tff(20157,plain,
% 5.00/4.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s136, c_busy)) | (~always3(s136)))),
% 5.00/4.51 inference(quant_inst,[status(thm)],[])).
% 5.00/4.51 tff(20158,plain,
% 5.00/4.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s136)) | (~m_main_v_state(s136, c_busy))),
% 5.00/4.51 inference(modus_ponens,[status(thm)],[20157, 20156])).
% 5.00/4.51 tff(20159,plain,
% 5.00/4.51 (~m_main_v_state(s136, c_busy)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20158, 145, 20152])).
% 5.00/4.51 tff(20160,assumption,(~m_main_v_state(s137, c_busy)), introduced(assumption)).
% 5.00/4.51 tff(20161,plain,
% 5.00/4.51 (((~![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))),
% 5.00/4.51 inference(rewrite,[status(thm)],[])).
% 5.00/4.51 tff(20162,plain,
% 5.00/4.51 ((~![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))),
% 5.00/4.51 inference(quant_inst,[status(thm)],[])).
% 5.00/4.51 tff(20163,plain,
% 5.00/4.51 ((~![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)),
% 5.00/4.51 inference(modus_ponens,[status(thm)],[20162, 20161])).
% 5.00/4.51 tff(20164,plain,
% 5.00/4.51 (m_main_v_state(s136, c_ready)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20163, 188, 20159])).
% 5.00/4.51 tff(20165,plain,
% 5.00/4.51 (((~![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))),
% 5.00/4.51 inference(rewrite,[status(thm)],[])).
% 5.00/4.51 tff(20166,plain,
% 5.00/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s136, s137)) | node2(s136, s137))),
% 5.00/4.51 inference(quant_inst,[status(thm)],[])).
% 5.00/4.51 tff(20167,plain,
% 5.00/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s136, s137)) | node2(s136, s137)),
% 5.00/4.51 inference(modus_ponens,[status(thm)],[20166, 20165])).
% 5.00/4.51 tff(20168,plain,
% 5.00/4.51 (node2(s136, s137)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20167, 7, 5176])).
% 5.00/4.51 tff(20169,plain,
% 5.00/4.51 (((~![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(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)))),
% 5.00/4.51 inference(rewrite,[status(thm)],[])).
% 5.00/4.51 tff(20170,plain,
% 5.00/4.51 ((~![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(s136, c_ready)) | (~node2(s136, s137)) | m_main_v_state(s137, c_busy) | (~m_main_v_request(s136)))),
% 5.00/4.51 inference(quant_inst,[status(thm)],[])).
% 5.00/4.51 tff(20171,plain,
% 5.00/4.51 ((~![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(s136, c_ready)) | (~node2(s136, s137)) | m_main_v_state(s137, c_busy) | (~m_main_v_request(s136))),
% 5.00/4.51 inference(modus_ponens,[status(thm)],[20170, 20169])).
% 5.00/4.51 tff(20172,plain,
% 5.00/4.51 ((~m_main_v_state(s136, c_ready)) | m_main_v_state(s137, c_busy) | (~m_main_v_request(s136))),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20171, 166, 20168])).
% 5.00/4.51 tff(20173,plain,
% 5.00/4.51 (~m_main_v_request(s136)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20172, 20164, 20160])).
% 5.00/4.51 tff(20174,plain,
% 5.00/4.51 (((~![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)))),
% 5.00/4.51 inference(rewrite,[status(thm)],[])).
% 5.00/4.51 tff(20175,plain,
% 5.00/4.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s136) | (~node4(s136)))),
% 5.00/4.51 inference(quant_inst,[status(thm)],[])).
% 5.00/4.51 tff(20176,plain,
% 5.00/4.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s136) | (~node4(s136))),
% 5.00/4.51 inference(modus_ponens,[status(thm)],[20175, 20174])).
% 5.00/4.51 tff(20177,plain,
% 5.00/4.51 (~node4(s136)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20176, 63, 20173])).
% 5.00/4.51 tff(20178,plain,
% 5.00/4.51 (~until5(s136)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20148, 20177])).
% 5.00/4.51 tff(20179,plain,
% 5.00/4.51 (~xuntil6(s135)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[5200, 20178])).
% 5.00/4.51 tff(20180,plain,
% 5.00/4.51 (node4(s135)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20145, 20179])).
% 5.00/4.51 tff(20181,plain,
% 5.00/4.51 (((~![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)))),
% 5.00/4.51 inference(rewrite,[status(thm)],[])).
% 5.00/4.51 tff(20182,plain,
% 5.00/4.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s135) | (~node4(s135)))),
% 5.00/4.51 inference(quant_inst,[status(thm)],[])).
% 5.00/4.51 tff(20183,plain,
% 5.00/4.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s135) | (~node4(s135))),
% 5.00/4.51 inference(modus_ponens,[status(thm)],[20182, 20181])).
% 5.00/4.51 tff(20184,plain,
% 5.00/4.51 (m_main_v_request(s135)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20183, 63, 20180])).
% 5.00/4.51 tff(20185,plain,
% 5.00/4.51 (((~![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))),
% 5.00/4.51 inference(rewrite,[status(thm)],[])).
% 5.00/4.51 tff(20186,plain,
% 5.00/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s135, s136)) | node2(s135, s136))),
% 5.00/4.51 inference(quant_inst,[status(thm)],[])).
% 5.00/4.51 tff(20187,plain,
% 5.00/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s135, s136)) | node2(s135, s136)),
% 5.00/4.51 inference(modus_ponens,[status(thm)],[20186, 20185])).
% 5.00/4.51 tff(20188,plain,
% 5.00/4.51 (node2(s135, s136)),
% 5.00/4.51 inference(unit_resolution,[status(thm)],[20187, 7, 5205])).
% 5.00/4.51 tff(20189,plain,
% 5.00/4.51 (((~![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(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)))),
% 5.00/4.51 inference(rewrite,[status(thm)],[])).
% 5.00/4.51 tff(20190,plain,
% 5.00/4.51 ((~![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(s135, c_ready)) | (~node2(s135, s136)) | m_main_v_state(s136, c_busy) | (~m_main_v_request(s135)))),
% 5.00/4.51 inference(quant_inst,[status(thm)],[])).
% 5.00/4.51 tff(20191,plain,
% 5.00/4.51 ((~![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(s135, c_ready)) | (~node2(s135, s136)) | m_main_v_state(s136, c_busy) | (~m_main_v_request(s135))),
% 5.00/4.52 inference(modus_ponens,[status(thm)],[20190, 20189])).
% 5.00/4.52 tff(20192,plain,
% 5.00/4.52 ((~m_main_v_state(s135, c_ready)) | m_main_v_state(s136, c_busy) | (~m_main_v_request(s135))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20191, 166, 20188])).
% 5.00/4.52 tff(20193,plain,
% 5.00/4.52 (~m_main_v_state(s135, c_ready)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20192, 20184, 20159])).
% 5.00/4.52 tff(20194,plain,
% 5.00/4.52 (always3(s135)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5213, 113, 20180])).
% 5.00/4.52 tff(20195,plain,
% 5.00/4.52 (~m_main_v_state(s135, c_busy)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[19541, 145, 20194])).
% 5.00/4.52 tff(20196,plain,
% 5.00/4.52 (((~![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))),
% 5.00/4.52 inference(rewrite,[status(thm)],[])).
% 5.00/4.52 tff(20197,plain,
% 5.00/4.52 ((~![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))),
% 5.00/4.52 inference(quant_inst,[status(thm)],[])).
% 5.00/4.52 tff(20198,plain,
% 5.00/4.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s135, c_busy) | m_main_v_state(s135, c_ready)),
% 5.00/4.52 inference(modus_ponens,[status(thm)],[20197, 20196])).
% 5.00/4.52 tff(20199,plain,
% 5.00/4.52 ($false),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20198, 188, 20195, 20193])).
% 5.00/4.52 tff(20200,plain,((~until5(s135)) | xuntil6(s136) | m_main_v_state(s137, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.52 tff(20201,plain,
% 5.00/4.52 (xuntil6(s136)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20200, 20135, 20140])).
% 5.00/4.52 tff(20202,plain,
% 5.00/4.52 (until5(s137)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5171, 20201])).
% 5.00/4.52 tff(20203,plain,
% 5.00/4.52 (node4(s137)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[19857, 20202])).
% 5.00/4.52 tff(20204,plain,
% 5.00/4.52 (((~![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)))),
% 5.00/4.52 inference(rewrite,[status(thm)],[])).
% 5.00/4.52 tff(20205,plain,
% 5.00/4.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s137) | (~node4(s137)))),
% 5.00/4.52 inference(quant_inst,[status(thm)],[])).
% 5.00/4.52 tff(20206,plain,
% 5.00/4.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s137) | (~node4(s137))),
% 5.00/4.52 inference(modus_ponens,[status(thm)],[20205, 20204])).
% 5.00/4.52 tff(20207,plain,
% 5.00/4.52 (m_main_v_request(s137)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20206, 63, 20203])).
% 5.00/4.52 tff(20208,plain,
% 5.00/4.52 (((~![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))),
% 5.00/4.52 inference(rewrite,[status(thm)],[])).
% 5.00/4.52 tff(20209,plain,
% 5.00/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s137, s138)) | node2(s137, s138))),
% 5.00/4.52 inference(quant_inst,[status(thm)],[])).
% 5.00/4.52 tff(20210,plain,
% 5.00/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s137, s138)) | node2(s137, s138)),
% 5.00/4.52 inference(modus_ponens,[status(thm)],[20209, 20208])).
% 5.00/4.52 tff(20211,plain,
% 5.00/4.52 (node2(s137, s138)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20210, 7, 5147])).
% 5.00/4.52 tff(20212,plain,
% 5.00/4.52 (((~![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(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)))),
% 5.00/4.52 inference(rewrite,[status(thm)],[])).
% 5.00/4.52 tff(20213,plain,
% 5.00/4.52 ((~![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(s137, c_ready)) | (~node2(s137, s138)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s137)))),
% 5.00/4.52 inference(quant_inst,[status(thm)],[])).
% 5.00/4.52 tff(20214,plain,
% 5.00/4.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s137, c_ready)) | (~node2(s137, s138)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s137))),
% 5.00/4.52 inference(modus_ponens,[status(thm)],[20213, 20212])).
% 5.00/4.52 tff(20215,plain,
% 5.00/4.52 ((~m_main_v_state(s137, c_ready)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s137))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20214, 166, 20211])).
% 5.00/4.52 tff(20216,plain,
% 5.00/4.52 ($false),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20215, 20207, 20139, 20128])).
% 5.00/4.52 tff(20217,plain,(xuntil6(s137) | (~until5(s135))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.52 tff(20218,plain,
% 5.00/4.52 (xuntil6(s137)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20217, 19851])).
% 5.00/4.52 tff(20219,plain,
% 5.00/4.52 (until5(s138)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5142, 20218])).
% 5.00/4.52 tff(20220,assumption,(until5(s138)), introduced(assumption)).
% 5.00/4.52 tff(20221,assumption,(~xuntil6(s140)), introduced(assumption)).
% 5.00/4.52 tff(20222,assumption,(~always3(s140)), introduced(assumption)).
% 5.00/4.52 tff(20223,plain,
% 5.00/4.52 (~always3(s139)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5093, 20222])).
% 5.00/4.52 tff(20224,plain,
% 5.00/4.52 (~node4(s139)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5097, 113, 20223])).
% 5.00/4.52 tff(20225,plain,
% 5.00/4.52 (~node4(s140)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5068, 113, 20222])).
% 5.00/4.52 tff(20226,plain,
% 5.00/4.52 (node4(s140) | (~until5(s140))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5075, 225, 20221])).
% 5.00/4.52 tff(20227,plain,
% 5.00/4.52 (~until5(s140)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20226, 20225])).
% 5.00/4.52 tff(20228,plain,
% 5.00/4.52 (~xuntil6(s139)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5084, 20227])).
% 5.00/4.52 tff(20229,plain,
% 5.00/4.52 (~until5(s139)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5104, 225, 20228, 20224])).
% 5.00/4.52 tff(20230,plain,
% 5.00/4.52 (~xuntil6(s138)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5113, 20229])).
% 5.00/4.52 tff(20231,plain,
% 5.00/4.52 (~always3(s138)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5122, 20223])).
% 5.00/4.52 tff(20232,plain,
% 5.00/4.52 (~node4(s138)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5126, 113, 20231])).
% 5.00/4.52 tff(20233,plain,
% 5.00/4.52 (xuntil6(s138) | (~until5(s138))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5133, 225, 20232])).
% 5.00/4.52 tff(20234,plain,
% 5.00/4.52 (~until5(s138)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20233, 20230])).
% 5.00/4.52 tff(20235,plain,
% 5.00/4.52 (~xuntil6(s137)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5142, 20234])).
% 5.00/4.52 tff(20236,plain,
% 5.00/4.52 (~always3(s137)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5151, 20231])).
% 5.00/4.52 tff(20237,plain,
% 5.00/4.52 (~node4(s137)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5155, 113, 20236])).
% 5.00/4.52 tff(20238,plain,
% 5.00/4.52 (xuntil6(s137) | (~until5(s137))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5162, 225, 20237])).
% 5.00/4.52 tff(20239,plain,
% 5.00/4.52 (~until5(s137)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20238, 20235])).
% 5.00/4.52 tff(20240,plain,
% 5.00/4.52 (~xuntil6(s136)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5171, 20239])).
% 5.00/4.52 tff(20241,plain,
% 5.00/4.52 (~always3(s136)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5180, 20236])).
% 5.00/4.52 tff(20242,plain,
% 5.00/4.52 (~node4(s136)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5184, 113, 20241])).
% 5.00/4.52 tff(20243,plain,
% 5.00/4.52 (xuntil6(s136) | (~until5(s136))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5191, 225, 20242])).
% 5.00/4.52 tff(20244,plain,
% 5.00/4.52 (~until5(s136)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20243, 20240])).
% 5.00/4.52 tff(20245,plain,
% 5.00/4.52 (~xuntil6(s135)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5200, 20244])).
% 5.00/4.52 tff(20246,plain,
% 5.00/4.52 (~always3(s135)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5209, 20241])).
% 5.00/4.52 tff(20247,plain,
% 5.00/4.52 (~node4(s135)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5213, 113, 20246])).
% 5.00/4.52 tff(20248,plain,
% 5.00/4.52 (xuntil6(s135) | (~until5(s135))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5220, 225, 20247])).
% 5.00/4.52 tff(20249,plain,
% 5.00/4.52 (~until5(s135)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20248, 20245])).
% 5.00/4.52 tff(20250,plain,
% 5.00/4.52 (~xuntil6(s134)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5229, 20249])).
% 5.00/4.52 tff(20251,plain,
% 5.00/4.52 (~always3(s134)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5238, 20246])).
% 5.00/4.52 tff(20252,plain,
% 5.00/4.52 (~node4(s134)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5242, 113, 20251])).
% 5.00/4.52 tff(20253,plain,
% 5.00/4.52 (xuntil6(s134) | (~until5(s134))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5249, 225, 20252])).
% 5.00/4.52 tff(20254,plain,
% 5.00/4.52 (~until5(s134)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20253, 20250])).
% 5.00/4.52 tff(20255,plain,
% 5.00/4.52 (~xuntil6(s133)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5258, 20254])).
% 5.00/4.52 tff(20256,plain,
% 5.00/4.52 (~always3(s133)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5267, 20251])).
% 5.00/4.52 tff(20257,plain,
% 5.00/4.52 (~node4(s133)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5271, 113, 20256])).
% 5.00/4.52 tff(20258,plain,
% 5.00/4.52 (xuntil6(s133) | (~until5(s133))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5278, 225, 20257])).
% 5.00/4.52 tff(20259,plain,
% 5.00/4.52 (~until5(s133)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20258, 20255])).
% 5.00/4.52 tff(20260,plain,
% 5.00/4.52 (~xuntil6(s132)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5287, 20259])).
% 5.00/4.52 tff(20261,plain,
% 5.00/4.52 (~always3(s132)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5296, 20256])).
% 5.00/4.52 tff(20262,plain,
% 5.00/4.52 (~node4(s132)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5300, 113, 20261])).
% 5.00/4.52 tff(20263,plain,
% 5.00/4.52 (xuntil6(s132) | (~until5(s132))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5307, 225, 20262])).
% 5.00/4.52 tff(20264,plain,
% 5.00/4.52 (~until5(s132)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20263, 20260])).
% 5.00/4.52 tff(20265,plain,
% 5.00/4.52 (~xuntil6(s131)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5316, 20264])).
% 5.00/4.52 tff(20266,plain,
% 5.00/4.52 (~always3(s131)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5325, 20261])).
% 5.00/4.52 tff(20267,plain,
% 5.00/4.52 (~node4(s131)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5329, 113, 20266])).
% 5.00/4.52 tff(20268,plain,
% 5.00/4.52 (xuntil6(s131) | (~until5(s131))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5336, 225, 20267])).
% 5.00/4.52 tff(20269,plain,
% 5.00/4.52 (~until5(s131)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20268, 20265])).
% 5.00/4.52 tff(20270,plain,
% 5.00/4.52 (~xuntil6(s130)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5345, 20269])).
% 5.00/4.52 tff(20271,plain,
% 5.00/4.52 (~always3(s130)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5354, 20266])).
% 5.00/4.52 tff(20272,plain,
% 5.00/4.52 (~node4(s130)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5358, 113, 20271])).
% 5.00/4.52 tff(20273,plain,
% 5.00/4.52 (xuntil6(s130) | (~until5(s130))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5365, 225, 20272])).
% 5.00/4.52 tff(20274,plain,
% 5.00/4.52 (~until5(s130)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20273, 20270])).
% 5.00/4.52 tff(20275,plain,
% 5.00/4.52 (~xuntil6(s129)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5374, 20274])).
% 5.00/4.52 tff(20276,plain,
% 5.00/4.52 (~always3(s129)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5383, 20271])).
% 5.00/4.52 tff(20277,plain,
% 5.00/4.52 (~node4(s129)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5387, 113, 20276])).
% 5.00/4.52 tff(20278,plain,
% 5.00/4.52 (xuntil6(s129) | (~until5(s129))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5394, 225, 20277])).
% 5.00/4.52 tff(20279,plain,
% 5.00/4.52 (~until5(s129)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20278, 20275])).
% 5.00/4.52 tff(20280,plain,
% 5.00/4.52 (~xuntil6(s128)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5403, 20279])).
% 5.00/4.52 tff(20281,plain,
% 5.00/4.52 (~always3(s128)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5412, 20276])).
% 5.00/4.52 tff(20282,plain,
% 5.00/4.52 (~node4(s128)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5416, 113, 20281])).
% 5.00/4.52 tff(20283,plain,
% 5.00/4.52 (xuntil6(s128) | (~until5(s128))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5423, 225, 20282])).
% 5.00/4.52 tff(20284,plain,
% 5.00/4.52 (~until5(s128)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20283, 20280])).
% 5.00/4.52 tff(20285,plain,
% 5.00/4.52 (~xuntil6(s127)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7996, 20284])).
% 5.00/4.52 tff(20286,plain,
% 5.00/4.52 (~always3(s127)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5436, 20281])).
% 5.00/4.52 tff(20287,plain,
% 5.00/4.52 (~node4(s127)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7983, 113, 20286])).
% 5.00/4.52 tff(20288,plain,
% 5.00/4.52 (xuntil6(s127) | (~until5(s127))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7990, 225, 20287])).
% 5.00/4.52 tff(20289,plain,
% 5.00/4.52 (~until5(s127)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20288, 20285])).
% 5.00/4.52 tff(20290,plain,
% 5.00/4.52 (~xuntil6(s126)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7979, 20289])).
% 5.00/4.52 tff(20291,plain,
% 5.00/4.52 (~always3(s126)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5448, 20286])).
% 5.00/4.52 tff(20292,plain,
% 5.00/4.52 (~node4(s126)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7966, 113, 20291])).
% 5.00/4.52 tff(20293,plain,
% 5.00/4.52 (xuntil6(s126) | (~until5(s126))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7973, 225, 20292])).
% 5.00/4.52 tff(20294,plain,
% 5.00/4.52 (~until5(s126)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20293, 20290])).
% 5.00/4.52 tff(20295,plain,
% 5.00/4.52 (~xuntil6(s125)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7962, 20294])).
% 5.00/4.52 tff(20296,plain,
% 5.00/4.52 (~always3(s125)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5460, 20291])).
% 5.00/4.52 tff(20297,plain,
% 5.00/4.52 (~node4(s125)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7949, 113, 20296])).
% 5.00/4.52 tff(20298,plain,
% 5.00/4.52 (xuntil6(s125) | (~until5(s125))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7956, 225, 20297])).
% 5.00/4.52 tff(20299,plain,
% 5.00/4.52 (~until5(s125)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20298, 20295])).
% 5.00/4.52 tff(20300,plain,
% 5.00/4.52 (~xuntil6(s124)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7945, 20299])).
% 5.00/4.52 tff(20301,plain,
% 5.00/4.52 (~always3(s124)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5472, 20296])).
% 5.00/4.52 tff(20302,plain,
% 5.00/4.52 (~node4(s124)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7932, 113, 20301])).
% 5.00/4.52 tff(20303,plain,
% 5.00/4.52 (xuntil6(s124) | (~until5(s124))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7939, 225, 20302])).
% 5.00/4.52 tff(20304,plain,
% 5.00/4.52 (~until5(s124)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20303, 20300])).
% 5.00/4.52 tff(20305,plain,
% 5.00/4.52 (~xuntil6(s123)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7928, 20304])).
% 5.00/4.52 tff(20306,plain,
% 5.00/4.52 (~always3(s123)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5484, 20301])).
% 5.00/4.52 tff(20307,plain,
% 5.00/4.52 (~node4(s123)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7915, 113, 20306])).
% 5.00/4.52 tff(20308,plain,
% 5.00/4.52 (xuntil6(s123) | (~until5(s123))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7922, 225, 20307])).
% 5.00/4.52 tff(20309,plain,
% 5.00/4.52 (~until5(s123)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20308, 20305])).
% 5.00/4.52 tff(20310,plain,
% 5.00/4.52 (~xuntil6(s122)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7911, 20309])).
% 5.00/4.52 tff(20311,plain,
% 5.00/4.52 (~always3(s122)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5496, 20306])).
% 5.00/4.52 tff(20312,plain,
% 5.00/4.52 (~node4(s122)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7898, 113, 20311])).
% 5.00/4.52 tff(20313,plain,
% 5.00/4.52 (xuntil6(s122) | (~until5(s122))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7905, 225, 20312])).
% 5.00/4.52 tff(20314,plain,
% 5.00/4.52 (~until5(s122)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20313, 20310])).
% 5.00/4.52 tff(20315,plain,
% 5.00/4.52 (~always3(s121)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5508, 20311])).
% 5.00/4.52 tff(20316,plain,
% 5.00/4.52 (~always3(s120)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5520, 20315])).
% 5.00/4.52 tff(20317,plain,
% 5.00/4.52 (~always3(s119)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5532, 20316])).
% 5.00/4.52 tff(20318,plain,
% 5.00/4.52 (~always3(s118)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5544, 20317])).
% 5.00/4.52 tff(20319,plain,
% 5.00/4.52 (~always3(s117)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5556, 20318])).
% 5.00/4.52 tff(20320,plain,
% 5.00/4.52 (~always3(s116)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5568, 20319])).
% 5.00/4.52 tff(20321,plain,
% 5.00/4.52 (~always3(s115)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5580, 20320])).
% 5.00/4.52 tff(20322,plain,
% 5.00/4.52 (~always3(s114)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5592, 20321])).
% 5.00/4.52 tff(20323,plain,
% 5.00/4.52 (~always3(s113)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5604, 20322])).
% 5.00/4.52 tff(20324,plain,
% 5.00/4.52 (~always3(s112)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5616, 20323])).
% 5.00/4.52 tff(20325,plain,
% 5.00/4.52 (~always3(s111)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5628, 20324])).
% 5.00/4.52 tff(20326,plain,
% 5.00/4.52 (~always3(s110)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5640, 20325])).
% 5.00/4.52 tff(20327,plain,
% 5.00/4.52 (~always3(s109)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5652, 20326])).
% 5.00/4.52 tff(20328,plain,
% 5.00/4.52 (~always3(s108)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5664, 20327])).
% 5.00/4.52 tff(20329,plain,
% 5.00/4.52 (~always3(s107)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5676, 20328])).
% 5.00/4.52 tff(20330,plain,
% 5.00/4.52 (~always3(s106)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5688, 20329])).
% 5.00/4.52 tff(20331,plain,
% 5.00/4.52 (~always3(s105)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5700, 20330])).
% 5.00/4.52 tff(20332,plain,
% 5.00/4.52 (~always3(s104)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5712, 20331])).
% 5.00/4.52 tff(20333,plain,
% 5.00/4.52 (~node4(s104)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5716, 113, 20332])).
% 5.00/4.52 tff(20334,plain,
% 5.00/4.52 (~always3(s103)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5728, 20332])).
% 5.00/4.52 tff(20335,plain,
% 5.00/4.52 (~always3(s102)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5740, 20334])).
% 5.00/4.52 tff(20336,plain,
% 5.00/4.52 (~always3(s101)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5752, 20335])).
% 5.00/4.52 tff(20337,plain,
% 5.00/4.52 (~always3(s100)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5764, 20336])).
% 5.00/4.52 tff(20338,plain,
% 5.00/4.52 (~always3(s99)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5776, 20337])).
% 5.00/4.52 tff(20339,plain,
% 5.00/4.52 (~always3(s98)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5788, 20338])).
% 5.00/4.52 tff(20340,plain,
% 5.00/4.52 (~always3(s97)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5800, 20339])).
% 5.00/4.52 tff(20341,plain,
% 5.00/4.52 (~always3(s96)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5812, 20340])).
% 5.00/4.52 tff(20342,plain,
% 5.00/4.52 (~always3(s95)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5824, 20341])).
% 5.00/4.52 tff(20343,plain,
% 5.00/4.52 (~always3(s94)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5836, 20342])).
% 5.00/4.52 tff(20344,plain,
% 5.00/4.52 (~always3(s93)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5848, 20343])).
% 5.00/4.52 tff(20345,plain,
% 5.00/4.52 (~always3(s92)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5860, 20344])).
% 5.00/4.52 tff(20346,plain,
% 5.00/4.52 (~always3(s91)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5872, 20345])).
% 5.00/4.52 tff(20347,plain,
% 5.00/4.52 (~always3(s90)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5884, 20346])).
% 5.00/4.52 tff(20348,plain,
% 5.00/4.52 (~always3(s89)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5896, 20347])).
% 5.00/4.52 tff(20349,plain,
% 5.00/4.52 (~always3(s88)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5908, 20348])).
% 5.00/4.52 tff(20350,plain,
% 5.00/4.52 (~always3(s87)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5920, 20349])).
% 5.00/4.52 tff(20351,plain,
% 5.00/4.52 (~always3(s86)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5932, 20350])).
% 5.00/4.52 tff(20352,plain,
% 5.00/4.52 (~always3(s85)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5944, 20351])).
% 5.00/4.52 tff(20353,plain,
% 5.00/4.52 (~always3(s84)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5956, 20352])).
% 5.00/4.52 tff(20354,plain,
% 5.00/4.52 (~always3(s83)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5968, 20353])).
% 5.00/4.52 tff(20355,plain,
% 5.00/4.52 (~always3(s82)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5980, 20354])).
% 5.00/4.52 tff(20356,plain,
% 5.00/4.52 (~always3(s81)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5992, 20355])).
% 5.00/4.52 tff(20357,plain,
% 5.00/4.52 (~always3(s80)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6004, 20356])).
% 5.00/4.52 tff(20358,plain,
% 5.00/4.52 (~always3(s79)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6016, 20357])).
% 5.00/4.52 tff(20359,plain,
% 5.00/4.52 (~always3(s78)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6028, 20358])).
% 5.00/4.52 tff(20360,plain,
% 5.00/4.52 (~always3(s77)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6040, 20359])).
% 5.00/4.52 tff(20361,plain,
% 5.00/4.52 (~always3(s76)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6052, 20360])).
% 5.00/4.52 tff(20362,plain,
% 5.00/4.52 (~always3(s75)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6064, 20361])).
% 5.00/4.52 tff(20363,plain,
% 5.00/4.52 (~always3(s74)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6076, 20362])).
% 5.00/4.52 tff(20364,plain,
% 5.00/4.52 (~always3(s73)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6088, 20363])).
% 5.00/4.52 tff(20365,plain,
% 5.00/4.52 (~always3(s72)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6100, 20364])).
% 5.00/4.52 tff(20366,plain,
% 5.00/4.52 (~always3(s71)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6112, 20365])).
% 5.00/4.52 tff(20367,plain,
% 5.00/4.52 (~always3(s70)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6124, 20366])).
% 5.00/4.52 tff(20368,plain,
% 5.00/4.52 (~always3(s69)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6136, 20367])).
% 5.00/4.52 tff(20369,plain,
% 5.00/4.52 (~always3(s68)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6148, 20368])).
% 5.00/4.52 tff(20370,plain,
% 5.00/4.52 (~always3(s67)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6160, 20369])).
% 5.00/4.52 tff(20371,plain,
% 5.00/4.52 (~always3(s66)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6172, 20370])).
% 5.00/4.52 tff(20372,plain,
% 5.00/4.52 (~always3(s65)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6184, 20371])).
% 5.00/4.52 tff(20373,plain,
% 5.00/4.52 (~always3(s64)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6196, 20372])).
% 5.00/4.52 tff(20374,plain,
% 5.00/4.52 (~always3(s63)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6208, 20373])).
% 5.00/4.52 tff(20375,plain,
% 5.00/4.52 (~always3(s62)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6220, 20374])).
% 5.00/4.52 tff(20376,plain,
% 5.00/4.52 (~always3(s61)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6232, 20375])).
% 5.00/4.52 tff(20377,plain,
% 5.00/4.52 (~always3(s60)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6244, 20376])).
% 5.00/4.52 tff(20378,plain,
% 5.00/4.52 (~always3(s59)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6256, 20377])).
% 5.00/4.52 tff(20379,plain,
% 5.00/4.52 (~always3(s58)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6268, 20378])).
% 5.00/4.52 tff(20380,plain,
% 5.00/4.52 (~always3(s57)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6280, 20379])).
% 5.00/4.52 tff(20381,plain,
% 5.00/4.52 (~always3(s56)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6292, 20380])).
% 5.00/4.52 tff(20382,plain,
% 5.00/4.52 (~always3(s55)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6304, 20381])).
% 5.00/4.52 tff(20383,plain,
% 5.00/4.52 (~always3(s54)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6316, 20382])).
% 5.00/4.52 tff(20384,plain,
% 5.00/4.52 (~always3(s53)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6328, 20383])).
% 5.00/4.52 tff(20385,plain,
% 5.00/4.52 (~always3(s52)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6340, 20384])).
% 5.00/4.52 tff(20386,plain,
% 5.00/4.52 (~always3(s51)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6352, 20385])).
% 5.00/4.52 tff(20387,plain,
% 5.00/4.52 (~always3(s50)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6364, 20386])).
% 5.00/4.52 tff(20388,plain,
% 5.00/4.52 (~always3(s49)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6376, 20387])).
% 5.00/4.52 tff(20389,plain,
% 5.00/4.52 (~always3(s48)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6388, 20388])).
% 5.00/4.52 tff(20390,plain,
% 5.00/4.52 (~always3(s47)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6400, 20389])).
% 5.00/4.52 tff(20391,plain,
% 5.00/4.52 (~always3(s46)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6412, 20390])).
% 5.00/4.52 tff(20392,plain,
% 5.00/4.52 (~always3(s45)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6424, 20391])).
% 5.00/4.52 tff(20393,plain,
% 5.00/4.52 (~always3(s44)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[6436, 20392])).
% 5.00/4.52 tff(20394,plain,
% 5.00/4.52 (~always3(s43)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[81, 20393])).
% 5.00/4.52 tff(20395,plain,
% 5.00/4.52 (~always3(s42)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[93, 20394])).
% 5.00/4.52 tff(20396,plain,
% 5.00/4.52 (~always3(s41)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[105, 20395])).
% 5.00/4.52 tff(20397,plain,
% 5.00/4.52 (~always3(s40)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[137, 20396])).
% 5.00/4.52 tff(20398,plain,
% 5.00/4.52 (~always3(s39)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[3143, 20397])).
% 5.00/4.52 tff(20399,plain,
% 5.00/4.52 (~always3(s38)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[2699, 20398])).
% 5.00/4.52 tff(20400,plain,
% 5.00/4.52 (~node4(s38)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[2678, 113, 20399])).
% 5.00/4.52 tff(20401,plain,
% 5.00/4.52 (~always3(s37)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[2375, 20399])).
% 5.00/4.52 tff(20402,plain,
% 5.00/4.52 (~always3(s36)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[2387, 20401])).
% 5.00/4.52 tff(20403,plain,
% 5.00/4.52 (~always3(s35)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[2399, 20402])).
% 5.00/4.52 tff(20404,plain,
% 5.00/4.52 (~always3(s34)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[2411, 20403])).
% 5.00/4.52 tff(20405,plain,
% 5.00/4.52 (~always3(s33)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[2423, 20404])).
% 5.00/4.52 tff(20406,plain,
% 5.00/4.52 (~always3(s32)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[2435, 20405])).
% 5.00/4.52 tff(20407,plain,
% 5.00/4.52 (~always3(s31)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[2447, 20406])).
% 5.00/4.52 tff(20408,plain,
% 5.00/4.52 (~always3(s30)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[2326, 20407])).
% 5.00/4.52 tff(20409,plain,
% 5.00/4.52 (~always3(s29)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[2229, 20408])).
% 5.00/4.52 tff(20410,plain,
% 5.00/4.52 (~always3(s28)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[2173, 20409])).
% 5.00/4.52 tff(20411,plain,
% 5.00/4.52 (~always3(s27)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[2081, 20410])).
% 5.00/4.52 tff(20412,plain,
% 5.00/4.52 (~always3(s26)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[1993, 20411])).
% 5.00/4.52 tff(20413,plain,
% 5.00/4.52 (~always3(s25)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[1873, 20412])).
% 5.00/4.52 tff(20414,plain,
% 5.00/4.52 (~always3(s24)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[1771, 20413])).
% 5.00/4.52 tff(20415,plain,
% 5.00/4.52 (~always3(s23)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[1816, 20414])).
% 5.00/4.52 tff(20416,plain,
% 5.00/4.52 (~always3(s22)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[1557, 20415])).
% 5.00/4.52 tff(20417,plain,
% 5.00/4.52 (~always3(s21)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[1306, 20416])).
% 5.00/4.52 tff(20418,plain,
% 5.00/4.52 (~always3(s20)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[1351, 20417])).
% 5.00/4.52 tff(20419,plain,
% 5.00/4.52 (~always3(s19)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[1363, 20418])).
% 5.00/4.52 tff(20420,plain,
% 5.00/4.52 (~always3(s18)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[1379, 20419])).
% 5.00/4.52 tff(20421,plain,
% 5.00/4.52 (~always3(s17)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[1395, 20420])).
% 5.00/4.52 tff(20422,plain,
% 5.00/4.52 (~always3(s16)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[1407, 20421])).
% 5.00/4.52 tff(20423,plain,
% 5.00/4.52 (~always3(s15)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[654, 20422])).
% 5.00/4.52 tff(20424,plain,
% 5.00/4.52 (xuntil6(s15)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[642, 20423])).
% 5.00/4.52 tff(20425,plain,
% 5.00/4.52 (until5(s16)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[1292, 20424])).
% 5.00/4.52 tff(20426,plain,
% 5.00/4.52 (xuntil6(s37)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[2661, 20425, 20401])).
% 5.00/4.52 tff(20427,plain,
% 5.00/4.52 (until5(s38)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[2666, 20426])).
% 5.00/4.52 tff(20428,plain,
% 5.00/4.52 (xuntil6(s38) | node4(s38)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[2673, 225, 20427])).
% 5.00/4.52 tff(20429,plain,
% 5.00/4.52 (xuntil6(s38)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20428, 20400])).
% 5.00/4.52 tff(20430,plain,
% 5.00/4.52 (until5(s39)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[3122, 20429])).
% 5.00/4.52 tff(20431,plain,
% 5.00/4.52 (xuntil6(s103)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7588, 20430, 20334])).
% 5.00/4.52 tff(20432,plain,
% 5.00/4.52 (until5(s104)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7593, 20431])).
% 5.00/4.52 tff(20433,plain,
% 5.00/4.52 (xuntil6(s104)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7600, 225, 20432, 20333])).
% 5.00/4.52 tff(20434,plain,
% 5.00/4.52 (until5(s105)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7605, 20433])).
% 5.00/4.52 tff(20435,plain,
% 5.00/4.52 (~node4(s105)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7609, 113, 20331])).
% 5.00/4.52 tff(20436,plain,
% 5.00/4.52 (xuntil6(s105) | (~until5(s105))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7616, 225, 20435])).
% 5.00/4.52 tff(20437,plain,
% 5.00/4.52 (xuntil6(s105)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20436, 20434])).
% 5.00/4.52 tff(20438,plain,
% 5.00/4.52 (until5(s106)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7622, 20437])).
% 5.00/4.52 tff(20439,plain,
% 5.00/4.52 (~node4(s106)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7626, 113, 20330])).
% 5.00/4.52 tff(20440,plain,
% 5.00/4.52 (xuntil6(s106) | (~until5(s106))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7633, 225, 20439])).
% 5.00/4.52 tff(20441,plain,
% 5.00/4.52 (xuntil6(s106)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20440, 20438])).
% 5.00/4.52 tff(20442,plain,
% 5.00/4.52 (until5(s107)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7639, 20441])).
% 5.00/4.52 tff(20443,plain,
% 5.00/4.52 (~node4(s107)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7643, 113, 20329])).
% 5.00/4.52 tff(20444,plain,
% 5.00/4.52 (xuntil6(s107) | (~until5(s107))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7650, 225, 20443])).
% 5.00/4.52 tff(20445,plain,
% 5.00/4.52 (xuntil6(s107)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20444, 20442])).
% 5.00/4.52 tff(20446,plain,
% 5.00/4.52 (until5(s108)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7656, 20445])).
% 5.00/4.52 tff(20447,plain,
% 5.00/4.52 (~node4(s108)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7660, 113, 20328])).
% 5.00/4.52 tff(20448,plain,
% 5.00/4.52 (xuntil6(s108) | (~until5(s108))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7667, 225, 20447])).
% 5.00/4.52 tff(20449,plain,
% 5.00/4.52 (xuntil6(s108)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20448, 20446])).
% 5.00/4.52 tff(20450,plain,
% 5.00/4.52 (until5(s109)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7673, 20449])).
% 5.00/4.52 tff(20451,plain,
% 5.00/4.52 (~node4(s109)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7677, 113, 20327])).
% 5.00/4.52 tff(20452,plain,
% 5.00/4.52 (xuntil6(s109) | (~until5(s109))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7684, 225, 20451])).
% 5.00/4.52 tff(20453,plain,
% 5.00/4.52 (xuntil6(s109)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20452, 20450])).
% 5.00/4.52 tff(20454,plain,
% 5.00/4.52 (until5(s110)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7690, 20453])).
% 5.00/4.52 tff(20455,plain,
% 5.00/4.52 (~node4(s110)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7694, 113, 20326])).
% 5.00/4.52 tff(20456,plain,
% 5.00/4.52 (xuntil6(s110) | (~until5(s110))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7701, 225, 20455])).
% 5.00/4.52 tff(20457,plain,
% 5.00/4.52 (xuntil6(s110)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20456, 20454])).
% 5.00/4.52 tff(20458,plain,
% 5.00/4.52 (until5(s111)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7707, 20457])).
% 5.00/4.52 tff(20459,plain,
% 5.00/4.52 (~node4(s111)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7711, 113, 20325])).
% 5.00/4.52 tff(20460,plain,
% 5.00/4.52 (xuntil6(s111) | (~until5(s111))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7718, 225, 20459])).
% 5.00/4.52 tff(20461,plain,
% 5.00/4.52 (xuntil6(s111)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20460, 20458])).
% 5.00/4.52 tff(20462,plain,
% 5.00/4.52 (until5(s112)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7724, 20461])).
% 5.00/4.52 tff(20463,plain,
% 5.00/4.52 (~node4(s112)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7728, 113, 20324])).
% 5.00/4.52 tff(20464,plain,
% 5.00/4.52 (xuntil6(s112) | (~until5(s112))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7735, 225, 20463])).
% 5.00/4.52 tff(20465,plain,
% 5.00/4.52 (xuntil6(s112)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20464, 20462])).
% 5.00/4.52 tff(20466,plain,
% 5.00/4.52 (until5(s113)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7741, 20465])).
% 5.00/4.52 tff(20467,plain,
% 5.00/4.52 (~node4(s113)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7745, 113, 20323])).
% 5.00/4.52 tff(20468,plain,
% 5.00/4.52 (xuntil6(s113) | (~until5(s113))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7752, 225, 20467])).
% 5.00/4.52 tff(20469,plain,
% 5.00/4.52 (xuntil6(s113)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20468, 20466])).
% 5.00/4.52 tff(20470,plain,
% 5.00/4.52 (until5(s114)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7758, 20469])).
% 5.00/4.52 tff(20471,plain,
% 5.00/4.52 (~node4(s114)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7762, 113, 20322])).
% 5.00/4.52 tff(20472,plain,
% 5.00/4.52 (xuntil6(s114) | (~until5(s114))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7769, 225, 20471])).
% 5.00/4.52 tff(20473,plain,
% 5.00/4.52 (xuntil6(s114)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20472, 20470])).
% 5.00/4.52 tff(20474,plain,
% 5.00/4.52 (until5(s115)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7775, 20473])).
% 5.00/4.52 tff(20475,plain,
% 5.00/4.52 (~node4(s115)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7779, 113, 20321])).
% 5.00/4.52 tff(20476,plain,
% 5.00/4.52 (xuntil6(s115) | (~until5(s115))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7786, 225, 20475])).
% 5.00/4.52 tff(20477,plain,
% 5.00/4.52 (xuntil6(s115)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20476, 20474])).
% 5.00/4.52 tff(20478,plain,
% 5.00/4.52 (until5(s116)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7792, 20477])).
% 5.00/4.52 tff(20479,plain,
% 5.00/4.52 (~node4(s116)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7796, 113, 20320])).
% 5.00/4.52 tff(20480,plain,
% 5.00/4.52 (xuntil6(s116) | (~until5(s116))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7803, 225, 20479])).
% 5.00/4.52 tff(20481,plain,
% 5.00/4.52 (xuntil6(s116)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20480, 20478])).
% 5.00/4.52 tff(20482,plain,
% 5.00/4.52 (until5(s117)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7809, 20481])).
% 5.00/4.52 tff(20483,plain,
% 5.00/4.52 (~node4(s117)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7813, 113, 20319])).
% 5.00/4.52 tff(20484,plain,
% 5.00/4.52 (xuntil6(s117) | (~until5(s117))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7820, 225, 20483])).
% 5.00/4.52 tff(20485,plain,
% 5.00/4.52 (xuntil6(s117)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20484, 20482])).
% 5.00/4.52 tff(20486,plain,
% 5.00/4.52 (until5(s118)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7826, 20485])).
% 5.00/4.52 tff(20487,plain,
% 5.00/4.52 (~node4(s118)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7830, 113, 20318])).
% 5.00/4.52 tff(20488,plain,
% 5.00/4.52 (xuntil6(s118) | (~until5(s118))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7837, 225, 20487])).
% 5.00/4.52 tff(20489,plain,
% 5.00/4.52 (xuntil6(s118)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20488, 20486])).
% 5.00/4.52 tff(20490,plain,
% 5.00/4.52 (until5(s119)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7843, 20489])).
% 5.00/4.52 tff(20491,plain,
% 5.00/4.52 (~node4(s119)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7847, 113, 20317])).
% 5.00/4.52 tff(20492,plain,
% 5.00/4.52 (xuntil6(s119) | (~until5(s119))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7854, 225, 20491])).
% 5.00/4.52 tff(20493,plain,
% 5.00/4.52 (xuntil6(s119)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20492, 20490])).
% 5.00/4.52 tff(20494,plain,
% 5.00/4.52 (until5(s120)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7860, 20493])).
% 5.00/4.52 tff(20495,plain,
% 5.00/4.52 (~node4(s120)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7864, 113, 20316])).
% 5.00/4.52 tff(20496,plain,
% 5.00/4.52 (xuntil6(s120) | (~until5(s120))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7871, 225, 20495])).
% 5.00/4.52 tff(20497,plain,
% 5.00/4.52 (xuntil6(s120)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20496, 20494])).
% 5.00/4.52 tff(20498,plain,
% 5.00/4.52 (until5(s121)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7877, 20497])).
% 5.00/4.52 tff(20499,plain,
% 5.00/4.52 (~node4(s121)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7881, 113, 20315])).
% 5.00/4.52 tff(20500,plain,
% 5.00/4.52 (xuntil6(s121) | (~until5(s121))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7888, 225, 20499])).
% 5.00/4.52 tff(20501,plain,
% 5.00/4.52 (xuntil6(s121)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20500, 20498])).
% 5.00/4.52 tff(20502,plain,
% 5.00/4.52 ($false),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[7894, 20501, 20314])).
% 5.00/4.52 tff(20503,plain,(always3(s140) | xuntil6(s140)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.52 tff(20504,plain,
% 5.00/4.52 (always3(s140)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20503, 20221])).
% 5.00/4.52 tff(20505,plain,
% 5.00/4.52 (always3(s141)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5064, 20504])).
% 5.00/4.52 tff(20506,plain,
% 5.00/4.52 (((~![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)))),
% 5.00/4.52 inference(rewrite,[status(thm)],[])).
% 5.00/4.52 tff(20507,plain,
% 5.00/4.52 (((~m_main_v_state(s141, c_busy)) | (~always3(s141))) <=> ((~always3(s141)) | (~m_main_v_state(s141, c_busy)))),
% 5.00/4.52 inference(rewrite,[status(thm)],[])).
% 5.00/4.52 tff(20508,plain,
% 5.00/4.52 (((~![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))))),
% 5.00/4.52 inference(monotonicity,[status(thm)],[20507])).
% 5.00/4.52 tff(20509,plain,
% 5.00/4.52 (((~![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)))),
% 5.00/4.52 inference(transitivity,[status(thm)],[20508, 20506])).
% 5.00/4.52 tff(20510,plain,
% 5.00/4.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s141, c_busy)) | (~always3(s141)))),
% 5.00/4.52 inference(quant_inst,[status(thm)],[])).
% 5.00/4.52 tff(20511,plain,
% 5.00/4.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s141)) | (~m_main_v_state(s141, c_busy))),
% 5.00/4.52 inference(modus_ponens,[status(thm)],[20510, 20509])).
% 5.00/4.52 tff(20512,plain,
% 5.00/4.52 (~m_main_v_state(s141, c_busy)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20511, 145, 20505])).
% 5.00/4.52 tff(20513,assumption,(until5(s140)), introduced(assumption)).
% 5.00/4.52 tff(20514,plain,
% 5.00/4.52 (xuntil6(s140) | node4(s140)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5075, 225, 20513])).
% 5.00/4.52 tff(20515,plain,
% 5.00/4.52 (node4(s140)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20514, 20221])).
% 5.00/4.52 tff(20516,plain,
% 5.00/4.52 (((~![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)))),
% 5.00/4.52 inference(rewrite,[status(thm)],[])).
% 5.00/4.52 tff(20517,plain,
% 5.00/4.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s140) | (~node4(s140)))),
% 5.00/4.52 inference(quant_inst,[status(thm)],[])).
% 5.00/4.52 tff(20518,plain,
% 5.00/4.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s140) | (~node4(s140))),
% 5.00/4.52 inference(modus_ponens,[status(thm)],[20517, 20516])).
% 5.00/4.52 tff(20519,plain,
% 5.00/4.52 (m_main_v_request(s140)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20518, 63, 20515])).
% 5.00/4.52 tff(20520,plain,
% 5.00/4.52 (((~![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))),
% 5.00/4.52 inference(rewrite,[status(thm)],[])).
% 5.00/4.52 tff(20521,plain,
% 5.00/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s140, s141)) | node2(s140, s141))),
% 5.00/4.52 inference(quant_inst,[status(thm)],[])).
% 5.00/4.52 tff(20522,plain,
% 5.00/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s140, s141)) | node2(s140, s141)),
% 5.00/4.52 inference(modus_ponens,[status(thm)],[20521, 20520])).
% 5.00/4.52 tff(20523,plain,
% 5.00/4.52 (node2(s140, s141)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20522, 7, 5060])).
% 5.00/4.52 tff(20524,plain,
% 5.00/4.52 (((~![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)))),
% 5.00/4.52 inference(rewrite,[status(thm)],[])).
% 5.00/4.52 tff(20525,plain,
% 5.00/4.52 ((~![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)))),
% 5.00/4.52 inference(quant_inst,[status(thm)],[])).
% 5.00/4.52 tff(20526,plain,
% 5.00/4.52 ((~![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))),
% 5.00/4.52 inference(modus_ponens,[status(thm)],[20525, 20524])).
% 5.00/4.52 tff(20527,plain,
% 5.00/4.52 ((~m_main_v_state(s140, c_ready)) | m_main_v_state(s141, c_busy) | (~m_main_v_request(s140))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20526, 166, 20523])).
% 5.00/4.52 tff(20528,plain,
% 5.00/4.52 (~m_main_v_state(s140, c_ready)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20527, 20519, 20512])).
% 5.00/4.52 tff(20529,plain,
% 5.00/4.52 (((~![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)))),
% 5.00/4.52 inference(rewrite,[status(thm)],[])).
% 5.00/4.52 tff(20530,plain,
% 5.00/4.52 (((~m_main_v_state(s140, c_busy)) | (~always3(s140))) <=> ((~always3(s140)) | (~m_main_v_state(s140, c_busy)))),
% 5.00/4.52 inference(rewrite,[status(thm)],[])).
% 5.00/4.52 tff(20531,plain,
% 5.00/4.52 (((~![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))))),
% 5.00/4.52 inference(monotonicity,[status(thm)],[20530])).
% 5.00/4.52 tff(20532,plain,
% 5.00/4.52 (((~![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)))),
% 5.00/4.52 inference(transitivity,[status(thm)],[20531, 20529])).
% 5.00/4.52 tff(20533,plain,
% 5.00/4.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s140, c_busy)) | (~always3(s140)))),
% 5.00/4.52 inference(quant_inst,[status(thm)],[])).
% 5.00/4.52 tff(20534,plain,
% 5.00/4.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s140)) | (~m_main_v_state(s140, c_busy))),
% 5.00/4.52 inference(modus_ponens,[status(thm)],[20533, 20532])).
% 5.00/4.52 tff(20535,plain,
% 5.00/4.52 (~m_main_v_state(s140, c_busy)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20534, 145, 20504])).
% 5.00/4.52 tff(20536,plain,
% 5.00/4.52 (((~![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))),
% 5.00/4.52 inference(rewrite,[status(thm)],[])).
% 5.00/4.52 tff(20537,plain,
% 5.00/4.52 ((~![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))),
% 5.00/4.52 inference(quant_inst,[status(thm)],[])).
% 5.00/4.52 tff(20538,plain,
% 5.00/4.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s140, c_busy) | m_main_v_state(s140, c_ready)),
% 5.00/4.52 inference(modus_ponens,[status(thm)],[20537, 20536])).
% 5.00/4.52 tff(20539,plain,
% 5.00/4.52 ($false),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20538, 188, 20535, 20528])).
% 5.00/4.52 tff(20540,plain,(xuntil6(s140) | (~until5(s140))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.52 tff(20541,plain,
% 5.00/4.52 (~until5(s140)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20540, 20221])).
% 5.00/4.52 tff(20542,plain,
% 5.00/4.52 (~xuntil6(s139)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5084, 20541])).
% 5.00/4.52 tff(20543,assumption,(~xuntil6(s139)), introduced(assumption)).
% 5.00/4.52 tff(20544,assumption,(~always3(s139)), introduced(assumption)).
% 5.00/4.52 tff(20545,plain,
% 5.00/4.52 (~always3(s138)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5122, 20544])).
% 5.00/4.52 tff(20546,plain,
% 5.00/4.52 (~node4(s138)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5126, 113, 20545])).
% 5.00/4.52 tff(20547,plain,
% 5.00/4.52 (xuntil6(s138) | node4(s138)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5133, 225, 20220])).
% 5.00/4.52 tff(20548,plain,
% 5.00/4.52 (xuntil6(s138)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20547, 20546])).
% 5.00/4.52 tff(20549,plain,
% 5.00/4.52 (until5(s139)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5113, 20548])).
% 5.00/4.52 tff(20550,plain,
% 5.00/4.52 (node4(s139) | (~until5(s139))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5104, 225, 20543])).
% 5.00/4.52 tff(20551,plain,
% 5.00/4.52 (node4(s139)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20550, 20549])).
% 5.00/4.52 tff(20552,plain,
% 5.00/4.52 ($false),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5097, 113, 20544, 20551])).
% 5.00/4.52 tff(20553,plain,(always3(s139) | xuntil6(s139) | (~until5(s138))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.52 tff(20554,plain,
% 5.00/4.52 (always3(s139)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20553, 20220, 20543])).
% 5.00/4.52 tff(20555,plain,
% 5.00/4.52 (((~![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)))),
% 5.00/4.52 inference(rewrite,[status(thm)],[])).
% 5.00/4.52 tff(20556,plain,
% 5.00/4.52 (((~m_main_v_state(s139, c_busy)) | (~always3(s139))) <=> ((~always3(s139)) | (~m_main_v_state(s139, c_busy)))),
% 5.00/4.52 inference(rewrite,[status(thm)],[])).
% 5.00/4.52 tff(20557,plain,
% 5.00/4.52 (((~![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))))),
% 5.00/4.52 inference(monotonicity,[status(thm)],[20556])).
% 5.00/4.52 tff(20558,plain,
% 5.00/4.52 (((~![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)))),
% 5.00/4.52 inference(transitivity,[status(thm)],[20557, 20555])).
% 5.00/4.52 tff(20559,plain,
% 5.00/4.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s139, c_busy)) | (~always3(s139)))),
% 5.00/4.52 inference(quant_inst,[status(thm)],[])).
% 5.00/4.52 tff(20560,plain,
% 5.00/4.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s139)) | (~m_main_v_state(s139, c_busy))),
% 5.00/4.52 inference(modus_ponens,[status(thm)],[20559, 20558])).
% 5.00/4.52 tff(20561,plain,
% 5.00/4.52 (~m_main_v_state(s139, c_busy)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20560, 145, 20554])).
% 5.00/4.52 tff(20562,assumption,(~m_main_v_state(s140, c_busy)), introduced(assumption)).
% 5.00/4.52 tff(20563,plain,
% 5.00/4.52 (((~![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))),
% 5.00/4.52 inference(rewrite,[status(thm)],[])).
% 5.00/4.52 tff(20564,plain,
% 5.00/4.52 ((~![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))),
% 5.00/4.52 inference(quant_inst,[status(thm)],[])).
% 5.00/4.52 tff(20565,plain,
% 5.00/4.52 ((~![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)),
% 5.00/4.52 inference(modus_ponens,[status(thm)],[20564, 20563])).
% 5.00/4.52 tff(20566,plain,
% 5.00/4.52 (m_main_v_state(s139, c_ready)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20565, 188, 20561])).
% 5.00/4.52 tff(20567,plain,
% 5.00/4.52 (((~![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))),
% 5.00/4.52 inference(rewrite,[status(thm)],[])).
% 5.00/4.52 tff(20568,plain,
% 5.00/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s139, s140)) | node2(s139, s140))),
% 5.00/4.52 inference(quant_inst,[status(thm)],[])).
% 5.00/4.52 tff(20569,plain,
% 5.00/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s139, s140)) | node2(s139, s140)),
% 5.00/4.52 inference(modus_ponens,[status(thm)],[20568, 20567])).
% 5.00/4.52 tff(20570,plain,
% 5.00/4.52 (node2(s139, s140)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20569, 7, 5089])).
% 5.00/4.52 tff(20571,plain,
% 5.00/4.52 (((~![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(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)))),
% 5.00/4.52 inference(rewrite,[status(thm)],[])).
% 5.00/4.52 tff(20572,plain,
% 5.00/4.52 ((~![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(s139, c_ready)) | (~node2(s139, s140)) | m_main_v_state(s140, c_busy) | (~m_main_v_request(s139)))),
% 5.00/4.52 inference(quant_inst,[status(thm)],[])).
% 5.00/4.52 tff(20573,plain,
% 5.00/4.52 ((~![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(s139, c_ready)) | (~node2(s139, s140)) | m_main_v_state(s140, c_busy) | (~m_main_v_request(s139))),
% 5.00/4.52 inference(modus_ponens,[status(thm)],[20572, 20571])).
% 5.00/4.52 tff(20574,plain,
% 5.00/4.52 ((~m_main_v_state(s139, c_ready)) | m_main_v_state(s140, c_busy) | (~m_main_v_request(s139))),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20573, 166, 20570])).
% 5.00/4.52 tff(20575,plain,
% 5.00/4.52 (~m_main_v_request(s139)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20574, 20566, 20562])).
% 5.00/4.52 tff(20576,plain,
% 5.00/4.52 (((~![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)))),
% 5.00/4.52 inference(rewrite,[status(thm)],[])).
% 5.00/4.52 tff(20577,plain,
% 5.00/4.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s139) | (~node4(s139)))),
% 5.00/4.52 inference(quant_inst,[status(thm)],[])).
% 5.00/4.52 tff(20578,plain,
% 5.00/4.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s139) | (~node4(s139))),
% 5.00/4.52 inference(modus_ponens,[status(thm)],[20577, 20576])).
% 5.00/4.52 tff(20579,plain,
% 5.00/4.52 (~node4(s139)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20578, 63, 20575])).
% 5.00/4.52 tff(20580,plain,
% 5.00/4.52 (~until5(s139)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20550, 20579])).
% 5.00/4.52 tff(20581,plain,
% 5.00/4.52 (~xuntil6(s138)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[5113, 20580])).
% 5.00/4.52 tff(20582,plain,
% 5.00/4.52 (node4(s138)),
% 5.00/4.52 inference(unit_resolution,[status(thm)],[20547, 20581])).
% 5.00/4.52 tff(20583,plain,
% 5.00/4.52 (((~![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)))),
% 5.00/4.53 inference(rewrite,[status(thm)],[])).
% 5.00/4.53 tff(20584,plain,
% 5.00/4.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s138) | (~node4(s138)))),
% 5.00/4.53 inference(quant_inst,[status(thm)],[])).
% 5.00/4.53 tff(20585,plain,
% 5.00/4.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s138) | (~node4(s138))),
% 5.00/4.53 inference(modus_ponens,[status(thm)],[20584, 20583])).
% 5.00/4.53 tff(20586,plain,
% 5.00/4.53 (m_main_v_request(s138)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20585, 63, 20582])).
% 5.00/4.53 tff(20587,plain,
% 5.00/4.53 (((~![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))),
% 5.00/4.53 inference(rewrite,[status(thm)],[])).
% 5.00/4.53 tff(20588,plain,
% 5.00/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s138, s139)) | node2(s138, s139))),
% 5.00/4.53 inference(quant_inst,[status(thm)],[])).
% 5.00/4.53 tff(20589,plain,
% 5.00/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s138, s139)) | node2(s138, s139)),
% 5.00/4.53 inference(modus_ponens,[status(thm)],[20588, 20587])).
% 5.00/4.53 tff(20590,plain,
% 5.00/4.53 (node2(s138, s139)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20589, 7, 5118])).
% 5.00/4.53 tff(20591,plain,
% 5.00/4.53 (((~![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)))),
% 5.00/4.53 inference(rewrite,[status(thm)],[])).
% 5.00/4.53 tff(20592,plain,
% 5.00/4.53 ((~![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)))),
% 5.00/4.53 inference(quant_inst,[status(thm)],[])).
% 5.00/4.53 tff(20593,plain,
% 5.00/4.53 ((~![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))),
% 5.00/4.53 inference(modus_ponens,[status(thm)],[20592, 20591])).
% 5.00/4.53 tff(20594,plain,
% 5.00/4.53 ((~m_main_v_state(s138, c_ready)) | m_main_v_state(s139, c_busy) | (~m_main_v_request(s138))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20593, 166, 20590])).
% 5.00/4.53 tff(20595,plain,
% 5.00/4.53 (~m_main_v_state(s138, c_ready)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20594, 20586, 20561])).
% 5.00/4.53 tff(20596,plain,
% 5.00/4.53 (always3(s138)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5126, 113, 20582])).
% 5.00/4.53 tff(20597,plain,
% 5.00/4.53 (~m_main_v_state(s138, c_busy)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20127, 145, 20596])).
% 5.00/4.53 tff(20598,plain,
% 5.00/4.53 (((~![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))),
% 5.00/4.53 inference(rewrite,[status(thm)],[])).
% 5.00/4.53 tff(20599,plain,
% 5.00/4.53 ((~![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))),
% 5.00/4.53 inference(quant_inst,[status(thm)],[])).
% 5.00/4.53 tff(20600,plain,
% 5.00/4.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s138, c_busy) | m_main_v_state(s138, c_ready)),
% 5.00/4.53 inference(modus_ponens,[status(thm)],[20599, 20598])).
% 5.00/4.53 tff(20601,plain,
% 5.00/4.53 ($false),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20600, 188, 20597, 20595])).
% 5.00/4.53 tff(20602,plain,((~until5(s138)) | xuntil6(s139) | m_main_v_state(s140, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.53 tff(20603,plain,
% 5.00/4.53 (m_main_v_state(s140, c_busy)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20602, 20542, 20220])).
% 5.00/4.53 tff(20604,plain,
% 5.00/4.53 ($false),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20534, 145, 20504, 20603])).
% 5.00/4.53 tff(20605,plain,(xuntil6(s140) | (~until5(s138))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.53 tff(20606,plain,
% 5.00/4.53 (xuntil6(s140)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20605, 20219])).
% 5.00/4.53 tff(20607,plain,
% 5.00/4.53 (until5(s141)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5055, 20606])).
% 5.00/4.53 tff(20608,assumption,(~xuntil6(s142)), introduced(assumption)).
% 5.00/4.53 tff(20609,assumption,(~always3(s142)), introduced(assumption)).
% 5.00/4.53 tff(20610,plain,
% 5.00/4.53 (~always3(s141)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5035, 20609])).
% 5.00/4.53 tff(20611,plain,
% 5.00/4.53 (~node4(s141)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5039, 113, 20610])).
% 5.00/4.53 tff(20612,plain,
% 5.00/4.53 (~node4(s142)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5010, 113, 20609])).
% 5.00/4.53 tff(20613,plain,
% 5.00/4.53 (node4(s142) | (~until5(s142))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5017, 225, 20608])).
% 5.00/4.53 tff(20614,plain,
% 5.00/4.53 (~until5(s142)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20613, 20612])).
% 5.00/4.53 tff(20615,plain,
% 5.00/4.53 (~xuntil6(s141)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5026, 20614])).
% 5.00/4.53 tff(20616,plain,
% 5.00/4.53 (~until5(s141)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5046, 225, 20615, 20611])).
% 5.00/4.53 tff(20617,plain,
% 5.00/4.53 (~xuntil6(s140)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5055, 20616])).
% 5.00/4.53 tff(20618,plain,
% 5.00/4.53 (~always3(s140)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5064, 20610])).
% 5.00/4.53 tff(20619,plain,
% 5.00/4.53 (~node4(s140)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5068, 113, 20618])).
% 5.00/4.53 tff(20620,plain,
% 5.00/4.53 (xuntil6(s140) | (~until5(s140))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5075, 225, 20619])).
% 5.00/4.53 tff(20621,plain,
% 5.00/4.53 (~until5(s140)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20620, 20617])).
% 5.00/4.53 tff(20622,plain,
% 5.00/4.53 (~xuntil6(s139)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5084, 20621])).
% 5.00/4.53 tff(20623,plain,
% 5.00/4.53 (~always3(s139)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5093, 20618])).
% 5.00/4.53 tff(20624,plain,
% 5.00/4.53 (~node4(s139)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5097, 113, 20623])).
% 5.00/4.53 tff(20625,plain,
% 5.00/4.53 (xuntil6(s139) | (~until5(s139))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5104, 225, 20624])).
% 5.00/4.53 tff(20626,plain,
% 5.00/4.53 (~until5(s139)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20625, 20622])).
% 5.00/4.53 tff(20627,plain,
% 5.00/4.53 (~xuntil6(s138)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5113, 20626])).
% 5.00/4.53 tff(20628,plain,
% 5.00/4.53 (~always3(s138)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5122, 20623])).
% 5.00/4.53 tff(20629,plain,
% 5.00/4.53 (~node4(s138)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5126, 113, 20628])).
% 5.00/4.53 tff(20630,plain,
% 5.00/4.53 (xuntil6(s138) | (~until5(s138))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5133, 225, 20629])).
% 5.00/4.53 tff(20631,plain,
% 5.00/4.53 (~until5(s138)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20630, 20627])).
% 5.00/4.53 tff(20632,plain,
% 5.00/4.53 (~xuntil6(s137)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5142, 20631])).
% 5.00/4.53 tff(20633,plain,
% 5.00/4.53 (~always3(s137)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5151, 20628])).
% 5.00/4.53 tff(20634,plain,
% 5.00/4.53 (~node4(s137)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5155, 113, 20633])).
% 5.00/4.53 tff(20635,plain,
% 5.00/4.53 (xuntil6(s137) | (~until5(s137))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5162, 225, 20634])).
% 5.00/4.53 tff(20636,plain,
% 5.00/4.53 (~until5(s137)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20635, 20632])).
% 5.00/4.53 tff(20637,plain,
% 5.00/4.53 (~xuntil6(s136)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5171, 20636])).
% 5.00/4.53 tff(20638,plain,
% 5.00/4.53 (~always3(s136)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5180, 20633])).
% 5.00/4.53 tff(20639,plain,
% 5.00/4.53 (~node4(s136)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5184, 113, 20638])).
% 5.00/4.53 tff(20640,plain,
% 5.00/4.53 (xuntil6(s136) | (~until5(s136))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5191, 225, 20639])).
% 5.00/4.53 tff(20641,plain,
% 5.00/4.53 (~until5(s136)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20640, 20637])).
% 5.00/4.53 tff(20642,plain,
% 5.00/4.53 (~xuntil6(s135)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5200, 20641])).
% 5.00/4.53 tff(20643,plain,
% 5.00/4.53 (~always3(s135)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5209, 20638])).
% 5.00/4.53 tff(20644,plain,
% 5.00/4.53 (~node4(s135)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5213, 113, 20643])).
% 5.00/4.53 tff(20645,plain,
% 5.00/4.53 (xuntil6(s135) | (~until5(s135))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5220, 225, 20644])).
% 5.00/4.53 tff(20646,plain,
% 5.00/4.53 (~until5(s135)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20645, 20642])).
% 5.00/4.53 tff(20647,plain,
% 5.00/4.53 (~xuntil6(s134)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5229, 20646])).
% 5.00/4.53 tff(20648,plain,
% 5.00/4.53 (~always3(s134)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5238, 20643])).
% 5.00/4.53 tff(20649,plain,
% 5.00/4.53 (~node4(s134)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5242, 113, 20648])).
% 5.00/4.53 tff(20650,plain,
% 5.00/4.53 (xuntil6(s134) | (~until5(s134))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5249, 225, 20649])).
% 5.00/4.53 tff(20651,plain,
% 5.00/4.53 (~until5(s134)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20650, 20647])).
% 5.00/4.53 tff(20652,plain,
% 5.00/4.53 (~xuntil6(s133)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5258, 20651])).
% 5.00/4.53 tff(20653,plain,
% 5.00/4.53 (~always3(s133)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5267, 20648])).
% 5.00/4.53 tff(20654,plain,
% 5.00/4.53 (~node4(s133)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5271, 113, 20653])).
% 5.00/4.53 tff(20655,plain,
% 5.00/4.53 (xuntil6(s133) | (~until5(s133))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5278, 225, 20654])).
% 5.00/4.53 tff(20656,plain,
% 5.00/4.53 (~until5(s133)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20655, 20652])).
% 5.00/4.53 tff(20657,plain,
% 5.00/4.53 (~xuntil6(s132)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5287, 20656])).
% 5.00/4.53 tff(20658,plain,
% 5.00/4.53 (~always3(s132)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5296, 20653])).
% 5.00/4.53 tff(20659,plain,
% 5.00/4.53 (~node4(s132)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5300, 113, 20658])).
% 5.00/4.53 tff(20660,plain,
% 5.00/4.53 (xuntil6(s132) | (~until5(s132))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5307, 225, 20659])).
% 5.00/4.53 tff(20661,plain,
% 5.00/4.53 (~until5(s132)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20660, 20657])).
% 5.00/4.53 tff(20662,plain,
% 5.00/4.53 (~xuntil6(s131)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5316, 20661])).
% 5.00/4.53 tff(20663,plain,
% 5.00/4.53 (~always3(s131)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5325, 20658])).
% 5.00/4.53 tff(20664,plain,
% 5.00/4.53 (~node4(s131)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5329, 113, 20663])).
% 5.00/4.53 tff(20665,plain,
% 5.00/4.53 (xuntil6(s131) | (~until5(s131))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5336, 225, 20664])).
% 5.00/4.53 tff(20666,plain,
% 5.00/4.53 (~until5(s131)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20665, 20662])).
% 5.00/4.53 tff(20667,plain,
% 5.00/4.53 (~xuntil6(s130)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5345, 20666])).
% 5.00/4.53 tff(20668,plain,
% 5.00/4.53 (~always3(s130)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5354, 20663])).
% 5.00/4.53 tff(20669,plain,
% 5.00/4.53 (~node4(s130)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5358, 113, 20668])).
% 5.00/4.53 tff(20670,plain,
% 5.00/4.53 (xuntil6(s130) | (~until5(s130))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5365, 225, 20669])).
% 5.00/4.53 tff(20671,plain,
% 5.00/4.53 (~until5(s130)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20670, 20667])).
% 5.00/4.53 tff(20672,plain,
% 5.00/4.53 (~xuntil6(s129)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5374, 20671])).
% 5.00/4.53 tff(20673,plain,
% 5.00/4.53 (~always3(s129)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5383, 20668])).
% 5.00/4.53 tff(20674,plain,
% 5.00/4.53 (~node4(s129)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5387, 113, 20673])).
% 5.00/4.53 tff(20675,plain,
% 5.00/4.53 (xuntil6(s129) | (~until5(s129))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5394, 225, 20674])).
% 5.00/4.53 tff(20676,plain,
% 5.00/4.53 (~until5(s129)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20675, 20672])).
% 5.00/4.53 tff(20677,plain,
% 5.00/4.53 (~xuntil6(s128)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5403, 20676])).
% 5.00/4.53 tff(20678,plain,
% 5.00/4.53 (~always3(s128)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5412, 20673])).
% 5.00/4.53 tff(20679,plain,
% 5.00/4.53 (~node4(s128)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5416, 113, 20678])).
% 5.00/4.53 tff(20680,plain,
% 5.00/4.53 (xuntil6(s128) | (~until5(s128))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5423, 225, 20679])).
% 5.00/4.53 tff(20681,plain,
% 5.00/4.53 (~until5(s128)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20680, 20677])).
% 5.00/4.53 tff(20682,plain,
% 5.00/4.53 (~xuntil6(s127)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7996, 20681])).
% 5.00/4.53 tff(20683,plain,
% 5.00/4.53 (~always3(s127)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5436, 20678])).
% 5.00/4.53 tff(20684,plain,
% 5.00/4.53 (~node4(s127)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7983, 113, 20683])).
% 5.00/4.53 tff(20685,plain,
% 5.00/4.53 (xuntil6(s127) | (~until5(s127))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7990, 225, 20684])).
% 5.00/4.53 tff(20686,plain,
% 5.00/4.53 (~until5(s127)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20685, 20682])).
% 5.00/4.53 tff(20687,plain,
% 5.00/4.53 (~xuntil6(s126)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7979, 20686])).
% 5.00/4.53 tff(20688,plain,
% 5.00/4.53 (~always3(s126)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5448, 20683])).
% 5.00/4.53 tff(20689,plain,
% 5.00/4.53 (~node4(s126)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7966, 113, 20688])).
% 5.00/4.53 tff(20690,plain,
% 5.00/4.53 (xuntil6(s126) | (~until5(s126))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7973, 225, 20689])).
% 5.00/4.53 tff(20691,plain,
% 5.00/4.53 (~until5(s126)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20690, 20687])).
% 5.00/4.53 tff(20692,plain,
% 5.00/4.53 (~xuntil6(s125)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7962, 20691])).
% 5.00/4.53 tff(20693,plain,
% 5.00/4.53 (~always3(s125)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5460, 20688])).
% 5.00/4.53 tff(20694,plain,
% 5.00/4.53 (~node4(s125)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7949, 113, 20693])).
% 5.00/4.53 tff(20695,plain,
% 5.00/4.53 (xuntil6(s125) | (~until5(s125))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7956, 225, 20694])).
% 5.00/4.53 tff(20696,plain,
% 5.00/4.53 (~until5(s125)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20695, 20692])).
% 5.00/4.53 tff(20697,plain,
% 5.00/4.53 (~xuntil6(s124)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7945, 20696])).
% 5.00/4.53 tff(20698,plain,
% 5.00/4.53 (~always3(s124)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5472, 20693])).
% 5.00/4.53 tff(20699,plain,
% 5.00/4.53 (~node4(s124)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7932, 113, 20698])).
% 5.00/4.53 tff(20700,plain,
% 5.00/4.53 (xuntil6(s124) | (~until5(s124))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7939, 225, 20699])).
% 5.00/4.53 tff(20701,plain,
% 5.00/4.53 (~until5(s124)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20700, 20697])).
% 5.00/4.53 tff(20702,plain,
% 5.00/4.53 (~xuntil6(s123)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7928, 20701])).
% 5.00/4.53 tff(20703,plain,
% 5.00/4.53 (~always3(s123)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5484, 20698])).
% 5.00/4.53 tff(20704,plain,
% 5.00/4.53 (~node4(s123)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7915, 113, 20703])).
% 5.00/4.53 tff(20705,plain,
% 5.00/4.53 (xuntil6(s123) | (~until5(s123))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7922, 225, 20704])).
% 5.00/4.53 tff(20706,plain,
% 5.00/4.53 (~until5(s123)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20705, 20702])).
% 5.00/4.53 tff(20707,plain,
% 5.00/4.53 (~always3(s122)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5496, 20703])).
% 5.00/4.53 tff(20708,plain,
% 5.00/4.53 (~always3(s121)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5508, 20707])).
% 5.00/4.53 tff(20709,plain,
% 5.00/4.53 (~always3(s120)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5520, 20708])).
% 5.00/4.53 tff(20710,plain,
% 5.00/4.53 (~always3(s119)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5532, 20709])).
% 5.00/4.53 tff(20711,plain,
% 5.00/4.53 (~always3(s118)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5544, 20710])).
% 5.00/4.53 tff(20712,plain,
% 5.00/4.53 (~always3(s117)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5556, 20711])).
% 5.00/4.53 tff(20713,plain,
% 5.00/4.53 (~always3(s116)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5568, 20712])).
% 5.00/4.53 tff(20714,plain,
% 5.00/4.53 (~always3(s115)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5580, 20713])).
% 5.00/4.53 tff(20715,plain,
% 5.00/4.53 (~always3(s114)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5592, 20714])).
% 5.00/4.53 tff(20716,plain,
% 5.00/4.53 (~always3(s113)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5604, 20715])).
% 5.00/4.53 tff(20717,plain,
% 5.00/4.53 (~always3(s112)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5616, 20716])).
% 5.00/4.53 tff(20718,plain,
% 5.00/4.53 (~always3(s111)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5628, 20717])).
% 5.00/4.53 tff(20719,plain,
% 5.00/4.53 (~always3(s110)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5640, 20718])).
% 5.00/4.53 tff(20720,plain,
% 5.00/4.53 (~always3(s109)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5652, 20719])).
% 5.00/4.53 tff(20721,plain,
% 5.00/4.53 (~always3(s108)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5664, 20720])).
% 5.00/4.53 tff(20722,plain,
% 5.00/4.53 (~always3(s107)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5676, 20721])).
% 5.00/4.53 tff(20723,plain,
% 5.00/4.53 (~always3(s106)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5688, 20722])).
% 5.00/4.53 tff(20724,plain,
% 5.00/4.53 (~always3(s105)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5700, 20723])).
% 5.00/4.53 tff(20725,plain,
% 5.00/4.53 (~always3(s104)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5712, 20724])).
% 5.00/4.53 tff(20726,plain,
% 5.00/4.53 (~node4(s104)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5716, 113, 20725])).
% 5.00/4.53 tff(20727,plain,
% 5.00/4.53 (~always3(s103)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5728, 20725])).
% 5.00/4.53 tff(20728,plain,
% 5.00/4.53 (~always3(s102)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5740, 20727])).
% 5.00/4.53 tff(20729,plain,
% 5.00/4.53 (~always3(s101)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5752, 20728])).
% 5.00/4.53 tff(20730,plain,
% 5.00/4.53 (~always3(s100)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5764, 20729])).
% 5.00/4.53 tff(20731,plain,
% 5.00/4.53 (~always3(s99)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5776, 20730])).
% 5.00/4.53 tff(20732,plain,
% 5.00/4.53 (~always3(s98)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5788, 20731])).
% 5.00/4.53 tff(20733,plain,
% 5.00/4.53 (~always3(s97)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5800, 20732])).
% 5.00/4.53 tff(20734,plain,
% 5.00/4.53 (~always3(s96)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5812, 20733])).
% 5.00/4.53 tff(20735,plain,
% 5.00/4.53 (~always3(s95)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5824, 20734])).
% 5.00/4.53 tff(20736,plain,
% 5.00/4.53 (~always3(s94)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5836, 20735])).
% 5.00/4.53 tff(20737,plain,
% 5.00/4.53 (~always3(s93)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5848, 20736])).
% 5.00/4.53 tff(20738,plain,
% 5.00/4.53 (~always3(s92)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5860, 20737])).
% 5.00/4.53 tff(20739,plain,
% 5.00/4.53 (~always3(s91)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5872, 20738])).
% 5.00/4.53 tff(20740,plain,
% 5.00/4.53 (~always3(s90)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5884, 20739])).
% 5.00/4.53 tff(20741,plain,
% 5.00/4.53 (~always3(s89)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5896, 20740])).
% 5.00/4.53 tff(20742,plain,
% 5.00/4.53 (~always3(s88)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5908, 20741])).
% 5.00/4.53 tff(20743,plain,
% 5.00/4.53 (~always3(s87)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5920, 20742])).
% 5.00/4.53 tff(20744,plain,
% 5.00/4.53 (~always3(s86)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5932, 20743])).
% 5.00/4.53 tff(20745,plain,
% 5.00/4.53 (~always3(s85)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5944, 20744])).
% 5.00/4.53 tff(20746,plain,
% 5.00/4.53 (~always3(s84)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5956, 20745])).
% 5.00/4.53 tff(20747,plain,
% 5.00/4.53 (~always3(s83)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5968, 20746])).
% 5.00/4.53 tff(20748,plain,
% 5.00/4.53 (~always3(s82)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5980, 20747])).
% 5.00/4.53 tff(20749,plain,
% 5.00/4.53 (~always3(s81)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5992, 20748])).
% 5.00/4.53 tff(20750,plain,
% 5.00/4.53 (~always3(s80)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6004, 20749])).
% 5.00/4.53 tff(20751,plain,
% 5.00/4.53 (~always3(s79)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6016, 20750])).
% 5.00/4.53 tff(20752,plain,
% 5.00/4.53 (~always3(s78)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6028, 20751])).
% 5.00/4.53 tff(20753,plain,
% 5.00/4.53 (~always3(s77)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6040, 20752])).
% 5.00/4.53 tff(20754,plain,
% 5.00/4.53 (~always3(s76)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6052, 20753])).
% 5.00/4.53 tff(20755,plain,
% 5.00/4.53 (~always3(s75)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6064, 20754])).
% 5.00/4.53 tff(20756,plain,
% 5.00/4.53 (~always3(s74)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6076, 20755])).
% 5.00/4.53 tff(20757,plain,
% 5.00/4.53 (~always3(s73)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6088, 20756])).
% 5.00/4.53 tff(20758,plain,
% 5.00/4.53 (~always3(s72)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6100, 20757])).
% 5.00/4.53 tff(20759,plain,
% 5.00/4.53 (~always3(s71)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6112, 20758])).
% 5.00/4.53 tff(20760,plain,
% 5.00/4.53 (~always3(s70)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6124, 20759])).
% 5.00/4.53 tff(20761,plain,
% 5.00/4.53 (~always3(s69)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6136, 20760])).
% 5.00/4.53 tff(20762,plain,
% 5.00/4.53 (~always3(s68)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6148, 20761])).
% 5.00/4.53 tff(20763,plain,
% 5.00/4.53 (~always3(s67)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6160, 20762])).
% 5.00/4.53 tff(20764,plain,
% 5.00/4.53 (~always3(s66)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6172, 20763])).
% 5.00/4.53 tff(20765,plain,
% 5.00/4.53 (~always3(s65)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6184, 20764])).
% 5.00/4.53 tff(20766,plain,
% 5.00/4.53 (~always3(s64)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6196, 20765])).
% 5.00/4.53 tff(20767,plain,
% 5.00/4.53 (~always3(s63)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6208, 20766])).
% 5.00/4.53 tff(20768,plain,
% 5.00/4.53 (~always3(s62)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6220, 20767])).
% 5.00/4.53 tff(20769,plain,
% 5.00/4.53 (~always3(s61)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6232, 20768])).
% 5.00/4.53 tff(20770,plain,
% 5.00/4.53 (~always3(s60)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6244, 20769])).
% 5.00/4.53 tff(20771,plain,
% 5.00/4.53 (~always3(s59)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6256, 20770])).
% 5.00/4.53 tff(20772,plain,
% 5.00/4.53 (~always3(s58)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6268, 20771])).
% 5.00/4.53 tff(20773,plain,
% 5.00/4.53 (~always3(s57)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6280, 20772])).
% 5.00/4.53 tff(20774,plain,
% 5.00/4.53 (~always3(s56)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6292, 20773])).
% 5.00/4.53 tff(20775,plain,
% 5.00/4.53 (~always3(s55)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6304, 20774])).
% 5.00/4.53 tff(20776,plain,
% 5.00/4.53 (~always3(s54)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6316, 20775])).
% 5.00/4.53 tff(20777,plain,
% 5.00/4.53 (~always3(s53)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6328, 20776])).
% 5.00/4.53 tff(20778,plain,
% 5.00/4.53 (~always3(s52)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6340, 20777])).
% 5.00/4.53 tff(20779,plain,
% 5.00/4.53 (~always3(s51)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6352, 20778])).
% 5.00/4.53 tff(20780,plain,
% 5.00/4.53 (~always3(s50)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6364, 20779])).
% 5.00/4.53 tff(20781,plain,
% 5.00/4.53 (~always3(s49)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6376, 20780])).
% 5.00/4.53 tff(20782,plain,
% 5.00/4.53 (~always3(s48)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6388, 20781])).
% 5.00/4.53 tff(20783,plain,
% 5.00/4.53 (~always3(s47)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6400, 20782])).
% 5.00/4.53 tff(20784,plain,
% 5.00/4.53 (~always3(s46)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6412, 20783])).
% 5.00/4.53 tff(20785,plain,
% 5.00/4.53 (~always3(s45)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6424, 20784])).
% 5.00/4.53 tff(20786,plain,
% 5.00/4.53 (~always3(s44)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[6436, 20785])).
% 5.00/4.53 tff(20787,plain,
% 5.00/4.53 (~always3(s43)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[81, 20786])).
% 5.00/4.53 tff(20788,plain,
% 5.00/4.53 (~always3(s42)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[93, 20787])).
% 5.00/4.53 tff(20789,plain,
% 5.00/4.53 (~always3(s41)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[105, 20788])).
% 5.00/4.53 tff(20790,plain,
% 5.00/4.53 (~always3(s40)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[137, 20789])).
% 5.00/4.53 tff(20791,plain,
% 5.00/4.53 (~always3(s39)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[3143, 20790])).
% 5.00/4.53 tff(20792,plain,
% 5.00/4.53 (~always3(s38)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[2699, 20791])).
% 5.00/4.53 tff(20793,plain,
% 5.00/4.53 (~node4(s38)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[2678, 113, 20792])).
% 5.00/4.53 tff(20794,plain,
% 5.00/4.53 (~always3(s37)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[2375, 20792])).
% 5.00/4.53 tff(20795,plain,
% 5.00/4.53 (~always3(s36)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[2387, 20794])).
% 5.00/4.53 tff(20796,plain,
% 5.00/4.53 (~always3(s35)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[2399, 20795])).
% 5.00/4.53 tff(20797,plain,
% 5.00/4.53 (~always3(s34)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[2411, 20796])).
% 5.00/4.53 tff(20798,plain,
% 5.00/4.53 (~always3(s33)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[2423, 20797])).
% 5.00/4.53 tff(20799,plain,
% 5.00/4.53 (~always3(s32)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[2435, 20798])).
% 5.00/4.53 tff(20800,plain,
% 5.00/4.53 (~always3(s31)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[2447, 20799])).
% 5.00/4.53 tff(20801,plain,
% 5.00/4.53 (~always3(s30)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[2326, 20800])).
% 5.00/4.53 tff(20802,plain,
% 5.00/4.53 (~always3(s29)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[2229, 20801])).
% 5.00/4.53 tff(20803,plain,
% 5.00/4.53 (~always3(s28)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[2173, 20802])).
% 5.00/4.53 tff(20804,plain,
% 5.00/4.53 (~always3(s27)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[2081, 20803])).
% 5.00/4.53 tff(20805,plain,
% 5.00/4.53 (~always3(s26)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[1993, 20804])).
% 5.00/4.53 tff(20806,plain,
% 5.00/4.53 (~always3(s25)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[1873, 20805])).
% 5.00/4.53 tff(20807,plain,
% 5.00/4.53 (~always3(s24)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[1771, 20806])).
% 5.00/4.53 tff(20808,plain,
% 5.00/4.53 (~always3(s23)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[1816, 20807])).
% 5.00/4.53 tff(20809,plain,
% 5.00/4.53 (~always3(s22)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[1557, 20808])).
% 5.00/4.53 tff(20810,plain,
% 5.00/4.53 (~always3(s21)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[1306, 20809])).
% 5.00/4.53 tff(20811,plain,
% 5.00/4.53 (~always3(s20)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[1351, 20810])).
% 5.00/4.53 tff(20812,plain,
% 5.00/4.53 (~always3(s19)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[1363, 20811])).
% 5.00/4.53 tff(20813,plain,
% 5.00/4.53 (~always3(s18)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[1379, 20812])).
% 5.00/4.53 tff(20814,plain,
% 5.00/4.53 (~always3(s17)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[1395, 20813])).
% 5.00/4.53 tff(20815,plain,
% 5.00/4.53 (~always3(s16)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[1407, 20814])).
% 5.00/4.53 tff(20816,plain,
% 5.00/4.53 (~always3(s15)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[654, 20815])).
% 5.00/4.53 tff(20817,plain,
% 5.00/4.53 (xuntil6(s15)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[642, 20816])).
% 5.00/4.53 tff(20818,plain,
% 5.00/4.53 (until5(s16)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[1292, 20817])).
% 5.00/4.53 tff(20819,plain,
% 5.00/4.53 (xuntil6(s37)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[2661, 20818, 20794])).
% 5.00/4.53 tff(20820,plain,
% 5.00/4.53 (until5(s38)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[2666, 20819])).
% 5.00/4.53 tff(20821,plain,
% 5.00/4.53 (xuntil6(s38) | node4(s38)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[2673, 225, 20820])).
% 5.00/4.53 tff(20822,plain,
% 5.00/4.53 (xuntil6(s38)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20821, 20793])).
% 5.00/4.53 tff(20823,plain,
% 5.00/4.53 (until5(s39)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[3122, 20822])).
% 5.00/4.53 tff(20824,plain,
% 5.00/4.53 (xuntil6(s103)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7588, 20823, 20727])).
% 5.00/4.53 tff(20825,plain,
% 5.00/4.53 (until5(s104)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7593, 20824])).
% 5.00/4.53 tff(20826,plain,
% 5.00/4.53 (xuntil6(s104)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7600, 225, 20825, 20726])).
% 5.00/4.53 tff(20827,plain,
% 5.00/4.53 (until5(s105)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7605, 20826])).
% 5.00/4.53 tff(20828,plain,
% 5.00/4.53 (~node4(s105)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7609, 113, 20724])).
% 5.00/4.53 tff(20829,plain,
% 5.00/4.53 (xuntil6(s105) | (~until5(s105))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7616, 225, 20828])).
% 5.00/4.53 tff(20830,plain,
% 5.00/4.53 (xuntil6(s105)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20829, 20827])).
% 5.00/4.53 tff(20831,plain,
% 5.00/4.53 (until5(s106)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7622, 20830])).
% 5.00/4.53 tff(20832,plain,
% 5.00/4.53 (~node4(s106)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7626, 113, 20723])).
% 5.00/4.53 tff(20833,plain,
% 5.00/4.53 (xuntil6(s106) | (~until5(s106))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7633, 225, 20832])).
% 5.00/4.53 tff(20834,plain,
% 5.00/4.53 (xuntil6(s106)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20833, 20831])).
% 5.00/4.53 tff(20835,plain,
% 5.00/4.53 (until5(s107)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7639, 20834])).
% 5.00/4.53 tff(20836,plain,
% 5.00/4.53 (~node4(s107)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7643, 113, 20722])).
% 5.00/4.53 tff(20837,plain,
% 5.00/4.53 (xuntil6(s107) | (~until5(s107))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7650, 225, 20836])).
% 5.00/4.53 tff(20838,plain,
% 5.00/4.53 (xuntil6(s107)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20837, 20835])).
% 5.00/4.53 tff(20839,plain,
% 5.00/4.53 (until5(s108)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7656, 20838])).
% 5.00/4.53 tff(20840,plain,
% 5.00/4.53 (~node4(s108)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7660, 113, 20721])).
% 5.00/4.53 tff(20841,plain,
% 5.00/4.53 (xuntil6(s108) | (~until5(s108))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7667, 225, 20840])).
% 5.00/4.53 tff(20842,plain,
% 5.00/4.53 (xuntil6(s108)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20841, 20839])).
% 5.00/4.53 tff(20843,plain,
% 5.00/4.53 (until5(s109)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7673, 20842])).
% 5.00/4.53 tff(20844,plain,
% 5.00/4.53 (~node4(s109)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7677, 113, 20720])).
% 5.00/4.53 tff(20845,plain,
% 5.00/4.53 (xuntil6(s109) | (~until5(s109))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7684, 225, 20844])).
% 5.00/4.53 tff(20846,plain,
% 5.00/4.53 (xuntil6(s109)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20845, 20843])).
% 5.00/4.53 tff(20847,plain,
% 5.00/4.53 (until5(s110)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7690, 20846])).
% 5.00/4.53 tff(20848,plain,
% 5.00/4.53 (~node4(s110)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7694, 113, 20719])).
% 5.00/4.53 tff(20849,plain,
% 5.00/4.53 (xuntil6(s110) | (~until5(s110))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7701, 225, 20848])).
% 5.00/4.53 tff(20850,plain,
% 5.00/4.53 (xuntil6(s110)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20849, 20847])).
% 5.00/4.53 tff(20851,plain,
% 5.00/4.53 (until5(s111)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7707, 20850])).
% 5.00/4.53 tff(20852,plain,
% 5.00/4.53 (~node4(s111)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7711, 113, 20718])).
% 5.00/4.53 tff(20853,plain,
% 5.00/4.53 (xuntil6(s111) | (~until5(s111))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7718, 225, 20852])).
% 5.00/4.53 tff(20854,plain,
% 5.00/4.53 (xuntil6(s111)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20853, 20851])).
% 5.00/4.53 tff(20855,plain,
% 5.00/4.53 (until5(s112)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7724, 20854])).
% 5.00/4.53 tff(20856,plain,
% 5.00/4.53 (~node4(s112)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7728, 113, 20717])).
% 5.00/4.53 tff(20857,plain,
% 5.00/4.53 (xuntil6(s112) | (~until5(s112))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7735, 225, 20856])).
% 5.00/4.53 tff(20858,plain,
% 5.00/4.53 (xuntil6(s112)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20857, 20855])).
% 5.00/4.53 tff(20859,plain,
% 5.00/4.53 (until5(s113)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7741, 20858])).
% 5.00/4.53 tff(20860,plain,
% 5.00/4.53 (~node4(s113)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7745, 113, 20716])).
% 5.00/4.53 tff(20861,plain,
% 5.00/4.53 (xuntil6(s113) | (~until5(s113))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7752, 225, 20860])).
% 5.00/4.53 tff(20862,plain,
% 5.00/4.53 (xuntil6(s113)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20861, 20859])).
% 5.00/4.53 tff(20863,plain,
% 5.00/4.53 (until5(s114)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7758, 20862])).
% 5.00/4.53 tff(20864,plain,
% 5.00/4.53 (~node4(s114)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7762, 113, 20715])).
% 5.00/4.53 tff(20865,plain,
% 5.00/4.53 (xuntil6(s114) | (~until5(s114))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7769, 225, 20864])).
% 5.00/4.53 tff(20866,plain,
% 5.00/4.53 (xuntil6(s114)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20865, 20863])).
% 5.00/4.53 tff(20867,plain,
% 5.00/4.53 (until5(s115)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7775, 20866])).
% 5.00/4.53 tff(20868,plain,
% 5.00/4.53 (~node4(s115)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7779, 113, 20714])).
% 5.00/4.53 tff(20869,plain,
% 5.00/4.53 (xuntil6(s115) | (~until5(s115))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7786, 225, 20868])).
% 5.00/4.53 tff(20870,plain,
% 5.00/4.53 (xuntil6(s115)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20869, 20867])).
% 5.00/4.53 tff(20871,plain,
% 5.00/4.53 (until5(s116)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7792, 20870])).
% 5.00/4.53 tff(20872,plain,
% 5.00/4.53 (~node4(s116)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7796, 113, 20713])).
% 5.00/4.53 tff(20873,plain,
% 5.00/4.53 (xuntil6(s116) | (~until5(s116))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7803, 225, 20872])).
% 5.00/4.53 tff(20874,plain,
% 5.00/4.53 (xuntil6(s116)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20873, 20871])).
% 5.00/4.53 tff(20875,plain,
% 5.00/4.53 (until5(s117)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7809, 20874])).
% 5.00/4.53 tff(20876,plain,
% 5.00/4.53 (~node4(s117)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7813, 113, 20712])).
% 5.00/4.53 tff(20877,plain,
% 5.00/4.53 (xuntil6(s117) | (~until5(s117))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7820, 225, 20876])).
% 5.00/4.53 tff(20878,plain,
% 5.00/4.53 (xuntil6(s117)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20877, 20875])).
% 5.00/4.53 tff(20879,plain,
% 5.00/4.53 (until5(s118)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7826, 20878])).
% 5.00/4.53 tff(20880,plain,
% 5.00/4.53 (~node4(s118)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7830, 113, 20711])).
% 5.00/4.53 tff(20881,plain,
% 5.00/4.53 (xuntil6(s118) | (~until5(s118))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7837, 225, 20880])).
% 5.00/4.53 tff(20882,plain,
% 5.00/4.53 (xuntil6(s118)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20881, 20879])).
% 5.00/4.53 tff(20883,plain,
% 5.00/4.53 (until5(s119)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7843, 20882])).
% 5.00/4.53 tff(20884,plain,
% 5.00/4.53 (~node4(s119)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7847, 113, 20710])).
% 5.00/4.53 tff(20885,plain,
% 5.00/4.53 (xuntil6(s119) | (~until5(s119))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7854, 225, 20884])).
% 5.00/4.53 tff(20886,plain,
% 5.00/4.53 (xuntil6(s119)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20885, 20883])).
% 5.00/4.53 tff(20887,plain,
% 5.00/4.53 (until5(s120)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7860, 20886])).
% 5.00/4.53 tff(20888,plain,
% 5.00/4.53 (~node4(s120)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7864, 113, 20709])).
% 5.00/4.53 tff(20889,plain,
% 5.00/4.53 (xuntil6(s120) | (~until5(s120))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7871, 225, 20888])).
% 5.00/4.53 tff(20890,plain,
% 5.00/4.53 (xuntil6(s120)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20889, 20887])).
% 5.00/4.53 tff(20891,plain,
% 5.00/4.53 (until5(s121)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7877, 20890])).
% 5.00/4.53 tff(20892,plain,
% 5.00/4.53 (~node4(s121)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7881, 113, 20708])).
% 5.00/4.53 tff(20893,plain,
% 5.00/4.53 (xuntil6(s121) | (~until5(s121))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7888, 225, 20892])).
% 5.00/4.53 tff(20894,plain,
% 5.00/4.53 (xuntil6(s121)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20893, 20891])).
% 5.00/4.53 tff(20895,plain,
% 5.00/4.53 (until5(s122)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7894, 20894])).
% 5.00/4.53 tff(20896,plain,
% 5.00/4.53 (~node4(s122)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7898, 113, 20707])).
% 5.00/4.53 tff(20897,plain,
% 5.00/4.53 (xuntil6(s122) | (~until5(s122))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7905, 225, 20896])).
% 5.00/4.53 tff(20898,plain,
% 5.00/4.53 (xuntil6(s122)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20897, 20895])).
% 5.00/4.53 tff(20899,plain,
% 5.00/4.53 ($false),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[7911, 20898, 20706])).
% 5.00/4.53 tff(20900,plain,(always3(s142) | xuntil6(s142)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.53 tff(20901,plain,
% 5.00/4.53 (always3(s142)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20900, 20608])).
% 5.00/4.53 tff(20902,plain,
% 5.00/4.53 (always3(s143)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5006, 20901])).
% 5.00/4.53 tff(20903,plain,
% 5.00/4.53 (((~![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)))),
% 5.00/4.53 inference(rewrite,[status(thm)],[])).
% 5.00/4.53 tff(20904,plain,
% 5.00/4.53 (((~m_main_v_state(s143, c_busy)) | (~always3(s143))) <=> ((~always3(s143)) | (~m_main_v_state(s143, c_busy)))),
% 5.00/4.53 inference(rewrite,[status(thm)],[])).
% 5.00/4.53 tff(20905,plain,
% 5.00/4.53 (((~![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))))),
% 5.00/4.53 inference(monotonicity,[status(thm)],[20904])).
% 5.00/4.53 tff(20906,plain,
% 5.00/4.53 (((~![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)))),
% 5.00/4.53 inference(transitivity,[status(thm)],[20905, 20903])).
% 5.00/4.53 tff(20907,plain,
% 5.00/4.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s143, c_busy)) | (~always3(s143)))),
% 5.00/4.53 inference(quant_inst,[status(thm)],[])).
% 5.00/4.53 tff(20908,plain,
% 5.00/4.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s143)) | (~m_main_v_state(s143, c_busy))),
% 5.00/4.53 inference(modus_ponens,[status(thm)],[20907, 20906])).
% 5.00/4.53 tff(20909,plain,
% 5.00/4.53 (~m_main_v_state(s143, c_busy)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20908, 145, 20902])).
% 5.00/4.53 tff(20910,assumption,(until5(s142)), introduced(assumption)).
% 5.00/4.53 tff(20911,plain,
% 5.00/4.53 (xuntil6(s142) | node4(s142)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5017, 225, 20910])).
% 5.00/4.53 tff(20912,plain,
% 5.00/4.53 (node4(s142)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20911, 20608])).
% 5.00/4.53 tff(20913,plain,
% 5.00/4.53 (((~![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)))),
% 5.00/4.53 inference(rewrite,[status(thm)],[])).
% 5.00/4.53 tff(20914,plain,
% 5.00/4.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s142) | (~node4(s142)))),
% 5.00/4.53 inference(quant_inst,[status(thm)],[])).
% 5.00/4.53 tff(20915,plain,
% 5.00/4.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s142) | (~node4(s142))),
% 5.00/4.53 inference(modus_ponens,[status(thm)],[20914, 20913])).
% 5.00/4.53 tff(20916,plain,
% 5.00/4.53 (m_main_v_request(s142)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20915, 63, 20912])).
% 5.00/4.53 tff(20917,plain,
% 5.00/4.53 (((~![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))),
% 5.00/4.53 inference(rewrite,[status(thm)],[])).
% 5.00/4.53 tff(20918,plain,
% 5.00/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s142, s143)) | node2(s142, s143))),
% 5.00/4.53 inference(quant_inst,[status(thm)],[])).
% 5.00/4.53 tff(20919,plain,
% 5.00/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s142, s143)) | node2(s142, s143)),
% 5.00/4.53 inference(modus_ponens,[status(thm)],[20918, 20917])).
% 5.00/4.53 tff(20920,plain,
% 5.00/4.53 (node2(s142, s143)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20919, 7, 5002])).
% 5.00/4.53 tff(20921,plain,
% 5.00/4.53 (((~![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(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)))),
% 5.00/4.53 inference(rewrite,[status(thm)],[])).
% 5.00/4.53 tff(20922,plain,
% 5.00/4.53 ((~![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(s142, c_ready)) | (~node2(s142, s143)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s142)))),
% 5.00/4.53 inference(quant_inst,[status(thm)],[])).
% 5.00/4.53 tff(20923,plain,
% 5.00/4.53 ((~![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(s142, c_ready)) | (~node2(s142, s143)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s142))),
% 5.00/4.53 inference(modus_ponens,[status(thm)],[20922, 20921])).
% 5.00/4.53 tff(20924,plain,
% 5.00/4.53 ((~m_main_v_state(s142, c_ready)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s142))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20923, 166, 20920])).
% 5.00/4.53 tff(20925,plain,
% 5.00/4.53 (~m_main_v_state(s142, c_ready)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20924, 20916, 20909])).
% 5.00/4.53 tff(20926,plain,
% 5.00/4.53 (((~![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)))),
% 5.00/4.53 inference(rewrite,[status(thm)],[])).
% 5.00/4.53 tff(20927,plain,
% 5.00/4.53 (((~m_main_v_state(s142, c_busy)) | (~always3(s142))) <=> ((~always3(s142)) | (~m_main_v_state(s142, c_busy)))),
% 5.00/4.53 inference(rewrite,[status(thm)],[])).
% 5.00/4.53 tff(20928,plain,
% 5.00/4.53 (((~![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))))),
% 5.00/4.53 inference(monotonicity,[status(thm)],[20927])).
% 5.00/4.53 tff(20929,plain,
% 5.00/4.53 (((~![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)))),
% 5.00/4.53 inference(transitivity,[status(thm)],[20928, 20926])).
% 5.00/4.53 tff(20930,plain,
% 5.00/4.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s142, c_busy)) | (~always3(s142)))),
% 5.00/4.53 inference(quant_inst,[status(thm)],[])).
% 5.00/4.53 tff(20931,plain,
% 5.00/4.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s142)) | (~m_main_v_state(s142, c_busy))),
% 5.00/4.53 inference(modus_ponens,[status(thm)],[20930, 20929])).
% 5.00/4.53 tff(20932,plain,
% 5.00/4.53 (~m_main_v_state(s142, c_busy)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20931, 145, 20901])).
% 5.00/4.53 tff(20933,plain,
% 5.00/4.53 (((~![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))),
% 5.00/4.53 inference(rewrite,[status(thm)],[])).
% 5.00/4.53 tff(20934,plain,
% 5.00/4.53 ((~![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))),
% 5.00/4.53 inference(quant_inst,[status(thm)],[])).
% 5.00/4.53 tff(20935,plain,
% 5.00/4.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s142, c_busy) | m_main_v_state(s142, c_ready)),
% 5.00/4.53 inference(modus_ponens,[status(thm)],[20934, 20933])).
% 5.00/4.53 tff(20936,plain,
% 5.00/4.53 ($false),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20935, 188, 20932, 20925])).
% 5.00/4.53 tff(20937,plain,(xuntil6(s142) | (~until5(s142))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.53 tff(20938,plain,
% 5.00/4.53 (~until5(s142)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20937, 20608])).
% 5.00/4.53 tff(20939,plain,
% 5.00/4.53 (~xuntil6(s141)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5026, 20938])).
% 5.00/4.53 tff(20940,assumption,(until5(s141)), introduced(assumption)).
% 5.00/4.53 tff(20941,plain,
% 5.00/4.53 (xuntil6(s141) | node4(s141)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5046, 225, 20940])).
% 5.00/4.53 tff(20942,plain,
% 5.00/4.53 (node4(s141)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20941, 20939])).
% 5.00/4.53 tff(20943,assumption,(~m_main_v_state(s142, c_busy)), introduced(assumption)).
% 5.00/4.53 tff(20944,assumption,(node4(s141)), introduced(assumption)).
% 5.00/4.53 tff(20945,plain,
% 5.00/4.53 (((~![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)))),
% 5.00/4.53 inference(rewrite,[status(thm)],[])).
% 5.00/4.53 tff(20946,plain,
% 5.00/4.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s141) | (~node4(s141)))),
% 5.00/4.53 inference(quant_inst,[status(thm)],[])).
% 5.00/4.53 tff(20947,plain,
% 5.00/4.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s141) | (~node4(s141))),
% 5.00/4.53 inference(modus_ponens,[status(thm)],[20946, 20945])).
% 5.00/4.53 tff(20948,plain,
% 5.00/4.53 (m_main_v_request(s141)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20947, 63, 20944])).
% 5.00/4.53 tff(20949,plain,
% 5.00/4.53 (((~![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))),
% 5.00/4.53 inference(rewrite,[status(thm)],[])).
% 5.00/4.53 tff(20950,plain,
% 5.00/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s141, s142)) | node2(s141, s142))),
% 5.00/4.53 inference(quant_inst,[status(thm)],[])).
% 5.00/4.53 tff(20951,plain,
% 5.00/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s141, s142)) | node2(s141, s142)),
% 5.00/4.53 inference(modus_ponens,[status(thm)],[20950, 20949])).
% 5.00/4.53 tff(20952,plain,
% 5.00/4.53 (node2(s141, s142)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20951, 7, 5031])).
% 5.00/4.53 tff(20953,plain,
% 5.00/4.53 (((~![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(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)))),
% 5.00/4.53 inference(rewrite,[status(thm)],[])).
% 5.00/4.53 tff(20954,plain,
% 5.00/4.53 ((~![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(s141, c_ready)) | (~node2(s141, s142)) | m_main_v_state(s142, c_busy) | (~m_main_v_request(s141)))),
% 5.00/4.53 inference(quant_inst,[status(thm)],[])).
% 5.00/4.53 tff(20955,plain,
% 5.00/4.53 ((~![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(s141, c_ready)) | (~node2(s141, s142)) | m_main_v_state(s142, c_busy) | (~m_main_v_request(s141))),
% 5.00/4.53 inference(modus_ponens,[status(thm)],[20954, 20953])).
% 5.00/4.53 tff(20956,plain,
% 5.00/4.53 ((~m_main_v_state(s141, c_ready)) | m_main_v_state(s142, c_busy) | (~m_main_v_request(s141))),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20955, 166, 20952])).
% 5.00/4.53 tff(20957,plain,
% 5.00/4.53 (~m_main_v_state(s141, c_ready)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20956, 20948, 20943])).
% 5.00/4.53 tff(20958,plain,
% 5.00/4.53 (always3(s141)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[5039, 113, 20944])).
% 5.00/4.53 tff(20959,plain,
% 5.00/4.53 (~m_main_v_state(s141, c_busy)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20511, 145, 20958])).
% 5.00/4.53 tff(20960,plain,
% 5.00/4.53 (((~![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))),
% 5.00/4.53 inference(rewrite,[status(thm)],[])).
% 5.00/4.53 tff(20961,plain,
% 5.00/4.53 ((~![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))),
% 5.00/4.53 inference(quant_inst,[status(thm)],[])).
% 5.00/4.53 tff(20962,plain,
% 5.00/4.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s141, c_busy) | m_main_v_state(s141, c_ready)),
% 5.00/4.53 inference(modus_ponens,[status(thm)],[20961, 20960])).
% 5.00/4.53 tff(20963,plain,
% 5.00/4.53 ($false),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20962, 188, 20959, 20957])).
% 5.00/4.53 tff(20964,plain,((~node4(s141)) | m_main_v_state(s142, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.53 tff(20965,plain,
% 5.00/4.53 (m_main_v_state(s142, c_busy)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20964, 20942])).
% 5.00/4.53 tff(20966,plain,
% 5.00/4.53 ($false),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20931, 145, 20901, 20965])).
% 5.00/4.53 tff(20967,plain,(xuntil6(s142) | (~until5(s141))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.53 tff(20968,plain,
% 5.00/4.53 (xuntil6(s142)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20967, 20607])).
% 5.00/4.53 tff(20969,plain,
% 5.00/4.53 (until5(s143)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[4996, 20968])).
% 5.00/4.53 tff(20970,plain,
% 5.00/4.53 (always3(s144)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[4988, 4949, 4974])).
% 5.00/4.53 tff(20971,plain,
% 5.00/4.53 (((~![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)))),
% 5.00/4.53 inference(rewrite,[status(thm)],[])).
% 5.00/4.53 tff(20972,plain,
% 5.00/4.53 (((~m_main_v_state(s144, c_busy)) | (~always3(s144))) <=> ((~always3(s144)) | (~m_main_v_state(s144, c_busy)))),
% 5.00/4.53 inference(rewrite,[status(thm)],[])).
% 5.00/4.53 tff(20973,plain,
% 5.00/4.53 (((~![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))))),
% 5.00/4.53 inference(monotonicity,[status(thm)],[20972])).
% 5.00/4.53 tff(20974,plain,
% 5.00/4.53 (((~![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)))),
% 5.00/4.53 inference(transitivity,[status(thm)],[20973, 20971])).
% 5.00/4.53 tff(20975,plain,
% 5.00/4.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s144, c_busy)) | (~always3(s144)))),
% 5.00/4.53 inference(quant_inst,[status(thm)],[])).
% 5.00/4.53 tff(20976,plain,
% 5.00/4.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s144)) | (~m_main_v_state(s144, c_busy))),
% 5.00/4.53 inference(modus_ponens,[status(thm)],[20975, 20974])).
% 5.00/4.53 tff(20977,plain,
% 5.00/4.53 (~m_main_v_state(s144, c_busy)),
% 5.00/4.53 inference(unit_resolution,[status(thm)],[20976, 145, 20970])).
% 5.00/4.54 tff(20978,plain,
% 5.00/4.54 (always3(s145)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4334, 20970])).
% 5.00/4.54 tff(20979,plain,
% 5.00/4.54 (((~![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)))),
% 5.00/4.54 inference(rewrite,[status(thm)],[])).
% 5.00/4.54 tff(20980,plain,
% 5.00/4.54 (((~m_main_v_state(s145, c_busy)) | (~always3(s145))) <=> ((~always3(s145)) | (~m_main_v_state(s145, c_busy)))),
% 5.00/4.54 inference(rewrite,[status(thm)],[])).
% 5.00/4.54 tff(20981,plain,
% 5.00/4.54 (((~![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))))),
% 5.00/4.54 inference(monotonicity,[status(thm)],[20980])).
% 5.00/4.54 tff(20982,plain,
% 5.00/4.54 (((~![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)))),
% 5.00/4.54 inference(transitivity,[status(thm)],[20981, 20979])).
% 5.00/4.54 tff(20983,plain,
% 5.00/4.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s145, c_busy)) | (~always3(s145)))),
% 5.00/4.54 inference(quant_inst,[status(thm)],[])).
% 5.00/4.54 tff(20984,plain,
% 5.00/4.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s145)) | (~m_main_v_state(s145, c_busy))),
% 5.00/4.54 inference(modus_ponens,[status(thm)],[20983, 20982])).
% 5.00/4.54 tff(20985,plain,
% 5.00/4.54 (~m_main_v_state(s145, c_busy)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[20984, 145, 20978])).
% 5.00/4.54 tff(20986,plain,
% 5.00/4.54 (((~![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))),
% 5.00/4.54 inference(rewrite,[status(thm)],[])).
% 5.00/4.54 tff(20987,plain,
% 5.00/4.54 ((~![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))),
% 5.00/4.54 inference(quant_inst,[status(thm)],[])).
% 5.00/4.54 tff(20988,plain,
% 5.00/4.54 ((~![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)),
% 5.00/4.54 inference(modus_ponens,[status(thm)],[20987, 20986])).
% 5.00/4.54 tff(20989,plain,
% 5.00/4.54 (m_main_v_state(s144, c_ready)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[20988, 188, 20977])).
% 5.00/4.54 tff(20990,plain,
% 5.00/4.54 (((~![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))),
% 5.00/4.54 inference(rewrite,[status(thm)],[])).
% 5.00/4.54 tff(20991,plain,
% 5.00/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s144, s145)) | node2(s144, s145))),
% 5.00/4.54 inference(quant_inst,[status(thm)],[])).
% 5.00/4.54 tff(20992,plain,
% 5.00/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s144, s145)) | node2(s144, s145)),
% 5.00/4.54 inference(modus_ponens,[status(thm)],[20991, 20990])).
% 5.00/4.54 tff(20993,plain,
% 5.00/4.54 (node2(s144, s145)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[20992, 7, 4330])).
% 5.00/4.54 tff(20994,plain,
% 5.00/4.54 (((~![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(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)))),
% 5.00/4.54 inference(rewrite,[status(thm)],[])).
% 5.00/4.54 tff(20995,plain,
% 5.00/4.54 ((~![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(s144, c_ready)) | (~node2(s144, s145)) | m_main_v_state(s145, c_busy) | (~m_main_v_request(s144)))),
% 5.00/4.54 inference(quant_inst,[status(thm)],[])).
% 5.00/4.54 tff(20996,plain,
% 5.00/4.54 ((~![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(s144, c_ready)) | (~node2(s144, s145)) | m_main_v_state(s145, c_busy) | (~m_main_v_request(s144))),
% 5.00/4.54 inference(modus_ponens,[status(thm)],[20995, 20994])).
% 5.00/4.54 tff(20997,plain,
% 5.00/4.54 ((~m_main_v_state(s144, c_ready)) | m_main_v_state(s145, c_busy) | (~m_main_v_request(s144))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[20996, 166, 20993])).
% 5.00/4.54 tff(20998,plain,
% 5.00/4.54 (~m_main_v_request(s144)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[20997, 20989, 20985])).
% 5.00/4.54 tff(20999,plain,
% 5.00/4.54 (((~![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)))),
% 5.00/4.54 inference(rewrite,[status(thm)],[])).
% 5.00/4.54 tff(21000,plain,
% 5.00/4.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s144) | (~node4(s144)))),
% 5.00/4.54 inference(quant_inst,[status(thm)],[])).
% 5.00/4.54 tff(21001,plain,
% 5.00/4.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s144) | (~node4(s144))),
% 5.00/4.54 inference(modus_ponens,[status(thm)],[21000, 20999])).
% 5.00/4.54 tff(21002,plain,
% 5.00/4.54 (~node4(s144)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21001, 63, 20998])).
% 5.00/4.54 tff(21003,plain,
% 5.00/4.54 (~until5(s144)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4956, 21002])).
% 5.00/4.54 tff(21004,plain,
% 5.00/4.54 (~xuntil6(s143)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4986, 21003])).
% 5.00/4.54 tff(21005,plain,
% 5.00/4.54 (node4(s143)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4981, 21004])).
% 5.00/4.54 tff(21006,plain,
% 5.00/4.54 (((~![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)))),
% 5.00/4.54 inference(rewrite,[status(thm)],[])).
% 5.00/4.54 tff(21007,plain,
% 5.00/4.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s143) | (~node4(s143)))),
% 5.00/4.54 inference(quant_inst,[status(thm)],[])).
% 5.00/4.54 tff(21008,plain,
% 5.00/4.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s143) | (~node4(s143))),
% 5.00/4.54 inference(modus_ponens,[status(thm)],[21007, 21006])).
% 5.00/4.54 tff(21009,plain,
% 5.00/4.54 (m_main_v_request(s143)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21008, 63, 21005])).
% 5.00/4.54 tff(21010,plain,
% 5.00/4.54 (((~![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))),
% 5.00/4.54 inference(rewrite,[status(thm)],[])).
% 5.00/4.54 tff(21011,plain,
% 5.00/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s143, s144)) | node2(s143, s144))),
% 5.00/4.54 inference(quant_inst,[status(thm)],[])).
% 5.00/4.54 tff(21012,plain,
% 5.00/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s143, s144)) | node2(s143, s144)),
% 5.00/4.54 inference(modus_ponens,[status(thm)],[21011, 21010])).
% 5.00/4.54 tff(21013,plain,
% 5.00/4.54 (node2(s143, s144)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21012, 7, 4964])).
% 5.00/4.54 tff(21014,plain,
% 5.00/4.54 (((~![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(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)))),
% 5.00/4.54 inference(rewrite,[status(thm)],[])).
% 5.00/4.54 tff(21015,plain,
% 5.00/4.54 ((~![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(s143, c_ready)) | (~node2(s143, s144)) | m_main_v_state(s144, c_busy) | (~m_main_v_request(s143)))),
% 5.00/4.54 inference(quant_inst,[status(thm)],[])).
% 5.00/4.54 tff(21016,plain,
% 5.00/4.54 ((~![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(s143, c_ready)) | (~node2(s143, s144)) | m_main_v_state(s144, c_busy) | (~m_main_v_request(s143))),
% 5.00/4.54 inference(modus_ponens,[status(thm)],[21015, 21014])).
% 5.00/4.54 tff(21017,plain,
% 5.00/4.54 ((~m_main_v_state(s143, c_ready)) | m_main_v_state(s144, c_busy) | (~m_main_v_request(s143))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21016, 166, 21013])).
% 5.00/4.54 tff(21018,plain,
% 5.00/4.54 (~m_main_v_state(s143, c_ready)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21017, 21009, 20977])).
% 5.00/4.54 tff(21019,plain,
% 5.00/4.54 (always3(s143)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4972, 113, 21005])).
% 5.00/4.54 tff(21020,plain,
% 5.00/4.54 (~m_main_v_state(s143, c_busy)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[20908, 145, 21019])).
% 5.00/4.54 tff(21021,plain,
% 5.00/4.54 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s143, c_busy) | m_main_v_state(s143, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s143, c_busy) | m_main_v_state(s143, c_ready))),
% 5.00/4.54 inference(rewrite,[status(thm)],[])).
% 5.00/4.54 tff(21022,plain,
% 5.00/4.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s143, c_busy) | m_main_v_state(s143, c_ready))),
% 5.00/4.54 inference(quant_inst,[status(thm)],[])).
% 5.00/4.54 tff(21023,plain,
% 5.00/4.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s143, c_busy) | m_main_v_state(s143, c_ready)),
% 5.00/4.54 inference(modus_ponens,[status(thm)],[21022, 21021])).
% 5.00/4.54 tff(21024,plain,
% 5.00/4.54 ($false),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21023, 188, 21020, 21018])).
% 5.00/4.54 tff(21025,plain,(xuntil6(s144) | (~until5(s143))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.54 tff(21026,plain,
% 5.00/4.54 (xuntil6(s144)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21025, 20969])).
% 5.00/4.54 tff(21027,plain,
% 5.00/4.54 (until5(s145)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4942, 21026])).
% 5.00/4.54 tff(21028,assumption,(~always3(s145)), introduced(assumption)).
% 5.00/4.54 tff(21029,plain,
% 5.00/4.54 (~always3(s144)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4334, 21028])).
% 5.00/4.54 tff(21030,plain,
% 5.00/4.54 (~always3(s143)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4968, 21029])).
% 5.00/4.54 tff(21031,plain,
% 5.00/4.54 (~always3(s142)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5006, 21030])).
% 5.00/4.54 tff(21032,plain,
% 5.00/4.54 (~always3(s141)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5035, 21031])).
% 5.00/4.54 tff(21033,plain,
% 5.00/4.54 (~always3(s140)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5064, 21032])).
% 5.00/4.54 tff(21034,plain,
% 5.00/4.54 (~always3(s139)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5093, 21033])).
% 5.00/4.54 tff(21035,plain,
% 5.00/4.54 (~always3(s138)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5122, 21034])).
% 5.00/4.54 tff(21036,plain,
% 5.00/4.54 (~always3(s137)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5151, 21035])).
% 5.00/4.54 tff(21037,plain,
% 5.00/4.54 (~always3(s136)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5180, 21036])).
% 5.00/4.54 tff(21038,plain,
% 5.00/4.54 (~always3(s135)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5209, 21037])).
% 5.00/4.54 tff(21039,plain,
% 5.00/4.54 (~always3(s134)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5238, 21038])).
% 5.00/4.54 tff(21040,plain,
% 5.00/4.54 (~always3(s133)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5267, 21039])).
% 5.00/4.54 tff(21041,plain,
% 5.00/4.54 (~always3(s132)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5296, 21040])).
% 5.00/4.54 tff(21042,plain,
% 5.00/4.54 (~always3(s131)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5325, 21041])).
% 5.00/4.54 tff(21043,plain,
% 5.00/4.54 (~always3(s130)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5354, 21042])).
% 5.00/4.54 tff(21044,plain,
% 5.00/4.54 (~always3(s129)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5383, 21043])).
% 5.00/4.54 tff(21045,plain,
% 5.00/4.54 (~always3(s128)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5412, 21044])).
% 5.00/4.54 tff(21046,plain,
% 5.00/4.54 (~always3(s127)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5436, 21045])).
% 5.00/4.54 tff(21047,plain,
% 5.00/4.54 (~always3(s126)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5448, 21046])).
% 5.00/4.54 tff(21048,plain,
% 5.00/4.54 (~always3(s125)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5460, 21047])).
% 5.00/4.54 tff(21049,plain,
% 5.00/4.54 (~always3(s124)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5472, 21048])).
% 5.00/4.54 tff(21050,plain,
% 5.00/4.54 (~always3(s123)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5484, 21049])).
% 5.00/4.54 tff(21051,plain,
% 5.00/4.54 (~always3(s122)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5496, 21050])).
% 5.00/4.54 tff(21052,plain,
% 5.00/4.54 (~always3(s121)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5508, 21051])).
% 5.00/4.54 tff(21053,plain,
% 5.00/4.54 (~always3(s120)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5520, 21052])).
% 5.00/4.54 tff(21054,plain,
% 5.00/4.54 (~always3(s119)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5532, 21053])).
% 5.00/4.54 tff(21055,plain,
% 5.00/4.54 (~always3(s118)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5544, 21054])).
% 5.00/4.54 tff(21056,plain,
% 5.00/4.54 (~always3(s117)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5556, 21055])).
% 5.00/4.54 tff(21057,plain,
% 5.00/4.54 (~always3(s116)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5568, 21056])).
% 5.00/4.54 tff(21058,plain,
% 5.00/4.54 (~always3(s115)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5580, 21057])).
% 5.00/4.54 tff(21059,plain,
% 5.00/4.54 (~always3(s114)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5592, 21058])).
% 5.00/4.54 tff(21060,plain,
% 5.00/4.54 (~always3(s113)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5604, 21059])).
% 5.00/4.54 tff(21061,plain,
% 5.00/4.54 (~always3(s112)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5616, 21060])).
% 5.00/4.54 tff(21062,plain,
% 5.00/4.54 (~always3(s111)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5628, 21061])).
% 5.00/4.54 tff(21063,plain,
% 5.00/4.54 (~always3(s110)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5640, 21062])).
% 5.00/4.54 tff(21064,plain,
% 5.00/4.54 (~always3(s109)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5652, 21063])).
% 5.00/4.54 tff(21065,plain,
% 5.00/4.54 (~always3(s108)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5664, 21064])).
% 5.00/4.54 tff(21066,plain,
% 5.00/4.54 (~always3(s107)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5676, 21065])).
% 5.00/4.54 tff(21067,plain,
% 5.00/4.54 (~always3(s106)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5688, 21066])).
% 5.00/4.54 tff(21068,plain,
% 5.00/4.54 (~always3(s105)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5700, 21067])).
% 5.00/4.54 tff(21069,plain,
% 5.00/4.54 (~always3(s104)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5712, 21068])).
% 5.00/4.54 tff(21070,plain,
% 5.00/4.54 (~node4(s104)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5716, 113, 21069])).
% 5.00/4.54 tff(21071,plain,
% 5.00/4.54 (~always3(s103)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5728, 21069])).
% 5.00/4.54 tff(21072,plain,
% 5.00/4.54 (~always3(s102)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5740, 21071])).
% 5.00/4.54 tff(21073,plain,
% 5.00/4.54 (~always3(s101)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5752, 21072])).
% 5.00/4.54 tff(21074,plain,
% 5.00/4.54 (~always3(s100)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5764, 21073])).
% 5.00/4.54 tff(21075,plain,
% 5.00/4.54 (~always3(s99)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5776, 21074])).
% 5.00/4.54 tff(21076,plain,
% 5.00/4.54 (~always3(s98)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5788, 21075])).
% 5.00/4.54 tff(21077,plain,
% 5.00/4.54 (~always3(s97)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5800, 21076])).
% 5.00/4.54 tff(21078,plain,
% 5.00/4.54 (~always3(s96)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5812, 21077])).
% 5.00/4.54 tff(21079,plain,
% 5.00/4.54 (~always3(s95)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5824, 21078])).
% 5.00/4.54 tff(21080,plain,
% 5.00/4.54 (~always3(s94)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5836, 21079])).
% 5.00/4.54 tff(21081,plain,
% 5.00/4.54 (~always3(s93)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5848, 21080])).
% 5.00/4.54 tff(21082,plain,
% 5.00/4.54 (~always3(s92)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5860, 21081])).
% 5.00/4.54 tff(21083,plain,
% 5.00/4.54 (~always3(s91)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5872, 21082])).
% 5.00/4.54 tff(21084,plain,
% 5.00/4.54 (~always3(s90)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5884, 21083])).
% 5.00/4.54 tff(21085,plain,
% 5.00/4.54 (~always3(s89)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5896, 21084])).
% 5.00/4.54 tff(21086,plain,
% 5.00/4.54 (~always3(s88)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5908, 21085])).
% 5.00/4.54 tff(21087,plain,
% 5.00/4.54 (~always3(s87)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5920, 21086])).
% 5.00/4.54 tff(21088,plain,
% 5.00/4.54 (~always3(s86)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5932, 21087])).
% 5.00/4.54 tff(21089,plain,
% 5.00/4.54 (~always3(s85)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5944, 21088])).
% 5.00/4.54 tff(21090,plain,
% 5.00/4.54 (~always3(s84)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5956, 21089])).
% 5.00/4.54 tff(21091,plain,
% 5.00/4.54 (~always3(s83)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5968, 21090])).
% 5.00/4.54 tff(21092,plain,
% 5.00/4.54 (~always3(s82)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5980, 21091])).
% 5.00/4.54 tff(21093,plain,
% 5.00/4.54 (~always3(s81)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5992, 21092])).
% 5.00/4.54 tff(21094,plain,
% 5.00/4.54 (~always3(s80)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6004, 21093])).
% 5.00/4.54 tff(21095,plain,
% 5.00/4.54 (~always3(s79)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6016, 21094])).
% 5.00/4.54 tff(21096,plain,
% 5.00/4.54 (~always3(s78)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6028, 21095])).
% 5.00/4.54 tff(21097,plain,
% 5.00/4.54 (~always3(s77)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6040, 21096])).
% 5.00/4.54 tff(21098,plain,
% 5.00/4.54 (~always3(s76)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6052, 21097])).
% 5.00/4.54 tff(21099,plain,
% 5.00/4.54 (~always3(s75)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6064, 21098])).
% 5.00/4.54 tff(21100,plain,
% 5.00/4.54 (~always3(s74)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6076, 21099])).
% 5.00/4.54 tff(21101,plain,
% 5.00/4.54 (~always3(s73)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6088, 21100])).
% 5.00/4.54 tff(21102,plain,
% 5.00/4.54 (~always3(s72)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6100, 21101])).
% 5.00/4.54 tff(21103,plain,
% 5.00/4.54 (~always3(s71)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6112, 21102])).
% 5.00/4.54 tff(21104,plain,
% 5.00/4.54 (~always3(s70)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6124, 21103])).
% 5.00/4.54 tff(21105,plain,
% 5.00/4.54 (~always3(s69)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6136, 21104])).
% 5.00/4.54 tff(21106,plain,
% 5.00/4.54 (~always3(s68)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6148, 21105])).
% 5.00/4.54 tff(21107,plain,
% 5.00/4.54 (~always3(s67)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6160, 21106])).
% 5.00/4.54 tff(21108,plain,
% 5.00/4.54 (~always3(s66)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6172, 21107])).
% 5.00/4.54 tff(21109,plain,
% 5.00/4.54 (~always3(s65)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6184, 21108])).
% 5.00/4.54 tff(21110,plain,
% 5.00/4.54 (~always3(s64)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6196, 21109])).
% 5.00/4.54 tff(21111,plain,
% 5.00/4.54 (~always3(s63)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6208, 21110])).
% 5.00/4.54 tff(21112,plain,
% 5.00/4.54 (~always3(s62)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6220, 21111])).
% 5.00/4.54 tff(21113,plain,
% 5.00/4.54 (~always3(s61)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6232, 21112])).
% 5.00/4.54 tff(21114,plain,
% 5.00/4.54 (~always3(s60)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6244, 21113])).
% 5.00/4.54 tff(21115,plain,
% 5.00/4.54 (~always3(s59)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6256, 21114])).
% 5.00/4.54 tff(21116,plain,
% 5.00/4.54 (~always3(s58)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6268, 21115])).
% 5.00/4.54 tff(21117,plain,
% 5.00/4.54 (~always3(s57)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6280, 21116])).
% 5.00/4.54 tff(21118,plain,
% 5.00/4.54 (~always3(s56)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6292, 21117])).
% 5.00/4.54 tff(21119,plain,
% 5.00/4.54 (~always3(s55)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6304, 21118])).
% 5.00/4.54 tff(21120,plain,
% 5.00/4.54 (~always3(s54)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6316, 21119])).
% 5.00/4.54 tff(21121,plain,
% 5.00/4.54 (~always3(s53)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6328, 21120])).
% 5.00/4.54 tff(21122,plain,
% 5.00/4.54 (~always3(s52)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6340, 21121])).
% 5.00/4.54 tff(21123,plain,
% 5.00/4.54 (~always3(s51)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6352, 21122])).
% 5.00/4.54 tff(21124,plain,
% 5.00/4.54 (~always3(s50)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6364, 21123])).
% 5.00/4.54 tff(21125,plain,
% 5.00/4.54 (~always3(s49)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6376, 21124])).
% 5.00/4.54 tff(21126,plain,
% 5.00/4.54 (~always3(s48)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6388, 21125])).
% 5.00/4.54 tff(21127,plain,
% 5.00/4.54 (~always3(s47)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6400, 21126])).
% 5.00/4.54 tff(21128,plain,
% 5.00/4.54 (~always3(s46)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6412, 21127])).
% 5.00/4.54 tff(21129,plain,
% 5.00/4.54 (~always3(s45)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6424, 21128])).
% 5.00/4.54 tff(21130,plain,
% 5.00/4.54 (~always3(s44)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[6436, 21129])).
% 5.00/4.54 tff(21131,plain,
% 5.00/4.54 (~always3(s43)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[81, 21130])).
% 5.00/4.54 tff(21132,plain,
% 5.00/4.54 (~always3(s42)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[93, 21131])).
% 5.00/4.54 tff(21133,plain,
% 5.00/4.54 (~always3(s41)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[105, 21132])).
% 5.00/4.54 tff(21134,plain,
% 5.00/4.54 (~always3(s40)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[137, 21133])).
% 5.00/4.54 tff(21135,plain,
% 5.00/4.54 (~always3(s39)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[3143, 21134])).
% 5.00/4.54 tff(21136,plain,
% 5.00/4.54 (~always3(s38)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[2699, 21135])).
% 5.00/4.54 tff(21137,plain,
% 5.00/4.54 (~node4(s38)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[2678, 113, 21136])).
% 5.00/4.54 tff(21138,plain,
% 5.00/4.54 (~always3(s37)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[2375, 21136])).
% 5.00/4.54 tff(21139,plain,
% 5.00/4.54 (~always3(s36)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[2387, 21138])).
% 5.00/4.54 tff(21140,plain,
% 5.00/4.54 (~always3(s35)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[2399, 21139])).
% 5.00/4.54 tff(21141,plain,
% 5.00/4.54 (~always3(s34)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[2411, 21140])).
% 5.00/4.54 tff(21142,plain,
% 5.00/4.54 (~always3(s33)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[2423, 21141])).
% 5.00/4.54 tff(21143,plain,
% 5.00/4.54 (~always3(s32)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[2435, 21142])).
% 5.00/4.54 tff(21144,plain,
% 5.00/4.54 (~always3(s31)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[2447, 21143])).
% 5.00/4.54 tff(21145,plain,
% 5.00/4.54 (~always3(s30)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[2326, 21144])).
% 5.00/4.54 tff(21146,plain,
% 5.00/4.54 (~always3(s29)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[2229, 21145])).
% 5.00/4.54 tff(21147,plain,
% 5.00/4.54 (~always3(s28)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[2173, 21146])).
% 5.00/4.54 tff(21148,plain,
% 5.00/4.54 (~always3(s27)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[2081, 21147])).
% 5.00/4.54 tff(21149,plain,
% 5.00/4.54 (~always3(s26)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[1993, 21148])).
% 5.00/4.54 tff(21150,plain,
% 5.00/4.54 (~always3(s25)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[1873, 21149])).
% 5.00/4.54 tff(21151,plain,
% 5.00/4.54 (~always3(s24)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[1771, 21150])).
% 5.00/4.54 tff(21152,plain,
% 5.00/4.54 (~always3(s23)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[1816, 21151])).
% 5.00/4.54 tff(21153,plain,
% 5.00/4.54 (~always3(s22)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[1557, 21152])).
% 5.00/4.54 tff(21154,plain,
% 5.00/4.54 (~always3(s21)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[1306, 21153])).
% 5.00/4.54 tff(21155,plain,
% 5.00/4.54 (~always3(s20)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[1351, 21154])).
% 5.00/4.54 tff(21156,plain,
% 5.00/4.54 (~always3(s19)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[1363, 21155])).
% 5.00/4.54 tff(21157,plain,
% 5.00/4.54 (~always3(s18)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[1379, 21156])).
% 5.00/4.54 tff(21158,plain,
% 5.00/4.54 (~always3(s17)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[1395, 21157])).
% 5.00/4.54 tff(21159,plain,
% 5.00/4.54 (~always3(s16)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[1407, 21158])).
% 5.00/4.54 tff(21160,plain,
% 5.00/4.54 (~always3(s15)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[654, 21159])).
% 5.00/4.54 tff(21161,plain,
% 5.00/4.54 (xuntil6(s15)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[642, 21160])).
% 5.00/4.54 tff(21162,plain,
% 5.00/4.54 (until5(s16)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[1292, 21161])).
% 5.00/4.54 tff(21163,plain,
% 5.00/4.54 (xuntil6(s37)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[2661, 21162, 21138])).
% 5.00/4.54 tff(21164,plain,
% 5.00/4.54 (until5(s38)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[2666, 21163])).
% 5.00/4.54 tff(21165,plain,
% 5.00/4.54 (xuntil6(s38) | node4(s38)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[2673, 225, 21164])).
% 5.00/4.54 tff(21166,plain,
% 5.00/4.54 (xuntil6(s38)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21165, 21137])).
% 5.00/4.54 tff(21167,plain,
% 5.00/4.54 (until5(s39)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[3122, 21166])).
% 5.00/4.54 tff(21168,plain,
% 5.00/4.54 (xuntil6(s103)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7588, 21167, 21071])).
% 5.00/4.54 tff(21169,plain,
% 5.00/4.54 (until5(s104)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7593, 21168])).
% 5.00/4.54 tff(21170,plain,
% 5.00/4.54 (xuntil6(s104)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7600, 225, 21169, 21070])).
% 5.00/4.54 tff(21171,plain,
% 5.00/4.54 (until5(s105)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7605, 21170])).
% 5.00/4.54 tff(21172,plain,
% 5.00/4.54 (~node4(s105)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7609, 113, 21068])).
% 5.00/4.54 tff(21173,plain,
% 5.00/4.54 (xuntil6(s105) | (~until5(s105))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7616, 225, 21172])).
% 5.00/4.54 tff(21174,plain,
% 5.00/4.54 (xuntil6(s105)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21173, 21171])).
% 5.00/4.54 tff(21175,plain,
% 5.00/4.54 (until5(s106)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7622, 21174])).
% 5.00/4.54 tff(21176,plain,
% 5.00/4.54 (~node4(s106)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7626, 113, 21067])).
% 5.00/4.54 tff(21177,plain,
% 5.00/4.54 (xuntil6(s106) | (~until5(s106))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7633, 225, 21176])).
% 5.00/4.54 tff(21178,plain,
% 5.00/4.54 (xuntil6(s106)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21177, 21175])).
% 5.00/4.54 tff(21179,plain,
% 5.00/4.54 (until5(s107)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7639, 21178])).
% 5.00/4.54 tff(21180,plain,
% 5.00/4.54 (~node4(s107)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7643, 113, 21066])).
% 5.00/4.54 tff(21181,plain,
% 5.00/4.54 (xuntil6(s107) | (~until5(s107))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7650, 225, 21180])).
% 5.00/4.54 tff(21182,plain,
% 5.00/4.54 (xuntil6(s107)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21181, 21179])).
% 5.00/4.54 tff(21183,plain,
% 5.00/4.54 (until5(s108)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7656, 21182])).
% 5.00/4.54 tff(21184,plain,
% 5.00/4.54 (~node4(s108)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7660, 113, 21065])).
% 5.00/4.54 tff(21185,plain,
% 5.00/4.54 (xuntil6(s108) | (~until5(s108))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7667, 225, 21184])).
% 5.00/4.54 tff(21186,plain,
% 5.00/4.54 (xuntil6(s108)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21185, 21183])).
% 5.00/4.54 tff(21187,plain,
% 5.00/4.54 (until5(s109)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7673, 21186])).
% 5.00/4.54 tff(21188,plain,
% 5.00/4.54 (~node4(s109)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7677, 113, 21064])).
% 5.00/4.54 tff(21189,plain,
% 5.00/4.54 (xuntil6(s109) | (~until5(s109))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7684, 225, 21188])).
% 5.00/4.54 tff(21190,plain,
% 5.00/4.54 (xuntil6(s109)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21189, 21187])).
% 5.00/4.54 tff(21191,plain,
% 5.00/4.54 (until5(s110)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7690, 21190])).
% 5.00/4.54 tff(21192,plain,
% 5.00/4.54 (~node4(s110)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7694, 113, 21063])).
% 5.00/4.54 tff(21193,plain,
% 5.00/4.54 (xuntil6(s110) | (~until5(s110))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7701, 225, 21192])).
% 5.00/4.54 tff(21194,plain,
% 5.00/4.54 (xuntil6(s110)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21193, 21191])).
% 5.00/4.54 tff(21195,plain,
% 5.00/4.54 (until5(s111)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7707, 21194])).
% 5.00/4.54 tff(21196,plain,
% 5.00/4.54 (~node4(s111)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7711, 113, 21062])).
% 5.00/4.54 tff(21197,plain,
% 5.00/4.54 (xuntil6(s111) | (~until5(s111))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7718, 225, 21196])).
% 5.00/4.54 tff(21198,plain,
% 5.00/4.54 (xuntil6(s111)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21197, 21195])).
% 5.00/4.54 tff(21199,plain,
% 5.00/4.54 (until5(s112)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7724, 21198])).
% 5.00/4.54 tff(21200,plain,
% 5.00/4.54 (~node4(s112)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7728, 113, 21061])).
% 5.00/4.54 tff(21201,plain,
% 5.00/4.54 (xuntil6(s112) | (~until5(s112))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7735, 225, 21200])).
% 5.00/4.54 tff(21202,plain,
% 5.00/4.54 (xuntil6(s112)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21201, 21199])).
% 5.00/4.54 tff(21203,plain,
% 5.00/4.54 (until5(s113)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7741, 21202])).
% 5.00/4.54 tff(21204,plain,
% 5.00/4.54 (~node4(s113)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7745, 113, 21060])).
% 5.00/4.54 tff(21205,plain,
% 5.00/4.54 (xuntil6(s113) | (~until5(s113))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7752, 225, 21204])).
% 5.00/4.54 tff(21206,plain,
% 5.00/4.54 (xuntil6(s113)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21205, 21203])).
% 5.00/4.54 tff(21207,plain,
% 5.00/4.54 (until5(s114)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7758, 21206])).
% 5.00/4.54 tff(21208,plain,
% 5.00/4.54 (~node4(s114)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7762, 113, 21059])).
% 5.00/4.54 tff(21209,plain,
% 5.00/4.54 (xuntil6(s114) | (~until5(s114))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7769, 225, 21208])).
% 5.00/4.54 tff(21210,plain,
% 5.00/4.54 (xuntil6(s114)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21209, 21207])).
% 5.00/4.54 tff(21211,plain,
% 5.00/4.54 (until5(s115)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7775, 21210])).
% 5.00/4.54 tff(21212,plain,
% 5.00/4.54 (~node4(s115)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7779, 113, 21058])).
% 5.00/4.54 tff(21213,plain,
% 5.00/4.54 (xuntil6(s115) | (~until5(s115))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7786, 225, 21212])).
% 5.00/4.54 tff(21214,plain,
% 5.00/4.54 (xuntil6(s115)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21213, 21211])).
% 5.00/4.54 tff(21215,plain,
% 5.00/4.54 (until5(s116)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7792, 21214])).
% 5.00/4.54 tff(21216,plain,
% 5.00/4.54 (~node4(s116)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7796, 113, 21057])).
% 5.00/4.54 tff(21217,plain,
% 5.00/4.54 (xuntil6(s116) | (~until5(s116))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7803, 225, 21216])).
% 5.00/4.54 tff(21218,plain,
% 5.00/4.54 (xuntil6(s116)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21217, 21215])).
% 5.00/4.54 tff(21219,plain,
% 5.00/4.54 (until5(s117)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7809, 21218])).
% 5.00/4.54 tff(21220,plain,
% 5.00/4.54 (~node4(s117)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7813, 113, 21056])).
% 5.00/4.54 tff(21221,plain,
% 5.00/4.54 (xuntil6(s117) | (~until5(s117))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7820, 225, 21220])).
% 5.00/4.54 tff(21222,plain,
% 5.00/4.54 (xuntil6(s117)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21221, 21219])).
% 5.00/4.54 tff(21223,plain,
% 5.00/4.54 (until5(s118)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7826, 21222])).
% 5.00/4.54 tff(21224,plain,
% 5.00/4.54 (~node4(s118)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7830, 113, 21055])).
% 5.00/4.54 tff(21225,plain,
% 5.00/4.54 (xuntil6(s118) | (~until5(s118))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7837, 225, 21224])).
% 5.00/4.54 tff(21226,plain,
% 5.00/4.54 (xuntil6(s118)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21225, 21223])).
% 5.00/4.54 tff(21227,plain,
% 5.00/4.54 (until5(s119)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7843, 21226])).
% 5.00/4.54 tff(21228,plain,
% 5.00/4.54 (~node4(s119)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7847, 113, 21054])).
% 5.00/4.54 tff(21229,plain,
% 5.00/4.54 (xuntil6(s119) | (~until5(s119))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7854, 225, 21228])).
% 5.00/4.54 tff(21230,plain,
% 5.00/4.54 (xuntil6(s119)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21229, 21227])).
% 5.00/4.54 tff(21231,plain,
% 5.00/4.54 (until5(s120)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7860, 21230])).
% 5.00/4.54 tff(21232,plain,
% 5.00/4.54 (~node4(s120)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7864, 113, 21053])).
% 5.00/4.54 tff(21233,plain,
% 5.00/4.54 (xuntil6(s120) | (~until5(s120))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7871, 225, 21232])).
% 5.00/4.54 tff(21234,plain,
% 5.00/4.54 (xuntil6(s120)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21233, 21231])).
% 5.00/4.54 tff(21235,plain,
% 5.00/4.54 (until5(s121)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7877, 21234])).
% 5.00/4.54 tff(21236,plain,
% 5.00/4.54 (~node4(s121)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7881, 113, 21052])).
% 5.00/4.54 tff(21237,plain,
% 5.00/4.54 (xuntil6(s121) | (~until5(s121))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7888, 225, 21236])).
% 5.00/4.54 tff(21238,plain,
% 5.00/4.54 (xuntil6(s121)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21237, 21235])).
% 5.00/4.54 tff(21239,plain,
% 5.00/4.54 (until5(s122)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7894, 21238])).
% 5.00/4.54 tff(21240,plain,
% 5.00/4.54 (~node4(s122)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7898, 113, 21051])).
% 5.00/4.54 tff(21241,plain,
% 5.00/4.54 (xuntil6(s122) | (~until5(s122))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7905, 225, 21240])).
% 5.00/4.54 tff(21242,plain,
% 5.00/4.54 (xuntil6(s122)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21241, 21239])).
% 5.00/4.54 tff(21243,plain,
% 5.00/4.54 (until5(s123)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7911, 21242])).
% 5.00/4.54 tff(21244,plain,
% 5.00/4.54 (~node4(s123)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7915, 113, 21050])).
% 5.00/4.54 tff(21245,plain,
% 5.00/4.54 (xuntil6(s123) | (~until5(s123))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7922, 225, 21244])).
% 5.00/4.54 tff(21246,plain,
% 5.00/4.54 (xuntil6(s123)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21245, 21243])).
% 5.00/4.54 tff(21247,plain,
% 5.00/4.54 (until5(s124)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7928, 21246])).
% 5.00/4.54 tff(21248,plain,
% 5.00/4.54 (~node4(s124)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7932, 113, 21049])).
% 5.00/4.54 tff(21249,plain,
% 5.00/4.54 (xuntil6(s124) | (~until5(s124))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7939, 225, 21248])).
% 5.00/4.54 tff(21250,plain,
% 5.00/4.54 (xuntil6(s124)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21249, 21247])).
% 5.00/4.54 tff(21251,plain,
% 5.00/4.54 (until5(s125)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7945, 21250])).
% 5.00/4.54 tff(21252,plain,
% 5.00/4.54 (~node4(s125)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7949, 113, 21048])).
% 5.00/4.54 tff(21253,plain,
% 5.00/4.54 (xuntil6(s125) | (~until5(s125))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7956, 225, 21252])).
% 5.00/4.54 tff(21254,plain,
% 5.00/4.54 (xuntil6(s125)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21253, 21251])).
% 5.00/4.54 tff(21255,plain,
% 5.00/4.54 (until5(s126)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7962, 21254])).
% 5.00/4.54 tff(21256,plain,
% 5.00/4.54 (~node4(s126)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7966, 113, 21047])).
% 5.00/4.54 tff(21257,plain,
% 5.00/4.54 (xuntil6(s126) | (~until5(s126))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7973, 225, 21256])).
% 5.00/4.54 tff(21258,plain,
% 5.00/4.54 (xuntil6(s126)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21257, 21255])).
% 5.00/4.54 tff(21259,plain,
% 5.00/4.54 (until5(s127)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7979, 21258])).
% 5.00/4.54 tff(21260,plain,
% 5.00/4.54 (~node4(s127)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7983, 113, 21046])).
% 5.00/4.54 tff(21261,plain,
% 5.00/4.54 (xuntil6(s127) | (~until5(s127))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7990, 225, 21260])).
% 5.00/4.54 tff(21262,plain,
% 5.00/4.54 (xuntil6(s127)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21261, 21259])).
% 5.00/4.54 tff(21263,plain,
% 5.00/4.54 (until5(s128)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[7996, 21262])).
% 5.00/4.54 tff(21264,plain,
% 5.00/4.54 (~node4(s128)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5416, 113, 21045])).
% 5.00/4.54 tff(21265,plain,
% 5.00/4.54 (xuntil6(s128) | (~until5(s128))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5423, 225, 21264])).
% 5.00/4.54 tff(21266,plain,
% 5.00/4.54 (xuntil6(s128)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21265, 21263])).
% 5.00/4.54 tff(21267,plain,
% 5.00/4.54 (until5(s129)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5403, 21266])).
% 5.00/4.54 tff(21268,plain,
% 5.00/4.54 (~node4(s129)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5387, 113, 21044])).
% 5.00/4.54 tff(21269,plain,
% 5.00/4.54 (xuntil6(s129) | (~until5(s129))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5394, 225, 21268])).
% 5.00/4.54 tff(21270,plain,
% 5.00/4.54 (xuntil6(s129)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21269, 21267])).
% 5.00/4.54 tff(21271,plain,
% 5.00/4.54 (until5(s130)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5374, 21270])).
% 5.00/4.54 tff(21272,plain,
% 5.00/4.54 (~node4(s130)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5358, 113, 21043])).
% 5.00/4.54 tff(21273,plain,
% 5.00/4.54 (xuntil6(s130) | (~until5(s130))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5365, 225, 21272])).
% 5.00/4.54 tff(21274,plain,
% 5.00/4.54 (xuntil6(s130)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21273, 21271])).
% 5.00/4.54 tff(21275,plain,
% 5.00/4.54 (until5(s131)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5345, 21274])).
% 5.00/4.54 tff(21276,plain,
% 5.00/4.54 (~node4(s131)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5329, 113, 21042])).
% 5.00/4.54 tff(21277,plain,
% 5.00/4.54 (xuntil6(s131) | (~until5(s131))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5336, 225, 21276])).
% 5.00/4.54 tff(21278,plain,
% 5.00/4.54 (xuntil6(s131)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21277, 21275])).
% 5.00/4.54 tff(21279,plain,
% 5.00/4.54 (until5(s132)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5316, 21278])).
% 5.00/4.54 tff(21280,plain,
% 5.00/4.54 (~node4(s132)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5300, 113, 21041])).
% 5.00/4.54 tff(21281,plain,
% 5.00/4.54 (xuntil6(s132) | (~until5(s132))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5307, 225, 21280])).
% 5.00/4.54 tff(21282,plain,
% 5.00/4.54 (xuntil6(s132)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21281, 21279])).
% 5.00/4.54 tff(21283,plain,
% 5.00/4.54 (until5(s133)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5287, 21282])).
% 5.00/4.54 tff(21284,plain,
% 5.00/4.54 (~node4(s133)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5271, 113, 21040])).
% 5.00/4.54 tff(21285,plain,
% 5.00/4.54 (xuntil6(s133) | (~until5(s133))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5278, 225, 21284])).
% 5.00/4.54 tff(21286,plain,
% 5.00/4.54 (xuntil6(s133)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21285, 21283])).
% 5.00/4.54 tff(21287,plain,
% 5.00/4.54 (until5(s134)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5258, 21286])).
% 5.00/4.54 tff(21288,plain,
% 5.00/4.54 (~node4(s134)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5242, 113, 21039])).
% 5.00/4.54 tff(21289,plain,
% 5.00/4.54 (xuntil6(s134) | (~until5(s134))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5249, 225, 21288])).
% 5.00/4.54 tff(21290,plain,
% 5.00/4.54 (xuntil6(s134)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21289, 21287])).
% 5.00/4.54 tff(21291,plain,
% 5.00/4.54 (until5(s135)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5229, 21290])).
% 5.00/4.54 tff(21292,plain,
% 5.00/4.54 (~node4(s135)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5213, 113, 21038])).
% 5.00/4.54 tff(21293,plain,
% 5.00/4.54 (xuntil6(s135) | (~until5(s135))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5220, 225, 21292])).
% 5.00/4.54 tff(21294,plain,
% 5.00/4.54 (xuntil6(s135)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21293, 21291])).
% 5.00/4.54 tff(21295,plain,
% 5.00/4.54 (until5(s136)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5200, 21294])).
% 5.00/4.54 tff(21296,plain,
% 5.00/4.54 (~node4(s136)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5184, 113, 21037])).
% 5.00/4.54 tff(21297,plain,
% 5.00/4.54 (xuntil6(s136) | (~until5(s136))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5191, 225, 21296])).
% 5.00/4.54 tff(21298,plain,
% 5.00/4.54 (xuntil6(s136)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21297, 21295])).
% 5.00/4.54 tff(21299,plain,
% 5.00/4.54 (until5(s137)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5171, 21298])).
% 5.00/4.54 tff(21300,plain,
% 5.00/4.54 (~node4(s137)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5155, 113, 21036])).
% 5.00/4.54 tff(21301,plain,
% 5.00/4.54 (xuntil6(s137) | (~until5(s137))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5162, 225, 21300])).
% 5.00/4.54 tff(21302,plain,
% 5.00/4.54 (xuntil6(s137)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21301, 21299])).
% 5.00/4.54 tff(21303,plain,
% 5.00/4.54 (until5(s138)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5142, 21302])).
% 5.00/4.54 tff(21304,plain,
% 5.00/4.54 (~node4(s138)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5126, 113, 21035])).
% 5.00/4.54 tff(21305,plain,
% 5.00/4.54 (xuntil6(s138) | (~until5(s138))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5133, 225, 21304])).
% 5.00/4.54 tff(21306,plain,
% 5.00/4.54 (xuntil6(s138)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21305, 21303])).
% 5.00/4.54 tff(21307,plain,
% 5.00/4.54 (until5(s139)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5113, 21306])).
% 5.00/4.54 tff(21308,plain,
% 5.00/4.54 (~node4(s139)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5097, 113, 21034])).
% 5.00/4.54 tff(21309,plain,
% 5.00/4.54 (xuntil6(s139) | (~until5(s139))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5104, 225, 21308])).
% 5.00/4.54 tff(21310,plain,
% 5.00/4.54 (xuntil6(s139)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21309, 21307])).
% 5.00/4.54 tff(21311,plain,
% 5.00/4.54 (until5(s140)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5084, 21310])).
% 5.00/4.54 tff(21312,plain,
% 5.00/4.54 (~node4(s140)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5068, 113, 21033])).
% 5.00/4.54 tff(21313,plain,
% 5.00/4.54 (xuntil6(s140) | (~until5(s140))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5075, 225, 21312])).
% 5.00/4.54 tff(21314,plain,
% 5.00/4.54 (xuntil6(s140)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21313, 21311])).
% 5.00/4.54 tff(21315,plain,
% 5.00/4.54 (until5(s141)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5055, 21314])).
% 5.00/4.54 tff(21316,plain,
% 5.00/4.54 (~node4(s141)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5039, 113, 21032])).
% 5.00/4.54 tff(21317,plain,
% 5.00/4.54 (xuntil6(s141) | (~until5(s141))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5046, 225, 21316])).
% 5.00/4.54 tff(21318,plain,
% 5.00/4.54 (xuntil6(s141)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21317, 21315])).
% 5.00/4.54 tff(21319,plain,
% 5.00/4.54 (until5(s142)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5026, 21318])).
% 5.00/4.54 tff(21320,plain,
% 5.00/4.54 (~node4(s142)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5010, 113, 21031])).
% 5.00/4.54 tff(21321,plain,
% 5.00/4.54 (xuntil6(s142) | (~until5(s142))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5017, 225, 21320])).
% 5.00/4.54 tff(21322,plain,
% 5.00/4.54 (xuntil6(s142)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21321, 21319])).
% 5.00/4.54 tff(21323,plain,
% 5.00/4.54 (until5(s143)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4996, 21322])).
% 5.00/4.54 tff(21324,plain,
% 5.00/4.54 (xuntil6(s144)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21025, 21323])).
% 5.00/4.54 tff(21325,plain,
% 5.00/4.54 (until5(s145)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4942, 21324])).
% 5.00/4.54 tff(21326,plain,
% 5.00/4.54 (~node4(s145)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4929, 113, 21028])).
% 5.00/4.54 tff(21327,plain,
% 5.00/4.54 (xuntil6(s145) | (~until5(s145))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4936, 225, 21326])).
% 5.00/4.54 tff(21328,plain,
% 5.00/4.54 (xuntil6(s145)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21327, 21325])).
% 5.00/4.54 tff(21329,plain,
% 5.00/4.54 (until5(s146)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4925, 21328])).
% 5.00/4.54 tff(21330,plain,
% 5.00/4.54 (xuntil6(s146)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4920, 21329])).
% 5.00/4.54 tff(21331,plain,
% 5.00/4.54 (until5(s147)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4874, 21330])).
% 5.00/4.54 tff(21332,assumption,(node4(s147)), introduced(assumption)).
% 5.00/4.54 tff(21333,plain,
% 5.00/4.54 (((~![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)))),
% 5.00/4.54 inference(rewrite,[status(thm)],[])).
% 5.00/4.54 tff(21334,plain,
% 5.00/4.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s147) | (~node4(s147)))),
% 5.00/4.54 inference(quant_inst,[status(thm)],[])).
% 5.00/4.54 tff(21335,plain,
% 5.00/4.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s147) | (~node4(s147))),
% 5.00/4.54 inference(modus_ponens,[status(thm)],[21334, 21333])).
% 5.00/4.54 tff(21336,plain,
% 5.00/4.54 (m_main_v_request(s147)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21335, 63, 21332])).
% 5.00/4.54 tff(21337,plain,
% 5.00/4.54 (always3(s147)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4861, 113, 21332])).
% 5.00/4.54 tff(21338,plain,
% 5.00/4.54 (always3(s148)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4298, 21337])).
% 5.00/4.54 tff(21339,plain,
% 5.00/4.54 (~m_main_v_state(s148, c_busy)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[9303, 145, 21338])).
% 5.00/4.54 tff(21340,plain,
% 5.00/4.54 (((~![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))),
% 5.00/4.54 inference(rewrite,[status(thm)],[])).
% 5.00/4.54 tff(21341,plain,
% 5.00/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s147, s148)) | node2(s147, s148))),
% 5.00/4.54 inference(quant_inst,[status(thm)],[])).
% 5.00/4.54 tff(21342,plain,
% 5.00/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s147, s148)) | node2(s147, s148)),
% 5.00/4.54 inference(modus_ponens,[status(thm)],[21341, 21340])).
% 5.00/4.54 tff(21343,plain,
% 5.00/4.54 (node2(s147, s148)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21342, 7, 4294])).
% 5.00/4.54 tff(21344,plain,
% 5.00/4.54 (((~![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)))),
% 5.00/4.54 inference(rewrite,[status(thm)],[])).
% 5.00/4.54 tff(21345,plain,
% 5.00/4.54 ((~![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)))),
% 5.00/4.54 inference(quant_inst,[status(thm)],[])).
% 5.00/4.54 tff(21346,plain,
% 5.00/4.54 ((~![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))),
% 5.00/4.54 inference(modus_ponens,[status(thm)],[21345, 21344])).
% 5.00/4.54 tff(21347,plain,
% 5.00/4.54 ((~m_main_v_state(s147, c_ready)) | m_main_v_state(s148, c_busy) | (~m_main_v_request(s147))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21346, 166, 21343])).
% 5.00/4.54 tff(21348,plain,
% 5.00/4.54 (~m_main_v_state(s147, c_ready)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21347, 21339, 21336])).
% 5.00/4.54 tff(21349,plain,
% 5.00/4.54 (~m_main_v_state(s147, c_busy)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4891, 145, 21337])).
% 5.00/4.54 tff(21350,plain,
% 5.00/4.54 (((~![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))),
% 5.00/4.54 inference(rewrite,[status(thm)],[])).
% 5.00/4.54 tff(21351,plain,
% 5.00/4.54 ((~![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))),
% 5.00/4.54 inference(quant_inst,[status(thm)],[])).
% 5.00/4.54 tff(21352,plain,
% 5.00/4.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s147, c_busy) | m_main_v_state(s147, c_ready)),
% 5.00/4.54 inference(modus_ponens,[status(thm)],[21351, 21350])).
% 5.00/4.54 tff(21353,plain,
% 5.00/4.54 ($false),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21352, 188, 21349, 21348])).
% 5.00/4.54 tff(21354,plain,(~node4(s147)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.54 tff(21355,plain,
% 5.00/4.54 (xuntil6(s147) | (~until5(s147))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4868, 225, 21354])).
% 5.00/4.54 tff(21356,plain,
% 5.00/4.54 (xuntil6(s147)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21355, 21331])).
% 5.00/4.54 tff(21357,plain,
% 5.00/4.54 (until5(s148)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4857, 21356])).
% 5.00/4.54 tff(21358,assumption,(~always3(s158)), introduced(assumption)).
% 5.00/4.54 tff(21359,plain,
% 5.00/4.54 (~always3(s157)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4178, 21358])).
% 5.00/4.54 tff(21360,plain,
% 5.00/4.54 (~always3(s156)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4190, 21359])).
% 5.00/4.54 tff(21361,plain,
% 5.00/4.54 (~always3(s155)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4202, 21360])).
% 5.00/4.54 tff(21362,plain,
% 5.00/4.54 (~always3(s154)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4214, 21361])).
% 5.00/4.54 tff(21363,plain,
% 5.00/4.54 (~always3(s153)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4226, 21362])).
% 5.00/4.54 tff(21364,plain,
% 5.00/4.54 (~always3(s152)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4238, 21363])).
% 5.00/4.54 tff(21365,plain,
% 5.00/4.54 (~always3(s151)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4250, 21364])).
% 5.00/4.54 tff(21366,plain,
% 5.00/4.54 (~always3(s150)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4262, 21365])).
% 5.00/4.54 tff(21367,plain,
% 5.00/4.54 (~always3(s149)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4274, 21366])).
% 5.00/4.54 tff(21368,plain,
% 5.00/4.54 (~always3(s148)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4286, 21367])).
% 5.00/4.54 tff(21369,plain,
% 5.00/4.54 (~always3(s147)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4298, 21368])).
% 5.00/4.54 tff(21370,plain,
% 5.00/4.54 (~always3(s146)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4310, 21369])).
% 5.00/4.54 tff(21371,plain,
% 5.00/4.54 (~always3(s145)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4322, 21370])).
% 5.00/4.54 tff(21372,plain,
% 5.00/4.54 (~always3(s144)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4334, 21371])).
% 5.00/4.54 tff(21373,plain,
% 5.00/4.54 (~always3(s143)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4968, 21372])).
% 5.00/4.54 tff(21374,plain,
% 5.00/4.54 (~always3(s142)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5006, 21373])).
% 5.00/4.54 tff(21375,plain,
% 5.00/4.54 (~always3(s141)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5035, 21374])).
% 5.00/4.54 tff(21376,plain,
% 5.00/4.54 (~always3(s140)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5064, 21375])).
% 5.00/4.54 tff(21377,plain,
% 5.00/4.54 (~always3(s139)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5093, 21376])).
% 5.00/4.54 tff(21378,plain,
% 5.00/4.54 (~always3(s138)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5122, 21377])).
% 5.00/4.54 tff(21379,plain,
% 5.00/4.54 (~always3(s137)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5151, 21378])).
% 5.00/4.54 tff(21380,plain,
% 5.00/4.54 (~always3(s136)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5180, 21379])).
% 5.00/4.54 tff(21381,plain,
% 5.00/4.54 (~always3(s135)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5209, 21380])).
% 5.00/4.54 tff(21382,plain,
% 5.00/4.54 (~always3(s134)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5238, 21381])).
% 5.00/4.54 tff(21383,plain,
% 5.00/4.54 (~node4(s134)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5242, 113, 21382])).
% 5.00/4.54 tff(21384,plain,
% 5.00/4.54 (~always3(s133)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5267, 21382])).
% 5.00/4.54 tff(21385,plain,
% 5.00/4.54 (~node4(s133)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5271, 113, 21384])).
% 5.00/4.54 tff(21386,assumption,(until5(s133)), introduced(assumption)).
% 5.00/4.54 tff(21387,plain,
% 5.00/4.54 (xuntil6(s133) | node4(s133)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5278, 225, 21386])).
% 5.00/4.54 tff(21388,plain,
% 5.00/4.54 (xuntil6(s133)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21387, 21385])).
% 5.00/4.54 tff(21389,plain,
% 5.00/4.54 (until5(s134)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5258, 21388])).
% 5.00/4.54 tff(21390,plain,
% 5.00/4.54 (xuntil6(s134)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5249, 225, 21389, 21383])).
% 5.00/4.54 tff(21391,plain,
% 5.00/4.54 (until5(s135)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5229, 21390])).
% 5.00/4.54 tff(21392,plain,
% 5.00/4.54 (~node4(s135)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5213, 113, 21381])).
% 5.00/4.54 tff(21393,plain,
% 5.00/4.54 (xuntil6(s135) | (~until5(s135))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5220, 225, 21392])).
% 5.00/4.54 tff(21394,plain,
% 5.00/4.54 (xuntil6(s135)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21393, 21391])).
% 5.00/4.54 tff(21395,plain,
% 5.00/4.54 (until5(s136)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5200, 21394])).
% 5.00/4.54 tff(21396,plain,
% 5.00/4.54 (~node4(s136)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5184, 113, 21380])).
% 5.00/4.54 tff(21397,plain,
% 5.00/4.54 (xuntil6(s136) | (~until5(s136))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5191, 225, 21396])).
% 5.00/4.54 tff(21398,plain,
% 5.00/4.54 (xuntil6(s136)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21397, 21395])).
% 5.00/4.54 tff(21399,plain,
% 5.00/4.54 (until5(s137)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5171, 21398])).
% 5.00/4.54 tff(21400,plain,
% 5.00/4.54 (~node4(s137)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5155, 113, 21379])).
% 5.00/4.54 tff(21401,plain,
% 5.00/4.54 (xuntil6(s137) | (~until5(s137))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5162, 225, 21400])).
% 5.00/4.54 tff(21402,plain,
% 5.00/4.54 (xuntil6(s137)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21401, 21399])).
% 5.00/4.54 tff(21403,plain,
% 5.00/4.54 (until5(s138)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5142, 21402])).
% 5.00/4.54 tff(21404,plain,
% 5.00/4.54 (~node4(s138)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5126, 113, 21378])).
% 5.00/4.54 tff(21405,plain,
% 5.00/4.54 (xuntil6(s138) | (~until5(s138))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5133, 225, 21404])).
% 5.00/4.54 tff(21406,plain,
% 5.00/4.54 (xuntil6(s138)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21405, 21403])).
% 5.00/4.54 tff(21407,plain,
% 5.00/4.54 (until5(s139)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5113, 21406])).
% 5.00/4.54 tff(21408,plain,
% 5.00/4.54 (~node4(s139)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5097, 113, 21377])).
% 5.00/4.54 tff(21409,plain,
% 5.00/4.54 (xuntil6(s139) | (~until5(s139))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5104, 225, 21408])).
% 5.00/4.54 tff(21410,plain,
% 5.00/4.54 (xuntil6(s139)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21409, 21407])).
% 5.00/4.54 tff(21411,plain,
% 5.00/4.54 (until5(s140)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5084, 21410])).
% 5.00/4.54 tff(21412,plain,
% 5.00/4.54 (~node4(s140)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5068, 113, 21376])).
% 5.00/4.54 tff(21413,plain,
% 5.00/4.54 (xuntil6(s140) | (~until5(s140))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5075, 225, 21412])).
% 5.00/4.54 tff(21414,plain,
% 5.00/4.54 (xuntil6(s140)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21413, 21411])).
% 5.00/4.54 tff(21415,plain,
% 5.00/4.54 (until5(s141)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5055, 21414])).
% 5.00/4.54 tff(21416,plain,
% 5.00/4.54 (~node4(s141)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5039, 113, 21375])).
% 5.00/4.54 tff(21417,plain,
% 5.00/4.54 (xuntil6(s141) | (~until5(s141))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5046, 225, 21416])).
% 5.00/4.54 tff(21418,plain,
% 5.00/4.54 (xuntil6(s141)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21417, 21415])).
% 5.00/4.54 tff(21419,plain,
% 5.00/4.54 (until5(s142)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5026, 21418])).
% 5.00/4.54 tff(21420,plain,
% 5.00/4.54 (~node4(s142)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5010, 113, 21374])).
% 5.00/4.54 tff(21421,plain,
% 5.00/4.54 (xuntil6(s142) | (~until5(s142))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[5017, 225, 21420])).
% 5.00/4.54 tff(21422,plain,
% 5.00/4.54 (xuntil6(s142)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21421, 21419])).
% 5.00/4.54 tff(21423,plain,
% 5.00/4.54 (until5(s143)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4996, 21422])).
% 5.00/4.54 tff(21424,plain,
% 5.00/4.54 (xuntil6(s144)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21025, 21423])).
% 5.00/4.54 tff(21425,plain,
% 5.00/4.54 (until5(s145)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4942, 21424])).
% 5.00/4.54 tff(21426,plain,
% 5.00/4.54 (~node4(s145)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4929, 113, 21371])).
% 5.00/4.54 tff(21427,plain,
% 5.00/4.54 (xuntil6(s145) | (~until5(s145))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4936, 225, 21426])).
% 5.00/4.54 tff(21428,plain,
% 5.00/4.54 (xuntil6(s145)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21427, 21425])).
% 5.00/4.54 tff(21429,plain,
% 5.00/4.54 (until5(s146)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4925, 21428])).
% 5.00/4.54 tff(21430,plain,
% 5.00/4.54 (xuntil6(s146)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4920, 21429])).
% 5.00/4.54 tff(21431,plain,
% 5.00/4.54 (until5(s147)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4874, 21430])).
% 5.00/4.54 tff(21432,plain,
% 5.00/4.54 (~node4(s147)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4861, 113, 21369])).
% 5.00/4.54 tff(21433,plain,
% 5.00/4.54 (xuntil6(s147) | (~until5(s147))),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4868, 225, 21432])).
% 5.00/4.54 tff(21434,plain,
% 5.00/4.54 (xuntil6(s147)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[21433, 21431])).
% 5.00/4.54 tff(21435,plain,
% 5.00/4.54 (until5(s148)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4857, 21434])).
% 5.00/4.54 tff(21436,plain,
% 5.00/4.54 (xuntil6(s150)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4852, 21435, 21366])).
% 5.00/4.54 tff(21437,plain,
% 5.00/4.54 (until5(s151)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4800, 21436])).
% 5.00/4.54 tff(21438,plain,
% 5.00/4.54 (~node4(s151)),
% 5.00/4.54 inference(unit_resolution,[status(thm)],[4787, 113, 21365])).
% 5.00/4.55 tff(21439,plain,
% 5.00/4.55 (xuntil6(s151) | (~until5(s151))),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4794, 225, 21438])).
% 5.00/4.55 tff(21440,plain,
% 5.00/4.55 (xuntil6(s151)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21439, 21437])).
% 5.00/4.55 tff(21441,plain,
% 5.00/4.55 (until5(s152)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4783, 21440])).
% 5.00/4.55 tff(21442,plain,
% 5.00/4.55 (always3(s161)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4778, 21441, 4613])).
% 5.00/4.55 tff(21443,plain,
% 5.00/4.55 (always3(s162)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4130, 21442])).
% 5.00/4.55 tff(21444,plain,
% 5.00/4.55 (~m_main_v_state(s162, c_busy)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4583, 145, 21443])).
% 5.00/4.55 tff(21445,plain,
% 5.00/4.55 (~m_main_v_state(s161, c_busy)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[9047, 145, 21442])).
% 5.00/4.55 tff(21446,plain,
% 5.00/4.55 (((~![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))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21447,plain,
% 5.00/4.55 ((~![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))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21448,plain,
% 5.00/4.55 ((~![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)),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21447, 21446])).
% 5.00/4.55 tff(21449,plain,
% 5.00/4.55 (m_main_v_state(s161, c_ready)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21448, 188, 21445])).
% 5.00/4.55 tff(21450,plain,
% 5.00/4.55 (((~![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))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21451,plain,
% 5.00/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s161, s162)) | node2(s161, s162))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21452,plain,
% 5.00/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s161, s162)) | node2(s161, s162)),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21451, 21450])).
% 5.00/4.55 tff(21453,plain,
% 5.00/4.55 (node2(s161, s162)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21452, 7, 4126])).
% 5.00/4.55 tff(21454,plain,
% 5.00/4.55 (((~![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(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)))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21455,plain,
% 5.00/4.55 ((~![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(s161, c_ready)) | (~node2(s161, s162)) | m_main_v_state(s162, c_busy) | (~m_main_v_request(s161)))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21456,plain,
% 5.00/4.55 ((~![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(s161, c_ready)) | (~node2(s161, s162)) | m_main_v_state(s162, c_busy) | (~m_main_v_request(s161))),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21455, 21454])).
% 5.00/4.55 tff(21457,plain,
% 5.00/4.55 ((~m_main_v_state(s161, c_ready)) | m_main_v_state(s162, c_busy) | (~m_main_v_request(s161))),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21456, 166, 21453])).
% 5.00/4.55 tff(21458,plain,
% 5.00/4.55 (~m_main_v_request(s161)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21457, 21449, 21444])).
% 5.00/4.55 tff(21459,plain,
% 5.00/4.55 (((~![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)))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21460,plain,
% 5.00/4.55 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s161) | (~node4(s161)))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21461,plain,
% 5.00/4.55 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s161) | (~node4(s161))),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21460, 21459])).
% 5.00/4.55 tff(21462,plain,
% 5.00/4.55 (~node4(s161)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21461, 63, 21458])).
% 5.00/4.55 tff(21463,plain,
% 5.00/4.55 (~until5(s161)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4620, 21462])).
% 5.00/4.55 tff(21464,plain,
% 5.00/4.55 (~xuntil6(s160)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4625, 21463])).
% 5.00/4.55 tff(21465,plain,
% 5.00/4.55 (xuntil6(s160) | (~until5(s160))),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4632, 225, 9069])).
% 5.00/4.55 tff(21466,plain,
% 5.00/4.55 (~until5(s160)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21465, 21464])).
% 5.00/4.55 tff(21467,plain,
% 5.00/4.55 (~xuntil6(s159)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4637, 21466])).
% 5.00/4.55 tff(21468,assumption,(~always3(s157)), introduced(assumption)).
% 5.00/4.55 tff(21469,plain,
% 5.00/4.55 (~always3(s156)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4190, 21468])).
% 5.00/4.55 tff(21470,assumption,(~always3(s156)), introduced(assumption)).
% 5.00/4.55 tff(21471,plain,
% 5.00/4.55 (~always3(s155)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4202, 21470])).
% 5.00/4.55 tff(21472,plain,
% 5.00/4.55 (~node4(s155)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4746, 113, 21471])).
% 5.00/4.55 tff(21473,plain,
% 5.00/4.55 (~node4(s156)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4763, 113, 21470])).
% 5.00/4.55 tff(21474,assumption,(~xuntil6(s156)), introduced(assumption)).
% 5.00/4.55 tff(21475,plain,
% 5.00/4.55 (node4(s156) | (~until5(s156))),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4770, 225, 21474])).
% 5.00/4.55 tff(21476,plain,
% 5.00/4.55 (~until5(s156)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21475, 21473])).
% 5.00/4.55 tff(21477,plain,
% 5.00/4.55 (~xuntil6(s155)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4759, 21476])).
% 5.00/4.55 tff(21478,plain,
% 5.00/4.55 (~until5(s155)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4753, 225, 21477, 21472])).
% 5.00/4.55 tff(21479,plain,
% 5.00/4.55 (~xuntil6(s154)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4742, 21478])).
% 5.00/4.55 tff(21480,plain,
% 5.00/4.55 (~always3(s154)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4214, 21471])).
% 5.00/4.55 tff(21481,plain,
% 5.00/4.55 (~always3(s153)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4226, 21480])).
% 5.00/4.55 tff(21482,plain,
% 5.00/4.55 (~node4(s153)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4694, 113, 21481])).
% 5.00/4.55 tff(21483,plain,
% 5.00/4.55 (~always3(s152)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4238, 21481])).
% 5.00/4.55 tff(21484,plain,
% 5.00/4.55 (~node4(s152)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4699, 113, 21483])).
% 5.00/4.55 tff(21485,plain,
% 5.00/4.55 (xuntil6(s152)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4708, 21484])).
% 5.00/4.55 tff(21486,plain,
% 5.00/4.55 (until5(s153)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4713, 21485])).
% 5.00/4.55 tff(21487,plain,
% 5.00/4.55 (xuntil6(s153)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4720, 225, 21486, 21482])).
% 5.00/4.55 tff(21488,plain,
% 5.00/4.55 (until5(s154)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4725, 21487])).
% 5.00/4.55 tff(21489,plain,
% 5.00/4.55 (~node4(s154)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4729, 113, 21480])).
% 5.00/4.55 tff(21490,plain,
% 5.00/4.55 (xuntil6(s154) | (~until5(s154))),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4736, 225, 21489])).
% 5.00/4.55 tff(21491,plain,
% 5.00/4.55 ($false),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21490, 21488, 21479])).
% 5.00/4.55 tff(21492,plain,(always3(s156) | (~until5(s152)) | xuntil6(s156)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.55 tff(21493,plain,
% 5.00/4.55 (xuntil6(s156)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21492, 21469, 4701])).
% 5.00/4.55 tff(21494,plain,
% 5.00/4.55 (until5(s157)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4776, 21493])).
% 5.00/4.55 tff(21495,assumption,(~xuntil6(s157)), introduced(assumption)).
% 5.00/4.55 tff(21496,plain,
% 5.00/4.55 (node4(s157) | (~until5(s157))),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4685, 225, 21495])).
% 5.00/4.55 tff(21497,plain,
% 5.00/4.55 (node4(s157)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21496, 21494])).
% 5.00/4.55 tff(21498,plain,
% 5.00/4.55 ($false),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4678, 113, 21468, 21497])).
% 5.00/4.55 tff(21499,plain,(always3(s157) | xuntil6(s157) | (~until5(s152))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.55 tff(21500,plain,
% 5.00/4.55 (xuntil6(s157)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21499, 21441, 21359])).
% 5.00/4.55 tff(21501,plain,
% 5.00/4.55 (until5(s158)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4673, 21500])).
% 5.00/4.55 tff(21502,plain,
% 5.00/4.55 (~node4(s158)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4660, 113, 21358])).
% 5.00/4.55 tff(21503,plain,
% 5.00/4.55 (xuntil6(s158) | (~until5(s158))),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4667, 225, 21502])).
% 5.00/4.55 tff(21504,plain,
% 5.00/4.55 (xuntil6(s158)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21503, 21501])).
% 5.00/4.55 tff(21505,plain,
% 5.00/4.55 (until5(s159)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4655, 21504])).
% 5.00/4.55 tff(21506,plain,
% 5.00/4.55 (xuntil6(s159) | node4(s159)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4649, 225, 21505])).
% 5.00/4.55 tff(21507,plain,
% 5.00/4.55 (node4(s159)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21506, 21467])).
% 5.00/4.55 tff(21508,plain,
% 5.00/4.55 (((~![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)))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21509,plain,
% 5.00/4.55 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s159) | (~node4(s159)))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21510,plain,
% 5.00/4.55 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s159) | (~node4(s159))),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21509, 21508])).
% 5.00/4.55 tff(21511,plain,
% 5.00/4.55 (m_main_v_request(s159)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21510, 63, 21507])).
% 5.00/4.55 tff(21512,assumption,(~always3(s159)), introduced(assumption)).
% 5.00/4.55 tff(21513,plain,
% 5.00/4.55 (~always3(s158)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4166, 21512])).
% 5.00/4.55 tff(21514,plain,
% 5.00/4.55 (~node4(s158)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4660, 113, 21513])).
% 5.00/4.55 tff(21515,plain,
% 5.00/4.55 (~node4(s159)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4642, 113, 21512])).
% 5.00/4.55 tff(21516,assumption,(~xuntil6(s159)), introduced(assumption)).
% 5.00/4.55 tff(21517,plain,
% 5.00/4.55 (node4(s159) | (~until5(s159))),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4649, 225, 21516])).
% 5.00/4.55 tff(21518,plain,
% 5.00/4.55 (~until5(s159)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21517, 21515])).
% 5.00/4.55 tff(21519,plain,
% 5.00/4.55 (~xuntil6(s158)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4655, 21518])).
% 5.00/4.55 tff(21520,plain,
% 5.00/4.55 (~always3(s157)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4178, 21513])).
% 5.00/4.55 tff(21521,plain,
% 5.00/4.55 (~node4(s157)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4678, 113, 21520])).
% 5.00/4.55 tff(21522,plain,
% 5.00/4.55 (~always3(s156)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4190, 21520])).
% 5.00/4.55 tff(21523,plain,
% 5.00/4.55 (xuntil6(s156)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21492, 21522, 4701])).
% 5.00/4.55 tff(21524,plain,
% 5.00/4.55 (until5(s157)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4776, 21523])).
% 5.00/4.55 tff(21525,plain,
% 5.00/4.55 (xuntil6(s157) | node4(s157)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4685, 225, 21524])).
% 5.00/4.55 tff(21526,plain,
% 5.00/4.55 (xuntil6(s157)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21525, 21521])).
% 5.00/4.55 tff(21527,plain,
% 5.00/4.55 (until5(s158)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4673, 21526])).
% 5.00/4.55 tff(21528,plain,
% 5.00/4.55 ($false),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4667, 225, 21527, 21519, 21514])).
% 5.00/4.55 tff(21529,plain,(always3(s159) | xuntil6(s159) | (~until5(s152))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.55 tff(21530,plain,
% 5.00/4.55 (always3(s159)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21529, 21467, 21441])).
% 5.00/4.55 tff(21531,plain,
% 5.00/4.55 (always3(s160)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4154, 21530])).
% 5.00/4.55 tff(21532,plain,
% 5.00/4.55 (~m_main_v_state(s160, c_busy)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[9063, 145, 21531])).
% 5.00/4.55 tff(21533,plain,
% 5.00/4.55 (((~![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))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21534,plain,
% 5.00/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s159, s160)) | node2(s159, s160))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21535,plain,
% 5.00/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s159, s160)) | node2(s159, s160)),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21534, 21533])).
% 5.00/4.55 tff(21536,plain,
% 5.00/4.55 (node2(s159, s160)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21535, 7, 4150])).
% 5.00/4.55 tff(21537,plain,
% 5.00/4.55 (((~![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(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)))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21538,plain,
% 5.00/4.55 ((~![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(s159, c_ready)) | (~node2(s159, s160)) | m_main_v_state(s160, c_busy) | (~m_main_v_request(s159)))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21539,plain,
% 5.00/4.55 ((~![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(s159, c_ready)) | (~node2(s159, s160)) | m_main_v_state(s160, c_busy) | (~m_main_v_request(s159))),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21538, 21537])).
% 5.00/4.55 tff(21540,plain,
% 5.00/4.55 ((~m_main_v_state(s159, c_ready)) | m_main_v_state(s160, c_busy) | (~m_main_v_request(s159))),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21539, 166, 21536])).
% 5.00/4.55 tff(21541,plain,
% 5.00/4.55 (~m_main_v_state(s159, c_ready)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21540, 21532, 21511])).
% 5.00/4.55 tff(21542,plain,
% 5.00/4.55 (((~![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)))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21543,plain,
% 5.00/4.55 (((~m_main_v_state(s159, c_busy)) | (~always3(s159))) <=> ((~always3(s159)) | (~m_main_v_state(s159, c_busy)))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21544,plain,
% 5.00/4.55 (((~![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))))),
% 5.00/4.55 inference(monotonicity,[status(thm)],[21543])).
% 5.00/4.55 tff(21545,plain,
% 5.00/4.55 (((~![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)))),
% 5.00/4.55 inference(transitivity,[status(thm)],[21544, 21542])).
% 5.00/4.55 tff(21546,plain,
% 5.00/4.55 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s159, c_busy)) | (~always3(s159)))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21547,plain,
% 5.00/4.55 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s159)) | (~m_main_v_state(s159, c_busy))),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21546, 21545])).
% 5.00/4.55 tff(21548,plain,
% 5.00/4.55 (~m_main_v_state(s159, c_busy)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21547, 145, 21530])).
% 5.00/4.55 tff(21549,plain,
% 5.00/4.55 (((~![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))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21550,plain,
% 5.00/4.55 ((~![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))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21551,plain,
% 5.00/4.55 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s159, c_busy) | m_main_v_state(s159, c_ready)),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21550, 21549])).
% 5.00/4.55 tff(21552,plain,
% 5.00/4.55 ($false),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21551, 188, 21548, 21541])).
% 5.00/4.55 tff(21553,plain,(always3(s158) | xuntil6(s161) | (~until5(s133))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.55 tff(21554,plain,
% 5.00/4.55 (always3(s158)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21553, 21283, 4613])).
% 5.00/4.55 tff(21555,plain,
% 5.00/4.55 (((~![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)))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21556,plain,
% 5.00/4.55 (((~m_main_v_state(s158, c_busy)) | (~always3(s158))) <=> ((~always3(s158)) | (~m_main_v_state(s158, c_busy)))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21557,plain,
% 5.00/4.55 (((~![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))))),
% 5.00/4.55 inference(monotonicity,[status(thm)],[21556])).
% 5.00/4.55 tff(21558,plain,
% 5.00/4.55 (((~![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)))),
% 5.00/4.55 inference(transitivity,[status(thm)],[21557, 21555])).
% 5.00/4.55 tff(21559,plain,
% 5.00/4.55 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s158, c_busy)) | (~always3(s158)))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21560,plain,
% 5.00/4.55 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s158)) | (~m_main_v_state(s158, c_busy))),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21559, 21558])).
% 5.00/4.55 tff(21561,plain,
% 5.00/4.55 (~m_main_v_state(s158, c_busy)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21560, 145, 21554])).
% 5.00/4.55 tff(21562,plain,
% 5.00/4.55 (always3(s159)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4166, 21554])).
% 5.00/4.55 tff(21563,plain,
% 5.00/4.55 (always3(s160)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4154, 21562])).
% 5.00/4.55 tff(21564,plain,
% 5.00/4.55 (always3(s161)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4142, 21563])).
% 5.00/4.55 tff(21565,plain,
% 5.00/4.55 (always3(s162)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4130, 21564])).
% 5.00/4.55 tff(21566,plain,
% 5.00/4.55 (~m_main_v_state(s162, c_busy)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4583, 145, 21565])).
% 5.00/4.55 tff(21567,plain,
% 5.00/4.55 (~m_main_v_state(s161, c_busy)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[9047, 145, 21564])).
% 5.00/4.55 tff(21568,plain,
% 5.00/4.55 (m_main_v_state(s161, c_ready)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21448, 188, 21567])).
% 5.00/4.55 tff(21569,plain,
% 5.00/4.55 (~m_main_v_request(s161)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21457, 21568, 21566])).
% 5.00/4.55 tff(21570,plain,
% 5.00/4.55 (~node4(s161)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21461, 63, 21569])).
% 5.00/4.55 tff(21571,plain,
% 5.00/4.55 (~until5(s161)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4620, 21570])).
% 5.00/4.55 tff(21572,plain,
% 5.00/4.55 (~xuntil6(s160)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4625, 21571])).
% 5.00/4.55 tff(21573,plain,
% 5.00/4.55 (~until5(s160)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21465, 21572])).
% 5.00/4.55 tff(21574,plain,
% 5.00/4.55 (~xuntil6(s159)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4637, 21573])).
% 5.00/4.55 tff(21575,plain,
% 5.00/4.55 (~m_main_v_state(s160, c_busy)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[9063, 145, 21563])).
% 5.00/4.55 tff(21576,plain,
% 5.00/4.55 (~m_main_v_state(s159, c_busy)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21547, 145, 21562])).
% 5.00/4.55 tff(21577,assumption,(~m_main_v_state(s158, c_ready)), introduced(assumption)).
% 5.00/4.55 tff(21578,assumption,(~m_main_v_state(s158, c_busy)), introduced(assumption)).
% 5.00/4.55 tff(21579,plain,
% 5.00/4.55 (((~![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))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21580,plain,
% 5.00/4.55 ((~![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))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21581,plain,
% 5.00/4.55 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s158, c_busy) | m_main_v_state(s158, c_ready)),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21580, 21579])).
% 5.00/4.55 tff(21582,plain,
% 5.00/4.55 ($false),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21581, 188, 21578, 21577])).
% 5.00/4.55 tff(21583,plain,(m_main_v_state(s158, c_ready) | m_main_v_state(s158, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.55 tff(21584,plain,
% 5.00/4.55 (m_main_v_state(s158, c_ready)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21583, 21561])).
% 5.00/4.55 tff(21585,assumption,(~m_main_v_state(s159, c_ready)), introduced(assumption)).
% 5.00/4.55 tff(21586,assumption,(~m_main_v_state(s159, c_busy)), introduced(assumption)).
% 5.00/4.55 tff(21587,plain,
% 5.00/4.55 (((~![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))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21588,plain,
% 5.00/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s158, s159)) | node2(s158, s159))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21589,plain,
% 5.00/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s158, s159)) | node2(s158, s159)),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21588, 21587])).
% 5.00/4.55 tff(21590,plain,
% 5.00/4.55 (node2(s158, s159)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21589, 7, 4162])).
% 5.00/4.55 tff(21591,plain,
% 5.00/4.55 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s158, s159)) | m_main_v_state(s159, c_busy) | node1(s158) | m_main_v_state(s159, 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(s158, s159)) | m_main_v_state(s159, c_busy) | node1(s158) | m_main_v_state(s159, c_ready))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21592,plain,
% 5.00/4.55 ((node1(s158) | m_main_v_state(s159, c_ready) | (~node2(s158, s159)) | m_main_v_state(s159, c_busy)) <=> ((~node2(s158, s159)) | m_main_v_state(s159, c_busy) | node1(s158) | m_main_v_state(s159, c_ready))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21593,plain,
% 5.00/4.55 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s158) | m_main_v_state(s159, c_ready) | (~node2(s158, s159)) | m_main_v_state(s159, 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(s158, s159)) | m_main_v_state(s159, c_busy) | node1(s158) | m_main_v_state(s159, c_ready)))),
% 5.00/4.55 inference(monotonicity,[status(thm)],[21592])).
% 5.00/4.55 tff(21594,plain,
% 5.00/4.55 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s158) | m_main_v_state(s159, c_ready) | (~node2(s158, s159)) | m_main_v_state(s159, 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(s158, s159)) | m_main_v_state(s159, c_busy) | node1(s158) | m_main_v_state(s159, c_ready))),
% 5.00/4.55 inference(transitivity,[status(thm)],[21593, 21591])).
% 5.00/4.55 tff(21595,plain,
% 5.00/4.55 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s158) | m_main_v_state(s159, c_ready) | (~node2(s158, s159)) | m_main_v_state(s159, c_busy))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21596,plain,
% 5.00/4.55 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s158, s159)) | m_main_v_state(s159, c_busy) | node1(s158) | m_main_v_state(s159, c_ready)),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21595, 21594])).
% 5.00/4.55 tff(21597,plain,
% 5.00/4.55 (m_main_v_state(s159, c_busy) | node1(s158) | m_main_v_state(s159, c_ready)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21596, 2250, 21590])).
% 5.00/4.55 tff(21598,plain,
% 5.00/4.55 (node1(s158)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21597, 21586, 21585])).
% 5.00/4.55 tff(21599,assumption,(m_main_v_state(s158, c_ready)), introduced(assumption)).
% 5.00/4.55 tff(21600,plain,
% 5.00/4.55 (((~![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(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)))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21601,plain,
% 5.00/4.55 ((~![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(s158, c_ready)) | (~node2(s158, s159)) | m_main_v_state(s159, c_busy) | (~m_main_v_request(s158)))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21602,plain,
% 5.00/4.55 ((~![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(s158, c_ready)) | (~node2(s158, s159)) | m_main_v_state(s159, c_busy) | (~m_main_v_request(s158))),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21601, 21600])).
% 5.00/4.55 tff(21603,plain,
% 5.00/4.55 ((~m_main_v_state(s158, c_ready)) | m_main_v_state(s159, c_busy) | (~m_main_v_request(s158))),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21602, 166, 21590])).
% 5.00/4.55 tff(21604,plain,
% 5.00/4.55 (~m_main_v_request(s158)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21603, 21586, 21599])).
% 5.00/4.55 tff(21605,plain,
% 5.00/4.55 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s158) | (~node1(s158)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s158) | (~node1(s158)))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21606,plain,
% 5.00/4.55 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s158) | (~node1(s158)))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21607,plain,
% 5.00/4.55 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s158) | (~node1(s158))),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21606, 21605])).
% 5.00/4.55 tff(21608,plain,
% 5.00/4.55 ($false),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21607, 2276, 21604, 21598])).
% 5.00/4.55 tff(21609,plain,(m_main_v_state(s159, c_busy) | m_main_v_state(s159, c_ready) | (~m_main_v_state(s158, c_ready))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.55 tff(21610,plain,
% 5.00/4.55 (m_main_v_state(s159, c_ready)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21609, 21584, 21576])).
% 5.00/4.55 tff(21611,plain,
% 5.00/4.55 (~m_main_v_request(s159)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21540, 21610, 21575])).
% 5.00/4.55 tff(21612,plain,
% 5.00/4.55 (~node4(s159)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21510, 63, 21611])).
% 5.00/4.55 tff(21613,plain,
% 5.00/4.55 (xuntil6(s159) | (~until5(s159))),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4649, 225, 21612])).
% 5.00/4.55 tff(21614,plain,
% 5.00/4.55 (~until5(s159)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21613, 21574])).
% 5.00/4.55 tff(21615,plain,
% 5.00/4.55 (~xuntil6(s158)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4655, 21614])).
% 5.00/4.55 tff(21616,assumption,(node4(s158)), introduced(assumption)).
% 5.00/4.55 tff(21617,plain,
% 5.00/4.55 (((~![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)))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21618,plain,
% 5.00/4.55 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s158) | (~node4(s158)))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21619,plain,
% 5.00/4.55 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s158) | (~node4(s158))),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21618, 21617])).
% 5.00/4.55 tff(21620,plain,
% 5.00/4.55 (m_main_v_request(s158)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21619, 63, 21616])).
% 5.00/4.55 tff(21621,plain,
% 5.00/4.55 (~m_main_v_state(s158, c_ready)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21603, 21620, 21586])).
% 5.00/4.55 tff(21622,plain,
% 5.00/4.55 (always3(s158)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4660, 113, 21616])).
% 5.00/4.55 tff(21623,plain,
% 5.00/4.55 (~m_main_v_state(s158, c_busy)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21560, 145, 21622])).
% 5.00/4.55 tff(21624,plain,
% 5.00/4.55 ($false),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21581, 188, 21623, 21621])).
% 5.00/4.55 tff(21625,plain,((~node4(s158)) | m_main_v_state(s159, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.55 tff(21626,plain,
% 5.00/4.55 (~node4(s158)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21625, 21576])).
% 5.00/4.55 tff(21627,plain,
% 5.00/4.55 (xuntil6(s158) | (~until5(s158))),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4667, 225, 21626])).
% 5.00/4.55 tff(21628,plain,
% 5.00/4.55 (~until5(s158)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21627, 21615])).
% 5.00/4.55 tff(21629,plain,
% 5.00/4.55 (~xuntil6(s157)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4673, 21628])).
% 5.00/4.55 tff(21630,plain,
% 5.00/4.55 (always3(s157)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21499, 4701, 21495])).
% 5.00/4.55 tff(21631,plain,
% 5.00/4.55 (((~![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)))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21632,plain,
% 5.00/4.55 (((~m_main_v_state(s157, c_busy)) | (~always3(s157))) <=> ((~always3(s157)) | (~m_main_v_state(s157, c_busy)))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21633,plain,
% 5.00/4.55 (((~![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))))),
% 5.00/4.55 inference(monotonicity,[status(thm)],[21632])).
% 5.00/4.55 tff(21634,plain,
% 5.00/4.55 (((~![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)))),
% 5.00/4.55 inference(transitivity,[status(thm)],[21633, 21631])).
% 5.00/4.55 tff(21635,plain,
% 5.00/4.55 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s157, c_busy)) | (~always3(s157)))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21636,plain,
% 5.00/4.55 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s157)) | (~m_main_v_state(s157, c_busy))),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21635, 21634])).
% 5.00/4.55 tff(21637,plain,
% 5.00/4.55 (~m_main_v_state(s157, c_busy)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21636, 145, 21630])).
% 5.00/4.55 tff(21638,plain,
% 5.00/4.55 (((~![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))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21639,plain,
% 5.00/4.55 ((~![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))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21640,plain,
% 5.00/4.55 ((~![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)),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21639, 21638])).
% 5.00/4.55 tff(21641,plain,
% 5.00/4.55 (m_main_v_state(s157, c_ready)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21640, 188, 21637])).
% 5.00/4.55 tff(21642,plain,
% 5.00/4.55 (((~![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))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21643,plain,
% 5.00/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s157, s158)) | node2(s157, s158))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21644,plain,
% 5.00/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s157, s158)) | node2(s157, s158)),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21643, 21642])).
% 5.00/4.55 tff(21645,plain,
% 5.00/4.55 (node2(s157, s158)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21644, 7, 4174])).
% 5.00/4.55 tff(21646,plain,
% 5.00/4.55 (((~![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(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)))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21647,plain,
% 5.00/4.55 ((~![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(s157, c_ready)) | (~node2(s157, s158)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s157)))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21648,plain,
% 5.00/4.55 ((~![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(s157, c_ready)) | (~node2(s157, s158)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s157))),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21647, 21646])).
% 5.00/4.55 tff(21649,plain,
% 5.00/4.55 ((~m_main_v_state(s157, c_ready)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s157))),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21648, 166, 21645])).
% 5.00/4.55 tff(21650,plain,
% 5.00/4.55 (~m_main_v_request(s157)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21649, 21641, 21578])).
% 5.00/4.55 tff(21651,plain,
% 5.00/4.55 (((~![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)))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21652,plain,
% 5.00/4.55 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s157) | (~node4(s157)))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21653,plain,
% 5.00/4.55 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s157) | (~node4(s157))),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21652, 21651])).
% 5.00/4.55 tff(21654,plain,
% 5.00/4.55 (~node4(s157)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21653, 63, 21650])).
% 5.00/4.55 tff(21655,plain,
% 5.00/4.55 (~until5(s157)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21496, 21654])).
% 5.00/4.55 tff(21656,plain,
% 5.00/4.55 (~xuntil6(s156)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4776, 21655])).
% 5.00/4.55 tff(21657,plain,
% 5.00/4.55 (always3(s156)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21492, 21656, 4701])).
% 5.00/4.55 tff(21658,plain,
% 5.00/4.55 (((~![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)))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21659,plain,
% 5.00/4.55 (((~m_main_v_state(s156, c_busy)) | (~always3(s156))) <=> ((~always3(s156)) | (~m_main_v_state(s156, c_busy)))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21660,plain,
% 5.00/4.55 (((~![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))))),
% 5.00/4.55 inference(monotonicity,[status(thm)],[21659])).
% 5.00/4.55 tff(21661,plain,
% 5.00/4.55 (((~![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)))),
% 5.00/4.55 inference(transitivity,[status(thm)],[21660, 21658])).
% 5.00/4.55 tff(21662,plain,
% 5.00/4.55 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s156, c_busy)) | (~always3(s156)))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21663,plain,
% 5.00/4.55 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s156)) | (~m_main_v_state(s156, c_busy))),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21662, 21661])).
% 5.00/4.55 tff(21664,plain,
% 5.00/4.55 (~m_main_v_state(s156, c_busy)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21663, 145, 21657])).
% 5.00/4.55 tff(21665,plain,
% 5.00/4.55 (((~![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))),
% 5.00/4.55 inference(rewrite,[status(thm)],[])).
% 5.00/4.55 tff(21666,plain,
% 5.00/4.55 ((~![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))),
% 5.00/4.55 inference(quant_inst,[status(thm)],[])).
% 5.00/4.55 tff(21667,plain,
% 5.00/4.55 ((~![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)),
% 5.00/4.55 inference(modus_ponens,[status(thm)],[21666, 21665])).
% 5.00/4.55 tff(21668,plain,
% 5.00/4.55 (m_main_v_state(s156, c_ready)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21667, 188, 21664])).
% 5.00/4.55 tff(21669,plain,
% 5.00/4.55 (xuntil6(s152) | (~until5(s152))),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4707, 225, 9226])).
% 5.00/4.55 tff(21670,plain,
% 5.00/4.55 (xuntil6(s152)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21669, 4701])).
% 5.00/4.55 tff(21671,plain,
% 5.00/4.55 (until5(s153)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4713, 21670])).
% 5.00/4.55 tff(21672,plain,
% 5.00/4.55 (xuntil6(s153) | (~until5(s153))),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4720, 225, 9187])).
% 5.00/4.55 tff(21673,plain,
% 5.00/4.55 (xuntil6(s153)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21672, 21671])).
% 5.00/4.55 tff(21674,plain,
% 5.00/4.55 (until5(s154)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4725, 21673])).
% 5.00/4.55 tff(21675,assumption,(~xuntil6(s155)), introduced(assumption)).
% 5.00/4.55 tff(21676,assumption,(until5(s154)), introduced(assumption)).
% 5.00/4.55 tff(21677,assumption,(~always3(s155)), introduced(assumption)).
% 5.00/4.55 tff(21678,plain,
% 5.00/4.55 (~always3(s154)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4214, 21677])).
% 5.00/4.55 tff(21679,plain,
% 5.00/4.55 (~node4(s154)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4729, 113, 21678])).
% 5.00/4.55 tff(21680,plain,
% 5.00/4.55 (xuntil6(s154) | node4(s154)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4736, 225, 21676])).
% 5.00/4.55 tff(21681,plain,
% 5.00/4.55 (xuntil6(s154)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21680, 21679])).
% 5.00/4.55 tff(21682,plain,
% 5.00/4.55 (until5(s155)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4742, 21681])).
% 5.00/4.55 tff(21683,plain,
% 5.00/4.55 (node4(s155) | (~until5(s155))),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4753, 225, 21675])).
% 5.00/4.55 tff(21684,plain,
% 5.00/4.55 (node4(s155)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21683, 21682])).
% 5.00/4.55 tff(21685,plain,
% 5.00/4.55 ($false),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[4746, 113, 21677, 21684])).
% 5.00/4.55 tff(21686,plain,(always3(s155) | xuntil6(s155) | (~until5(s154))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.55 tff(21687,plain,
% 5.00/4.55 (always3(s155)),
% 5.00/4.55 inference(unit_resolution,[status(thm)],[21686, 21676, 21675])).
% 5.00/4.55 tff(21688,plain,
% 5.00/4.56 (((~![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)))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21689,plain,
% 5.00/4.56 (((~m_main_v_state(s155, c_busy)) | (~always3(s155))) <=> ((~always3(s155)) | (~m_main_v_state(s155, c_busy)))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21690,plain,
% 5.00/4.56 (((~![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))))),
% 5.00/4.56 inference(monotonicity,[status(thm)],[21689])).
% 5.00/4.56 tff(21691,plain,
% 5.00/4.56 (((~![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)))),
% 5.00/4.56 inference(transitivity,[status(thm)],[21690, 21688])).
% 5.00/4.56 tff(21692,plain,
% 5.00/4.56 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s155, c_busy)) | (~always3(s155)))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21693,plain,
% 5.00/4.56 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s155)) | (~m_main_v_state(s155, c_busy))),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21692, 21691])).
% 5.00/4.56 tff(21694,plain,
% 5.00/4.56 (~m_main_v_state(s155, c_busy)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21693, 145, 21687])).
% 5.00/4.56 tff(21695,assumption,(~m_main_v_state(s156, c_busy)), introduced(assumption)).
% 5.00/4.56 tff(21696,plain,
% 5.00/4.56 (((~![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))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21697,plain,
% 5.00/4.56 ((~![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))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21698,plain,
% 5.00/4.56 ((~![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)),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21697, 21696])).
% 5.00/4.56 tff(21699,plain,
% 5.00/4.56 (m_main_v_state(s155, c_ready)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21698, 188, 21694])).
% 5.00/4.56 tff(21700,plain,
% 5.00/4.56 (((~![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))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21701,plain,
% 5.00/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s155, s156)) | node2(s155, s156))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21702,plain,
% 5.00/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s155, s156)) | node2(s155, s156)),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21701, 21700])).
% 5.00/4.56 tff(21703,plain,
% 5.00/4.56 (node2(s155, s156)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21702, 7, 4198])).
% 5.00/4.56 tff(21704,plain,
% 5.00/4.56 (((~![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(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)))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21705,plain,
% 5.00/4.56 ((~![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(s155, c_ready)) | (~node2(s155, s156)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s155)))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21706,plain,
% 5.00/4.56 ((~![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(s155, c_ready)) | (~node2(s155, s156)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s155))),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21705, 21704])).
% 5.00/4.56 tff(21707,plain,
% 5.00/4.56 ((~m_main_v_state(s155, c_ready)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s155))),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21706, 166, 21703])).
% 5.00/4.56 tff(21708,plain,
% 5.00/4.56 (~m_main_v_request(s155)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21707, 21699, 21695])).
% 5.00/4.56 tff(21709,plain,
% 5.00/4.56 (((~![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)))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21710,plain,
% 5.00/4.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s155) | (~node4(s155)))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21711,plain,
% 5.00/4.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s155) | (~node4(s155))),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21710, 21709])).
% 5.00/4.56 tff(21712,plain,
% 5.00/4.56 (~node4(s155)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21711, 63, 21708])).
% 5.00/4.56 tff(21713,plain,
% 5.00/4.56 (~until5(s155)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21683, 21712])).
% 5.00/4.56 tff(21714,plain,
% 5.00/4.56 (~xuntil6(s154)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4742, 21713])).
% 5.00/4.56 tff(21715,plain,
% 5.00/4.56 (node4(s154)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21680, 21714])).
% 5.00/4.56 tff(21716,plain,
% 5.00/4.56 (((~![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)))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21717,plain,
% 5.00/4.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s154) | (~node4(s154)))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21718,plain,
% 5.00/4.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s154) | (~node4(s154))),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21717, 21716])).
% 5.00/4.56 tff(21719,plain,
% 5.00/4.56 (m_main_v_request(s154)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21718, 63, 21715])).
% 5.00/4.56 tff(21720,plain,
% 5.00/4.56 (((~![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))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21721,plain,
% 5.00/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s154, s155)) | node2(s154, s155))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21722,plain,
% 5.00/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s154, s155)) | node2(s154, s155)),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21721, 21720])).
% 5.00/4.56 tff(21723,plain,
% 5.00/4.56 (node2(s154, s155)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21722, 7, 4210])).
% 5.00/4.56 tff(21724,plain,
% 5.00/4.56 (((~![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(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)))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21725,plain,
% 5.00/4.56 ((~![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(s154, c_ready)) | (~node2(s154, s155)) | m_main_v_state(s155, c_busy) | (~m_main_v_request(s154)))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21726,plain,
% 5.00/4.56 ((~![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(s154, c_ready)) | (~node2(s154, s155)) | m_main_v_state(s155, c_busy) | (~m_main_v_request(s154))),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21725, 21724])).
% 5.00/4.56 tff(21727,plain,
% 5.00/4.56 ((~m_main_v_state(s154, c_ready)) | m_main_v_state(s155, c_busy) | (~m_main_v_request(s154))),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21726, 166, 21723])).
% 5.00/4.56 tff(21728,plain,
% 5.00/4.56 (~m_main_v_state(s154, c_ready)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21727, 21719, 21694])).
% 5.00/4.56 tff(21729,plain,
% 5.00/4.56 (always3(s154)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4729, 113, 21715])).
% 5.00/4.56 tff(21730,plain,
% 5.00/4.56 (~m_main_v_state(s154, c_busy)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[9165, 145, 21729])).
% 5.00/4.56 tff(21731,plain,
% 5.00/4.56 (((~![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))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21732,plain,
% 5.00/4.56 ((~![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))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21733,plain,
% 5.00/4.56 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s154, c_busy) | m_main_v_state(s154, c_ready)),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21732, 21731])).
% 5.00/4.56 tff(21734,plain,
% 5.00/4.56 ($false),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21733, 188, 21730, 21728])).
% 5.00/4.56 tff(21735,plain,((~until5(s154)) | xuntil6(s155) | m_main_v_state(s156, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.56 tff(21736,plain,
% 5.00/4.56 (xuntil6(s155)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21735, 21664, 21674])).
% 5.00/4.56 tff(21737,plain,
% 5.00/4.56 (until5(s156)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4759, 21736])).
% 5.00/4.56 tff(21738,plain,
% 5.00/4.56 (node4(s156) | (~until5(s156))),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4770, 225, 21656])).
% 5.00/4.56 tff(21739,plain,
% 5.00/4.56 (node4(s156)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21738, 21737])).
% 5.00/4.56 tff(21740,plain,
% 5.00/4.56 (((~![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)))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21741,plain,
% 5.00/4.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s156) | (~node4(s156)))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21742,plain,
% 5.00/4.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s156) | (~node4(s156))),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21741, 21740])).
% 5.00/4.56 tff(21743,plain,
% 5.00/4.56 (m_main_v_request(s156)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21742, 63, 21739])).
% 5.00/4.56 tff(21744,plain,
% 5.00/4.56 (((~![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))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21745,plain,
% 5.00/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s156, s157)) | node2(s156, s157))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21746,plain,
% 5.00/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s156, s157)) | node2(s156, s157)),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21745, 21744])).
% 5.00/4.56 tff(21747,plain,
% 5.00/4.56 (node2(s156, s157)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21746, 7, 4186])).
% 5.00/4.56 tff(21748,plain,
% 5.00/4.56 (((~![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(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)))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21749,plain,
% 5.00/4.56 ((~![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(s156, c_ready)) | (~node2(s156, s157)) | m_main_v_state(s157, c_busy) | (~m_main_v_request(s156)))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21750,plain,
% 5.00/4.56 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s156, c_ready)) | (~node2(s156, s157)) | m_main_v_state(s157, c_busy) | (~m_main_v_request(s156))),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21749, 21748])).
% 5.00/4.56 tff(21751,plain,
% 5.00/4.56 ((~m_main_v_state(s156, c_ready)) | m_main_v_state(s157, c_busy) | (~m_main_v_request(s156))),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21750, 166, 21747])).
% 5.00/4.56 tff(21752,plain,
% 5.00/4.56 ($false),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21751, 21743, 21668, 21637])).
% 5.00/4.56 tff(21753,plain,((~until5(s152)) | xuntil6(s157) | m_main_v_state(s158, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.56 tff(21754,plain,
% 5.00/4.56 (~until5(s152)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21753, 21629, 21561])).
% 5.00/4.56 tff(21755,plain,
% 5.00/4.56 (~xuntil6(s151)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4783, 21754])).
% 5.00/4.56 tff(21756,assumption,(~always3(s151)), introduced(assumption)).
% 5.00/4.56 tff(21757,plain,
% 5.00/4.56 (~always3(s150)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4262, 21756])).
% 5.00/4.56 tff(21758,plain,
% 5.00/4.56 (~always3(s149)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4274, 21757])).
% 5.00/4.56 tff(21759,plain,
% 5.00/4.56 (~always3(s148)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4286, 21758])).
% 5.00/4.56 tff(21760,plain,
% 5.00/4.56 (~always3(s147)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4298, 21759])).
% 5.00/4.56 tff(21761,plain,
% 5.00/4.56 (~always3(s146)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4310, 21760])).
% 5.00/4.56 tff(21762,plain,
% 5.00/4.56 (~always3(s145)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4322, 21761])).
% 5.00/4.56 tff(21763,plain,
% 5.00/4.56 (~always3(s144)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4334, 21762])).
% 5.00/4.56 tff(21764,plain,
% 5.00/4.56 (~node4(s147)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4861, 113, 21760])).
% 5.00/4.56 tff(21765,plain,
% 5.00/4.56 (~node4(s151)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4787, 113, 21756])).
% 5.00/4.56 tff(21766,assumption,(~xuntil6(s151)), introduced(assumption)).
% 5.00/4.56 tff(21767,plain,
% 5.00/4.56 (node4(s151) | (~until5(s151))),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4794, 225, 21766])).
% 5.00/4.56 tff(21768,plain,
% 5.00/4.56 (~until5(s151)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21767, 21765])).
% 5.00/4.56 tff(21769,plain,
% 5.00/4.56 (~xuntil6(s150)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4800, 21768])).
% 5.00/4.56 tff(21770,plain,
% 5.00/4.56 (~until5(s148)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4852, 21769, 21757])).
% 5.00/4.56 tff(21771,plain,
% 5.00/4.56 (~xuntil6(s147)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4857, 21770])).
% 5.00/4.56 tff(21772,plain,
% 5.00/4.56 (~until5(s147)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4868, 225, 21771, 21764])).
% 5.00/4.56 tff(21773,plain,
% 5.00/4.56 (~xuntil6(s146)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4874, 21772])).
% 5.00/4.56 tff(21774,plain,
% 5.00/4.56 (~until5(s146)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4920, 21773])).
% 5.00/4.56 tff(21775,plain,
% 5.00/4.56 (~xuntil6(s145)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4925, 21774])).
% 5.00/4.56 tff(21776,plain,
% 5.00/4.56 (~node4(s145)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4929, 113, 21762])).
% 5.00/4.56 tff(21777,plain,
% 5.00/4.56 (xuntil6(s145) | (~until5(s145))),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4936, 225, 21776])).
% 5.00/4.56 tff(21778,plain,
% 5.00/4.56 (~until5(s145)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21777, 21775])).
% 5.00/4.56 tff(21779,plain,
% 5.00/4.56 (~xuntil6(s144)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4942, 21778])).
% 5.00/4.56 tff(21780,plain,
% 5.00/4.56 (~until5(s143)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4988, 21779, 21763])).
% 5.00/4.56 tff(21781,plain,
% 5.00/4.56 (~xuntil6(s142)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4996, 21780])).
% 5.00/4.56 tff(21782,plain,
% 5.00/4.56 (~always3(s143)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4968, 21763])).
% 5.00/4.56 tff(21783,plain,
% 5.00/4.56 (~always3(s142)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5006, 21782])).
% 5.00/4.56 tff(21784,plain,
% 5.00/4.56 (~node4(s142)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5010, 113, 21783])).
% 5.00/4.56 tff(21785,plain,
% 5.00/4.56 (xuntil6(s142) | (~until5(s142))),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5017, 225, 21784])).
% 5.00/4.56 tff(21786,plain,
% 5.00/4.56 (~until5(s142)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21785, 21781])).
% 5.00/4.56 tff(21787,plain,
% 5.00/4.56 (~xuntil6(s141)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5026, 21786])).
% 5.00/4.56 tff(21788,plain,
% 5.00/4.56 (~always3(s141)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5035, 21783])).
% 5.00/4.56 tff(21789,plain,
% 5.00/4.56 (~node4(s141)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5039, 113, 21788])).
% 5.00/4.56 tff(21790,plain,
% 5.00/4.56 (xuntil6(s141) | (~until5(s141))),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5046, 225, 21789])).
% 5.00/4.56 tff(21791,plain,
% 5.00/4.56 (~until5(s141)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21790, 21787])).
% 5.00/4.56 tff(21792,plain,
% 5.00/4.56 (~xuntil6(s140)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5055, 21791])).
% 5.00/4.56 tff(21793,plain,
% 5.00/4.56 (~always3(s140)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5064, 21788])).
% 5.00/4.56 tff(21794,plain,
% 5.00/4.56 (~always3(s139)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5093, 21793])).
% 5.00/4.56 tff(21795,plain,
% 5.00/4.56 (~always3(s138)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5122, 21794])).
% 5.00/4.56 tff(21796,plain,
% 5.00/4.56 (~always3(s137)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5151, 21795])).
% 5.00/4.56 tff(21797,plain,
% 5.00/4.56 (~always3(s136)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5180, 21796])).
% 5.00/4.56 tff(21798,plain,
% 5.00/4.56 (~always3(s135)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5209, 21797])).
% 5.00/4.56 tff(21799,plain,
% 5.00/4.56 (~always3(s134)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5238, 21798])).
% 5.00/4.56 tff(21800,plain,
% 5.00/4.56 (~node4(s134)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5242, 113, 21799])).
% 5.00/4.56 tff(21801,plain,
% 5.00/4.56 (~always3(s133)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5267, 21799])).
% 5.00/4.56 tff(21802,plain,
% 5.00/4.56 (~node4(s133)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5271, 113, 21801])).
% 5.00/4.56 tff(21803,plain,
% 5.00/4.56 (xuntil6(s133)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21387, 21802])).
% 5.00/4.56 tff(21804,plain,
% 5.00/4.56 (until5(s134)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5258, 21803])).
% 5.00/4.56 tff(21805,plain,
% 5.00/4.56 (xuntil6(s134)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5249, 225, 21804, 21800])).
% 5.00/4.56 tff(21806,plain,
% 5.00/4.56 (until5(s135)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5229, 21805])).
% 5.00/4.56 tff(21807,plain,
% 5.00/4.56 (~node4(s135)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5213, 113, 21798])).
% 5.00/4.56 tff(21808,plain,
% 5.00/4.56 (xuntil6(s135) | (~until5(s135))),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5220, 225, 21807])).
% 5.00/4.56 tff(21809,plain,
% 5.00/4.56 (xuntil6(s135)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21808, 21806])).
% 5.00/4.56 tff(21810,plain,
% 5.00/4.56 (until5(s136)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5200, 21809])).
% 5.00/4.56 tff(21811,plain,
% 5.00/4.56 (~node4(s136)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5184, 113, 21797])).
% 5.00/4.56 tff(21812,plain,
% 5.00/4.56 (xuntil6(s136) | (~until5(s136))),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5191, 225, 21811])).
% 5.00/4.56 tff(21813,plain,
% 5.00/4.56 (xuntil6(s136)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21812, 21810])).
% 5.00/4.56 tff(21814,plain,
% 5.00/4.56 (until5(s137)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5171, 21813])).
% 5.00/4.56 tff(21815,plain,
% 5.00/4.56 (~node4(s137)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5155, 113, 21796])).
% 5.00/4.56 tff(21816,plain,
% 5.00/4.56 (xuntil6(s137) | (~until5(s137))),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5162, 225, 21815])).
% 5.00/4.56 tff(21817,plain,
% 5.00/4.56 (xuntil6(s137)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21816, 21814])).
% 5.00/4.56 tff(21818,plain,
% 5.00/4.56 (until5(s138)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5142, 21817])).
% 5.00/4.56 tff(21819,plain,
% 5.00/4.56 (~node4(s138)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5126, 113, 21795])).
% 5.00/4.56 tff(21820,plain,
% 5.00/4.56 (xuntil6(s138) | (~until5(s138))),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5133, 225, 21819])).
% 5.00/4.56 tff(21821,plain,
% 5.00/4.56 (xuntil6(s138)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21820, 21818])).
% 5.00/4.56 tff(21822,plain,
% 5.00/4.56 (until5(s139)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5113, 21821])).
% 5.00/4.56 tff(21823,plain,
% 5.00/4.56 (~node4(s139)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5097, 113, 21794])).
% 5.00/4.56 tff(21824,plain,
% 5.00/4.56 (xuntil6(s139) | (~until5(s139))),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5104, 225, 21823])).
% 5.00/4.56 tff(21825,plain,
% 5.00/4.56 (xuntil6(s139)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21824, 21822])).
% 5.00/4.56 tff(21826,plain,
% 5.00/4.56 (until5(s140)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5084, 21825])).
% 5.00/4.56 tff(21827,plain,
% 5.00/4.56 (~node4(s140)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5068, 113, 21793])).
% 5.00/4.56 tff(21828,plain,
% 5.00/4.56 (xuntil6(s140) | (~until5(s140))),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[5075, 225, 21827])).
% 5.00/4.56 tff(21829,plain,
% 5.00/4.56 ($false),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21828, 21826, 21792])).
% 5.00/4.56 tff(21830,plain,(always3(s151) | (~until5(s133)) | xuntil6(s151)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.56 tff(21831,plain,
% 5.00/4.56 (always3(s151)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21830, 21755, 21283])).
% 5.00/4.56 tff(21832,plain,
% 5.00/4.56 (always3(s152)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4250, 21831])).
% 5.00/4.56 tff(21833,plain,
% 5.00/4.56 (~m_main_v_state(s152, c_busy)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[9220, 145, 21832])).
% 5.00/4.56 tff(21834,plain,
% 5.00/4.56 (((~![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)))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21835,plain,
% 5.00/4.56 (((~m_main_v_state(s151, c_busy)) | (~always3(s151))) <=> ((~always3(s151)) | (~m_main_v_state(s151, c_busy)))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21836,plain,
% 5.00/4.56 (((~![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))))),
% 5.00/4.56 inference(monotonicity,[status(thm)],[21835])).
% 5.00/4.56 tff(21837,plain,
% 5.00/4.56 (((~![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)))),
% 5.00/4.56 inference(transitivity,[status(thm)],[21836, 21834])).
% 5.00/4.56 tff(21838,plain,
% 5.00/4.56 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s151, c_busy)) | (~always3(s151)))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21839,plain,
% 5.00/4.56 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s151)) | (~m_main_v_state(s151, c_busy))),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21838, 21837])).
% 5.00/4.56 tff(21840,plain,
% 5.00/4.56 (~m_main_v_state(s151, c_busy)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21839, 145, 21831])).
% 5.00/4.56 tff(21841,plain,
% 5.00/4.56 (((~![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))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21842,plain,
% 5.00/4.56 ((~![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))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21843,plain,
% 5.00/4.56 ((~![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)),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21842, 21841])).
% 5.00/4.56 tff(21844,plain,
% 5.00/4.56 (m_main_v_state(s151, c_ready)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21843, 188, 21840])).
% 5.00/4.56 tff(21845,plain,
% 5.00/4.56 (((~![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))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21846,plain,
% 5.00/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s151, s152)) | node2(s151, s152))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21847,plain,
% 5.00/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s151, s152)) | node2(s151, s152)),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21846, 21845])).
% 5.00/4.56 tff(21848,plain,
% 5.00/4.56 (node2(s151, s152)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21847, 7, 4246])).
% 5.00/4.56 tff(21849,plain,
% 5.00/4.56 (((~![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(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)))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21850,plain,
% 5.00/4.56 ((~![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(s151, c_ready)) | (~node2(s151, s152)) | m_main_v_state(s152, c_busy) | (~m_main_v_request(s151)))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21851,plain,
% 5.00/4.56 ((~![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(s151, c_ready)) | (~node2(s151, s152)) | m_main_v_state(s152, c_busy) | (~m_main_v_request(s151))),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21850, 21849])).
% 5.00/4.56 tff(21852,plain,
% 5.00/4.56 ((~m_main_v_state(s151, c_ready)) | m_main_v_state(s152, c_busy) | (~m_main_v_request(s151))),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21851, 166, 21848])).
% 5.00/4.56 tff(21853,plain,
% 5.00/4.56 (~m_main_v_request(s151)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21852, 21844, 21833])).
% 5.00/4.56 tff(21854,plain,
% 5.00/4.56 (((~![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)))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21855,plain,
% 5.00/4.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s151) | (~node4(s151)))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21856,plain,
% 5.00/4.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s151) | (~node4(s151))),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21855, 21854])).
% 5.00/4.56 tff(21857,plain,
% 5.00/4.56 (~node4(s151)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21856, 63, 21853])).
% 5.00/4.56 tff(21858,plain,
% 5.00/4.56 (node4(s151) | (~until5(s151))),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4794, 225, 21755])).
% 5.00/4.56 tff(21859,plain,
% 5.00/4.56 (~until5(s151)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21858, 21857])).
% 5.00/4.56 tff(21860,plain,
% 5.00/4.56 (~xuntil6(s150)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4800, 21859])).
% 5.00/4.56 tff(21861,plain,
% 5.00/4.56 (always3(s150)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4852, 21860, 21357])).
% 5.00/4.56 tff(21862,plain,
% 5.00/4.56 (((~![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)))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21863,plain,
% 5.00/4.56 (((~m_main_v_state(s150, c_busy)) | (~always3(s150))) <=> ((~always3(s150)) | (~m_main_v_state(s150, c_busy)))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21864,plain,
% 5.00/4.56 (((~![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))))),
% 5.00/4.56 inference(monotonicity,[status(thm)],[21863])).
% 5.00/4.56 tff(21865,plain,
% 5.00/4.56 (((~![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)))),
% 5.00/4.56 inference(transitivity,[status(thm)],[21864, 21862])).
% 5.00/4.56 tff(21866,plain,
% 5.00/4.56 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s150, c_busy)) | (~always3(s150)))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21867,plain,
% 5.00/4.56 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s150)) | (~m_main_v_state(s150, c_busy))),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21866, 21865])).
% 5.00/4.56 tff(21868,plain,
% 5.00/4.56 (~m_main_v_state(s150, c_busy)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21867, 145, 21861])).
% 5.00/4.56 tff(21869,plain,
% 5.00/4.56 (always3(s150)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4852, 4812, 4831])).
% 5.00/4.56 tff(21870,plain,
% 5.00/4.56 (always3(s151)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4262, 21869])).
% 5.00/4.56 tff(21871,plain,
% 5.00/4.56 (~m_main_v_state(s151, c_busy)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21839, 145, 21870])).
% 5.00/4.56 tff(21872,assumption,(until5(s150)), introduced(assumption)).
% 5.00/4.56 tff(21873,plain,
% 5.00/4.56 (xuntil6(s150) | node4(s150)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4818, 225, 21872])).
% 5.00/4.56 tff(21874,plain,
% 5.00/4.56 (node4(s150)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21873, 4812])).
% 5.00/4.56 tff(21875,plain,
% 5.00/4.56 (((~![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)))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21876,plain,
% 5.00/4.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s150) | (~node4(s150)))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21877,plain,
% 5.00/4.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s150) | (~node4(s150))),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21876, 21875])).
% 5.00/4.56 tff(21878,plain,
% 5.00/4.56 (m_main_v_request(s150)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21877, 63, 21874])).
% 5.00/4.56 tff(21879,plain,
% 5.00/4.56 (((~![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))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21880,plain,
% 5.00/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s150, s151)) | node2(s150, s151))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21881,plain,
% 5.00/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s150, s151)) | node2(s150, s151)),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21880, 21879])).
% 5.00/4.56 tff(21882,plain,
% 5.00/4.56 (node2(s150, s151)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21881, 7, 4258])).
% 5.00/4.56 tff(21883,plain,
% 5.00/4.56 (((~![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(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)))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21884,plain,
% 5.00/4.56 ((~![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(s150, c_ready)) | (~node2(s150, s151)) | m_main_v_state(s151, c_busy) | (~m_main_v_request(s150)))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21885,plain,
% 5.00/4.56 ((~![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(s150, c_ready)) | (~node2(s150, s151)) | m_main_v_state(s151, c_busy) | (~m_main_v_request(s150))),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21884, 21883])).
% 5.00/4.56 tff(21886,plain,
% 5.00/4.56 ((~m_main_v_state(s150, c_ready)) | m_main_v_state(s151, c_busy) | (~m_main_v_request(s150))),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21885, 166, 21882])).
% 5.00/4.56 tff(21887,plain,
% 5.00/4.56 (~m_main_v_state(s150, c_ready)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21886, 21878, 21871])).
% 5.00/4.56 tff(21888,plain,
% 5.00/4.56 (~m_main_v_state(s150, c_busy)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21867, 145, 21869])).
% 5.00/4.56 tff(21889,plain,
% 5.00/4.56 (((~![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))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21890,plain,
% 5.00/4.56 ((~![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))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21891,plain,
% 5.00/4.56 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s150, c_busy) | m_main_v_state(s150, c_ready)),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21890, 21889])).
% 5.00/4.56 tff(21892,plain,
% 5.00/4.56 ($false),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21891, 188, 21888, 21887])).
% 5.00/4.56 tff(21893,plain,(xuntil6(s150) | (~until5(s150)) | (~until5(s148))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.56 tff(21894,plain,
% 5.00/4.56 (~until5(s150)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21893, 21860, 21357])).
% 5.00/4.56 tff(21895,plain,
% 5.00/4.56 (~xuntil6(s149)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4824, 21894])).
% 5.00/4.56 tff(21896,plain,
% 5.00/4.56 (xuntil6(s148) | (~until5(s148))),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4837, 225, 9309])).
% 5.00/4.56 tff(21897,plain,
% 5.00/4.56 (xuntil6(s148)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21896, 21357])).
% 5.00/4.56 tff(21898,plain,
% 5.00/4.56 (until5(s149)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4843, 21897])).
% 5.00/4.56 tff(21899,plain,
% 5.00/4.56 (xuntil6(s149) | node4(s149)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[4850, 225, 21898])).
% 5.00/4.56 tff(21900,plain,
% 5.00/4.56 (node4(s149)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21899, 21895])).
% 5.00/4.56 tff(21901,plain,
% 5.00/4.56 (((~![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)))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21902,plain,
% 5.00/4.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s149) | (~node4(s149)))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21903,plain,
% 5.00/4.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s149) | (~node4(s149))),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21902, 21901])).
% 5.00/4.56 tff(21904,plain,
% 5.00/4.56 (m_main_v_request(s149)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21903, 63, 21900])).
% 5.00/4.56 tff(21905,plain,
% 5.00/4.56 (((~![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))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21906,plain,
% 5.00/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s149, s150)) | node2(s149, s150))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21907,plain,
% 5.00/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s149, s150)) | node2(s149, s150)),
% 5.00/4.56 inference(modus_ponens,[status(thm)],[21906, 21905])).
% 5.00/4.56 tff(21908,plain,
% 5.00/4.56 (node2(s149, s150)),
% 5.00/4.56 inference(unit_resolution,[status(thm)],[21907, 7, 4270])).
% 5.00/4.56 tff(21909,plain,
% 5.00/4.56 (((~![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(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)))),
% 5.00/4.56 inference(rewrite,[status(thm)],[])).
% 5.00/4.56 tff(21910,plain,
% 5.00/4.56 ((~![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(s149, c_ready)) | (~node2(s149, s150)) | m_main_v_state(s150, c_busy) | (~m_main_v_request(s149)))),
% 5.00/4.56 inference(quant_inst,[status(thm)],[])).
% 5.00/4.56 tff(21911,plain,
% 5.00/4.56 ((~![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(s149, c_ready)) | (~node2(s149, s150)) | m_main_v_state(s150, c_busy) | (~m_main_v_request(s149))),
% 5.00/4.57 inference(modus_ponens,[status(thm)],[21910, 21909])).
% 5.00/4.57 tff(21912,plain,
% 5.00/4.57 ((~m_main_v_state(s149, c_ready)) | m_main_v_state(s150, c_busy) | (~m_main_v_request(s149))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21911, 166, 21908])).
% 5.00/4.57 tff(21913,plain,
% 5.00/4.57 (~m_main_v_state(s149, c_ready)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21912, 21904, 21868])).
% 5.00/4.57 tff(21914,assumption,(~always3(s149)), introduced(assumption)).
% 5.00/4.57 tff(21915,plain,
% 5.00/4.57 (~always3(s148)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4286, 21914])).
% 5.00/4.57 tff(21916,plain,
% 5.00/4.57 (~always3(s147)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4298, 21915])).
% 5.00/4.57 tff(21917,plain,
% 5.00/4.57 (~node4(s147)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4861, 113, 21916])).
% 5.00/4.57 tff(21918,plain,
% 5.00/4.57 (~always3(s146)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4310, 21916])).
% 5.00/4.57 tff(21919,plain,
% 5.00/4.57 (~always3(s145)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4322, 21918])).
% 5.00/4.57 tff(21920,plain,
% 5.00/4.57 (~node4(s145)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4929, 113, 21919])).
% 5.00/4.57 tff(21921,assumption,(until5(s145)), introduced(assumption)).
% 5.00/4.57 tff(21922,plain,
% 5.00/4.57 (xuntil6(s145) | node4(s145)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4936, 225, 21921])).
% 5.00/4.57 tff(21923,plain,
% 5.00/4.57 (xuntil6(s145)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21922, 21920])).
% 5.00/4.57 tff(21924,plain,
% 5.00/4.57 (until5(s146)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4925, 21923])).
% 5.00/4.57 tff(21925,plain,
% 5.00/4.57 (xuntil6(s146)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4920, 21924])).
% 5.00/4.57 tff(21926,plain,
% 5.00/4.57 (until5(s147)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4874, 21925])).
% 5.00/4.57 tff(21927,plain,
% 5.00/4.57 (xuntil6(s147)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4868, 225, 21926, 21917])).
% 5.00/4.57 tff(21928,plain,
% 5.00/4.57 (until5(s148)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4857, 21927])).
% 5.00/4.57 tff(21929,plain,
% 5.00/4.57 (xuntil6(s148)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21896, 21928])).
% 5.00/4.57 tff(21930,plain,
% 5.00/4.57 (until5(s149)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4843, 21929])).
% 5.00/4.57 tff(21931,plain,
% 5.00/4.57 (~until5(s150)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21893, 21928, 4812])).
% 5.00/4.57 tff(21932,plain,
% 5.00/4.57 (~xuntil6(s149)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4824, 21931])).
% 5.00/4.57 tff(21933,plain,
% 5.00/4.57 (~node4(s149)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4806, 113, 21914])).
% 5.00/4.57 tff(21934,plain,
% 5.00/4.57 (xuntil6(s149) | (~until5(s149))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4850, 225, 21933])).
% 5.00/4.57 tff(21935,plain,
% 5.00/4.57 ($false),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21934, 21932, 21930])).
% 5.00/4.57 tff(21936,plain,(always3(s149) | xuntil6(s150) | (~until5(s145))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.57 tff(21937,plain,
% 5.00/4.57 (always3(s149)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21936, 21860, 21325])).
% 5.00/4.57 tff(21938,plain,
% 5.00/4.57 (~m_main_v_state(s149, c_busy)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[9287, 145, 21937])).
% 5.00/4.57 tff(21939,plain,
% 5.00/4.57 (((~![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))),
% 5.00/4.57 inference(rewrite,[status(thm)],[])).
% 5.00/4.57 tff(21940,plain,
% 5.00/4.57 ((~![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))),
% 5.00/4.57 inference(quant_inst,[status(thm)],[])).
% 5.00/4.57 tff(21941,plain,
% 5.00/4.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s149, c_busy) | m_main_v_state(s149, c_ready)),
% 5.00/4.57 inference(modus_ponens,[status(thm)],[21940, 21939])).
% 5.00/4.57 tff(21942,plain,
% 5.00/4.57 ($false),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21941, 188, 21938, 21913])).
% 5.00/4.57 tff(21943,plain,(always3(s145) | xuntil6(s161)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.57 tff(21944,plain,
% 5.00/4.57 (always3(s145)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21943, 4613])).
% 5.00/4.57 tff(21945,plain,
% 5.00/4.57 (always3(s146)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4322, 21944])).
% 5.00/4.57 tff(21946,plain,
% 5.00/4.57 (~m_main_v_state(s146, c_busy)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4907, 145, 21945])).
% 5.00/4.57 tff(21947,plain,
% 5.00/4.57 (~m_main_v_state(s145, c_busy)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[20984, 145, 21944])).
% 5.00/4.57 tff(21948,plain,
% 5.00/4.57 (((~![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))),
% 5.00/4.57 inference(rewrite,[status(thm)],[])).
% 5.00/4.57 tff(21949,plain,
% 5.00/4.57 ((~![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))),
% 5.00/4.57 inference(quant_inst,[status(thm)],[])).
% 5.00/4.57 tff(21950,plain,
% 5.00/4.57 ((~![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)),
% 5.00/4.57 inference(modus_ponens,[status(thm)],[21949, 21948])).
% 5.00/4.57 tff(21951,plain,
% 5.00/4.57 (m_main_v_state(s145, c_ready)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21950, 188, 21947])).
% 5.00/4.57 tff(21952,plain,
% 5.00/4.57 (((~![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))),
% 5.00/4.57 inference(rewrite,[status(thm)],[])).
% 5.00/4.57 tff(21953,plain,
% 5.00/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s145, s146)) | node2(s145, s146))),
% 5.00/4.57 inference(quant_inst,[status(thm)],[])).
% 5.00/4.57 tff(21954,plain,
% 5.00/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s145, s146)) | node2(s145, s146)),
% 5.00/4.57 inference(modus_ponens,[status(thm)],[21953, 21952])).
% 5.00/4.57 tff(21955,plain,
% 5.00/4.57 (node2(s145, s146)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21954, 7, 4318])).
% 5.00/4.57 tff(21956,plain,
% 5.00/4.57 (((~![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(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)))),
% 5.00/4.57 inference(rewrite,[status(thm)],[])).
% 5.00/4.57 tff(21957,plain,
% 5.00/4.57 ((~![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(s145, c_ready)) | (~node2(s145, s146)) | m_main_v_state(s146, c_busy) | (~m_main_v_request(s145)))),
% 5.00/4.57 inference(quant_inst,[status(thm)],[])).
% 5.00/4.57 tff(21958,plain,
% 5.00/4.57 ((~![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(s145, c_ready)) | (~node2(s145, s146)) | m_main_v_state(s146, c_busy) | (~m_main_v_request(s145))),
% 5.00/4.57 inference(modus_ponens,[status(thm)],[21957, 21956])).
% 5.00/4.57 tff(21959,plain,
% 5.00/4.57 ((~m_main_v_state(s145, c_ready)) | m_main_v_state(s146, c_busy) | (~m_main_v_request(s145))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21958, 166, 21955])).
% 5.00/4.57 tff(21960,plain,
% 5.00/4.57 (~m_main_v_request(s145)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21959, 21951, 21946])).
% 5.00/4.57 tff(21961,plain,
% 5.00/4.57 (((~![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)))),
% 5.00/4.57 inference(rewrite,[status(thm)],[])).
% 5.00/4.57 tff(21962,plain,
% 5.00/4.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s145) | (~node4(s145)))),
% 5.00/4.57 inference(quant_inst,[status(thm)],[])).
% 5.00/4.57 tff(21963,plain,
% 5.00/4.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s145) | (~node4(s145))),
% 5.00/4.57 inference(modus_ponens,[status(thm)],[21962, 21961])).
% 5.00/4.57 tff(21964,plain,
% 5.00/4.57 (~node4(s145)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21963, 63, 21960])).
% 5.00/4.57 tff(21965,plain,
% 5.00/4.57 (xuntil6(s145)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21922, 21964])).
% 5.00/4.57 tff(21966,plain,
% 5.00/4.57 (until5(s146)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4925, 21965])).
% 5.00/4.57 tff(21967,plain,
% 5.00/4.57 (xuntil6(s146)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4920, 21966])).
% 5.00/4.57 tff(21968,plain,
% 5.00/4.57 (until5(s147)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4874, 21967])).
% 5.00/4.57 tff(21969,plain,
% 5.00/4.57 (xuntil6(s147)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21355, 21968])).
% 5.00/4.57 tff(21970,plain,
% 5.00/4.57 (until5(s148)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4857, 21969])).
% 5.00/4.57 tff(21971,plain,
% 5.00/4.57 (always3(s147)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4310, 21945])).
% 5.00/4.57 tff(21972,plain,
% 5.00/4.57 (always3(s148)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4298, 21971])).
% 5.00/4.57 tff(21973,plain,
% 5.00/4.57 (always3(s149)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4286, 21972])).
% 5.00/4.57 tff(21974,plain,
% 5.00/4.57 (always3(s150)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4274, 21973])).
% 5.00/4.57 tff(21975,plain,
% 5.00/4.57 (~m_main_v_state(s150, c_busy)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21867, 145, 21974])).
% 5.00/4.57 tff(21976,plain,
% 5.00/4.57 (~m_main_v_state(s149, c_busy)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[9287, 145, 21973])).
% 5.00/4.57 tff(21977,plain,
% 5.00/4.57 (m_main_v_state(s149, c_ready)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21941, 188, 21976])).
% 5.00/4.57 tff(21978,plain,
% 5.00/4.57 (~m_main_v_request(s149)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21912, 21977, 21975])).
% 5.00/4.57 tff(21979,plain,
% 5.00/4.57 (~node4(s149)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21903, 63, 21978])).
% 5.00/4.57 tff(21980,plain,
% 5.00/4.57 (xuntil6(s148)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21896, 21970])).
% 5.00/4.57 tff(21981,plain,
% 5.00/4.57 (until5(s149)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4843, 21980])).
% 5.00/4.57 tff(21982,plain,
% 5.00/4.57 (xuntil6(s149)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4850, 225, 21981, 21979])).
% 5.00/4.57 tff(21983,plain,
% 5.00/4.57 (until5(s150)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4824, 21982])).
% 5.00/4.57 tff(21984,plain,
% 5.00/4.57 (always3(s151)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4262, 21974])).
% 5.00/4.57 tff(21985,plain,
% 5.00/4.57 (always3(s152)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4250, 21984])).
% 5.00/4.57 tff(21986,plain,
% 5.00/4.57 (~m_main_v_state(s152, c_busy)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[9220, 145, 21985])).
% 5.00/4.57 tff(21987,plain,
% 5.00/4.57 (~m_main_v_state(s151, c_busy)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21839, 145, 21984])).
% 5.00/4.57 tff(21988,plain,
% 5.00/4.57 (m_main_v_state(s151, c_ready)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21843, 188, 21987])).
% 5.00/4.57 tff(21989,plain,
% 5.00/4.57 (~m_main_v_request(s151)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21852, 21988, 21986])).
% 5.00/4.57 tff(21990,plain,
% 5.00/4.57 (~node4(s151)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21856, 63, 21989])).
% 5.00/4.57 tff(21991,plain,
% 5.00/4.57 (always3(s158)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21553, 4613, 21386])).
% 5.00/4.57 tff(21992,plain,
% 5.00/4.57 (~m_main_v_state(s158, c_busy)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21560, 145, 21991])).
% 5.00/4.57 tff(21993,plain,
% 5.00/4.57 (always3(s159)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4166, 21991])).
% 5.00/4.57 tff(21994,plain,
% 5.00/4.57 (always3(s160)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4154, 21993])).
% 5.00/4.57 tff(21995,plain,
% 5.00/4.57 (always3(s161)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4142, 21994])).
% 5.00/4.57 tff(21996,plain,
% 5.00/4.57 (always3(s162)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4130, 21995])).
% 5.00/4.57 tff(21997,plain,
% 5.00/4.57 (~m_main_v_state(s162, c_busy)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4583, 145, 21996])).
% 5.00/4.57 tff(21998,plain,
% 5.00/4.57 (~m_main_v_state(s161, c_busy)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[9047, 145, 21995])).
% 5.00/4.57 tff(21999,plain,
% 5.00/4.57 (m_main_v_state(s161, c_ready)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21448, 188, 21998])).
% 5.00/4.57 tff(22000,plain,
% 5.00/4.57 (~m_main_v_request(s161)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21457, 21999, 21997])).
% 5.00/4.57 tff(22001,plain,
% 5.00/4.57 (~node4(s161)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21461, 63, 22000])).
% 5.00/4.57 tff(22002,plain,
% 5.00/4.57 (~until5(s161)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4620, 22001])).
% 5.00/4.57 tff(22003,plain,
% 5.00/4.57 (~xuntil6(s160)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4625, 22002])).
% 5.00/4.57 tff(22004,plain,
% 5.00/4.57 (~until5(s160)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21465, 22003])).
% 5.00/4.57 tff(22005,plain,
% 5.00/4.57 (~xuntil6(s159)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4637, 22004])).
% 5.00/4.57 tff(22006,plain,
% 5.00/4.57 (~m_main_v_state(s160, c_busy)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[9063, 145, 21994])).
% 5.00/4.57 tff(22007,plain,
% 5.00/4.57 (~m_main_v_state(s159, c_busy)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21547, 145, 21993])).
% 5.00/4.57 tff(22008,plain,
% 5.00/4.57 (m_main_v_state(s158, c_ready)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21583, 21992])).
% 5.00/4.57 tff(22009,plain,
% 5.00/4.57 (m_main_v_state(s159, c_ready)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21609, 22008, 22007])).
% 5.00/4.57 tff(22010,plain,
% 5.00/4.57 (~m_main_v_request(s159)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21540, 22009, 22006])).
% 5.00/4.57 tff(22011,plain,
% 5.00/4.57 (~node4(s159)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21510, 63, 22010])).
% 5.00/4.57 tff(22012,plain,
% 5.00/4.57 (xuntil6(s159) | (~until5(s159))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4649, 225, 22011])).
% 5.00/4.57 tff(22013,plain,
% 5.00/4.57 (~until5(s159)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22012, 22005])).
% 5.00/4.57 tff(22014,plain,
% 5.00/4.57 (~xuntil6(s158)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4655, 22013])).
% 5.00/4.57 tff(22015,plain,
% 5.00/4.57 (~node4(s158)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21625, 22007])).
% 5.00/4.57 tff(22016,plain,
% 5.00/4.57 (xuntil6(s158) | (~until5(s158))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4667, 225, 22015])).
% 5.00/4.57 tff(22017,plain,
% 5.00/4.57 (~until5(s158)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22016, 22014])).
% 5.00/4.57 tff(22018,plain,
% 5.00/4.57 (~xuntil6(s157)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4673, 22017])).
% 5.00/4.57 tff(22019,plain,
% 5.00/4.57 (~until5(s152)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21753, 22018, 21992])).
% 5.00/4.57 tff(22020,plain,
% 5.00/4.57 (~xuntil6(s151)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4783, 22019])).
% 5.00/4.57 tff(22021,plain,
% 5.00/4.57 (~until5(s151)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4794, 225, 22020, 21990])).
% 5.00/4.57 tff(22022,plain,
% 5.00/4.57 (~xuntil6(s150)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4800, 22021])).
% 5.00/4.57 tff(22023,plain,
% 5.00/4.57 ($false),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[21893, 22022, 21983, 21970])).
% 5.00/4.57 tff(22024,plain,(xuntil6(s161) | (~until5(s145)) | (~until5(s133))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.57 tff(22025,plain,
% 5.00/4.57 (xuntil6(s161)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22024, 21027, 19280])).
% 5.00/4.57 tff(22026,plain,
% 5.00/4.57 (until5(s162)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4601, 22025])).
% 5.00/4.57 tff(22027,plain,
% 5.00/4.57 (xuntil6(s162)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4596, 22026])).
% 5.00/4.57 tff(22028,plain,
% 5.00/4.57 (until5(s163)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4550, 22027])).
% 5.00/4.57 tff(22029,assumption,(~xuntil6(s163)), introduced(assumption)).
% 5.00/4.57 tff(22030,assumption,(~always3(s163)), introduced(assumption)).
% 5.00/4.57 tff(22031,plain,
% 5.00/4.57 (~always3(s162)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4118, 22030])).
% 5.00/4.57 tff(22032,plain,
% 5.00/4.57 (~always3(s161)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4130, 22031])).
% 5.00/4.57 tff(22033,plain,
% 5.00/4.57 (~always3(s160)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4142, 22032])).
% 5.00/4.57 tff(22034,plain,
% 5.00/4.57 (~always3(s159)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4154, 22033])).
% 5.00/4.57 tff(22035,plain,
% 5.00/4.57 (~always3(s158)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4166, 22034])).
% 5.00/4.57 tff(22036,plain,
% 5.00/4.57 (~always3(s157)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4178, 22035])).
% 5.00/4.57 tff(22037,plain,
% 5.00/4.57 (~always3(s156)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4190, 22036])).
% 5.00/4.57 tff(22038,plain,
% 5.00/4.57 (~always3(s155)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4202, 22037])).
% 5.00/4.57 tff(22039,plain,
% 5.00/4.57 (~always3(s154)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4214, 22038])).
% 5.00/4.57 tff(22040,plain,
% 5.00/4.57 (~always3(s153)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4226, 22039])).
% 5.00/4.57 tff(22041,plain,
% 5.00/4.57 (~always3(s152)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4238, 22040])).
% 5.00/4.57 tff(22042,plain,
% 5.00/4.57 (~always3(s151)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4250, 22041])).
% 5.00/4.57 tff(22043,plain,
% 5.00/4.57 (~always3(s150)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4262, 22042])).
% 5.00/4.57 tff(22044,plain,
% 5.00/4.57 (~always3(s149)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4274, 22043])).
% 5.00/4.57 tff(22045,plain,
% 5.00/4.57 (~always3(s148)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4286, 22044])).
% 5.00/4.57 tff(22046,plain,
% 5.00/4.57 (~always3(s147)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4298, 22045])).
% 5.00/4.57 tff(22047,plain,
% 5.00/4.57 (~always3(s146)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4310, 22046])).
% 5.00/4.57 tff(22048,plain,
% 5.00/4.57 (~always3(s145)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4322, 22047])).
% 5.00/4.57 tff(22049,plain,
% 5.00/4.57 (~always3(s144)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4334, 22048])).
% 5.00/4.57 tff(22050,plain,
% 5.00/4.57 (~node4(s151)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4787, 113, 22042])).
% 5.00/4.57 tff(22051,plain,
% 5.00/4.57 (~node4(s163)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4338, 113, 22030])).
% 5.00/4.57 tff(22052,plain,
% 5.00/4.57 (node4(s163) | (~until5(s163))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4545, 225, 22029])).
% 5.00/4.57 tff(22053,plain,
% 5.00/4.57 (~until5(s163)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22052, 22051])).
% 5.00/4.57 tff(22054,plain,
% 5.00/4.57 (~xuntil6(s162)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4550, 22053])).
% 5.00/4.57 tff(22055,plain,
% 5.00/4.57 (~until5(s162)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4596, 22054])).
% 5.00/4.57 tff(22056,plain,
% 5.00/4.57 (~xuntil6(s161)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4601, 22055])).
% 5.00/4.57 tff(22057,plain,
% 5.00/4.57 (~until5(s152)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4778, 22056, 22032])).
% 5.00/4.57 tff(22058,plain,
% 5.00/4.57 (~xuntil6(s151)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4783, 22057])).
% 5.00/4.57 tff(22059,plain,
% 5.00/4.57 (~until5(s151)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4794, 225, 22058, 22050])).
% 5.00/4.57 tff(22060,plain,
% 5.00/4.57 (~xuntil6(s150)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4800, 22059])).
% 5.00/4.57 tff(22061,plain,
% 5.00/4.57 (~until5(s148)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4852, 22060, 22043])).
% 5.00/4.57 tff(22062,plain,
% 5.00/4.57 (~xuntil6(s147)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4857, 22061])).
% 5.00/4.57 tff(22063,plain,
% 5.00/4.57 (~node4(s147)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4861, 113, 22046])).
% 5.00/4.57 tff(22064,plain,
% 5.00/4.57 (xuntil6(s147) | (~until5(s147))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4868, 225, 22063])).
% 5.00/4.57 tff(22065,plain,
% 5.00/4.57 (~until5(s147)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22064, 22062])).
% 5.00/4.57 tff(22066,plain,
% 5.00/4.57 (~xuntil6(s146)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4874, 22065])).
% 5.00/4.57 tff(22067,plain,
% 5.00/4.57 (~until5(s146)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4920, 22066])).
% 5.00/4.57 tff(22068,plain,
% 5.00/4.57 (~xuntil6(s145)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4925, 22067])).
% 5.00/4.57 tff(22069,plain,
% 5.00/4.57 (~node4(s145)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4929, 113, 22048])).
% 5.00/4.57 tff(22070,plain,
% 5.00/4.57 (xuntil6(s145) | (~until5(s145))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4936, 225, 22069])).
% 5.00/4.57 tff(22071,plain,
% 5.00/4.57 (~until5(s145)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22070, 22068])).
% 5.00/4.57 tff(22072,plain,
% 5.00/4.57 (~xuntil6(s144)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4942, 22071])).
% 5.00/4.57 tff(22073,plain,
% 5.00/4.57 (~until5(s143)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4988, 22072, 22049])).
% 5.00/4.57 tff(22074,plain,
% 5.00/4.57 (~xuntil6(s142)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4996, 22073])).
% 5.00/4.57 tff(22075,plain,
% 5.00/4.57 (~always3(s143)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4968, 22049])).
% 5.00/4.57 tff(22076,plain,
% 5.00/4.57 (~always3(s142)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5006, 22075])).
% 5.00/4.57 tff(22077,plain,
% 5.00/4.57 (~node4(s142)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5010, 113, 22076])).
% 5.00/4.57 tff(22078,plain,
% 5.00/4.57 (xuntil6(s142) | (~until5(s142))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5017, 225, 22077])).
% 5.00/4.57 tff(22079,plain,
% 5.00/4.57 (~until5(s142)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22078, 22074])).
% 5.00/4.57 tff(22080,plain,
% 5.00/4.57 (~xuntil6(s141)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5026, 22079])).
% 5.00/4.57 tff(22081,plain,
% 5.00/4.57 (~always3(s141)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5035, 22076])).
% 5.00/4.57 tff(22082,plain,
% 5.00/4.57 (~node4(s141)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5039, 113, 22081])).
% 5.00/4.57 tff(22083,plain,
% 5.00/4.57 (xuntil6(s141) | (~until5(s141))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5046, 225, 22082])).
% 5.00/4.57 tff(22084,plain,
% 5.00/4.57 (~until5(s141)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22083, 22080])).
% 5.00/4.57 tff(22085,plain,
% 5.00/4.57 (~xuntil6(s140)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5055, 22084])).
% 5.00/4.57 tff(22086,plain,
% 5.00/4.57 (~always3(s140)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5064, 22081])).
% 5.00/4.57 tff(22087,plain,
% 5.00/4.57 (~node4(s140)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5068, 113, 22086])).
% 5.00/4.57 tff(22088,plain,
% 5.00/4.57 (xuntil6(s140) | (~until5(s140))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5075, 225, 22087])).
% 5.00/4.57 tff(22089,plain,
% 5.00/4.57 (~until5(s140)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22088, 22085])).
% 5.00/4.57 tff(22090,plain,
% 5.00/4.57 (~xuntil6(s139)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5084, 22089])).
% 5.00/4.57 tff(22091,plain,
% 5.00/4.57 (~always3(s139)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5093, 22086])).
% 5.00/4.57 tff(22092,plain,
% 5.00/4.57 (~node4(s139)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5097, 113, 22091])).
% 5.00/4.57 tff(22093,plain,
% 5.00/4.57 (xuntil6(s139) | (~until5(s139))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5104, 225, 22092])).
% 5.00/4.57 tff(22094,plain,
% 5.00/4.57 (~until5(s139)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22093, 22090])).
% 5.00/4.57 tff(22095,plain,
% 5.00/4.57 (~xuntil6(s138)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5113, 22094])).
% 5.00/4.57 tff(22096,plain,
% 5.00/4.57 (~always3(s138)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5122, 22091])).
% 5.00/4.57 tff(22097,plain,
% 5.00/4.57 (~node4(s138)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5126, 113, 22096])).
% 5.00/4.57 tff(22098,plain,
% 5.00/4.57 (xuntil6(s138) | (~until5(s138))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5133, 225, 22097])).
% 5.00/4.57 tff(22099,plain,
% 5.00/4.57 (~until5(s138)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22098, 22095])).
% 5.00/4.57 tff(22100,plain,
% 5.00/4.57 (~xuntil6(s137)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5142, 22099])).
% 5.00/4.57 tff(22101,plain,
% 5.00/4.57 (~always3(s137)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5151, 22096])).
% 5.00/4.57 tff(22102,plain,
% 5.00/4.57 (~node4(s137)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5155, 113, 22101])).
% 5.00/4.57 tff(22103,plain,
% 5.00/4.57 (xuntil6(s137) | (~until5(s137))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5162, 225, 22102])).
% 5.00/4.57 tff(22104,plain,
% 5.00/4.57 (~until5(s137)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22103, 22100])).
% 5.00/4.57 tff(22105,plain,
% 5.00/4.57 (~xuntil6(s136)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5171, 22104])).
% 5.00/4.57 tff(22106,plain,
% 5.00/4.57 (~always3(s136)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5180, 22101])).
% 5.00/4.57 tff(22107,plain,
% 5.00/4.57 (~node4(s136)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5184, 113, 22106])).
% 5.00/4.57 tff(22108,plain,
% 5.00/4.57 (xuntil6(s136) | (~until5(s136))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5191, 225, 22107])).
% 5.00/4.57 tff(22109,plain,
% 5.00/4.57 (~until5(s136)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22108, 22105])).
% 5.00/4.57 tff(22110,plain,
% 5.00/4.57 (~xuntil6(s135)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5200, 22109])).
% 5.00/4.57 tff(22111,plain,
% 5.00/4.57 (~always3(s135)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5209, 22106])).
% 5.00/4.57 tff(22112,plain,
% 5.00/4.57 (~node4(s135)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5213, 113, 22111])).
% 5.00/4.57 tff(22113,plain,
% 5.00/4.57 (xuntil6(s135) | (~until5(s135))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5220, 225, 22112])).
% 5.00/4.57 tff(22114,plain,
% 5.00/4.57 (~until5(s135)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22113, 22110])).
% 5.00/4.57 tff(22115,plain,
% 5.00/4.57 (~xuntil6(s134)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5229, 22114])).
% 5.00/4.57 tff(22116,plain,
% 5.00/4.57 (~always3(s134)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5238, 22111])).
% 5.00/4.57 tff(22117,plain,
% 5.00/4.57 (~node4(s134)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5242, 113, 22116])).
% 5.00/4.57 tff(22118,plain,
% 5.00/4.57 (xuntil6(s134) | (~until5(s134))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5249, 225, 22117])).
% 5.00/4.57 tff(22119,plain,
% 5.00/4.57 (~until5(s134)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22118, 22115])).
% 5.00/4.57 tff(22120,plain,
% 5.00/4.57 (~xuntil6(s133)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5258, 22119])).
% 5.00/4.57 tff(22121,plain,
% 5.00/4.57 (~always3(s133)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5267, 22116])).
% 5.00/4.57 tff(22122,plain,
% 5.00/4.57 (~node4(s133)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5271, 113, 22121])).
% 5.00/4.57 tff(22123,plain,
% 5.00/4.57 (xuntil6(s133) | (~until5(s133))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5278, 225, 22122])).
% 5.00/4.57 tff(22124,plain,
% 5.00/4.57 (~until5(s133)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22123, 22120])).
% 5.00/4.57 tff(22125,plain,
% 5.00/4.57 (~xuntil6(s132)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5287, 22124])).
% 5.00/4.57 tff(22126,plain,
% 5.00/4.57 (~always3(s132)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5296, 22121])).
% 5.00/4.57 tff(22127,plain,
% 5.00/4.57 (~node4(s132)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5300, 113, 22126])).
% 5.00/4.57 tff(22128,plain,
% 5.00/4.57 (xuntil6(s132) | (~until5(s132))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5307, 225, 22127])).
% 5.00/4.57 tff(22129,plain,
% 5.00/4.57 (~until5(s132)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22128, 22125])).
% 5.00/4.57 tff(22130,plain,
% 5.00/4.57 (~xuntil6(s131)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5316, 22129])).
% 5.00/4.57 tff(22131,plain,
% 5.00/4.57 (~always3(s131)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5325, 22126])).
% 5.00/4.57 tff(22132,plain,
% 5.00/4.57 (~node4(s131)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5329, 113, 22131])).
% 5.00/4.57 tff(22133,plain,
% 5.00/4.57 (xuntil6(s131) | (~until5(s131))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5336, 225, 22132])).
% 5.00/4.57 tff(22134,plain,
% 5.00/4.57 (~until5(s131)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22133, 22130])).
% 5.00/4.57 tff(22135,plain,
% 5.00/4.57 (~xuntil6(s130)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5345, 22134])).
% 5.00/4.57 tff(22136,plain,
% 5.00/4.57 (~always3(s130)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5354, 22131])).
% 5.00/4.57 tff(22137,plain,
% 5.00/4.57 (~node4(s130)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5358, 113, 22136])).
% 5.00/4.57 tff(22138,plain,
% 5.00/4.57 (xuntil6(s130) | (~until5(s130))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5365, 225, 22137])).
% 5.00/4.57 tff(22139,plain,
% 5.00/4.57 (~until5(s130)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22138, 22135])).
% 5.00/4.57 tff(22140,plain,
% 5.00/4.57 (~xuntil6(s129)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5374, 22139])).
% 5.00/4.57 tff(22141,plain,
% 5.00/4.57 (~always3(s129)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5383, 22136])).
% 5.00/4.57 tff(22142,plain,
% 5.00/4.57 (~node4(s129)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5387, 113, 22141])).
% 5.00/4.57 tff(22143,plain,
% 5.00/4.57 (xuntil6(s129) | (~until5(s129))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5394, 225, 22142])).
% 5.00/4.57 tff(22144,plain,
% 5.00/4.57 (~until5(s129)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22143, 22140])).
% 5.00/4.57 tff(22145,plain,
% 5.00/4.57 (~xuntil6(s128)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5403, 22144])).
% 5.00/4.57 tff(22146,plain,
% 5.00/4.57 (~always3(s128)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5412, 22141])).
% 5.00/4.57 tff(22147,plain,
% 5.00/4.57 (~node4(s128)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5416, 113, 22146])).
% 5.00/4.57 tff(22148,plain,
% 5.00/4.57 (xuntil6(s128) | (~until5(s128))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5423, 225, 22147])).
% 5.00/4.57 tff(22149,plain,
% 5.00/4.57 (~until5(s128)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22148, 22145])).
% 5.00/4.57 tff(22150,plain,
% 5.00/4.57 (~xuntil6(s127)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7996, 22149])).
% 5.00/4.57 tff(22151,plain,
% 5.00/4.57 (~always3(s127)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5436, 22146])).
% 5.00/4.57 tff(22152,plain,
% 5.00/4.57 (~node4(s127)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7983, 113, 22151])).
% 5.00/4.57 tff(22153,plain,
% 5.00/4.57 (xuntil6(s127) | (~until5(s127))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7990, 225, 22152])).
% 5.00/4.57 tff(22154,plain,
% 5.00/4.57 (~until5(s127)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22153, 22150])).
% 5.00/4.57 tff(22155,plain,
% 5.00/4.57 (~xuntil6(s126)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7979, 22154])).
% 5.00/4.57 tff(22156,plain,
% 5.00/4.57 (~always3(s126)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5448, 22151])).
% 5.00/4.57 tff(22157,plain,
% 5.00/4.57 (~always3(s125)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5460, 22156])).
% 5.00/4.57 tff(22158,plain,
% 5.00/4.57 (~always3(s124)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5472, 22157])).
% 5.00/4.57 tff(22159,plain,
% 5.00/4.57 (~always3(s123)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5484, 22158])).
% 5.00/4.57 tff(22160,plain,
% 5.00/4.57 (~always3(s122)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5496, 22159])).
% 5.00/4.57 tff(22161,plain,
% 5.00/4.57 (~always3(s121)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5508, 22160])).
% 5.00/4.57 tff(22162,plain,
% 5.00/4.57 (~always3(s120)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5520, 22161])).
% 5.00/4.57 tff(22163,plain,
% 5.00/4.57 (~always3(s119)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5532, 22162])).
% 5.00/4.57 tff(22164,plain,
% 5.00/4.57 (~always3(s118)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5544, 22163])).
% 5.00/4.57 tff(22165,plain,
% 5.00/4.57 (~always3(s117)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5556, 22164])).
% 5.00/4.57 tff(22166,plain,
% 5.00/4.57 (~always3(s116)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5568, 22165])).
% 5.00/4.57 tff(22167,plain,
% 5.00/4.57 (~always3(s115)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5580, 22166])).
% 5.00/4.57 tff(22168,plain,
% 5.00/4.57 (~always3(s114)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5592, 22167])).
% 5.00/4.57 tff(22169,plain,
% 5.00/4.57 (~always3(s113)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5604, 22168])).
% 5.00/4.57 tff(22170,plain,
% 5.00/4.57 (~always3(s112)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5616, 22169])).
% 5.00/4.57 tff(22171,plain,
% 5.00/4.57 (~always3(s111)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5628, 22170])).
% 5.00/4.57 tff(22172,plain,
% 5.00/4.57 (~always3(s110)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5640, 22171])).
% 5.00/4.57 tff(22173,plain,
% 5.00/4.57 (~always3(s109)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5652, 22172])).
% 5.00/4.57 tff(22174,plain,
% 5.00/4.57 (~always3(s108)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5664, 22173])).
% 5.00/4.57 tff(22175,plain,
% 5.00/4.57 (~always3(s107)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5676, 22174])).
% 5.00/4.57 tff(22176,plain,
% 5.00/4.57 (~always3(s106)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5688, 22175])).
% 5.00/4.57 tff(22177,plain,
% 5.00/4.57 (~always3(s105)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5700, 22176])).
% 5.00/4.57 tff(22178,plain,
% 5.00/4.57 (~always3(s104)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5712, 22177])).
% 5.00/4.57 tff(22179,plain,
% 5.00/4.57 (~node4(s104)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5716, 113, 22178])).
% 5.00/4.57 tff(22180,plain,
% 5.00/4.57 (~always3(s103)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5728, 22178])).
% 5.00/4.57 tff(22181,plain,
% 5.00/4.57 (~always3(s102)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5740, 22180])).
% 5.00/4.57 tff(22182,plain,
% 5.00/4.57 (~always3(s101)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5752, 22181])).
% 5.00/4.57 tff(22183,plain,
% 5.00/4.57 (~always3(s100)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5764, 22182])).
% 5.00/4.57 tff(22184,plain,
% 5.00/4.57 (~always3(s99)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5776, 22183])).
% 5.00/4.57 tff(22185,plain,
% 5.00/4.57 (~always3(s98)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5788, 22184])).
% 5.00/4.57 tff(22186,plain,
% 5.00/4.57 (~always3(s97)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5800, 22185])).
% 5.00/4.57 tff(22187,plain,
% 5.00/4.57 (~always3(s96)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5812, 22186])).
% 5.00/4.57 tff(22188,plain,
% 5.00/4.57 (~always3(s95)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5824, 22187])).
% 5.00/4.57 tff(22189,plain,
% 5.00/4.57 (~always3(s94)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5836, 22188])).
% 5.00/4.57 tff(22190,plain,
% 5.00/4.57 (~always3(s93)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5848, 22189])).
% 5.00/4.57 tff(22191,plain,
% 5.00/4.57 (~always3(s92)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5860, 22190])).
% 5.00/4.57 tff(22192,plain,
% 5.00/4.57 (~always3(s91)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5872, 22191])).
% 5.00/4.57 tff(22193,plain,
% 5.00/4.57 (~always3(s90)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5884, 22192])).
% 5.00/4.57 tff(22194,plain,
% 5.00/4.57 (~always3(s89)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5896, 22193])).
% 5.00/4.57 tff(22195,plain,
% 5.00/4.57 (~always3(s88)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5908, 22194])).
% 5.00/4.57 tff(22196,plain,
% 5.00/4.57 (~always3(s87)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5920, 22195])).
% 5.00/4.57 tff(22197,plain,
% 5.00/4.57 (~always3(s86)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5932, 22196])).
% 5.00/4.57 tff(22198,plain,
% 5.00/4.57 (~always3(s85)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5944, 22197])).
% 5.00/4.57 tff(22199,plain,
% 5.00/4.57 (~always3(s84)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5956, 22198])).
% 5.00/4.57 tff(22200,plain,
% 5.00/4.57 (~always3(s83)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5968, 22199])).
% 5.00/4.57 tff(22201,plain,
% 5.00/4.57 (~always3(s82)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5980, 22200])).
% 5.00/4.57 tff(22202,plain,
% 5.00/4.57 (~always3(s81)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[5992, 22201])).
% 5.00/4.57 tff(22203,plain,
% 5.00/4.57 (~always3(s80)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6004, 22202])).
% 5.00/4.57 tff(22204,plain,
% 5.00/4.57 (~always3(s79)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6016, 22203])).
% 5.00/4.57 tff(22205,plain,
% 5.00/4.57 (~always3(s78)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6028, 22204])).
% 5.00/4.57 tff(22206,plain,
% 5.00/4.57 (~always3(s77)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6040, 22205])).
% 5.00/4.57 tff(22207,plain,
% 5.00/4.57 (~always3(s76)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6052, 22206])).
% 5.00/4.57 tff(22208,plain,
% 5.00/4.57 (~always3(s75)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6064, 22207])).
% 5.00/4.57 tff(22209,plain,
% 5.00/4.57 (~always3(s74)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6076, 22208])).
% 5.00/4.57 tff(22210,plain,
% 5.00/4.57 (~always3(s73)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6088, 22209])).
% 5.00/4.57 tff(22211,plain,
% 5.00/4.57 (~always3(s72)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6100, 22210])).
% 5.00/4.57 tff(22212,plain,
% 5.00/4.57 (~always3(s71)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6112, 22211])).
% 5.00/4.57 tff(22213,plain,
% 5.00/4.57 (~always3(s70)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6124, 22212])).
% 5.00/4.57 tff(22214,plain,
% 5.00/4.57 (~always3(s69)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6136, 22213])).
% 5.00/4.57 tff(22215,plain,
% 5.00/4.57 (~always3(s68)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6148, 22214])).
% 5.00/4.57 tff(22216,plain,
% 5.00/4.57 (~always3(s67)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6160, 22215])).
% 5.00/4.57 tff(22217,plain,
% 5.00/4.57 (~always3(s66)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6172, 22216])).
% 5.00/4.57 tff(22218,plain,
% 5.00/4.57 (~always3(s65)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6184, 22217])).
% 5.00/4.57 tff(22219,plain,
% 5.00/4.57 (~always3(s64)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6196, 22218])).
% 5.00/4.57 tff(22220,plain,
% 5.00/4.57 (~always3(s63)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6208, 22219])).
% 5.00/4.57 tff(22221,plain,
% 5.00/4.57 (~always3(s62)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6220, 22220])).
% 5.00/4.57 tff(22222,plain,
% 5.00/4.57 (~always3(s61)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6232, 22221])).
% 5.00/4.57 tff(22223,plain,
% 5.00/4.57 (~always3(s60)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6244, 22222])).
% 5.00/4.57 tff(22224,plain,
% 5.00/4.57 (~always3(s59)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6256, 22223])).
% 5.00/4.57 tff(22225,plain,
% 5.00/4.57 (~always3(s58)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6268, 22224])).
% 5.00/4.57 tff(22226,plain,
% 5.00/4.57 (~always3(s57)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6280, 22225])).
% 5.00/4.57 tff(22227,plain,
% 5.00/4.57 (~always3(s56)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6292, 22226])).
% 5.00/4.57 tff(22228,plain,
% 5.00/4.57 (~always3(s55)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6304, 22227])).
% 5.00/4.57 tff(22229,plain,
% 5.00/4.57 (~always3(s54)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6316, 22228])).
% 5.00/4.57 tff(22230,plain,
% 5.00/4.57 (~always3(s53)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6328, 22229])).
% 5.00/4.57 tff(22231,plain,
% 5.00/4.57 (~always3(s52)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6340, 22230])).
% 5.00/4.57 tff(22232,plain,
% 5.00/4.57 (~always3(s51)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6352, 22231])).
% 5.00/4.57 tff(22233,plain,
% 5.00/4.57 (~always3(s50)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6364, 22232])).
% 5.00/4.57 tff(22234,plain,
% 5.00/4.57 (~always3(s49)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6376, 22233])).
% 5.00/4.57 tff(22235,plain,
% 5.00/4.57 (~always3(s48)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6388, 22234])).
% 5.00/4.57 tff(22236,plain,
% 5.00/4.57 (~always3(s47)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6400, 22235])).
% 5.00/4.57 tff(22237,plain,
% 5.00/4.57 (~always3(s46)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6412, 22236])).
% 5.00/4.57 tff(22238,plain,
% 5.00/4.57 (~always3(s45)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6424, 22237])).
% 5.00/4.57 tff(22239,plain,
% 5.00/4.57 (~always3(s44)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[6436, 22238])).
% 5.00/4.57 tff(22240,plain,
% 5.00/4.57 (~always3(s43)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[81, 22239])).
% 5.00/4.57 tff(22241,plain,
% 5.00/4.57 (~always3(s42)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[93, 22240])).
% 5.00/4.57 tff(22242,plain,
% 5.00/4.57 (~always3(s41)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[105, 22241])).
% 5.00/4.57 tff(22243,plain,
% 5.00/4.57 (~always3(s40)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[137, 22242])).
% 5.00/4.57 tff(22244,plain,
% 5.00/4.57 (~always3(s39)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[3143, 22243])).
% 5.00/4.57 tff(22245,plain,
% 5.00/4.57 (~always3(s38)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[2699, 22244])).
% 5.00/4.57 tff(22246,plain,
% 5.00/4.57 (~node4(s38)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[2678, 113, 22245])).
% 5.00/4.57 tff(22247,plain,
% 5.00/4.57 (~always3(s37)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[2375, 22245])).
% 5.00/4.57 tff(22248,plain,
% 5.00/4.57 (~always3(s36)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[2387, 22247])).
% 5.00/4.57 tff(22249,plain,
% 5.00/4.57 (~always3(s35)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[2399, 22248])).
% 5.00/4.57 tff(22250,plain,
% 5.00/4.57 (~always3(s34)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[2411, 22249])).
% 5.00/4.57 tff(22251,plain,
% 5.00/4.57 (~always3(s33)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[2423, 22250])).
% 5.00/4.57 tff(22252,plain,
% 5.00/4.57 (~always3(s32)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[2435, 22251])).
% 5.00/4.57 tff(22253,plain,
% 5.00/4.57 (~always3(s31)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[2447, 22252])).
% 5.00/4.57 tff(22254,plain,
% 5.00/4.57 (~always3(s30)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[2326, 22253])).
% 5.00/4.57 tff(22255,plain,
% 5.00/4.57 (~always3(s29)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[2229, 22254])).
% 5.00/4.57 tff(22256,plain,
% 5.00/4.57 (~always3(s28)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[2173, 22255])).
% 5.00/4.57 tff(22257,plain,
% 5.00/4.57 (~always3(s27)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[2081, 22256])).
% 5.00/4.57 tff(22258,plain,
% 5.00/4.57 (~always3(s26)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[1993, 22257])).
% 5.00/4.57 tff(22259,plain,
% 5.00/4.57 (~always3(s25)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[1873, 22258])).
% 5.00/4.57 tff(22260,plain,
% 5.00/4.57 (~always3(s24)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[1771, 22259])).
% 5.00/4.57 tff(22261,plain,
% 5.00/4.57 (~always3(s23)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[1816, 22260])).
% 5.00/4.57 tff(22262,plain,
% 5.00/4.57 (~always3(s22)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[1557, 22261])).
% 5.00/4.57 tff(22263,plain,
% 5.00/4.57 (~always3(s21)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[1306, 22262])).
% 5.00/4.57 tff(22264,plain,
% 5.00/4.57 (~always3(s20)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[1351, 22263])).
% 5.00/4.57 tff(22265,plain,
% 5.00/4.57 (~always3(s19)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[1363, 22264])).
% 5.00/4.57 tff(22266,plain,
% 5.00/4.57 (~always3(s18)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[1379, 22265])).
% 5.00/4.57 tff(22267,plain,
% 5.00/4.57 (~always3(s17)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[1395, 22266])).
% 5.00/4.57 tff(22268,plain,
% 5.00/4.57 (~always3(s16)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[1407, 22267])).
% 5.00/4.57 tff(22269,plain,
% 5.00/4.57 (~always3(s15)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[654, 22268])).
% 5.00/4.57 tff(22270,plain,
% 5.00/4.57 (xuntil6(s15)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[642, 22269])).
% 5.00/4.57 tff(22271,plain,
% 5.00/4.57 (until5(s16)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[1292, 22270])).
% 5.00/4.57 tff(22272,plain,
% 5.00/4.57 (xuntil6(s37)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[2661, 22271, 22247])).
% 5.00/4.57 tff(22273,plain,
% 5.00/4.57 (until5(s38)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[2666, 22272])).
% 5.00/4.57 tff(22274,plain,
% 5.00/4.57 (xuntil6(s38) | node4(s38)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[2673, 225, 22273])).
% 5.00/4.57 tff(22275,plain,
% 5.00/4.57 (xuntil6(s38)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22274, 22246])).
% 5.00/4.57 tff(22276,plain,
% 5.00/4.57 (until5(s39)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[3122, 22275])).
% 5.00/4.57 tff(22277,plain,
% 5.00/4.57 (xuntil6(s103)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7588, 22276, 22180])).
% 5.00/4.57 tff(22278,plain,
% 5.00/4.57 (until5(s104)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7593, 22277])).
% 5.00/4.57 tff(22279,plain,
% 5.00/4.57 (xuntil6(s104)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7600, 225, 22278, 22179])).
% 5.00/4.57 tff(22280,plain,
% 5.00/4.57 (until5(s105)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7605, 22279])).
% 5.00/4.57 tff(22281,plain,
% 5.00/4.57 (~node4(s105)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7609, 113, 22177])).
% 5.00/4.57 tff(22282,plain,
% 5.00/4.57 (xuntil6(s105) | (~until5(s105))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7616, 225, 22281])).
% 5.00/4.57 tff(22283,plain,
% 5.00/4.57 (xuntil6(s105)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22282, 22280])).
% 5.00/4.57 tff(22284,plain,
% 5.00/4.57 (until5(s106)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7622, 22283])).
% 5.00/4.57 tff(22285,plain,
% 5.00/4.57 (~node4(s106)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7626, 113, 22176])).
% 5.00/4.57 tff(22286,plain,
% 5.00/4.57 (xuntil6(s106) | (~until5(s106))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7633, 225, 22285])).
% 5.00/4.57 tff(22287,plain,
% 5.00/4.57 (xuntil6(s106)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22286, 22284])).
% 5.00/4.57 tff(22288,plain,
% 5.00/4.57 (until5(s107)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7639, 22287])).
% 5.00/4.57 tff(22289,plain,
% 5.00/4.57 (~node4(s107)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7643, 113, 22175])).
% 5.00/4.57 tff(22290,plain,
% 5.00/4.57 (xuntil6(s107) | (~until5(s107))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7650, 225, 22289])).
% 5.00/4.57 tff(22291,plain,
% 5.00/4.57 (xuntil6(s107)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22290, 22288])).
% 5.00/4.57 tff(22292,plain,
% 5.00/4.57 (until5(s108)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7656, 22291])).
% 5.00/4.57 tff(22293,plain,
% 5.00/4.57 (~node4(s108)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7660, 113, 22174])).
% 5.00/4.57 tff(22294,plain,
% 5.00/4.57 (xuntil6(s108) | (~until5(s108))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7667, 225, 22293])).
% 5.00/4.57 tff(22295,plain,
% 5.00/4.57 (xuntil6(s108)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22294, 22292])).
% 5.00/4.57 tff(22296,plain,
% 5.00/4.57 (until5(s109)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7673, 22295])).
% 5.00/4.57 tff(22297,plain,
% 5.00/4.57 (~node4(s109)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7677, 113, 22173])).
% 5.00/4.57 tff(22298,plain,
% 5.00/4.57 (xuntil6(s109) | (~until5(s109))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7684, 225, 22297])).
% 5.00/4.57 tff(22299,plain,
% 5.00/4.57 (xuntil6(s109)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22298, 22296])).
% 5.00/4.57 tff(22300,plain,
% 5.00/4.57 (until5(s110)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7690, 22299])).
% 5.00/4.57 tff(22301,plain,
% 5.00/4.57 (~node4(s110)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7694, 113, 22172])).
% 5.00/4.57 tff(22302,plain,
% 5.00/4.57 (xuntil6(s110) | (~until5(s110))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7701, 225, 22301])).
% 5.00/4.57 tff(22303,plain,
% 5.00/4.57 (xuntil6(s110)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22302, 22300])).
% 5.00/4.57 tff(22304,plain,
% 5.00/4.57 (until5(s111)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7707, 22303])).
% 5.00/4.57 tff(22305,plain,
% 5.00/4.57 (~node4(s111)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7711, 113, 22171])).
% 5.00/4.57 tff(22306,plain,
% 5.00/4.57 (xuntil6(s111) | (~until5(s111))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7718, 225, 22305])).
% 5.00/4.57 tff(22307,plain,
% 5.00/4.57 (xuntil6(s111)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22306, 22304])).
% 5.00/4.57 tff(22308,plain,
% 5.00/4.57 (until5(s112)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7724, 22307])).
% 5.00/4.57 tff(22309,plain,
% 5.00/4.57 (~node4(s112)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7728, 113, 22170])).
% 5.00/4.57 tff(22310,plain,
% 5.00/4.57 (xuntil6(s112) | (~until5(s112))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7735, 225, 22309])).
% 5.00/4.57 tff(22311,plain,
% 5.00/4.57 (xuntil6(s112)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22310, 22308])).
% 5.00/4.57 tff(22312,plain,
% 5.00/4.57 (until5(s113)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7741, 22311])).
% 5.00/4.57 tff(22313,plain,
% 5.00/4.57 (~node4(s113)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7745, 113, 22169])).
% 5.00/4.57 tff(22314,plain,
% 5.00/4.57 (xuntil6(s113) | (~until5(s113))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7752, 225, 22313])).
% 5.00/4.57 tff(22315,plain,
% 5.00/4.57 (xuntil6(s113)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22314, 22312])).
% 5.00/4.57 tff(22316,plain,
% 5.00/4.57 (until5(s114)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7758, 22315])).
% 5.00/4.57 tff(22317,plain,
% 5.00/4.57 (~node4(s114)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7762, 113, 22168])).
% 5.00/4.57 tff(22318,plain,
% 5.00/4.57 (xuntil6(s114) | (~until5(s114))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7769, 225, 22317])).
% 5.00/4.57 tff(22319,plain,
% 5.00/4.57 (xuntil6(s114)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22318, 22316])).
% 5.00/4.57 tff(22320,plain,
% 5.00/4.57 (until5(s115)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7775, 22319])).
% 5.00/4.57 tff(22321,plain,
% 5.00/4.57 (~node4(s115)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7779, 113, 22167])).
% 5.00/4.57 tff(22322,plain,
% 5.00/4.57 (xuntil6(s115) | (~until5(s115))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7786, 225, 22321])).
% 5.00/4.57 tff(22323,plain,
% 5.00/4.57 (xuntil6(s115)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22322, 22320])).
% 5.00/4.57 tff(22324,plain,
% 5.00/4.57 (until5(s116)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7792, 22323])).
% 5.00/4.57 tff(22325,plain,
% 5.00/4.57 (~node4(s116)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7796, 113, 22166])).
% 5.00/4.57 tff(22326,plain,
% 5.00/4.57 (xuntil6(s116) | (~until5(s116))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7803, 225, 22325])).
% 5.00/4.57 tff(22327,plain,
% 5.00/4.57 (xuntil6(s116)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22326, 22324])).
% 5.00/4.57 tff(22328,plain,
% 5.00/4.57 (until5(s117)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7809, 22327])).
% 5.00/4.57 tff(22329,plain,
% 5.00/4.57 (~node4(s117)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7813, 113, 22165])).
% 5.00/4.57 tff(22330,plain,
% 5.00/4.57 (xuntil6(s117) | (~until5(s117))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7820, 225, 22329])).
% 5.00/4.57 tff(22331,plain,
% 5.00/4.57 (xuntil6(s117)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22330, 22328])).
% 5.00/4.57 tff(22332,plain,
% 5.00/4.57 (until5(s118)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7826, 22331])).
% 5.00/4.57 tff(22333,plain,
% 5.00/4.57 (~node4(s118)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7830, 113, 22164])).
% 5.00/4.57 tff(22334,plain,
% 5.00/4.57 (xuntil6(s118) | (~until5(s118))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7837, 225, 22333])).
% 5.00/4.57 tff(22335,plain,
% 5.00/4.57 (xuntil6(s118)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22334, 22332])).
% 5.00/4.57 tff(22336,plain,
% 5.00/4.57 (until5(s119)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7843, 22335])).
% 5.00/4.57 tff(22337,plain,
% 5.00/4.57 (~node4(s119)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7847, 113, 22163])).
% 5.00/4.57 tff(22338,plain,
% 5.00/4.57 (xuntil6(s119) | (~until5(s119))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7854, 225, 22337])).
% 5.00/4.57 tff(22339,plain,
% 5.00/4.57 (xuntil6(s119)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22338, 22336])).
% 5.00/4.57 tff(22340,plain,
% 5.00/4.57 (until5(s120)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7860, 22339])).
% 5.00/4.57 tff(22341,plain,
% 5.00/4.57 (~node4(s120)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7864, 113, 22162])).
% 5.00/4.57 tff(22342,plain,
% 5.00/4.57 (xuntil6(s120) | (~until5(s120))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7871, 225, 22341])).
% 5.00/4.57 tff(22343,plain,
% 5.00/4.57 (xuntil6(s120)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22342, 22340])).
% 5.00/4.57 tff(22344,plain,
% 5.00/4.57 (until5(s121)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7877, 22343])).
% 5.00/4.57 tff(22345,plain,
% 5.00/4.57 (~node4(s121)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7881, 113, 22161])).
% 5.00/4.57 tff(22346,plain,
% 5.00/4.57 (xuntil6(s121) | (~until5(s121))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7888, 225, 22345])).
% 5.00/4.57 tff(22347,plain,
% 5.00/4.57 (xuntil6(s121)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22346, 22344])).
% 5.00/4.57 tff(22348,plain,
% 5.00/4.57 (until5(s122)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7894, 22347])).
% 5.00/4.57 tff(22349,plain,
% 5.00/4.57 (~node4(s122)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7898, 113, 22160])).
% 5.00/4.57 tff(22350,plain,
% 5.00/4.57 (xuntil6(s122) | (~until5(s122))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7905, 225, 22349])).
% 5.00/4.57 tff(22351,plain,
% 5.00/4.57 (xuntil6(s122)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22350, 22348])).
% 5.00/4.57 tff(22352,plain,
% 5.00/4.57 (until5(s123)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7911, 22351])).
% 5.00/4.57 tff(22353,plain,
% 5.00/4.57 (~node4(s123)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7915, 113, 22159])).
% 5.00/4.57 tff(22354,plain,
% 5.00/4.57 (xuntil6(s123) | (~until5(s123))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7922, 225, 22353])).
% 5.00/4.57 tff(22355,plain,
% 5.00/4.57 (xuntil6(s123)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22354, 22352])).
% 5.00/4.57 tff(22356,plain,
% 5.00/4.57 (until5(s124)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7928, 22355])).
% 5.00/4.57 tff(22357,plain,
% 5.00/4.57 (~node4(s124)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7932, 113, 22158])).
% 5.00/4.57 tff(22358,plain,
% 5.00/4.57 (xuntil6(s124) | (~until5(s124))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7939, 225, 22357])).
% 5.00/4.57 tff(22359,plain,
% 5.00/4.57 (xuntil6(s124)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22358, 22356])).
% 5.00/4.57 tff(22360,plain,
% 5.00/4.57 (until5(s125)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7945, 22359])).
% 5.00/4.57 tff(22361,plain,
% 5.00/4.57 (~node4(s125)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7949, 113, 22157])).
% 5.00/4.57 tff(22362,plain,
% 5.00/4.57 (xuntil6(s125) | (~until5(s125))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7956, 225, 22361])).
% 5.00/4.57 tff(22363,plain,
% 5.00/4.57 (xuntil6(s125)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22362, 22360])).
% 5.00/4.57 tff(22364,plain,
% 5.00/4.57 (until5(s126)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7962, 22363])).
% 5.00/4.57 tff(22365,plain,
% 5.00/4.57 (~node4(s126)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7966, 113, 22156])).
% 5.00/4.57 tff(22366,plain,
% 5.00/4.57 (xuntil6(s126) | (~until5(s126))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[7973, 225, 22365])).
% 5.00/4.57 tff(22367,plain,
% 5.00/4.57 ($false),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22366, 22364, 22155])).
% 5.00/4.57 tff(22368,plain,(always3(s163) | xuntil6(s163)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.57 tff(22369,plain,
% 5.00/4.57 (always3(s163)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22368, 22029])).
% 5.00/4.57 tff(22370,plain,
% 5.00/4.57 (always3(s164)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4106, 22369])).
% 5.00/4.57 tff(22371,plain,
% 5.00/4.57 (~m_main_v_state(s164, c_busy)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[8980, 145, 22370])).
% 5.00/4.57 tff(22372,assumption,(until5(s163)), introduced(assumption)).
% 5.00/4.57 tff(22373,plain,
% 5.00/4.57 (xuntil6(s163) | node4(s163)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4545, 225, 22372])).
% 5.00/4.57 tff(22374,plain,
% 5.00/4.57 (node4(s163)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22373, 22029])).
% 5.00/4.57 tff(22375,plain,
% 5.00/4.57 (((~![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)))),
% 5.00/4.57 inference(rewrite,[status(thm)],[])).
% 5.00/4.57 tff(22376,plain,
% 5.00/4.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s163) | (~node4(s163)))),
% 5.00/4.57 inference(quant_inst,[status(thm)],[])).
% 5.00/4.57 tff(22377,plain,
% 5.00/4.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s163) | (~node4(s163))),
% 5.00/4.57 inference(modus_ponens,[status(thm)],[22376, 22375])).
% 5.00/4.57 tff(22378,plain,
% 5.00/4.57 (m_main_v_request(s163)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22377, 63, 22374])).
% 5.00/4.57 tff(22379,plain,
% 5.00/4.57 (((~![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))),
% 5.00/4.57 inference(rewrite,[status(thm)],[])).
% 5.00/4.57 tff(22380,plain,
% 5.00/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s163, s164)) | node2(s163, s164))),
% 5.00/4.57 inference(quant_inst,[status(thm)],[])).
% 5.00/4.57 tff(22381,plain,
% 5.00/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s163, s164)) | node2(s163, s164)),
% 5.00/4.57 inference(modus_ponens,[status(thm)],[22380, 22379])).
% 5.00/4.57 tff(22382,plain,
% 5.00/4.57 (node2(s163, s164)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22381, 7, 4102])).
% 5.00/4.57 tff(22383,plain,
% 5.00/4.57 (((~![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(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)))),
% 5.00/4.57 inference(rewrite,[status(thm)],[])).
% 5.00/4.57 tff(22384,plain,
% 5.00/4.57 ((~![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(s163, c_ready)) | (~node2(s163, s164)) | m_main_v_state(s164, c_busy) | (~m_main_v_request(s163)))),
% 5.00/4.57 inference(quant_inst,[status(thm)],[])).
% 5.00/4.57 tff(22385,plain,
% 5.00/4.57 ((~![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(s163, c_ready)) | (~node2(s163, s164)) | m_main_v_state(s164, c_busy) | (~m_main_v_request(s163))),
% 5.00/4.57 inference(modus_ponens,[status(thm)],[22384, 22383])).
% 5.00/4.57 tff(22386,plain,
% 5.00/4.57 ((~m_main_v_state(s163, c_ready)) | m_main_v_state(s164, c_busy) | (~m_main_v_request(s163))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22385, 166, 22382])).
% 5.00/4.57 tff(22387,plain,
% 5.00/4.57 (~m_main_v_state(s163, c_ready)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22386, 22378, 22371])).
% 5.00/4.57 tff(22388,plain,
% 5.00/4.57 (~m_main_v_state(s163, c_busy)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4567, 145, 22369])).
% 5.00/4.57 tff(22389,plain,
% 5.00/4.57 (((~![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))),
% 5.00/4.57 inference(rewrite,[status(thm)],[])).
% 5.00/4.57 tff(22390,plain,
% 5.00/4.57 ((~![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))),
% 5.00/4.57 inference(quant_inst,[status(thm)],[])).
% 5.00/4.57 tff(22391,plain,
% 5.00/4.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s163, c_busy) | m_main_v_state(s163, c_ready)),
% 5.00/4.57 inference(modus_ponens,[status(thm)],[22390, 22389])).
% 5.00/4.57 tff(22392,plain,
% 5.00/4.57 ($false),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22391, 188, 22388, 22387])).
% 5.00/4.57 tff(22393,plain,(xuntil6(s163) | (~until5(s163))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.57 tff(22394,plain,
% 5.00/4.57 (xuntil6(s163)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22393, 22028])).
% 5.00/4.57 tff(22395,plain,
% 5.00/4.57 (until5(s164)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4538, 22394])).
% 5.00/4.57 tff(22396,plain,
% 5.00/4.57 (xuntil6(s164) | (~until5(s164))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4462, 225, 8986])).
% 5.00/4.57 tff(22397,plain,
% 5.00/4.57 (xuntil6(s164)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22396, 22395])).
% 5.00/4.57 tff(22398,plain,
% 5.00/4.57 (until5(s165)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4468, 22397])).
% 5.00/4.57 tff(22399,assumption,(until5(s165)), introduced(assumption)).
% 5.00/4.57 tff(22400,assumption,(~xuntil6(s167)), introduced(assumption)).
% 5.00/4.57 tff(22401,assumption,(~always3(s167)), introduced(assumption)).
% 5.00/4.57 tff(22402,plain,
% 5.00/4.57 (~node4(s167)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4501, 113, 22401])).
% 5.00/4.57 tff(22403,plain,
% 5.00/4.57 (node4(s167) | (~until5(s167))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4508, 225, 22400])).
% 5.00/4.57 tff(22404,plain,
% 5.00/4.57 (~until5(s167)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22403, 22402])).
% 5.00/4.57 tff(22405,plain,
% 5.00/4.57 (~xuntil6(s166)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4497, 22404])).
% 5.00/4.57 tff(22406,plain,
% 5.00/4.57 (~always3(s166)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4070, 22401])).
% 5.00/4.57 tff(22407,plain,
% 5.00/4.57 (~always3(s165)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4082, 22406])).
% 5.00/4.57 tff(22408,plain,
% 5.00/4.57 (~node4(s165)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4449, 113, 22407])).
% 5.00/4.57 tff(22409,plain,
% 5.00/4.57 (xuntil6(s165) | node4(s165)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4475, 225, 22399])).
% 5.00/4.57 tff(22410,plain,
% 5.00/4.57 (xuntil6(s165)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22409, 22408])).
% 5.00/4.57 tff(22411,plain,
% 5.00/4.57 (until5(s166)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4480, 22410])).
% 5.00/4.57 tff(22412,plain,
% 5.00/4.57 (xuntil6(s166) | (~until5(s166))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4491, 225, 8908])).
% 5.00/4.57 tff(22413,plain,
% 5.00/4.57 ($false),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22412, 22411, 22405])).
% 5.00/4.57 tff(22414,plain,(always3(s167) | (~until5(s165)) | xuntil6(s167)), inference(lemma,lemma(discharge,[]))).
% 5.00/4.57 tff(22415,plain,
% 5.00/4.57 (always3(s167)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22414, 22400, 22399])).
% 5.00/4.57 tff(22416,plain,
% 5.00/4.57 (always3(s168)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4058, 22415])).
% 5.00/4.57 tff(22417,plain,
% 5.00/4.57 (~m_main_v_state(s168, c_busy)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[8844, 145, 22416])).
% 5.00/4.57 tff(22418,plain,
% 5.00/4.57 (xuntil6(s165) | (~until5(s165))),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4475, 225, 8947])).
% 5.00/4.57 tff(22419,plain,
% 5.00/4.57 (xuntil6(s165)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22418, 22399])).
% 5.00/4.57 tff(22420,plain,
% 5.00/4.57 (until5(s166)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[4480, 22419])).
% 5.00/4.57 tff(22421,plain,
% 5.00/4.57 (xuntil6(s166)),
% 5.00/4.57 inference(unit_resolution,[status(thm)],[22412, 22420])).
% 5.00/4.57 tff(22422,plain,
% 5.00/4.58 (until5(s167)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4497, 22421])).
% 5.00/4.58 tff(22423,plain,
% 5.00/4.58 (xuntil6(s167) | node4(s167)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4508, 225, 22422])).
% 5.00/4.58 tff(22424,plain,
% 5.00/4.58 (node4(s167)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[22423, 22400])).
% 5.00/4.58 tff(22425,plain,
% 5.00/4.58 (((~![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)))),
% 5.00/4.58 inference(rewrite,[status(thm)],[])).
% 5.00/4.58 tff(22426,plain,
% 5.00/4.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s167) | (~node4(s167)))),
% 5.00/4.58 inference(quant_inst,[status(thm)],[])).
% 5.00/4.58 tff(22427,plain,
% 5.00/4.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s167) | (~node4(s167))),
% 5.00/4.58 inference(modus_ponens,[status(thm)],[22426, 22425])).
% 5.00/4.58 tff(22428,plain,
% 5.00/4.58 (m_main_v_request(s167)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[22427, 63, 22424])).
% 5.00/4.58 tff(22429,plain,
% 5.00/4.58 (((~![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))),
% 5.00/4.58 inference(rewrite,[status(thm)],[])).
% 5.00/4.58 tff(22430,plain,
% 5.00/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s167, s168)) | node2(s167, s168))),
% 5.00/4.58 inference(quant_inst,[status(thm)],[])).
% 5.00/4.58 tff(22431,plain,
% 5.00/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s167, s168)) | node2(s167, s168)),
% 5.00/4.58 inference(modus_ponens,[status(thm)],[22430, 22429])).
% 5.00/4.58 tff(22432,plain,
% 5.00/4.58 (node2(s167, s168)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[22431, 7, 4054])).
% 5.00/4.58 tff(22433,plain,
% 5.00/4.58 (((~![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(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)))),
% 5.00/4.58 inference(rewrite,[status(thm)],[])).
% 5.00/4.58 tff(22434,plain,
% 5.00/4.58 ((~![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(s167, c_ready)) | (~node2(s167, s168)) | m_main_v_state(s168, c_busy) | (~m_main_v_request(s167)))),
% 5.00/4.58 inference(quant_inst,[status(thm)],[])).
% 5.00/4.58 tff(22435,plain,
% 5.00/4.58 ((~![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(s167, c_ready)) | (~node2(s167, s168)) | m_main_v_state(s168, c_busy) | (~m_main_v_request(s167))),
% 5.00/4.58 inference(modus_ponens,[status(thm)],[22434, 22433])).
% 5.00/4.58 tff(22436,plain,
% 5.00/4.58 ((~m_main_v_state(s167, c_ready)) | m_main_v_state(s168, c_busy) | (~m_main_v_request(s167))),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[22435, 166, 22432])).
% 5.00/4.58 tff(22437,plain,
% 5.00/4.58 (~m_main_v_state(s167, c_ready)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[22436, 22428, 22417])).
% 5.00/4.58 tff(22438,plain,
% 5.00/4.58 (((~![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))),
% 5.00/4.58 inference(rewrite,[status(thm)],[])).
% 5.00/4.58 tff(22439,plain,
% 5.00/4.58 ((~![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))),
% 5.00/4.58 inference(quant_inst,[status(thm)],[])).
% 5.00/4.58 tff(22440,plain,
% 5.00/4.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s167, c_busy) | m_main_v_state(s167, c_ready)),
% 5.00/4.58 inference(modus_ponens,[status(thm)],[22439, 22438])).
% 5.00/4.58 tff(22441,plain,
% 5.00/4.58 (m_main_v_state(s167, c_busy)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[22440, 188, 22437])).
% 5.00/4.58 tff(22442,plain,
% 5.00/4.58 ($false),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[8886, 145, 22415, 22441])).
% 5.00/4.58 tff(22443,plain,(xuntil6(s167) | (~until5(s165))), inference(lemma,lemma(discharge,[]))).
% 5.00/4.58 tff(22444,plain,
% 5.00/4.58 (xuntil6(s167)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[22443, 22398])).
% 5.00/4.58 tff(22445,plain,
% 5.00/4.58 (until5(s168)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4514, 22444])).
% 5.00/4.58 tff(22446,plain,
% 5.00/4.58 (xuntil6(s168) | (~until5(s168))),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4525, 225, 8850])).
% 5.00/4.58 tff(22447,plain,
% 5.00/4.58 (xuntil6(s168)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[22446, 22445])).
% 5.00/4.58 tff(22448,plain,
% 5.00/4.58 (until5(s169)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4531, 22447])).
% 5.00/4.58 tff(22449,assumption,(~always3(s169)), introduced(assumption)).
% 5.00/4.58 tff(22450,plain,
% 5.00/4.58 (~always3(s168)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4046, 22449])).
% 5.00/4.58 tff(22451,plain,
% 5.00/4.58 (~always3(s167)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4058, 22450])).
% 5.00/4.58 tff(22452,plain,
% 5.00/4.58 (~always3(s166)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4070, 22451])).
% 5.00/4.58 tff(22453,plain,
% 5.00/4.58 (~always3(s165)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4082, 22452])).
% 5.00/4.58 tff(22454,plain,
% 5.00/4.58 (~always3(s164)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4094, 22453])).
% 5.00/4.58 tff(22455,plain,
% 5.00/4.58 (~always3(s163)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4106, 22454])).
% 5.00/4.58 tff(22456,plain,
% 5.00/4.58 (~always3(s162)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4118, 22455])).
% 5.00/4.58 tff(22457,plain,
% 5.00/4.58 (~always3(s161)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4130, 22456])).
% 5.00/4.58 tff(22458,plain,
% 5.00/4.58 (~always3(s160)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4142, 22457])).
% 5.00/4.58 tff(22459,plain,
% 5.00/4.58 (~always3(s159)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4154, 22458])).
% 5.00/4.58 tff(22460,plain,
% 5.00/4.58 (~always3(s158)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4166, 22459])).
% 5.00/4.58 tff(22461,plain,
% 5.00/4.58 (~always3(s157)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4178, 22460])).
% 5.00/4.58 tff(22462,plain,
% 5.00/4.58 (~always3(s156)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4190, 22461])).
% 5.00/4.58 tff(22463,plain,
% 5.00/4.58 (~always3(s155)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4202, 22462])).
% 5.00/4.58 tff(22464,plain,
% 5.00/4.58 (~always3(s154)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4214, 22463])).
% 5.00/4.58 tff(22465,plain,
% 5.00/4.58 (~always3(s153)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4226, 22464])).
% 5.00/4.58 tff(22466,plain,
% 5.00/4.58 (~always3(s152)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4238, 22465])).
% 5.00/4.58 tff(22467,plain,
% 5.00/4.58 (~always3(s151)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4250, 22466])).
% 5.00/4.58 tff(22468,plain,
% 5.00/4.58 (~always3(s150)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4262, 22467])).
% 5.00/4.58 tff(22469,plain,
% 5.00/4.58 (~always3(s149)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4274, 22468])).
% 5.00/4.58 tff(22470,plain,
% 5.00/4.58 (~always3(s148)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4286, 22469])).
% 5.00/4.58 tff(22471,plain,
% 5.00/4.58 (~always3(s147)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4298, 22470])).
% 5.00/4.58 tff(22472,plain,
% 5.00/4.58 (~always3(s146)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4310, 22471])).
% 5.00/4.58 tff(22473,plain,
% 5.00/4.58 (~always3(s145)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4322, 22472])).
% 5.00/4.58 tff(22474,plain,
% 5.00/4.58 (~always3(s144)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4334, 22473])).
% 5.00/4.58 tff(22475,plain,
% 5.00/4.58 (~always3(s143)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[4968, 22474])).
% 5.00/4.58 tff(22476,plain,
% 5.00/4.58 (~always3(s142)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5006, 22475])).
% 5.00/4.58 tff(22477,plain,
% 5.00/4.58 (~always3(s141)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5035, 22476])).
% 5.00/4.58 tff(22478,plain,
% 5.00/4.58 (~always3(s140)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5064, 22477])).
% 5.00/4.58 tff(22479,plain,
% 5.00/4.58 (~always3(s139)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5093, 22478])).
% 5.00/4.58 tff(22480,plain,
% 5.00/4.58 (~always3(s138)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5122, 22479])).
% 5.00/4.58 tff(22481,plain,
% 5.00/4.58 (~always3(s137)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5151, 22480])).
% 5.00/4.58 tff(22482,plain,
% 5.00/4.58 (~always3(s136)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5180, 22481])).
% 5.00/4.58 tff(22483,plain,
% 5.00/4.58 (~always3(s135)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5209, 22482])).
% 5.00/4.58 tff(22484,plain,
% 5.00/4.58 (~always3(s134)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5238, 22483])).
% 5.00/4.58 tff(22485,plain,
% 5.00/4.58 (~always3(s133)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5267, 22484])).
% 5.00/4.58 tff(22486,plain,
% 5.00/4.58 (~always3(s132)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5296, 22485])).
% 5.00/4.58 tff(22487,plain,
% 5.00/4.58 (~always3(s131)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5325, 22486])).
% 5.00/4.58 tff(22488,plain,
% 5.00/4.58 (~always3(s130)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5354, 22487])).
% 5.00/4.58 tff(22489,plain,
% 5.00/4.58 (~always3(s129)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5383, 22488])).
% 5.00/4.58 tff(22490,plain,
% 5.00/4.58 (~always3(s128)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5412, 22489])).
% 5.00/4.58 tff(22491,plain,
% 5.00/4.58 (~always3(s127)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5436, 22490])).
% 5.00/4.58 tff(22492,plain,
% 5.00/4.58 (~always3(s126)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5448, 22491])).
% 5.00/4.58 tff(22493,plain,
% 5.00/4.58 (~always3(s125)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5460, 22492])).
% 5.00/4.58 tff(22494,plain,
% 5.00/4.58 (~always3(s124)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5472, 22493])).
% 5.00/4.58 tff(22495,plain,
% 5.00/4.58 (~always3(s123)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5484, 22494])).
% 5.00/4.58 tff(22496,plain,
% 5.00/4.58 (~always3(s122)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5496, 22495])).
% 5.00/4.58 tff(22497,plain,
% 5.00/4.58 (~always3(s121)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5508, 22496])).
% 5.00/4.58 tff(22498,plain,
% 5.00/4.58 (~always3(s120)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5520, 22497])).
% 5.00/4.58 tff(22499,plain,
% 5.00/4.58 (~always3(s119)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5532, 22498])).
% 5.00/4.58 tff(22500,plain,
% 5.00/4.58 (~always3(s118)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5544, 22499])).
% 5.00/4.58 tff(22501,plain,
% 5.00/4.58 (~always3(s117)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5556, 22500])).
% 5.00/4.58 tff(22502,plain,
% 5.00/4.58 (~always3(s116)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5568, 22501])).
% 5.00/4.58 tff(22503,plain,
% 5.00/4.58 (~always3(s115)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5580, 22502])).
% 5.00/4.58 tff(22504,plain,
% 5.00/4.58 (~always3(s114)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5592, 22503])).
% 5.00/4.58 tff(22505,plain,
% 5.00/4.58 (~always3(s113)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5604, 22504])).
% 5.00/4.58 tff(22506,plain,
% 5.00/4.58 (~always3(s112)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5616, 22505])).
% 5.00/4.58 tff(22507,plain,
% 5.00/4.58 (~always3(s111)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5628, 22506])).
% 5.00/4.58 tff(22508,plain,
% 5.00/4.58 (~always3(s110)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5640, 22507])).
% 5.00/4.58 tff(22509,plain,
% 5.00/4.58 (~always3(s109)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5652, 22508])).
% 5.00/4.58 tff(22510,plain,
% 5.00/4.58 (~always3(s108)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5664, 22509])).
% 5.00/4.58 tff(22511,plain,
% 5.00/4.58 (~always3(s107)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5676, 22510])).
% 5.00/4.58 tff(22512,plain,
% 5.00/4.58 (~always3(s106)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5688, 22511])).
% 5.00/4.58 tff(22513,plain,
% 5.00/4.58 (~always3(s105)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5700, 22512])).
% 5.00/4.58 tff(22514,plain,
% 5.00/4.58 (~always3(s104)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5712, 22513])).
% 5.00/4.58 tff(22515,plain,
% 5.00/4.58 (~node4(s104)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5716, 113, 22514])).
% 5.00/4.58 tff(22516,plain,
% 5.00/4.58 (~always3(s103)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5728, 22514])).
% 5.00/4.58 tff(22517,plain,
% 5.00/4.58 (~always3(s102)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5740, 22516])).
% 5.00/4.58 tff(22518,plain,
% 5.00/4.58 (~always3(s101)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5752, 22517])).
% 5.00/4.58 tff(22519,plain,
% 5.00/4.58 (~always3(s100)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5764, 22518])).
% 5.00/4.58 tff(22520,plain,
% 5.00/4.58 (~always3(s99)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5776, 22519])).
% 5.00/4.58 tff(22521,plain,
% 5.00/4.58 (~always3(s98)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5788, 22520])).
% 5.00/4.58 tff(22522,plain,
% 5.00/4.58 (~always3(s97)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5800, 22521])).
% 5.00/4.58 tff(22523,plain,
% 5.00/4.58 (~always3(s96)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5812, 22522])).
% 5.00/4.58 tff(22524,plain,
% 5.00/4.58 (~always3(s95)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5824, 22523])).
% 5.00/4.58 tff(22525,plain,
% 5.00/4.58 (~always3(s94)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5836, 22524])).
% 5.00/4.58 tff(22526,plain,
% 5.00/4.58 (~always3(s93)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5848, 22525])).
% 5.00/4.58 tff(22527,plain,
% 5.00/4.58 (~always3(s92)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5860, 22526])).
% 5.00/4.58 tff(22528,plain,
% 5.00/4.58 (~always3(s91)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5872, 22527])).
% 5.00/4.58 tff(22529,plain,
% 5.00/4.58 (~always3(s90)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5884, 22528])).
% 5.00/4.58 tff(22530,plain,
% 5.00/4.58 (~always3(s89)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5896, 22529])).
% 5.00/4.58 tff(22531,plain,
% 5.00/4.58 (~always3(s88)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5908, 22530])).
% 5.00/4.58 tff(22532,plain,
% 5.00/4.58 (~always3(s87)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5920, 22531])).
% 5.00/4.58 tff(22533,plain,
% 5.00/4.58 (~always3(s86)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5932, 22532])).
% 5.00/4.58 tff(22534,plain,
% 5.00/4.58 (~always3(s85)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5944, 22533])).
% 5.00/4.58 tff(22535,plain,
% 5.00/4.58 (~always3(s84)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5956, 22534])).
% 5.00/4.58 tff(22536,plain,
% 5.00/4.58 (~always3(s83)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5968, 22535])).
% 5.00/4.58 tff(22537,plain,
% 5.00/4.58 (~always3(s82)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5980, 22536])).
% 5.00/4.58 tff(22538,plain,
% 5.00/4.58 (~always3(s81)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[5992, 22537])).
% 5.00/4.58 tff(22539,plain,
% 5.00/4.58 (~always3(s80)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[6004, 22538])).
% 5.00/4.58 tff(22540,plain,
% 5.00/4.58 (~always3(s79)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[6016, 22539])).
% 5.00/4.58 tff(22541,plain,
% 5.00/4.58 (~always3(s78)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[6028, 22540])).
% 5.00/4.58 tff(22542,plain,
% 5.00/4.58 (~always3(s77)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[6040, 22541])).
% 5.00/4.58 tff(22543,plain,
% 5.00/4.58 (~always3(s76)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[6052, 22542])).
% 5.00/4.58 tff(22544,plain,
% 5.00/4.58 (~always3(s75)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[6064, 22543])).
% 5.00/4.58 tff(22545,plain,
% 5.00/4.58 (~always3(s74)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[6076, 22544])).
% 5.00/4.58 tff(22546,plain,
% 5.00/4.58 (~always3(s73)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[6088, 22545])).
% 5.00/4.58 tff(22547,plain,
% 5.00/4.58 (~always3(s72)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[6100, 22546])).
% 5.00/4.58 tff(22548,plain,
% 5.00/4.58 (~always3(s71)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[6112, 22547])).
% 5.00/4.58 tff(22549,plain,
% 5.00/4.58 (~always3(s70)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[6124, 22548])).
% 5.00/4.58 tff(22550,plain,
% 5.00/4.58 (~always3(s69)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[6136, 22549])).
% 5.00/4.58 tff(22551,plain,
% 5.00/4.58 (~always3(s68)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[6148, 22550])).
% 5.00/4.58 tff(22552,plain,
% 5.00/4.58 (~always3(s67)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[6160, 22551])).
% 5.00/4.58 tff(22553,plain,
% 5.00/4.58 (~always3(s66)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[6172, 22552])).
% 5.00/4.58 tff(22554,plain,
% 5.00/4.58 (~always3(s65)),
% 5.00/4.58 inference(unit_resolution,[status(thm)],[6184, 22553])).
% 5.00/4.58 tff(22555,plain,
% 5.10/4.58 (~always3(s64)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6196, 22554])).
% 5.10/4.58 tff(22556,plain,
% 5.10/4.58 (~always3(s63)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6208, 22555])).
% 5.10/4.58 tff(22557,plain,
% 5.10/4.58 (~always3(s62)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6220, 22556])).
% 5.10/4.58 tff(22558,plain,
% 5.10/4.58 (~always3(s61)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6232, 22557])).
% 5.10/4.58 tff(22559,plain,
% 5.10/4.58 (~always3(s60)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6244, 22558])).
% 5.10/4.58 tff(22560,plain,
% 5.10/4.58 (~always3(s59)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6256, 22559])).
% 5.10/4.58 tff(22561,plain,
% 5.10/4.58 (~always3(s58)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6268, 22560])).
% 5.10/4.58 tff(22562,plain,
% 5.10/4.58 (~always3(s57)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6280, 22561])).
% 5.10/4.58 tff(22563,plain,
% 5.10/4.58 (~always3(s56)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6292, 22562])).
% 5.10/4.58 tff(22564,plain,
% 5.10/4.58 (~always3(s55)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6304, 22563])).
% 5.10/4.58 tff(22565,plain,
% 5.10/4.58 (~always3(s54)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6316, 22564])).
% 5.10/4.58 tff(22566,plain,
% 5.10/4.58 (~always3(s53)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6328, 22565])).
% 5.10/4.58 tff(22567,plain,
% 5.10/4.58 (~always3(s52)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6340, 22566])).
% 5.10/4.58 tff(22568,plain,
% 5.10/4.58 (~always3(s51)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6352, 22567])).
% 5.10/4.58 tff(22569,plain,
% 5.10/4.58 (~always3(s50)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6364, 22568])).
% 5.10/4.58 tff(22570,plain,
% 5.10/4.58 (~always3(s49)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6376, 22569])).
% 5.10/4.58 tff(22571,plain,
% 5.10/4.58 (~always3(s48)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6388, 22570])).
% 5.10/4.58 tff(22572,plain,
% 5.10/4.58 (~always3(s47)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6400, 22571])).
% 5.10/4.58 tff(22573,plain,
% 5.10/4.58 (~always3(s46)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6412, 22572])).
% 5.10/4.58 tff(22574,plain,
% 5.10/4.58 (~always3(s45)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6424, 22573])).
% 5.10/4.58 tff(22575,plain,
% 5.10/4.58 (~always3(s44)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[6436, 22574])).
% 5.10/4.58 tff(22576,plain,
% 5.10/4.58 (~always3(s43)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[81, 22575])).
% 5.10/4.58 tff(22577,plain,
% 5.10/4.58 (~always3(s42)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[93, 22576])).
% 5.10/4.58 tff(22578,plain,
% 5.10/4.58 (~always3(s41)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[105, 22577])).
% 5.10/4.58 tff(22579,plain,
% 5.10/4.58 (~always3(s40)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[137, 22578])).
% 5.10/4.58 tff(22580,plain,
% 5.10/4.58 (~always3(s39)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[3143, 22579])).
% 5.10/4.58 tff(22581,plain,
% 5.10/4.58 (~always3(s38)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[2699, 22580])).
% 5.10/4.58 tff(22582,plain,
% 5.10/4.58 (~node4(s38)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[2678, 113, 22581])).
% 5.10/4.58 tff(22583,plain,
% 5.10/4.58 (~always3(s37)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[2375, 22581])).
% 5.10/4.58 tff(22584,plain,
% 5.10/4.58 (~always3(s36)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[2387, 22583])).
% 5.10/4.58 tff(22585,plain,
% 5.10/4.58 (~always3(s35)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[2399, 22584])).
% 5.10/4.58 tff(22586,plain,
% 5.10/4.58 (~always3(s34)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[2411, 22585])).
% 5.10/4.58 tff(22587,plain,
% 5.10/4.58 (~always3(s33)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[2423, 22586])).
% 5.10/4.58 tff(22588,plain,
% 5.10/4.58 (~always3(s32)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[2435, 22587])).
% 5.10/4.58 tff(22589,plain,
% 5.10/4.58 (~always3(s31)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[2447, 22588])).
% 5.10/4.58 tff(22590,plain,
% 5.10/4.58 (~always3(s30)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[2326, 22589])).
% 5.10/4.58 tff(22591,plain,
% 5.10/4.58 (~always3(s29)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[2229, 22590])).
% 5.10/4.58 tff(22592,plain,
% 5.10/4.58 (~always3(s28)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[2173, 22591])).
% 5.10/4.58 tff(22593,plain,
% 5.10/4.58 (~always3(s27)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[2081, 22592])).
% 5.10/4.58 tff(22594,plain,
% 5.10/4.58 (~always3(s26)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[1993, 22593])).
% 5.10/4.58 tff(22595,plain,
% 5.10/4.58 (~always3(s25)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[1873, 22594])).
% 5.10/4.58 tff(22596,plain,
% 5.10/4.58 (~always3(s24)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[1771, 22595])).
% 5.10/4.58 tff(22597,plain,
% 5.10/4.58 (~always3(s23)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[1816, 22596])).
% 5.10/4.58 tff(22598,plain,
% 5.10/4.58 (~always3(s22)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[1557, 22597])).
% 5.10/4.58 tff(22599,plain,
% 5.10/4.58 (~always3(s21)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[1306, 22598])).
% 5.10/4.58 tff(22600,plain,
% 5.10/4.58 (~always3(s20)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[1351, 22599])).
% 5.10/4.58 tff(22601,plain,
% 5.10/4.58 (~always3(s19)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[1363, 22600])).
% 5.10/4.58 tff(22602,plain,
% 5.10/4.58 (~always3(s18)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[1379, 22601])).
% 5.10/4.58 tff(22603,plain,
% 5.10/4.58 (~always3(s17)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[1395, 22602])).
% 5.10/4.58 tff(22604,plain,
% 5.10/4.58 (~always3(s16)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[1407, 22603])).
% 5.10/4.58 tff(22605,plain,
% 5.10/4.58 (~always3(s15)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[654, 22604])).
% 5.10/4.58 tff(22606,plain,
% 5.10/4.58 (xuntil6(s15)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[642, 22605])).
% 5.10/4.58 tff(22607,plain,
% 5.10/4.58 (until5(s16)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[1292, 22606])).
% 5.10/4.58 tff(22608,plain,
% 5.10/4.58 (xuntil6(s37)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[2661, 22607, 22583])).
% 5.10/4.58 tff(22609,plain,
% 5.10/4.58 (until5(s38)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[2666, 22608])).
% 5.10/4.58 tff(22610,plain,
% 5.10/4.58 (xuntil6(s38) | node4(s38)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[2673, 225, 22609])).
% 5.10/4.58 tff(22611,plain,
% 5.10/4.58 (xuntil6(s38)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22610, 22582])).
% 5.10/4.58 tff(22612,plain,
% 5.10/4.58 (until5(s39)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[3122, 22611])).
% 5.10/4.58 tff(22613,plain,
% 5.10/4.58 (xuntil6(s103)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7588, 22612, 22516])).
% 5.10/4.58 tff(22614,plain,
% 5.10/4.58 (until5(s104)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7593, 22613])).
% 5.10/4.58 tff(22615,plain,
% 5.10/4.58 (xuntil6(s104)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7600, 225, 22614, 22515])).
% 5.10/4.58 tff(22616,plain,
% 5.10/4.58 (until5(s105)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7605, 22615])).
% 5.10/4.58 tff(22617,plain,
% 5.10/4.58 (~node4(s105)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7609, 113, 22513])).
% 5.10/4.58 tff(22618,plain,
% 5.10/4.58 (xuntil6(s105) | (~until5(s105))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7616, 225, 22617])).
% 5.10/4.58 tff(22619,plain,
% 5.10/4.58 (xuntil6(s105)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22618, 22616])).
% 5.10/4.58 tff(22620,plain,
% 5.10/4.58 (until5(s106)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7622, 22619])).
% 5.10/4.58 tff(22621,plain,
% 5.10/4.58 (~node4(s106)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7626, 113, 22512])).
% 5.10/4.58 tff(22622,plain,
% 5.10/4.58 (xuntil6(s106) | (~until5(s106))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7633, 225, 22621])).
% 5.10/4.58 tff(22623,plain,
% 5.10/4.58 (xuntil6(s106)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22622, 22620])).
% 5.10/4.58 tff(22624,plain,
% 5.10/4.58 (until5(s107)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7639, 22623])).
% 5.10/4.58 tff(22625,plain,
% 5.10/4.58 (~node4(s107)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7643, 113, 22511])).
% 5.10/4.58 tff(22626,plain,
% 5.10/4.58 (xuntil6(s107) | (~until5(s107))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7650, 225, 22625])).
% 5.10/4.58 tff(22627,plain,
% 5.10/4.58 (xuntil6(s107)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22626, 22624])).
% 5.10/4.58 tff(22628,plain,
% 5.10/4.58 (until5(s108)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7656, 22627])).
% 5.10/4.58 tff(22629,plain,
% 5.10/4.58 (~node4(s108)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7660, 113, 22510])).
% 5.10/4.58 tff(22630,plain,
% 5.10/4.58 (xuntil6(s108) | (~until5(s108))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7667, 225, 22629])).
% 5.10/4.58 tff(22631,plain,
% 5.10/4.58 (xuntil6(s108)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22630, 22628])).
% 5.10/4.58 tff(22632,plain,
% 5.10/4.58 (until5(s109)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7673, 22631])).
% 5.10/4.58 tff(22633,plain,
% 5.10/4.58 (~node4(s109)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7677, 113, 22509])).
% 5.10/4.58 tff(22634,plain,
% 5.10/4.58 (xuntil6(s109) | (~until5(s109))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7684, 225, 22633])).
% 5.10/4.58 tff(22635,plain,
% 5.10/4.58 (xuntil6(s109)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22634, 22632])).
% 5.10/4.58 tff(22636,plain,
% 5.10/4.58 (until5(s110)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7690, 22635])).
% 5.10/4.58 tff(22637,plain,
% 5.10/4.58 (~node4(s110)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7694, 113, 22508])).
% 5.10/4.58 tff(22638,plain,
% 5.10/4.58 (xuntil6(s110) | (~until5(s110))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7701, 225, 22637])).
% 5.10/4.58 tff(22639,plain,
% 5.10/4.58 (xuntil6(s110)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22638, 22636])).
% 5.10/4.58 tff(22640,plain,
% 5.10/4.58 (until5(s111)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7707, 22639])).
% 5.10/4.58 tff(22641,plain,
% 5.10/4.58 (~node4(s111)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7711, 113, 22507])).
% 5.10/4.58 tff(22642,plain,
% 5.10/4.58 (xuntil6(s111) | (~until5(s111))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7718, 225, 22641])).
% 5.10/4.58 tff(22643,plain,
% 5.10/4.58 (xuntil6(s111)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22642, 22640])).
% 5.10/4.58 tff(22644,plain,
% 5.10/4.58 (until5(s112)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7724, 22643])).
% 5.10/4.58 tff(22645,plain,
% 5.10/4.58 (~node4(s112)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7728, 113, 22506])).
% 5.10/4.58 tff(22646,plain,
% 5.10/4.58 (xuntil6(s112) | (~until5(s112))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7735, 225, 22645])).
% 5.10/4.58 tff(22647,plain,
% 5.10/4.58 (xuntil6(s112)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22646, 22644])).
% 5.10/4.58 tff(22648,plain,
% 5.10/4.58 (until5(s113)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7741, 22647])).
% 5.10/4.58 tff(22649,plain,
% 5.10/4.58 (~node4(s113)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7745, 113, 22505])).
% 5.10/4.58 tff(22650,plain,
% 5.10/4.58 (xuntil6(s113) | (~until5(s113))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7752, 225, 22649])).
% 5.10/4.58 tff(22651,plain,
% 5.10/4.58 (xuntil6(s113)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22650, 22648])).
% 5.10/4.58 tff(22652,plain,
% 5.10/4.58 (until5(s114)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7758, 22651])).
% 5.10/4.58 tff(22653,plain,
% 5.10/4.58 (~node4(s114)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7762, 113, 22504])).
% 5.10/4.58 tff(22654,plain,
% 5.10/4.58 (xuntil6(s114) | (~until5(s114))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7769, 225, 22653])).
% 5.10/4.58 tff(22655,plain,
% 5.10/4.58 (xuntil6(s114)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22654, 22652])).
% 5.10/4.58 tff(22656,plain,
% 5.10/4.58 (until5(s115)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7775, 22655])).
% 5.10/4.58 tff(22657,plain,
% 5.10/4.58 (~node4(s115)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7779, 113, 22503])).
% 5.10/4.58 tff(22658,plain,
% 5.10/4.58 (xuntil6(s115) | (~until5(s115))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7786, 225, 22657])).
% 5.10/4.58 tff(22659,plain,
% 5.10/4.58 (xuntil6(s115)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22658, 22656])).
% 5.10/4.58 tff(22660,plain,
% 5.10/4.58 (until5(s116)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7792, 22659])).
% 5.10/4.58 tff(22661,plain,
% 5.10/4.58 (~node4(s116)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7796, 113, 22502])).
% 5.10/4.58 tff(22662,plain,
% 5.10/4.58 (xuntil6(s116) | (~until5(s116))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7803, 225, 22661])).
% 5.10/4.58 tff(22663,plain,
% 5.10/4.58 (xuntil6(s116)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22662, 22660])).
% 5.10/4.58 tff(22664,plain,
% 5.10/4.58 (until5(s117)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7809, 22663])).
% 5.10/4.58 tff(22665,plain,
% 5.10/4.58 (~node4(s117)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7813, 113, 22501])).
% 5.10/4.58 tff(22666,plain,
% 5.10/4.58 (xuntil6(s117) | (~until5(s117))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7820, 225, 22665])).
% 5.10/4.58 tff(22667,plain,
% 5.10/4.58 (xuntil6(s117)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22666, 22664])).
% 5.10/4.58 tff(22668,plain,
% 5.10/4.58 (until5(s118)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7826, 22667])).
% 5.10/4.58 tff(22669,plain,
% 5.10/4.58 (~node4(s118)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7830, 113, 22500])).
% 5.10/4.58 tff(22670,plain,
% 5.10/4.58 (xuntil6(s118) | (~until5(s118))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7837, 225, 22669])).
% 5.10/4.58 tff(22671,plain,
% 5.10/4.58 (xuntil6(s118)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22670, 22668])).
% 5.10/4.58 tff(22672,plain,
% 5.10/4.58 (until5(s119)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7843, 22671])).
% 5.10/4.58 tff(22673,plain,
% 5.10/4.58 (~node4(s119)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7847, 113, 22499])).
% 5.10/4.58 tff(22674,plain,
% 5.10/4.58 (xuntil6(s119) | (~until5(s119))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7854, 225, 22673])).
% 5.10/4.58 tff(22675,plain,
% 5.10/4.58 (xuntil6(s119)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22674, 22672])).
% 5.10/4.58 tff(22676,plain,
% 5.10/4.58 (until5(s120)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7860, 22675])).
% 5.10/4.58 tff(22677,plain,
% 5.10/4.58 (~node4(s120)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7864, 113, 22498])).
% 5.10/4.58 tff(22678,plain,
% 5.10/4.58 (xuntil6(s120) | (~until5(s120))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7871, 225, 22677])).
% 5.10/4.58 tff(22679,plain,
% 5.10/4.58 (xuntil6(s120)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22678, 22676])).
% 5.10/4.58 tff(22680,plain,
% 5.10/4.58 (until5(s121)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7877, 22679])).
% 5.10/4.58 tff(22681,plain,
% 5.10/4.58 (~node4(s121)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7881, 113, 22497])).
% 5.10/4.58 tff(22682,plain,
% 5.10/4.58 (xuntil6(s121) | (~until5(s121))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7888, 225, 22681])).
% 5.10/4.58 tff(22683,plain,
% 5.10/4.58 (xuntil6(s121)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22682, 22680])).
% 5.10/4.58 tff(22684,plain,
% 5.10/4.58 (until5(s122)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7894, 22683])).
% 5.10/4.58 tff(22685,plain,
% 5.10/4.58 (~node4(s122)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7898, 113, 22496])).
% 5.10/4.58 tff(22686,plain,
% 5.10/4.58 (xuntil6(s122) | (~until5(s122))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7905, 225, 22685])).
% 5.10/4.58 tff(22687,plain,
% 5.10/4.58 (xuntil6(s122)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22686, 22684])).
% 5.10/4.58 tff(22688,plain,
% 5.10/4.58 (until5(s123)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7911, 22687])).
% 5.10/4.58 tff(22689,plain,
% 5.10/4.58 (~node4(s123)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7915, 113, 22495])).
% 5.10/4.58 tff(22690,plain,
% 5.10/4.58 (xuntil6(s123) | (~until5(s123))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7922, 225, 22689])).
% 5.10/4.58 tff(22691,plain,
% 5.10/4.58 (xuntil6(s123)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22690, 22688])).
% 5.10/4.58 tff(22692,plain,
% 5.10/4.58 (until5(s124)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7928, 22691])).
% 5.10/4.58 tff(22693,plain,
% 5.10/4.58 (~node4(s124)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7932, 113, 22494])).
% 5.10/4.58 tff(22694,plain,
% 5.10/4.58 (xuntil6(s124) | (~until5(s124))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7939, 225, 22693])).
% 5.10/4.58 tff(22695,plain,
% 5.10/4.58 (xuntil6(s124)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22694, 22692])).
% 5.10/4.58 tff(22696,plain,
% 5.10/4.58 (until5(s125)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7945, 22695])).
% 5.10/4.58 tff(22697,plain,
% 5.10/4.58 (~node4(s125)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7949, 113, 22493])).
% 5.10/4.58 tff(22698,plain,
% 5.10/4.58 (xuntil6(s125) | (~until5(s125))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7956, 225, 22697])).
% 5.10/4.58 tff(22699,plain,
% 5.10/4.58 (xuntil6(s125)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22698, 22696])).
% 5.10/4.58 tff(22700,plain,
% 5.10/4.58 (until5(s126)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7962, 22699])).
% 5.10/4.58 tff(22701,plain,
% 5.10/4.58 (~node4(s126)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7966, 113, 22492])).
% 5.10/4.58 tff(22702,plain,
% 5.10/4.58 (xuntil6(s126) | (~until5(s126))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7973, 225, 22701])).
% 5.10/4.58 tff(22703,plain,
% 5.10/4.58 (xuntil6(s126)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22702, 22700])).
% 5.10/4.58 tff(22704,plain,
% 5.10/4.58 (until5(s127)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7979, 22703])).
% 5.10/4.58 tff(22705,plain,
% 5.10/4.58 (~node4(s127)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7983, 113, 22491])).
% 5.10/4.58 tff(22706,plain,
% 5.10/4.58 (xuntil6(s127) | (~until5(s127))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7990, 225, 22705])).
% 5.10/4.58 tff(22707,plain,
% 5.10/4.58 (xuntil6(s127)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22706, 22704])).
% 5.10/4.58 tff(22708,plain,
% 5.10/4.58 (until5(s128)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[7996, 22707])).
% 5.10/4.58 tff(22709,plain,
% 5.10/4.58 (~node4(s128)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5416, 113, 22490])).
% 5.10/4.58 tff(22710,plain,
% 5.10/4.58 (xuntil6(s128) | (~until5(s128))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5423, 225, 22709])).
% 5.10/4.58 tff(22711,plain,
% 5.10/4.58 (xuntil6(s128)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22710, 22708])).
% 5.10/4.58 tff(22712,plain,
% 5.10/4.58 (until5(s129)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5403, 22711])).
% 5.10/4.58 tff(22713,plain,
% 5.10/4.58 (~node4(s129)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5387, 113, 22489])).
% 5.10/4.58 tff(22714,plain,
% 5.10/4.58 (xuntil6(s129) | (~until5(s129))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5394, 225, 22713])).
% 5.10/4.58 tff(22715,plain,
% 5.10/4.58 (xuntil6(s129)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22714, 22712])).
% 5.10/4.58 tff(22716,plain,
% 5.10/4.58 (until5(s130)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5374, 22715])).
% 5.10/4.58 tff(22717,plain,
% 5.10/4.58 (~node4(s130)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5358, 113, 22488])).
% 5.10/4.58 tff(22718,plain,
% 5.10/4.58 (xuntil6(s130) | (~until5(s130))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5365, 225, 22717])).
% 5.10/4.58 tff(22719,plain,
% 5.10/4.58 (xuntil6(s130)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22718, 22716])).
% 5.10/4.58 tff(22720,plain,
% 5.10/4.58 (until5(s131)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5345, 22719])).
% 5.10/4.58 tff(22721,plain,
% 5.10/4.58 (~node4(s131)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5329, 113, 22487])).
% 5.10/4.58 tff(22722,plain,
% 5.10/4.58 (xuntil6(s131) | (~until5(s131))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5336, 225, 22721])).
% 5.10/4.58 tff(22723,plain,
% 5.10/4.58 (xuntil6(s131)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22722, 22720])).
% 5.10/4.58 tff(22724,plain,
% 5.10/4.58 (until5(s132)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5316, 22723])).
% 5.10/4.58 tff(22725,plain,
% 5.10/4.58 (~node4(s132)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5300, 113, 22486])).
% 5.10/4.58 tff(22726,plain,
% 5.10/4.58 (xuntil6(s132) | (~until5(s132))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5307, 225, 22725])).
% 5.10/4.58 tff(22727,plain,
% 5.10/4.58 (xuntil6(s132)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22726, 22724])).
% 5.10/4.58 tff(22728,plain,
% 5.10/4.58 (until5(s133)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5287, 22727])).
% 5.10/4.58 tff(22729,plain,
% 5.10/4.58 (~node4(s133)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5271, 113, 22485])).
% 5.10/4.58 tff(22730,plain,
% 5.10/4.58 (xuntil6(s133) | (~until5(s133))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5278, 225, 22729])).
% 5.10/4.58 tff(22731,plain,
% 5.10/4.58 (xuntil6(s133)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22730, 22728])).
% 5.10/4.58 tff(22732,plain,
% 5.10/4.58 (until5(s134)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5258, 22731])).
% 5.10/4.58 tff(22733,plain,
% 5.10/4.58 (~node4(s134)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5242, 113, 22484])).
% 5.10/4.58 tff(22734,plain,
% 5.10/4.58 (xuntil6(s134) | (~until5(s134))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5249, 225, 22733])).
% 5.10/4.58 tff(22735,plain,
% 5.10/4.58 (xuntil6(s134)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22734, 22732])).
% 5.10/4.58 tff(22736,plain,
% 5.10/4.58 (until5(s135)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5229, 22735])).
% 5.10/4.58 tff(22737,plain,
% 5.10/4.58 (~node4(s135)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5213, 113, 22483])).
% 5.10/4.58 tff(22738,plain,
% 5.10/4.58 (xuntil6(s135) | (~until5(s135))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5220, 225, 22737])).
% 5.10/4.58 tff(22739,plain,
% 5.10/4.58 (xuntil6(s135)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22738, 22736])).
% 5.10/4.58 tff(22740,plain,
% 5.10/4.58 (until5(s136)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5200, 22739])).
% 5.10/4.58 tff(22741,plain,
% 5.10/4.58 (~node4(s136)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5184, 113, 22482])).
% 5.10/4.58 tff(22742,plain,
% 5.10/4.58 (xuntil6(s136) | (~until5(s136))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5191, 225, 22741])).
% 5.10/4.58 tff(22743,plain,
% 5.10/4.58 (xuntil6(s136)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22742, 22740])).
% 5.10/4.58 tff(22744,plain,
% 5.10/4.58 (until5(s137)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5171, 22743])).
% 5.10/4.58 tff(22745,plain,
% 5.10/4.58 (~node4(s137)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5155, 113, 22481])).
% 5.10/4.58 tff(22746,plain,
% 5.10/4.58 (xuntil6(s137) | (~until5(s137))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5162, 225, 22745])).
% 5.10/4.58 tff(22747,plain,
% 5.10/4.58 (xuntil6(s137)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22746, 22744])).
% 5.10/4.58 tff(22748,plain,
% 5.10/4.58 (until5(s138)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5142, 22747])).
% 5.10/4.58 tff(22749,plain,
% 5.10/4.58 (~node4(s138)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5126, 113, 22480])).
% 5.10/4.58 tff(22750,plain,
% 5.10/4.58 (xuntil6(s138) | (~until5(s138))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5133, 225, 22749])).
% 5.10/4.58 tff(22751,plain,
% 5.10/4.58 (xuntil6(s138)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22750, 22748])).
% 5.10/4.58 tff(22752,plain,
% 5.10/4.58 (until5(s139)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5113, 22751])).
% 5.10/4.58 tff(22753,plain,
% 5.10/4.58 (~node4(s139)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5097, 113, 22479])).
% 5.10/4.58 tff(22754,plain,
% 5.10/4.58 (xuntil6(s139) | (~until5(s139))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5104, 225, 22753])).
% 5.10/4.58 tff(22755,plain,
% 5.10/4.58 (xuntil6(s139)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22754, 22752])).
% 5.10/4.58 tff(22756,plain,
% 5.10/4.58 (until5(s140)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5084, 22755])).
% 5.10/4.58 tff(22757,plain,
% 5.10/4.58 (~node4(s140)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5068, 113, 22478])).
% 5.10/4.58 tff(22758,plain,
% 5.10/4.58 (xuntil6(s140) | (~until5(s140))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5075, 225, 22757])).
% 5.10/4.58 tff(22759,plain,
% 5.10/4.58 (xuntil6(s140)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22758, 22756])).
% 5.10/4.58 tff(22760,plain,
% 5.10/4.58 (until5(s141)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5055, 22759])).
% 5.10/4.58 tff(22761,plain,
% 5.10/4.58 (~node4(s141)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5039, 113, 22477])).
% 5.10/4.58 tff(22762,plain,
% 5.10/4.58 (xuntil6(s141) | (~until5(s141))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5046, 225, 22761])).
% 5.10/4.58 tff(22763,plain,
% 5.10/4.58 (xuntil6(s141)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22762, 22760])).
% 5.10/4.58 tff(22764,plain,
% 5.10/4.58 (until5(s142)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5026, 22763])).
% 5.10/4.58 tff(22765,plain,
% 5.10/4.58 (~node4(s142)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5010, 113, 22476])).
% 5.10/4.58 tff(22766,plain,
% 5.10/4.58 (xuntil6(s142) | (~until5(s142))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[5017, 225, 22765])).
% 5.10/4.58 tff(22767,plain,
% 5.10/4.58 (xuntil6(s142)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22766, 22764])).
% 5.10/4.58 tff(22768,plain,
% 5.10/4.58 (until5(s143)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4996, 22767])).
% 5.10/4.58 tff(22769,plain,
% 5.10/4.58 (xuntil6(s144)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[21025, 22768])).
% 5.10/4.58 tff(22770,plain,
% 5.10/4.58 (until5(s145)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4942, 22769])).
% 5.10/4.58 tff(22771,plain,
% 5.10/4.58 (~node4(s145)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4929, 113, 22473])).
% 5.10/4.58 tff(22772,plain,
% 5.10/4.58 (xuntil6(s145) | (~until5(s145))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4936, 225, 22771])).
% 5.10/4.58 tff(22773,plain,
% 5.10/4.58 (xuntil6(s145)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22772, 22770])).
% 5.10/4.58 tff(22774,plain,
% 5.10/4.58 (until5(s146)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4925, 22773])).
% 5.10/4.58 tff(22775,plain,
% 5.10/4.58 (xuntil6(s146)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4920, 22774])).
% 5.10/4.58 tff(22776,plain,
% 5.10/4.58 (until5(s147)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4874, 22775])).
% 5.10/4.58 tff(22777,plain,
% 5.10/4.58 (~node4(s147)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4861, 113, 22471])).
% 5.10/4.58 tff(22778,plain,
% 5.10/4.58 (xuntil6(s147) | (~until5(s147))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4868, 225, 22777])).
% 5.10/4.58 tff(22779,plain,
% 5.10/4.58 (xuntil6(s147)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22778, 22776])).
% 5.10/4.58 tff(22780,plain,
% 5.10/4.58 (until5(s148)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4857, 22779])).
% 5.10/4.58 tff(22781,plain,
% 5.10/4.58 (xuntil6(s150)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4852, 22780, 22468])).
% 5.10/4.58 tff(22782,plain,
% 5.10/4.58 (until5(s151)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4800, 22781])).
% 5.10/4.58 tff(22783,plain,
% 5.10/4.58 (~node4(s151)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4787, 113, 22467])).
% 5.10/4.58 tff(22784,plain,
% 5.10/4.58 (xuntil6(s151) | (~until5(s151))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4794, 225, 22783])).
% 5.10/4.58 tff(22785,plain,
% 5.10/4.58 (xuntil6(s151)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22784, 22782])).
% 5.10/4.58 tff(22786,plain,
% 5.10/4.58 (until5(s152)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4783, 22785])).
% 5.10/4.58 tff(22787,plain,
% 5.10/4.58 (xuntil6(s161)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4778, 22786, 22457])).
% 5.10/4.58 tff(22788,plain,
% 5.10/4.58 (until5(s162)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4601, 22787])).
% 5.10/4.58 tff(22789,plain,
% 5.10/4.58 (xuntil6(s162)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4596, 22788])).
% 5.10/4.58 tff(22790,plain,
% 5.10/4.58 (until5(s163)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4550, 22789])).
% 5.10/4.58 tff(22791,plain,
% 5.10/4.58 (~node4(s163)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4338, 113, 22455])).
% 5.10/4.58 tff(22792,plain,
% 5.10/4.58 (xuntil6(s163) | (~until5(s163))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4545, 225, 22791])).
% 5.10/4.58 tff(22793,plain,
% 5.10/4.58 (xuntil6(s163)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22792, 22790])).
% 5.10/4.58 tff(22794,plain,
% 5.10/4.58 (until5(s164)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4538, 22793])).
% 5.10/4.58 tff(22795,plain,
% 5.10/4.58 (always3(s173)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4533, 22794, 4368])).
% 5.10/4.58 tff(22796,plain,
% 5.10/4.58 (((~![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)))),
% 5.10/4.58 inference(rewrite,[status(thm)],[])).
% 5.10/4.58 tff(22797,plain,
% 5.10/4.58 (((~m_main_v_state(s173, c_busy)) | (~always3(s173))) <=> ((~always3(s173)) | (~m_main_v_state(s173, c_busy)))),
% 5.10/4.58 inference(rewrite,[status(thm)],[])).
% 5.10/4.58 tff(22798,plain,
% 5.10/4.58 (((~![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))))),
% 5.10/4.58 inference(monotonicity,[status(thm)],[22797])).
% 5.10/4.58 tff(22799,plain,
% 5.10/4.58 (((~![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)))),
% 5.10/4.58 inference(transitivity,[status(thm)],[22798, 22796])).
% 5.10/4.58 tff(22800,plain,
% 5.10/4.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s173, c_busy)) | (~always3(s173)))),
% 5.10/4.58 inference(quant_inst,[status(thm)],[])).
% 5.10/4.58 tff(22801,plain,
% 5.10/4.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s173)) | (~m_main_v_state(s173, c_busy))),
% 5.10/4.58 inference(modus_ponens,[status(thm)],[22800, 22799])).
% 5.10/4.58 tff(22802,plain,
% 5.10/4.58 (~m_main_v_state(s173, c_busy)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22801, 145, 22795])).
% 5.10/4.58 tff(22803,plain,
% 5.10/4.58 (always3(s173)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4533, 4368, 4456])).
% 5.10/4.58 tff(22804,plain,
% 5.10/4.58 (always3(s174)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[3986, 22803])).
% 5.10/4.58 tff(22805,plain,
% 5.10/4.58 (((~![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)))),
% 5.10/4.58 inference(rewrite,[status(thm)],[])).
% 5.10/4.58 tff(22806,plain,
% 5.10/4.58 (((~m_main_v_state(s174, c_busy)) | (~always3(s174))) <=> ((~always3(s174)) | (~m_main_v_state(s174, c_busy)))),
% 5.10/4.58 inference(rewrite,[status(thm)],[])).
% 5.10/4.58 tff(22807,plain,
% 5.10/4.58 (((~![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))))),
% 5.10/4.58 inference(monotonicity,[status(thm)],[22806])).
% 5.10/4.58 tff(22808,plain,
% 5.10/4.58 (((~![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)))),
% 5.10/4.58 inference(transitivity,[status(thm)],[22807, 22805])).
% 5.10/4.58 tff(22809,plain,
% 5.10/4.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s174, c_busy)) | (~always3(s174)))),
% 5.10/4.58 inference(quant_inst,[status(thm)],[])).
% 5.10/4.58 tff(22810,plain,
% 5.10/4.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s174)) | (~m_main_v_state(s174, c_busy))),
% 5.10/4.58 inference(modus_ponens,[status(thm)],[22809, 22808])).
% 5.10/4.58 tff(22811,plain,
% 5.10/4.58 (~m_main_v_state(s174, c_busy)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22810, 145, 22804])).
% 5.10/4.58 tff(22812,assumption,(until5(s173)), introduced(assumption)).
% 5.10/4.58 tff(22813,plain,
% 5.10/4.58 (xuntil6(s173) | node4(s173)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4374, 225, 22812])).
% 5.10/4.58 tff(22814,plain,
% 5.10/4.58 (node4(s173)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22813, 4368])).
% 5.10/4.58 tff(22815,plain,
% 5.10/4.58 (((~![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)))),
% 5.10/4.58 inference(rewrite,[status(thm)],[])).
% 5.10/4.58 tff(22816,plain,
% 5.10/4.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s173) | (~node4(s173)))),
% 5.10/4.58 inference(quant_inst,[status(thm)],[])).
% 5.10/4.58 tff(22817,plain,
% 5.10/4.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s173) | (~node4(s173))),
% 5.10/4.58 inference(modus_ponens,[status(thm)],[22816, 22815])).
% 5.10/4.58 tff(22818,plain,
% 5.10/4.58 (m_main_v_request(s173)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22817, 63, 22814])).
% 5.10/4.58 tff(22819,plain,
% 5.10/4.58 (((~![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))),
% 5.10/4.58 inference(rewrite,[status(thm)],[])).
% 5.10/4.58 tff(22820,plain,
% 5.10/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s173, s174)) | node2(s173, s174))),
% 5.10/4.58 inference(quant_inst,[status(thm)],[])).
% 5.10/4.58 tff(22821,plain,
% 5.10/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s173, s174)) | node2(s173, s174)),
% 5.10/4.58 inference(modus_ponens,[status(thm)],[22820, 22819])).
% 5.10/4.58 tff(22822,plain,
% 5.10/4.58 (node2(s173, s174)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22821, 7, 3982])).
% 5.10/4.58 tff(22823,plain,
% 5.10/4.58 (((~![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(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)))),
% 5.10/4.58 inference(rewrite,[status(thm)],[])).
% 5.10/4.58 tff(22824,plain,
% 5.10/4.58 ((~![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(s173, c_ready)) | (~node2(s173, s174)) | m_main_v_state(s174, c_busy) | (~m_main_v_request(s173)))),
% 5.10/4.58 inference(quant_inst,[status(thm)],[])).
% 5.10/4.58 tff(22825,plain,
% 5.10/4.58 ((~![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(s173, c_ready)) | (~node2(s173, s174)) | m_main_v_state(s174, c_busy) | (~m_main_v_request(s173))),
% 5.10/4.58 inference(modus_ponens,[status(thm)],[22824, 22823])).
% 5.10/4.58 tff(22826,plain,
% 5.10/4.58 ((~m_main_v_state(s173, c_ready)) | m_main_v_state(s174, c_busy) | (~m_main_v_request(s173))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22825, 166, 22822])).
% 5.10/4.58 tff(22827,plain,
% 5.10/4.58 (~m_main_v_state(s173, c_ready)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22826, 22818, 22811])).
% 5.10/4.58 tff(22828,plain,
% 5.10/4.58 (~m_main_v_state(s173, c_busy)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22801, 145, 22803])).
% 5.10/4.58 tff(22829,plain,
% 5.10/4.58 (((~![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))),
% 5.10/4.58 inference(rewrite,[status(thm)],[])).
% 5.10/4.58 tff(22830,plain,
% 5.10/4.58 ((~![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))),
% 5.10/4.58 inference(quant_inst,[status(thm)],[])).
% 5.10/4.58 tff(22831,plain,
% 5.10/4.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s173, c_busy) | m_main_v_state(s173, c_ready)),
% 5.10/4.58 inference(modus_ponens,[status(thm)],[22830, 22829])).
% 5.10/4.58 tff(22832,plain,
% 5.10/4.58 ($false),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22831, 188, 22828, 22827])).
% 5.10/4.58 tff(22833,plain,(xuntil6(s173) | (~until5(s173)) | (~until5(s164))), inference(lemma,lemma(discharge,[]))).
% 5.10/4.58 tff(22834,plain,
% 5.10/4.58 (~until5(s173)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22833, 22794, 4368])).
% 5.10/4.58 tff(22835,plain,
% 5.10/4.58 (~xuntil6(s172)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4380, 22834])).
% 5.10/4.58 tff(22836,plain,
% 5.10/4.58 (xuntil6(s164)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22396, 22794])).
% 5.10/4.58 tff(22837,plain,
% 5.10/4.58 (until5(s165)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4468, 22836])).
% 5.10/4.58 tff(22838,plain,
% 5.10/4.58 (~node4(s165)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4449, 113, 22453])).
% 5.10/4.58 tff(22839,plain,
% 5.10/4.58 (xuntil6(s165) | (~until5(s165))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4475, 225, 22838])).
% 5.10/4.58 tff(22840,plain,
% 5.10/4.58 (xuntil6(s165)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22839, 22837])).
% 5.10/4.58 tff(22841,plain,
% 5.10/4.58 (until5(s166)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4480, 22840])).
% 5.10/4.58 tff(22842,plain,
% 5.10/4.58 (xuntil6(s166)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22412, 22841])).
% 5.10/4.58 tff(22843,plain,
% 5.10/4.58 (until5(s167)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4497, 22842])).
% 5.10/4.58 tff(22844,plain,
% 5.10/4.58 (~node4(s167)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4501, 113, 22451])).
% 5.10/4.58 tff(22845,plain,
% 5.10/4.58 (xuntil6(s167) | (~until5(s167))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4508, 225, 22844])).
% 5.10/4.58 tff(22846,plain,
% 5.10/4.58 (xuntil6(s167)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22845, 22843])).
% 5.10/4.58 tff(22847,plain,
% 5.10/4.58 (until5(s168)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4514, 22846])).
% 5.10/4.58 tff(22848,plain,
% 5.10/4.58 (xuntil6(s168)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22446, 22847])).
% 5.10/4.58 tff(22849,plain,
% 5.10/4.58 (until5(s169)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4531, 22848])).
% 5.10/4.58 tff(22850,plain,
% 5.10/4.58 (~node4(s169)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4433, 113, 22449])).
% 5.10/4.58 tff(22851,plain,
% 5.10/4.58 (xuntil6(s169) | (~until5(s169))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4440, 225, 22850])).
% 5.10/4.58 tff(22852,plain,
% 5.10/4.58 (xuntil6(s169)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22851, 22849])).
% 5.10/4.58 tff(22853,plain,
% 5.10/4.58 (until5(s170)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4428, 22852])).
% 5.10/4.58 tff(22854,assumption,(until5(s170)), introduced(assumption)).
% 5.10/4.58 tff(22855,assumption,(~xuntil6(s171)), introduced(assumption)).
% 5.10/4.58 tff(22856,assumption,(~always3(s171)), introduced(assumption)).
% 5.10/4.58 tff(22857,plain,
% 5.10/4.58 (~node4(s171)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4397, 113, 22856])).
% 5.10/4.58 tff(22858,plain,
% 5.10/4.58 (node4(s171) | (~until5(s171))),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4404, 225, 22855])).
% 5.10/4.58 tff(22859,plain,
% 5.10/4.58 (~until5(s171)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22858, 22857])).
% 5.10/4.58 tff(22860,plain,
% 5.10/4.58 (~always3(s170)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4022, 22856])).
% 5.10/4.58 tff(22861,plain,
% 5.10/4.58 (~node4(s170)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4415, 113, 22860])).
% 5.10/4.58 tff(22862,plain,
% 5.10/4.58 (xuntil6(s170) | node4(s170)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4422, 225, 22854])).
% 5.10/4.58 tff(22863,plain,
% 5.10/4.58 (xuntil6(s170)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22862, 22861])).
% 5.10/4.58 tff(22864,plain,
% 5.10/4.58 ($false),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4410, 22863, 22859])).
% 5.10/4.58 tff(22865,plain,(always3(s171) | (~until5(s170)) | xuntil6(s171)), inference(lemma,lemma(discharge,[]))).
% 5.10/4.58 tff(22866,plain,
% 5.10/4.58 (always3(s171)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22865, 22855, 22854])).
% 5.10/4.58 tff(22867,plain,
% 5.10/4.58 (((~![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)))),
% 5.10/4.58 inference(rewrite,[status(thm)],[])).
% 5.10/4.58 tff(22868,plain,
% 5.10/4.58 (((~m_main_v_state(s171, c_busy)) | (~always3(s171))) <=> ((~always3(s171)) | (~m_main_v_state(s171, c_busy)))),
% 5.10/4.58 inference(rewrite,[status(thm)],[])).
% 5.10/4.58 tff(22869,plain,
% 5.10/4.58 (((~![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))))),
% 5.10/4.58 inference(monotonicity,[status(thm)],[22868])).
% 5.10/4.58 tff(22870,plain,
% 5.10/4.58 (((~![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)))),
% 5.10/4.58 inference(transitivity,[status(thm)],[22869, 22867])).
% 5.10/4.58 tff(22871,plain,
% 5.10/4.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s171, c_busy)) | (~always3(s171)))),
% 5.10/4.58 inference(quant_inst,[status(thm)],[])).
% 5.10/4.58 tff(22872,plain,
% 5.10/4.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s171)) | (~m_main_v_state(s171, c_busy))),
% 5.10/4.58 inference(modus_ponens,[status(thm)],[22871, 22870])).
% 5.10/4.58 tff(22873,plain,
% 5.10/4.58 (~m_main_v_state(s171, c_busy)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[22872, 145, 22866])).
% 5.10/4.58 tff(22874,plain,
% 5.10/4.58 (always3(s172)),
% 5.10/4.58 inference(unit_resolution,[status(thm)],[4010, 22866])).
% 5.10/4.58 tff(22875,plain,
% 5.10/4.58 (((~![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)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22876,plain,
% 5.10/4.59 (((~m_main_v_state(s172, c_busy)) | (~always3(s172))) <=> ((~always3(s172)) | (~m_main_v_state(s172, c_busy)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22877,plain,
% 5.10/4.59 (((~![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))))),
% 5.10/4.59 inference(monotonicity,[status(thm)],[22876])).
% 5.10/4.59 tff(22878,plain,
% 5.10/4.59 (((~![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)))),
% 5.10/4.59 inference(transitivity,[status(thm)],[22877, 22875])).
% 5.10/4.59 tff(22879,plain,
% 5.10/4.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s172, c_busy)) | (~always3(s172)))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22880,plain,
% 5.10/4.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s172)) | (~m_main_v_state(s172, c_busy))),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22879, 22878])).
% 5.10/4.59 tff(22881,plain,
% 5.10/4.59 (~m_main_v_state(s172, c_busy)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22880, 145, 22874])).
% 5.10/4.59 tff(22882,plain,
% 5.10/4.59 (((~![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))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22883,plain,
% 5.10/4.59 ((~![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))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22884,plain,
% 5.10/4.59 ((~![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)),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22883, 22882])).
% 5.10/4.59 tff(22885,plain,
% 5.10/4.59 (m_main_v_state(s171, c_ready)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22884, 188, 22873])).
% 5.10/4.59 tff(22886,plain,
% 5.10/4.59 (((~![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))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22887,plain,
% 5.10/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s171, s172)) | node2(s171, s172))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22888,plain,
% 5.10/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s171, s172)) | node2(s171, s172)),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22887, 22886])).
% 5.10/4.59 tff(22889,plain,
% 5.10/4.59 (node2(s171, s172)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22888, 7, 4006])).
% 5.10/4.59 tff(22890,plain,
% 5.10/4.59 (((~![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(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)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22891,plain,
% 5.10/4.59 ((~![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(s171, c_ready)) | (~node2(s171, s172)) | m_main_v_state(s172, c_busy) | (~m_main_v_request(s171)))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22892,plain,
% 5.10/4.59 ((~![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(s171, c_ready)) | (~node2(s171, s172)) | m_main_v_state(s172, c_busy) | (~m_main_v_request(s171))),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22891, 22890])).
% 5.10/4.59 tff(22893,plain,
% 5.10/4.59 ((~m_main_v_state(s171, c_ready)) | m_main_v_state(s172, c_busy) | (~m_main_v_request(s171))),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22892, 166, 22889])).
% 5.10/4.59 tff(22894,plain,
% 5.10/4.59 (~m_main_v_request(s171)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22893, 22885, 22881])).
% 5.10/4.59 tff(22895,plain,
% 5.10/4.59 (((~![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)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22896,plain,
% 5.10/4.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s171) | (~node4(s171)))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22897,plain,
% 5.10/4.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s171) | (~node4(s171))),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22896, 22895])).
% 5.10/4.59 tff(22898,plain,
% 5.10/4.59 (~node4(s171)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22897, 63, 22894])).
% 5.10/4.59 tff(22899,plain,
% 5.10/4.59 (~until5(s171)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22858, 22898])).
% 5.10/4.59 tff(22900,plain,
% 5.10/4.59 (~xuntil6(s170)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[4410, 22899])).
% 5.10/4.59 tff(22901,plain,
% 5.10/4.59 (node4(s170)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22862, 22900])).
% 5.10/4.59 tff(22902,plain,
% 5.10/4.59 (((~![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)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22903,plain,
% 5.10/4.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s170) | (~node4(s170)))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22904,plain,
% 5.10/4.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s170) | (~node4(s170))),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22903, 22902])).
% 5.10/4.59 tff(22905,plain,
% 5.10/4.59 (m_main_v_request(s170)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22904, 63, 22901])).
% 5.10/4.59 tff(22906,plain,
% 5.10/4.59 (((~![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))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22907,plain,
% 5.10/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s170, s171)) | node2(s170, s171))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22908,plain,
% 5.10/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s170, s171)) | node2(s170, s171)),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22907, 22906])).
% 5.10/4.59 tff(22909,plain,
% 5.10/4.59 (node2(s170, s171)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22908, 7, 4018])).
% 5.10/4.59 tff(22910,plain,
% 5.10/4.59 (((~![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(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)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22911,plain,
% 5.10/4.59 ((~![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(s170, c_ready)) | (~node2(s170, s171)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s170)))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22912,plain,
% 5.10/4.59 ((~![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(s170, c_ready)) | (~node2(s170, s171)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s170))),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22911, 22910])).
% 5.10/4.59 tff(22913,plain,
% 5.10/4.59 ((~m_main_v_state(s170, c_ready)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s170))),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22912, 166, 22909])).
% 5.10/4.59 tff(22914,plain,
% 5.10/4.59 (~m_main_v_state(s170, c_ready)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22913, 22905, 22873])).
% 5.10/4.59 tff(22915,plain,
% 5.10/4.59 (always3(s170)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[4415, 113, 22901])).
% 5.10/4.59 tff(22916,plain,
% 5.10/4.59 (((~![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)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22917,plain,
% 5.10/4.59 (((~m_main_v_state(s170, c_busy)) | (~always3(s170))) <=> ((~always3(s170)) | (~m_main_v_state(s170, c_busy)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22918,plain,
% 5.10/4.59 (((~![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))))),
% 5.10/4.59 inference(monotonicity,[status(thm)],[22917])).
% 5.10/4.59 tff(22919,plain,
% 5.10/4.59 (((~![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)))),
% 5.10/4.59 inference(transitivity,[status(thm)],[22918, 22916])).
% 5.10/4.59 tff(22920,plain,
% 5.10/4.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s170, c_busy)) | (~always3(s170)))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22921,plain,
% 5.10/4.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s170)) | (~m_main_v_state(s170, c_busy))),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22920, 22919])).
% 5.10/4.59 tff(22922,plain,
% 5.10/4.59 (~m_main_v_state(s170, c_busy)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22921, 145, 22915])).
% 5.10/4.59 tff(22923,plain,
% 5.10/4.59 (((~![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))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22924,plain,
% 5.10/4.59 ((~![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))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22925,plain,
% 5.10/4.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s170, c_busy) | m_main_v_state(s170, c_ready)),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22924, 22923])).
% 5.10/4.59 tff(22926,plain,
% 5.10/4.59 ($false),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22925, 188, 22922, 22914])).
% 5.10/4.59 tff(22927,plain,(xuntil6(s171) | (~until5(s170))), inference(lemma,lemma(discharge,[]))).
% 5.10/4.59 tff(22928,plain,
% 5.10/4.59 (xuntil6(s171)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22927, 22853])).
% 5.10/4.59 tff(22929,plain,
% 5.10/4.59 (until5(s172)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[4392, 22928])).
% 5.10/4.59 tff(22930,plain,
% 5.10/4.59 (node4(s172)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[4387, 225, 22929, 22835])).
% 5.10/4.59 tff(22931,plain,
% 5.10/4.59 (((~![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)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22932,plain,
% 5.10/4.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s172) | (~node4(s172)))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22933,plain,
% 5.10/4.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s172) | (~node4(s172))),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22932, 22931])).
% 5.10/4.59 tff(22934,plain,
% 5.10/4.59 (m_main_v_request(s172)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22933, 63, 22930])).
% 5.10/4.59 tff(22935,plain,
% 5.10/4.59 (((~![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))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22936,plain,
% 5.10/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s172, s173)) | node2(s172, s173))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22937,plain,
% 5.10/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s172, s173)) | node2(s172, s173)),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22936, 22935])).
% 5.10/4.59 tff(22938,plain,
% 5.10/4.59 (node2(s172, s173)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22937, 7, 3994])).
% 5.10/4.59 tff(22939,plain,
% 5.10/4.59 (((~![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(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)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22940,plain,
% 5.10/4.59 ((~![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(s172, c_ready)) | (~node2(s172, s173)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s172)))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22941,plain,
% 5.10/4.59 ((~![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(s172, c_ready)) | (~node2(s172, s173)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s172))),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22940, 22939])).
% 5.10/4.59 tff(22942,plain,
% 5.10/4.59 ((~m_main_v_state(s172, c_ready)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s172))),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22941, 166, 22938])).
% 5.10/4.59 tff(22943,plain,
% 5.10/4.59 (~m_main_v_state(s172, c_ready)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22942, 22934, 22802])).
% 5.10/4.59 tff(22944,plain,
% 5.10/4.59 (always3(s172)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[4362, 113, 22930])).
% 5.10/4.59 tff(22945,plain,
% 5.10/4.59 (~m_main_v_state(s172, c_busy)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22880, 145, 22944])).
% 5.10/4.59 tff(22946,plain,
% 5.10/4.59 (((~![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))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22947,plain,
% 5.10/4.59 ((~![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))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22948,plain,
% 5.10/4.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s172, c_busy) | m_main_v_state(s172, c_ready)),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22947, 22946])).
% 5.10/4.59 tff(22949,plain,
% 5.10/4.59 ($false),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22948, 188, 22945, 22943])).
% 5.10/4.59 tff(22950,plain,(always3(s169) | xuntil6(s173)), inference(lemma,lemma(discharge,[]))).
% 5.10/4.59 tff(22951,plain,
% 5.10/4.59 (always3(s169)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22950, 4368])).
% 5.10/4.59 tff(22952,plain,
% 5.10/4.59 (always3(s170)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[4034, 22951])).
% 5.10/4.59 tff(22953,plain,
% 5.10/4.59 (~m_main_v_state(s170, c_busy)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22921, 145, 22952])).
% 5.10/4.59 tff(22954,plain,
% 5.10/4.59 (~m_main_v_state(s169, c_busy)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[8828, 145, 22951])).
% 5.10/4.59 tff(22955,plain,
% 5.10/4.59 (((~![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))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22956,plain,
% 5.10/4.59 ((~![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))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22957,plain,
% 5.10/4.59 ((~![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)),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22956, 22955])).
% 5.10/4.59 tff(22958,plain,
% 5.10/4.59 (m_main_v_state(s169, c_ready)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22957, 188, 22954])).
% 5.10/4.59 tff(22959,plain,
% 5.10/4.59 (((~![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))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22960,plain,
% 5.10/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s169, s170)) | node2(s169, s170))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22961,plain,
% 5.10/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s169, s170)) | node2(s169, s170)),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22960, 22959])).
% 5.10/4.59 tff(22962,plain,
% 5.10/4.59 (node2(s169, s170)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22961, 7, 4030])).
% 5.10/4.59 tff(22963,plain,
% 5.10/4.59 (((~![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(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)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22964,plain,
% 5.10/4.59 ((~![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(s169, c_ready)) | (~node2(s169, s170)) | m_main_v_state(s170, c_busy) | (~m_main_v_request(s169)))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22965,plain,
% 5.10/4.59 ((~![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(s169, c_ready)) | (~node2(s169, s170)) | m_main_v_state(s170, c_busy) | (~m_main_v_request(s169))),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22964, 22963])).
% 5.10/4.59 tff(22966,plain,
% 5.10/4.59 ((~m_main_v_state(s169, c_ready)) | m_main_v_state(s170, c_busy) | (~m_main_v_request(s169))),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22965, 166, 22962])).
% 5.10/4.59 tff(22967,plain,
% 5.10/4.59 (~m_main_v_request(s169)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22966, 22958, 22953])).
% 5.10/4.59 tff(22968,plain,
% 5.10/4.59 (((~![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)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22969,plain,
% 5.10/4.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s169) | (~node4(s169)))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22970,plain,
% 5.10/4.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s169) | (~node4(s169))),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22969, 22968])).
% 5.10/4.59 tff(22971,plain,
% 5.10/4.59 (~node4(s169)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22970, 63, 22967])).
% 5.10/4.59 tff(22972,assumption,(until5(s169)), introduced(assumption)).
% 5.10/4.59 tff(22973,plain,
% 5.10/4.59 (xuntil6(s169) | node4(s169)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[4440, 225, 22972])).
% 5.10/4.59 tff(22974,plain,
% 5.10/4.59 (xuntil6(s169)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22973, 22971])).
% 5.10/4.59 tff(22975,plain,
% 5.10/4.59 (until5(s170)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[4428, 22974])).
% 5.10/4.59 tff(22976,plain,
% 5.10/4.59 (always3(s171)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[4022, 22952])).
% 5.10/4.59 tff(22977,plain,
% 5.10/4.59 (always3(s172)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[4010, 22976])).
% 5.10/4.59 tff(22978,plain,
% 5.10/4.59 (~m_main_v_state(s172, c_busy)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22880, 145, 22977])).
% 5.10/4.59 tff(22979,plain,
% 5.10/4.59 (m_main_v_state(s172, c_ready)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22948, 188, 22978])).
% 5.10/4.59 tff(22980,plain,
% 5.10/4.59 (~m_main_v_request(s172)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22942, 22979, 22828])).
% 5.10/4.59 tff(22981,plain,
% 5.10/4.59 (~node4(s172)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22933, 63, 22980])).
% 5.10/4.59 tff(22982,plain,
% 5.10/4.59 (~until5(s173)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22833, 4368, 4456])).
% 5.10/4.59 tff(22983,plain,
% 5.10/4.59 (~xuntil6(s172)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[4380, 22982])).
% 5.10/4.59 tff(22984,plain,
% 5.10/4.59 (node4(s172) | (~until5(s172))),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[4387, 225, 22983])).
% 5.10/4.59 tff(22985,plain,
% 5.10/4.59 (~until5(s172)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22984, 22981])).
% 5.10/4.59 tff(22986,plain,
% 5.10/4.59 (~xuntil6(s171)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[4392, 22985])).
% 5.10/4.59 tff(22987,plain,
% 5.10/4.59 ($false),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22927, 22986, 22975])).
% 5.10/4.59 tff(22988,plain,(xuntil6(s173) | (~until5(s169)) | (~until5(s164))), inference(lemma,lemma(discharge,[]))).
% 5.10/4.59 tff(22989,plain,
% 5.10/4.59 (xuntil6(s173)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22988, 22448, 22395])).
% 5.10/4.59 tff(22990,plain,
% 5.10/4.59 (until5(s174)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[4356, 22989])).
% 5.10/4.59 tff(22991,plain,
% 5.10/4.59 (always3(s174)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[7998, 4344])).
% 5.10/4.59 tff(22992,plain,
% 5.10/4.59 (always3(s175)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[3973, 22991])).
% 5.10/4.59 tff(22993,plain,
% 5.10/4.59 (((~![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)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22994,plain,
% 5.10/4.59 (((~m_main_v_state(s175, c_busy)) | (~always3(s175))) <=> ((~always3(s175)) | (~m_main_v_state(s175, c_busy)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(22995,plain,
% 5.10/4.59 (((~![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))))),
% 5.10/4.59 inference(monotonicity,[status(thm)],[22994])).
% 5.10/4.59 tff(22996,plain,
% 5.10/4.59 (((~![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)))),
% 5.10/4.59 inference(transitivity,[status(thm)],[22995, 22993])).
% 5.10/4.59 tff(22997,plain,
% 5.10/4.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s175, c_busy)) | (~always3(s175)))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(22998,plain,
% 5.10/4.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s175)) | (~m_main_v_state(s175, c_busy))),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[22997, 22996])).
% 5.10/4.59 tff(22999,plain,
% 5.10/4.59 (~m_main_v_state(s175, c_busy)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22998, 145, 22992])).
% 5.10/4.59 tff(23000,assumption,(until5(s174)), introduced(assumption)).
% 5.10/4.59 tff(23001,plain,
% 5.10/4.59 (xuntil6(s174) | node4(s174)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[4350, 225, 23000])).
% 5.10/4.59 tff(23002,plain,
% 5.10/4.59 (node4(s174)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23001, 4344])).
% 5.10/4.59 tff(23003,plain,
% 5.10/4.59 (((~![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)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(23004,plain,
% 5.10/4.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s174) | (~node4(s174)))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(23005,plain,
% 5.10/4.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s174) | (~node4(s174))),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[23004, 23003])).
% 5.10/4.59 tff(23006,plain,
% 5.10/4.59 (m_main_v_request(s174)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23005, 63, 23002])).
% 5.10/4.59 tff(23007,plain,
% 5.10/4.59 (((~![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))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(23008,plain,
% 5.10/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s174, s175)) | node2(s174, s175))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(23009,plain,
% 5.10/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s174, s175)) | node2(s174, s175)),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[23008, 23007])).
% 5.10/4.59 tff(23010,plain,
% 5.10/4.59 (node2(s174, s175)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23009, 7, 3969])).
% 5.10/4.59 tff(23011,plain,
% 5.10/4.59 (((~![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(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)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(23012,plain,
% 5.10/4.59 ((~![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(s174, c_ready)) | (~node2(s174, s175)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s174)))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(23013,plain,
% 5.10/4.59 ((~![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(s174, c_ready)) | (~node2(s174, s175)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s174))),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[23012, 23011])).
% 5.10/4.59 tff(23014,plain,
% 5.10/4.59 ((~m_main_v_state(s174, c_ready)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s174))),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23013, 166, 23010])).
% 5.10/4.59 tff(23015,plain,
% 5.10/4.59 (~m_main_v_state(s174, c_ready)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23014, 23006, 22999])).
% 5.10/4.59 tff(23016,plain,
% 5.10/4.59 (~m_main_v_state(s174, c_busy)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[22810, 145, 22991])).
% 5.10/4.59 tff(23017,plain,
% 5.10/4.59 (((~![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))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(23018,plain,
% 5.10/4.59 ((~![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))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(23019,plain,
% 5.10/4.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s174, c_busy) | m_main_v_state(s174, c_ready)),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[23018, 23017])).
% 5.10/4.59 tff(23020,plain,
% 5.10/4.59 ($false),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23019, 188, 23016, 23015])).
% 5.10/4.59 tff(23021,plain,(xuntil6(s174) | (~until5(s174))), inference(lemma,lemma(discharge,[]))).
% 5.10/4.59 tff(23022,plain,
% 5.10/4.59 (xuntil6(s174)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23021, 22990])).
% 5.10/4.59 tff(23023,plain,
% 5.10/4.59 (until5(s175)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[8003, 23022])).
% 5.10/4.59 tff(23024,assumption,(~xuntil6(s181)), introduced(assumption)).
% 5.10/4.59 tff(23025,assumption,(~always3(s181)), introduced(assumption)).
% 5.10/4.59 tff(23026,plain,
% 5.10/4.59 (~always3(s180)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[3901, 23025])).
% 5.10/4.59 tff(23027,plain,
% 5.10/4.59 (xuntil6(s180)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[8108, 23026, 8065])).
% 5.10/4.59 tff(23028,plain,
% 5.10/4.59 (until5(s181)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[8113, 23027])).
% 5.10/4.59 tff(23029,plain,
% 5.10/4.59 (node4(s181) | (~until5(s181))),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[8120, 225, 23024])).
% 5.10/4.59 tff(23030,plain,
% 5.10/4.59 (node4(s181)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23029, 23028])).
% 5.10/4.59 tff(23031,plain,
% 5.10/4.59 ($false),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[3889, 113, 23025, 23030])).
% 5.10/4.59 tff(23032,plain,(always3(s181) | xuntil6(s181) | (~until5(s175))), inference(lemma,lemma(discharge,[]))).
% 5.10/4.59 tff(23033,plain,
% 5.10/4.59 (always3(s181)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23032, 8065, 23024])).
% 5.10/4.59 tff(23034,plain,
% 5.10/4.59 (always3(s182)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[3885, 23033])).
% 5.10/4.59 tff(23035,plain,
% 5.10/4.59 (~m_main_v_state(s182, c_busy)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[8159, 145, 23034])).
% 5.10/4.59 tff(23036,plain,
% 5.10/4.59 (((~![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)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(23037,plain,
% 5.10/4.59 (((~m_main_v_state(s181, c_busy)) | (~always3(s181))) <=> ((~always3(s181)) | (~m_main_v_state(s181, c_busy)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(23038,plain,
% 5.10/4.59 (((~![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))))),
% 5.10/4.59 inference(monotonicity,[status(thm)],[23037])).
% 5.10/4.59 tff(23039,plain,
% 5.10/4.59 (((~![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)))),
% 5.10/4.59 inference(transitivity,[status(thm)],[23038, 23036])).
% 5.10/4.59 tff(23040,plain,
% 5.10/4.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s181, c_busy)) | (~always3(s181)))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(23041,plain,
% 5.10/4.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s181)) | (~m_main_v_state(s181, c_busy))),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[23040, 23039])).
% 5.10/4.59 tff(23042,plain,
% 5.10/4.59 (~m_main_v_state(s181, c_busy)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23041, 145, 23033])).
% 5.10/4.59 tff(23043,plain,
% 5.10/4.59 (((~![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))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(23044,plain,
% 5.10/4.59 ((~![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))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(23045,plain,
% 5.10/4.59 ((~![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)),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[23044, 23043])).
% 5.10/4.59 tff(23046,plain,
% 5.10/4.59 (m_main_v_state(s181, c_ready)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23045, 188, 23042])).
% 5.10/4.59 tff(23047,plain,
% 5.10/4.59 (((~![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))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(23048,plain,
% 5.10/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s181, s182)) | node2(s181, s182))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(23049,plain,
% 5.10/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s181, s182)) | node2(s181, s182)),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[23048, 23047])).
% 5.10/4.59 tff(23050,plain,
% 5.10/4.59 (node2(s181, s182)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23049, 7, 3881])).
% 5.10/4.59 tff(23051,plain,
% 5.10/4.59 (((~![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(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)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(23052,plain,
% 5.10/4.59 ((~![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(s181, c_ready)) | (~node2(s181, s182)) | m_main_v_state(s182, c_busy) | (~m_main_v_request(s181)))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(23053,plain,
% 5.10/4.59 ((~![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(s181, c_ready)) | (~node2(s181, s182)) | m_main_v_state(s182, c_busy) | (~m_main_v_request(s181))),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[23052, 23051])).
% 5.10/4.59 tff(23054,plain,
% 5.10/4.59 ((~m_main_v_state(s181, c_ready)) | m_main_v_state(s182, c_busy) | (~m_main_v_request(s181))),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23053, 166, 23050])).
% 5.10/4.59 tff(23055,plain,
% 5.10/4.59 (~m_main_v_request(s181)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23054, 23046, 23035])).
% 5.10/4.59 tff(23056,plain,
% 5.10/4.59 (((~![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)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(23057,plain,
% 5.10/4.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s181) | (~node4(s181)))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(23058,plain,
% 5.10/4.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s181) | (~node4(s181))),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[23057, 23056])).
% 5.10/4.59 tff(23059,plain,
% 5.10/4.59 (~node4(s181)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23058, 63, 23055])).
% 5.10/4.59 tff(23060,plain,
% 5.10/4.59 (~until5(s181)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23029, 23059])).
% 5.10/4.59 tff(23061,plain,
% 5.10/4.59 (~xuntil6(s180)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[8113, 23060])).
% 5.10/4.59 tff(23062,plain,
% 5.10/4.59 (always3(s180)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[8108, 8015, 8065])).
% 5.10/4.59 tff(23063,plain,
% 5.10/4.59 (always3(s181)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[3901, 23062])).
% 5.10/4.59 tff(23064,plain,
% 5.10/4.59 (~m_main_v_state(s181, c_busy)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23041, 145, 23063])).
% 5.10/4.59 tff(23065,assumption,(until5(s180)), introduced(assumption)).
% 5.10/4.59 tff(23066,plain,
% 5.10/4.59 (xuntil6(s180) | node4(s180)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[8021, 225, 23065])).
% 5.10/4.59 tff(23067,plain,
% 5.10/4.59 (node4(s180)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23066, 8015])).
% 5.10/4.59 tff(23068,plain,
% 5.10/4.59 (((~![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)))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(23069,plain,
% 5.10/4.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s180) | (~node4(s180)))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(23070,plain,
% 5.10/4.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s180) | (~node4(s180))),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[23069, 23068])).
% 5.10/4.59 tff(23071,plain,
% 5.10/4.59 (m_main_v_request(s180)),
% 5.10/4.59 inference(unit_resolution,[status(thm)],[23070, 63, 23067])).
% 5.10/4.59 tff(23072,plain,
% 5.10/4.59 (((~![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))),
% 5.10/4.59 inference(rewrite,[status(thm)],[])).
% 5.10/4.59 tff(23073,plain,
% 5.10/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s180, s181)) | node2(s180, s181))),
% 5.10/4.59 inference(quant_inst,[status(thm)],[])).
% 5.10/4.59 tff(23074,plain,
% 5.10/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s180, s181)) | node2(s180, s181)),
% 5.10/4.59 inference(modus_ponens,[status(thm)],[23073, 23072])).
% 5.10/4.60 tff(23075,plain,
% 5.10/4.60 (node2(s180, s181)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23074, 7, 3897])).
% 5.10/4.60 tff(23076,plain,
% 5.10/4.60 (((~![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(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)))),
% 5.10/4.60 inference(rewrite,[status(thm)],[])).
% 5.10/4.60 tff(23077,plain,
% 5.10/4.60 ((~![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(s180, c_ready)) | (~node2(s180, s181)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s180)))),
% 5.10/4.60 inference(quant_inst,[status(thm)],[])).
% 5.10/4.60 tff(23078,plain,
% 5.10/4.60 ((~![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(s180, c_ready)) | (~node2(s180, s181)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s180))),
% 5.10/4.60 inference(modus_ponens,[status(thm)],[23077, 23076])).
% 5.10/4.60 tff(23079,plain,
% 5.10/4.60 ((~m_main_v_state(s180, c_ready)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s180))),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23078, 166, 23075])).
% 5.10/4.60 tff(23080,plain,
% 5.10/4.60 (~m_main_v_state(s180, c_ready)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23079, 23071, 23064])).
% 5.10/4.60 tff(23081,plain,
% 5.10/4.60 (((~![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)))),
% 5.10/4.60 inference(rewrite,[status(thm)],[])).
% 5.10/4.60 tff(23082,plain,
% 5.10/4.60 (((~m_main_v_state(s180, c_busy)) | (~always3(s180))) <=> ((~always3(s180)) | (~m_main_v_state(s180, c_busy)))),
% 5.10/4.60 inference(rewrite,[status(thm)],[])).
% 5.10/4.60 tff(23083,plain,
% 5.10/4.60 (((~![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))))),
% 5.10/4.60 inference(monotonicity,[status(thm)],[23082])).
% 5.10/4.60 tff(23084,plain,
% 5.10/4.60 (((~![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)))),
% 5.10/4.60 inference(transitivity,[status(thm)],[23083, 23081])).
% 5.10/4.60 tff(23085,plain,
% 5.10/4.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s180, c_busy)) | (~always3(s180)))),
% 5.10/4.60 inference(quant_inst,[status(thm)],[])).
% 5.10/4.60 tff(23086,plain,
% 5.10/4.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s180)) | (~m_main_v_state(s180, c_busy))),
% 5.10/4.60 inference(modus_ponens,[status(thm)],[23085, 23084])).
% 5.10/4.60 tff(23087,plain,
% 5.10/4.60 (~m_main_v_state(s180, c_busy)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23086, 145, 23062])).
% 5.10/4.60 tff(23088,plain,
% 5.10/4.60 (((~![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))),
% 5.10/4.60 inference(rewrite,[status(thm)],[])).
% 5.10/4.60 tff(23089,plain,
% 5.10/4.60 ((~![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))),
% 5.10/4.60 inference(quant_inst,[status(thm)],[])).
% 5.10/4.60 tff(23090,plain,
% 5.10/4.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s180, c_busy) | m_main_v_state(s180, c_ready)),
% 5.10/4.60 inference(modus_ponens,[status(thm)],[23089, 23088])).
% 5.10/4.60 tff(23091,plain,
% 5.10/4.60 ($false),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23090, 188, 23087, 23080])).
% 5.10/4.60 tff(23092,plain,(xuntil6(s180) | (~until5(s180)) | (~until5(s175))), inference(lemma,lemma(discharge,[]))).
% 5.10/4.60 tff(23093,plain,
% 5.10/4.60 (~until5(s180)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23092, 23061, 8065])).
% 5.10/4.60 tff(23094,plain,
% 5.10/4.60 (~xuntil6(s179)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8027, 23093])).
% 5.10/4.60 tff(23095,assumption,(~xuntil6(s176)), introduced(assumption)).
% 5.10/4.60 tff(23096,assumption,(~always3(s176)), introduced(assumption)).
% 5.10/4.60 tff(23097,plain,
% 5.10/4.60 (~node4(s176)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8058, 113, 23096])).
% 5.10/4.60 tff(23098,plain,
% 5.10/4.60 (node4(s176) | (~until5(s176))),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8084, 225, 23095])).
% 5.10/4.60 tff(23099,plain,
% 5.10/4.60 (~until5(s176)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23098, 23097])).
% 5.10/4.60 tff(23100,plain,
% 5.10/4.60 (~always3(s175)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[3961, 23096])).
% 5.10/4.60 tff(23101,plain,
% 5.10/4.60 (~node4(s175)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8063, 113, 23100])).
% 5.10/4.60 tff(23102,plain,
% 5.10/4.60 (xuntil6(s175)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8072, 23101])).
% 5.10/4.60 tff(23103,plain,
% 5.10/4.60 ($false),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8077, 23102, 23099])).
% 5.10/4.60 tff(23104,plain,(always3(s176) | (~until5(s175)) | xuntil6(s176)), inference(lemma,lemma(discharge,[]))).
% 5.10/4.60 tff(23105,plain,
% 5.10/4.60 (always3(s176)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23104, 23095, 8065])).
% 5.10/4.60 tff(23106,plain,
% 5.10/4.60 (((~![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)))),
% 5.10/4.60 inference(rewrite,[status(thm)],[])).
% 5.10/4.60 tff(23107,plain,
% 5.10/4.60 (((~m_main_v_state(s176, c_busy)) | (~always3(s176))) <=> ((~always3(s176)) | (~m_main_v_state(s176, c_busy)))),
% 5.10/4.60 inference(rewrite,[status(thm)],[])).
% 5.10/4.60 tff(23108,plain,
% 5.10/4.60 (((~![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))))),
% 5.10/4.60 inference(monotonicity,[status(thm)],[23107])).
% 5.10/4.60 tff(23109,plain,
% 5.10/4.60 (((~![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)))),
% 5.10/4.60 inference(transitivity,[status(thm)],[23108, 23106])).
% 5.10/4.60 tff(23110,plain,
% 5.10/4.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s176, c_busy)) | (~always3(s176)))),
% 5.10/4.60 inference(quant_inst,[status(thm)],[])).
% 5.10/4.60 tff(23111,plain,
% 5.10/4.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s176)) | (~m_main_v_state(s176, c_busy))),
% 5.10/4.60 inference(modus_ponens,[status(thm)],[23110, 23109])).
% 5.10/4.60 tff(23112,plain,
% 5.10/4.60 (~m_main_v_state(s176, c_busy)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23111, 145, 23105])).
% 5.10/4.60 tff(23113,plain,
% 5.10/4.60 (always3(s177)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[3949, 23105])).
% 5.10/4.60 tff(23114,plain,
% 5.10/4.60 (~m_main_v_state(s177, c_busy)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8706, 145, 23113])).
% 5.10/4.60 tff(23115,plain,
% 5.10/4.60 (((~![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))),
% 5.10/4.60 inference(rewrite,[status(thm)],[])).
% 5.10/4.60 tff(23116,plain,
% 5.10/4.60 ((~![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))),
% 5.10/4.60 inference(quant_inst,[status(thm)],[])).
% 5.10/4.60 tff(23117,plain,
% 5.10/4.60 ((~![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)),
% 5.10/4.60 inference(modus_ponens,[status(thm)],[23116, 23115])).
% 5.10/4.60 tff(23118,plain,
% 5.10/4.60 (m_main_v_state(s176, c_ready)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23117, 188, 23112])).
% 5.10/4.60 tff(23119,plain,
% 5.10/4.60 (((~![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))),
% 5.10/4.60 inference(rewrite,[status(thm)],[])).
% 5.10/4.60 tff(23120,plain,
% 5.10/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s176, s177)) | node2(s176, s177))),
% 5.10/4.60 inference(quant_inst,[status(thm)],[])).
% 5.10/4.60 tff(23121,plain,
% 5.10/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s176, s177)) | node2(s176, s177)),
% 5.10/4.60 inference(modus_ponens,[status(thm)],[23120, 23119])).
% 5.10/4.60 tff(23122,plain,
% 5.10/4.60 (node2(s176, s177)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23121, 7, 3945])).
% 5.10/4.60 tff(23123,plain,
% 5.10/4.60 (((~![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(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)))),
% 5.10/4.60 inference(rewrite,[status(thm)],[])).
% 5.10/4.60 tff(23124,plain,
% 5.10/4.60 ((~![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(s176, c_ready)) | (~node2(s176, s177)) | m_main_v_state(s177, c_busy) | (~m_main_v_request(s176)))),
% 5.10/4.60 inference(quant_inst,[status(thm)],[])).
% 5.10/4.60 tff(23125,plain,
% 5.10/4.60 ((~![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(s176, c_ready)) | (~node2(s176, s177)) | m_main_v_state(s177, c_busy) | (~m_main_v_request(s176))),
% 5.10/4.60 inference(modus_ponens,[status(thm)],[23124, 23123])).
% 5.10/4.60 tff(23126,plain,
% 5.10/4.60 ((~m_main_v_state(s176, c_ready)) | m_main_v_state(s177, c_busy) | (~m_main_v_request(s176))),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23125, 166, 23122])).
% 5.10/4.60 tff(23127,plain,
% 5.10/4.60 (~m_main_v_request(s176)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23126, 23118, 23114])).
% 5.10/4.60 tff(23128,plain,
% 5.10/4.60 (((~![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)))),
% 5.10/4.60 inference(rewrite,[status(thm)],[])).
% 5.10/4.60 tff(23129,plain,
% 5.10/4.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s176) | (~node4(s176)))),
% 5.10/4.60 inference(quant_inst,[status(thm)],[])).
% 5.10/4.60 tff(23130,plain,
% 5.10/4.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s176) | (~node4(s176))),
% 5.10/4.60 inference(modus_ponens,[status(thm)],[23129, 23128])).
% 5.10/4.60 tff(23131,plain,
% 5.10/4.60 (~node4(s176)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23130, 63, 23127])).
% 5.10/4.60 tff(23132,plain,
% 5.10/4.60 (~until5(s176)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23098, 23131])).
% 5.10/4.60 tff(23133,plain,
% 5.10/4.60 (~xuntil6(s175)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8077, 23132])).
% 5.10/4.60 tff(23134,plain,
% 5.10/4.60 (node4(s175)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8072, 23133])).
% 5.10/4.60 tff(23135,plain,
% 5.10/4.60 (((~![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)))),
% 5.10/4.60 inference(rewrite,[status(thm)],[])).
% 5.10/4.60 tff(23136,plain,
% 5.10/4.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s175) | (~node4(s175)))),
% 5.10/4.60 inference(quant_inst,[status(thm)],[])).
% 5.10/4.60 tff(23137,plain,
% 5.10/4.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s175) | (~node4(s175))),
% 5.10/4.60 inference(modus_ponens,[status(thm)],[23136, 23135])).
% 5.10/4.60 tff(23138,plain,
% 5.10/4.60 (m_main_v_request(s175)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23137, 63, 23134])).
% 5.10/4.60 tff(23139,plain,
% 5.10/4.60 (((~![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))),
% 5.10/4.60 inference(rewrite,[status(thm)],[])).
% 5.10/4.60 tff(23140,plain,
% 5.10/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s175, s176)) | node2(s175, s176))),
% 5.10/4.60 inference(quant_inst,[status(thm)],[])).
% 5.10/4.60 tff(23141,plain,
% 5.10/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s175, s176)) | node2(s175, s176)),
% 5.10/4.60 inference(modus_ponens,[status(thm)],[23140, 23139])).
% 5.10/4.60 tff(23142,plain,
% 5.10/4.60 (node2(s175, s176)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23141, 7, 3957])).
% 5.10/4.60 tff(23143,plain,
% 5.10/4.60 (((~![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(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)))),
% 5.10/4.60 inference(rewrite,[status(thm)],[])).
% 5.10/4.60 tff(23144,plain,
% 5.10/4.60 ((~![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(s175, c_ready)) | (~node2(s175, s176)) | m_main_v_state(s176, c_busy) | (~m_main_v_request(s175)))),
% 5.10/4.60 inference(quant_inst,[status(thm)],[])).
% 5.10/4.60 tff(23145,plain,
% 5.10/4.60 ((~![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(s175, c_ready)) | (~node2(s175, s176)) | m_main_v_state(s176, c_busy) | (~m_main_v_request(s175))),
% 5.10/4.60 inference(modus_ponens,[status(thm)],[23144, 23143])).
% 5.10/4.60 tff(23146,plain,
% 5.10/4.60 ((~m_main_v_state(s175, c_ready)) | m_main_v_state(s176, c_busy) | (~m_main_v_request(s175))),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23145, 166, 23142])).
% 5.10/4.60 tff(23147,plain,
% 5.10/4.60 (~m_main_v_state(s175, c_ready)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23146, 23138, 23112])).
% 5.10/4.60 tff(23148,plain,
% 5.10/4.60 (always3(s175)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8063, 113, 23134])).
% 5.10/4.60 tff(23149,plain,
% 5.10/4.60 (~m_main_v_state(s175, c_busy)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[22998, 145, 23148])).
% 5.10/4.60 tff(23150,plain,
% 5.10/4.60 (((~![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))),
% 5.10/4.60 inference(rewrite,[status(thm)],[])).
% 5.10/4.60 tff(23151,plain,
% 5.10/4.60 ((~![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))),
% 5.10/4.60 inference(quant_inst,[status(thm)],[])).
% 5.10/4.60 tff(23152,plain,
% 5.10/4.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s175, c_busy) | m_main_v_state(s175, c_ready)),
% 5.10/4.60 inference(modus_ponens,[status(thm)],[23151, 23150])).
% 5.10/4.60 tff(23153,plain,
% 5.10/4.60 ($false),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23152, 188, 23149, 23147])).
% 5.10/4.60 tff(23154,plain,(xuntil6(s176) | (~until5(s175))), inference(lemma,lemma(discharge,[]))).
% 5.10/4.60 tff(23155,plain,
% 5.10/4.60 (xuntil6(s176)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23154, 8065])).
% 5.10/4.60 tff(23156,plain,
% 5.10/4.60 (until5(s177)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8089, 23155])).
% 5.10/4.60 tff(23157,plain,
% 5.10/4.60 (xuntil6(s177) | (~until5(s177))),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8100, 225, 8712])).
% 5.10/4.60 tff(23158,plain,
% 5.10/4.60 (xuntil6(s177)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23157, 23156])).
% 5.10/4.60 tff(23159,plain,
% 5.10/4.60 (until5(s178)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8106, 23158])).
% 5.10/4.60 tff(23160,plain,
% 5.10/4.60 (xuntil6(s178) | (~until5(s178))),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8051, 225, 8673])).
% 5.10/4.60 tff(23161,plain,
% 5.10/4.60 (xuntil6(s178)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23160, 23159])).
% 5.10/4.60 tff(23162,plain,
% 5.10/4.60 (until5(s179)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8039, 23161])).
% 5.10/4.60 tff(23163,plain,
% 5.10/4.60 (xuntil6(s179) | node4(s179)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8034, 225, 23162])).
% 5.10/4.60 tff(23164,plain,
% 5.10/4.60 (node4(s179)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23163, 23094])).
% 5.10/4.60 tff(23165,plain,
% 5.10/4.60 (((~![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)))),
% 5.10/4.60 inference(rewrite,[status(thm)],[])).
% 5.10/4.60 tff(23166,plain,
% 5.10/4.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s179) | (~node4(s179)))),
% 5.10/4.60 inference(quant_inst,[status(thm)],[])).
% 5.10/4.60 tff(23167,plain,
% 5.10/4.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s179) | (~node4(s179))),
% 5.10/4.60 inference(modus_ponens,[status(thm)],[23166, 23165])).
% 5.10/4.60 tff(23168,plain,
% 5.10/4.60 (m_main_v_request(s179)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23167, 63, 23164])).
% 5.10/4.60 tff(23169,plain,
% 5.10/4.60 (always3(s180)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8108, 23061, 8065])).
% 5.10/4.60 tff(23170,plain,
% 5.10/4.60 (~m_main_v_state(s180, c_busy)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23086, 145, 23169])).
% 5.10/4.60 tff(23171,plain,
% 5.10/4.60 (((~![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))),
% 5.10/4.60 inference(rewrite,[status(thm)],[])).
% 5.10/4.60 tff(23172,plain,
% 5.10/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s179, s180)) | node2(s179, s180))),
% 5.10/4.60 inference(quant_inst,[status(thm)],[])).
% 5.10/4.60 tff(23173,plain,
% 5.10/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s179, s180)) | node2(s179, s180)),
% 5.10/4.60 inference(modus_ponens,[status(thm)],[23172, 23171])).
% 5.10/4.60 tff(23174,plain,
% 5.10/4.60 (node2(s179, s180)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23173, 7, 3909])).
% 5.10/4.60 tff(23175,plain,
% 5.10/4.60 (((~![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(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)))),
% 5.10/4.60 inference(rewrite,[status(thm)],[])).
% 5.10/4.60 tff(23176,plain,
% 5.10/4.60 ((~![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(s179, c_ready)) | (~node2(s179, s180)) | m_main_v_state(s180, c_busy) | (~m_main_v_request(s179)))),
% 5.10/4.60 inference(quant_inst,[status(thm)],[])).
% 5.10/4.60 tff(23177,plain,
% 5.10/4.60 ((~![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(s179, c_ready)) | (~node2(s179, s180)) | m_main_v_state(s180, c_busy) | (~m_main_v_request(s179))),
% 5.10/4.60 inference(modus_ponens,[status(thm)],[23176, 23175])).
% 5.10/4.60 tff(23178,plain,
% 5.10/4.60 ((~m_main_v_state(s179, c_ready)) | m_main_v_state(s180, c_busy) | (~m_main_v_request(s179))),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23177, 166, 23174])).
% 5.10/4.60 tff(23179,plain,
% 5.10/4.60 (~m_main_v_state(s179, c_ready)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23178, 23170, 23168])).
% 5.10/4.60 tff(23180,assumption,(~always3(s179)), introduced(assumption)).
% 5.10/4.60 tff(23181,plain,
% 5.10/4.60 (~always3(s178)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[3925, 23180])).
% 5.10/4.60 tff(23182,plain,
% 5.10/4.60 (~always3(s177)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[3937, 23181])).
% 5.10/4.60 tff(23183,plain,
% 5.10/4.60 (~node4(s177)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8093, 113, 23182])).
% 5.10/4.60 tff(23184,assumption,(until5(s177)), introduced(assumption)).
% 5.10/4.60 tff(23185,plain,
% 5.10/4.60 (xuntil6(s177) | node4(s177)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8100, 225, 23184])).
% 5.10/4.60 tff(23186,plain,
% 5.10/4.60 (xuntil6(s177)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23185, 23183])).
% 5.10/4.60 tff(23187,plain,
% 5.10/4.60 (until5(s178)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8106, 23186])).
% 5.10/4.60 tff(23188,plain,
% 5.10/4.60 (xuntil6(s178)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23160, 23187])).
% 5.10/4.60 tff(23189,plain,
% 5.10/4.60 (until5(s179)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8039, 23188])).
% 5.10/4.60 tff(23190,assumption,(~xuntil6(s179)), introduced(assumption)).
% 5.10/4.60 tff(23191,plain,
% 5.10/4.60 (node4(s179) | (~until5(s179))),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8034, 225, 23190])).
% 5.10/4.60 tff(23192,plain,
% 5.10/4.60 (node4(s179)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23191, 23189])).
% 5.10/4.60 tff(23193,plain,
% 5.10/4.60 ($false),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8009, 113, 23180, 23192])).
% 5.10/4.60 tff(23194,plain,(always3(s179) | xuntil6(s179) | (~until5(s177))), inference(lemma,lemma(discharge,[]))).
% 5.10/4.60 tff(23195,plain,
% 5.10/4.60 (always3(s179)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23194, 23094, 23156])).
% 5.10/4.60 tff(23196,plain,
% 5.10/4.60 (~m_main_v_state(s179, c_busy)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8651, 145, 23195])).
% 5.10/4.60 tff(23197,plain,
% 5.10/4.60 (((~![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))),
% 5.10/4.60 inference(rewrite,[status(thm)],[])).
% 5.10/4.60 tff(23198,plain,
% 5.10/4.60 ((~![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))),
% 5.10/4.60 inference(quant_inst,[status(thm)],[])).
% 5.10/4.60 tff(23199,plain,
% 5.10/4.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s179, c_busy) | m_main_v_state(s179, c_ready)),
% 5.10/4.60 inference(modus_ponens,[status(thm)],[23198, 23197])).
% 5.10/4.60 tff(23200,plain,
% 5.10/4.60 ($false),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23199, 188, 23196, 23179])).
% 5.10/4.60 tff(23201,plain,((~until5(s175)) | xuntil6(s181)), inference(lemma,lemma(discharge,[]))).
% 5.10/4.60 tff(23202,plain,
% 5.10/4.60 (xuntil6(s181)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23201, 23023])).
% 5.10/4.60 tff(23203,plain,
% 5.10/4.60 (until5(s182)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8126, 23202])).
% 5.10/4.60 tff(23204,plain,
% 5.10/4.60 (xuntil6(s182)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8172, 23203])).
% 5.10/4.60 tff(23205,plain,
% 5.10/4.60 (until5(s183)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8177, 23204])).
% 5.10/4.60 tff(23206,assumption,(~xuntil6(s183)), introduced(assumption)).
% 5.10/4.60 tff(23207,assumption,(~always3(s183)), introduced(assumption)).
% 5.10/4.60 tff(23208,plain,
% 5.10/4.60 (~node4(s183)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[3861, 113, 23207])).
% 5.10/4.60 tff(23209,plain,
% 5.10/4.60 (node4(s183) | (~until5(s183))),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8184, 225, 23206])).
% 5.10/4.60 tff(23210,plain,
% 5.10/4.60 (~until5(s183)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[23209, 23208])).
% 5.10/4.60 tff(23211,plain,
% 5.10/4.60 (~xuntil6(s182)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8177, 23210])).
% 5.10/4.60 tff(23212,plain,
% 5.10/4.60 (~always3(s182)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[3873, 23207])).
% 5.10/4.60 tff(23213,plain,
% 5.10/4.60 (~always3(s181)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[3885, 23212])).
% 5.10/4.60 tff(23214,plain,
% 5.10/4.60 (~node4(s181)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[3889, 113, 23213])).
% 5.10/4.60 tff(23215,plain,
% 5.10/4.60 (~always3(s180)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[3901, 23213])).
% 5.10/4.60 tff(23216,plain,
% 5.10/4.60 (~always3(s179)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[3913, 23215])).
% 5.10/4.60 tff(23217,plain,
% 5.10/4.60 (~always3(s178)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[3925, 23216])).
% 5.10/4.60 tff(23218,plain,
% 5.10/4.60 (~always3(s177)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[3937, 23217])).
% 5.10/4.60 tff(23219,plain,
% 5.10/4.60 (~always3(s176)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[3949, 23218])).
% 5.10/4.60 tff(23220,plain,
% 5.10/4.60 (~always3(s175)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[3961, 23219])).
% 5.10/4.60 tff(23221,plain,
% 5.10/4.60 (~always3(s174)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[3973, 23220])).
% 5.10/4.60 tff(23222,plain,
% 5.10/4.60 (xuntil6(s174)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[7998, 23221])).
% 5.10/4.60 tff(23223,plain,
% 5.10/4.60 (until5(s175)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8003, 23222])).
% 5.10/4.60 tff(23224,plain,
% 5.10/4.60 (xuntil6(s180)),
% 5.10/4.60 inference(unit_resolution,[status(thm)],[8108, 23223, 23215])).
% 5.13/4.60 tff(23225,plain,
% 5.13/4.60 (until5(s181)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8113, 23224])).
% 5.13/4.60 tff(23226,plain,
% 5.13/4.60 (xuntil6(s181) | node4(s181)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8120, 225, 23225])).
% 5.13/4.60 tff(23227,plain,
% 5.13/4.60 (xuntil6(s181)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23226, 23214])).
% 5.13/4.60 tff(23228,plain,
% 5.13/4.60 (until5(s182)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8126, 23227])).
% 5.13/4.60 tff(23229,plain,
% 5.13/4.60 ($false),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8172, 23228, 23211])).
% 5.13/4.60 tff(23230,plain,(always3(s183) | xuntil6(s183)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.60 tff(23231,plain,
% 5.13/4.60 (always3(s183)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23230, 23206])).
% 5.13/4.60 tff(23232,plain,
% 5.13/4.60 (always3(s184)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3857, 23231])).
% 5.13/4.60 tff(23233,plain,
% 5.13/4.60 (~m_main_v_state(s184, c_busy)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8570, 145, 23232])).
% 5.13/4.60 tff(23234,assumption,(until5(s183)), introduced(assumption)).
% 5.13/4.60 tff(23235,plain,
% 5.13/4.60 (xuntil6(s183) | node4(s183)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8184, 225, 23234])).
% 5.13/4.60 tff(23236,plain,
% 5.13/4.60 (node4(s183)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23235, 23206])).
% 5.13/4.60 tff(23237,plain,
% 5.13/4.60 (((~![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)))),
% 5.13/4.60 inference(rewrite,[status(thm)],[])).
% 5.13/4.60 tff(23238,plain,
% 5.13/4.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s183) | (~node4(s183)))),
% 5.13/4.60 inference(quant_inst,[status(thm)],[])).
% 5.13/4.60 tff(23239,plain,
% 5.13/4.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s183) | (~node4(s183))),
% 5.13/4.60 inference(modus_ponens,[status(thm)],[23238, 23237])).
% 5.13/4.60 tff(23240,plain,
% 5.13/4.60 (m_main_v_request(s183)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23239, 63, 23236])).
% 5.13/4.60 tff(23241,plain,
% 5.13/4.60 (((~![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))),
% 5.13/4.60 inference(rewrite,[status(thm)],[])).
% 5.13/4.60 tff(23242,plain,
% 5.13/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s183, s184)) | node2(s183, s184))),
% 5.13/4.60 inference(quant_inst,[status(thm)],[])).
% 5.13/4.60 tff(23243,plain,
% 5.13/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s183, s184)) | node2(s183, s184)),
% 5.13/4.60 inference(modus_ponens,[status(thm)],[23242, 23241])).
% 5.13/4.60 tff(23244,plain,
% 5.13/4.60 (node2(s183, s184)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23243, 7, 3853])).
% 5.13/4.60 tff(23245,plain,
% 5.13/4.60 (((~![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(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)))),
% 5.13/4.60 inference(rewrite,[status(thm)],[])).
% 5.13/4.60 tff(23246,plain,
% 5.13/4.60 ((~![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(s183, c_ready)) | (~node2(s183, s184)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183)))),
% 5.13/4.60 inference(quant_inst,[status(thm)],[])).
% 5.13/4.60 tff(23247,plain,
% 5.13/4.60 ((~![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(s183, c_ready)) | (~node2(s183, s184)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183))),
% 5.13/4.60 inference(modus_ponens,[status(thm)],[23246, 23245])).
% 5.13/4.60 tff(23248,plain,
% 5.13/4.60 ((~m_main_v_state(s183, c_ready)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183))),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23247, 166, 23244])).
% 5.13/4.60 tff(23249,plain,
% 5.13/4.60 (~m_main_v_state(s183, c_ready)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23248, 23240, 23233])).
% 5.13/4.60 tff(23250,plain,
% 5.13/4.60 (~m_main_v_state(s183, c_busy)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8143, 145, 23231])).
% 5.13/4.60 tff(23251,plain,
% 5.13/4.60 (((~![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))),
% 5.13/4.60 inference(rewrite,[status(thm)],[])).
% 5.13/4.60 tff(23252,plain,
% 5.13/4.60 ((~![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))),
% 5.13/4.60 inference(quant_inst,[status(thm)],[])).
% 5.13/4.60 tff(23253,plain,
% 5.13/4.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s183, c_busy) | m_main_v_state(s183, c_ready)),
% 5.13/4.60 inference(modus_ponens,[status(thm)],[23252, 23251])).
% 5.13/4.60 tff(23254,plain,
% 5.13/4.60 ($false),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23253, 188, 23250, 23249])).
% 5.13/4.60 tff(23255,plain,(xuntil6(s183) | (~until5(s183))), inference(lemma,lemma(discharge,[]))).
% 5.13/4.60 tff(23256,plain,
% 5.13/4.60 (xuntil6(s183)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23255, 23205])).
% 5.13/4.60 tff(23257,plain,
% 5.13/4.60 (until5(s184)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8189, 23256])).
% 5.13/4.60 tff(23258,plain,
% 5.13/4.60 (xuntil6(s184) | (~until5(s184))),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8238, 225, 8576])).
% 5.13/4.60 tff(23259,plain,
% 5.13/4.60 (xuntil6(s184)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23258, 23257])).
% 5.13/4.60 tff(23260,plain,
% 5.13/4.60 (until5(s185)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8244, 23259])).
% 5.13/4.60 tff(23261,assumption,(~xuntil6(s185)), introduced(assumption)).
% 5.13/4.60 tff(23262,assumption,(~always3(s185)), introduced(assumption)).
% 5.13/4.60 tff(23263,plain,
% 5.13/4.60 (~always3(s184)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3845, 23262])).
% 5.13/4.60 tff(23264,plain,
% 5.13/4.60 (~always3(s183)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3857, 23263])).
% 5.13/4.60 tff(23265,plain,
% 5.13/4.60 (~node4(s183)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3861, 113, 23264])).
% 5.13/4.60 tff(23266,plain,
% 5.13/4.60 (~node4(s185)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8225, 113, 23262])).
% 5.13/4.60 tff(23267,plain,
% 5.13/4.60 (node4(s185) | (~until5(s185))),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8251, 225, 23261])).
% 5.13/4.60 tff(23268,plain,
% 5.13/4.60 (~until5(s185)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23267, 23266])).
% 5.13/4.60 tff(23269,plain,
% 5.13/4.60 (~xuntil6(s184)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8244, 23268])).
% 5.13/4.60 tff(23270,plain,
% 5.13/4.60 (~until5(s184)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23258, 23269])).
% 5.13/4.60 tff(23271,plain,
% 5.13/4.60 (~xuntil6(s183)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8189, 23270])).
% 5.13/4.60 tff(23272,plain,
% 5.13/4.60 (~always3(s182)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3873, 23264])).
% 5.13/4.60 tff(23273,plain,
% 5.13/4.60 (~always3(s181)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3885, 23272])).
% 5.13/4.60 tff(23274,plain,
% 5.13/4.60 (~node4(s181)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3889, 113, 23273])).
% 5.13/4.60 tff(23275,plain,
% 5.13/4.60 (~always3(s180)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3901, 23273])).
% 5.13/4.60 tff(23276,plain,
% 5.13/4.60 (~always3(s179)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3913, 23275])).
% 5.13/4.60 tff(23277,plain,
% 5.13/4.60 (~always3(s178)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3925, 23276])).
% 5.13/4.60 tff(23278,plain,
% 5.13/4.60 (~always3(s177)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3937, 23277])).
% 5.13/4.60 tff(23279,plain,
% 5.13/4.60 (~always3(s176)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3949, 23278])).
% 5.13/4.60 tff(23280,plain,
% 5.13/4.60 (~always3(s175)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3961, 23279])).
% 5.13/4.60 tff(23281,plain,
% 5.13/4.60 (~always3(s174)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3973, 23280])).
% 5.13/4.60 tff(23282,plain,
% 5.13/4.60 (xuntil6(s174)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[7998, 23281])).
% 5.13/4.60 tff(23283,plain,
% 5.13/4.60 (until5(s175)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8003, 23282])).
% 5.13/4.60 tff(23284,plain,
% 5.13/4.60 (xuntil6(s180)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8108, 23283, 23275])).
% 5.13/4.60 tff(23285,plain,
% 5.13/4.60 (until5(s181)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8113, 23284])).
% 5.13/4.60 tff(23286,plain,
% 5.13/4.60 (xuntil6(s181) | node4(s181)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8120, 225, 23285])).
% 5.13/4.60 tff(23287,plain,
% 5.13/4.60 (xuntil6(s181)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23286, 23274])).
% 5.13/4.60 tff(23288,plain,
% 5.13/4.60 (until5(s182)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8126, 23287])).
% 5.13/4.60 tff(23289,plain,
% 5.13/4.60 (xuntil6(s182)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8172, 23288])).
% 5.13/4.60 tff(23290,plain,
% 5.13/4.60 (until5(s183)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8177, 23289])).
% 5.13/4.60 tff(23291,plain,
% 5.13/4.60 ($false),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8184, 225, 23290, 23271, 23265])).
% 5.13/4.60 tff(23292,plain,(always3(s185) | xuntil6(s185)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.60 tff(23293,plain,
% 5.13/4.60 (always3(s185)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23292, 23261])).
% 5.13/4.60 tff(23294,plain,
% 5.13/4.60 (always3(s186)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3833, 23293])).
% 5.13/4.60 tff(23295,plain,
% 5.13/4.60 (~m_main_v_state(s186, c_busy)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8514, 145, 23294])).
% 5.13/4.60 tff(23296,assumption,(until5(s185)), introduced(assumption)).
% 5.13/4.60 tff(23297,plain,
% 5.13/4.60 (xuntil6(s185) | node4(s185)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8251, 225, 23296])).
% 5.13/4.60 tff(23298,plain,
% 5.13/4.60 (node4(s185)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23297, 23261])).
% 5.13/4.60 tff(23299,plain,
% 5.13/4.60 (m_main_v_request(s185)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[16086, 63, 23298])).
% 5.13/4.60 tff(23300,plain,
% 5.13/4.60 (~m_main_v_state(s185, c_ready)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[16107, 23299, 23295])).
% 5.13/4.60 tff(23301,plain,
% 5.13/4.60 (m_main_v_state(s185, c_busy)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[16096, 188, 23300])).
% 5.13/4.60 tff(23302,plain,
% 5.13/4.60 ($false),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8554, 145, 23293, 23301])).
% 5.13/4.60 tff(23303,plain,(xuntil6(s185) | (~until5(s185))), inference(lemma,lemma(discharge,[]))).
% 5.13/4.60 tff(23304,plain,
% 5.13/4.60 (xuntil6(s185)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23303, 23260])).
% 5.13/4.60 tff(23305,plain,
% 5.13/4.60 (until5(s186)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8256, 23304])).
% 5.13/4.60 tff(23306,plain,
% 5.13/4.60 (xuntil6(s186) | (~until5(s186))),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8220, 225, 8520])).
% 5.13/4.60 tff(23307,plain,
% 5.13/4.60 (xuntil6(s186)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23306, 23305])).
% 5.13/4.60 tff(23308,plain,
% 5.13/4.60 (until5(s187)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8213, 23307])).
% 5.13/4.60 tff(23309,plain,
% 5.13/4.60 (~always3(s183)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3857, 8227])).
% 5.13/4.60 tff(23310,plain,
% 5.13/4.60 (~node4(s183)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3861, 113, 23309])).
% 5.13/4.60 tff(23311,plain,
% 5.13/4.60 (~until5(s184)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8258, 8191, 8201])).
% 5.13/4.60 tff(23312,plain,
% 5.13/4.60 (~xuntil6(s183)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8189, 23311])).
% 5.13/4.60 tff(23313,plain,
% 5.13/4.60 (node4(s183) | (~until5(s183))),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8184, 225, 23312])).
% 5.13/4.60 tff(23314,plain,
% 5.13/4.60 (~until5(s183)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23313, 23310])).
% 5.13/4.60 tff(23315,plain,
% 5.13/4.60 (~xuntil6(s182)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8177, 23314])).
% 5.13/4.60 tff(23316,plain,
% 5.13/4.60 (~always3(s182)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3873, 23309])).
% 5.13/4.60 tff(23317,plain,
% 5.13/4.60 (~always3(s181)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3885, 23316])).
% 5.13/4.60 tff(23318,plain,
% 5.13/4.60 (~node4(s181)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3889, 113, 23317])).
% 5.13/4.60 tff(23319,plain,
% 5.13/4.60 (~always3(s180)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3901, 23317])).
% 5.13/4.60 tff(23320,plain,
% 5.13/4.60 (~always3(s179)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3913, 23319])).
% 5.13/4.60 tff(23321,plain,
% 5.13/4.60 (~always3(s178)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3925, 23320])).
% 5.13/4.60 tff(23322,plain,
% 5.13/4.60 (~always3(s177)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3937, 23321])).
% 5.13/4.60 tff(23323,plain,
% 5.13/4.60 (~always3(s176)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3949, 23322])).
% 5.13/4.60 tff(23324,plain,
% 5.13/4.60 (~always3(s175)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3961, 23323])).
% 5.13/4.60 tff(23325,plain,
% 5.13/4.60 (~always3(s174)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3973, 23324])).
% 5.13/4.60 tff(23326,plain,
% 5.13/4.60 (xuntil6(s174)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[7998, 23325])).
% 5.13/4.60 tff(23327,plain,
% 5.13/4.60 (until5(s175)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8003, 23326])).
% 5.13/4.60 tff(23328,plain,
% 5.13/4.60 (xuntil6(s180)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8108, 23327, 23319])).
% 5.13/4.60 tff(23329,plain,
% 5.13/4.60 (until5(s181)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8113, 23328])).
% 5.13/4.60 tff(23330,plain,
% 5.13/4.60 (xuntil6(s181) | node4(s181)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8120, 225, 23329])).
% 5.13/4.60 tff(23331,plain,
% 5.13/4.60 (xuntil6(s181)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23330, 23318])).
% 5.13/4.60 tff(23332,plain,
% 5.13/4.60 (until5(s182)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8126, 23331])).
% 5.13/4.60 tff(23333,plain,
% 5.13/4.60 ($false),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8172, 23332, 23315])).
% 5.13/4.60 tff(23334,plain,(always3(s187) | xuntil6(s187)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.60 tff(23335,plain,
% 5.13/4.60 (always3(s187)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23334, 8201])).
% 5.13/4.60 tff(23336,plain,
% 5.13/4.60 (always3(s188)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3809, 23335])).
% 5.13/4.60 tff(23337,plain,
% 5.13/4.60 (~m_main_v_state(s188, c_busy)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3783, 145, 23336])).
% 5.13/4.60 tff(23338,assumption,(until5(s187)), introduced(assumption)).
% 5.13/4.60 tff(23339,plain,
% 5.13/4.60 (xuntil6(s187) | node4(s187)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8207, 225, 23338])).
% 5.13/4.60 tff(23340,plain,
% 5.13/4.60 (node4(s187)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23339, 8201])).
% 5.13/4.60 tff(23341,plain,
% 5.13/4.60 (m_main_v_request(s187)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[16041, 63, 23340])).
% 5.13/4.60 tff(23342,plain,
% 5.13/4.60 (~m_main_v_state(s187, c_ready)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[16075, 23341, 23337])).
% 5.13/4.60 tff(23343,plain,
% 5.13/4.60 (~m_main_v_state(s187, c_busy)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8498, 145, 23335])).
% 5.13/4.60 tff(23344,plain,
% 5.13/4.60 (((~![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))),
% 5.13/4.60 inference(rewrite,[status(thm)],[])).
% 5.13/4.60 tff(23345,plain,
% 5.13/4.60 ((~![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))),
% 5.13/4.60 inference(quant_inst,[status(thm)],[])).
% 5.13/4.60 tff(23346,plain,
% 5.13/4.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s187, c_busy) | m_main_v_state(s187, c_ready)),
% 5.13/4.60 inference(modus_ponens,[status(thm)],[23345, 23344])).
% 5.13/4.60 tff(23347,plain,
% 5.13/4.60 ($false),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23346, 188, 23343, 23342])).
% 5.13/4.60 tff(23348,plain,(xuntil6(s187) | (~until5(s187))), inference(lemma,lemma(discharge,[]))).
% 5.13/4.60 tff(23349,plain,
% 5.13/4.60 (xuntil6(s187)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23348, 23308])).
% 5.13/4.60 tff(23350,plain,
% 5.13/4.60 (until5(s188)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8263, 23349])).
% 5.13/4.60 tff(23351,plain,
% 5.13/4.60 (xuntil6(s188)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3796, 23350])).
% 5.13/4.60 tff(23352,plain,
% 5.13/4.60 (until5(s189)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3742, 23351])).
% 5.13/4.60 tff(23353,assumption,(~always3(s189)), introduced(assumption)).
% 5.13/4.60 tff(23354,plain,
% 5.13/4.60 (~always3(s188)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3760, 23353])).
% 5.13/4.60 tff(23355,plain,
% 5.13/4.60 (~always3(s187)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3809, 23354])).
% 5.13/4.60 tff(23356,plain,
% 5.13/4.60 (~always3(s186)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3821, 23355])).
% 5.13/4.60 tff(23357,plain,
% 5.13/4.60 (~always3(s185)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3833, 23356])).
% 5.13/4.60 tff(23358,plain,
% 5.13/4.60 (~always3(s184)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3845, 23357])).
% 5.13/4.60 tff(23359,plain,
% 5.13/4.60 (~always3(s183)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3857, 23358])).
% 5.13/4.60 tff(23360,plain,
% 5.13/4.60 (~node4(s183)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3861, 113, 23359])).
% 5.13/4.60 tff(23361,plain,
% 5.13/4.60 (~always3(s182)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3873, 23359])).
% 5.13/4.60 tff(23362,plain,
% 5.13/4.60 (~always3(s181)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3885, 23361])).
% 5.13/4.60 tff(23363,plain,
% 5.13/4.60 (~node4(s181)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3889, 113, 23362])).
% 5.13/4.60 tff(23364,plain,
% 5.13/4.60 (~always3(s180)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3901, 23362])).
% 5.13/4.60 tff(23365,plain,
% 5.13/4.60 (~always3(s179)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3913, 23364])).
% 5.13/4.60 tff(23366,plain,
% 5.13/4.60 (~always3(s178)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3925, 23365])).
% 5.13/4.60 tff(23367,plain,
% 5.13/4.60 (~always3(s177)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3937, 23366])).
% 5.13/4.60 tff(23368,plain,
% 5.13/4.60 (~always3(s176)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3949, 23367])).
% 5.13/4.60 tff(23369,plain,
% 5.13/4.60 (~always3(s175)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3961, 23368])).
% 5.13/4.60 tff(23370,plain,
% 5.13/4.60 (~always3(s174)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3973, 23369])).
% 5.13/4.60 tff(23371,plain,
% 5.13/4.60 (xuntil6(s174)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[7998, 23370])).
% 5.13/4.60 tff(23372,plain,
% 5.13/4.60 (until5(s175)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8003, 23371])).
% 5.13/4.60 tff(23373,plain,
% 5.13/4.60 (xuntil6(s180)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8108, 23372, 23364])).
% 5.13/4.60 tff(23374,plain,
% 5.13/4.60 (until5(s181)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8113, 23373])).
% 5.13/4.60 tff(23375,plain,
% 5.13/4.60 (xuntil6(s181) | node4(s181)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8120, 225, 23374])).
% 5.13/4.60 tff(23376,plain,
% 5.13/4.60 (xuntil6(s181)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23375, 23363])).
% 5.13/4.60 tff(23377,plain,
% 5.13/4.60 (until5(s182)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8126, 23376])).
% 5.13/4.60 tff(23378,plain,
% 5.13/4.60 (xuntil6(s182)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8172, 23377])).
% 5.13/4.60 tff(23379,plain,
% 5.13/4.60 (until5(s183)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8177, 23378])).
% 5.13/4.60 tff(23380,plain,
% 5.13/4.60 (xuntil6(s183)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8184, 225, 23379, 23360])).
% 5.13/4.60 tff(23381,plain,
% 5.13/4.60 (until5(s184)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8189, 23380])).
% 5.13/4.60 tff(23382,plain,
% 5.13/4.60 (xuntil6(s187)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8258, 23381, 23355])).
% 5.13/4.60 tff(23383,plain,
% 5.13/4.60 (until5(s188)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[8263, 23382])).
% 5.13/4.60 tff(23384,plain,
% 5.13/4.60 (xuntil6(s188)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3796, 23383])).
% 5.13/4.60 tff(23385,plain,
% 5.13/4.60 (until5(s189)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3742, 23384])).
% 5.13/4.60 tff(23386,plain,
% 5.13/4.60 (~node4(s189)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3378, 113, 23353])).
% 5.13/4.60 tff(23387,plain,
% 5.13/4.60 (xuntil6(s189) | (~until5(s189))),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3734, 225, 23386])).
% 5.13/4.60 tff(23388,plain,
% 5.13/4.60 (xuntil6(s189)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23387, 23385])).
% 5.13/4.60 tff(23389,plain,
% 5.13/4.60 (until5(s190)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3727, 23388])).
% 5.13/4.60 tff(23390,plain,
% 5.13/4.60 (xuntil6(s190)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3722, 23389])).
% 5.13/4.60 tff(23391,plain,
% 5.13/4.60 (until5(s191)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3676, 23390])).
% 5.13/4.60 tff(23392,plain,
% 5.13/4.60 (xuntil6(s191) | (~until5(s191))),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3670, 225, 8434])).
% 5.13/4.60 tff(23393,plain,
% 5.13/4.60 (xuntil6(s191)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[23392, 23391])).
% 5.13/4.60 tff(23394,plain,
% 5.13/4.60 (until5(s192)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3663, 23393])).
% 5.13/4.60 tff(23395,plain,
% 5.13/4.60 (xuntil6(s192)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3658, 23394])).
% 5.13/4.60 tff(23396,plain,
% 5.13/4.60 (until5(s193)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3612, 23395])).
% 5.13/4.60 tff(23397,plain,
% 5.13/4.60 (xuntil6(s193)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3402, 225, 23396, 13386])).
% 5.13/4.60 tff(23398,plain,
% 5.13/4.60 (until5(s194)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3408, 23397])).
% 5.13/4.60 tff(23399,plain,
% 5.13/4.60 (xuntil6(s194)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3454, 23398])).
% 5.13/4.60 tff(23400,plain,
% 5.13/4.60 (until5(s195)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3459, 23399])).
% 5.13/4.60 tff(23401,plain,
% 5.13/4.60 (node4(s195)),
% 5.13/4.60 inference(unit_resolution,[status(thm)],[3468, 23400])).
% 5.13/4.60 tff(23402,assumption,(~always3(s193)), introduced(assumption)).
% 5.13/4.61 tff(23403,plain,
% 5.13/4.61 (~always3(s192)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3338, 23402])).
% 5.13/4.61 tff(23404,plain,
% 5.13/4.61 (~always3(s191)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3350, 23403])).
% 5.13/4.61 tff(23405,plain,
% 5.13/4.61 (~node4(s191)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3382, 113, 23404])).
% 5.13/4.61 tff(23406,plain,
% 5.13/4.61 (~always3(s190)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3362, 23404])).
% 5.13/4.61 tff(23407,plain,
% 5.13/4.61 (~always3(s189)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3374, 23406])).
% 5.13/4.61 tff(23408,plain,
% 5.13/4.61 (~node4(s189)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3378, 113, 23407])).
% 5.13/4.61 tff(23409,assumption,(until5(s189)), introduced(assumption)).
% 5.13/4.61 tff(23410,plain,
% 5.13/4.61 (xuntil6(s189) | node4(s189)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3734, 225, 23409])).
% 5.13/4.61 tff(23411,plain,
% 5.13/4.61 (xuntil6(s189)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23410, 23408])).
% 5.13/4.61 tff(23412,plain,
% 5.13/4.61 (until5(s190)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3727, 23411])).
% 5.13/4.61 tff(23413,plain,
% 5.13/4.61 (xuntil6(s190)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3722, 23412])).
% 5.13/4.61 tff(23414,plain,
% 5.13/4.61 (until5(s191)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3676, 23413])).
% 5.13/4.61 tff(23415,plain,
% 5.13/4.61 (xuntil6(s191)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3670, 225, 23414, 23405])).
% 5.13/4.61 tff(23416,plain,
% 5.13/4.61 (until5(s192)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3663, 23415])).
% 5.13/4.61 tff(23417,plain,
% 5.13/4.61 (xuntil6(s192)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3658, 23416])).
% 5.13/4.61 tff(23418,plain,
% 5.13/4.61 (until5(s193)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3612, 23417])).
% 5.13/4.61 tff(23419,plain,
% 5.13/4.61 (always3(s195)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3474, 23418, 3461])).
% 5.13/4.61 tff(23420,plain,
% 5.13/4.61 (always3(s196)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3302, 23419])).
% 5.13/4.61 tff(23421,plain,
% 5.13/4.61 (~m_main_v_state(s196, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3512, 145, 23420])).
% 5.13/4.61 tff(23422,plain,
% 5.13/4.61 (~node4(s193)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3395, 113, 23402])).
% 5.13/4.61 tff(23423,plain,
% 5.13/4.61 (xuntil6(s193) | (~until5(s193))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3402, 225, 23422])).
% 5.13/4.61 tff(23424,plain,
% 5.13/4.61 (xuntil6(s193)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23423, 23418])).
% 5.13/4.61 tff(23425,plain,
% 5.13/4.61 (until5(s194)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3408, 23424])).
% 5.13/4.61 tff(23426,plain,
% 5.13/4.61 (xuntil6(s194)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3454, 23425])).
% 5.13/4.61 tff(23427,plain,
% 5.13/4.61 (until5(s195)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3459, 23426])).
% 5.13/4.61 tff(23428,plain,
% 5.13/4.61 (node4(s195)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3468, 23427])).
% 5.13/4.61 tff(23429,plain,
% 5.13/4.61 (m_main_v_request(s195)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[15919, 63, 23428])).
% 5.13/4.61 tff(23430,plain,
% 5.13/4.61 (~m_main_v_state(s195, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[15953, 23429, 23421])).
% 5.13/4.61 tff(23431,plain,
% 5.13/4.61 (((~![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))),
% 5.13/4.61 inference(rewrite,[status(thm)],[])).
% 5.13/4.61 tff(23432,plain,
% 5.13/4.61 ((~![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))),
% 5.13/4.61 inference(quant_inst,[status(thm)],[])).
% 5.13/4.61 tff(23433,plain,
% 5.13/4.61 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s195, c_busy) | m_main_v_state(s195, c_ready)),
% 5.13/4.61 inference(modus_ponens,[status(thm)],[23432, 23431])).
% 5.13/4.61 tff(23434,plain,
% 5.13/4.61 (m_main_v_state(s195, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23433, 188, 23430])).
% 5.13/4.61 tff(23435,plain,
% 5.13/4.61 ($false),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3425, 145, 23419, 23434])).
% 5.13/4.61 tff(23436,plain,(always3(s193) | xuntil6(s195) | (~until5(s189))), inference(lemma,lemma(discharge,[]))).
% 5.13/4.61 tff(23437,plain,
% 5.13/4.61 (always3(s193)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23436, 23385, 3461])).
% 5.13/4.61 tff(23438,plain,
% 5.13/4.61 (always3(s194)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3326, 23437])).
% 5.13/4.61 tff(23439,plain,
% 5.13/4.61 (always3(s195)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3314, 23438])).
% 5.13/4.61 tff(23440,plain,
% 5.13/4.61 (always3(s196)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3302, 23439])).
% 5.13/4.61 tff(23441,plain,
% 5.13/4.61 (~m_main_v_state(s196, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3512, 145, 23440])).
% 5.13/4.61 tff(23442,plain,
% 5.13/4.61 (~m_main_v_state(s195, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3425, 145, 23439])).
% 5.13/4.61 tff(23443,plain,
% 5.13/4.61 (m_main_v_state(s195, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[15944, 23442])).
% 5.13/4.61 tff(23444,plain,
% 5.13/4.61 (~m_main_v_request(s195)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[15953, 23443, 23441])).
% 5.13/4.61 tff(23445,plain,
% 5.13/4.61 ($false),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[15919, 63, 23444, 23401])).
% 5.13/4.61 tff(23446,plain,(always3(s189) | xuntil6(s195) | node4(s193)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.61 tff(23447,plain,
% 5.13/4.61 (always3(s189)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23446, 3461, 13386])).
% 5.13/4.61 tff(23448,plain,
% 5.13/4.61 (always3(s190)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3374, 23447])).
% 5.13/4.61 tff(23449,plain,
% 5.13/4.61 (~m_main_v_state(s190, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3709, 145, 23448])).
% 5.13/4.61 tff(23450,plain,
% 5.13/4.61 (~m_main_v_state(s189, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3767, 145, 23447])).
% 5.13/4.61 tff(23451,plain,
% 5.13/4.61 (m_main_v_state(s189, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[16030, 188, 23450])).
% 5.13/4.61 tff(23452,plain,
% 5.13/4.61 (~m_main_v_request(s189)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[16025, 23451, 23449])).
% 5.13/4.61 tff(23453,plain,
% 5.13/4.61 (~node4(s189)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[16013, 63, 23452])).
% 5.13/4.61 tff(23454,plain,
% 5.13/4.61 (xuntil6(s189)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23410, 23453])).
% 5.13/4.61 tff(23455,plain,
% 5.13/4.61 (until5(s190)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3727, 23454])).
% 5.13/4.61 tff(23456,plain,
% 5.13/4.61 (xuntil6(s190)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3722, 23455])).
% 5.13/4.61 tff(23457,plain,
% 5.13/4.61 (always3(s193)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23436, 3461, 23409])).
% 5.13/4.61 tff(23458,plain,
% 5.13/4.61 (always3(s194)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3326, 23457])).
% 5.13/4.61 tff(23459,plain,
% 5.13/4.61 (always3(s195)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3314, 23458])).
% 5.13/4.61 tff(23460,plain,
% 5.13/4.61 (always3(s196)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3302, 23459])).
% 5.13/4.61 tff(23461,plain,
% 5.13/4.61 (~m_main_v_state(s196, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3512, 145, 23460])).
% 5.13/4.61 tff(23462,plain,
% 5.13/4.61 (~m_main_v_state(s195, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3425, 145, 23459])).
% 5.13/4.61 tff(23463,plain,
% 5.13/4.61 (m_main_v_state(s195, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[15944, 23462])).
% 5.13/4.61 tff(23464,plain,
% 5.13/4.61 (~m_main_v_request(s195)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[15953, 23463, 23461])).
% 5.13/4.61 tff(23465,plain,
% 5.13/4.61 (~node4(s195)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[15919, 63, 23464])).
% 5.13/4.61 tff(23466,plain,
% 5.13/4.61 (~until5(s195)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3468, 23465])).
% 5.13/4.61 tff(23467,plain,
% 5.13/4.61 (~xuntil6(s194)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3459, 23466])).
% 5.13/4.61 tff(23468,plain,
% 5.13/4.61 (~until5(s194)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3454, 23467])).
% 5.13/4.61 tff(23469,plain,
% 5.13/4.61 (~xuntil6(s193)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3408, 23468])).
% 5.13/4.61 tff(23470,plain,
% 5.13/4.61 (~until5(s193)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3402, 225, 23469, 13386])).
% 5.13/4.61 tff(23471,plain,
% 5.13/4.61 (~xuntil6(s192)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3612, 23470])).
% 5.13/4.61 tff(23472,plain,
% 5.13/4.61 (~until5(s192)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3658, 23471])).
% 5.13/4.61 tff(23473,plain,
% 5.13/4.61 (~xuntil6(s191)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3663, 23472])).
% 5.13/4.61 tff(23474,plain,
% 5.13/4.61 (~until5(s191)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23392, 23473])).
% 5.13/4.61 tff(23475,plain,
% 5.13/4.61 ($false),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3676, 23474, 23456])).
% 5.13/4.61 tff(23476,plain,(xuntil6(s195) | (~until5(s189)) | node4(s193)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.61 tff(23477,plain,
% 5.13/4.61 (xuntil6(s195) | (~until5(s189))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23476, 16000])).
% 5.13/4.61 tff(23478,plain,
% 5.13/4.61 (xuntil6(s195)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23477, 23352])).
% 5.13/4.61 tff(23479,plain,
% 5.13/4.61 (until5(s196)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3479, 23478])).
% 5.13/4.61 tff(23480,plain,
% 5.13/4.61 (xuntil6(s196)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3525, 23479])).
% 5.13/4.61 tff(23481,plain,
% 5.13/4.61 (until5(s197)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3530, 23480])).
% 5.13/4.61 tff(23482,plain,
% 5.13/4.61 (xuntil6(s197) | (~until5(s197))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3537, 225, 8349])).
% 5.13/4.61 tff(23483,plain,
% 5.13/4.61 (xuntil6(s197)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23482, 23481])).
% 5.13/4.61 tff(23484,plain,
% 5.13/4.61 (until5(s198)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3543, 23483])).
% 5.13/4.61 tff(23485,plain,
% 5.13/4.61 (xuntil6(s198)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3589, 23484])).
% 5.13/4.61 tff(23486,plain,
% 5.13/4.61 (until5(s199)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3594, 23485])).
% 5.13/4.61 tff(23487,assumption,(until5(s199)), introduced(assumption)).
% 5.13/4.61 tff(23488,plain,
% 5.13/4.61 ($false),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3601, 225, 23487, 3384, 18474])).
% 5.13/4.61 tff(23489,plain,((~until5(s199)) | xuntil6(s199) | node4(s199)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.61 tff(23490,plain,
% 5.13/4.61 (xuntil6(s199)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23489, 23486, 18474])).
% 5.13/4.61 tff(23491,plain,
% 5.13/4.61 (until2p7(s117)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[13264, 23490, 13256])).
% 5.13/4.61 tff(23492,plain,
% 5.13/4.61 (node4(s117) | xuntil2p8(s117)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9684, 8293, 23491])).
% 5.13/4.61 tff(23493,plain,
% 5.13/4.61 (xuntil2p8(s117)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23492, 18473])).
% 5.13/4.61 tff(23494,plain,
% 5.13/4.61 (until2p7(s118)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9678, 23493])).
% 5.13/4.61 tff(23495,plain,
% 5.13/4.61 (xuntil2p8(s118) | (~until2p7(s118))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9672, 8293, 18505])).
% 5.13/4.61 tff(23496,plain,
% 5.13/4.61 (xuntil2p8(s118)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23495, 23494])).
% 5.13/4.61 tff(23497,plain,
% 5.13/4.61 (until2p7(s119)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9666, 23496])).
% 5.13/4.61 tff(23498,plain,
% 5.13/4.61 (always3(s120)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5532, 18475])).
% 5.13/4.61 tff(23499,plain,
% 5.13/4.61 (~m_main_v_state(s120, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18560, 145, 23498])).
% 5.13/4.61 tff(23500,plain,
% 5.13/4.61 (m_main_v_state(s119, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18581, 188, 18482])).
% 5.13/4.61 tff(23501,plain,
% 5.13/4.61 (~m_main_v_request(s119)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18576, 23500, 23499])).
% 5.13/4.61 tff(23502,plain,
% 5.13/4.61 (~node4(s119)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18567, 63, 23501])).
% 5.13/4.61 tff(23503,plain,
% 5.13/4.61 (xuntil2p8(s119) | (~until2p7(s119))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9660, 8293, 23502])).
% 5.13/4.61 tff(23504,plain,
% 5.13/4.61 (xuntil2p8(s119)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23503, 23497])).
% 5.13/4.61 tff(23505,plain,
% 5.13/4.61 (until2p7(s120)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9654, 23504])).
% 5.13/4.61 tff(23506,plain,
% 5.13/4.61 (always3(s121)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5520, 23498])).
% 5.13/4.61 tff(23507,plain,
% 5.13/4.61 (~m_main_v_state(s121, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18682, 145, 23506])).
% 5.13/4.61 tff(23508,plain,
% 5.13/4.61 (m_main_v_state(s120, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18722, 188, 23499])).
% 5.13/4.61 tff(23509,plain,
% 5.13/4.61 (~m_main_v_request(s120)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18716, 23508, 23507])).
% 5.13/4.61 tff(23510,plain,
% 5.13/4.61 (~node4(s120)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18707, 63, 23509])).
% 5.13/4.61 tff(23511,plain,
% 5.13/4.61 (xuntil2p8(s120) | (~until2p7(s120))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9648, 8293, 23510])).
% 5.13/4.61 tff(23512,plain,
% 5.13/4.61 (xuntil2p8(s120)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23511, 23505])).
% 5.13/4.61 tff(23513,plain,
% 5.13/4.61 (until2p7(s121)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9642, 23512])).
% 5.13/4.61 tff(23514,plain,
% 5.13/4.61 (always3(s122)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5508, 23506])).
% 5.13/4.61 tff(23515,plain,
% 5.13/4.61 (~m_main_v_state(s122, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18658, 145, 23514])).
% 5.13/4.61 tff(23516,plain,
% 5.13/4.61 (m_main_v_state(s121, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18687, 188, 23507])).
% 5.13/4.61 tff(23517,plain,
% 5.13/4.61 (~m_main_v_request(s121)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18696, 23516, 23515])).
% 5.13/4.61 tff(23518,plain,
% 5.13/4.61 (~node4(s121)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18700, 63, 23517])).
% 5.13/4.61 tff(23519,plain,
% 5.13/4.61 (xuntil2p8(s121) | (~until2p7(s121))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9636, 8293, 23518])).
% 5.13/4.61 tff(23520,plain,
% 5.13/4.61 (xuntil2p8(s121)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23519, 23513])).
% 5.13/4.61 tff(23521,plain,
% 5.13/4.61 (until2p7(s122)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9630, 23520])).
% 5.13/4.61 tff(23522,plain,
% 5.13/4.61 (always3(s123)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5496, 23514])).
% 5.13/4.61 tff(23523,plain,
% 5.13/4.61 (~m_main_v_state(s123, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18651, 145, 23522])).
% 5.13/4.61 tff(23524,plain,
% 5.13/4.61 (m_main_v_state(s122, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18662, 188, 23515])).
% 5.13/4.61 tff(23525,plain,
% 5.13/4.61 (~m_main_v_request(s122)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18739, 23524, 23523])).
% 5.13/4.61 tff(23526,plain,
% 5.13/4.61 (~node4(s122)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18730, 63, 23525])).
% 5.13/4.61 tff(23527,plain,
% 5.13/4.61 (xuntil2p8(s122) | (~until2p7(s122))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9624, 8293, 23526])).
% 5.13/4.61 tff(23528,plain,
% 5.13/4.61 (xuntil2p8(s122)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23527, 23521])).
% 5.13/4.61 tff(23529,plain,
% 5.13/4.61 (until2p7(s123)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9618, 23528])).
% 5.13/4.61 tff(23530,plain,
% 5.13/4.61 (always3(s124)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5484, 23522])).
% 5.13/4.61 tff(23531,plain,
% 5.13/4.61 (~m_main_v_state(s124, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19219, 145, 23530])).
% 5.13/4.61 tff(23532,plain,
% 5.13/4.61 (m_main_v_state(s123, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19259, 188, 23523])).
% 5.13/4.61 tff(23533,plain,
% 5.13/4.61 (~m_main_v_request(s123)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19253, 23532, 23531])).
% 5.13/4.61 tff(23534,plain,
% 5.13/4.61 (~node4(s123)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19244, 63, 23533])).
% 5.13/4.61 tff(23535,plain,
% 5.13/4.61 (xuntil2p8(s123) | (~until2p7(s123))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9612, 8293, 23534])).
% 5.13/4.61 tff(23536,plain,
% 5.13/4.61 (xuntil2p8(s123)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23535, 23529])).
% 5.13/4.61 tff(23537,plain,
% 5.13/4.61 (until2p7(s124)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9606, 23536])).
% 5.13/4.61 tff(23538,plain,
% 5.13/4.61 (always3(s125)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5472, 23530])).
% 5.13/4.61 tff(23539,plain,
% 5.13/4.61 (~m_main_v_state(s125, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19181, 145, 23538])).
% 5.13/4.61 tff(23540,plain,
% 5.13/4.61 (m_main_v_state(s124, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19223, 188, 23531])).
% 5.13/4.61 tff(23541,plain,
% 5.13/4.61 (~m_main_v_request(s124)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19232, 23540, 23539])).
% 5.13/4.61 tff(23542,plain,
% 5.13/4.61 (~node4(s124)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19236, 63, 23541])).
% 5.13/4.61 tff(23543,plain,
% 5.13/4.61 (xuntil2p8(s124) | (~until2p7(s124))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9600, 8293, 23542])).
% 5.13/4.61 tff(23544,plain,
% 5.13/4.61 (xuntil2p8(s124)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23543, 23537])).
% 5.13/4.61 tff(23545,plain,
% 5.13/4.61 (until2p7(s125)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9594, 23544])).
% 5.13/4.61 tff(23546,plain,
% 5.13/4.61 (always3(s126)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5460, 23538])).
% 5.13/4.61 tff(23547,plain,
% 5.13/4.61 (~m_main_v_state(s126, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19126, 145, 23546])).
% 5.13/4.61 tff(23548,plain,
% 5.13/4.61 (m_main_v_state(s125, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19185, 188, 23539])).
% 5.13/4.61 tff(23549,plain,
% 5.13/4.61 (~m_main_v_request(s125)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19194, 23548, 23547])).
% 5.13/4.61 tff(23550,plain,
% 5.13/4.61 (~node4(s125)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19198, 63, 23549])).
% 5.13/4.61 tff(23551,plain,
% 5.13/4.61 (xuntil2p8(s125) | (~until2p7(s125))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9588, 8293, 23550])).
% 5.13/4.61 tff(23552,plain,
% 5.13/4.61 (xuntil2p8(s125)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23551, 23545])).
% 5.13/4.61 tff(23553,plain,
% 5.13/4.61 (until2p7(s126)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9582, 23552])).
% 5.13/4.61 tff(23554,plain,
% 5.13/4.61 (always3(s127)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5448, 23546])).
% 5.13/4.61 tff(23555,plain,
% 5.13/4.61 (~m_main_v_state(s127, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19103, 145, 23554])).
% 5.13/4.61 tff(23556,plain,
% 5.13/4.61 (~node4(s126)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19132, 23555])).
% 5.13/4.61 tff(23557,plain,
% 5.13/4.61 (xuntil2p8(s126) | (~until2p7(s126))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9576, 8293, 23556])).
% 5.13/4.61 tff(23558,plain,
% 5.13/4.61 (xuntil2p8(s126)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23557, 23553])).
% 5.13/4.61 tff(23559,plain,
% 5.13/4.61 (until2p7(s127)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9570, 23558])).
% 5.13/4.61 tff(23560,plain,
% 5.13/4.61 (always3(s128)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5436, 23554])).
% 5.13/4.61 tff(23561,plain,
% 5.13/4.61 (~m_main_v_state(s128, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19041, 145, 23560])).
% 5.13/4.61 tff(23562,plain,
% 5.13/4.61 (m_main_v_state(s127, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19138, 188, 23555])).
% 5.13/4.61 tff(23563,plain,
% 5.13/4.61 (~m_main_v_request(s127)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19147, 23562, 23561])).
% 5.13/4.61 tff(23564,plain,
% 5.13/4.61 (~node4(s127)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19151, 63, 23563])).
% 5.13/4.61 tff(23565,plain,
% 5.13/4.61 (xuntil2p8(s127) | (~until2p7(s127))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9564, 8293, 23564])).
% 5.13/4.61 tff(23566,plain,
% 5.13/4.61 (xuntil2p8(s127)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23565, 23559])).
% 5.13/4.61 tff(23567,plain,
% 5.13/4.61 (until2p7(s128)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9558, 23566])).
% 5.13/4.61 tff(23568,plain,
% 5.13/4.61 (always3(s129)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5412, 23560])).
% 5.13/4.61 tff(23569,plain,
% 5.13/4.61 (~m_main_v_state(s129, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19018, 145, 23568])).
% 5.13/4.61 tff(23570,plain,
% 5.13/4.61 (~node4(s128)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19047, 23569])).
% 5.13/4.61 tff(23571,plain,
% 5.13/4.61 (xuntil2p8(s128) | (~until2p7(s128))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9552, 8293, 23570])).
% 5.13/4.61 tff(23572,plain,
% 5.13/4.61 (xuntil2p8(s128)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23571, 23567])).
% 5.13/4.61 tff(23573,plain,
% 5.13/4.61 (until2p7(s129)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9546, 23572])).
% 5.13/4.61 tff(23574,plain,
% 5.13/4.61 (always3(s130)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5383, 23568])).
% 5.13/4.61 tff(23575,plain,
% 5.13/4.61 (~m_main_v_state(s130, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18948, 145, 23574])).
% 5.13/4.61 tff(23576,plain,
% 5.13/4.61 (m_main_v_state(s129, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19053, 188, 23569])).
% 5.13/4.61 tff(23577,plain,
% 5.13/4.61 (~m_main_v_request(s129)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19062, 23576, 23575])).
% 5.13/4.61 tff(23578,plain,
% 5.13/4.61 (~node4(s129)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19066, 63, 23577])).
% 5.13/4.61 tff(23579,plain,
% 5.13/4.61 (xuntil2p8(s129) | (~until2p7(s129))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9540, 8293, 23578])).
% 5.13/4.61 tff(23580,plain,
% 5.13/4.61 (xuntil2p8(s129)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23579, 23573])).
% 5.13/4.61 tff(23581,plain,
% 5.13/4.61 (until2p7(s130)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9534, 23580])).
% 5.13/4.61 tff(23582,plain,
% 5.13/4.61 (always3(s131)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5354, 23574])).
% 5.13/4.61 tff(23583,plain,
% 5.13/4.61 (~m_main_v_state(s131, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18925, 145, 23582])).
% 5.13/4.61 tff(23584,plain,
% 5.13/4.61 (~node4(s130)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18954, 23583])).
% 5.13/4.61 tff(23585,plain,
% 5.13/4.61 (xuntil2p8(s130) | (~until2p7(s130))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9528, 8293, 23584])).
% 5.13/4.61 tff(23586,plain,
% 5.13/4.61 (xuntil2p8(s130)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23585, 23581])).
% 5.13/4.61 tff(23587,plain,
% 5.13/4.61 (until2p7(s131)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9522, 23586])).
% 5.13/4.61 tff(23588,plain,
% 5.13/4.61 (always3(s132)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5325, 23582])).
% 5.13/4.61 tff(23589,plain,
% 5.13/4.61 (~m_main_v_state(s132, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18867, 145, 23588])).
% 5.13/4.61 tff(23590,plain,
% 5.13/4.61 (m_main_v_state(s131, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18959, 188, 23583])).
% 5.13/4.61 tff(23591,plain,
% 5.13/4.61 (~m_main_v_request(s131)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18968, 23590, 23589])).
% 5.13/4.61 tff(23592,plain,
% 5.13/4.61 (~node4(s131)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18972, 63, 23591])).
% 5.13/4.61 tff(23593,plain,
% 5.13/4.61 (xuntil2p8(s131) | (~until2p7(s131))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9516, 8293, 23592])).
% 5.13/4.61 tff(23594,plain,
% 5.13/4.61 (xuntil2p8(s131)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23593, 23587])).
% 5.13/4.61 tff(23595,plain,
% 5.13/4.61 (until2p7(s132)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9510, 23594])).
% 5.13/4.61 tff(23596,plain,
% 5.13/4.61 (always3(s133)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5296, 23588])).
% 5.13/4.61 tff(23597,plain,
% 5.13/4.61 (~m_main_v_state(s133, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18860, 145, 23596])).
% 5.13/4.61 tff(23598,assumption,(node1(s131)), introduced(assumption)).
% 5.13/4.61 tff(23599,plain,
% 5.13/4.61 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s131, c_ready) | (~node1(s131)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s131, c_ready) | (~node1(s131)))),
% 5.13/4.61 inference(rewrite,[status(thm)],[])).
% 5.13/4.61 tff(23600,plain,
% 5.13/4.61 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s131, c_ready) | (~node1(s131)))),
% 5.13/4.61 inference(quant_inst,[status(thm)],[])).
% 5.13/4.61 tff(23601,plain,
% 5.13/4.61 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s131, c_ready) | (~node1(s131))),
% 5.13/4.61 inference(modus_ponens,[status(thm)],[23600, 23599])).
% 5.13/4.61 tff(23602,plain,
% 5.13/4.61 (m_main_v_state(s131, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23601, 2265, 23598])).
% 5.13/4.61 tff(23603,plain,
% 5.13/4.61 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s131) | (~node1(s131)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s131) | (~node1(s131)))),
% 5.13/4.61 inference(rewrite,[status(thm)],[])).
% 5.13/4.61 tff(23604,plain,
% 5.13/4.61 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s131) | (~node1(s131)))),
% 5.13/4.61 inference(quant_inst,[status(thm)],[])).
% 5.13/4.61 tff(23605,plain,
% 5.13/4.61 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s131) | (~node1(s131))),
% 5.13/4.61 inference(modus_ponens,[status(thm)],[23604, 23603])).
% 5.13/4.61 tff(23606,plain,
% 5.13/4.61 (m_main_v_request(s131)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23605, 2276, 23598])).
% 5.13/4.61 tff(23607,plain,
% 5.13/4.61 ($false),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[18968, 23606, 23602, 18956])).
% 5.13/4.61 tff(23608,plain,((~node1(s131)) | m_main_v_state(s132, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.61 tff(23609,plain,
% 5.13/4.61 (~node1(s131)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23608, 23589])).
% 5.13/4.61 tff(23610,plain,
% 5.13/4.61 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s131, s132)) | m_main_v_state(s132, c_busy) | node1(s131) | m_main_v_state(s132, 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(s131, s132)) | m_main_v_state(s132, c_busy) | node1(s131) | m_main_v_state(s132, c_ready))),
% 5.13/4.61 inference(rewrite,[status(thm)],[])).
% 5.13/4.61 tff(23611,plain,
% 5.13/4.61 ((node1(s131) | m_main_v_state(s132, c_ready) | (~node2(s131, s132)) | m_main_v_state(s132, c_busy)) <=> ((~node2(s131, s132)) | m_main_v_state(s132, c_busy) | node1(s131) | m_main_v_state(s132, c_ready))),
% 5.13/4.61 inference(rewrite,[status(thm)],[])).
% 5.13/4.61 tff(23612,plain,
% 5.13/4.61 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s131) | m_main_v_state(s132, c_ready) | (~node2(s131, s132)) | m_main_v_state(s132, 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(s131, s132)) | m_main_v_state(s132, c_busy) | node1(s131) | m_main_v_state(s132, c_ready)))),
% 5.13/4.61 inference(monotonicity,[status(thm)],[23611])).
% 5.13/4.61 tff(23613,plain,
% 5.13/4.61 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s131) | m_main_v_state(s132, c_ready) | (~node2(s131, s132)) | m_main_v_state(s132, 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(s131, s132)) | m_main_v_state(s132, c_busy) | node1(s131) | m_main_v_state(s132, c_ready))),
% 5.13/4.61 inference(transitivity,[status(thm)],[23612, 23610])).
% 5.13/4.61 tff(23614,plain,
% 5.13/4.61 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s131) | m_main_v_state(s132, c_ready) | (~node2(s131, s132)) | m_main_v_state(s132, c_busy))),
% 5.13/4.61 inference(quant_inst,[status(thm)],[])).
% 5.13/4.61 tff(23615,plain,
% 5.13/4.61 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s131, s132)) | m_main_v_state(s132, c_busy) | node1(s131) | m_main_v_state(s132, c_ready)),
% 5.13/4.61 inference(modus_ponens,[status(thm)],[23614, 23613])).
% 5.13/4.61 tff(23616,plain,
% 5.13/4.61 (m_main_v_state(s132, c_busy) | node1(s131) | m_main_v_state(s132, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23615, 2250, 18964])).
% 5.13/4.61 tff(23617,plain,
% 5.13/4.61 (m_main_v_state(s132, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23616, 23609, 23589])).
% 5.13/4.61 tff(23618,plain,
% 5.13/4.61 (~m_main_v_request(s132)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19276, 23617, 23597])).
% 5.13/4.61 tff(23619,plain,
% 5.13/4.61 (~node4(s132)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19267, 63, 23618])).
% 5.13/4.61 tff(23620,plain,
% 5.13/4.61 (xuntil2p8(s132) | (~until2p7(s132))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9504, 8293, 23619])).
% 5.13/4.61 tff(23621,plain,
% 5.13/4.61 (xuntil2p8(s132)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23620, 23595])).
% 5.13/4.61 tff(23622,plain,
% 5.13/4.61 (until2p7(s133)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9498, 23621])).
% 5.13/4.61 tff(23623,plain,
% 5.13/4.61 (always3(s134)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5267, 23596])).
% 5.13/4.61 tff(23624,plain,
% 5.13/4.61 (~m_main_v_state(s134, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19548, 145, 23623])).
% 5.13/4.61 tff(23625,plain,
% 5.13/4.61 (m_main_v_state(s133, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19822, 188, 23597])).
% 5.13/4.61 tff(23626,plain,
% 5.13/4.61 (~m_main_v_request(s133)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19831, 23625, 23624])).
% 5.13/4.61 tff(23627,plain,
% 5.13/4.61 (~node4(s133)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19835, 63, 23626])).
% 5.13/4.61 tff(23628,plain,
% 5.13/4.61 (xuntil2p8(s133) | (~until2p7(s133))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9492, 8293, 23627])).
% 5.13/4.61 tff(23629,plain,
% 5.13/4.61 (xuntil2p8(s133)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23628, 23622])).
% 5.13/4.61 tff(23630,plain,
% 5.13/4.61 (until2p7(s134)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9486, 23629])).
% 5.13/4.61 tff(23631,plain,
% 5.13/4.61 (always3(s135)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5238, 23623])).
% 5.13/4.61 tff(23632,plain,
% 5.13/4.61 (~m_main_v_state(s135, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19541, 145, 23631])).
% 5.13/4.61 tff(23633,plain,
% 5.13/4.61 (m_main_v_state(s134, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19552, 188, 23624])).
% 5.13/4.61 tff(23634,plain,
% 5.13/4.61 (~m_main_v_request(s134)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19561, 23633, 23632])).
% 5.13/4.61 tff(23635,plain,
% 5.13/4.61 (~node4(s134)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[19565, 63, 23634])).
% 5.13/4.61 tff(23636,plain,
% 5.13/4.61 (xuntil2p8(s134) | (~until2p7(s134))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9480, 8293, 23635])).
% 5.13/4.61 tff(23637,plain,
% 5.13/4.61 (xuntil2p8(s134)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23636, 23630])).
% 5.13/4.61 tff(23638,plain,
% 5.13/4.61 (until2p7(s135)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9474, 23637])).
% 5.13/4.61 tff(23639,plain,
% 5.13/4.61 (always3(s136)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5209, 23631])).
% 5.13/4.61 tff(23640,plain,
% 5.13/4.61 (~m_main_v_state(s136, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20158, 145, 23639])).
% 5.13/4.61 tff(23641,plain,
% 5.13/4.61 (m_main_v_state(s135, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20198, 188, 23632])).
% 5.13/4.61 tff(23642,plain,
% 5.13/4.61 (~m_main_v_request(s135)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20192, 23641, 23640])).
% 5.13/4.61 tff(23643,plain,
% 5.13/4.61 (~node4(s135)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20183, 63, 23642])).
% 5.13/4.61 tff(23644,plain,
% 5.13/4.61 (xuntil2p8(s135) | (~until2p7(s135))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9468, 8293, 23643])).
% 5.13/4.61 tff(23645,plain,
% 5.13/4.61 (xuntil2p8(s135)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23644, 23638])).
% 5.13/4.61 tff(23646,plain,
% 5.13/4.61 (until2p7(s136)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9462, 23645])).
% 5.13/4.61 tff(23647,plain,
% 5.13/4.61 (always3(s137)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5180, 23639])).
% 5.13/4.61 tff(23648,plain,
% 5.13/4.61 (~m_main_v_state(s137, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20134, 145, 23647])).
% 5.13/4.61 tff(23649,plain,
% 5.13/4.61 (m_main_v_state(s136, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20163, 188, 23640])).
% 5.13/4.61 tff(23650,plain,
% 5.13/4.61 (~m_main_v_request(s136)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20172, 23649, 23648])).
% 5.13/4.61 tff(23651,plain,
% 5.13/4.61 (~node4(s136)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20176, 63, 23650])).
% 5.13/4.61 tff(23652,plain,
% 5.13/4.61 (xuntil2p8(s136) | (~until2p7(s136))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9456, 8293, 23651])).
% 5.13/4.61 tff(23653,plain,
% 5.13/4.61 (xuntil2p8(s136)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23652, 23646])).
% 5.13/4.61 tff(23654,plain,
% 5.13/4.61 (until2p7(s137)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9450, 23653])).
% 5.13/4.61 tff(23655,plain,
% 5.13/4.61 (always3(s138)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5151, 23647])).
% 5.13/4.61 tff(23656,plain,
% 5.13/4.61 (~m_main_v_state(s138, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20127, 145, 23655])).
% 5.13/4.61 tff(23657,plain,
% 5.13/4.61 (m_main_v_state(s137, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20138, 188, 23648])).
% 5.13/4.61 tff(23658,plain,
% 5.13/4.61 (~m_main_v_request(s137)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20215, 23657, 23656])).
% 5.13/4.61 tff(23659,plain,
% 5.13/4.61 (~node4(s137)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20206, 63, 23658])).
% 5.13/4.61 tff(23660,plain,
% 5.13/4.61 (xuntil2p8(s137) | (~until2p7(s137))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9444, 8293, 23659])).
% 5.13/4.61 tff(23661,plain,
% 5.13/4.61 (xuntil2p8(s137)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23660, 23654])).
% 5.13/4.61 tff(23662,plain,
% 5.13/4.61 (until2p7(s138)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9438, 23661])).
% 5.13/4.61 tff(23663,plain,
% 5.13/4.61 (always3(s139)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5122, 23655])).
% 5.13/4.61 tff(23664,plain,
% 5.13/4.61 (~m_main_v_state(s139, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20560, 145, 23663])).
% 5.13/4.61 tff(23665,plain,
% 5.13/4.61 (m_main_v_state(s138, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20600, 188, 23656])).
% 5.13/4.61 tff(23666,plain,
% 5.13/4.61 (~m_main_v_request(s138)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20594, 23665, 23664])).
% 5.13/4.61 tff(23667,plain,
% 5.13/4.61 (~node4(s138)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20585, 63, 23666])).
% 5.13/4.61 tff(23668,plain,
% 5.13/4.61 (xuntil2p8(s138) | (~until2p7(s138))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9432, 8293, 23667])).
% 5.13/4.61 tff(23669,plain,
% 5.13/4.61 (xuntil2p8(s138)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23668, 23662])).
% 5.13/4.61 tff(23670,plain,
% 5.13/4.61 (until2p7(s139)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9426, 23669])).
% 5.13/4.61 tff(23671,plain,
% 5.13/4.61 (always3(s140)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5093, 23663])).
% 5.13/4.61 tff(23672,plain,
% 5.13/4.61 (~m_main_v_state(s140, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20534, 145, 23671])).
% 5.13/4.61 tff(23673,plain,
% 5.13/4.61 (m_main_v_state(s139, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20565, 188, 23664])).
% 5.13/4.61 tff(23674,plain,
% 5.13/4.61 (~m_main_v_request(s139)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20574, 23673, 23672])).
% 5.13/4.61 tff(23675,plain,
% 5.13/4.61 (~node4(s139)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20578, 63, 23674])).
% 5.13/4.61 tff(23676,plain,
% 5.13/4.61 (xuntil2p8(s139) | (~until2p7(s139))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9420, 8293, 23675])).
% 5.13/4.61 tff(23677,plain,
% 5.13/4.61 (xuntil2p8(s139)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23676, 23670])).
% 5.13/4.61 tff(23678,plain,
% 5.13/4.61 (until2p7(s140)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9414, 23677])).
% 5.13/4.61 tff(23679,assumption,(~m_main_v_state(s140, c_ready)), introduced(assumption)).
% 5.13/4.61 tff(23680,plain,
% 5.13/4.61 ($false),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20538, 188, 20562, 23679])).
% 5.13/4.61 tff(23681,plain,(m_main_v_state(s140, c_ready) | m_main_v_state(s140, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.61 tff(23682,plain,
% 5.13/4.61 (m_main_v_state(s140, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23681, 23672])).
% 5.13/4.61 tff(23683,plain,
% 5.13/4.61 (always3(s141)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5064, 23671])).
% 5.13/4.61 tff(23684,plain,
% 5.13/4.61 (~m_main_v_state(s141, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20511, 145, 23683])).
% 5.13/4.61 tff(23685,plain,
% 5.13/4.61 (~m_main_v_request(s140)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20527, 23684, 23682])).
% 5.13/4.61 tff(23686,plain,
% 5.13/4.61 (~node4(s140)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20518, 63, 23685])).
% 5.13/4.61 tff(23687,plain,
% 5.13/4.61 (xuntil2p8(s140) | (~until2p7(s140))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9408, 8293, 23686])).
% 5.13/4.61 tff(23688,plain,
% 5.13/4.61 (xuntil2p8(s140)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23687, 23678])).
% 5.13/4.61 tff(23689,plain,
% 5.13/4.61 (until2p7(s141)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9402, 23688])).
% 5.13/4.61 tff(23690,plain,
% 5.13/4.61 (always3(s142)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5035, 23683])).
% 5.13/4.61 tff(23691,plain,
% 5.13/4.61 (~m_main_v_state(s142, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20931, 145, 23690])).
% 5.13/4.61 tff(23692,plain,
% 5.13/4.61 (~node4(s141)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20964, 23691])).
% 5.13/4.61 tff(23693,plain,
% 5.13/4.61 (xuntil2p8(s141) | (~until2p7(s141))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9396, 8293, 23692])).
% 5.13/4.61 tff(23694,plain,
% 5.13/4.61 (xuntil2p8(s141)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23693, 23689])).
% 5.13/4.61 tff(23695,plain,
% 5.13/4.61 (until2p7(s142)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9390, 23694])).
% 5.13/4.61 tff(23696,plain,
% 5.13/4.61 (always3(s143)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[5006, 23690])).
% 5.13/4.61 tff(23697,plain,
% 5.13/4.61 (~m_main_v_state(s143, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20908, 145, 23696])).
% 5.13/4.61 tff(23698,plain,
% 5.13/4.61 (m_main_v_state(s142, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20935, 188, 23691])).
% 5.13/4.61 tff(23699,plain,
% 5.13/4.61 (~m_main_v_request(s142)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20924, 23698, 23697])).
% 5.13/4.61 tff(23700,plain,
% 5.13/4.61 (~node4(s142)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20915, 63, 23699])).
% 5.13/4.61 tff(23701,plain,
% 5.13/4.61 (xuntil2p8(s142) | (~until2p7(s142))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9384, 8293, 23700])).
% 5.13/4.61 tff(23702,plain,
% 5.13/4.61 (xuntil2p8(s142)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23701, 23695])).
% 5.13/4.61 tff(23703,plain,
% 5.13/4.61 (until2p7(s143)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9378, 23702])).
% 5.13/4.61 tff(23704,plain,
% 5.13/4.61 (always3(s144)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4968, 23696])).
% 5.13/4.61 tff(23705,plain,
% 5.13/4.61 (~m_main_v_state(s144, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20976, 145, 23704])).
% 5.13/4.61 tff(23706,assumption,(~m_main_v_state(s143, c_busy)), introduced(assumption)).
% 5.13/4.61 tff(23707,assumption,(node1(s142)), introduced(assumption)).
% 5.13/4.61 tff(23708,plain,
% 5.13/4.61 (((~![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)))),
% 5.13/4.61 inference(rewrite,[status(thm)],[])).
% 5.13/4.61 tff(23709,plain,
% 5.13/4.61 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s142, c_ready) | (~node1(s142)))),
% 5.13/4.61 inference(quant_inst,[status(thm)],[])).
% 5.13/4.61 tff(23710,plain,
% 5.13/4.61 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s142, c_ready) | (~node1(s142))),
% 5.13/4.61 inference(modus_ponens,[status(thm)],[23709, 23708])).
% 5.13/4.61 tff(23711,plain,
% 5.13/4.61 (m_main_v_state(s142, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23710, 2265, 23707])).
% 5.13/4.61 tff(23712,plain,
% 5.13/4.61 (((~![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)))),
% 5.13/4.61 inference(rewrite,[status(thm)],[])).
% 5.13/4.61 tff(23713,plain,
% 5.13/4.61 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s142) | (~node1(s142)))),
% 5.13/4.61 inference(quant_inst,[status(thm)],[])).
% 5.13/4.61 tff(23714,plain,
% 5.13/4.61 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s142) | (~node1(s142))),
% 5.13/4.61 inference(modus_ponens,[status(thm)],[23713, 23712])).
% 5.13/4.61 tff(23715,plain,
% 5.13/4.61 (m_main_v_request(s142)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23714, 2276, 23707])).
% 5.13/4.61 tff(23716,plain,
% 5.13/4.61 ($false),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20924, 23715, 23711, 23706])).
% 5.13/4.61 tff(23717,plain,((~node1(s142)) | m_main_v_state(s143, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.61 tff(23718,plain,
% 5.13/4.61 (~node1(s142)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23717, 23697])).
% 5.13/4.61 tff(23719,plain,
% 5.13/4.61 (((~![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))),
% 5.13/4.61 inference(rewrite,[status(thm)],[])).
% 5.13/4.61 tff(23720,plain,
% 5.13/4.61 ((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))),
% 5.13/4.61 inference(rewrite,[status(thm)],[])).
% 5.13/4.61 tff(23721,plain,
% 5.13/4.61 (((~![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)))),
% 5.13/4.61 inference(monotonicity,[status(thm)],[23720])).
% 5.13/4.61 tff(23722,plain,
% 5.13/4.61 (((~![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))),
% 5.13/4.61 inference(transitivity,[status(thm)],[23721, 23719])).
% 5.13/4.61 tff(23723,plain,
% 5.13/4.61 ((~![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))),
% 5.13/4.61 inference(quant_inst,[status(thm)],[])).
% 5.13/4.61 tff(23724,plain,
% 5.13/4.61 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s142, s143)) | m_main_v_state(s143, c_busy) | node1(s142) | m_main_v_state(s143, c_ready)),
% 5.13/4.61 inference(modus_ponens,[status(thm)],[23723, 23722])).
% 5.13/4.61 tff(23725,plain,
% 5.13/4.61 (m_main_v_state(s143, c_busy) | node1(s142) | m_main_v_state(s143, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23724, 2250, 20920])).
% 5.13/4.61 tff(23726,plain,
% 5.13/4.61 (m_main_v_state(s143, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23725, 23697, 23718])).
% 5.13/4.61 tff(23727,plain,
% 5.13/4.61 (~m_main_v_request(s143)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[21017, 23726, 23705])).
% 5.13/4.61 tff(23728,plain,
% 5.13/4.61 (~node4(s143)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[21008, 63, 23727])).
% 5.13/4.61 tff(23729,plain,
% 5.13/4.61 (xuntil2p8(s143) | (~until2p7(s143))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9372, 8293, 23728])).
% 5.13/4.61 tff(23730,plain,
% 5.13/4.61 (xuntil2p8(s143)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23729, 23703])).
% 5.13/4.61 tff(23731,plain,
% 5.13/4.61 (until2p7(s144)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9366, 23730])).
% 5.13/4.61 tff(23732,plain,
% 5.13/4.61 (always3(s145)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4334, 23704])).
% 5.13/4.61 tff(23733,plain,
% 5.13/4.61 (~m_main_v_state(s145, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20984, 145, 23732])).
% 5.13/4.61 tff(23734,assumption,(~m_main_v_state(s144, c_ready)), introduced(assumption)).
% 5.13/4.61 tff(23735,assumption,(~m_main_v_state(s144, c_busy)), introduced(assumption)).
% 5.13/4.61 tff(23736,plain,
% 5.13/4.61 ($false),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20988, 188, 23735, 23734])).
% 5.13/4.61 tff(23737,plain,(m_main_v_state(s144, c_ready) | m_main_v_state(s144, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.61 tff(23738,plain,
% 5.13/4.61 (m_main_v_state(s144, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23737, 23705])).
% 5.13/4.61 tff(23739,plain,
% 5.13/4.61 (~m_main_v_request(s144)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20997, 23738, 23733])).
% 5.13/4.61 tff(23740,plain,
% 5.13/4.61 (~node4(s144)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[21001, 63, 23739])).
% 5.13/4.61 tff(23741,plain,
% 5.13/4.61 (xuntil2p8(s144) | (~until2p7(s144))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9360, 8293, 23740])).
% 5.13/4.61 tff(23742,plain,
% 5.13/4.61 (xuntil2p8(s144)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23741, 23731])).
% 5.13/4.61 tff(23743,plain,
% 5.13/4.61 (until2p7(s145)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9354, 23742])).
% 5.13/4.61 tff(23744,assumption,(node4(s145)), introduced(assumption)).
% 5.13/4.61 tff(23745,plain,
% 5.13/4.61 (m_main_v_request(s145)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[21963, 63, 23744])).
% 5.13/4.61 tff(23746,plain,
% 5.13/4.61 (always3(s145)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4929, 113, 23744])).
% 5.13/4.61 tff(23747,plain,
% 5.13/4.61 (always3(s146)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4322, 23746])).
% 5.13/4.61 tff(23748,plain,
% 5.13/4.61 (~m_main_v_state(s146, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4907, 145, 23747])).
% 5.13/4.61 tff(23749,plain,
% 5.13/4.61 (~m_main_v_state(s145, c_busy)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20984, 145, 23746])).
% 5.13/4.61 tff(23750,assumption,(~m_main_v_state(s145, c_busy)), introduced(assumption)).
% 5.13/4.61 tff(23751,assumption,(~m_main_v_state(s145, c_ready)), introduced(assumption)).
% 5.13/4.61 tff(23752,plain,
% 5.13/4.61 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s144, s145)) | m_main_v_state(s145, c_busy) | node1(s144) | m_main_v_state(s145, 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(s144, s145)) | m_main_v_state(s145, c_busy) | node1(s144) | m_main_v_state(s145, c_ready))),
% 5.13/4.61 inference(rewrite,[status(thm)],[])).
% 5.13/4.61 tff(23753,plain,
% 5.13/4.61 ((node1(s144) | m_main_v_state(s145, c_ready) | (~node2(s144, s145)) | m_main_v_state(s145, c_busy)) <=> ((~node2(s144, s145)) | m_main_v_state(s145, c_busy) | node1(s144) | m_main_v_state(s145, c_ready))),
% 5.13/4.61 inference(rewrite,[status(thm)],[])).
% 5.13/4.61 tff(23754,plain,
% 5.13/4.61 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s144) | m_main_v_state(s145, c_ready) | (~node2(s144, s145)) | m_main_v_state(s145, 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(s144, s145)) | m_main_v_state(s145, c_busy) | node1(s144) | m_main_v_state(s145, c_ready)))),
% 5.13/4.61 inference(monotonicity,[status(thm)],[23753])).
% 5.13/4.61 tff(23755,plain,
% 5.13/4.61 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s144) | m_main_v_state(s145, c_ready) | (~node2(s144, s145)) | m_main_v_state(s145, 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(s144, s145)) | m_main_v_state(s145, c_busy) | node1(s144) | m_main_v_state(s145, c_ready))),
% 5.13/4.61 inference(transitivity,[status(thm)],[23754, 23752])).
% 5.13/4.61 tff(23756,plain,
% 5.13/4.61 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s144) | m_main_v_state(s145, c_ready) | (~node2(s144, s145)) | m_main_v_state(s145, c_busy))),
% 5.13/4.61 inference(quant_inst,[status(thm)],[])).
% 5.13/4.61 tff(23757,plain,
% 5.13/4.61 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s144, s145)) | m_main_v_state(s145, c_busy) | node1(s144) | m_main_v_state(s145, c_ready)),
% 5.13/4.61 inference(modus_ponens,[status(thm)],[23756, 23755])).
% 5.13/4.61 tff(23758,plain,
% 5.13/4.61 (m_main_v_state(s145, c_busy) | node1(s144) | m_main_v_state(s145, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23757, 2250, 20993])).
% 5.13/4.61 tff(23759,plain,
% 5.13/4.61 (node1(s144)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23758, 23750, 23751])).
% 5.13/4.61 tff(23760,plain,
% 5.13/4.61 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s144, c_ready) | (~node1(s144)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s144, c_ready) | (~node1(s144)))),
% 5.13/4.61 inference(rewrite,[status(thm)],[])).
% 5.13/4.61 tff(23761,plain,
% 5.13/4.61 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s144, c_ready) | (~node1(s144)))),
% 5.13/4.61 inference(quant_inst,[status(thm)],[])).
% 5.13/4.61 tff(23762,plain,
% 5.13/4.61 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s144, c_ready) | (~node1(s144))),
% 5.13/4.61 inference(modus_ponens,[status(thm)],[23761, 23760])).
% 5.13/4.61 tff(23763,plain,
% 5.13/4.61 (m_main_v_state(s144, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23762, 2265, 23759])).
% 5.13/4.61 tff(23764,plain,
% 5.13/4.61 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s144) | (~node1(s144)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s144) | (~node1(s144)))),
% 5.13/4.61 inference(rewrite,[status(thm)],[])).
% 5.13/4.61 tff(23765,plain,
% 5.13/4.61 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s144) | (~node1(s144)))),
% 5.13/4.61 inference(quant_inst,[status(thm)],[])).
% 5.13/4.61 tff(23766,plain,
% 5.13/4.61 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s144) | (~node1(s144))),
% 5.13/4.61 inference(modus_ponens,[status(thm)],[23765, 23764])).
% 5.13/4.61 tff(23767,plain,
% 5.13/4.61 (m_main_v_request(s144)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23766, 2276, 23759])).
% 5.13/4.61 tff(23768,plain,
% 5.13/4.61 ($false),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[20997, 23767, 23763, 23750])).
% 5.13/4.61 tff(23769,plain,(m_main_v_state(s145, c_busy) | m_main_v_state(s145, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.61 tff(23770,plain,
% 5.13/4.61 (m_main_v_state(s145, c_ready)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23769, 23749])).
% 5.13/4.61 tff(23771,plain,
% 5.13/4.61 ($false),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[21959, 23770, 23748, 23745])).
% 5.13/4.61 tff(23772,plain,(~node4(s145)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.61 tff(23773,plain,
% 5.13/4.61 (xuntil2p8(s145) | (~until2p7(s145))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9348, 8293, 23772])).
% 5.13/4.61 tff(23774,plain,
% 5.13/4.61 (xuntil2p8(s145)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23773, 23743])).
% 5.13/4.61 tff(23775,plain,
% 5.13/4.61 (until2p7(s146)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9341, 23774])).
% 5.13/4.61 tff(23776,plain,
% 5.13/4.61 (xuntil2p8(s146)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9336, 23775])).
% 5.13/4.61 tff(23777,plain,
% 5.13/4.61 (until2p7(s147)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9331, 23776])).
% 5.13/4.61 tff(23778,plain,
% 5.13/4.61 (xuntil2p8(s147) | (~until2p7(s147))),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9325, 8293, 21354])).
% 5.13/4.61 tff(23779,plain,
% 5.13/4.61 (xuntil2p8(s147)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[23778, 23777])).
% 5.13/4.61 tff(23780,plain,
% 5.13/4.61 (until2p7(s148)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[9318, 23779])).
% 5.13/4.61 tff(23781,plain,
% 5.13/4.61 (always3(s146)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4322, 23732])).
% 5.13/4.61 tff(23782,plain,
% 5.13/4.61 (always3(s147)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4310, 23781])).
% 5.13/4.61 tff(23783,plain,
% 5.13/4.61 (always3(s148)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4298, 23782])).
% 5.13/4.61 tff(23784,plain,
% 5.13/4.61 (always3(s149)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4286, 23783])).
% 5.13/4.61 tff(23785,plain,
% 5.13/4.61 (always3(s150)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4274, 23784])).
% 5.13/4.61 tff(23786,plain,
% 5.13/4.61 (always3(s151)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4262, 23785])).
% 5.13/4.61 tff(23787,plain,
% 5.13/4.61 (always3(s152)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4250, 23786])).
% 5.13/4.61 tff(23788,plain,
% 5.13/4.61 (always3(s153)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4238, 23787])).
% 5.13/4.61 tff(23789,plain,
% 5.13/4.61 (always3(s154)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4226, 23788])).
% 5.13/4.61 tff(23790,plain,
% 5.13/4.61 (always3(s155)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4214, 23789])).
% 5.13/4.61 tff(23791,plain,
% 5.13/4.61 (always3(s156)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4202, 23790])).
% 5.13/4.61 tff(23792,plain,
% 5.13/4.61 (always3(s157)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4190, 23791])).
% 5.13/4.61 tff(23793,plain,
% 5.13/4.61 (always3(s158)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4178, 23792])).
% 5.13/4.61 tff(23794,plain,
% 5.13/4.61 (always3(s159)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4166, 23793])).
% 5.13/4.61 tff(23795,plain,
% 5.13/4.61 (always3(s160)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4154, 23794])).
% 5.13/4.61 tff(23796,plain,
% 5.13/4.61 (always3(s161)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4142, 23795])).
% 5.13/4.61 tff(23797,plain,
% 5.13/4.61 (always3(s162)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4130, 23796])).
% 5.13/4.61 tff(23798,plain,
% 5.13/4.61 (always3(s163)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4118, 23797])).
% 5.13/4.61 tff(23799,plain,
% 5.13/4.61 (always3(s164)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4106, 23798])).
% 5.13/4.61 tff(23800,plain,
% 5.13/4.61 (always3(s165)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4094, 23799])).
% 5.13/4.61 tff(23801,plain,
% 5.13/4.61 (always3(s166)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4082, 23800])).
% 5.13/4.61 tff(23802,plain,
% 5.13/4.61 (always3(s167)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4070, 23801])).
% 5.13/4.61 tff(23803,plain,
% 5.13/4.61 (always3(s168)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4058, 23802])).
% 5.13/4.61 tff(23804,plain,
% 5.13/4.61 (always3(s169)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4046, 23803])).
% 5.13/4.61 tff(23805,plain,
% 5.13/4.61 (always3(s170)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4034, 23804])).
% 5.13/4.61 tff(23806,plain,
% 5.13/4.61 (always3(s171)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4022, 23805])).
% 5.13/4.61 tff(23807,plain,
% 5.13/4.61 (always3(s172)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[4010, 23806])).
% 5.13/4.61 tff(23808,plain,
% 5.13/4.61 (always3(s173)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3998, 23807])).
% 5.13/4.61 tff(23809,plain,
% 5.13/4.61 (always3(s174)),
% 5.13/4.61 inference(unit_resolution,[status(thm)],[3986, 23808])).
% 5.13/4.61 tff(23810,plain,
% 5.13/4.62 (always3(s175)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[3973, 23809])).
% 5.13/4.62 tff(23811,plain,
% 5.13/4.62 (always3(s176)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[3961, 23810])).
% 5.13/4.62 tff(23812,plain,
% 5.13/4.62 (always3(s177)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[3949, 23811])).
% 5.13/4.62 tff(23813,plain,
% 5.13/4.62 (always3(s178)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[3937, 23812])).
% 5.13/4.62 tff(23814,plain,
% 5.13/4.62 (always3(s179)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[3925, 23813])).
% 5.13/4.62 tff(23815,plain,
% 5.13/4.62 (always3(s180)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[3913, 23814])).
% 5.13/4.62 tff(23816,plain,
% 5.13/4.62 (always3(s181)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[3901, 23815])).
% 5.13/4.62 tff(23817,plain,
% 5.13/4.62 (~m_main_v_state(s181, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23041, 145, 23816])).
% 5.13/4.62 tff(23818,plain,
% 5.13/4.62 (~m_main_v_state(s180, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23086, 145, 23815])).
% 5.13/4.62 tff(23819,plain,
% 5.13/4.62 (m_main_v_state(s180, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23090, 188, 23818])).
% 5.13/4.62 tff(23820,plain,
% 5.13/4.62 (~m_main_v_request(s180)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23079, 23819, 23817])).
% 5.13/4.62 tff(23821,plain,
% 5.13/4.62 (~node4(s180)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23070, 63, 23820])).
% 5.13/4.62 tff(23822,plain,
% 5.13/4.62 (always3(s182)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[3885, 23816])).
% 5.13/4.62 tff(23823,plain,
% 5.13/4.62 (~m_main_v_state(s182, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8159, 145, 23822])).
% 5.13/4.62 tff(23824,plain,
% 5.13/4.62 (m_main_v_state(s181, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23045, 188, 23817])).
% 5.13/4.62 tff(23825,plain,
% 5.13/4.62 (~m_main_v_request(s181)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23054, 23824, 23823])).
% 5.13/4.62 tff(23826,plain,
% 5.13/4.62 (~node4(s181)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23058, 63, 23825])).
% 5.13/4.62 tff(23827,plain,
% 5.13/4.62 (always3(s183)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[3873, 23822])).
% 5.13/4.62 tff(23828,plain,
% 5.13/4.62 (always3(s184)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[3857, 23827])).
% 5.13/4.62 tff(23829,plain,
% 5.13/4.62 (~m_main_v_state(s184, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8570, 145, 23828])).
% 5.13/4.62 tff(23830,plain,
% 5.13/4.62 (~m_main_v_state(s183, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8143, 145, 23827])).
% 5.13/4.62 tff(23831,assumption,(~m_main_v_state(s182, c_ready)), introduced(assumption)).
% 5.13/4.62 tff(23832,assumption,(~m_main_v_state(s182, c_busy)), introduced(assumption)).
% 5.13/4.62 tff(23833,plain,
% 5.13/4.62 ($false),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8163, 188, 23832, 23831])).
% 5.13/4.62 tff(23834,plain,(m_main_v_state(s182, c_ready) | m_main_v_state(s182, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.62 tff(23835,plain,
% 5.13/4.62 (m_main_v_state(s182, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23834, 23823])).
% 5.13/4.62 tff(23836,assumption,(~m_main_v_state(s183, c_ready)), introduced(assumption)).
% 5.13/4.62 tff(23837,assumption,(~m_main_v_state(s183, c_busy)), introduced(assumption)).
% 5.13/4.62 tff(23838,plain,
% 5.13/4.62 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s182, s183)) | m_main_v_state(s183, c_busy) | node1(s182) | m_main_v_state(s183, 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(s182, s183)) | m_main_v_state(s183, c_busy) | node1(s182) | m_main_v_state(s183, c_ready))),
% 5.13/4.62 inference(rewrite,[status(thm)],[])).
% 5.13/4.62 tff(23839,plain,
% 5.13/4.62 ((node1(s182) | m_main_v_state(s183, c_ready) | (~node2(s182, s183)) | m_main_v_state(s183, c_busy)) <=> ((~node2(s182, s183)) | m_main_v_state(s183, c_busy) | node1(s182) | m_main_v_state(s183, c_ready))),
% 5.13/4.62 inference(rewrite,[status(thm)],[])).
% 5.13/4.62 tff(23840,plain,
% 5.13/4.62 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s182) | m_main_v_state(s183, c_ready) | (~node2(s182, s183)) | m_main_v_state(s183, 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(s182, s183)) | m_main_v_state(s183, c_busy) | node1(s182) | m_main_v_state(s183, c_ready)))),
% 5.13/4.62 inference(monotonicity,[status(thm)],[23839])).
% 5.13/4.62 tff(23841,plain,
% 5.13/4.62 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s182) | m_main_v_state(s183, c_ready) | (~node2(s182, s183)) | m_main_v_state(s183, 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(s182, s183)) | m_main_v_state(s183, c_busy) | node1(s182) | m_main_v_state(s183, c_ready))),
% 5.13/4.62 inference(transitivity,[status(thm)],[23840, 23838])).
% 5.13/4.62 tff(23842,plain,
% 5.13/4.62 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s182) | m_main_v_state(s183, c_ready) | (~node2(s182, s183)) | m_main_v_state(s183, c_busy))),
% 5.13/4.62 inference(quant_inst,[status(thm)],[])).
% 5.13/4.62 tff(23843,plain,
% 5.13/4.62 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s182, s183)) | m_main_v_state(s183, c_busy) | node1(s182) | m_main_v_state(s183, c_ready)),
% 5.13/4.62 inference(modus_ponens,[status(thm)],[23842, 23841])).
% 5.13/4.62 tff(23844,plain,
% 5.13/4.62 (m_main_v_state(s183, c_busy) | node1(s182) | m_main_v_state(s183, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23843, 2250, 8148])).
% 5.13/4.62 tff(23845,plain,
% 5.13/4.62 (node1(s182)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23844, 23837, 23836])).
% 5.13/4.62 tff(23846,assumption,(m_main_v_state(s182, c_ready)), introduced(assumption)).
% 5.13/4.62 tff(23847,plain,
% 5.13/4.62 (~m_main_v_request(s182)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8152, 23837, 23846])).
% 5.13/4.62 tff(23848,plain,
% 5.13/4.62 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s182) | (~node1(s182)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s182) | (~node1(s182)))),
% 5.13/4.62 inference(rewrite,[status(thm)],[])).
% 5.13/4.62 tff(23849,plain,
% 5.13/4.62 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s182) | (~node1(s182)))),
% 5.13/4.62 inference(quant_inst,[status(thm)],[])).
% 5.13/4.62 tff(23850,plain,
% 5.13/4.62 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s182) | (~node1(s182))),
% 5.13/4.62 inference(modus_ponens,[status(thm)],[23849, 23848])).
% 5.13/4.62 tff(23851,plain,
% 5.13/4.62 ($false),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23850, 2276, 23847, 23845])).
% 5.13/4.62 tff(23852,plain,(m_main_v_state(s183, c_busy) | m_main_v_state(s183, c_ready) | (~m_main_v_state(s182, c_ready))), inference(lemma,lemma(discharge,[]))).
% 5.13/4.62 tff(23853,plain,
% 5.13/4.62 (m_main_v_state(s183, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23852, 23835, 23830])).
% 5.13/4.62 tff(23854,plain,
% 5.13/4.62 (~m_main_v_request(s183)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23248, 23853, 23829])).
% 5.13/4.62 tff(23855,plain,
% 5.13/4.62 (~node4(s183)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23239, 63, 23854])).
% 5.13/4.62 tff(23856,assumption,(~xuntil2p8(s183)), introduced(assumption)).
% 5.13/4.62 tff(23857,plain,
% 5.13/4.62 (node4(s183) | (~until2p7(s183))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8589, 8293, 23856])).
% 5.13/4.62 tff(23858,plain,
% 5.13/4.62 (~until2p7(s183)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23857, 23855])).
% 5.13/4.62 tff(23859,plain,
% 5.13/4.62 (~xuntil2p8(s182)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8595, 23858])).
% 5.13/4.62 tff(23860,plain,
% 5.13/4.62 (~until2p7(s182)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8600, 23859])).
% 5.13/4.62 tff(23861,plain,
% 5.13/4.62 (~xuntil2p8(s181)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8605, 23860])).
% 5.13/4.62 tff(23862,plain,
% 5.13/4.62 (~until2p7(s181)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8609, 8293, 23861, 23826])).
% 5.13/4.62 tff(23863,plain,
% 5.13/4.62 (~xuntil2p8(s180)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8615, 23862])).
% 5.13/4.62 tff(23864,plain,
% 5.13/4.62 (~until2p7(s180)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8620, 8293, 23863, 23821])).
% 5.13/4.62 tff(23865,plain,
% 5.13/4.62 (~xuntil2p8(s179)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8626, 23864])).
% 5.13/4.62 tff(23866,plain,
% 5.13/4.62 (~m_main_v_state(s179, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8651, 145, 23814])).
% 5.13/4.62 tff(23867,plain,
% 5.13/4.62 (m_main_v_state(s179, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23199, 188, 23866])).
% 5.13/4.62 tff(23868,plain,
% 5.13/4.62 (~m_main_v_request(s179)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23178, 23867, 23818])).
% 5.13/4.62 tff(23869,plain,
% 5.13/4.62 (~node4(s179)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23167, 63, 23868])).
% 5.13/4.62 tff(23870,plain,
% 5.13/4.62 (xuntil2p8(s179) | (~until2p7(s179))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8631, 8293, 23869])).
% 5.13/4.62 tff(23871,plain,
% 5.13/4.62 (~until2p7(s179)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23870, 23865])).
% 5.13/4.62 tff(23872,plain,
% 5.13/4.62 (~xuntil2p8(s178)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8637, 23871])).
% 5.13/4.62 tff(23873,plain,
% 5.13/4.62 (~until2p7(s178)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8677, 23872])).
% 5.13/4.62 tff(23874,plain,
% 5.13/4.62 (~xuntil2p8(s177)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8682, 23873])).
% 5.13/4.62 tff(23875,plain,
% 5.13/4.62 (~until2p7(s177)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8716, 23874])).
% 5.13/4.62 tff(23876,plain,
% 5.13/4.62 (~xuntil2p8(s176)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8721, 23875])).
% 5.13/4.62 tff(23877,plain,
% 5.13/4.62 (~m_main_v_state(s177, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8706, 145, 23812])).
% 5.13/4.62 tff(23878,plain,
% 5.13/4.62 (~m_main_v_state(s176, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23111, 145, 23811])).
% 5.13/4.62 tff(23879,plain,
% 5.13/4.62 (m_main_v_state(s176, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23117, 188, 23878])).
% 5.13/4.62 tff(23880,plain,
% 5.13/4.62 (~m_main_v_request(s176)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23126, 23879, 23877])).
% 5.13/4.62 tff(23881,plain,
% 5.13/4.62 (~node4(s176)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23130, 63, 23880])).
% 5.13/4.62 tff(23882,plain,
% 5.13/4.62 (xuntil2p8(s176) | (~until2p7(s176))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8726, 8293, 23881])).
% 5.13/4.62 tff(23883,plain,
% 5.13/4.62 (~until2p7(s176)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23882, 23876])).
% 5.13/4.62 tff(23884,plain,
% 5.13/4.62 (~xuntil2p8(s175)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8732, 23883])).
% 5.13/4.62 tff(23885,plain,
% 5.13/4.62 (~m_main_v_state(s175, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22998, 145, 23810])).
% 5.13/4.62 tff(23886,plain,
% 5.13/4.62 (m_main_v_state(s175, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23152, 188, 23885])).
% 5.13/4.62 tff(23887,plain,
% 5.13/4.62 (~m_main_v_request(s175)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23146, 23886, 23878])).
% 5.13/4.62 tff(23888,plain,
% 5.13/4.62 (~node4(s175)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23137, 63, 23887])).
% 5.13/4.62 tff(23889,plain,
% 5.13/4.62 (xuntil2p8(s175) | (~until2p7(s175))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8737, 8293, 23888])).
% 5.13/4.62 tff(23890,plain,
% 5.13/4.62 (~until2p7(s175)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23889, 23884])).
% 5.13/4.62 tff(23891,plain,
% 5.13/4.62 (~xuntil2p8(s174)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8743, 23890])).
% 5.13/4.62 tff(23892,plain,
% 5.13/4.62 (~m_main_v_state(s174, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22810, 145, 23809])).
% 5.13/4.62 tff(23893,plain,
% 5.13/4.62 (m_main_v_state(s174, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23019, 188, 23892])).
% 5.13/4.62 tff(23894,plain,
% 5.13/4.62 (~m_main_v_request(s174)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23014, 23893, 23885])).
% 5.13/4.62 tff(23895,plain,
% 5.13/4.62 (~node4(s174)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23005, 63, 23894])).
% 5.13/4.62 tff(23896,plain,
% 5.13/4.62 (xuntil2p8(s174) | (~until2p7(s174))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8748, 8293, 23895])).
% 5.13/4.62 tff(23897,plain,
% 5.13/4.62 (~until2p7(s174)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23896, 23891])).
% 5.13/4.62 tff(23898,plain,
% 5.13/4.62 (~xuntil2p8(s173)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8754, 23897])).
% 5.13/4.62 tff(23899,plain,
% 5.13/4.62 (~m_main_v_state(s173, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22801, 145, 23808])).
% 5.13/4.62 tff(23900,assumption,(~m_main_v_state(s173, c_busy)), introduced(assumption)).
% 5.13/4.62 tff(23901,assumption,(~m_main_v_state(s173, c_ready)), introduced(assumption)).
% 5.13/4.62 tff(23902,plain,
% 5.13/4.62 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s172, s173)) | m_main_v_state(s173, c_busy) | node1(s172) | m_main_v_state(s173, 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(s172, s173)) | m_main_v_state(s173, c_busy) | node1(s172) | m_main_v_state(s173, c_ready))),
% 5.13/4.62 inference(rewrite,[status(thm)],[])).
% 5.13/4.62 tff(23903,plain,
% 5.13/4.62 ((node1(s172) | m_main_v_state(s173, c_ready) | (~node2(s172, s173)) | m_main_v_state(s173, c_busy)) <=> ((~node2(s172, s173)) | m_main_v_state(s173, c_busy) | node1(s172) | m_main_v_state(s173, c_ready))),
% 5.13/4.62 inference(rewrite,[status(thm)],[])).
% 5.13/4.62 tff(23904,plain,
% 5.13/4.62 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s172) | m_main_v_state(s173, c_ready) | (~node2(s172, s173)) | m_main_v_state(s173, 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(s172, s173)) | m_main_v_state(s173, c_busy) | node1(s172) | m_main_v_state(s173, c_ready)))),
% 5.13/4.62 inference(monotonicity,[status(thm)],[23903])).
% 5.13/4.62 tff(23905,plain,
% 5.13/4.62 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s172) | m_main_v_state(s173, c_ready) | (~node2(s172, s173)) | m_main_v_state(s173, 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(s172, s173)) | m_main_v_state(s173, c_busy) | node1(s172) | m_main_v_state(s173, c_ready))),
% 5.13/4.62 inference(transitivity,[status(thm)],[23904, 23902])).
% 5.13/4.62 tff(23906,plain,
% 5.13/4.62 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s172) | m_main_v_state(s173, c_ready) | (~node2(s172, s173)) | m_main_v_state(s173, c_busy))),
% 5.13/4.62 inference(quant_inst,[status(thm)],[])).
% 5.13/4.62 tff(23907,plain,
% 5.13/4.62 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s172, s173)) | m_main_v_state(s173, c_busy) | node1(s172) | m_main_v_state(s173, c_ready)),
% 5.13/4.62 inference(modus_ponens,[status(thm)],[23906, 23905])).
% 5.13/4.62 tff(23908,plain,
% 5.13/4.62 (m_main_v_state(s173, c_busy) | node1(s172) | m_main_v_state(s173, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23907, 2250, 22938])).
% 5.13/4.62 tff(23909,plain,
% 5.13/4.62 (node1(s172)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23908, 23900, 23901])).
% 5.13/4.62 tff(23910,plain,
% 5.13/4.62 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s172, c_ready) | (~node1(s172)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s172, c_ready) | (~node1(s172)))),
% 5.13/4.62 inference(rewrite,[status(thm)],[])).
% 5.13/4.62 tff(23911,plain,
% 5.13/4.62 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s172, c_ready) | (~node1(s172)))),
% 5.13/4.62 inference(quant_inst,[status(thm)],[])).
% 5.13/4.62 tff(23912,plain,
% 5.13/4.62 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s172, c_ready) | (~node1(s172))),
% 5.13/4.62 inference(modus_ponens,[status(thm)],[23911, 23910])).
% 5.13/4.62 tff(23913,plain,
% 5.13/4.62 (m_main_v_state(s172, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23912, 2265, 23909])).
% 5.13/4.62 tff(23914,plain,
% 5.13/4.62 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s172) | (~node1(s172)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s172) | (~node1(s172)))),
% 5.13/4.62 inference(rewrite,[status(thm)],[])).
% 5.13/4.62 tff(23915,plain,
% 5.13/4.62 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s172) | (~node1(s172)))),
% 5.13/4.62 inference(quant_inst,[status(thm)],[])).
% 5.13/4.62 tff(23916,plain,
% 5.13/4.62 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s172) | (~node1(s172))),
% 5.13/4.62 inference(modus_ponens,[status(thm)],[23915, 23914])).
% 5.13/4.62 tff(23917,plain,
% 5.13/4.62 (m_main_v_request(s172)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23916, 2276, 23909])).
% 5.13/4.62 tff(23918,plain,
% 5.13/4.62 ($false),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22942, 23917, 23913, 23900])).
% 5.13/4.62 tff(23919,plain,(m_main_v_state(s173, c_busy) | m_main_v_state(s173, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.62 tff(23920,plain,
% 5.13/4.62 (m_main_v_state(s173, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23919, 23899])).
% 5.13/4.62 tff(23921,plain,
% 5.13/4.62 (~m_main_v_request(s173)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22826, 23920, 23892])).
% 5.13/4.62 tff(23922,plain,
% 5.13/4.62 (~node4(s173)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22817, 63, 23921])).
% 5.13/4.62 tff(23923,plain,
% 5.13/4.62 (xuntil2p8(s173) | (~until2p7(s173))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8760, 8293, 23922])).
% 5.13/4.62 tff(23924,plain,
% 5.13/4.62 (~until2p7(s173)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23923, 23898])).
% 5.13/4.62 tff(23925,plain,
% 5.13/4.62 (~xuntil2p8(s172)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8766, 23924])).
% 5.13/4.62 tff(23926,plain,
% 5.13/4.62 (~m_main_v_state(s172, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22880, 145, 23807])).
% 5.13/4.62 tff(23927,plain,
% 5.13/4.62 (m_main_v_state(s172, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22948, 188, 23926])).
% 5.13/4.62 tff(23928,plain,
% 5.13/4.62 (~m_main_v_request(s172)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22942, 23927, 23899])).
% 5.13/4.62 tff(23929,plain,
% 5.13/4.62 (~node4(s172)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22933, 63, 23928])).
% 5.13/4.62 tff(23930,plain,
% 5.13/4.62 (xuntil2p8(s172) | (~until2p7(s172))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8772, 8293, 23929])).
% 5.13/4.62 tff(23931,plain,
% 5.13/4.62 (~until2p7(s172)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23930, 23925])).
% 5.13/4.62 tff(23932,plain,
% 5.13/4.62 (~xuntil2p8(s171)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8778, 23931])).
% 5.13/4.62 tff(23933,plain,
% 5.13/4.62 (~m_main_v_state(s171, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22872, 145, 23806])).
% 5.13/4.62 tff(23934,plain,
% 5.13/4.62 (m_main_v_state(s171, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22884, 188, 23933])).
% 5.13/4.62 tff(23935,plain,
% 5.13/4.62 (~m_main_v_request(s171)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22893, 23934, 23926])).
% 5.13/4.62 tff(23936,plain,
% 5.13/4.62 (~node4(s171)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22897, 63, 23935])).
% 5.13/4.62 tff(23937,plain,
% 5.13/4.62 (xuntil2p8(s171) | (~until2p7(s171))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8784, 8293, 23936])).
% 5.13/4.62 tff(23938,plain,
% 5.13/4.62 (~until2p7(s171)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23937, 23932])).
% 5.13/4.62 tff(23939,plain,
% 5.13/4.62 (~xuntil2p8(s170)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8790, 23938])).
% 5.13/4.62 tff(23940,plain,
% 5.13/4.62 (~m_main_v_state(s170, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22921, 145, 23805])).
% 5.13/4.62 tff(23941,plain,
% 5.13/4.62 (m_main_v_state(s170, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22925, 188, 23940])).
% 5.13/4.62 tff(23942,plain,
% 5.13/4.62 (~m_main_v_request(s170)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22913, 23941, 23933])).
% 5.13/4.62 tff(23943,plain,
% 5.13/4.62 (~node4(s170)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22904, 63, 23942])).
% 5.13/4.62 tff(23944,plain,
% 5.13/4.62 (xuntil2p8(s170) | (~until2p7(s170))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8796, 8293, 23943])).
% 5.13/4.62 tff(23945,plain,
% 5.13/4.62 (~until2p7(s170)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23944, 23939])).
% 5.13/4.62 tff(23946,plain,
% 5.13/4.62 (~xuntil2p8(s169)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8802, 23945])).
% 5.13/4.62 tff(23947,plain,
% 5.13/4.62 (~m_main_v_state(s169, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8828, 145, 23804])).
% 5.13/4.62 tff(23948,assumption,(~m_main_v_state(s169, c_ready)), introduced(assumption)).
% 5.13/4.62 tff(23949,assumption,(~m_main_v_state(s169, c_busy)), introduced(assumption)).
% 5.13/4.62 tff(23950,plain,
% 5.13/4.62 ($false),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22957, 188, 23949, 23948])).
% 5.13/4.62 tff(23951,plain,(m_main_v_state(s169, c_ready) | m_main_v_state(s169, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.62 tff(23952,plain,
% 5.13/4.62 (m_main_v_state(s169, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23951, 23947])).
% 5.13/4.62 tff(23953,plain,
% 5.13/4.62 (~m_main_v_request(s169)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22966, 23952, 23940])).
% 5.13/4.62 tff(23954,plain,
% 5.13/4.62 (~node4(s169)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22970, 63, 23953])).
% 5.13/4.62 tff(23955,plain,
% 5.13/4.62 (xuntil2p8(s169) | (~until2p7(s169))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8808, 8293, 23954])).
% 5.13/4.62 tff(23956,plain,
% 5.13/4.62 (~until2p7(s169)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23955, 23946])).
% 5.13/4.62 tff(23957,plain,
% 5.13/4.62 (~xuntil2p8(s168)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8814, 23956])).
% 5.13/4.62 tff(23958,plain,
% 5.13/4.62 (~until2p7(s168)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8854, 23957])).
% 5.13/4.62 tff(23959,plain,
% 5.13/4.62 (~xuntil2p8(s167)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8859, 23958])).
% 5.13/4.62 tff(23960,plain,
% 5.13/4.62 (~m_main_v_state(s168, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8844, 145, 23803])).
% 5.13/4.62 tff(23961,plain,
% 5.13/4.62 (~m_main_v_state(s167, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8886, 145, 23802])).
% 5.13/4.62 tff(23962,assumption,(~m_main_v_state(s167, c_busy)), introduced(assumption)).
% 5.13/4.62 tff(23963,assumption,(~m_main_v_state(s167, c_ready)), introduced(assumption)).
% 5.13/4.62 tff(23964,plain,
% 5.13/4.62 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s166, s167)) | m_main_v_state(s167, c_busy) | node1(s166) | m_main_v_state(s167, 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(s166, s167)) | m_main_v_state(s167, c_busy) | node1(s166) | m_main_v_state(s167, c_ready))),
% 5.13/4.62 inference(rewrite,[status(thm)],[])).
% 5.13/4.62 tff(23965,plain,
% 5.13/4.62 ((node1(s166) | m_main_v_state(s167, c_ready) | (~node2(s166, s167)) | m_main_v_state(s167, c_busy)) <=> ((~node2(s166, s167)) | m_main_v_state(s167, c_busy) | node1(s166) | m_main_v_state(s167, c_ready))),
% 5.13/4.62 inference(rewrite,[status(thm)],[])).
% 5.13/4.62 tff(23966,plain,
% 5.13/4.62 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s166) | m_main_v_state(s167, c_ready) | (~node2(s166, s167)) | m_main_v_state(s167, 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(s166, s167)) | m_main_v_state(s167, c_busy) | node1(s166) | m_main_v_state(s167, c_ready)))),
% 5.13/4.62 inference(monotonicity,[status(thm)],[23965])).
% 5.13/4.62 tff(23967,plain,
% 5.13/4.62 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s166) | m_main_v_state(s167, c_ready) | (~node2(s166, s167)) | m_main_v_state(s167, 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(s166, s167)) | m_main_v_state(s167, c_busy) | node1(s166) | m_main_v_state(s167, c_ready))),
% 5.13/4.62 inference(transitivity,[status(thm)],[23966, 23964])).
% 5.13/4.62 tff(23968,plain,
% 5.13/4.62 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s166) | m_main_v_state(s167, c_ready) | (~node2(s166, s167)) | m_main_v_state(s167, c_busy))),
% 5.13/4.62 inference(quant_inst,[status(thm)],[])).
% 5.13/4.62 tff(23969,plain,
% 5.13/4.62 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s166, s167)) | m_main_v_state(s167, c_busy) | node1(s166) | m_main_v_state(s167, c_ready)),
% 5.13/4.62 inference(modus_ponens,[status(thm)],[23968, 23967])).
% 5.13/4.62 tff(23970,plain,
% 5.13/4.62 (m_main_v_state(s167, c_busy) | node1(s166) | m_main_v_state(s167, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23969, 2250, 8891])).
% 5.13/4.62 tff(23971,plain,
% 5.13/4.62 (node1(s166)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23970, 23962, 23963])).
% 5.13/4.62 tff(23972,plain,
% 5.13/4.62 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s166, c_ready) | (~node1(s166)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s166, c_ready) | (~node1(s166)))),
% 5.13/4.62 inference(rewrite,[status(thm)],[])).
% 5.13/4.62 tff(23973,plain,
% 5.13/4.62 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s166, c_ready) | (~node1(s166)))),
% 5.13/4.62 inference(quant_inst,[status(thm)],[])).
% 5.13/4.62 tff(23974,plain,
% 5.13/4.62 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s166, c_ready) | (~node1(s166))),
% 5.13/4.62 inference(modus_ponens,[status(thm)],[23973, 23972])).
% 5.13/4.62 tff(23975,plain,
% 5.13/4.62 (m_main_v_state(s166, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23974, 2265, 23971])).
% 5.13/4.62 tff(23976,plain,
% 5.13/4.62 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s166) | (~node1(s166)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s166) | (~node1(s166)))),
% 5.13/4.62 inference(rewrite,[status(thm)],[])).
% 5.13/4.62 tff(23977,plain,
% 5.13/4.62 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s166) | (~node1(s166)))),
% 5.13/4.62 inference(quant_inst,[status(thm)],[])).
% 5.13/4.62 tff(23978,plain,
% 5.13/4.62 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s166) | (~node1(s166))),
% 5.13/4.62 inference(modus_ponens,[status(thm)],[23977, 23976])).
% 5.13/4.62 tff(23979,plain,
% 5.13/4.62 (m_main_v_request(s166)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23978, 2276, 23971])).
% 5.13/4.62 tff(23980,plain,
% 5.13/4.62 ($false),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8895, 23979, 23975, 23962])).
% 5.13/4.62 tff(23981,plain,(m_main_v_state(s167, c_busy) | m_main_v_state(s167, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.62 tff(23982,plain,
% 5.13/4.62 (m_main_v_state(s167, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23981, 23961])).
% 5.13/4.62 tff(23983,plain,
% 5.13/4.62 (~m_main_v_request(s167)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22436, 23982, 23960])).
% 5.13/4.62 tff(23984,plain,
% 5.13/4.62 (~node4(s167)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22427, 63, 23983])).
% 5.13/4.62 tff(23985,plain,
% 5.13/4.62 (xuntil2p8(s167) | (~until2p7(s167))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8866, 8293, 23984])).
% 5.13/4.62 tff(23986,plain,
% 5.13/4.62 (~until2p7(s167)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23985, 23959])).
% 5.13/4.62 tff(23987,plain,
% 5.13/4.62 (~xuntil2p8(s166)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8872, 23986])).
% 5.13/4.62 tff(23988,plain,
% 5.13/4.62 (~until2p7(s166)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8912, 23987])).
% 5.13/4.62 tff(23989,plain,
% 5.13/4.62 (~xuntil2p8(s165)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8917, 23988])).
% 5.13/4.62 tff(23990,plain,
% 5.13/4.62 (~until2p7(s165)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8951, 23989])).
% 5.13/4.62 tff(23991,plain,
% 5.13/4.62 (~xuntil2p8(s164)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8956, 23990])).
% 5.13/4.62 tff(23992,plain,
% 5.13/4.62 (~until2p7(s164)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8990, 23991])).
% 5.13/4.62 tff(23993,plain,
% 5.13/4.62 (~xuntil2p8(s163)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8995, 23992])).
% 5.13/4.62 tff(23994,plain,
% 5.13/4.62 (~m_main_v_state(s164, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8980, 145, 23799])).
% 5.13/4.62 tff(23995,plain,
% 5.13/4.62 (~m_main_v_state(s163, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[4567, 145, 23798])).
% 5.13/4.62 tff(23996,plain,
% 5.13/4.62 (m_main_v_state(s163, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22391, 188, 23995])).
% 5.13/4.62 tff(23997,plain,
% 5.13/4.62 (~m_main_v_request(s163)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22386, 23996, 23994])).
% 5.13/4.62 tff(23998,plain,
% 5.13/4.62 (~node4(s163)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22377, 63, 23997])).
% 5.13/4.62 tff(23999,plain,
% 5.13/4.62 (xuntil2p8(s163) | (~until2p7(s163))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9004, 8293, 23998])).
% 5.13/4.62 tff(24000,plain,
% 5.13/4.62 (~until2p7(s163)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23999, 23993])).
% 5.13/4.62 tff(24001,plain,
% 5.13/4.62 (~xuntil2p8(s162)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9010, 24000])).
% 5.13/4.62 tff(24002,plain,
% 5.13/4.62 (~until2p7(s162)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9015, 24001])).
% 5.13/4.62 tff(24003,plain,
% 5.13/4.62 (~xuntil2p8(s161)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9020, 24002])).
% 5.13/4.62 tff(24004,plain,
% 5.13/4.62 (~m_main_v_state(s162, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[4583, 145, 23797])).
% 5.13/4.62 tff(24005,plain,
% 5.13/4.62 (~m_main_v_state(s161, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9047, 145, 23796])).
% 5.13/4.62 tff(24006,plain,
% 5.13/4.62 (m_main_v_state(s161, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21448, 188, 24005])).
% 5.13/4.62 tff(24007,plain,
% 5.13/4.62 (~m_main_v_request(s161)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21457, 24006, 24004])).
% 5.13/4.62 tff(24008,plain,
% 5.13/4.62 (~node4(s161)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21461, 63, 24007])).
% 5.13/4.62 tff(24009,plain,
% 5.13/4.62 (xuntil2p8(s161) | (~until2p7(s161))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9027, 8293, 24008])).
% 5.13/4.62 tff(24010,plain,
% 5.13/4.62 (~until2p7(s161)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24009, 24003])).
% 5.13/4.62 tff(24011,plain,
% 5.13/4.62 (~xuntil2p8(s160)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9033, 24010])).
% 5.13/4.62 tff(24012,plain,
% 5.13/4.62 (~until2p7(s160)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9073, 24011])).
% 5.13/4.62 tff(24013,plain,
% 5.13/4.62 (~xuntil2p8(s159)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9078, 24012])).
% 5.13/4.62 tff(24014,plain,
% 5.13/4.62 (~m_main_v_state(s160, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9063, 145, 23795])).
% 5.13/4.62 tff(24015,plain,
% 5.13/4.62 (~m_main_v_state(s159, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21547, 145, 23794])).
% 5.13/4.62 tff(24016,plain,
% 5.13/4.62 (~m_main_v_state(s158, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21560, 145, 23793])).
% 5.13/4.62 tff(24017,plain,
% 5.13/4.62 (m_main_v_state(s158, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21583, 24016])).
% 5.13/4.62 tff(24018,plain,
% 5.13/4.62 (m_main_v_state(s159, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21609, 24017, 24015])).
% 5.13/4.62 tff(24019,plain,
% 5.13/4.62 (~m_main_v_request(s159)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21540, 24018, 24014])).
% 5.13/4.62 tff(24020,plain,
% 5.13/4.62 (~node4(s159)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21510, 63, 24019])).
% 5.13/4.62 tff(24021,plain,
% 5.13/4.62 (xuntil2p8(s159) | (~until2p7(s159))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9085, 8293, 24020])).
% 5.13/4.62 tff(24022,plain,
% 5.13/4.62 (~until2p7(s159)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24021, 24013])).
% 5.13/4.62 tff(24023,plain,
% 5.13/4.62 (~xuntil2p8(s158)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9091, 24022])).
% 5.13/4.62 tff(24024,plain,
% 5.13/4.62 (~node4(s158)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21625, 24015])).
% 5.13/4.62 tff(24025,plain,
% 5.13/4.62 (xuntil2p8(s158) | (~until2p7(s158))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9097, 8293, 24024])).
% 5.13/4.62 tff(24026,plain,
% 5.13/4.62 (~until2p7(s158)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24025, 24023])).
% 5.13/4.62 tff(24027,plain,
% 5.13/4.62 (~xuntil2p8(s157)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9103, 24026])).
% 5.13/4.62 tff(24028,plain,
% 5.13/4.62 (~m_main_v_state(s157, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21636, 145, 23792])).
% 5.13/4.62 tff(24029,plain,
% 5.13/4.62 (m_main_v_state(s157, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21640, 188, 24028])).
% 5.13/4.62 tff(24030,plain,
% 5.13/4.62 (~m_main_v_request(s157)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21649, 24029, 24016])).
% 5.13/4.62 tff(24031,plain,
% 5.13/4.62 (~node4(s157)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21653, 63, 24030])).
% 5.13/4.62 tff(24032,plain,
% 5.13/4.62 (xuntil2p8(s157) | (~until2p7(s157))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9109, 8293, 24031])).
% 5.13/4.62 tff(24033,plain,
% 5.13/4.62 (~until2p7(s157)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24032, 24027])).
% 5.13/4.62 tff(24034,plain,
% 5.13/4.62 (~xuntil2p8(s156)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9115, 24033])).
% 5.13/4.62 tff(24035,plain,
% 5.13/4.62 (~m_main_v_state(s156, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21663, 145, 23791])).
% 5.13/4.62 tff(24036,plain,
% 5.13/4.62 (m_main_v_state(s156, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21667, 188, 24035])).
% 5.13/4.62 tff(24037,plain,
% 5.13/4.62 (~m_main_v_request(s156)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21751, 24036, 24028])).
% 5.13/4.62 tff(24038,plain,
% 5.13/4.62 (~node4(s156)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21742, 63, 24037])).
% 5.13/4.62 tff(24039,plain,
% 5.13/4.62 (xuntil2p8(s156) | (~until2p7(s156))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9121, 8293, 24038])).
% 5.13/4.62 tff(24040,plain,
% 5.13/4.62 (~until2p7(s156)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24039, 24034])).
% 5.13/4.62 tff(24041,plain,
% 5.13/4.62 (~xuntil2p8(s155)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9127, 24040])).
% 5.13/4.62 tff(24042,plain,
% 5.13/4.62 (~m_main_v_state(s155, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21693, 145, 23790])).
% 5.13/4.62 tff(24043,plain,
% 5.13/4.62 (m_main_v_state(s155, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21698, 188, 24042])).
% 5.13/4.62 tff(24044,plain,
% 5.13/4.62 (~m_main_v_request(s155)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21707, 24043, 24035])).
% 5.13/4.62 tff(24045,plain,
% 5.13/4.62 (~node4(s155)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21711, 63, 24044])).
% 5.13/4.62 tff(24046,plain,
% 5.13/4.62 (xuntil2p8(s155) | (~until2p7(s155))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9133, 8293, 24045])).
% 5.13/4.62 tff(24047,plain,
% 5.13/4.62 (~until2p7(s155)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24046, 24041])).
% 5.13/4.62 tff(24048,plain,
% 5.13/4.62 (~xuntil2p8(s154)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9139, 24047])).
% 5.13/4.62 tff(24049,plain,
% 5.13/4.62 (~m_main_v_state(s154, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9165, 145, 23789])).
% 5.13/4.62 tff(24050,plain,
% 5.13/4.62 (m_main_v_state(s154, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21733, 188, 24049])).
% 5.13/4.62 tff(24051,plain,
% 5.13/4.62 (~m_main_v_request(s154)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21727, 24050, 24042])).
% 5.13/4.62 tff(24052,plain,
% 5.13/4.62 (~node4(s154)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21718, 63, 24051])).
% 5.13/4.62 tff(24053,plain,
% 5.13/4.62 (xuntil2p8(s154) | (~until2p7(s154))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9145, 8293, 24052])).
% 5.13/4.62 tff(24054,plain,
% 5.13/4.62 (~until2p7(s154)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24053, 24048])).
% 5.13/4.62 tff(24055,plain,
% 5.13/4.62 (~xuntil2p8(s153)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9151, 24054])).
% 5.13/4.62 tff(24056,plain,
% 5.13/4.62 (~until2p7(s153)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9191, 24055])).
% 5.13/4.62 tff(24057,plain,
% 5.13/4.62 (~xuntil2p8(s152)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9196, 24056])).
% 5.13/4.62 tff(24058,plain,
% 5.13/4.62 (~until2p7(s152)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9230, 24057])).
% 5.13/4.62 tff(24059,plain,
% 5.13/4.62 (~xuntil2p8(s151)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9235, 24058])).
% 5.13/4.62 tff(24060,plain,
% 5.13/4.62 (~m_main_v_state(s152, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9220, 145, 23787])).
% 5.13/4.62 tff(24061,plain,
% 5.13/4.62 (~m_main_v_state(s151, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21839, 145, 23786])).
% 5.13/4.62 tff(24062,assumption,(~m_main_v_state(s151, c_ready)), introduced(assumption)).
% 5.13/4.62 tff(24063,assumption,(~m_main_v_state(s151, c_busy)), introduced(assumption)).
% 5.13/4.62 tff(24064,plain,
% 5.13/4.62 ($false),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21843, 188, 24063, 24062])).
% 5.13/4.62 tff(24065,plain,(m_main_v_state(s151, c_ready) | m_main_v_state(s151, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.62 tff(24066,plain,
% 5.13/4.62 (m_main_v_state(s151, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24065, 24061])).
% 5.13/4.62 tff(24067,plain,
% 5.13/4.62 (~m_main_v_request(s151)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21852, 24066, 24060])).
% 5.13/4.62 tff(24068,plain,
% 5.13/4.62 (~node4(s151)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21856, 63, 24067])).
% 5.13/4.62 tff(24069,plain,
% 5.13/4.62 (xuntil2p8(s151) | (~until2p7(s151))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9243, 8293, 24068])).
% 5.13/4.62 tff(24070,plain,
% 5.13/4.62 (~until2p7(s151)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24069, 24059])).
% 5.13/4.62 tff(24071,plain,
% 5.13/4.62 (~xuntil2p8(s150)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9249, 24070])).
% 5.13/4.62 tff(24072,plain,
% 5.13/4.62 (~m_main_v_state(s150, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21867, 145, 23785])).
% 5.13/4.62 tff(24073,plain,
% 5.13/4.62 (m_main_v_state(s150, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21891, 188, 24072])).
% 5.13/4.62 tff(24074,plain,
% 5.13/4.62 (~m_main_v_request(s150)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21886, 24073, 24061])).
% 5.13/4.62 tff(24075,plain,
% 5.13/4.62 (~node4(s150)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21877, 63, 24074])).
% 5.13/4.62 tff(24076,plain,
% 5.13/4.62 (xuntil2p8(s150) | (~until2p7(s150))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9255, 8293, 24075])).
% 5.13/4.62 tff(24077,plain,
% 5.13/4.62 (~until2p7(s150)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24076, 24071])).
% 5.13/4.62 tff(24078,plain,
% 5.13/4.62 (~xuntil2p8(s149)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9261, 24077])).
% 5.13/4.62 tff(24079,plain,
% 5.13/4.62 (~m_main_v_state(s149, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9287, 145, 23784])).
% 5.13/4.62 tff(24080,assumption,(~m_main_v_state(s149, c_ready)), introduced(assumption)).
% 5.13/4.62 tff(24081,assumption,(~m_main_v_state(s149, c_busy)), introduced(assumption)).
% 5.13/4.62 tff(24082,assumption,(node1(s148)), introduced(assumption)).
% 5.13/4.62 tff(24083,plain,
% 5.13/4.62 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s148, c_ready) | (~node1(s148)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s148, c_ready) | (~node1(s148)))),
% 5.13/4.62 inference(rewrite,[status(thm)],[])).
% 5.13/4.62 tff(24084,plain,
% 5.13/4.62 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s148, c_ready) | (~node1(s148)))),
% 5.13/4.62 inference(quant_inst,[status(thm)],[])).
% 5.13/4.62 tff(24085,plain,
% 5.13/4.62 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s148, c_ready) | (~node1(s148))),
% 5.13/4.62 inference(modus_ponens,[status(thm)],[24084, 24083])).
% 5.13/4.62 tff(24086,plain,
% 5.13/4.62 (m_main_v_state(s148, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24085, 2265, 24082])).
% 5.13/4.62 tff(24087,plain,
% 5.13/4.62 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s148) | (~node1(s148)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s148) | (~node1(s148)))),
% 5.13/4.62 inference(rewrite,[status(thm)],[])).
% 5.13/4.62 tff(24088,plain,
% 5.13/4.62 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s148) | (~node1(s148)))),
% 5.13/4.62 inference(quant_inst,[status(thm)],[])).
% 5.13/4.62 tff(24089,plain,
% 5.13/4.62 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s148) | (~node1(s148))),
% 5.13/4.62 inference(modus_ponens,[status(thm)],[24088, 24087])).
% 5.13/4.62 tff(24090,plain,
% 5.13/4.62 (m_main_v_request(s148)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24089, 2276, 24082])).
% 5.13/4.62 tff(24091,plain,
% 5.13/4.62 ($false),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9296, 24090, 24086, 24081])).
% 5.13/4.62 tff(24092,plain,((~node1(s148)) | m_main_v_state(s149, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.62 tff(24093,plain,
% 5.13/4.62 (~node1(s148)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24092, 24081])).
% 5.13/4.62 tff(24094,plain,
% 5.13/4.62 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s148, s149)) | m_main_v_state(s149, c_busy) | node1(s148) | m_main_v_state(s149, 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(s148, s149)) | m_main_v_state(s149, c_busy) | node1(s148) | m_main_v_state(s149, c_ready))),
% 5.13/4.62 inference(rewrite,[status(thm)],[])).
% 5.13/4.62 tff(24095,plain,
% 5.13/4.62 ((node1(s148) | m_main_v_state(s149, c_ready) | (~node2(s148, s149)) | m_main_v_state(s149, c_busy)) <=> ((~node2(s148, s149)) | m_main_v_state(s149, c_busy) | node1(s148) | m_main_v_state(s149, c_ready))),
% 5.13/4.62 inference(rewrite,[status(thm)],[])).
% 5.13/4.62 tff(24096,plain,
% 5.13/4.62 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s148) | m_main_v_state(s149, c_ready) | (~node2(s148, s149)) | m_main_v_state(s149, 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(s148, s149)) | m_main_v_state(s149, c_busy) | node1(s148) | m_main_v_state(s149, c_ready)))),
% 5.13/4.62 inference(monotonicity,[status(thm)],[24095])).
% 5.13/4.62 tff(24097,plain,
% 5.13/4.62 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s148) | m_main_v_state(s149, c_ready) | (~node2(s148, s149)) | m_main_v_state(s149, 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(s148, s149)) | m_main_v_state(s149, c_busy) | node1(s148) | m_main_v_state(s149, c_ready))),
% 5.13/4.62 inference(transitivity,[status(thm)],[24096, 24094])).
% 5.13/4.62 tff(24098,plain,
% 5.13/4.62 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s148) | m_main_v_state(s149, c_ready) | (~node2(s148, s149)) | m_main_v_state(s149, c_busy))),
% 5.13/4.62 inference(quant_inst,[status(thm)],[])).
% 5.13/4.62 tff(24099,plain,
% 5.13/4.62 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s148, s149)) | m_main_v_state(s149, c_busy) | node1(s148) | m_main_v_state(s149, c_ready)),
% 5.13/4.62 inference(modus_ponens,[status(thm)],[24098, 24097])).
% 5.13/4.62 tff(24100,plain,
% 5.13/4.62 (m_main_v_state(s149, c_busy) | node1(s148) | m_main_v_state(s149, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24099, 2250, 9292])).
% 5.13/4.62 tff(24101,plain,
% 5.13/4.62 ($false),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24100, 24093, 24081, 24080])).
% 5.13/4.62 tff(24102,plain,(m_main_v_state(s149, c_busy) | m_main_v_state(s149, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.62 tff(24103,plain,
% 5.13/4.62 (m_main_v_state(s149, c_ready)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24102, 24079])).
% 5.13/4.62 tff(24104,plain,
% 5.13/4.62 (~m_main_v_request(s149)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21912, 24103, 24072])).
% 5.13/4.62 tff(24105,plain,
% 5.13/4.62 (~node4(s149)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21903, 63, 24104])).
% 5.13/4.62 tff(24106,plain,
% 5.13/4.62 (xuntil2p8(s149) | (~until2p7(s149))),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9267, 8293, 24105])).
% 5.13/4.62 tff(24107,plain,
% 5.13/4.62 (~until2p7(s149)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24106, 24078])).
% 5.13/4.62 tff(24108,plain,
% 5.13/4.62 (~xuntil2p8(s148)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9273, 24107])).
% 5.13/4.62 tff(24109,plain,
% 5.13/4.62 ($false),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[9313, 24108, 23780])).
% 5.13/4.62 tff(24110,plain,((~trans(s199, s117)) | xuntil2p8(s183) | node4(s199) | (~until5(s111)) | (~until5(s118))), inference(lemma,lemma(discharge,[]))).
% 5.13/4.62 tff(24111,plain,
% 5.13/4.62 (~trans(s199, s117)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24110, 16114, 18457, 18146, 69])).
% 5.13/4.62 tff(24112,plain,
% 5.13/4.62 (~until5(s119)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[18583, 18510, 18146])).
% 5.13/4.62 tff(24113,plain,
% 5.13/4.62 (~xuntil6(s118)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[7843, 24112])).
% 5.13/4.62 tff(24114,plain,
% 5.13/4.62 (xuntil6(s118) | node4(s118)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[7837, 225, 18457])).
% 5.13/4.62 tff(24115,plain,
% 5.13/4.62 (node4(s118)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24114, 24113])).
% 5.13/4.62 tff(24116,plain,
% 5.13/4.62 (m_main_v_state(s119, c_busy)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[18504, 24115])).
% 5.13/4.62 tff(24117,plain,
% 5.13/4.62 ($false),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[18481, 145, 18553, 24116])).
% 5.13/4.62 tff(24118,plain,(xuntil6(s119) | (~until5(s111))), inference(lemma,lemma(discharge,[]))).
% 5.13/4.62 tff(24119,plain,
% 5.13/4.62 (xuntil6(s119)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[24118, 18146])).
% 5.13/4.62 tff(24120,plain,
% 5.13/4.62 (until5(s120)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[7860, 24119])).
% 5.13/4.62 tff(24121,plain,
% 5.13/4.62 (xuntil6(s122)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[18741, 24120, 18146])).
% 5.13/4.62 tff(24122,plain,
% 5.13/4.62 (until5(s123)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[7911, 24121])).
% 5.13/4.62 tff(24123,plain,
% 5.13/4.62 (xuntil6(s132)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[19278, 24122, 18146])).
% 5.13/4.62 tff(24124,plain,
% 5.13/4.62 (until5(s133)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[5287, 24123])).
% 5.13/4.62 tff(24125,plain,
% 5.13/4.62 (xuntil6(s134)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[19849, 24122, 18146])).
% 5.13/4.62 tff(24126,plain,
% 5.13/4.62 (until5(s135)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[5229, 24125])).
% 5.13/4.62 tff(24127,plain,
% 5.13/4.62 (xuntil6(s137)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[20217, 24126])).
% 5.13/4.62 tff(24128,plain,
% 5.13/4.62 (until5(s138)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[5142, 24127])).
% 5.13/4.62 tff(24129,plain,
% 5.13/4.62 (xuntil6(s140)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[20605, 24128])).
% 5.13/4.62 tff(24130,plain,
% 5.13/4.62 (until5(s141)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[5055, 24129])).
% 5.13/4.62 tff(24131,plain,
% 5.13/4.62 (xuntil6(s142)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[20967, 24130])).
% 5.13/4.62 tff(24132,plain,
% 5.13/4.62 (until5(s143)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[4996, 24131])).
% 5.13/4.62 tff(24133,plain,
% 5.13/4.62 (xuntil6(s144)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[21025, 24132])).
% 5.13/4.62 tff(24134,plain,
% 5.13/4.62 (until5(s145)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[4942, 24133])).
% 5.13/4.62 tff(24135,plain,
% 5.13/4.62 (xuntil6(s161)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22024, 24134, 24124])).
% 5.13/4.62 tff(24136,plain,
% 5.13/4.62 (until5(s162)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[4601, 24135])).
% 5.13/4.62 tff(24137,plain,
% 5.13/4.62 (xuntil6(s162)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[4596, 24136])).
% 5.13/4.62 tff(24138,plain,
% 5.13/4.62 (until5(s163)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[4550, 24137])).
% 5.13/4.62 tff(24139,plain,
% 5.13/4.62 (xuntil6(s163)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22393, 24138])).
% 5.13/4.62 tff(24140,plain,
% 5.13/4.62 (until5(s164)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[4538, 24139])).
% 5.13/4.62 tff(24141,plain,
% 5.13/4.62 (xuntil6(s164)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22396, 24140])).
% 5.13/4.62 tff(24142,plain,
% 5.13/4.62 (until5(s165)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[4468, 24141])).
% 5.13/4.62 tff(24143,plain,
% 5.13/4.62 (xuntil6(s167)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22443, 24142])).
% 5.13/4.62 tff(24144,plain,
% 5.13/4.62 (until5(s168)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[4514, 24143])).
% 5.13/4.62 tff(24145,plain,
% 5.13/4.62 (xuntil6(s168)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22446, 24144])).
% 5.13/4.62 tff(24146,plain,
% 5.13/4.62 (until5(s169)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[4531, 24145])).
% 5.13/4.62 tff(24147,plain,
% 5.13/4.62 (xuntil6(s173)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[22988, 24146, 24140])).
% 5.13/4.62 tff(24148,plain,
% 5.13/4.62 (until5(s174)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[4356, 24147])).
% 5.13/4.62 tff(24149,plain,
% 5.13/4.62 (xuntil6(s174)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23021, 24148])).
% 5.13/4.62 tff(24150,plain,
% 5.13/4.62 (until5(s175)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8003, 24149])).
% 5.13/4.62 tff(24151,plain,
% 5.13/4.62 (xuntil6(s181)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23201, 24150])).
% 5.13/4.62 tff(24152,plain,
% 5.13/4.62 (until5(s182)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8126, 24151])).
% 5.13/4.62 tff(24153,plain,
% 5.13/4.62 (xuntil6(s182)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8172, 24152])).
% 5.13/4.62 tff(24154,plain,
% 5.13/4.62 (until5(s183)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8177, 24153])).
% 5.13/4.62 tff(24155,plain,
% 5.13/4.62 (xuntil6(s183)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23255, 24154])).
% 5.13/4.62 tff(24156,plain,
% 5.13/4.62 (until5(s184)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8189, 24155])).
% 5.13/4.62 tff(24157,plain,
% 5.13/4.62 (xuntil6(s184)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23258, 24156])).
% 5.13/4.62 tff(24158,plain,
% 5.13/4.62 (until5(s185)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8244, 24157])).
% 5.13/4.62 tff(24159,plain,
% 5.13/4.62 (xuntil6(s185)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23303, 24158])).
% 5.13/4.62 tff(24160,plain,
% 5.13/4.62 (until5(s186)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8256, 24159])).
% 5.13/4.62 tff(24161,plain,
% 5.13/4.62 (xuntil6(s186)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[23306, 24160])).
% 5.13/4.62 tff(24162,plain,
% 5.13/4.62 (until5(s187)),
% 5.13/4.62 inference(unit_resolution,[status(thm)],[8213, 24161])).
% 5.13/4.63 tff(24163,plain,
% 5.13/4.63 (xuntil6(s187)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[23348, 24162])).
% 5.13/4.63 tff(24164,plain,
% 5.13/4.63 (until5(s188)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[8263, 24163])).
% 5.13/4.63 tff(24165,plain,
% 5.13/4.63 (xuntil6(s188)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[3796, 24164])).
% 5.13/4.63 tff(24166,plain,
% 5.13/4.63 (until5(s189)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[3742, 24165])).
% 5.13/4.63 tff(24167,plain,
% 5.13/4.63 (xuntil6(s195)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[23477, 24166])).
% 5.13/4.63 tff(24168,plain,
% 5.13/4.63 (until5(s196)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[3479, 24167])).
% 5.13/4.63 tff(24169,plain,
% 5.13/4.63 (xuntil6(s196)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[3525, 24168])).
% 5.13/4.63 tff(24170,plain,
% 5.13/4.63 (until5(s197)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[3530, 24169])).
% 5.13/4.63 tff(24171,plain,
% 5.13/4.63 (xuntil6(s197)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[23482, 24170])).
% 5.13/4.63 tff(24172,plain,
% 5.13/4.63 (until5(s198)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[3543, 24171])).
% 5.13/4.63 tff(24173,plain,
% 5.13/4.63 (xuntil6(s198)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[3589, 24172])).
% 5.13/4.63 tff(24174,plain,
% 5.13/4.63 (until5(s199)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[3594, 24173])).
% 5.13/4.63 tff(24175,plain,
% 5.13/4.63 (xuntil6(s199)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[23489, 69, 24174])).
% 5.13/4.63 tff(24176,assumption,(~node1(s199)), introduced(assumption)).
% 5.13/4.63 tff(24177,assumption,(~always3(s105)), introduced(assumption)).
% 5.13/4.63 tff(24178,plain,
% 5.13/4.63 (~always3(s104)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5712, 24177])).
% 5.13/4.63 tff(24179,plain,
% 5.13/4.63 (~always3(s103)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5728, 24178])).
% 5.13/4.63 tff(24180,plain,
% 5.13/4.63 (~always3(s102)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5740, 24179])).
% 5.13/4.63 tff(24181,plain,
% 5.13/4.63 (~always3(s101)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5752, 24180])).
% 5.13/4.63 tff(24182,plain,
% 5.13/4.63 (~always3(s100)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5764, 24181])).
% 5.13/4.63 tff(24183,plain,
% 5.13/4.63 (~always3(s99)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5776, 24182])).
% 5.13/4.63 tff(24184,plain,
% 5.13/4.63 (~always3(s98)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5788, 24183])).
% 5.13/4.63 tff(24185,plain,
% 5.13/4.63 (~always3(s97)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5800, 24184])).
% 5.13/4.63 tff(24186,plain,
% 5.13/4.63 (~always3(s96)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5812, 24185])).
% 5.13/4.63 tff(24187,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s96) | (~trans(s199, s96)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s96) | (~trans(s199, s96)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24188,plain,
% 5.13/4.63 (((~trans(s199, s96)) | (~always3(s199)) | always3(s96)) <=> ((~always3(s199)) | always3(s96) | (~trans(s199, s96)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24189,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s96)) | (~always3(s199)) | always3(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s96) | (~trans(s199, s96))))),
% 5.13/4.63 inference(monotonicity,[status(thm)],[24188])).
% 5.13/4.63 tff(24190,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s96)) | (~always3(s199)) | always3(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s96) | (~trans(s199, s96)))),
% 5.13/4.63 inference(transitivity,[status(thm)],[24189, 24187])).
% 5.13/4.63 tff(24191,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s96)) | (~always3(s199)) | always3(s96))),
% 5.13/4.63 inference(quant_inst,[status(thm)],[])).
% 5.13/4.63 tff(24192,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s96) | (~trans(s199, s96))),
% 5.13/4.63 inference(modus_ponens,[status(thm)],[24191, 24190])).
% 5.13/4.63 tff(24193,plain,
% 5.13/4.63 ($false),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24192, 11287, 38, 15335, 17213])).
% 5.13/4.63 tff(24194,plain,((~trans(s199, s96)) | (~always3(s199)) | always3(s96)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.63 tff(24195,plain,
% 5.13/4.63 ((~trans(s199, s96)) | always3(s96)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24194, 15333])).
% 5.13/4.63 tff(24196,plain,
% 5.13/4.63 (~trans(s199, s96)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24195, 24186])).
% 5.13/4.63 tff(24197,plain,
% 5.13/4.63 (~always3(s113)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5604, 18265])).
% 5.13/4.63 tff(24198,plain,
% 5.13/4.63 (~always3(s112)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5616, 24197])).
% 5.13/4.63 tff(24199,plain,
% 5.13/4.63 (~always3(s111)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5628, 24198])).
% 5.13/4.63 tff(24200,plain,
% 5.13/4.63 (~always3(s110)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5640, 24199])).
% 5.13/4.63 tff(24201,plain,
% 5.13/4.63 (~always3(s109)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5652, 24200])).
% 5.13/4.63 tff(24202,plain,
% 5.13/4.63 (~node4(s109)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[7677, 113, 24201])).
% 5.13/4.63 tff(24203,plain,
% 5.13/4.63 (~node4(s110)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[7694, 113, 24200])).
% 5.13/4.63 tff(24204,plain,
% 5.13/4.63 (~always3(s108)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5664, 24201])).
% 5.13/4.63 tff(24205,plain,
% 5.13/4.63 (~always3(s107)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5676, 24204])).
% 5.13/4.63 tff(24206,plain,
% 5.13/4.63 (~always3(s106)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5688, 24205])).
% 5.13/4.63 tff(24207,plain,
% 5.13/4.63 (~always3(s105)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5700, 24206])).
% 5.13/4.63 tff(24208,plain,
% 5.13/4.63 (~always3(s104)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5712, 24207])).
% 5.13/4.63 tff(24209,plain,
% 5.13/4.63 (~always3(s103)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5728, 24208])).
% 5.13/4.63 tff(24210,plain,
% 5.13/4.63 (~always3(s102)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5740, 24209])).
% 5.13/4.63 tff(24211,plain,
% 5.13/4.63 (~always3(s101)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5752, 24210])).
% 5.13/4.63 tff(24212,plain,
% 5.13/4.63 (~always3(s100)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5764, 24211])).
% 5.13/4.63 tff(24213,plain,
% 5.13/4.63 (~always3(s99)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5776, 24212])).
% 5.13/4.63 tff(24214,plain,
% 5.13/4.63 (~always3(s98)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5788, 24213])).
% 5.13/4.63 tff(24215,plain,
% 5.13/4.63 (~always3(s97)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5800, 24214])).
% 5.13/4.63 tff(24216,plain,
% 5.13/4.63 (~always3(s96)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5812, 24215])).
% 5.13/4.63 tff(24217,plain,
% 5.13/4.63 (~always3(s95)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5824, 24216])).
% 5.13/4.63 tff(24218,plain,
% 5.13/4.63 (~always3(s94)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5836, 24217])).
% 5.13/4.63 tff(24219,plain,
% 5.13/4.63 (~always3(s93)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5848, 24218])).
% 5.13/4.63 tff(24220,plain,
% 5.13/4.63 (~always3(s92)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5860, 24219])).
% 5.13/4.63 tff(24221,plain,
% 5.13/4.63 (~always3(s91)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5872, 24220])).
% 5.13/4.63 tff(24222,plain,
% 5.13/4.63 (~always3(s90)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5884, 24221])).
% 5.13/4.63 tff(24223,plain,
% 5.13/4.63 (~always3(s89)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5896, 24222])).
% 5.13/4.63 tff(24224,plain,
% 5.13/4.63 (~always3(s88)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5908, 24223])).
% 5.13/4.63 tff(24225,plain,
% 5.13/4.63 (~always3(s87)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5920, 24224])).
% 5.13/4.63 tff(24226,plain,
% 5.13/4.63 (~always3(s86)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5932, 24225])).
% 5.13/4.63 tff(24227,plain,
% 5.13/4.63 (~always3(s85)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5944, 24226])).
% 5.13/4.63 tff(24228,plain,
% 5.13/4.63 (~always3(s84)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5956, 24227])).
% 5.13/4.63 tff(24229,plain,
% 5.13/4.63 (~always3(s83)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5968, 24228])).
% 5.13/4.63 tff(24230,plain,
% 5.13/4.63 (~always3(s82)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5980, 24229])).
% 5.13/4.63 tff(24231,plain,
% 5.13/4.63 (~always3(s81)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[5992, 24230])).
% 5.13/4.63 tff(24232,plain,
% 5.13/4.63 (~always3(s80)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6004, 24231])).
% 5.13/4.63 tff(24233,plain,
% 5.13/4.63 (~always3(s79)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6016, 24232])).
% 5.13/4.63 tff(24234,plain,
% 5.13/4.63 (~always3(s78)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6028, 24233])).
% 5.13/4.63 tff(24235,plain,
% 5.13/4.63 (~always3(s77)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6040, 24234])).
% 5.13/4.63 tff(24236,plain,
% 5.13/4.63 (~always3(s76)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6052, 24235])).
% 5.13/4.63 tff(24237,plain,
% 5.13/4.63 (~always3(s75)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6064, 24236])).
% 5.13/4.63 tff(24238,plain,
% 5.13/4.63 (~always3(s74)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6076, 24237])).
% 5.13/4.63 tff(24239,plain,
% 5.13/4.63 (~always3(s73)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6088, 24238])).
% 5.13/4.63 tff(24240,plain,
% 5.13/4.63 (~always3(s72)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6100, 24239])).
% 5.13/4.63 tff(24241,plain,
% 5.13/4.63 (~always3(s71)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6112, 24240])).
% 5.13/4.63 tff(24242,plain,
% 5.13/4.63 (~always3(s70)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6124, 24241])).
% 5.13/4.63 tff(24243,plain,
% 5.13/4.63 (~always3(s69)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6136, 24242])).
% 5.13/4.63 tff(24244,plain,
% 5.13/4.63 (~always3(s68)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6148, 24243])).
% 5.13/4.63 tff(24245,plain,
% 5.13/4.63 (~always3(s67)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6160, 24244])).
% 5.13/4.63 tff(24246,plain,
% 5.13/4.63 (~always3(s66)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6172, 24245])).
% 5.13/4.63 tff(24247,plain,
% 5.13/4.63 (~always3(s65)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6184, 24246])).
% 5.13/4.63 tff(24248,plain,
% 5.13/4.63 (~always3(s64)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6196, 24247])).
% 5.13/4.63 tff(24249,plain,
% 5.13/4.63 (~always3(s63)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6208, 24248])).
% 5.13/4.63 tff(24250,plain,
% 5.13/4.63 (~always3(s62)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6220, 24249])).
% 5.13/4.63 tff(24251,plain,
% 5.13/4.63 (~always3(s61)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6232, 24250])).
% 5.13/4.63 tff(24252,plain,
% 5.13/4.63 (~trans(s199, s61)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[17748, 24251])).
% 5.13/4.63 tff(24253,plain,
% 5.13/4.63 (~always3(s60)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6244, 24251])).
% 5.13/4.63 tff(24254,plain,
% 5.13/4.63 (~always3(s59)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6256, 24253])).
% 5.13/4.63 tff(24255,plain,
% 5.13/4.63 (~always3(s58)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6268, 24254])).
% 5.13/4.63 tff(24256,plain,
% 5.13/4.63 (~always3(s57)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6280, 24255])).
% 5.13/4.63 tff(24257,plain,
% 5.13/4.63 (~always3(s56)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6292, 24256])).
% 5.13/4.63 tff(24258,plain,
% 5.13/4.63 (~always3(s55)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6304, 24257])).
% 5.13/4.63 tff(24259,plain,
% 5.13/4.63 (~always3(s54)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6316, 24258])).
% 5.13/4.63 tff(24260,plain,
% 5.13/4.63 (~always3(s53)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6328, 24259])).
% 5.13/4.63 tff(24261,plain,
% 5.13/4.63 (~always3(s52)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6340, 24260])).
% 5.13/4.63 tff(24262,plain,
% 5.13/4.63 (~always3(s51)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6352, 24261])).
% 5.13/4.63 tff(24263,plain,
% 5.13/4.63 (~always3(s50)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6364, 24262])).
% 5.13/4.63 tff(24264,plain,
% 5.13/4.63 (~always3(s49)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6376, 24263])).
% 5.13/4.63 tff(24265,plain,
% 5.13/4.63 (~always3(s48)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6388, 24264])).
% 5.13/4.63 tff(24266,plain,
% 5.13/4.63 (~always3(s47)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6400, 24265])).
% 5.13/4.63 tff(24267,plain,
% 5.13/4.63 (~always3(s46)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6412, 24266])).
% 5.13/4.63 tff(24268,plain,
% 5.13/4.63 (~always3(s45)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6424, 24267])).
% 5.13/4.63 tff(24269,plain,
% 5.13/4.63 (~always3(s44)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[6436, 24268])).
% 5.13/4.63 tff(24270,plain,
% 5.13/4.63 (~always3(s43)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[81, 24269])).
% 5.13/4.63 tff(24271,plain,
% 5.13/4.63 (~always3(s42)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[93, 24270])).
% 5.13/4.63 tff(24272,plain,
% 5.13/4.63 (~always3(s41)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[105, 24271])).
% 5.13/4.63 tff(24273,plain,
% 5.13/4.63 (~always3(s40)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[137, 24272])).
% 5.13/4.63 tff(24274,plain,
% 5.13/4.63 (~always3(s39)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[3143, 24273])).
% 5.13/4.63 tff(24275,plain,
% 5.13/4.63 (~always3(s38)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[2699, 24274])).
% 5.13/4.63 tff(24276,plain,
% 5.13/4.63 (~always3(s37)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[2375, 24275])).
% 5.13/4.63 tff(24277,plain,
% 5.13/4.63 (~always3(s36)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[2387, 24276])).
% 5.13/4.63 tff(24278,plain,
% 5.13/4.63 (~always3(s35)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[2399, 24277])).
% 5.13/4.63 tff(24279,plain,
% 5.13/4.63 (~always3(s34)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[2411, 24278])).
% 5.13/4.63 tff(24280,plain,
% 5.13/4.63 (~always3(s33)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[2423, 24279])).
% 5.13/4.63 tff(24281,plain,
% 5.13/4.63 (~always3(s32)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[2435, 24280])).
% 5.13/4.63 tff(24282,plain,
% 5.13/4.63 (~always3(s31)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[2447, 24281])).
% 5.13/4.63 tff(24283,plain,
% 5.13/4.63 (~always3(s30)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[2326, 24282])).
% 5.13/4.63 tff(24284,plain,
% 5.13/4.63 (~always3(s29)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[2229, 24283])).
% 5.13/4.63 tff(24285,plain,
% 5.13/4.63 (~always3(s28)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[2173, 24284])).
% 5.13/4.63 tff(24286,plain,
% 5.13/4.63 (~always3(s27)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[2081, 24285])).
% 5.13/4.63 tff(24287,plain,
% 5.13/4.63 (~always3(s26)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[1993, 24286])).
% 5.13/4.63 tff(24288,plain,
% 5.13/4.63 (~always3(s25)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[1873, 24287])).
% 5.13/4.63 tff(24289,plain,
% 5.13/4.63 (~always3(s24)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[1771, 24288])).
% 5.13/4.63 tff(24290,plain,
% 5.13/4.63 (~always3(s23)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[1816, 24289])).
% 5.13/4.63 tff(24291,plain,
% 5.13/4.63 (~always3(s22)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[1557, 24290])).
% 5.13/4.63 tff(24292,plain,
% 5.13/4.63 (~always3(s21)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[1306, 24291])).
% 5.13/4.63 tff(24293,plain,
% 5.13/4.63 (~always3(s20)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[1351, 24292])).
% 5.13/4.63 tff(24294,plain,
% 5.13/4.63 (~always3(s19)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[1363, 24293])).
% 5.13/4.63 tff(24295,plain,
% 5.13/4.63 (~always3(s18)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[1379, 24294])).
% 5.13/4.63 tff(24296,plain,
% 5.13/4.63 (~always3(s17)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[1395, 24295])).
% 5.13/4.63 tff(24297,plain,
% 5.13/4.63 (~always3(s16)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[1407, 24296])).
% 5.13/4.63 tff(24298,plain,
% 5.13/4.63 (~always3(s15)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[654, 24297])).
% 5.13/4.63 tff(24299,plain,
% 5.13/4.63 (~always3(s14)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[206, 24298])).
% 5.13/4.63 tff(24300,plain,
% 5.13/4.63 (~always3(s13)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[271, 24299])).
% 5.13/4.63 tff(24301,plain,
% 5.13/4.63 (~always3(s12)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[300, 24300])).
% 5.13/4.63 tff(24302,plain,
% 5.13/4.63 (~always3(s11)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[329, 24301])).
% 5.13/4.63 tff(24303,plain,
% 5.13/4.63 (~always3(s10)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[358, 24302])).
% 5.13/4.63 tff(24304,plain,
% 5.13/4.63 (~always3(s9)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[387, 24303])).
% 5.13/4.63 tff(24305,plain,
% 5.13/4.63 (~always3(s8)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[416, 24304])).
% 5.13/4.63 tff(24306,plain,
% 5.13/4.63 (~always3(s7)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[440, 24305])).
% 5.13/4.63 tff(24307,plain,
% 5.13/4.63 (~always3(s6)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[452, 24306])).
% 5.13/4.63 tff(24308,plain,
% 5.13/4.63 (~always3(s5)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[464, 24307])).
% 5.13/4.63 tff(24309,plain,
% 5.13/4.63 (~trans(s199, s5)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[15344, 24308])).
% 5.13/4.63 tff(24310,plain,
% 5.13/4.63 (~trans(s199, s96)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24195, 24216])).
% 5.13/4.63 tff(24311,plain,
% 5.13/4.63 (~trans(s199, s32)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[15355, 24281])).
% 5.13/4.63 tff(24312,plain,
% 5.13/4.63 (~trans(s199, s8)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[15365, 24305])).
% 5.13/4.63 tff(24313,plain,
% 5.13/4.63 (~trans(s199, s15)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[15375, 24298])).
% 5.13/4.63 tff(24314,plain,
% 5.13/4.63 (~trans(s199, s16)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[15386, 24297])).
% 5.13/4.63 tff(24315,assumption,(~always3(s93)), introduced(assumption)).
% 5.13/4.63 tff(24316,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s93) | (~trans(s199, s93)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s93) | (~trans(s199, s93)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24317,plain,
% 5.13/4.63 (((~trans(s199, s93)) | (~always3(s199)) | always3(s93)) <=> ((~always3(s199)) | always3(s93) | (~trans(s199, s93)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24318,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s93)) | (~always3(s199)) | always3(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s93) | (~trans(s199, s93))))),
% 5.13/4.63 inference(monotonicity,[status(thm)],[24317])).
% 5.13/4.63 tff(24319,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s93)) | (~always3(s199)) | always3(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s93) | (~trans(s199, s93)))),
% 5.13/4.63 inference(transitivity,[status(thm)],[24318, 24316])).
% 5.13/4.63 tff(24320,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s93)) | (~always3(s199)) | always3(s93))),
% 5.13/4.63 inference(quant_inst,[status(thm)],[])).
% 5.13/4.63 tff(24321,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s93) | (~trans(s199, s93))),
% 5.13/4.63 inference(modus_ponens,[status(thm)],[24320, 24319])).
% 5.13/4.63 tff(24322,plain,
% 5.13/4.63 ($false),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24321, 11364, 38, 15335, 24315])).
% 5.13/4.63 tff(24323,plain,((~trans(s199, s93)) | (~always3(s199)) | always3(s93)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.63 tff(24324,plain,
% 5.13/4.63 ((~trans(s199, s93)) | always3(s93)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24323, 15333])).
% 5.13/4.63 tff(24325,plain,
% 5.13/4.63 (~trans(s199, s93)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24324, 24219])).
% 5.13/4.63 tff(24326,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s108) | (~trans(s199, s108)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s108) | (~trans(s199, s108)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24327,plain,
% 5.13/4.63 (((~trans(s199, s108)) | (~always3(s199)) | always3(s108)) <=> ((~always3(s199)) | always3(s108) | (~trans(s199, s108)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24328,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s108)) | (~always3(s199)) | always3(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s108) | (~trans(s199, s108))))),
% 5.13/4.63 inference(monotonicity,[status(thm)],[24327])).
% 5.13/4.63 tff(24329,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s108)) | (~always3(s199)) | always3(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s108) | (~trans(s199, s108)))),
% 5.13/4.63 inference(transitivity,[status(thm)],[24328, 24326])).
% 5.13/4.63 tff(24330,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s108)) | (~always3(s199)) | always3(s108))),
% 5.13/4.63 inference(quant_inst,[status(thm)],[])).
% 5.13/4.63 tff(24331,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s108) | (~trans(s199, s108))),
% 5.13/4.63 inference(modus_ponens,[status(thm)],[24330, 24329])).
% 5.13/4.63 tff(24332,plain,
% 5.13/4.63 ($false),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24331, 11419, 38, 15335, 17539])).
% 5.13/4.63 tff(24333,plain,((~trans(s199, s108)) | (~always3(s199)) | always3(s108)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.63 tff(24334,plain,
% 5.13/4.63 ((~trans(s199, s108)) | always3(s108)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24333, 15333])).
% 5.13/4.63 tff(24335,plain,
% 5.13/4.63 (~trans(s199, s108)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24334, 24204])).
% 5.13/4.63 tff(24336,plain,
% 5.13/4.63 (~trans(s199, s46)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[17773, 24267])).
% 5.13/4.63 tff(24337,plain,
% 5.13/4.63 (~trans(s199, s38)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[15407, 24275])).
% 5.13/4.63 tff(24338,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s82) | (~trans(s199, s82)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s82) | (~trans(s199, s82)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24339,plain,
% 5.13/4.63 (((~trans(s199, s82)) | (~always3(s199)) | always3(s82)) <=> ((~always3(s199)) | always3(s82) | (~trans(s199, s82)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24340,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s82)) | (~always3(s199)) | always3(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s82) | (~trans(s199, s82))))),
% 5.13/4.63 inference(monotonicity,[status(thm)],[24339])).
% 5.13/4.63 tff(24341,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s82)) | (~always3(s199)) | always3(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s82) | (~trans(s199, s82)))),
% 5.13/4.63 inference(transitivity,[status(thm)],[24340, 24338])).
% 5.13/4.63 tff(24342,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s82)) | (~always3(s199)) | always3(s82))),
% 5.13/4.63 inference(quant_inst,[status(thm)],[])).
% 5.13/4.63 tff(24343,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s82) | (~trans(s199, s82))),
% 5.13/4.63 inference(modus_ponens,[status(thm)],[24342, 24341])).
% 5.13/4.63 tff(24344,plain,
% 5.13/4.63 ($false),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24343, 11518, 38, 15335, 16543])).
% 5.13/4.63 tff(24345,plain,((~trans(s199, s82)) | (~always3(s199)) | always3(s82)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.63 tff(24346,plain,
% 5.13/4.63 ((~trans(s199, s82)) | always3(s82)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24345, 15333])).
% 5.13/4.63 tff(24347,plain,
% 5.13/4.63 (~trans(s199, s82)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24346, 24230])).
% 5.13/4.63 tff(24348,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s95) | (~trans(s199, s95)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s95) | (~trans(s199, s95)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24349,plain,
% 5.13/4.63 (((~trans(s199, s95)) | (~always3(s199)) | always3(s95)) <=> ((~always3(s199)) | always3(s95) | (~trans(s199, s95)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24350,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s95)) | (~always3(s199)) | always3(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s95) | (~trans(s199, s95))))),
% 5.13/4.63 inference(monotonicity,[status(thm)],[24349])).
% 5.13/4.63 tff(24351,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s95)) | (~always3(s199)) | always3(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s95) | (~trans(s199, s95)))),
% 5.13/4.63 inference(transitivity,[status(thm)],[24350, 24348])).
% 5.13/4.63 tff(24352,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s95)) | (~always3(s199)) | always3(s95))),
% 5.13/4.63 inference(quant_inst,[status(thm)],[])).
% 5.13/4.63 tff(24353,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s95) | (~trans(s199, s95))),
% 5.13/4.63 inference(modus_ponens,[status(thm)],[24352, 24351])).
% 5.13/4.63 tff(24354,plain,
% 5.13/4.63 ($false),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24353, 11540, 38, 15335, 17078])).
% 5.13/4.63 tff(24355,plain,((~trans(s199, s95)) | (~always3(s199)) | always3(s95)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.63 tff(24356,plain,
% 5.13/4.63 ((~trans(s199, s95)) | always3(s95)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24355, 15333])).
% 5.13/4.63 tff(24357,plain,
% 5.13/4.63 (~trans(s199, s95)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24356, 24217])).
% 5.13/4.63 tff(24358,plain,
% 5.13/4.63 (~trans(s199, s7)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[15418, 24306])).
% 5.13/4.63 tff(24359,plain,
% 5.13/4.63 (~always3(s4)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[476, 24308])).
% 5.13/4.63 tff(24360,plain,
% 5.13/4.63 (~always3(s3)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[488, 24359])).
% 5.13/4.63 tff(24361,plain,
% 5.13/4.63 (~always3(s2)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[42, 24360])).
% 5.13/4.63 tff(24362,plain,
% 5.13/4.63 (~always3(s1)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[54, 24361])).
% 5.13/4.63 tff(24363,plain,
% 5.13/4.63 (~trans(s199, s1)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[15433, 24362])).
% 5.13/4.63 tff(24364,plain,
% 5.13/4.63 (~trans(s199, s6)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[15443, 24307])).
% 5.13/4.63 tff(24365,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s88) | (~trans(s199, s88)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s88) | (~trans(s199, s88)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24366,plain,
% 5.13/4.63 (((~trans(s199, s88)) | (~always3(s199)) | always3(s88)) <=> ((~always3(s199)) | always3(s88) | (~trans(s199, s88)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24367,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s88)) | (~always3(s199)) | always3(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s88) | (~trans(s199, s88))))),
% 5.13/4.63 inference(monotonicity,[status(thm)],[24366])).
% 5.13/4.63 tff(24368,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s88)) | (~always3(s199)) | always3(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s88) | (~trans(s199, s88)))),
% 5.13/4.63 inference(transitivity,[status(thm)],[24367, 24365])).
% 5.13/4.63 tff(24369,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s88)) | (~always3(s199)) | always3(s88))),
% 5.13/4.63 inference(quant_inst,[status(thm)],[])).
% 5.13/4.63 tff(24370,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s88) | (~trans(s199, s88))),
% 5.13/4.63 inference(modus_ponens,[status(thm)],[24369, 24368])).
% 5.13/4.63 tff(24371,plain,
% 5.13/4.63 ($false),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24370, 11584, 38, 15335, 16330])).
% 5.13/4.63 tff(24372,plain,((~trans(s199, s88)) | (~always3(s199)) | always3(s88)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.63 tff(24373,plain,
% 5.13/4.63 ((~trans(s199, s88)) | always3(s88)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24372, 15333])).
% 5.13/4.63 tff(24374,plain,
% 5.13/4.63 (~trans(s199, s88)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24373, 24224])).
% 5.13/4.63 tff(24375,assumption,(~always3(s79)), introduced(assumption)).
% 5.13/4.63 tff(24376,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s79) | (~trans(s199, s79)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s79) | (~trans(s199, s79)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24377,plain,
% 5.13/4.63 (((~trans(s199, s79)) | (~always3(s199)) | always3(s79)) <=> ((~always3(s199)) | always3(s79) | (~trans(s199, s79)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24378,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s79)) | (~always3(s199)) | always3(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s79) | (~trans(s199, s79))))),
% 5.13/4.63 inference(monotonicity,[status(thm)],[24377])).
% 5.13/4.63 tff(24379,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s79)) | (~always3(s199)) | always3(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s79) | (~trans(s199, s79)))),
% 5.13/4.63 inference(transitivity,[status(thm)],[24378, 24376])).
% 5.13/4.63 tff(24380,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s79)) | (~always3(s199)) | always3(s79))),
% 5.13/4.63 inference(quant_inst,[status(thm)],[])).
% 5.13/4.63 tff(24381,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s79) | (~trans(s199, s79))),
% 5.13/4.63 inference(modus_ponens,[status(thm)],[24380, 24379])).
% 5.13/4.63 tff(24382,plain,
% 5.13/4.63 ($false),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24381, 11606, 38, 15335, 24375])).
% 5.13/4.63 tff(24383,plain,((~trans(s199, s79)) | (~always3(s199)) | always3(s79)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.63 tff(24384,plain,
% 5.13/4.63 ((~trans(s199, s79)) | always3(s79)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24383, 15333])).
% 5.13/4.63 tff(24385,plain,
% 5.13/4.63 (~trans(s199, s79)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24384, 24233])).
% 5.13/4.63 tff(24386,plain,
% 5.13/4.63 (~trans(s199, s37)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[15453, 24276])).
% 5.13/4.63 tff(24387,plain,
% 5.13/4.63 (~trans(s199, s30)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[15464, 24283])).
% 5.13/4.63 tff(24388,plain,
% 5.13/4.63 (~trans(s199, s66)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[17794, 24246])).
% 5.13/4.63 tff(24389,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s98) | (~trans(s199, s98)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s98) | (~trans(s199, s98)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24390,plain,
% 5.13/4.63 (((~trans(s199, s98)) | (~always3(s199)) | always3(s98)) <=> ((~always3(s199)) | always3(s98) | (~trans(s199, s98)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24391,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s98)) | (~always3(s199)) | always3(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s98) | (~trans(s199, s98))))),
% 5.13/4.63 inference(monotonicity,[status(thm)],[24390])).
% 5.13/4.63 tff(24392,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s98)) | (~always3(s199)) | always3(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s98) | (~trans(s199, s98)))),
% 5.13/4.63 inference(transitivity,[status(thm)],[24391, 24389])).
% 5.13/4.63 tff(24393,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s98)) | (~always3(s199)) | always3(s98))),
% 5.13/4.63 inference(quant_inst,[status(thm)],[])).
% 5.13/4.63 tff(24394,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s98) | (~trans(s199, s98))),
% 5.13/4.63 inference(modus_ponens,[status(thm)],[24393, 24392])).
% 5.13/4.63 tff(24395,plain,
% 5.13/4.63 ($false),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24394, 11705, 38, 15335, 17160])).
% 5.13/4.63 tff(24396,plain,((~trans(s199, s98)) | (~always3(s199)) | always3(s98)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.63 tff(24397,plain,
% 5.13/4.63 ((~trans(s199, s98)) | always3(s98)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24396, 15333])).
% 5.13/4.63 tff(24398,plain,
% 5.13/4.63 (~trans(s199, s98)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24397, 24214])).
% 5.13/4.63 tff(24399,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s84) | (~trans(s199, s84)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s84) | (~trans(s199, s84)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24400,plain,
% 5.13/4.63 (((~trans(s199, s84)) | (~always3(s199)) | always3(s84)) <=> ((~always3(s199)) | always3(s84) | (~trans(s199, s84)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24401,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s84)) | (~always3(s199)) | always3(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s84) | (~trans(s199, s84))))),
% 5.13/4.63 inference(monotonicity,[status(thm)],[24400])).
% 5.13/4.63 tff(24402,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s84)) | (~always3(s199)) | always3(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s84) | (~trans(s199, s84)))),
% 5.13/4.63 inference(transitivity,[status(thm)],[24401, 24399])).
% 5.13/4.63 tff(24403,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s84)) | (~always3(s199)) | always3(s84))),
% 5.13/4.63 inference(quant_inst,[status(thm)],[])).
% 5.13/4.63 tff(24404,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s84) | (~trans(s199, s84))),
% 5.13/4.63 inference(modus_ponens,[status(thm)],[24403, 24402])).
% 5.13/4.63 tff(24405,plain,
% 5.13/4.63 ($false),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24404, 11738, 38, 15335, 16414])).
% 5.13/4.63 tff(24406,plain,((~trans(s199, s84)) | (~always3(s199)) | always3(s84)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.63 tff(24407,plain,
% 5.13/4.63 ((~trans(s199, s84)) | always3(s84)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24406, 15333])).
% 5.13/4.63 tff(24408,plain,
% 5.13/4.63 (~trans(s199, s84)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24407, 24228])).
% 5.13/4.63 tff(24409,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s105) | (~trans(s199, s105)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s105) | (~trans(s199, s105)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24410,plain,
% 5.13/4.63 (((~trans(s199, s105)) | (~always3(s199)) | always3(s105)) <=> ((~always3(s199)) | always3(s105) | (~trans(s199, s105)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24411,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s105)) | (~always3(s199)) | always3(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s105) | (~trans(s199, s105))))),
% 5.13/4.63 inference(monotonicity,[status(thm)],[24410])).
% 5.13/4.63 tff(24412,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s105)) | (~always3(s199)) | always3(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s105) | (~trans(s199, s105)))),
% 5.13/4.63 inference(transitivity,[status(thm)],[24411, 24409])).
% 5.13/4.63 tff(24413,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s105)) | (~always3(s199)) | always3(s105))),
% 5.13/4.63 inference(quant_inst,[status(thm)],[])).
% 5.13/4.63 tff(24414,plain,
% 5.13/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s105) | (~trans(s199, s105))),
% 5.13/4.63 inference(modus_ponens,[status(thm)],[24413, 24412])).
% 5.13/4.63 tff(24415,plain,
% 5.13/4.63 ($false),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24414, 11815, 38, 15335, 24177])).
% 5.13/4.63 tff(24416,plain,((~trans(s199, s105)) | (~always3(s199)) | always3(s105)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.63 tff(24417,plain,
% 5.13/4.63 ((~trans(s199, s105)) | always3(s105)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24416, 15333])).
% 5.13/4.63 tff(24418,plain,
% 5.13/4.63 (~trans(s199, s105)),
% 5.13/4.63 inference(unit_resolution,[status(thm)],[24417, 24207])).
% 5.13/4.63 tff(24419,assumption,(~always3(s107)), introduced(assumption)).
% 5.13/4.63 tff(24420,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s107) | (~trans(s199, s107)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s107) | (~trans(s199, s107)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24421,plain,
% 5.13/4.63 (((~trans(s199, s107)) | (~always3(s199)) | always3(s107)) <=> ((~always3(s199)) | always3(s107) | (~trans(s199, s107)))),
% 5.13/4.63 inference(rewrite,[status(thm)],[])).
% 5.13/4.63 tff(24422,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s107)) | (~always3(s199)) | always3(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s107) | (~trans(s199, s107))))),
% 5.13/4.63 inference(monotonicity,[status(thm)],[24421])).
% 5.13/4.63 tff(24423,plain,
% 5.13/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s107)) | (~always3(s199)) | always3(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s107) | (~trans(s199, s107)))),
% 5.13/4.64 inference(transitivity,[status(thm)],[24422, 24420])).
% 5.13/4.64 tff(24424,plain,
% 5.13/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s107)) | (~always3(s199)) | always3(s107))),
% 5.13/4.64 inference(quant_inst,[status(thm)],[])).
% 5.13/4.64 tff(24425,plain,
% 5.13/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s107) | (~trans(s199, s107))),
% 5.13/4.64 inference(modus_ponens,[status(thm)],[24424, 24423])).
% 5.13/4.64 tff(24426,plain,
% 5.13/4.64 ($false),
% 5.13/4.64 inference(unit_resolution,[status(thm)],[24425, 11826, 38, 15335, 24419])).
% 5.13/4.64 tff(24427,plain,((~trans(s199, s107)) | (~always3(s199)) | always3(s107)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.64 tff(24428,plain,
% 5.13/4.64 ((~trans(s199, s107)) | always3(s107)),
% 5.13/4.64 inference(unit_resolution,[status(thm)],[24427, 15333])).
% 5.13/4.64 tff(24429,plain,
% 5.13/4.64 (~trans(s199, s107)),
% 5.13/4.64 inference(unit_resolution,[status(thm)],[24428, 24205])).
% 5.13/4.64 tff(24430,plain,
% 5.13/4.64 (~trans(s199, s21)),
% 5.13/4.64 inference(unit_resolution,[status(thm)],[15475, 24292])).
% 5.13/4.64 tff(24431,plain,
% 5.13/4.64 (~trans(s199, s35)),
% 5.13/4.64 inference(unit_resolution,[status(thm)],[15496, 24278])).
% 5.13/4.64 tff(24432,plain,
% 5.13/4.64 (~trans(s199, s68)),
% 5.13/4.64 inference(unit_resolution,[status(thm)],[17807, 24244])).
% 5.13/4.64 tff(24433,assumption,(~always3(s94)), introduced(assumption)).
% 5.13/4.64 tff(24434,plain,
% 5.13/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s94) | (~trans(s199, s94)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s94) | (~trans(s199, s94)))),
% 5.13/4.64 inference(rewrite,[status(thm)],[])).
% 5.13/4.64 tff(24435,plain,
% 5.13/4.64 (((~trans(s199, s94)) | (~always3(s199)) | always3(s94)) <=> ((~always3(s199)) | always3(s94) | (~trans(s199, s94)))),
% 5.13/4.64 inference(rewrite,[status(thm)],[])).
% 5.13/4.64 tff(24436,plain,
% 5.13/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s94)) | (~always3(s199)) | always3(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s94) | (~trans(s199, s94))))),
% 5.13/4.64 inference(monotonicity,[status(thm)],[24435])).
% 5.13/4.64 tff(24437,plain,
% 5.13/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s94)) | (~always3(s199)) | always3(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s94) | (~trans(s199, s94)))),
% 5.13/4.64 inference(transitivity,[status(thm)],[24436, 24434])).
% 5.13/4.64 tff(24438,plain,
% 5.13/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s94)) | (~always3(s199)) | always3(s94))),
% 5.13/4.64 inference(quant_inst,[status(thm)],[])).
% 5.13/4.64 tff(24439,plain,
% 5.13/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s94) | (~trans(s199, s94))),
% 5.13/4.64 inference(modus_ponens,[status(thm)],[24438, 24437])).
% 5.13/4.64 tff(24440,plain,
% 5.13/4.64 ($false),
% 5.13/4.64 inference(unit_resolution,[status(thm)],[24439, 11914, 38, 15335, 24433])).
% 5.13/4.64 tff(24441,plain,((~trans(s199, s94)) | (~always3(s199)) | always3(s94)), inference(lemma,lemma(discharge,[]))).
% 5.13/4.64 tff(24442,plain,
% 5.13/4.64 ((~trans(s199, s94)) | always3(s94)),
% 5.13/4.64 inference(unit_resolution,[status(thm)],[24441, 15333])).
% 5.13/4.64 tff(24443,plain,
% 5.13/4.64 (~trans(s199, s94)),
% 5.13/4.64 inference(unit_resolution,[status(thm)],[24442, 24218])).
% 5.13/4.64 tff(24444,plain,
% 5.13/4.64 (~trans(s199, s19)),
% 5.13/4.64 inference(unit_resolution,[status(thm)],[15486, 24294])).
% 5.13/4.64 tff(24445,plain,
% 5.13/4.64 (~trans(s199, s34)),
% 5.13/4.64 inference(unit_resolution,[status(thm)],[15507, 24279])).
% 5.13/4.64 tff(24446,plain,
% 5.13/4.64 (~trans(s199, s26)),
% 5.13/4.64 inference(unit_resolution,[status(thm)],[15518, 24287])).
% 5.13/4.64 tff(24447,assumption,(~always3(s97)), introduced(assumption)).
% 5.13/4.64 tff(24448,plain,
% 5.13/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s97) | (~trans(s199, s97)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s97) | (~trans(s199, s97)))),
% 5.13/4.64 inference(rewrite,[status(thm)],[])).
% 5.13/4.64 tff(24449,plain,
% 5.13/4.64 (((~trans(s199, s97)) | (~always3(s199)) | always3(s97)) <=> ((~always3(s199)) | always3(s97) | (~trans(s199, s97)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24450,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s97)) | (~always3(s199)) | always3(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s97) | (~trans(s199, s97))))),
% 5.16/4.64 inference(monotonicity,[status(thm)],[24449])).
% 5.16/4.64 tff(24451,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s97)) | (~always3(s199)) | always3(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s97) | (~trans(s199, s97)))),
% 5.16/4.64 inference(transitivity,[status(thm)],[24450, 24448])).
% 5.16/4.64 tff(24452,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s97)) | (~always3(s199)) | always3(s97))),
% 5.16/4.64 inference(quant_inst,[status(thm)],[])).
% 5.16/4.64 tff(24453,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s97) | (~trans(s199, s97))),
% 5.16/4.64 inference(modus_ponens,[status(thm)],[24452, 24451])).
% 5.16/4.64 tff(24454,plain,
% 5.16/4.64 ($false),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24453, 12002, 38, 15335, 24447])).
% 5.16/4.64 tff(24455,plain,((~trans(s199, s97)) | (~always3(s199)) | always3(s97)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.64 tff(24456,plain,
% 5.16/4.64 ((~trans(s199, s97)) | always3(s97)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24455, 15333])).
% 5.16/4.64 tff(24457,plain,
% 5.16/4.64 (~trans(s199, s97)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24456, 24215])).
% 5.16/4.64 tff(24458,assumption,(~always3(s112)), introduced(assumption)).
% 5.16/4.64 tff(24459,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s112) | (~trans(s199, s112)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s112) | (~trans(s199, s112)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24460,plain,
% 5.16/4.64 (((~trans(s199, s112)) | (~always3(s199)) | always3(s112)) <=> ((~always3(s199)) | always3(s112) | (~trans(s199, s112)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24461,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s112)) | (~always3(s199)) | always3(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s112) | (~trans(s199, s112))))),
% 5.16/4.64 inference(monotonicity,[status(thm)],[24460])).
% 5.16/4.64 tff(24462,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s112)) | (~always3(s199)) | always3(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s112) | (~trans(s199, s112)))),
% 5.16/4.64 inference(transitivity,[status(thm)],[24461, 24459])).
% 5.16/4.64 tff(24463,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s112)) | (~always3(s199)) | always3(s112))),
% 5.16/4.64 inference(quant_inst,[status(thm)],[])).
% 5.16/4.64 tff(24464,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s112) | (~trans(s199, s112))),
% 5.16/4.64 inference(modus_ponens,[status(thm)],[24463, 24462])).
% 5.16/4.64 tff(24465,plain,
% 5.16/4.64 ($false),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24464, 12013, 38, 15335, 24458])).
% 5.16/4.64 tff(24466,plain,((~trans(s199, s112)) | (~always3(s199)) | always3(s112)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.64 tff(24467,plain,
% 5.16/4.64 ((~trans(s199, s112)) | always3(s112)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24466, 15333])).
% 5.16/4.64 tff(24468,plain,
% 5.16/4.64 (~trans(s199, s112)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24467, 24198])).
% 5.16/4.64 tff(24469,plain,
% 5.16/4.64 (~trans(s199, s76)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[17820, 24236])).
% 5.16/4.64 tff(24470,plain,
% 5.16/4.64 (~trans(s199, s60)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[17831, 24253])).
% 5.16/4.64 tff(24471,plain,
% 5.16/4.64 (~trans(s199, s22)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[15528, 24291])).
% 5.16/4.64 tff(24472,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s104) | (~trans(s199, s104)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s104) | (~trans(s199, s104)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24473,plain,
% 5.16/4.64 (((~trans(s199, s104)) | (~always3(s199)) | always3(s104)) <=> ((~always3(s199)) | always3(s104) | (~trans(s199, s104)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24474,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s104)) | (~always3(s199)) | always3(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s104) | (~trans(s199, s104))))),
% 5.16/4.64 inference(monotonicity,[status(thm)],[24473])).
% 5.16/4.64 tff(24475,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s104)) | (~always3(s199)) | always3(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s104) | (~trans(s199, s104)))),
% 5.16/4.64 inference(transitivity,[status(thm)],[24474, 24472])).
% 5.16/4.64 tff(24476,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s104)) | (~always3(s199)) | always3(s104))),
% 5.16/4.64 inference(quant_inst,[status(thm)],[])).
% 5.16/4.64 tff(24477,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s104) | (~trans(s199, s104))),
% 5.16/4.64 inference(modus_ponens,[status(thm)],[24476, 24475])).
% 5.16/4.64 tff(24478,plain,
% 5.16/4.64 ($false),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24477, 12057, 38, 15335, 17383])).
% 5.16/4.64 tff(24479,plain,((~trans(s199, s104)) | (~always3(s199)) | always3(s104)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.64 tff(24480,plain,
% 5.16/4.64 ((~trans(s199, s104)) | always3(s104)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24479, 15333])).
% 5.16/4.64 tff(24481,plain,
% 5.16/4.64 (~trans(s199, s104)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24480, 24208])).
% 5.16/4.64 tff(24482,plain,
% 5.16/4.64 (~trans(s199, s75)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[17843, 24237])).
% 5.16/4.64 tff(24483,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s90) | (~trans(s199, s90)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s90) | (~trans(s199, s90)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24484,plain,
% 5.16/4.64 (((~trans(s199, s90)) | (~always3(s199)) | always3(s90)) <=> ((~always3(s199)) | always3(s90) | (~trans(s199, s90)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24485,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s90)) | (~always3(s199)) | always3(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s90) | (~trans(s199, s90))))),
% 5.16/4.64 inference(monotonicity,[status(thm)],[24484])).
% 5.16/4.64 tff(24486,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s90)) | (~always3(s199)) | always3(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s90) | (~trans(s199, s90)))),
% 5.16/4.64 inference(transitivity,[status(thm)],[24485, 24483])).
% 5.16/4.64 tff(24487,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s90)) | (~always3(s199)) | always3(s90))),
% 5.16/4.64 inference(quant_inst,[status(thm)],[])).
% 5.16/4.64 tff(24488,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s90) | (~trans(s199, s90))),
% 5.16/4.64 inference(modus_ponens,[status(thm)],[24487, 24486])).
% 5.16/4.64 tff(24489,plain,
% 5.16/4.64 ($false),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24488, 12079, 38, 15335, 16976])).
% 5.16/4.64 tff(24490,plain,((~trans(s199, s90)) | (~always3(s199)) | always3(s90)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.64 tff(24491,plain,
% 5.16/4.64 ((~trans(s199, s90)) | always3(s90)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24490, 15333])).
% 5.16/4.64 tff(24492,plain,
% 5.16/4.64 (~trans(s199, s90)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24491, 24222])).
% 5.16/4.64 tff(24493,assumption,(~always3(s85)), introduced(assumption)).
% 5.16/4.64 tff(24494,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s85) | (~trans(s199, s85)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s85) | (~trans(s199, s85)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24495,plain,
% 5.16/4.64 (((~trans(s199, s85)) | (~always3(s199)) | always3(s85)) <=> ((~always3(s199)) | always3(s85) | (~trans(s199, s85)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24496,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s85)) | (~always3(s199)) | always3(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s85) | (~trans(s199, s85))))),
% 5.16/4.64 inference(monotonicity,[status(thm)],[24495])).
% 5.16/4.64 tff(24497,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s85)) | (~always3(s199)) | always3(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s85) | (~trans(s199, s85)))),
% 5.16/4.64 inference(transitivity,[status(thm)],[24496, 24494])).
% 5.16/4.64 tff(24498,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s85)) | (~always3(s199)) | always3(s85))),
% 5.16/4.64 inference(quant_inst,[status(thm)],[])).
% 5.16/4.64 tff(24499,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s85) | (~trans(s199, s85))),
% 5.16/4.64 inference(modus_ponens,[status(thm)],[24498, 24497])).
% 5.16/4.64 tff(24500,plain,
% 5.16/4.64 ($false),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24499, 12090, 38, 15335, 24493])).
% 5.16/4.64 tff(24501,plain,((~trans(s199, s85)) | (~always3(s199)) | always3(s85)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.64 tff(24502,plain,
% 5.16/4.64 ((~trans(s199, s85)) | always3(s85)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24501, 15333])).
% 5.16/4.64 tff(24503,plain,
% 5.16/4.64 (~trans(s199, s85)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24502, 24227])).
% 5.16/4.64 tff(24504,plain,
% 5.16/4.64 (~trans(s199, s42)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[15539, 24271])).
% 5.16/4.64 tff(24505,assumption,(~always3(s102)), introduced(assumption)).
% 5.16/4.64 tff(24506,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s102) | (~trans(s199, s102)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s102) | (~trans(s199, s102)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24507,plain,
% 5.16/4.64 (((~trans(s199, s102)) | (~always3(s199)) | always3(s102)) <=> ((~always3(s199)) | always3(s102) | (~trans(s199, s102)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24508,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s102)) | (~always3(s199)) | always3(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s102) | (~trans(s199, s102))))),
% 5.16/4.64 inference(monotonicity,[status(thm)],[24507])).
% 5.16/4.64 tff(24509,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s102)) | (~always3(s199)) | always3(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s102) | (~trans(s199, s102)))),
% 5.16/4.64 inference(transitivity,[status(thm)],[24508, 24506])).
% 5.16/4.64 tff(24510,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s102)) | (~always3(s199)) | always3(s102))),
% 5.16/4.64 inference(quant_inst,[status(thm)],[])).
% 5.16/4.64 tff(24511,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s102) | (~trans(s199, s102))),
% 5.16/4.64 inference(modus_ponens,[status(thm)],[24510, 24509])).
% 5.16/4.64 tff(24512,plain,
% 5.16/4.64 ($false),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24511, 12112, 38, 15335, 24505])).
% 5.16/4.64 tff(24513,plain,((~trans(s199, s102)) | (~always3(s199)) | always3(s102)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.64 tff(24514,plain,
% 5.16/4.64 ((~trans(s199, s102)) | always3(s102)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24513, 15333])).
% 5.16/4.64 tff(24515,plain,
% 5.16/4.64 (~trans(s199, s102)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24514, 24210])).
% 5.16/4.64 tff(24516,plain,
% 5.16/4.64 (~trans(s199, s27)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[15549, 24286])).
% 5.16/4.64 tff(24517,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s110) | (~trans(s199, s110)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s110) | (~trans(s199, s110)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24518,plain,
% 5.16/4.64 (((~trans(s199, s110)) | (~always3(s199)) | always3(s110)) <=> ((~always3(s199)) | always3(s110) | (~trans(s199, s110)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24519,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s110)) | (~always3(s199)) | always3(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s110) | (~trans(s199, s110))))),
% 5.16/4.64 inference(monotonicity,[status(thm)],[24518])).
% 5.16/4.64 tff(24520,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s110)) | (~always3(s199)) | always3(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s110) | (~trans(s199, s110)))),
% 5.16/4.64 inference(transitivity,[status(thm)],[24519, 24517])).
% 5.16/4.64 tff(24521,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s110)) | (~always3(s199)) | always3(s110))),
% 5.16/4.64 inference(quant_inst,[status(thm)],[])).
% 5.16/4.64 tff(24522,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s110) | (~trans(s199, s110))),
% 5.16/4.64 inference(modus_ponens,[status(thm)],[24521, 24520])).
% 5.16/4.64 tff(24523,plain,
% 5.16/4.64 ($false),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24522, 12134, 38, 15335, 17635])).
% 5.16/4.64 tff(24524,plain,((~trans(s199, s110)) | (~always3(s199)) | always3(s110)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.64 tff(24525,plain,
% 5.16/4.64 ((~trans(s199, s110)) | always3(s110)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24524, 15333])).
% 5.16/4.64 tff(24526,plain,
% 5.16/4.64 (~trans(s199, s110)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24525, 24200])).
% 5.16/4.64 tff(24527,plain,
% 5.16/4.64 (~trans(s199, s64)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[17856, 24248])).
% 5.16/4.64 tff(24528,plain,
% 5.16/4.64 (~trans(s199, s54)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[17867, 24259])).
% 5.16/4.64 tff(24529,plain,
% 5.16/4.64 (~trans(s199, s31)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[15559, 24282])).
% 5.16/4.64 tff(24530,plain,
% 5.16/4.64 (~trans(s199, s63)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[18137, 24249])).
% 5.16/4.64 tff(24531,plain,
% 5.16/4.64 (~trans(s199, s59)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[17879, 24254])).
% 5.16/4.64 tff(24532,plain,
% 5.16/4.64 (~trans(s199, s48)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[17890, 24265])).
% 5.16/4.64 tff(24533,plain,
% 5.16/4.64 (~trans(s199, s11)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[15570, 24302])).
% 5.16/4.64 tff(24534,plain,
% 5.16/4.64 (~trans(s199, s52)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[17902, 24261])).
% 5.16/4.64 tff(24535,assumption,(~always3(s99)), introduced(assumption)).
% 5.16/4.64 tff(24536,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s99) | (~trans(s199, s99)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s99) | (~trans(s199, s99)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24537,plain,
% 5.16/4.64 (((~trans(s199, s99)) | (~always3(s199)) | always3(s99)) <=> ((~always3(s199)) | always3(s99) | (~trans(s199, s99)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24538,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s99)) | (~always3(s199)) | always3(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s99) | (~trans(s199, s99))))),
% 5.16/4.64 inference(monotonicity,[status(thm)],[24537])).
% 5.16/4.64 tff(24539,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s99)) | (~always3(s199)) | always3(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s99) | (~trans(s199, s99)))),
% 5.16/4.64 inference(transitivity,[status(thm)],[24538, 24536])).
% 5.16/4.64 tff(24540,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s99)) | (~always3(s199)) | always3(s99))),
% 5.16/4.64 inference(quant_inst,[status(thm)],[])).
% 5.16/4.64 tff(24541,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s99) | (~trans(s199, s99))),
% 5.16/4.64 inference(modus_ponens,[status(thm)],[24540, 24539])).
% 5.16/4.64 tff(24542,plain,
% 5.16/4.64 ($false),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24541, 12299, 38, 15335, 24535])).
% 5.16/4.64 tff(24543,plain,((~trans(s199, s99)) | (~always3(s199)) | always3(s99)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.64 tff(24544,plain,
% 5.16/4.64 ((~trans(s199, s99)) | always3(s99)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24543, 15333])).
% 5.16/4.64 tff(24545,plain,
% 5.16/4.64 (~trans(s199, s99)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24544, 24213])).
% 5.16/4.64 tff(24546,plain,
% 5.16/4.64 (~trans(s199, s45)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[15905, 24268])).
% 5.16/4.64 tff(24547,plain,
% 5.16/4.64 (~trans(s199, s4)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[15580, 24359])).
% 5.16/4.64 tff(24548,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s81) | (~trans(s199, s81)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s81) | (~trans(s199, s81)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24549,plain,
% 5.16/4.64 (((~trans(s199, s81)) | (~always3(s199)) | always3(s81)) <=> ((~always3(s199)) | always3(s81) | (~trans(s199, s81)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24550,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s81)) | (~always3(s199)) | always3(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s81) | (~trans(s199, s81))))),
% 5.16/4.64 inference(monotonicity,[status(thm)],[24549])).
% 5.16/4.64 tff(24551,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s81)) | (~always3(s199)) | always3(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s81) | (~trans(s199, s81)))),
% 5.16/4.64 inference(transitivity,[status(thm)],[24550, 24548])).
% 5.16/4.64 tff(24552,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s81)) | (~always3(s199)) | always3(s81))),
% 5.16/4.64 inference(quant_inst,[status(thm)],[])).
% 5.16/4.64 tff(24553,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s81) | (~trans(s199, s81))),
% 5.16/4.64 inference(modus_ponens,[status(thm)],[24552, 24551])).
% 5.16/4.64 tff(24554,plain,
% 5.16/4.64 ($false),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24553, 12332, 38, 15335, 16616])).
% 5.16/4.64 tff(24555,plain,((~trans(s199, s81)) | (~always3(s199)) | always3(s81)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.64 tff(24556,plain,
% 5.16/4.64 ((~trans(s199, s81)) | always3(s81)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24555, 15333])).
% 5.16/4.64 tff(24557,plain,
% 5.16/4.64 (~trans(s199, s81)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24556, 24231])).
% 5.16/4.64 tff(24558,plain,
% 5.16/4.64 (~trans(s199, s43)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[15591, 24270])).
% 5.16/4.64 tff(24559,plain,
% 5.16/4.64 (~trans(s199, s70)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[17916, 24242])).
% 5.16/4.64 tff(24560,plain,
% 5.16/4.64 (~trans(s199, s67)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[17927, 24245])).
% 5.16/4.64 tff(24561,plain,
% 5.16/4.64 (~trans(s199, s56)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[17938, 24257])).
% 5.16/4.64 tff(24562,plain,
% 5.16/4.64 (~trans(s199, s12)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[15601, 24301])).
% 5.16/4.64 tff(24563,plain,
% 5.16/4.64 (~trans(s199, s69)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[17950, 24243])).
% 5.16/4.64 tff(24564,plain,
% 5.16/4.64 (~trans(s199, s51)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[17961, 24262])).
% 5.16/4.64 tff(24565,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s80) | (~trans(s199, s80)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s80) | (~trans(s199, s80)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24566,plain,
% 5.16/4.64 (((~trans(s199, s80)) | (~always3(s199)) | always3(s80)) <=> ((~always3(s199)) | always3(s80) | (~trans(s199, s80)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24567,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s80)) | (~always3(s199)) | always3(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s80) | (~trans(s199, s80))))),
% 5.16/4.64 inference(monotonicity,[status(thm)],[24566])).
% 5.16/4.64 tff(24568,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s80)) | (~always3(s199)) | always3(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s80) | (~trans(s199, s80)))),
% 5.16/4.64 inference(transitivity,[status(thm)],[24567, 24565])).
% 5.16/4.64 tff(24569,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s80)) | (~always3(s199)) | always3(s80))),
% 5.16/4.64 inference(quant_inst,[status(thm)],[])).
% 5.16/4.64 tff(24570,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s80) | (~trans(s199, s80))),
% 5.16/4.64 inference(modus_ponens,[status(thm)],[24569, 24568])).
% 5.16/4.64 tff(24571,plain,
% 5.16/4.64 ($false),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24570, 12442, 38, 15335, 16672])).
% 5.16/4.64 tff(24572,plain,((~trans(s199, s80)) | (~always3(s199)) | always3(s80)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.64 tff(24573,plain,
% 5.16/4.64 ((~trans(s199, s80)) | always3(s80)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24572, 15333])).
% 5.16/4.64 tff(24574,plain,
% 5.16/4.64 (~trans(s199, s80)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24573, 24232])).
% 5.16/4.64 tff(24575,plain,
% 5.16/4.64 (~trans(s199, s3)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[15611, 24360])).
% 5.16/4.64 tff(24576,plain,
% 5.16/4.64 (~trans(s199, s72)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[17973, 24240])).
% 5.16/4.64 tff(24577,plain,
% 5.16/4.64 (~trans(s199, s29)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[15622, 24284])).
% 5.16/4.64 tff(24578,assumption,(~always3(s86)), introduced(assumption)).
% 5.16/4.64 tff(24579,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s86) | (~trans(s199, s86)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s86) | (~trans(s199, s86)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24580,plain,
% 5.16/4.64 (((~trans(s199, s86)) | (~always3(s199)) | always3(s86)) <=> ((~always3(s199)) | always3(s86) | (~trans(s199, s86)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24581,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s86)) | (~always3(s199)) | always3(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s86) | (~trans(s199, s86))))),
% 5.16/4.64 inference(monotonicity,[status(thm)],[24580])).
% 5.16/4.64 tff(24582,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s86)) | (~always3(s199)) | always3(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s86) | (~trans(s199, s86)))),
% 5.16/4.64 inference(transitivity,[status(thm)],[24581, 24579])).
% 5.16/4.64 tff(24583,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s86)) | (~always3(s199)) | always3(s86))),
% 5.16/4.64 inference(quant_inst,[status(thm)],[])).
% 5.16/4.64 tff(24584,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s86) | (~trans(s199, s86))),
% 5.16/4.64 inference(modus_ponens,[status(thm)],[24583, 24582])).
% 5.16/4.64 tff(24585,plain,
% 5.16/4.64 ($false),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24584, 12519, 38, 15335, 24578])).
% 5.16/4.64 tff(24586,plain,((~trans(s199, s86)) | (~always3(s199)) | always3(s86)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.64 tff(24587,plain,
% 5.16/4.64 ((~trans(s199, s86)) | always3(s86)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24586, 15333])).
% 5.16/4.64 tff(24588,plain,
% 5.16/4.64 (~trans(s199, s86)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24587, 24226])).
% 5.16/4.64 tff(24589,plain,
% 5.16/4.64 (~trans(s199, s57)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[17985, 24256])).
% 5.16/4.64 tff(24590,plain,
% 5.16/4.64 (~trans(s199, s23)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[15633, 24290])).
% 5.16/4.64 tff(24591,plain,
% 5.16/4.64 (~trans(s199, s65)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[17997, 24247])).
% 5.16/4.64 tff(24592,plain,
% 5.16/4.64 (~trans(s199, s74)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[18008, 24238])).
% 5.16/4.64 tff(24593,plain,
% 5.16/4.64 (~trans(s199, s2)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[15643, 24361])).
% 5.16/4.64 tff(24594,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s101) | (~trans(s199, s101)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s101) | (~trans(s199, s101)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24595,plain,
% 5.16/4.64 (((~trans(s199, s101)) | (~always3(s199)) | always3(s101)) <=> ((~always3(s199)) | always3(s101) | (~trans(s199, s101)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24596,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s101)) | (~always3(s199)) | always3(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s101) | (~trans(s199, s101))))),
% 5.16/4.64 inference(monotonicity,[status(thm)],[24595])).
% 5.16/4.64 tff(24597,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s101)) | (~always3(s199)) | always3(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s101) | (~trans(s199, s101)))),
% 5.16/4.64 inference(transitivity,[status(thm)],[24596, 24594])).
% 5.16/4.64 tff(24598,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s101)) | (~always3(s199)) | always3(s101))),
% 5.16/4.64 inference(quant_inst,[status(thm)],[])).
% 5.16/4.64 tff(24599,plain,
% 5.16/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s101) | (~trans(s199, s101))),
% 5.16/4.64 inference(modus_ponens,[status(thm)],[24598, 24597])).
% 5.16/4.64 tff(24600,plain,
% 5.16/4.64 ($false),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24599, 12673, 38, 15335, 17046])).
% 5.16/4.64 tff(24601,plain,((~trans(s199, s101)) | (~always3(s199)) | always3(s101)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.64 tff(24602,plain,
% 5.16/4.64 ((~trans(s199, s101)) | always3(s101)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24601, 15333])).
% 5.16/4.64 tff(24603,plain,
% 5.16/4.64 (~trans(s199, s101)),
% 5.16/4.64 inference(unit_resolution,[status(thm)],[24602, 24211])).
% 5.16/4.64 tff(24604,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s77) | (~trans(s199, s77)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s77) | (~trans(s199, s77)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24605,plain,
% 5.16/4.64 (((~trans(s199, s77)) | (~always3(s199)) | always3(s77)) <=> ((~always3(s199)) | always3(s77) | (~trans(s199, s77)))),
% 5.16/4.64 inference(rewrite,[status(thm)],[])).
% 5.16/4.64 tff(24606,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s77)) | (~always3(s199)) | always3(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s77) | (~trans(s199, s77))))),
% 5.16/4.64 inference(monotonicity,[status(thm)],[24605])).
% 5.16/4.64 tff(24607,plain,
% 5.16/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s77)) | (~always3(s199)) | always3(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s77) | (~trans(s199, s77)))),
% 5.16/4.65 inference(transitivity,[status(thm)],[24606, 24604])).
% 5.16/4.65 tff(24608,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s77)) | (~always3(s199)) | always3(s77))),
% 5.16/4.65 inference(quant_inst,[status(thm)],[])).
% 5.16/4.65 tff(24609,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s77) | (~trans(s199, s77))),
% 5.16/4.65 inference(modus_ponens,[status(thm)],[24608, 24607])).
% 5.16/4.65 tff(24610,plain,
% 5.16/4.65 ($false),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24609, 12684, 38, 15335, 16800])).
% 5.16/4.65 tff(24611,plain,((~trans(s199, s77)) | (~always3(s199)) | always3(s77)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.65 tff(24612,plain,
% 5.16/4.65 ((~trans(s199, s77)) | always3(s77)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24611, 15333])).
% 5.16/4.65 tff(24613,plain,
% 5.16/4.65 (~trans(s199, s77)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24612, 24235])).
% 5.16/4.65 tff(24614,plain,
% 5.16/4.65 (~trans(s199, s33)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[15654, 24280])).
% 5.16/4.65 tff(24615,plain,
% 5.16/4.65 (~trans(s199, s40)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[15665, 24273])).
% 5.16/4.65 tff(24616,plain,
% 5.16/4.65 (~trans(s199, s44)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[15675, 24269])).
% 5.16/4.65 tff(24617,plain,
% 5.16/4.65 (~trans(s199, s20)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[15685, 24293])).
% 5.16/4.65 tff(24618,plain,
% 5.16/4.65 (~trans(s199, s55)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[18025, 24258])).
% 5.16/4.65 tff(24619,plain,
% 5.16/4.65 (~trans(s199, s10)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[15708, 24303])).
% 5.16/4.65 tff(24620,plain,
% 5.16/4.65 (~trans(s199, s41)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[15719, 24272])).
% 5.16/4.65 tff(24621,assumption,(~always3(s91)), introduced(assumption)).
% 5.16/4.65 tff(24622,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s91) | (~trans(s199, s91)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s91) | (~trans(s199, s91)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24623,plain,
% 5.16/4.65 (((~trans(s199, s91)) | (~always3(s199)) | always3(s91)) <=> ((~always3(s199)) | always3(s91) | (~trans(s199, s91)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24624,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s91)) | (~always3(s199)) | always3(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s91) | (~trans(s199, s91))))),
% 5.16/4.65 inference(monotonicity,[status(thm)],[24623])).
% 5.16/4.65 tff(24625,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s91)) | (~always3(s199)) | always3(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s91) | (~trans(s199, s91)))),
% 5.16/4.65 inference(transitivity,[status(thm)],[24624, 24622])).
% 5.16/4.65 tff(24626,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s91)) | (~always3(s199)) | always3(s91))),
% 5.16/4.65 inference(quant_inst,[status(thm)],[])).
% 5.16/4.65 tff(24627,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s91) | (~trans(s199, s91))),
% 5.16/4.65 inference(modus_ponens,[status(thm)],[24626, 24625])).
% 5.16/4.65 tff(24628,plain,
% 5.16/4.65 ($false),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24627, 12849, 38, 15335, 24621])).
% 5.16/4.65 tff(24629,plain,((~trans(s199, s91)) | (~always3(s199)) | always3(s91)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.65 tff(24630,plain,
% 5.16/4.65 ((~trans(s199, s91)) | always3(s91)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24629, 15333])).
% 5.16/4.65 tff(24631,plain,
% 5.16/4.65 (~trans(s199, s91)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24630, 24221])).
% 5.16/4.65 tff(24632,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s106) | (~trans(s199, s106)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s106) | (~trans(s199, s106)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24633,plain,
% 5.16/4.65 (((~trans(s199, s106)) | (~always3(s199)) | always3(s106)) <=> ((~always3(s199)) | always3(s106) | (~trans(s199, s106)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24634,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s106)) | (~always3(s199)) | always3(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s106) | (~trans(s199, s106))))),
% 5.16/4.65 inference(monotonicity,[status(thm)],[24633])).
% 5.16/4.65 tff(24635,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s106)) | (~always3(s199)) | always3(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s106) | (~trans(s199, s106)))),
% 5.16/4.65 inference(transitivity,[status(thm)],[24634, 24632])).
% 5.16/4.65 tff(24636,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s106)) | (~always3(s199)) | always3(s106))),
% 5.16/4.65 inference(quant_inst,[status(thm)],[])).
% 5.16/4.65 tff(24637,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s106) | (~trans(s199, s106))),
% 5.16/4.65 inference(modus_ponens,[status(thm)],[24636, 24635])).
% 5.16/4.65 tff(24638,plain,
% 5.16/4.65 ($false),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24637, 12860, 38, 15335, 17452])).
% 5.16/4.65 tff(24639,plain,((~trans(s199, s106)) | (~always3(s199)) | always3(s106)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.65 tff(24640,plain,
% 5.16/4.65 ((~trans(s199, s106)) | always3(s106)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24639, 15333])).
% 5.16/4.65 tff(24641,plain,
% 5.16/4.65 (~trans(s199, s106)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24640, 24206])).
% 5.16/4.65 tff(24642,plain,
% 5.16/4.65 (~trans(s199, s47)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[18038, 24266])).
% 5.16/4.65 tff(24643,plain,
% 5.16/4.65 (~trans(s199, s28)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[15741, 24285])).
% 5.16/4.65 tff(24644,plain,
% 5.16/4.65 (~trans(s199, s71)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[18050, 24241])).
% 5.16/4.65 tff(24645,assumption,(~always3(s89)), introduced(assumption)).
% 5.16/4.65 tff(24646,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s89) | (~trans(s199, s89)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s89) | (~trans(s199, s89)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24647,plain,
% 5.16/4.65 (((~trans(s199, s89)) | (~always3(s199)) | always3(s89)) <=> ((~always3(s199)) | always3(s89) | (~trans(s199, s89)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24648,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s89)) | (~always3(s199)) | always3(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s89) | (~trans(s199, s89))))),
% 5.16/4.65 inference(monotonicity,[status(thm)],[24647])).
% 5.16/4.65 tff(24649,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s89)) | (~always3(s199)) | always3(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s89) | (~trans(s199, s89)))),
% 5.16/4.65 inference(transitivity,[status(thm)],[24648, 24646])).
% 5.16/4.65 tff(24650,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s89)) | (~always3(s199)) | always3(s89))),
% 5.16/4.65 inference(quant_inst,[status(thm)],[])).
% 5.16/4.65 tff(24651,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s89) | (~trans(s199, s89))),
% 5.16/4.65 inference(modus_ponens,[status(thm)],[24650, 24649])).
% 5.16/4.65 tff(24652,plain,
% 5.16/4.65 ($false),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24651, 12937, 38, 15335, 24645])).
% 5.16/4.65 tff(24653,plain,((~trans(s199, s89)) | (~always3(s199)) | always3(s89)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.65 tff(24654,plain,
% 5.16/4.65 ((~trans(s199, s89)) | always3(s89)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24653, 15333])).
% 5.16/4.65 tff(24655,plain,
% 5.16/4.65 (~trans(s199, s89)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24654, 24223])).
% 5.16/4.65 tff(24656,plain,
% 5.16/4.65 (~trans(s199, s53)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[18061, 24260])).
% 5.16/4.65 tff(24657,plain,
% 5.16/4.65 (~trans(s199, s24)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[15751, 24289])).
% 5.16/4.65 tff(24658,plain,
% 5.16/4.65 (~trans(s199, s25)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[15761, 24288])).
% 5.16/4.65 tff(24659,plain,
% 5.16/4.65 (~trans(s199, s62)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[18074, 24250])).
% 5.16/4.65 tff(24660,plain,
% 5.16/4.65 (~trans(s199, s17)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[15771, 24296])).
% 5.16/4.65 tff(24661,plain,
% 5.16/4.65 (~trans(s199, s9)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[15781, 24304])).
% 5.16/4.65 tff(24662,plain,
% 5.16/4.65 (~trans(s199, s73)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[18087, 24239])).
% 5.16/4.65 tff(24663,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s92) | (~trans(s199, s92)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s92) | (~trans(s199, s92)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24664,plain,
% 5.16/4.65 (((~trans(s199, s92)) | (~always3(s199)) | always3(s92)) <=> ((~always3(s199)) | always3(s92) | (~trans(s199, s92)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24665,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s92)) | (~always3(s199)) | always3(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s92) | (~trans(s199, s92))))),
% 5.16/4.65 inference(monotonicity,[status(thm)],[24664])).
% 5.16/4.65 tff(24666,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s92)) | (~always3(s199)) | always3(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s92) | (~trans(s199, s92)))),
% 5.16/4.65 inference(transitivity,[status(thm)],[24665, 24663])).
% 5.16/4.65 tff(24667,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s92)) | (~always3(s199)) | always3(s92))),
% 5.16/4.65 inference(quant_inst,[status(thm)],[])).
% 5.16/4.65 tff(24668,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s92) | (~trans(s199, s92))),
% 5.16/4.65 inference(modus_ponens,[status(thm)],[24667, 24666])).
% 5.16/4.65 tff(24669,plain,
% 5.16/4.65 ($false),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24668, 13058, 38, 15335, 17316])).
% 5.16/4.65 tff(24670,plain,((~trans(s199, s92)) | (~always3(s199)) | always3(s92)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.65 tff(24671,plain,
% 5.16/4.65 ((~trans(s199, s92)) | always3(s92)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24670, 15333])).
% 5.16/4.65 tff(24672,plain,
% 5.16/4.65 (~trans(s199, s92)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24671, 24220])).
% 5.16/4.65 tff(24673,plain,
% 5.16/4.65 (~trans(s199, s49)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[18098, 24264])).
% 5.16/4.65 tff(24674,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s78) | (~trans(s199, s78)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s78) | (~trans(s199, s78)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24675,plain,
% 5.16/4.65 (((~trans(s199, s78)) | (~always3(s199)) | always3(s78)) <=> ((~always3(s199)) | always3(s78) | (~trans(s199, s78)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24676,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s78)) | (~always3(s199)) | always3(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s78) | (~trans(s199, s78))))),
% 5.16/4.65 inference(monotonicity,[status(thm)],[24675])).
% 5.16/4.65 tff(24677,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s78)) | (~always3(s199)) | always3(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s78) | (~trans(s199, s78)))),
% 5.16/4.65 inference(transitivity,[status(thm)],[24676, 24674])).
% 5.16/4.65 tff(24678,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s78)) | (~always3(s199)) | always3(s78))),
% 5.16/4.65 inference(quant_inst,[status(thm)],[])).
% 5.16/4.65 tff(24679,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s78) | (~trans(s199, s78))),
% 5.16/4.65 inference(modus_ponens,[status(thm)],[24678, 24677])).
% 5.16/4.65 tff(24680,plain,
% 5.16/4.65 ($false),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24679, 13091, 38, 15335, 16756])).
% 5.16/4.65 tff(24681,plain,((~trans(s199, s78)) | (~always3(s199)) | always3(s78)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.65 tff(24682,plain,
% 5.16/4.65 ((~trans(s199, s78)) | always3(s78)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24681, 15333])).
% 5.16/4.65 tff(24683,plain,
% 5.16/4.65 (~trans(s199, s78)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24682, 24234])).
% 5.16/4.65 tff(24684,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s103) | (~trans(s199, s103)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s103) | (~trans(s199, s103)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24685,plain,
% 5.16/4.65 (((~trans(s199, s103)) | (~always3(s199)) | always3(s103)) <=> ((~always3(s199)) | always3(s103) | (~trans(s199, s103)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24686,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s103)) | (~always3(s199)) | always3(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s103) | (~trans(s199, s103))))),
% 5.16/4.65 inference(monotonicity,[status(thm)],[24685])).
% 5.16/4.65 tff(24687,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s103)) | (~always3(s199)) | always3(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s103) | (~trans(s199, s103)))),
% 5.16/4.65 inference(transitivity,[status(thm)],[24686, 24684])).
% 5.16/4.65 tff(24688,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s103)) | (~always3(s199)) | always3(s103))),
% 5.16/4.65 inference(quant_inst,[status(thm)],[])).
% 5.16/4.65 tff(24689,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s103) | (~trans(s199, s103))),
% 5.16/4.65 inference(modus_ponens,[status(thm)],[24688, 24687])).
% 5.16/4.65 tff(24690,plain,
% 5.16/4.65 ($false),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24689, 13113, 38, 15335, 6475])).
% 5.16/4.65 tff(24691,plain,((~trans(s199, s103)) | (~always3(s199)) | always3(s103)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.65 tff(24692,plain,
% 5.16/4.65 ((~trans(s199, s103)) | always3(s103)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24691, 15333])).
% 5.16/4.65 tff(24693,plain,
% 5.16/4.65 (~trans(s199, s103)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24692, 24209])).
% 5.16/4.65 tff(24694,assumption,(~always3(s111)), introduced(assumption)).
% 5.16/4.65 tff(24695,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s111) | (~trans(s199, s111)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s111) | (~trans(s199, s111)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24696,plain,
% 5.16/4.65 (((~trans(s199, s111)) | (~always3(s199)) | always3(s111)) <=> ((~always3(s199)) | always3(s111) | (~trans(s199, s111)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24697,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s111)) | (~always3(s199)) | always3(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s111) | (~trans(s199, s111))))),
% 5.16/4.65 inference(monotonicity,[status(thm)],[24696])).
% 5.16/4.65 tff(24698,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s111)) | (~always3(s199)) | always3(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s111) | (~trans(s199, s111)))),
% 5.16/4.65 inference(transitivity,[status(thm)],[24697, 24695])).
% 5.16/4.65 tff(24699,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s111)) | (~always3(s199)) | always3(s111))),
% 5.16/4.65 inference(quant_inst,[status(thm)],[])).
% 5.16/4.65 tff(24700,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s111) | (~trans(s199, s111))),
% 5.16/4.65 inference(modus_ponens,[status(thm)],[24699, 24698])).
% 5.16/4.65 tff(24701,plain,
% 5.16/4.65 ($false),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24700, 13124, 38, 15335, 24694])).
% 5.16/4.65 tff(24702,plain,((~trans(s199, s111)) | (~always3(s199)) | always3(s111)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.65 tff(24703,plain,
% 5.16/4.65 ((~trans(s199, s111)) | always3(s111)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24702, 15333])).
% 5.16/4.65 tff(24704,plain,
% 5.16/4.65 (~trans(s199, s111)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24703, 24199])).
% 5.16/4.65 tff(24705,plain,
% 5.16/4.65 (~trans(s199, s58)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[18109, 24255])).
% 5.16/4.65 tff(24706,plain,
% 5.16/4.65 (~trans(s199, s18)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[15802, 24295])).
% 5.16/4.65 tff(24707,plain,
% 5.16/4.65 (~trans(s199, s14)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[15813, 24299])).
% 5.16/4.65 tff(24708,assumption,(~always3(s109)), introduced(assumption)).
% 5.16/4.65 tff(24709,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s109) | (~trans(s199, s109)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s109) | (~trans(s199, s109)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24710,plain,
% 5.16/4.65 (((~trans(s199, s109)) | (~always3(s199)) | always3(s109)) <=> ((~always3(s199)) | always3(s109) | (~trans(s199, s109)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24711,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s109)) | (~always3(s199)) | always3(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s109) | (~trans(s199, s109))))),
% 5.16/4.65 inference(monotonicity,[status(thm)],[24710])).
% 5.16/4.65 tff(24712,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s109)) | (~always3(s199)) | always3(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s109) | (~trans(s199, s109)))),
% 5.16/4.65 inference(transitivity,[status(thm)],[24711, 24709])).
% 5.16/4.65 tff(24713,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s109)) | (~always3(s199)) | always3(s109))),
% 5.16/4.65 inference(quant_inst,[status(thm)],[])).
% 5.16/4.65 tff(24714,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s109) | (~trans(s199, s109))),
% 5.16/4.65 inference(modus_ponens,[status(thm)],[24713, 24712])).
% 5.16/4.65 tff(24715,plain,
% 5.16/4.65 ($false),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24714, 13168, 38, 15335, 24708])).
% 5.16/4.65 tff(24716,plain,((~trans(s199, s109)) | (~always3(s199)) | always3(s109)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.65 tff(24717,plain,
% 5.16/4.65 ((~trans(s199, s109)) | always3(s109)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24716, 15333])).
% 5.16/4.65 tff(24718,plain,
% 5.16/4.65 (~trans(s199, s109)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24717, 24201])).
% 5.16/4.65 tff(24719,plain,
% 5.16/4.65 (~trans(s199, s13)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[15792, 24300])).
% 5.16/4.65 tff(24720,plain,
% 5.16/4.65 (~trans(s199, s39)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[15730, 24274])).
% 5.16/4.65 tff(24721,plain,
% 5.16/4.65 (~trans(s199, s36)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[15397, 24277])).
% 5.16/4.65 tff(24722,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s87) | (~trans(s199, s87)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s87) | (~trans(s199, s87)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24723,plain,
% 5.16/4.65 (((~trans(s199, s87)) | (~always3(s199)) | always3(s87)) <=> ((~always3(s199)) | always3(s87) | (~trans(s199, s87)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24724,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s87)) | (~always3(s199)) | always3(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s87) | (~trans(s199, s87))))),
% 5.16/4.65 inference(monotonicity,[status(thm)],[24723])).
% 5.16/4.65 tff(24725,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s87)) | (~always3(s199)) | always3(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s87) | (~trans(s199, s87)))),
% 5.16/4.65 inference(transitivity,[status(thm)],[24724, 24722])).
% 5.16/4.65 tff(24726,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s87)) | (~always3(s199)) | always3(s87))),
% 5.16/4.65 inference(quant_inst,[status(thm)],[])).
% 5.16/4.65 tff(24727,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s87) | (~trans(s199, s87))),
% 5.16/4.65 inference(modus_ponens,[status(thm)],[24726, 24725])).
% 5.16/4.65 tff(24728,plain,
% 5.16/4.65 ($false),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24727, 13234, 38, 15335, 16340])).
% 5.16/4.65 tff(24729,plain,((~trans(s199, s87)) | (~always3(s199)) | always3(s87)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.65 tff(24730,plain,
% 5.16/4.65 ((~trans(s199, s87)) | always3(s87)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24729, 15333])).
% 5.16/4.65 tff(24731,plain,
% 5.16/4.65 (~trans(s199, s87)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24730, 24225])).
% 5.16/4.65 tff(24732,plain,
% 5.16/4.65 (~trans(s199, s50)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[18125, 24263])).
% 5.16/4.65 tff(24733,assumption,(~always3(s83)), introduced(assumption)).
% 5.16/4.65 tff(24734,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s83) | (~trans(s199, s83)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s83) | (~trans(s199, s83)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24735,plain,
% 5.16/4.65 (((~trans(s199, s83)) | (~always3(s199)) | always3(s83)) <=> ((~always3(s199)) | always3(s83) | (~trans(s199, s83)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24736,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s83)) | (~always3(s199)) | always3(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s83) | (~trans(s199, s83))))),
% 5.16/4.65 inference(monotonicity,[status(thm)],[24735])).
% 5.16/4.65 tff(24737,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s83)) | (~always3(s199)) | always3(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s83) | (~trans(s199, s83)))),
% 5.16/4.65 inference(transitivity,[status(thm)],[24736, 24734])).
% 5.16/4.65 tff(24738,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s83)) | (~always3(s199)) | always3(s83))),
% 5.16/4.65 inference(quant_inst,[status(thm)],[])).
% 5.16/4.65 tff(24739,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s83) | (~trans(s199, s83))),
% 5.16/4.65 inference(modus_ponens,[status(thm)],[24738, 24737])).
% 5.16/4.65 tff(24740,plain,
% 5.16/4.65 ($false),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24739, 13278, 38, 15335, 24733])).
% 5.16/4.65 tff(24741,plain,((~trans(s199, s83)) | (~always3(s199)) | always3(s83)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.65 tff(24742,plain,
% 5.16/4.65 ((~trans(s199, s83)) | always3(s83)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24741, 15333])).
% 5.16/4.65 tff(24743,plain,
% 5.16/4.65 (~trans(s199, s83)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24742, 24229])).
% 5.16/4.65 tff(24744,assumption,(~always3(s100)), introduced(assumption)).
% 5.16/4.65 tff(24745,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s100) | (~trans(s199, s100)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s100) | (~trans(s199, s100)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24746,plain,
% 5.16/4.65 (((~trans(s199, s100)) | (~always3(s199)) | always3(s100)) <=> ((~always3(s199)) | always3(s100) | (~trans(s199, s100)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24747,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s100)) | (~always3(s199)) | always3(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s100) | (~trans(s199, s100))))),
% 5.16/4.65 inference(monotonicity,[status(thm)],[24746])).
% 5.16/4.65 tff(24748,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s100)) | (~always3(s199)) | always3(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s100) | (~trans(s199, s100)))),
% 5.16/4.65 inference(transitivity,[status(thm)],[24747, 24745])).
% 5.16/4.65 tff(24749,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s100)) | (~always3(s199)) | always3(s100))),
% 5.16/4.65 inference(quant_inst,[status(thm)],[])).
% 5.16/4.65 tff(24750,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s100) | (~trans(s199, s100))),
% 5.16/4.65 inference(modus_ponens,[status(thm)],[24749, 24748])).
% 5.16/4.65 tff(24751,plain,
% 5.16/4.65 ($false),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24750, 13289, 38, 15335, 24744])).
% 5.16/4.65 tff(24752,plain,((~trans(s199, s100)) | (~always3(s199)) | always3(s100)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.65 tff(24753,plain,
% 5.16/4.65 ((~trans(s199, s100)) | always3(s100)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24752, 15333])).
% 5.16/4.65 tff(24754,plain,
% 5.16/4.65 (~trans(s199, s100)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24753, 24212])).
% 5.16/4.65 tff(24755,plain,
% 5.16/4.65 (~always3(s0)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[506, 24362])).
% 5.16/4.65 tff(24756,plain,
% 5.16/4.65 (~trans(s199, s0)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[15697, 24755])).
% 5.16/4.65 tff(24757,plain,
% 5.16/4.65 (xuntil6(s113)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[18168, 24197, 18146])).
% 5.16/4.65 tff(24758,plain,
% 5.16/4.65 (until5(s114)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[7758, 24757])).
% 5.16/4.65 tff(24759,plain,
% 5.16/4.65 (xuntil6(s115)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[18273, 24758, 18264])).
% 5.16/4.65 tff(24760,plain,
% 5.16/4.65 (until5(s116)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[7792, 24759])).
% 5.16/4.65 tff(24761,plain,
% 5.16/4.65 (xuntil6(s117)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[18455, 24760, 18146])).
% 5.16/4.65 tff(24762,plain,
% 5.16/4.65 (until5(s118)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[7826, 24761])).
% 5.16/4.65 tff(24763,assumption,(~always3(s114)), introduced(assumption)).
% 5.16/4.65 tff(24764,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s114) | (~trans(s199, s114)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s114) | (~trans(s199, s114)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24765,plain,
% 5.16/4.65 (((~trans(s199, s114)) | (~always3(s199)) | always3(s114)) <=> ((~always3(s199)) | always3(s114) | (~trans(s199, s114)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24766,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s114)) | (~always3(s199)) | always3(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s114) | (~trans(s199, s114))))),
% 5.16/4.65 inference(monotonicity,[status(thm)],[24765])).
% 5.16/4.65 tff(24767,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s114)) | (~always3(s199)) | always3(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s114) | (~trans(s199, s114)))),
% 5.16/4.65 inference(transitivity,[status(thm)],[24766, 24764])).
% 5.16/4.65 tff(24768,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s114)) | (~always3(s199)) | always3(s114))),
% 5.16/4.65 inference(quant_inst,[status(thm)],[])).
% 5.16/4.65 tff(24769,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s114) | (~trans(s199, s114))),
% 5.16/4.65 inference(modus_ponens,[status(thm)],[24768, 24767])).
% 5.16/4.65 tff(24770,plain,
% 5.16/4.65 ($false),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24769, 11683, 38, 15335, 24763])).
% 5.16/4.65 tff(24771,plain,((~trans(s199, s114)) | (~always3(s199)) | always3(s114)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.65 tff(24772,plain,
% 5.16/4.65 ((~trans(s199, s114)) | always3(s114)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24771, 15333])).
% 5.16/4.65 tff(24773,plain,
% 5.16/4.65 (~trans(s199, s114)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24772, 18265])).
% 5.16/4.65 tff(24774,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s113) | (~trans(s199, s113)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s113) | (~trans(s199, s113)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24775,plain,
% 5.16/4.65 (((~trans(s199, s113)) | (~always3(s199)) | always3(s113)) <=> ((~always3(s199)) | always3(s113) | (~trans(s199, s113)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24776,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s113)) | (~always3(s199)) | always3(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s113) | (~trans(s199, s113))))),
% 5.16/4.65 inference(monotonicity,[status(thm)],[24775])).
% 5.16/4.65 tff(24777,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s113)) | (~always3(s199)) | always3(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s113) | (~trans(s199, s113)))),
% 5.16/4.65 inference(transitivity,[status(thm)],[24776, 24774])).
% 5.16/4.65 tff(24778,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s113)) | (~always3(s199)) | always3(s113))),
% 5.16/4.65 inference(quant_inst,[status(thm)],[])).
% 5.16/4.65 tff(24779,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s113) | (~trans(s199, s113))),
% 5.16/4.65 inference(modus_ponens,[status(thm)],[24778, 24777])).
% 5.16/4.65 tff(24780,plain,
% 5.16/4.65 ($false),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24779, 12651, 38, 15335, 18155])).
% 5.16/4.65 tff(24781,plain,((~trans(s199, s113)) | (~always3(s199)) | always3(s113)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.65 tff(24782,plain,
% 5.16/4.65 ((~trans(s199, s113)) | always3(s113)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24781, 15333])).
% 5.16/4.65 tff(24783,plain,
% 5.16/4.65 (~trans(s199, s113)),
% 5.16/4.65 inference(unit_resolution,[status(thm)],[24782, 24197])).
% 5.16/4.65 tff(24784,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s115) | (~trans(s199, s115)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s115) | (~trans(s199, s115)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24785,plain,
% 5.16/4.65 (((~trans(s199, s115)) | (~always3(s199)) | always3(s115)) <=> ((~always3(s199)) | always3(s115) | (~trans(s199, s115)))),
% 5.16/4.65 inference(rewrite,[status(thm)],[])).
% 5.16/4.65 tff(24786,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s115)) | (~always3(s199)) | always3(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s115) | (~trans(s199, s115))))),
% 5.16/4.65 inference(monotonicity,[status(thm)],[24785])).
% 5.16/4.65 tff(24787,plain,
% 5.16/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s115)) | (~always3(s199)) | always3(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s115) | (~trans(s199, s115)))),
% 5.16/4.65 inference(transitivity,[status(thm)],[24786, 24784])).
% 5.16/4.65 tff(24788,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s115)) | (~always3(s199)) | always3(s115))),
% 5.16/4.65 inference(quant_inst,[status(thm)],[])).
% 5.16/4.65 tff(24789,plain,
% 5.16/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s115) | (~trans(s199, s115))),
% 5.16/4.66 inference(modus_ponens,[status(thm)],[24788, 24787])).
% 5.16/4.66 tff(24790,plain,
% 5.16/4.66 ($false),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24789, 12871, 38, 15335, 18264])).
% 5.16/4.66 tff(24791,plain,((~trans(s199, s115)) | (~always3(s199)) | always3(s115)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.66 tff(24792,plain,
% 5.16/4.66 ((~trans(s199, s115)) | always3(s115)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24791, 15333])).
% 5.16/4.66 tff(24793,plain,
% 5.16/4.66 (~trans(s199, s115)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24792, 18264])).
% 5.16/4.66 tff(24794,plain,
% 5.16/4.66 (~until2p7(s199)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8297, 18474])).
% 5.16/4.66 tff(24795,plain,
% 5.16/4.66 (~xuntil2p8(s198)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8312, 24794])).
% 5.16/4.66 tff(24796,plain,
% 5.16/4.66 (~until2p7(s198)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8317, 24795])).
% 5.16/4.66 tff(24797,plain,
% 5.16/4.66 (~xuntil2p8(s197)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8322, 24796])).
% 5.16/4.66 tff(24798,plain,
% 5.16/4.66 (~until2p7(s197)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8353, 24797])).
% 5.16/4.66 tff(24799,plain,
% 5.16/4.66 (~xuntil2p8(s196)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8358, 24798])).
% 5.16/4.66 tff(24800,plain,
% 5.16/4.66 (~until2p7(s196)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8363, 24799])).
% 5.16/4.66 tff(24801,plain,
% 5.16/4.66 (~xuntil2p8(s195)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8368, 24800])).
% 5.16/4.66 tff(24802,plain,
% 5.16/4.66 (~until2p7(s195)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[15956, 24801])).
% 5.16/4.66 tff(24803,plain,
% 5.16/4.66 (~xuntil2p8(s194)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8379, 24802])).
% 5.16/4.66 tff(24804,plain,
% 5.16/4.66 (~until2p7(s194)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8384, 24803])).
% 5.16/4.66 tff(24805,plain,
% 5.16/4.66 (~xuntil2p8(s193)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8389, 24804])).
% 5.16/4.66 tff(24806,plain,
% 5.16/4.66 (~until2p7(s193)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[16001, 24805])).
% 5.16/4.66 tff(24807,plain,
% 5.16/4.66 (~xuntil2p8(s192)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8400, 24806])).
% 5.16/4.66 tff(24808,plain,
% 5.16/4.66 (~until2p7(s192)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8405, 24807])).
% 5.16/4.66 tff(24809,plain,
% 5.16/4.66 (~xuntil2p8(s191)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8410, 24808])).
% 5.16/4.66 tff(24810,plain,
% 5.16/4.66 (~until2p7(s191)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8438, 24809])).
% 5.16/4.66 tff(24811,plain,
% 5.16/4.66 (~xuntil2p8(s190)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8443, 24810])).
% 5.16/4.66 tff(24812,plain,
% 5.16/4.66 (~until2p7(s190)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8448, 24811])).
% 5.16/4.66 tff(24813,plain,
% 5.16/4.66 (~xuntil2p8(s189)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8453, 24812])).
% 5.16/4.66 tff(24814,plain,
% 5.16/4.66 (~until2p7(s189)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[16033, 24813])).
% 5.16/4.66 tff(24815,plain,
% 5.16/4.66 (~xuntil2p8(s188)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8463, 24814])).
% 5.16/4.66 tff(24816,plain,
% 5.16/4.66 (~until2p7(s188)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8468, 24815])).
% 5.16/4.66 tff(24817,plain,
% 5.16/4.66 (~xuntil2p8(s187)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8473, 24816])).
% 5.16/4.66 tff(24818,plain,
% 5.16/4.66 (~until2p7(s187)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[16078, 24817])).
% 5.16/4.66 tff(24819,plain,
% 5.16/4.66 (~xuntil2p8(s186)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8484, 24818])).
% 5.16/4.66 tff(24820,plain,
% 5.16/4.66 (~until2p7(s186)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8524, 24819])).
% 5.16/4.66 tff(24821,plain,
% 5.16/4.66 (~xuntil2p8(s185)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8529, 24820])).
% 5.16/4.66 tff(24822,plain,
% 5.16/4.66 (~until2p7(s185)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8534, 8293, 24821, 13408])).
% 5.16/4.66 tff(24823,plain,
% 5.16/4.66 (~xuntil2p8(s184)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8540, 24822])).
% 5.16/4.66 tff(24824,plain,
% 5.16/4.66 (~until2p7(s184)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8580, 24823])).
% 5.16/4.66 tff(24825,plain,
% 5.16/4.66 (~xuntil2p8(s183)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8585, 24824])).
% 5.16/4.66 tff(24826,plain,
% 5.16/4.66 (~trans(s199, s117)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24110, 24762, 18474, 18146, 24825])).
% 5.16/4.66 tff(24827,assumption,(~always3(s118)), introduced(assumption)).
% 5.16/4.66 tff(24828,plain,
% 5.16/4.66 (~node4(s118)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[7830, 113, 24827])).
% 5.16/4.66 tff(24829,plain,
% 5.16/4.66 (xuntil6(s118)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[18507, 24828])).
% 5.16/4.66 tff(24830,plain,
% 5.16/4.66 (until5(s119)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[7843, 24829])).
% 5.16/4.66 tff(24831,plain,
% 5.16/4.66 (xuntil6(s119)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[18583, 24830, 18146])).
% 5.16/4.66 tff(24832,plain,
% 5.16/4.66 (until5(s120)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[7860, 24831])).
% 5.16/4.66 tff(24833,plain,
% 5.16/4.66 (xuntil6(s122)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[18741, 24832, 18146])).
% 5.16/4.66 tff(24834,plain,
% 5.16/4.66 (until5(s123)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[7911, 24833])).
% 5.16/4.66 tff(24835,plain,
% 5.16/4.66 (xuntil6(s132)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[19278, 24834, 18146])).
% 5.16/4.66 tff(24836,plain,
% 5.16/4.66 (until5(s133)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[5287, 24835])).
% 5.16/4.66 tff(24837,plain,
% 5.16/4.66 (xuntil6(s134)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[19849, 24834, 18146])).
% 5.16/4.66 tff(24838,plain,
% 5.16/4.66 (until5(s135)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[5229, 24837])).
% 5.16/4.66 tff(24839,plain,
% 5.16/4.66 (xuntil6(s137)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[20217, 24838])).
% 5.16/4.66 tff(24840,plain,
% 5.16/4.66 (until5(s138)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[5142, 24839])).
% 5.16/4.66 tff(24841,plain,
% 5.16/4.66 (xuntil6(s140)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[20605, 24840])).
% 5.16/4.66 tff(24842,plain,
% 5.16/4.66 (until5(s141)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[5055, 24841])).
% 5.16/4.66 tff(24843,plain,
% 5.16/4.66 (xuntil6(s142)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[20967, 24842])).
% 5.16/4.66 tff(24844,plain,
% 5.16/4.66 (until5(s143)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[4996, 24843])).
% 5.16/4.66 tff(24845,plain,
% 5.16/4.66 (xuntil6(s144)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[21025, 24844])).
% 5.16/4.66 tff(24846,plain,
% 5.16/4.66 (until5(s145)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[4942, 24845])).
% 5.16/4.66 tff(24847,plain,
% 5.16/4.66 (xuntil6(s161)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[22024, 24846, 24836])).
% 5.16/4.66 tff(24848,plain,
% 5.16/4.66 (until5(s162)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[4601, 24847])).
% 5.16/4.66 tff(24849,plain,
% 5.16/4.66 (xuntil6(s162)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[4596, 24848])).
% 5.16/4.66 tff(24850,plain,
% 5.16/4.66 (until5(s163)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[4550, 24849])).
% 5.16/4.66 tff(24851,plain,
% 5.16/4.66 (xuntil6(s163)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[22393, 24850])).
% 5.16/4.66 tff(24852,plain,
% 5.16/4.66 (until5(s164)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[4538, 24851])).
% 5.16/4.66 tff(24853,plain,
% 5.16/4.66 (xuntil6(s164)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[22396, 24852])).
% 5.16/4.66 tff(24854,plain,
% 5.16/4.66 (until5(s165)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[4468, 24853])).
% 5.16/4.66 tff(24855,plain,
% 5.16/4.66 (xuntil6(s167)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[22443, 24854])).
% 5.16/4.66 tff(24856,plain,
% 5.16/4.66 (until5(s168)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[4514, 24855])).
% 5.16/4.66 tff(24857,plain,
% 5.16/4.66 (xuntil6(s168)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[22446, 24856])).
% 5.16/4.66 tff(24858,plain,
% 5.16/4.66 (until5(s169)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[4531, 24857])).
% 5.16/4.66 tff(24859,plain,
% 5.16/4.66 (xuntil6(s173)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[22988, 24858, 24852])).
% 5.16/4.66 tff(24860,plain,
% 5.16/4.66 (until5(s174)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[4356, 24859])).
% 5.16/4.66 tff(24861,plain,
% 5.16/4.66 (xuntil6(s174)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[23021, 24860])).
% 5.16/4.66 tff(24862,plain,
% 5.16/4.66 (until5(s175)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8003, 24861])).
% 5.16/4.66 tff(24863,plain,
% 5.16/4.66 (xuntil6(s181)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[23201, 24862])).
% 5.16/4.66 tff(24864,plain,
% 5.16/4.66 (until5(s182)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8126, 24863])).
% 5.16/4.66 tff(24865,plain,
% 5.16/4.66 (xuntil6(s182)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8172, 24864])).
% 5.16/4.66 tff(24866,plain,
% 5.16/4.66 (until5(s183)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8177, 24865])).
% 5.16/4.66 tff(24867,plain,
% 5.16/4.66 (xuntil6(s183)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[23255, 24866])).
% 5.16/4.66 tff(24868,plain,
% 5.16/4.66 (until5(s184)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8189, 24867])).
% 5.16/4.66 tff(24869,plain,
% 5.16/4.66 (xuntil6(s184)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[23258, 24868])).
% 5.16/4.66 tff(24870,plain,
% 5.16/4.66 (until5(s185)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8244, 24869])).
% 5.16/4.66 tff(24871,plain,
% 5.16/4.66 (xuntil6(s185)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[23303, 24870])).
% 5.16/4.66 tff(24872,plain,
% 5.16/4.66 (until5(s186)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8256, 24871])).
% 5.16/4.66 tff(24873,plain,
% 5.16/4.66 (xuntil6(s186)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[23306, 24872])).
% 5.16/4.66 tff(24874,plain,
% 5.16/4.66 (until5(s187)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8213, 24873])).
% 5.16/4.66 tff(24875,plain,
% 5.16/4.66 (xuntil6(s187)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[23348, 24874])).
% 5.16/4.66 tff(24876,plain,
% 5.16/4.66 (until5(s188)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[8263, 24875])).
% 5.16/4.66 tff(24877,plain,
% 5.16/4.66 (xuntil6(s188)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[3796, 24876])).
% 5.16/4.66 tff(24878,plain,
% 5.16/4.66 (until5(s189)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[3742, 24877])).
% 5.16/4.66 tff(24879,plain,
% 5.16/4.66 (xuntil6(s195)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[23477, 24878])).
% 5.16/4.66 tff(24880,plain,
% 5.16/4.66 (until5(s196)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[3479, 24879])).
% 5.16/4.66 tff(24881,plain,
% 5.16/4.66 (xuntil6(s196)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[3525, 24880])).
% 5.16/4.66 tff(24882,plain,
% 5.16/4.66 (until5(s197)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[3530, 24881])).
% 5.16/4.66 tff(24883,plain,
% 5.16/4.66 (xuntil6(s197)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[23482, 24882])).
% 5.16/4.66 tff(24884,plain,
% 5.16/4.66 (until5(s198)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[3543, 24883])).
% 5.16/4.66 tff(24885,plain,
% 5.16/4.66 (xuntil6(s198)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[3589, 24884])).
% 5.16/4.66 tff(24886,plain,
% 5.16/4.66 (until5(s199)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[3594, 24885])).
% 5.16/4.66 tff(24887,plain,
% 5.16/4.66 (xuntil6(s199)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[23489, 24886, 18474])).
% 5.16/4.66 tff(24888,plain,
% 5.16/4.66 (~trans(s199, s188)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[12186, 24887, 24816])).
% 5.16/4.66 tff(24889,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s118) | (~trans(s199, s118)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s118) | (~trans(s199, s118)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24890,plain,
% 5.16/4.66 (((~trans(s199, s118)) | (~always3(s199)) | always3(s118)) <=> ((~always3(s199)) | always3(s118) | (~trans(s199, s118)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24891,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s118)) | (~always3(s199)) | always3(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s118) | (~trans(s199, s118))))),
% 5.16/4.66 inference(monotonicity,[status(thm)],[24890])).
% 5.16/4.66 tff(24892,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s118)) | (~always3(s199)) | always3(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s118) | (~trans(s199, s118)))),
% 5.16/4.66 inference(transitivity,[status(thm)],[24891, 24889])).
% 5.16/4.66 tff(24893,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s118)) | (~always3(s199)) | always3(s118))),
% 5.16/4.66 inference(quant_inst,[status(thm)],[])).
% 5.16/4.66 tff(24894,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s118) | (~trans(s199, s118))),
% 5.16/4.66 inference(modus_ponens,[status(thm)],[24893, 24892])).
% 5.16/4.66 tff(24895,plain,
% 5.16/4.66 ($false),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24894, 11969, 38, 15335, 24827])).
% 5.16/4.66 tff(24896,plain,((~trans(s199, s118)) | (~always3(s199)) | always3(s118)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.66 tff(24897,plain,
% 5.16/4.66 ((~trans(s199, s118)) | always3(s118)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24896, 15333])).
% 5.16/4.66 tff(24898,plain,
% 5.16/4.66 (~trans(s199, s118)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24897, 24827])).
% 5.16/4.66 tff(24899,assumption,(~always3(s123)), introduced(assumption)).
% 5.16/4.66 tff(24900,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s123) | (~trans(s199, s123)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s123) | (~trans(s199, s123)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24901,plain,
% 5.16/4.66 (((~trans(s199, s123)) | (~always3(s199)) | always3(s123)) <=> ((~always3(s199)) | always3(s123) | (~trans(s199, s123)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24902,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s123)) | (~always3(s199)) | always3(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s123) | (~trans(s199, s123))))),
% 5.16/4.66 inference(monotonicity,[status(thm)],[24901])).
% 5.16/4.66 tff(24903,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s123)) | (~always3(s199)) | always3(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s123) | (~trans(s199, s123)))),
% 5.16/4.66 inference(transitivity,[status(thm)],[24902, 24900])).
% 5.16/4.66 tff(24904,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s123)) | (~always3(s199)) | always3(s123))),
% 5.16/4.66 inference(quant_inst,[status(thm)],[])).
% 5.16/4.66 tff(24905,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s123) | (~trans(s199, s123))),
% 5.16/4.66 inference(modus_ponens,[status(thm)],[24904, 24903])).
% 5.16/4.66 tff(24906,plain,
% 5.16/4.66 ($false),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24905, 11441, 38, 15335, 24899])).
% 5.16/4.66 tff(24907,plain,((~trans(s199, s123)) | (~always3(s199)) | always3(s123)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.66 tff(24908,plain,
% 5.16/4.66 ((~trans(s199, s123)) | always3(s123)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24907, 15333])).
% 5.16/4.66 tff(24909,plain,
% 5.16/4.66 (~trans(s199, s123)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24908, 18754])).
% 5.16/4.66 tff(24910,assumption,(~always3(s120)), introduced(assumption)).
% 5.16/4.66 tff(24911,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s120) | (~trans(s199, s120)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s120) | (~trans(s199, s120)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24912,plain,
% 5.16/4.66 (((~trans(s199, s120)) | (~always3(s199)) | always3(s120)) <=> ((~always3(s199)) | always3(s120) | (~trans(s199, s120)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24913,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s120)) | (~always3(s199)) | always3(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s120) | (~trans(s199, s120))))),
% 5.16/4.66 inference(monotonicity,[status(thm)],[24912])).
% 5.16/4.66 tff(24914,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s120)) | (~always3(s199)) | always3(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s120) | (~trans(s199, s120)))),
% 5.16/4.66 inference(transitivity,[status(thm)],[24913, 24911])).
% 5.16/4.66 tff(24915,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s120)) | (~always3(s199)) | always3(s120))),
% 5.16/4.66 inference(quant_inst,[status(thm)],[])).
% 5.16/4.66 tff(24916,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s120) | (~trans(s199, s120))),
% 5.16/4.66 inference(modus_ponens,[status(thm)],[24915, 24914])).
% 5.16/4.66 tff(24917,plain,
% 5.16/4.66 ($false),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24916, 11496, 38, 15335, 24910])).
% 5.16/4.66 tff(24918,plain,((~trans(s199, s120)) | (~always3(s199)) | always3(s120)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.66 tff(24919,plain,
% 5.16/4.66 ((~trans(s199, s120)) | always3(s120)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24918, 15333])).
% 5.16/4.66 tff(24920,plain,
% 5.16/4.66 (~trans(s199, s120)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24919, 18757])).
% 5.16/4.66 tff(24921,assumption,(~always3(s130)), introduced(assumption)).
% 5.16/4.66 tff(24922,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s130) | (~trans(s199, s130)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s130) | (~trans(s199, s130)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24923,plain,
% 5.16/4.66 (((~trans(s199, s130)) | (~always3(s199)) | always3(s130)) <=> ((~always3(s199)) | always3(s130) | (~trans(s199, s130)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24924,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s130)) | (~always3(s199)) | always3(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s130) | (~trans(s199, s130))))),
% 5.16/4.66 inference(monotonicity,[status(thm)],[24923])).
% 5.16/4.66 tff(24925,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s130)) | (~always3(s199)) | always3(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s130) | (~trans(s199, s130)))),
% 5.16/4.66 inference(transitivity,[status(thm)],[24924, 24922])).
% 5.16/4.66 tff(24926,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s130)) | (~always3(s199)) | always3(s130))),
% 5.16/4.66 inference(quant_inst,[status(thm)],[])).
% 5.16/4.66 tff(24927,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s130) | (~trans(s199, s130))),
% 5.16/4.66 inference(modus_ponens,[status(thm)],[24926, 24925])).
% 5.16/4.66 tff(24928,plain,
% 5.16/4.66 ($false),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24927, 11529, 38, 15335, 24921])).
% 5.16/4.66 tff(24929,plain,((~trans(s199, s130)) | (~always3(s199)) | always3(s130)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.66 tff(24930,plain,
% 5.16/4.66 ((~trans(s199, s130)) | always3(s130)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24929, 15333])).
% 5.16/4.66 tff(24931,plain,
% 5.16/4.66 (~trans(s199, s130)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24930, 18747])).
% 5.16/4.66 tff(24932,assumption,(~always3(s128)), introduced(assumption)).
% 5.16/4.66 tff(24933,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s128) | (~trans(s199, s128)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s128) | (~trans(s199, s128)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24934,plain,
% 5.16/4.66 (((~trans(s199, s128)) | (~always3(s199)) | always3(s128)) <=> ((~always3(s199)) | always3(s128) | (~trans(s199, s128)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24935,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s128)) | (~always3(s199)) | always3(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s128) | (~trans(s199, s128))))),
% 5.16/4.66 inference(monotonicity,[status(thm)],[24934])).
% 5.16/4.66 tff(24936,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s128)) | (~always3(s199)) | always3(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s128) | (~trans(s199, s128)))),
% 5.16/4.66 inference(transitivity,[status(thm)],[24935, 24933])).
% 5.16/4.66 tff(24937,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s128)) | (~always3(s199)) | always3(s128))),
% 5.16/4.66 inference(quant_inst,[status(thm)],[])).
% 5.16/4.66 tff(24938,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s128) | (~trans(s199, s128))),
% 5.16/4.66 inference(modus_ponens,[status(thm)],[24937, 24936])).
% 5.16/4.66 tff(24939,plain,
% 5.16/4.66 ($false),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24938, 11650, 38, 15335, 24932])).
% 5.16/4.66 tff(24940,plain,((~trans(s199, s128)) | (~always3(s199)) | always3(s128)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.66 tff(24941,plain,
% 5.16/4.66 ((~trans(s199, s128)) | always3(s128)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24940, 15333])).
% 5.16/4.66 tff(24942,plain,
% 5.16/4.66 (~trans(s199, s128)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24941, 18749])).
% 5.16/4.66 tff(24943,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s132) | (~trans(s199, s132)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s132) | (~trans(s199, s132)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24944,plain,
% 5.16/4.66 (((~trans(s199, s132)) | (~always3(s199)) | always3(s132)) <=> ((~always3(s199)) | always3(s132) | (~trans(s199, s132)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24945,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s132)) | (~always3(s199)) | always3(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s132) | (~trans(s199, s132))))),
% 5.16/4.66 inference(monotonicity,[status(thm)],[24944])).
% 5.16/4.66 tff(24946,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s132)) | (~always3(s199)) | always3(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s132) | (~trans(s199, s132)))),
% 5.16/4.66 inference(transitivity,[status(thm)],[24945, 24943])).
% 5.16/4.66 tff(24947,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s132)) | (~always3(s199)) | always3(s132))),
% 5.16/4.66 inference(quant_inst,[status(thm)],[])).
% 5.16/4.66 tff(24948,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s132) | (~trans(s199, s132))),
% 5.16/4.66 inference(modus_ponens,[status(thm)],[24947, 24946])).
% 5.16/4.66 tff(24949,plain,
% 5.16/4.66 ($false),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24948, 12167, 38, 15335, 18745])).
% 5.16/4.66 tff(24950,plain,((~trans(s199, s132)) | (~always3(s199)) | always3(s132)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.66 tff(24951,plain,
% 5.16/4.66 ((~trans(s199, s132)) | always3(s132)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24950, 15333])).
% 5.16/4.66 tff(24952,plain,
% 5.16/4.66 (~trans(s199, s132)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24951, 18745])).
% 5.16/4.66 tff(24953,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s122) | (~trans(s199, s122)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s122) | (~trans(s199, s122)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24954,plain,
% 5.16/4.66 (((~trans(s199, s122)) | (~always3(s199)) | always3(s122)) <=> ((~always3(s199)) | always3(s122) | (~trans(s199, s122)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24955,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s122)) | (~always3(s199)) | always3(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s122) | (~trans(s199, s122))))),
% 5.16/4.66 inference(monotonicity,[status(thm)],[24954])).
% 5.16/4.66 tff(24956,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s122)) | (~always3(s199)) | always3(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s122) | (~trans(s199, s122)))),
% 5.16/4.66 inference(transitivity,[status(thm)],[24955, 24953])).
% 5.16/4.66 tff(24957,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s122)) | (~always3(s199)) | always3(s122))),
% 5.16/4.66 inference(quant_inst,[status(thm)],[])).
% 5.16/4.66 tff(24958,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s122) | (~trans(s199, s122))),
% 5.16/4.66 inference(modus_ponens,[status(thm)],[24957, 24956])).
% 5.16/4.66 tff(24959,plain,
% 5.16/4.66 ($false),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24958, 12552, 38, 15335, 18587])).
% 5.16/4.66 tff(24960,plain,((~trans(s199, s122)) | (~always3(s199)) | always3(s122)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.66 tff(24961,plain,
% 5.16/4.66 ((~trans(s199, s122)) | always3(s122)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24960, 15333])).
% 5.16/4.66 tff(24962,plain,
% 5.16/4.66 (~trans(s199, s122)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24961, 18755])).
% 5.16/4.66 tff(24963,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s124) | (~trans(s199, s124)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s124) | (~trans(s199, s124)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24964,plain,
% 5.16/4.66 (((~trans(s199, s124)) | (~always3(s199)) | always3(s124)) <=> ((~always3(s199)) | always3(s124) | (~trans(s199, s124)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24965,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s124)) | (~always3(s199)) | always3(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s124) | (~trans(s199, s124))))),
% 5.16/4.66 inference(monotonicity,[status(thm)],[24964])).
% 5.16/4.66 tff(24966,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s124)) | (~always3(s199)) | always3(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s124) | (~trans(s199, s124)))),
% 5.16/4.66 inference(transitivity,[status(thm)],[24965, 24963])).
% 5.16/4.66 tff(24967,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s124)) | (~always3(s199)) | always3(s124))),
% 5.16/4.66 inference(quant_inst,[status(thm)],[])).
% 5.16/4.66 tff(24968,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s124) | (~trans(s199, s124))),
% 5.16/4.66 inference(modus_ponens,[status(thm)],[24967, 24966])).
% 5.16/4.66 tff(24969,plain,
% 5.16/4.66 ($false),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24968, 12970, 38, 15335, 19203])).
% 5.16/4.66 tff(24970,plain,((~trans(s199, s124)) | (~always3(s199)) | always3(s124)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.66 tff(24971,plain,
% 5.16/4.66 ((~trans(s199, s124)) | always3(s124)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24970, 15333])).
% 5.16/4.66 tff(24972,plain,
% 5.16/4.66 (~trans(s199, s124)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24971, 18753])).
% 5.16/4.66 tff(24973,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s131) | (~trans(s199, s131)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s131) | (~trans(s199, s131)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24974,plain,
% 5.16/4.66 (((~trans(s199, s131)) | (~always3(s199)) | always3(s131)) <=> ((~always3(s199)) | always3(s131) | (~trans(s199, s131)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24975,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s131)) | (~always3(s199)) | always3(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s131) | (~trans(s199, s131))))),
% 5.16/4.66 inference(monotonicity,[status(thm)],[24974])).
% 5.16/4.66 tff(24976,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s131)) | (~always3(s199)) | always3(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s131) | (~trans(s199, s131)))),
% 5.16/4.66 inference(transitivity,[status(thm)],[24975, 24973])).
% 5.16/4.66 tff(24977,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s131)) | (~always3(s199)) | always3(s131))),
% 5.16/4.66 inference(quant_inst,[status(thm)],[])).
% 5.16/4.66 tff(24978,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s131) | (~trans(s199, s131))),
% 5.16/4.66 inference(modus_ponens,[status(thm)],[24977, 24976])).
% 5.16/4.66 tff(24979,plain,
% 5.16/4.66 ($false),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24978, 12563, 38, 15335, 18875])).
% 5.16/4.66 tff(24980,plain,((~trans(s199, s131)) | (~always3(s199)) | always3(s131)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.66 tff(24981,plain,
% 5.16/4.66 ((~trans(s199, s131)) | always3(s131)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24980, 15333])).
% 5.16/4.66 tff(24982,plain,
% 5.16/4.66 (~trans(s199, s131)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24981, 18746])).
% 5.16/4.66 tff(24983,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s125) | (~trans(s199, s125)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s125) | (~trans(s199, s125)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24984,plain,
% 5.16/4.66 (((~trans(s199, s125)) | (~always3(s199)) | always3(s125)) <=> ((~always3(s199)) | always3(s125) | (~trans(s199, s125)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24985,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s125)) | (~always3(s199)) | always3(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s125) | (~trans(s199, s125))))),
% 5.16/4.66 inference(monotonicity,[status(thm)],[24984])).
% 5.16/4.66 tff(24986,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s125)) | (~always3(s199)) | always3(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s125) | (~trans(s199, s125)))),
% 5.16/4.66 inference(transitivity,[status(thm)],[24985, 24983])).
% 5.16/4.66 tff(24987,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s125)) | (~always3(s199)) | always3(s125))),
% 5.16/4.66 inference(quant_inst,[status(thm)],[])).
% 5.16/4.66 tff(24988,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s125) | (~trans(s199, s125))),
% 5.16/4.66 inference(modus_ponens,[status(thm)],[24987, 24986])).
% 5.16/4.66 tff(24989,plain,
% 5.16/4.66 ($false),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24988, 12629, 38, 15335, 19159])).
% 5.16/4.66 tff(24990,plain,((~trans(s199, s125)) | (~always3(s199)) | always3(s125)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.66 tff(24991,plain,
% 5.16/4.66 ((~trans(s199, s125)) | always3(s125)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24990, 15333])).
% 5.16/4.66 tff(24992,plain,
% 5.16/4.66 (~trans(s199, s125)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24991, 18752])).
% 5.16/4.66 tff(24993,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s129) | (~trans(s199, s129)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s129) | (~trans(s199, s129)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24994,plain,
% 5.16/4.66 (((~trans(s199, s129)) | (~always3(s199)) | always3(s129)) <=> ((~always3(s199)) | always3(s129) | (~trans(s199, s129)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(24995,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s129)) | (~always3(s199)) | always3(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s129) | (~trans(s199, s129))))),
% 5.16/4.66 inference(monotonicity,[status(thm)],[24994])).
% 5.16/4.66 tff(24996,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s129)) | (~always3(s199)) | always3(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s129) | (~trans(s199, s129)))),
% 5.16/4.66 inference(transitivity,[status(thm)],[24995, 24993])).
% 5.16/4.66 tff(24997,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s129)) | (~always3(s199)) | always3(s129))),
% 5.16/4.66 inference(quant_inst,[status(thm)],[])).
% 5.16/4.66 tff(24998,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s129) | (~trans(s199, s129))),
% 5.16/4.66 inference(modus_ponens,[status(thm)],[24997, 24996])).
% 5.16/4.66 tff(24999,plain,
% 5.16/4.66 ($false),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[24998, 12640, 38, 15335, 18979])).
% 5.16/4.66 tff(25000,plain,((~trans(s199, s129)) | (~always3(s199)) | always3(s129)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.66 tff(25001,plain,
% 5.16/4.66 ((~trans(s199, s129)) | always3(s129)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[25000, 15333])).
% 5.16/4.66 tff(25002,plain,
% 5.16/4.66 (~trans(s199, s129)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[25001, 18748])).
% 5.16/4.66 tff(25003,assumption,(~always3(s126)), introduced(assumption)).
% 5.16/4.66 tff(25004,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s126) | (~trans(s199, s126)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s126) | (~trans(s199, s126)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(25005,plain,
% 5.16/4.66 (((~trans(s199, s126)) | (~always3(s199)) | always3(s126)) <=> ((~always3(s199)) | always3(s126) | (~trans(s199, s126)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(25006,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s126)) | (~always3(s199)) | always3(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s126) | (~trans(s199, s126))))),
% 5.16/4.66 inference(monotonicity,[status(thm)],[25005])).
% 5.16/4.66 tff(25007,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s126)) | (~always3(s199)) | always3(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s126) | (~trans(s199, s126)))),
% 5.16/4.66 inference(transitivity,[status(thm)],[25006, 25004])).
% 5.16/4.66 tff(25008,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s126)) | (~always3(s199)) | always3(s126))),
% 5.16/4.66 inference(quant_inst,[status(thm)],[])).
% 5.16/4.66 tff(25009,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s126) | (~trans(s199, s126))),
% 5.16/4.66 inference(modus_ponens,[status(thm)],[25008, 25007])).
% 5.16/4.66 tff(25010,plain,
% 5.16/4.66 ($false),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[25009, 13179, 38, 15335, 25003])).
% 5.16/4.66 tff(25011,plain,((~trans(s199, s126)) | (~always3(s199)) | always3(s126)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.66 tff(25012,plain,
% 5.16/4.66 ((~trans(s199, s126)) | always3(s126)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[25011, 15333])).
% 5.16/4.66 tff(25013,plain,
% 5.16/4.66 (~trans(s199, s126)),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[25012, 18751])).
% 5.16/4.66 tff(25014,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s127) | (~trans(s199, s127)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s127) | (~trans(s199, s127)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(25015,plain,
% 5.16/4.66 (((~trans(s199, s127)) | (~always3(s199)) | always3(s127)) <=> ((~always3(s199)) | always3(s127) | (~trans(s199, s127)))),
% 5.16/4.66 inference(rewrite,[status(thm)],[])).
% 5.16/4.66 tff(25016,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s127)) | (~always3(s199)) | always3(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s127) | (~trans(s199, s127))))),
% 5.16/4.66 inference(monotonicity,[status(thm)],[25015])).
% 5.16/4.66 tff(25017,plain,
% 5.16/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s127)) | (~always3(s199)) | always3(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s127) | (~trans(s199, s127)))),
% 5.16/4.66 inference(transitivity,[status(thm)],[25016, 25014])).
% 5.16/4.66 tff(25018,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s127)) | (~always3(s199)) | always3(s127))),
% 5.16/4.66 inference(quant_inst,[status(thm)],[])).
% 5.16/4.66 tff(25019,plain,
% 5.16/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s127) | (~trans(s199, s127))),
% 5.16/4.66 inference(modus_ponens,[status(thm)],[25018, 25017])).
% 5.16/4.66 tff(25020,plain,
% 5.16/4.66 ($false),
% 5.16/4.66 inference(unit_resolution,[status(thm)],[25019, 12761, 38, 15335, 19074])).
% 5.16/4.66 tff(25021,plain,((~trans(s199, s127)) | (~always3(s199)) | always3(s127)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.67 tff(25022,plain,
% 5.16/4.67 ((~trans(s199, s127)) | always3(s127)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25021, 15333])).
% 5.16/4.67 tff(25023,plain,
% 5.16/4.67 (~trans(s199, s127)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25022, 18750])).
% 5.16/4.67 tff(25024,plain,
% 5.16/4.67 (~xuntil2p8(s198)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8312, 12474])).
% 5.16/4.67 tff(25025,plain,
% 5.16/4.67 (~until2p7(s198)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8317, 25024])).
% 5.16/4.67 tff(25026,plain,
% 5.16/4.67 (~xuntil2p8(s197)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8322, 25025])).
% 5.16/4.67 tff(25027,plain,
% 5.16/4.67 (~until2p7(s197)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8353, 25026])).
% 5.16/4.67 tff(25028,plain,
% 5.16/4.67 (~xuntil2p8(s196)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8358, 25027])).
% 5.16/4.67 tff(25029,plain,
% 5.16/4.67 (~until2p7(s196)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8363, 25028])).
% 5.16/4.67 tff(25030,plain,
% 5.16/4.67 (~xuntil2p8(s195)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8368, 25029])).
% 5.16/4.67 tff(25031,plain,
% 5.16/4.67 (~until2p7(s195)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[15956, 25030])).
% 5.16/4.67 tff(25032,plain,
% 5.16/4.67 (~xuntil2p8(s194)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8379, 25031])).
% 5.16/4.67 tff(25033,plain,
% 5.16/4.67 (~until2p7(s194)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8384, 25032])).
% 5.16/4.67 tff(25034,plain,
% 5.16/4.67 (~xuntil2p8(s193)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8389, 25033])).
% 5.16/4.67 tff(25035,plain,
% 5.16/4.67 (~until2p7(s193)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[16001, 25034])).
% 5.16/4.67 tff(25036,plain,
% 5.16/4.67 (~xuntil2p8(s192)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8400, 25035])).
% 5.16/4.67 tff(25037,plain,
% 5.16/4.67 (~until2p7(s192)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8405, 25036])).
% 5.16/4.67 tff(25038,plain,
% 5.16/4.67 (~xuntil2p8(s191)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8410, 25037])).
% 5.16/4.67 tff(25039,plain,
% 5.16/4.67 (~until2p7(s191)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8438, 25038])).
% 5.16/4.67 tff(25040,plain,
% 5.16/4.67 (~xuntil2p8(s190)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8443, 25039])).
% 5.16/4.67 tff(25041,plain,
% 5.16/4.67 (~until2p7(s190)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8448, 25040])).
% 5.16/4.67 tff(25042,plain,
% 5.16/4.67 (~xuntil2p8(s189)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8453, 25041])).
% 5.16/4.67 tff(25043,plain,
% 5.16/4.67 (~until2p7(s189)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[16033, 25042])).
% 5.16/4.67 tff(25044,plain,
% 5.16/4.67 (~xuntil2p8(s188)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8463, 25043])).
% 5.16/4.67 tff(25045,plain,
% 5.16/4.67 (~until2p7(s188)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8468, 25044])).
% 5.16/4.67 tff(25046,plain,
% 5.16/4.67 (~xuntil2p8(s187)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8473, 25045])).
% 5.16/4.67 tff(25047,plain,
% 5.16/4.67 (~until2p7(s187)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[16078, 25046])).
% 5.16/4.67 tff(25048,plain,
% 5.16/4.67 (~xuntil2p8(s186)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8484, 25047])).
% 5.16/4.67 tff(25049,plain,
% 5.16/4.67 (~until2p7(s186)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8524, 25048])).
% 5.16/4.67 tff(25050,plain,
% 5.16/4.67 (~xuntil2p8(s185)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8529, 25049])).
% 5.16/4.67 tff(25051,plain,
% 5.16/4.67 (~until2p7(s185)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8534, 8293, 25050, 13408])).
% 5.16/4.67 tff(25052,plain,
% 5.16/4.67 (~xuntil2p8(s184)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8540, 25051])).
% 5.16/4.67 tff(25053,plain,
% 5.16/4.67 (~until2p7(s184)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8580, 25052])).
% 5.16/4.67 tff(25054,plain,
% 5.16/4.67 (~xuntil2p8(s183)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8585, 25053])).
% 5.16/4.67 tff(25055,plain,
% 5.16/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s133) | (~trans(s199, s133)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s133) | (~trans(s199, s133)))),
% 5.16/4.67 inference(rewrite,[status(thm)],[])).
% 5.16/4.67 tff(25056,plain,
% 5.16/4.67 (((~trans(s199, s133)) | (~always3(s199)) | always3(s133)) <=> ((~always3(s199)) | always3(s133) | (~trans(s199, s133)))),
% 5.16/4.67 inference(rewrite,[status(thm)],[])).
% 5.16/4.67 tff(25057,plain,
% 5.16/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s133)) | (~always3(s199)) | always3(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s133) | (~trans(s199, s133))))),
% 5.16/4.67 inference(monotonicity,[status(thm)],[25056])).
% 5.16/4.67 tff(25058,plain,
% 5.16/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s133)) | (~always3(s199)) | always3(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s133) | (~trans(s199, s133)))),
% 5.16/4.67 inference(transitivity,[status(thm)],[25057, 25055])).
% 5.16/4.67 tff(25059,plain,
% 5.16/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s133)) | (~always3(s199)) | always3(s133))),
% 5.16/4.67 inference(quant_inst,[status(thm)],[])).
% 5.16/4.67 tff(25060,plain,
% 5.16/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s133) | (~trans(s199, s133))),
% 5.16/4.67 inference(modus_ponens,[status(thm)],[25059, 25058])).
% 5.16/4.67 tff(25061,plain,
% 5.16/4.67 ($false),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25060, 12893, 38, 15335, 19569])).
% 5.16/4.67 tff(25062,plain,((~trans(s199, s133)) | (~always3(s199)) | always3(s133)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.67 tff(25063,plain,
% 5.16/4.67 ((~trans(s199, s133)) | always3(s133)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25062, 15333])).
% 5.16/4.67 tff(25064,plain,
% 5.16/4.67 (always3(s133)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25063, 12893])).
% 5.16/4.67 tff(25065,plain,
% 5.16/4.67 (always3(s134)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[5267, 25064])).
% 5.16/4.67 tff(25066,plain,
% 5.16/4.67 (~m_main_v_state(s134, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[19548, 145, 25065])).
% 5.16/4.67 tff(25067,plain,
% 5.16/4.67 (~m_main_v_state(s133, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[18860, 145, 25064])).
% 5.16/4.67 tff(25068,plain,
% 5.16/4.67 (m_main_v_state(s133, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[19822, 188, 25067])).
% 5.16/4.67 tff(25069,plain,
% 5.16/4.67 (~m_main_v_request(s133)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[19831, 25068, 25066])).
% 5.16/4.67 tff(25070,plain,
% 5.16/4.67 (~node4(s133)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[19835, 63, 25069])).
% 5.16/4.67 tff(25071,plain,
% 5.16/4.67 (until2p7(s133)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[12901, 12893, 11264])).
% 5.16/4.67 tff(25072,plain,
% 5.16/4.67 (node4(s133) | xuntil2p8(s133)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9492, 8293, 25071])).
% 5.16/4.67 tff(25073,plain,
% 5.16/4.67 (xuntil2p8(s133)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25072, 25070])).
% 5.16/4.67 tff(25074,plain,
% 5.16/4.67 (until2p7(s134)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9486, 25073])).
% 5.16/4.67 tff(25075,plain,
% 5.16/4.67 (always3(s135)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[5238, 25065])).
% 5.16/4.67 tff(25076,plain,
% 5.16/4.67 (~m_main_v_state(s135, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[19541, 145, 25075])).
% 5.16/4.67 tff(25077,plain,
% 5.16/4.67 (m_main_v_state(s134, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[19552, 188, 25066])).
% 5.16/4.67 tff(25078,plain,
% 5.16/4.67 (~m_main_v_request(s134)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[19561, 25077, 25076])).
% 5.16/4.67 tff(25079,plain,
% 5.16/4.67 (~node4(s134)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[19565, 63, 25078])).
% 5.16/4.67 tff(25080,plain,
% 5.16/4.67 (xuntil2p8(s134) | (~until2p7(s134))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9480, 8293, 25079])).
% 5.16/4.67 tff(25081,plain,
% 5.16/4.67 (xuntil2p8(s134)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25080, 25074])).
% 5.16/4.67 tff(25082,plain,
% 5.16/4.67 (until2p7(s135)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9474, 25081])).
% 5.16/4.67 tff(25083,plain,
% 5.16/4.67 (always3(s136)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[5209, 25075])).
% 5.16/4.67 tff(25084,plain,
% 5.16/4.67 (~m_main_v_state(s136, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20158, 145, 25083])).
% 5.16/4.67 tff(25085,plain,
% 5.16/4.67 (m_main_v_state(s135, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20198, 188, 25076])).
% 5.16/4.67 tff(25086,plain,
% 5.16/4.67 (~m_main_v_request(s135)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20192, 25085, 25084])).
% 5.16/4.67 tff(25087,plain,
% 5.16/4.67 (~node4(s135)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20183, 63, 25086])).
% 5.16/4.67 tff(25088,plain,
% 5.16/4.67 (xuntil2p8(s135) | (~until2p7(s135))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9468, 8293, 25087])).
% 5.16/4.67 tff(25089,plain,
% 5.16/4.67 (xuntil2p8(s135)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25088, 25082])).
% 5.16/4.67 tff(25090,plain,
% 5.16/4.67 (until2p7(s136)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9462, 25089])).
% 5.16/4.67 tff(25091,plain,
% 5.16/4.67 (always3(s137)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[5180, 25083])).
% 5.16/4.67 tff(25092,plain,
% 5.16/4.67 (~m_main_v_state(s137, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20134, 145, 25091])).
% 5.16/4.67 tff(25093,plain,
% 5.16/4.67 (m_main_v_state(s136, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20163, 188, 25084])).
% 5.16/4.67 tff(25094,plain,
% 5.16/4.67 (~m_main_v_request(s136)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20172, 25093, 25092])).
% 5.16/4.67 tff(25095,plain,
% 5.16/4.67 (~node4(s136)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20176, 63, 25094])).
% 5.16/4.67 tff(25096,plain,
% 5.16/4.67 (xuntil2p8(s136) | (~until2p7(s136))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9456, 8293, 25095])).
% 5.16/4.67 tff(25097,plain,
% 5.16/4.67 (xuntil2p8(s136)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25096, 25090])).
% 5.16/4.67 tff(25098,plain,
% 5.16/4.67 (until2p7(s137)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9450, 25097])).
% 5.16/4.67 tff(25099,plain,
% 5.16/4.67 (always3(s138)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[5151, 25091])).
% 5.16/4.67 tff(25100,plain,
% 5.16/4.67 (~m_main_v_state(s138, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20127, 145, 25099])).
% 5.16/4.67 tff(25101,plain,
% 5.16/4.67 (m_main_v_state(s137, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20138, 188, 25092])).
% 5.16/4.67 tff(25102,plain,
% 5.16/4.67 (~m_main_v_request(s137)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20215, 25101, 25100])).
% 5.16/4.67 tff(25103,plain,
% 5.16/4.67 (~node4(s137)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20206, 63, 25102])).
% 5.16/4.67 tff(25104,plain,
% 5.16/4.67 (xuntil2p8(s137) | (~until2p7(s137))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9444, 8293, 25103])).
% 5.16/4.67 tff(25105,plain,
% 5.16/4.67 (xuntil2p8(s137)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25104, 25098])).
% 5.16/4.67 tff(25106,plain,
% 5.16/4.67 (until2p7(s138)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9438, 25105])).
% 5.16/4.67 tff(25107,plain,
% 5.16/4.67 (always3(s139)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[5122, 25099])).
% 5.16/4.67 tff(25108,plain,
% 5.16/4.67 (~m_main_v_state(s139, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20560, 145, 25107])).
% 5.16/4.67 tff(25109,plain,
% 5.16/4.67 (m_main_v_state(s138, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20600, 188, 25100])).
% 5.16/4.67 tff(25110,plain,
% 5.16/4.67 (~m_main_v_request(s138)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20594, 25109, 25108])).
% 5.16/4.67 tff(25111,plain,
% 5.16/4.67 (~node4(s138)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20585, 63, 25110])).
% 5.16/4.67 tff(25112,plain,
% 5.16/4.67 (xuntil2p8(s138) | (~until2p7(s138))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9432, 8293, 25111])).
% 5.16/4.67 tff(25113,plain,
% 5.16/4.67 (xuntil2p8(s138)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25112, 25106])).
% 5.16/4.67 tff(25114,plain,
% 5.16/4.67 (until2p7(s139)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9426, 25113])).
% 5.16/4.67 tff(25115,plain,
% 5.16/4.67 (always3(s140)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[5093, 25107])).
% 5.16/4.67 tff(25116,plain,
% 5.16/4.67 (~m_main_v_state(s140, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20534, 145, 25115])).
% 5.16/4.67 tff(25117,plain,
% 5.16/4.67 (m_main_v_state(s139, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20565, 188, 25108])).
% 5.16/4.67 tff(25118,plain,
% 5.16/4.67 (~m_main_v_request(s139)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20574, 25117, 25116])).
% 5.16/4.67 tff(25119,plain,
% 5.16/4.67 (~node4(s139)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20578, 63, 25118])).
% 5.16/4.67 tff(25120,plain,
% 5.16/4.67 (xuntil2p8(s139) | (~until2p7(s139))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9420, 8293, 25119])).
% 5.16/4.67 tff(25121,plain,
% 5.16/4.67 (xuntil2p8(s139)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25120, 25114])).
% 5.16/4.67 tff(25122,plain,
% 5.16/4.67 (until2p7(s140)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9414, 25121])).
% 5.16/4.67 tff(25123,plain,
% 5.16/4.67 (m_main_v_state(s140, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23681, 25116])).
% 5.16/4.67 tff(25124,plain,
% 5.16/4.67 (always3(s141)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[5064, 25115])).
% 5.16/4.67 tff(25125,plain,
% 5.16/4.67 (~m_main_v_state(s141, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20511, 145, 25124])).
% 5.16/4.67 tff(25126,plain,
% 5.16/4.67 (~m_main_v_request(s140)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20527, 25125, 25123])).
% 5.16/4.67 tff(25127,plain,
% 5.16/4.67 (~node4(s140)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20518, 63, 25126])).
% 5.16/4.67 tff(25128,plain,
% 5.16/4.67 (xuntil2p8(s140) | (~until2p7(s140))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9408, 8293, 25127])).
% 5.16/4.67 tff(25129,plain,
% 5.16/4.67 (xuntil2p8(s140)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25128, 25122])).
% 5.16/4.67 tff(25130,plain,
% 5.16/4.67 (until2p7(s141)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9402, 25129])).
% 5.16/4.67 tff(25131,plain,
% 5.16/4.67 (always3(s142)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[5035, 25124])).
% 5.16/4.67 tff(25132,plain,
% 5.16/4.67 (~m_main_v_state(s142, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20931, 145, 25131])).
% 5.16/4.67 tff(25133,plain,
% 5.16/4.67 (~node4(s141)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20964, 25132])).
% 5.16/4.67 tff(25134,plain,
% 5.16/4.67 (xuntil2p8(s141) | (~until2p7(s141))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9396, 8293, 25133])).
% 5.16/4.67 tff(25135,plain,
% 5.16/4.67 (xuntil2p8(s141)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25134, 25130])).
% 5.16/4.67 tff(25136,plain,
% 5.16/4.67 (until2p7(s142)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9390, 25135])).
% 5.16/4.67 tff(25137,plain,
% 5.16/4.67 (always3(s143)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[5006, 25131])).
% 5.16/4.67 tff(25138,plain,
% 5.16/4.67 (~m_main_v_state(s143, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20908, 145, 25137])).
% 5.16/4.67 tff(25139,plain,
% 5.16/4.67 (m_main_v_state(s142, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20935, 188, 25132])).
% 5.16/4.67 tff(25140,plain,
% 5.16/4.67 (~m_main_v_request(s142)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20924, 25139, 25138])).
% 5.16/4.67 tff(25141,plain,
% 5.16/4.67 (~node4(s142)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20915, 63, 25140])).
% 5.16/4.67 tff(25142,plain,
% 5.16/4.67 (xuntil2p8(s142) | (~until2p7(s142))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9384, 8293, 25141])).
% 5.16/4.67 tff(25143,plain,
% 5.16/4.67 (xuntil2p8(s142)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25142, 25136])).
% 5.16/4.67 tff(25144,plain,
% 5.16/4.67 (until2p7(s143)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9378, 25143])).
% 5.16/4.67 tff(25145,plain,
% 5.16/4.67 (always3(s144)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4968, 25137])).
% 5.16/4.67 tff(25146,plain,
% 5.16/4.67 (~m_main_v_state(s144, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20976, 145, 25145])).
% 5.16/4.67 tff(25147,plain,
% 5.16/4.67 (~node1(s142)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23717, 25138])).
% 5.16/4.67 tff(25148,plain,
% 5.16/4.67 (m_main_v_state(s143, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23725, 25138, 25147])).
% 5.16/4.67 tff(25149,plain,
% 5.16/4.67 (~m_main_v_request(s143)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21017, 25148, 25146])).
% 5.16/4.67 tff(25150,plain,
% 5.16/4.67 (~node4(s143)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21008, 63, 25149])).
% 5.16/4.67 tff(25151,plain,
% 5.16/4.67 (xuntil2p8(s143) | (~until2p7(s143))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9372, 8293, 25150])).
% 5.16/4.67 tff(25152,plain,
% 5.16/4.67 (xuntil2p8(s143)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25151, 25144])).
% 5.16/4.67 tff(25153,plain,
% 5.16/4.67 (until2p7(s144)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9366, 25152])).
% 5.16/4.67 tff(25154,plain,
% 5.16/4.67 (always3(s145)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4334, 25145])).
% 5.16/4.67 tff(25155,plain,
% 5.16/4.67 (~m_main_v_state(s145, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20984, 145, 25154])).
% 5.16/4.67 tff(25156,plain,
% 5.16/4.67 (m_main_v_state(s144, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23737, 25146])).
% 5.16/4.67 tff(25157,plain,
% 5.16/4.67 (~m_main_v_request(s144)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[20997, 25156, 25155])).
% 5.16/4.67 tff(25158,plain,
% 5.16/4.67 (~node4(s144)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21001, 63, 25157])).
% 5.16/4.67 tff(25159,plain,
% 5.16/4.67 (xuntil2p8(s144) | (~until2p7(s144))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9360, 8293, 25158])).
% 5.16/4.67 tff(25160,plain,
% 5.16/4.67 (xuntil2p8(s144)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25159, 25153])).
% 5.16/4.67 tff(25161,plain,
% 5.16/4.67 (until2p7(s145)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9354, 25160])).
% 5.16/4.67 tff(25162,plain,
% 5.16/4.67 (xuntil2p8(s145)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23773, 25161])).
% 5.16/4.67 tff(25163,plain,
% 5.16/4.67 (until2p7(s146)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9341, 25162])).
% 5.16/4.67 tff(25164,plain,
% 5.16/4.67 (xuntil2p8(s146)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9336, 25163])).
% 5.16/4.67 tff(25165,plain,
% 5.16/4.67 (until2p7(s147)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9331, 25164])).
% 5.16/4.67 tff(25166,plain,
% 5.16/4.67 (xuntil2p8(s147)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23778, 25165])).
% 5.16/4.67 tff(25167,plain,
% 5.16/4.67 (until2p7(s148)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9318, 25166])).
% 5.16/4.67 tff(25168,plain,
% 5.16/4.67 (xuntil2p8(s148)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9313, 25167])).
% 5.16/4.67 tff(25169,plain,
% 5.16/4.67 (until2p7(s149)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9273, 25168])).
% 5.16/4.67 tff(25170,plain,
% 5.16/4.67 (always3(s146)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4322, 25154])).
% 5.16/4.67 tff(25171,plain,
% 5.16/4.67 (always3(s147)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4310, 25170])).
% 5.16/4.67 tff(25172,plain,
% 5.16/4.67 (always3(s148)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4298, 25171])).
% 5.16/4.67 tff(25173,plain,
% 5.16/4.67 (always3(s149)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4286, 25172])).
% 5.16/4.67 tff(25174,plain,
% 5.16/4.67 (always3(s150)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4274, 25173])).
% 5.16/4.67 tff(25175,plain,
% 5.16/4.67 (~m_main_v_state(s150, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21867, 145, 25174])).
% 5.16/4.67 tff(25176,plain,
% 5.16/4.67 (~m_main_v_state(s149, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9287, 145, 25173])).
% 5.16/4.67 tff(25177,plain,
% 5.16/4.67 (m_main_v_state(s149, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[24102, 25176])).
% 5.16/4.67 tff(25178,plain,
% 5.16/4.67 (~m_main_v_request(s149)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21912, 25177, 25175])).
% 5.16/4.67 tff(25179,plain,
% 5.16/4.67 (~node4(s149)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21903, 63, 25178])).
% 5.16/4.67 tff(25180,plain,
% 5.16/4.67 (xuntil2p8(s149) | (~until2p7(s149))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9267, 8293, 25179])).
% 5.16/4.67 tff(25181,plain,
% 5.16/4.67 (xuntil2p8(s149)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25180, 25169])).
% 5.16/4.67 tff(25182,plain,
% 5.16/4.67 (until2p7(s150)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9261, 25181])).
% 5.16/4.67 tff(25183,plain,
% 5.16/4.67 (always3(s151)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4262, 25174])).
% 5.16/4.67 tff(25184,plain,
% 5.16/4.67 (~m_main_v_state(s151, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21839, 145, 25183])).
% 5.16/4.67 tff(25185,plain,
% 5.16/4.67 (m_main_v_state(s150, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21891, 188, 25175])).
% 5.16/4.67 tff(25186,plain,
% 5.16/4.67 (~m_main_v_request(s150)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21886, 25185, 25184])).
% 5.16/4.67 tff(25187,plain,
% 5.16/4.67 (~node4(s150)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21877, 63, 25186])).
% 5.16/4.67 tff(25188,plain,
% 5.16/4.67 (xuntil2p8(s150) | (~until2p7(s150))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9255, 8293, 25187])).
% 5.16/4.67 tff(25189,plain,
% 5.16/4.67 (xuntil2p8(s150)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25188, 25182])).
% 5.16/4.67 tff(25190,plain,
% 5.16/4.67 (until2p7(s151)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9249, 25189])).
% 5.16/4.67 tff(25191,plain,
% 5.16/4.67 (always3(s152)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4250, 25183])).
% 5.16/4.67 tff(25192,plain,
% 5.16/4.67 (~m_main_v_state(s152, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9220, 145, 25191])).
% 5.16/4.67 tff(25193,plain,
% 5.16/4.67 (m_main_v_state(s151, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[24065, 25184])).
% 5.16/4.67 tff(25194,plain,
% 5.16/4.67 (~m_main_v_request(s151)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21852, 25193, 25192])).
% 5.16/4.67 tff(25195,plain,
% 5.16/4.67 (~node4(s151)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21856, 63, 25194])).
% 5.16/4.67 tff(25196,plain,
% 5.16/4.67 (xuntil2p8(s151) | (~until2p7(s151))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9243, 8293, 25195])).
% 5.16/4.67 tff(25197,plain,
% 5.16/4.67 (xuntil2p8(s151)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25196, 25190])).
% 5.16/4.67 tff(25198,plain,
% 5.16/4.67 (until2p7(s152)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9235, 25197])).
% 5.16/4.67 tff(25199,plain,
% 5.16/4.67 (xuntil2p8(s152)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9230, 25198])).
% 5.16/4.67 tff(25200,plain,
% 5.16/4.67 (until2p7(s153)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9196, 25199])).
% 5.16/4.67 tff(25201,plain,
% 5.16/4.67 (xuntil2p8(s153)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9191, 25200])).
% 5.16/4.67 tff(25202,plain,
% 5.16/4.67 (until2p7(s154)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9151, 25201])).
% 5.16/4.67 tff(25203,plain,
% 5.16/4.67 (always3(s153)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4238, 25191])).
% 5.16/4.67 tff(25204,plain,
% 5.16/4.67 (always3(s154)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4226, 25203])).
% 5.16/4.67 tff(25205,plain,
% 5.16/4.67 (always3(s155)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4214, 25204])).
% 5.16/4.67 tff(25206,plain,
% 5.16/4.67 (~m_main_v_state(s155, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21693, 145, 25205])).
% 5.16/4.67 tff(25207,plain,
% 5.16/4.67 (~m_main_v_state(s154, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9165, 145, 25204])).
% 5.16/4.67 tff(25208,plain,
% 5.16/4.67 (m_main_v_state(s154, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21733, 188, 25207])).
% 5.16/4.67 tff(25209,plain,
% 5.16/4.67 (~m_main_v_request(s154)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21727, 25208, 25206])).
% 5.16/4.67 tff(25210,plain,
% 5.16/4.67 (~node4(s154)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21718, 63, 25209])).
% 5.16/4.67 tff(25211,plain,
% 5.16/4.67 (xuntil2p8(s154) | (~until2p7(s154))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9145, 8293, 25210])).
% 5.16/4.67 tff(25212,plain,
% 5.16/4.67 (xuntil2p8(s154)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25211, 25202])).
% 5.16/4.67 tff(25213,plain,
% 5.16/4.67 (until2p7(s155)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9139, 25212])).
% 5.16/4.67 tff(25214,plain,
% 5.16/4.67 (always3(s156)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4202, 25205])).
% 5.16/4.67 tff(25215,plain,
% 5.16/4.67 (~m_main_v_state(s156, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21663, 145, 25214])).
% 5.16/4.67 tff(25216,plain,
% 5.16/4.67 (m_main_v_state(s155, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21698, 188, 25206])).
% 5.16/4.67 tff(25217,plain,
% 5.16/4.67 (~m_main_v_request(s155)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21707, 25216, 25215])).
% 5.16/4.67 tff(25218,plain,
% 5.16/4.67 (~node4(s155)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21711, 63, 25217])).
% 5.16/4.67 tff(25219,plain,
% 5.16/4.67 (xuntil2p8(s155) | (~until2p7(s155))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9133, 8293, 25218])).
% 5.16/4.67 tff(25220,plain,
% 5.16/4.67 (xuntil2p8(s155)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25219, 25213])).
% 5.16/4.67 tff(25221,plain,
% 5.16/4.67 (until2p7(s156)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9127, 25220])).
% 5.16/4.67 tff(25222,plain,
% 5.16/4.67 (always3(s157)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4190, 25214])).
% 5.16/4.67 tff(25223,plain,
% 5.16/4.67 (always3(s158)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4178, 25222])).
% 5.16/4.67 tff(25224,plain,
% 5.16/4.67 (always3(s159)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4166, 25223])).
% 5.16/4.67 tff(25225,plain,
% 5.16/4.67 (always3(s160)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4154, 25224])).
% 5.16/4.67 tff(25226,plain,
% 5.16/4.67 (always3(s161)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4142, 25225])).
% 5.16/4.67 tff(25227,plain,
% 5.16/4.67 (always3(s162)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4130, 25226])).
% 5.16/4.67 tff(25228,plain,
% 5.16/4.67 (always3(s163)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4118, 25227])).
% 5.16/4.67 tff(25229,plain,
% 5.16/4.67 (always3(s164)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4106, 25228])).
% 5.16/4.67 tff(25230,plain,
% 5.16/4.67 (always3(s165)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4094, 25229])).
% 5.16/4.67 tff(25231,plain,
% 5.16/4.67 (always3(s166)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4082, 25230])).
% 5.16/4.67 tff(25232,plain,
% 5.16/4.67 (always3(s167)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4070, 25231])).
% 5.16/4.67 tff(25233,plain,
% 5.16/4.67 (always3(s168)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4058, 25232])).
% 5.16/4.67 tff(25234,plain,
% 5.16/4.67 (always3(s169)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4046, 25233])).
% 5.16/4.67 tff(25235,plain,
% 5.16/4.67 (always3(s170)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4034, 25234])).
% 5.16/4.67 tff(25236,plain,
% 5.16/4.67 (always3(s171)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4022, 25235])).
% 5.16/4.67 tff(25237,plain,
% 5.16/4.67 (always3(s172)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4010, 25236])).
% 5.16/4.67 tff(25238,plain,
% 5.16/4.67 (always3(s173)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[3998, 25237])).
% 5.16/4.67 tff(25239,plain,
% 5.16/4.67 (always3(s174)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[3986, 25238])).
% 5.16/4.67 tff(25240,plain,
% 5.16/4.67 (always3(s175)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[3973, 25239])).
% 5.16/4.67 tff(25241,plain,
% 5.16/4.67 (always3(s176)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[3961, 25240])).
% 5.16/4.67 tff(25242,plain,
% 5.16/4.67 (always3(s177)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[3949, 25241])).
% 5.16/4.67 tff(25243,plain,
% 5.16/4.67 (always3(s178)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[3937, 25242])).
% 5.16/4.67 tff(25244,plain,
% 5.16/4.67 (always3(s179)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[3925, 25243])).
% 5.16/4.67 tff(25245,plain,
% 5.16/4.67 (always3(s180)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[3913, 25244])).
% 5.16/4.67 tff(25246,plain,
% 5.16/4.67 (always3(s181)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[3901, 25245])).
% 5.16/4.67 tff(25247,plain,
% 5.16/4.67 (~m_main_v_state(s181, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23041, 145, 25246])).
% 5.16/4.67 tff(25248,plain,
% 5.16/4.67 (~m_main_v_state(s180, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23086, 145, 25245])).
% 5.16/4.67 tff(25249,plain,
% 5.16/4.67 (m_main_v_state(s180, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23090, 188, 25248])).
% 5.16/4.67 tff(25250,plain,
% 5.16/4.67 (~m_main_v_request(s180)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23079, 25249, 25247])).
% 5.16/4.67 tff(25251,plain,
% 5.16/4.67 (~node4(s180)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23070, 63, 25250])).
% 5.16/4.67 tff(25252,plain,
% 5.16/4.67 (always3(s182)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[3885, 25246])).
% 5.16/4.67 tff(25253,plain,
% 5.16/4.67 (~m_main_v_state(s182, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8159, 145, 25252])).
% 5.16/4.67 tff(25254,plain,
% 5.16/4.67 (m_main_v_state(s181, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23045, 188, 25247])).
% 5.16/4.67 tff(25255,plain,
% 5.16/4.67 (~m_main_v_request(s181)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23054, 25254, 25253])).
% 5.16/4.67 tff(25256,plain,
% 5.16/4.67 (~node4(s181)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23058, 63, 25255])).
% 5.16/4.67 tff(25257,plain,
% 5.16/4.67 (always3(s183)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[3873, 25252])).
% 5.16/4.67 tff(25258,plain,
% 5.16/4.67 (always3(s184)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[3857, 25257])).
% 5.16/4.67 tff(25259,plain,
% 5.16/4.67 (~m_main_v_state(s184, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8570, 145, 25258])).
% 5.16/4.67 tff(25260,plain,
% 5.16/4.67 (~m_main_v_state(s183, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8143, 145, 25257])).
% 5.16/4.67 tff(25261,plain,
% 5.16/4.67 (m_main_v_state(s182, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23834, 25253])).
% 5.16/4.67 tff(25262,plain,
% 5.16/4.67 (m_main_v_state(s183, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23852, 25261, 25260])).
% 5.16/4.67 tff(25263,plain,
% 5.16/4.67 (~m_main_v_request(s183)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23248, 25262, 25259])).
% 5.16/4.67 tff(25264,plain,
% 5.16/4.67 (~node4(s183)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23239, 63, 25263])).
% 5.16/4.67 tff(25265,plain,
% 5.16/4.67 (~until2p7(s183)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23857, 25264])).
% 5.16/4.67 tff(25266,plain,
% 5.16/4.67 (~xuntil2p8(s182)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8595, 25265])).
% 5.16/4.67 tff(25267,plain,
% 5.16/4.67 (~until2p7(s182)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8600, 25266])).
% 5.16/4.67 tff(25268,plain,
% 5.16/4.67 (~xuntil2p8(s181)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8605, 25267])).
% 5.16/4.67 tff(25269,plain,
% 5.16/4.67 (~until2p7(s181)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8609, 8293, 25268, 25256])).
% 5.16/4.67 tff(25270,plain,
% 5.16/4.67 (~xuntil2p8(s180)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8615, 25269])).
% 5.16/4.67 tff(25271,plain,
% 5.16/4.67 (~until2p7(s180)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8620, 8293, 25270, 25251])).
% 5.16/4.67 tff(25272,plain,
% 5.16/4.67 (~xuntil2p8(s179)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8626, 25271])).
% 5.16/4.67 tff(25273,plain,
% 5.16/4.67 (~m_main_v_state(s179, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8651, 145, 25244])).
% 5.16/4.67 tff(25274,plain,
% 5.16/4.67 (m_main_v_state(s179, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23199, 188, 25273])).
% 5.16/4.67 tff(25275,plain,
% 5.16/4.67 (~m_main_v_request(s179)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23178, 25274, 25248])).
% 5.16/4.67 tff(25276,plain,
% 5.16/4.67 (~node4(s179)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23167, 63, 25275])).
% 5.16/4.67 tff(25277,plain,
% 5.16/4.67 (xuntil2p8(s179) | (~until2p7(s179))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8631, 8293, 25276])).
% 5.16/4.67 tff(25278,plain,
% 5.16/4.67 (~until2p7(s179)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25277, 25272])).
% 5.16/4.67 tff(25279,plain,
% 5.16/4.67 (~xuntil2p8(s178)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8637, 25278])).
% 5.16/4.67 tff(25280,plain,
% 5.16/4.67 (~until2p7(s178)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8677, 25279])).
% 5.16/4.67 tff(25281,plain,
% 5.16/4.67 (~xuntil2p8(s177)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8682, 25280])).
% 5.16/4.67 tff(25282,plain,
% 5.16/4.67 (~until2p7(s177)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8716, 25281])).
% 5.16/4.67 tff(25283,plain,
% 5.16/4.67 (~xuntil2p8(s176)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8721, 25282])).
% 5.16/4.67 tff(25284,plain,
% 5.16/4.67 (~m_main_v_state(s177, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8706, 145, 25242])).
% 5.16/4.67 tff(25285,plain,
% 5.16/4.67 (~m_main_v_state(s176, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23111, 145, 25241])).
% 5.16/4.67 tff(25286,plain,
% 5.16/4.67 (m_main_v_state(s176, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23117, 188, 25285])).
% 5.16/4.67 tff(25287,plain,
% 5.16/4.67 (~m_main_v_request(s176)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23126, 25286, 25284])).
% 5.16/4.67 tff(25288,plain,
% 5.16/4.67 (~node4(s176)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23130, 63, 25287])).
% 5.16/4.67 tff(25289,plain,
% 5.16/4.67 (xuntil2p8(s176) | (~until2p7(s176))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8726, 8293, 25288])).
% 5.16/4.67 tff(25290,plain,
% 5.16/4.67 (~until2p7(s176)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25289, 25283])).
% 5.16/4.67 tff(25291,plain,
% 5.16/4.67 (~xuntil2p8(s175)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8732, 25290])).
% 5.16/4.67 tff(25292,plain,
% 5.16/4.67 (~m_main_v_state(s175, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22998, 145, 25240])).
% 5.16/4.67 tff(25293,plain,
% 5.16/4.67 (m_main_v_state(s175, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23152, 188, 25292])).
% 5.16/4.67 tff(25294,plain,
% 5.16/4.67 (~m_main_v_request(s175)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23146, 25293, 25285])).
% 5.16/4.67 tff(25295,plain,
% 5.16/4.67 (~node4(s175)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23137, 63, 25294])).
% 5.16/4.67 tff(25296,plain,
% 5.16/4.67 (xuntil2p8(s175) | (~until2p7(s175))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8737, 8293, 25295])).
% 5.16/4.67 tff(25297,plain,
% 5.16/4.67 (~until2p7(s175)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25296, 25291])).
% 5.16/4.67 tff(25298,plain,
% 5.16/4.67 (~xuntil2p8(s174)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8743, 25297])).
% 5.16/4.67 tff(25299,plain,
% 5.16/4.67 (~m_main_v_state(s174, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22810, 145, 25239])).
% 5.16/4.67 tff(25300,plain,
% 5.16/4.67 (m_main_v_state(s174, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23019, 188, 25299])).
% 5.16/4.67 tff(25301,plain,
% 5.16/4.67 (~m_main_v_request(s174)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23014, 25300, 25292])).
% 5.16/4.67 tff(25302,plain,
% 5.16/4.67 (~node4(s174)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23005, 63, 25301])).
% 5.16/4.67 tff(25303,plain,
% 5.16/4.67 (xuntil2p8(s174) | (~until2p7(s174))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8748, 8293, 25302])).
% 5.16/4.67 tff(25304,plain,
% 5.16/4.67 (~until2p7(s174)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25303, 25298])).
% 5.16/4.67 tff(25305,plain,
% 5.16/4.67 (~xuntil2p8(s173)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8754, 25304])).
% 5.16/4.67 tff(25306,plain,
% 5.16/4.67 (~m_main_v_state(s173, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22801, 145, 25238])).
% 5.16/4.67 tff(25307,plain,
% 5.16/4.67 (m_main_v_state(s173, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23919, 25306])).
% 5.16/4.67 tff(25308,plain,
% 5.16/4.67 (~m_main_v_request(s173)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22826, 25307, 25299])).
% 5.16/4.67 tff(25309,plain,
% 5.16/4.67 (~node4(s173)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22817, 63, 25308])).
% 5.16/4.67 tff(25310,plain,
% 5.16/4.67 (xuntil2p8(s173) | (~until2p7(s173))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8760, 8293, 25309])).
% 5.16/4.67 tff(25311,plain,
% 5.16/4.67 (~until2p7(s173)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25310, 25305])).
% 5.16/4.67 tff(25312,plain,
% 5.16/4.67 (~xuntil2p8(s172)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8766, 25311])).
% 5.16/4.67 tff(25313,plain,
% 5.16/4.67 (~m_main_v_state(s172, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22880, 145, 25237])).
% 5.16/4.67 tff(25314,plain,
% 5.16/4.67 (m_main_v_state(s172, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22948, 188, 25313])).
% 5.16/4.67 tff(25315,plain,
% 5.16/4.67 (~m_main_v_request(s172)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22942, 25314, 25306])).
% 5.16/4.67 tff(25316,plain,
% 5.16/4.67 (~node4(s172)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22933, 63, 25315])).
% 5.16/4.67 tff(25317,plain,
% 5.16/4.67 (xuntil2p8(s172) | (~until2p7(s172))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8772, 8293, 25316])).
% 5.16/4.67 tff(25318,plain,
% 5.16/4.67 (~until2p7(s172)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25317, 25312])).
% 5.16/4.67 tff(25319,plain,
% 5.16/4.67 (~xuntil2p8(s171)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8778, 25318])).
% 5.16/4.67 tff(25320,plain,
% 5.16/4.67 (~m_main_v_state(s171, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22872, 145, 25236])).
% 5.16/4.67 tff(25321,plain,
% 5.16/4.67 (m_main_v_state(s171, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22884, 188, 25320])).
% 5.16/4.67 tff(25322,plain,
% 5.16/4.67 (~m_main_v_request(s171)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22893, 25321, 25313])).
% 5.16/4.67 tff(25323,plain,
% 5.16/4.67 (~node4(s171)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22897, 63, 25322])).
% 5.16/4.67 tff(25324,plain,
% 5.16/4.67 (xuntil2p8(s171) | (~until2p7(s171))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8784, 8293, 25323])).
% 5.16/4.67 tff(25325,plain,
% 5.16/4.67 (~until2p7(s171)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25324, 25319])).
% 5.16/4.67 tff(25326,plain,
% 5.16/4.67 (~xuntil2p8(s170)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8790, 25325])).
% 5.16/4.67 tff(25327,plain,
% 5.16/4.67 (~m_main_v_state(s170, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22921, 145, 25235])).
% 5.16/4.67 tff(25328,plain,
% 5.16/4.67 (m_main_v_state(s170, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22925, 188, 25327])).
% 5.16/4.67 tff(25329,plain,
% 5.16/4.67 (~m_main_v_request(s170)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22913, 25328, 25320])).
% 5.16/4.67 tff(25330,plain,
% 5.16/4.67 (~node4(s170)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22904, 63, 25329])).
% 5.16/4.67 tff(25331,plain,
% 5.16/4.67 (xuntil2p8(s170) | (~until2p7(s170))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8796, 8293, 25330])).
% 5.16/4.67 tff(25332,plain,
% 5.16/4.67 (~until2p7(s170)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25331, 25326])).
% 5.16/4.67 tff(25333,plain,
% 5.16/4.67 (~xuntil2p8(s169)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8802, 25332])).
% 5.16/4.67 tff(25334,plain,
% 5.16/4.67 (~m_main_v_state(s169, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8828, 145, 25234])).
% 5.16/4.67 tff(25335,plain,
% 5.16/4.67 (m_main_v_state(s169, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23951, 25334])).
% 5.16/4.67 tff(25336,plain,
% 5.16/4.67 (~m_main_v_request(s169)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22966, 25335, 25327])).
% 5.16/4.67 tff(25337,plain,
% 5.16/4.67 (~node4(s169)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22970, 63, 25336])).
% 5.16/4.67 tff(25338,plain,
% 5.16/4.67 (xuntil2p8(s169) | (~until2p7(s169))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8808, 8293, 25337])).
% 5.16/4.67 tff(25339,plain,
% 5.16/4.67 (~until2p7(s169)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25338, 25333])).
% 5.16/4.67 tff(25340,plain,
% 5.16/4.67 (~xuntil2p8(s168)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8814, 25339])).
% 5.16/4.67 tff(25341,plain,
% 5.16/4.67 (~until2p7(s168)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8854, 25340])).
% 5.16/4.67 tff(25342,plain,
% 5.16/4.67 (~xuntil2p8(s167)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8859, 25341])).
% 5.16/4.67 tff(25343,plain,
% 5.16/4.67 (~m_main_v_state(s168, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8844, 145, 25233])).
% 5.16/4.67 tff(25344,plain,
% 5.16/4.67 (~m_main_v_state(s167, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8886, 145, 25232])).
% 5.16/4.67 tff(25345,plain,
% 5.16/4.67 (m_main_v_state(s167, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[23981, 25344])).
% 5.16/4.67 tff(25346,plain,
% 5.16/4.67 (~m_main_v_request(s167)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22436, 25345, 25343])).
% 5.16/4.67 tff(25347,plain,
% 5.16/4.67 (~node4(s167)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22427, 63, 25346])).
% 5.16/4.67 tff(25348,plain,
% 5.16/4.67 (xuntil2p8(s167) | (~until2p7(s167))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8866, 8293, 25347])).
% 5.16/4.67 tff(25349,plain,
% 5.16/4.67 (~until2p7(s167)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25348, 25342])).
% 5.16/4.67 tff(25350,plain,
% 5.16/4.67 (~xuntil2p8(s166)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8872, 25349])).
% 5.16/4.67 tff(25351,plain,
% 5.16/4.67 (~until2p7(s166)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8912, 25350])).
% 5.16/4.67 tff(25352,plain,
% 5.16/4.67 (~xuntil2p8(s165)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8917, 25351])).
% 5.16/4.67 tff(25353,plain,
% 5.16/4.67 (~until2p7(s165)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8951, 25352])).
% 5.16/4.67 tff(25354,plain,
% 5.16/4.67 (~xuntil2p8(s164)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8956, 25353])).
% 5.16/4.67 tff(25355,plain,
% 5.16/4.67 (~until2p7(s164)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8990, 25354])).
% 5.16/4.67 tff(25356,plain,
% 5.16/4.67 (~xuntil2p8(s163)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8995, 25355])).
% 5.16/4.67 tff(25357,plain,
% 5.16/4.67 (~m_main_v_state(s164, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[8980, 145, 25229])).
% 5.16/4.67 tff(25358,plain,
% 5.16/4.67 (~m_main_v_state(s163, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4567, 145, 25228])).
% 5.16/4.67 tff(25359,plain,
% 5.16/4.67 (m_main_v_state(s163, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22391, 188, 25358])).
% 5.16/4.67 tff(25360,plain,
% 5.16/4.67 (~m_main_v_request(s163)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22386, 25359, 25357])).
% 5.16/4.67 tff(25361,plain,
% 5.16/4.67 (~node4(s163)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[22377, 63, 25360])).
% 5.16/4.67 tff(25362,plain,
% 5.16/4.67 (xuntil2p8(s163) | (~until2p7(s163))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9004, 8293, 25361])).
% 5.16/4.67 tff(25363,plain,
% 5.16/4.67 (~until2p7(s163)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25362, 25356])).
% 5.16/4.67 tff(25364,plain,
% 5.16/4.67 (~xuntil2p8(s162)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9010, 25363])).
% 5.16/4.67 tff(25365,plain,
% 5.16/4.67 (~until2p7(s162)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9015, 25364])).
% 5.16/4.67 tff(25366,plain,
% 5.16/4.67 (~xuntil2p8(s161)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9020, 25365])).
% 5.16/4.67 tff(25367,plain,
% 5.16/4.67 (~m_main_v_state(s162, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[4583, 145, 25227])).
% 5.16/4.67 tff(25368,plain,
% 5.16/4.67 (~m_main_v_state(s161, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9047, 145, 25226])).
% 5.16/4.67 tff(25369,plain,
% 5.16/4.67 (m_main_v_state(s161, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21448, 188, 25368])).
% 5.16/4.67 tff(25370,plain,
% 5.16/4.67 (~m_main_v_request(s161)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21457, 25369, 25367])).
% 5.16/4.67 tff(25371,plain,
% 5.16/4.67 (~node4(s161)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21461, 63, 25370])).
% 5.16/4.67 tff(25372,plain,
% 5.16/4.67 (xuntil2p8(s161) | (~until2p7(s161))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9027, 8293, 25371])).
% 5.16/4.67 tff(25373,plain,
% 5.16/4.67 (~until2p7(s161)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25372, 25366])).
% 5.16/4.67 tff(25374,plain,
% 5.16/4.67 (~xuntil2p8(s160)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9033, 25373])).
% 5.16/4.67 tff(25375,plain,
% 5.16/4.67 (~until2p7(s160)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9073, 25374])).
% 5.16/4.67 tff(25376,plain,
% 5.16/4.67 (~xuntil2p8(s159)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9078, 25375])).
% 5.16/4.67 tff(25377,plain,
% 5.16/4.67 (~m_main_v_state(s160, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9063, 145, 25225])).
% 5.16/4.67 tff(25378,plain,
% 5.16/4.67 (~m_main_v_state(s159, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21547, 145, 25224])).
% 5.16/4.67 tff(25379,plain,
% 5.16/4.67 (~m_main_v_state(s158, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21560, 145, 25223])).
% 5.16/4.67 tff(25380,plain,
% 5.16/4.67 (m_main_v_state(s158, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21583, 25379])).
% 5.16/4.67 tff(25381,plain,
% 5.16/4.67 (m_main_v_state(s159, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21609, 25380, 25378])).
% 5.16/4.67 tff(25382,plain,
% 5.16/4.67 (~m_main_v_request(s159)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21540, 25381, 25377])).
% 5.16/4.67 tff(25383,plain,
% 5.16/4.67 (~node4(s159)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21510, 63, 25382])).
% 5.16/4.67 tff(25384,plain,
% 5.16/4.67 (xuntil2p8(s159) | (~until2p7(s159))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9085, 8293, 25383])).
% 5.16/4.67 tff(25385,plain,
% 5.16/4.67 (~until2p7(s159)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25384, 25376])).
% 5.16/4.67 tff(25386,plain,
% 5.16/4.67 (~xuntil2p8(s158)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9091, 25385])).
% 5.16/4.67 tff(25387,plain,
% 5.16/4.67 (~node4(s158)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21625, 25378])).
% 5.16/4.67 tff(25388,plain,
% 5.16/4.67 (xuntil2p8(s158) | (~until2p7(s158))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9097, 8293, 25387])).
% 5.16/4.67 tff(25389,plain,
% 5.16/4.67 (~until2p7(s158)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25388, 25386])).
% 5.16/4.67 tff(25390,plain,
% 5.16/4.67 (~xuntil2p8(s157)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9103, 25389])).
% 5.16/4.67 tff(25391,plain,
% 5.16/4.67 (~m_main_v_state(s157, c_busy)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21636, 145, 25222])).
% 5.16/4.67 tff(25392,plain,
% 5.16/4.67 (m_main_v_state(s157, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21640, 188, 25391])).
% 5.16/4.67 tff(25393,plain,
% 5.16/4.67 (~m_main_v_request(s157)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21649, 25392, 25379])).
% 5.16/4.67 tff(25394,plain,
% 5.16/4.67 (~node4(s157)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21653, 63, 25393])).
% 5.16/4.67 tff(25395,plain,
% 5.16/4.67 (xuntil2p8(s157) | (~until2p7(s157))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9109, 8293, 25394])).
% 5.16/4.67 tff(25396,plain,
% 5.16/4.67 (~until2p7(s157)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25395, 25390])).
% 5.16/4.67 tff(25397,plain,
% 5.16/4.67 (~xuntil2p8(s156)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9115, 25396])).
% 5.16/4.67 tff(25398,plain,
% 5.16/4.67 (m_main_v_state(s156, c_ready)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21667, 188, 25215])).
% 5.16/4.67 tff(25399,plain,
% 5.16/4.67 (~m_main_v_request(s156)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21751, 25398, 25391])).
% 5.16/4.67 tff(25400,plain,
% 5.16/4.67 (~node4(s156)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[21742, 63, 25399])).
% 5.16/4.67 tff(25401,plain,
% 5.16/4.67 (xuntil2p8(s156) | (~until2p7(s156))),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[9121, 8293, 25400])).
% 5.16/4.67 tff(25402,plain,
% 5.16/4.67 ($false),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25401, 25397, 25221])).
% 5.16/4.67 tff(25403,plain,((~trans(s199, s133)) | xuntil2p8(s183) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.16/4.67 tff(25404,plain,
% 5.16/4.67 (~trans(s199, s133)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25403, 11264, 25054])).
% 5.16/4.67 tff(25405,plain,
% 5.16/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s121) | (~trans(s199, s121)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s121) | (~trans(s199, s121)))),
% 5.16/4.67 inference(rewrite,[status(thm)],[])).
% 5.16/4.67 tff(25406,plain,
% 5.16/4.67 (((~trans(s199, s121)) | (~always3(s199)) | always3(s121)) <=> ((~always3(s199)) | always3(s121) | (~trans(s199, s121)))),
% 5.16/4.67 inference(rewrite,[status(thm)],[])).
% 5.16/4.67 tff(25407,plain,
% 5.16/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s121)) | (~always3(s199)) | always3(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s121) | (~trans(s199, s121))))),
% 5.16/4.67 inference(monotonicity,[status(thm)],[25406])).
% 5.16/4.67 tff(25408,plain,
% 5.16/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s121)) | (~always3(s199)) | always3(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s121) | (~trans(s199, s121)))),
% 5.16/4.67 inference(transitivity,[status(thm)],[25407, 25405])).
% 5.16/4.67 tff(25409,plain,
% 5.16/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s121)) | (~always3(s199)) | always3(s121))),
% 5.16/4.67 inference(quant_inst,[status(thm)],[])).
% 5.16/4.67 tff(25410,plain,
% 5.16/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s121) | (~trans(s199, s121))),
% 5.16/4.67 inference(modus_ponens,[status(thm)],[25409, 25408])).
% 5.16/4.67 tff(25411,plain,
% 5.16/4.67 ($false),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25410, 12662, 38, 15335, 18666])).
% 5.16/4.67 tff(25412,plain,((~trans(s199, s121)) | (~always3(s199)) | always3(s121)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.67 tff(25413,plain,
% 5.16/4.67 ((~trans(s199, s121)) | always3(s121)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25412, 15333])).
% 5.16/4.67 tff(25414,plain,
% 5.16/4.67 (~trans(s199, s121)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25413, 18756])).
% 5.16/4.67 tff(25415,plain,
% 5.16/4.67 (~trans(s199, s188)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[12186, 11264, 25045])).
% 5.16/4.67 tff(25416,plain,
% 5.16/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s139) | (~trans(s199, s139)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s139) | (~trans(s199, s139)))),
% 5.16/4.67 inference(rewrite,[status(thm)],[])).
% 5.16/4.67 tff(25417,plain,
% 5.16/4.67 (((~trans(s199, s139)) | (~always3(s199)) | always3(s139)) <=> ((~always3(s199)) | always3(s139) | (~trans(s199, s139)))),
% 5.16/4.67 inference(rewrite,[status(thm)],[])).
% 5.16/4.67 tff(25418,plain,
% 5.16/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s139)) | (~always3(s199)) | always3(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s139) | (~trans(s199, s139))))),
% 5.16/4.67 inference(monotonicity,[status(thm)],[25417])).
% 5.16/4.67 tff(25419,plain,
% 5.16/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s139)) | (~always3(s199)) | always3(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s139) | (~trans(s199, s139)))),
% 5.16/4.67 inference(transitivity,[status(thm)],[25418, 25416])).
% 5.16/4.67 tff(25420,plain,
% 5.16/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s139)) | (~always3(s199)) | always3(s139))),
% 5.16/4.67 inference(quant_inst,[status(thm)],[])).
% 5.16/4.67 tff(25421,plain,
% 5.16/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s139) | (~trans(s199, s139))),
% 5.16/4.67 inference(modus_ponens,[status(thm)],[25420, 25419])).
% 5.16/4.67 tff(25422,plain,
% 5.16/4.67 ($false),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25421, 11408, 38, 15335, 20544])).
% 5.16/4.67 tff(25423,plain,((~trans(s199, s139)) | (~always3(s199)) | always3(s139)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.67 tff(25424,plain,
% 5.16/4.67 ((~trans(s199, s139)) | always3(s139)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25423, 15333])).
% 5.16/4.67 tff(25425,plain,
% 5.16/4.67 (~trans(s199, s139)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25424, 20623])).
% 5.16/4.67 tff(25426,assumption,(~always3(s138)), introduced(assumption)).
% 5.16/4.67 tff(25427,plain,
% 5.16/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s138) | (~trans(s199, s138)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s138) | (~trans(s199, s138)))),
% 5.16/4.67 inference(rewrite,[status(thm)],[])).
% 5.16/4.67 tff(25428,plain,
% 5.16/4.67 (((~trans(s199, s138)) | (~always3(s199)) | always3(s138)) <=> ((~always3(s199)) | always3(s138) | (~trans(s199, s138)))),
% 5.16/4.67 inference(rewrite,[status(thm)],[])).
% 5.16/4.67 tff(25429,plain,
% 5.16/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s138)) | (~always3(s199)) | always3(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s138) | (~trans(s199, s138))))),
% 5.16/4.67 inference(monotonicity,[status(thm)],[25428])).
% 5.16/4.67 tff(25430,plain,
% 5.16/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s138)) | (~always3(s199)) | always3(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s138) | (~trans(s199, s138)))),
% 5.16/4.67 inference(transitivity,[status(thm)],[25429, 25427])).
% 5.16/4.67 tff(25431,plain,
% 5.16/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s138)) | (~always3(s199)) | always3(s138))),
% 5.16/4.67 inference(quant_inst,[status(thm)],[])).
% 5.16/4.67 tff(25432,plain,
% 5.16/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s138) | (~trans(s199, s138))),
% 5.16/4.67 inference(modus_ponens,[status(thm)],[25431, 25430])).
% 5.16/4.67 tff(25433,plain,
% 5.16/4.67 ($false),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25432, 11485, 38, 15335, 25426])).
% 5.16/4.67 tff(25434,plain,((~trans(s199, s138)) | (~always3(s199)) | always3(s138)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.67 tff(25435,plain,
% 5.16/4.67 ((~trans(s199, s138)) | always3(s138)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25434, 15333])).
% 5.16/4.67 tff(25436,plain,
% 5.16/4.67 (~trans(s199, s138)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25435, 20628])).
% 5.16/4.67 tff(25437,plain,
% 5.16/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s142) | (~trans(s199, s142)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s142) | (~trans(s199, s142)))),
% 5.16/4.67 inference(rewrite,[status(thm)],[])).
% 5.16/4.67 tff(25438,plain,
% 5.16/4.67 (((~trans(s199, s142)) | (~always3(s199)) | always3(s142)) <=> ((~always3(s199)) | always3(s142) | (~trans(s199, s142)))),
% 5.16/4.67 inference(rewrite,[status(thm)],[])).
% 5.16/4.67 tff(25439,plain,
% 5.16/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s142)) | (~always3(s199)) | always3(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s142) | (~trans(s199, s142))))),
% 5.16/4.67 inference(monotonicity,[status(thm)],[25438])).
% 5.16/4.67 tff(25440,plain,
% 5.16/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s142)) | (~always3(s199)) | always3(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s142) | (~trans(s199, s142)))),
% 5.16/4.67 inference(transitivity,[status(thm)],[25439, 25437])).
% 5.16/4.67 tff(25441,plain,
% 5.16/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s142)) | (~always3(s199)) | always3(s142))),
% 5.16/4.67 inference(quant_inst,[status(thm)],[])).
% 5.16/4.67 tff(25442,plain,
% 5.16/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s142) | (~trans(s199, s142))),
% 5.16/4.67 inference(modus_ponens,[status(thm)],[25441, 25440])).
% 5.16/4.67 tff(25443,plain,
% 5.16/4.67 ($false),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25442, 11727, 38, 15335, 20609])).
% 5.16/4.67 tff(25444,plain,((~trans(s199, s142)) | (~always3(s199)) | always3(s142)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.67 tff(25445,plain,
% 5.16/4.67 ((~trans(s199, s142)) | always3(s142)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25444, 15333])).
% 5.16/4.67 tff(25446,plain,
% 5.16/4.67 (~trans(s199, s142)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25445, 20609])).
% 5.16/4.67 tff(25447,plain,
% 5.16/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s140) | (~trans(s199, s140)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s140) | (~trans(s199, s140)))),
% 5.16/4.67 inference(rewrite,[status(thm)],[])).
% 5.16/4.67 tff(25448,plain,
% 5.16/4.67 (((~trans(s199, s140)) | (~always3(s199)) | always3(s140)) <=> ((~always3(s199)) | always3(s140) | (~trans(s199, s140)))),
% 5.16/4.67 inference(rewrite,[status(thm)],[])).
% 5.16/4.67 tff(25449,plain,
% 5.16/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s140)) | (~always3(s199)) | always3(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s140) | (~trans(s199, s140))))),
% 5.16/4.67 inference(monotonicity,[status(thm)],[25448])).
% 5.16/4.67 tff(25450,plain,
% 5.16/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s140)) | (~always3(s199)) | always3(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s140) | (~trans(s199, s140)))),
% 5.16/4.67 inference(transitivity,[status(thm)],[25449, 25447])).
% 5.16/4.67 tff(25451,plain,
% 5.16/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s140)) | (~always3(s199)) | always3(s140))),
% 5.16/4.67 inference(quant_inst,[status(thm)],[])).
% 5.16/4.67 tff(25452,plain,
% 5.16/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s140) | (~trans(s199, s140))),
% 5.16/4.67 inference(modus_ponens,[status(thm)],[25451, 25450])).
% 5.16/4.67 tff(25453,plain,
% 5.16/4.67 ($false),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25452, 12398, 38, 15335, 20222])).
% 5.16/4.67 tff(25454,plain,((~trans(s199, s140)) | (~always3(s199)) | always3(s140)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.67 tff(25455,plain,
% 5.16/4.67 ((~trans(s199, s140)) | always3(s140)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25454, 15333])).
% 5.16/4.67 tff(25456,plain,
% 5.16/4.67 (~trans(s199, s140)),
% 5.16/4.67 inference(unit_resolution,[status(thm)],[25455, 20618])).
% 5.16/4.67 tff(25457,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s134) | (~trans(s199, s134)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s134) | (~trans(s199, s134)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25458,plain,
% 5.16/4.68 (((~trans(s199, s134)) | (~always3(s199)) | always3(s134)) <=> ((~always3(s199)) | always3(s134) | (~trans(s199, s134)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25459,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s134)) | (~always3(s199)) | always3(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s134) | (~trans(s199, s134))))),
% 5.16/4.68 inference(monotonicity,[status(thm)],[25458])).
% 5.16/4.68 tff(25460,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s134)) | (~always3(s199)) | always3(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s134) | (~trans(s199, s134)))),
% 5.16/4.68 inference(transitivity,[status(thm)],[25459, 25457])).
% 5.16/4.68 tff(25461,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s134)) | (~always3(s199)) | always3(s134))),
% 5.16/4.68 inference(quant_inst,[status(thm)],[])).
% 5.16/4.68 tff(25462,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s134) | (~trans(s199, s134))),
% 5.16/4.68 inference(modus_ponens,[status(thm)],[25461, 25460])).
% 5.16/4.68 tff(25463,plain,
% 5.16/4.68 ($false),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25462, 12420, 38, 15335, 19282])).
% 5.16/4.68 tff(25464,plain,((~trans(s199, s134)) | (~always3(s199)) | always3(s134)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.68 tff(25465,plain,
% 5.16/4.68 ((~trans(s199, s134)) | always3(s134)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25464, 15333])).
% 5.16/4.68 tff(25466,plain,
% 5.16/4.68 (~trans(s199, s134)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25465, 20648])).
% 5.16/4.68 tff(25467,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s137) | (~trans(s199, s137)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s137) | (~trans(s199, s137)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25468,plain,
% 5.16/4.68 (((~trans(s199, s137)) | (~always3(s199)) | always3(s137)) <=> ((~always3(s199)) | always3(s137) | (~trans(s199, s137)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25469,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s137)) | (~always3(s199)) | always3(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s137) | (~trans(s199, s137))))),
% 5.16/4.68 inference(monotonicity,[status(thm)],[25468])).
% 5.16/4.68 tff(25470,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s137)) | (~always3(s199)) | always3(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s137) | (~trans(s199, s137)))),
% 5.16/4.68 inference(transitivity,[status(thm)],[25469, 25467])).
% 5.16/4.68 tff(25471,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s137)) | (~always3(s199)) | always3(s137))),
% 5.16/4.68 inference(quant_inst,[status(thm)],[])).
% 5.16/4.68 tff(25472,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s137) | (~trans(s199, s137))),
% 5.16/4.68 inference(modus_ponens,[status(thm)],[25471, 25470])).
% 5.16/4.68 tff(25473,plain,
% 5.16/4.68 ($false),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25472, 12750, 38, 15335, 19853])).
% 5.16/4.68 tff(25474,plain,((~trans(s199, s137)) | (~always3(s199)) | always3(s137)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.68 tff(25475,plain,
% 5.16/4.68 ((~trans(s199, s137)) | always3(s137)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25474, 15333])).
% 5.16/4.68 tff(25476,plain,
% 5.16/4.68 (~trans(s199, s137)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25475, 20633])).
% 5.16/4.68 tff(25477,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s136) | (~trans(s199, s136)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s136) | (~trans(s199, s136)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25478,plain,
% 5.16/4.68 (((~trans(s199, s136)) | (~always3(s199)) | always3(s136)) <=> ((~always3(s199)) | always3(s136) | (~trans(s199, s136)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25479,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s136)) | (~always3(s199)) | always3(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s136) | (~trans(s199, s136))))),
% 5.16/4.68 inference(monotonicity,[status(thm)],[25478])).
% 5.16/4.68 tff(25480,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s136)) | (~always3(s199)) | always3(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s136) | (~trans(s199, s136)))),
% 5.16/4.68 inference(transitivity,[status(thm)],[25479, 25477])).
% 5.16/4.68 tff(25481,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s136)) | (~always3(s199)) | always3(s136))),
% 5.16/4.68 inference(quant_inst,[status(thm)],[])).
% 5.16/4.68 tff(25482,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s136) | (~trans(s199, s136))),
% 5.16/4.68 inference(modus_ponens,[status(thm)],[25481, 25480])).
% 5.16/4.68 tff(25483,plain,
% 5.16/4.68 ($false),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25482, 13223, 38, 15335, 20142])).
% 5.16/4.68 tff(25484,plain,((~trans(s199, s136)) | (~always3(s199)) | always3(s136)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.68 tff(25485,plain,
% 5.16/4.68 ((~trans(s199, s136)) | always3(s136)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25484, 15333])).
% 5.16/4.68 tff(25486,plain,
% 5.16/4.68 (~trans(s199, s136)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25485, 20638])).
% 5.16/4.68 tff(25487,assumption,(~always3(s135)), introduced(assumption)).
% 5.16/4.68 tff(25488,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s135) | (~trans(s199, s135)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s135) | (~trans(s199, s135)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25489,plain,
% 5.16/4.68 (((~trans(s199, s135)) | (~always3(s199)) | always3(s135)) <=> ((~always3(s199)) | always3(s135) | (~trans(s199, s135)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25490,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s135)) | (~always3(s199)) | always3(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s135) | (~trans(s199, s135))))),
% 5.16/4.68 inference(monotonicity,[status(thm)],[25489])).
% 5.16/4.68 tff(25491,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s135)) | (~always3(s199)) | always3(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s135) | (~trans(s199, s135)))),
% 5.16/4.68 inference(transitivity,[status(thm)],[25490, 25488])).
% 5.16/4.68 tff(25492,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s135)) | (~always3(s199)) | always3(s135))),
% 5.16/4.68 inference(quant_inst,[status(thm)],[])).
% 5.16/4.68 tff(25493,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s135) | (~trans(s199, s135))),
% 5.16/4.68 inference(modus_ponens,[status(thm)],[25492, 25491])).
% 5.16/4.68 tff(25494,plain,
% 5.16/4.68 ($false),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25493, 13267, 38, 15335, 25487])).
% 5.16/4.68 tff(25495,plain,((~trans(s199, s135)) | (~always3(s199)) | always3(s135)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.68 tff(25496,plain,
% 5.16/4.68 ((~trans(s199, s135)) | always3(s135)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25495, 15333])).
% 5.16/4.68 tff(25497,plain,
% 5.16/4.68 (~trans(s199, s135)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25496, 20643])).
% 5.16/4.68 tff(25498,assumption,(~always3(s141)), introduced(assumption)).
% 5.16/4.68 tff(25499,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s141) | (~trans(s199, s141)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s141) | (~trans(s199, s141)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25500,plain,
% 5.16/4.68 (((~trans(s199, s141)) | (~always3(s199)) | always3(s141)) <=> ((~always3(s199)) | always3(s141) | (~trans(s199, s141)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25501,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s141)) | (~always3(s199)) | always3(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s141) | (~trans(s199, s141))))),
% 5.16/4.68 inference(monotonicity,[status(thm)],[25500])).
% 5.16/4.68 tff(25502,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s141)) | (~always3(s199)) | always3(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s141) | (~trans(s199, s141)))),
% 5.16/4.68 inference(transitivity,[status(thm)],[25501, 25499])).
% 5.16/4.68 tff(25503,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s141)) | (~always3(s199)) | always3(s141))),
% 5.16/4.68 inference(quant_inst,[status(thm)],[])).
% 5.16/4.68 tff(25504,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s141) | (~trans(s199, s141))),
% 5.16/4.68 inference(modus_ponens,[status(thm)],[25503, 25502])).
% 5.16/4.68 tff(25505,plain,
% 5.16/4.68 ($false),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25504, 13300, 38, 15335, 25498])).
% 5.16/4.68 tff(25506,plain,((~trans(s199, s141)) | (~always3(s199)) | always3(s141)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.68 tff(25507,plain,
% 5.16/4.68 ((~trans(s199, s141)) | always3(s141)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25506, 15333])).
% 5.16/4.68 tff(25508,plain,
% 5.16/4.68 (~trans(s199, s141)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25507, 20610])).
% 5.16/4.68 tff(25509,plain,
% 5.16/4.68 (~always3(s164)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4094, 22407])).
% 5.16/4.68 tff(25510,plain,
% 5.16/4.68 (~always3(s163)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4106, 25509])).
% 5.16/4.68 tff(25511,plain,
% 5.16/4.68 (~always3(s162)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4118, 25510])).
% 5.16/4.68 tff(25512,plain,
% 5.16/4.68 (~always3(s161)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4130, 25511])).
% 5.16/4.68 tff(25513,plain,
% 5.16/4.68 (~always3(s160)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4142, 25512])).
% 5.16/4.68 tff(25514,plain,
% 5.16/4.68 (~always3(s159)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4154, 25513])).
% 5.16/4.68 tff(25515,plain,
% 5.16/4.68 (~always3(s158)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4166, 25514])).
% 5.16/4.68 tff(25516,plain,
% 5.16/4.68 (~always3(s157)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4178, 25515])).
% 5.16/4.68 tff(25517,plain,
% 5.16/4.68 (~always3(s156)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4190, 25516])).
% 5.16/4.68 tff(25518,plain,
% 5.16/4.68 (~always3(s155)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4202, 25517])).
% 5.16/4.68 tff(25519,plain,
% 5.16/4.68 (~always3(s154)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4214, 25518])).
% 5.16/4.68 tff(25520,plain,
% 5.16/4.68 (~always3(s153)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4226, 25519])).
% 5.16/4.68 tff(25521,plain,
% 5.16/4.68 (~always3(s152)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4238, 25520])).
% 5.16/4.68 tff(25522,plain,
% 5.16/4.68 (~always3(s151)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4250, 25521])).
% 5.16/4.68 tff(25523,plain,
% 5.16/4.68 (~always3(s150)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4262, 25522])).
% 5.16/4.68 tff(25524,plain,
% 5.16/4.68 (~always3(s149)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4274, 25523])).
% 5.16/4.68 tff(25525,plain,
% 5.16/4.68 (~always3(s148)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4286, 25524])).
% 5.16/4.68 tff(25526,assumption,(~always3(s148)), introduced(assumption)).
% 5.16/4.68 tff(25527,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s148) | (~trans(s199, s148)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s148) | (~trans(s199, s148)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25528,plain,
% 5.16/4.68 (((~trans(s199, s148)) | (~always3(s199)) | always3(s148)) <=> ((~always3(s199)) | always3(s148) | (~trans(s199, s148)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25529,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s148)) | (~always3(s199)) | always3(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s148) | (~trans(s199, s148))))),
% 5.16/4.68 inference(monotonicity,[status(thm)],[25528])).
% 5.16/4.68 tff(25530,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s148)) | (~always3(s199)) | always3(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s148) | (~trans(s199, s148)))),
% 5.16/4.68 inference(transitivity,[status(thm)],[25529, 25527])).
% 5.16/4.68 tff(25531,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s148)) | (~always3(s199)) | always3(s148))),
% 5.16/4.68 inference(quant_inst,[status(thm)],[])).
% 5.16/4.68 tff(25532,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s148) | (~trans(s199, s148))),
% 5.16/4.68 inference(modus_ponens,[status(thm)],[25531, 25530])).
% 5.16/4.68 tff(25533,plain,
% 5.16/4.68 ($false),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25532, 11452, 38, 15335, 25526])).
% 5.16/4.68 tff(25534,plain,((~trans(s199, s148)) | (~always3(s199)) | always3(s148)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.68 tff(25535,plain,
% 5.16/4.68 ((~trans(s199, s148)) | always3(s148)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25534, 15333])).
% 5.16/4.68 tff(25536,plain,
% 5.16/4.68 (~trans(s199, s148)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25535, 25525])).
% 5.16/4.68 tff(25537,plain,
% 5.16/4.68 (~always3(s147)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4298, 25525])).
% 5.16/4.68 tff(25538,plain,
% 5.16/4.68 (~always3(s146)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4310, 25537])).
% 5.16/4.68 tff(25539,assumption,(~always3(s146)), introduced(assumption)).
% 5.16/4.68 tff(25540,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s146) | (~trans(s199, s146)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s146) | (~trans(s199, s146)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25541,plain,
% 5.16/4.68 (((~trans(s199, s146)) | (~always3(s199)) | always3(s146)) <=> ((~always3(s199)) | always3(s146) | (~trans(s199, s146)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25542,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s146)) | (~always3(s199)) | always3(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s146) | (~trans(s199, s146))))),
% 5.16/4.68 inference(monotonicity,[status(thm)],[25541])).
% 5.16/4.68 tff(25543,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s146)) | (~always3(s199)) | always3(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s146) | (~trans(s199, s146)))),
% 5.16/4.68 inference(transitivity,[status(thm)],[25542, 25540])).
% 5.16/4.68 tff(25544,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s146)) | (~always3(s199)) | always3(s146))),
% 5.16/4.68 inference(quant_inst,[status(thm)],[])).
% 5.16/4.68 tff(25545,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s146) | (~trans(s199, s146))),
% 5.16/4.68 inference(modus_ponens,[status(thm)],[25544, 25543])).
% 5.16/4.68 tff(25546,plain,
% 5.16/4.68 ($false),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25545, 11474, 38, 15335, 25539])).
% 5.16/4.68 tff(25547,plain,((~trans(s199, s146)) | (~always3(s199)) | always3(s146)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.68 tff(25548,plain,
% 5.16/4.68 ((~trans(s199, s146)) | always3(s146)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25547, 15333])).
% 5.16/4.68 tff(25549,plain,
% 5.16/4.68 (~trans(s199, s146)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25548, 25538])).
% 5.16/4.68 tff(25550,assumption,(~always3(s162)), introduced(assumption)).
% 5.16/4.68 tff(25551,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s162) | (~trans(s199, s162)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s162) | (~trans(s199, s162)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25552,plain,
% 5.16/4.68 (((~trans(s199, s162)) | (~always3(s199)) | always3(s162)) <=> ((~always3(s199)) | always3(s162) | (~trans(s199, s162)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25553,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s162)) | (~always3(s199)) | always3(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s162) | (~trans(s199, s162))))),
% 5.16/4.68 inference(monotonicity,[status(thm)],[25552])).
% 5.16/4.68 tff(25554,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s162)) | (~always3(s199)) | always3(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s162) | (~trans(s199, s162)))),
% 5.16/4.68 inference(transitivity,[status(thm)],[25553, 25551])).
% 5.16/4.68 tff(25555,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s162)) | (~always3(s199)) | always3(s162))),
% 5.16/4.68 inference(quant_inst,[status(thm)],[])).
% 5.16/4.68 tff(25556,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s162) | (~trans(s199, s162))),
% 5.16/4.68 inference(modus_ponens,[status(thm)],[25555, 25554])).
% 5.16/4.68 tff(25557,plain,
% 5.16/4.68 ($false),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25556, 11507, 38, 15335, 25550])).
% 5.16/4.68 tff(25558,plain,((~trans(s199, s162)) | (~always3(s199)) | always3(s162)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.68 tff(25559,plain,
% 5.16/4.68 ((~trans(s199, s162)) | always3(s162)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25558, 15333])).
% 5.16/4.68 tff(25560,plain,
% 5.16/4.68 (~trans(s199, s162)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25559, 25511])).
% 5.16/4.68 tff(25561,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s155) | (~trans(s199, s155)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s155) | (~trans(s199, s155)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25562,plain,
% 5.16/4.68 (((~trans(s199, s155)) | (~always3(s199)) | always3(s155)) <=> ((~always3(s199)) | always3(s155) | (~trans(s199, s155)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25563,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s155)) | (~always3(s199)) | always3(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s155) | (~trans(s199, s155))))),
% 5.16/4.68 inference(monotonicity,[status(thm)],[25562])).
% 5.16/4.68 tff(25564,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s155)) | (~always3(s199)) | always3(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s155) | (~trans(s199, s155)))),
% 5.16/4.68 inference(transitivity,[status(thm)],[25563, 25561])).
% 5.16/4.68 tff(25565,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s155)) | (~always3(s199)) | always3(s155))),
% 5.16/4.68 inference(quant_inst,[status(thm)],[])).
% 5.16/4.68 tff(25566,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s155) | (~trans(s199, s155))),
% 5.16/4.68 inference(modus_ponens,[status(thm)],[25565, 25564])).
% 5.16/4.68 tff(25567,plain,
% 5.16/4.68 ($false),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25566, 11595, 38, 15335, 21677])).
% 5.16/4.68 tff(25568,plain,((~trans(s199, s155)) | (~always3(s199)) | always3(s155)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.68 tff(25569,plain,
% 5.16/4.68 ((~trans(s199, s155)) | always3(s155)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25568, 15333])).
% 5.16/4.68 tff(25570,plain,
% 5.16/4.68 (~trans(s199, s155)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25569, 25518])).
% 5.16/4.68 tff(25571,plain,
% 5.16/4.68 (~always3(s145)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[4322, 25538])).
% 5.16/4.68 tff(25572,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s145) | (~trans(s199, s145)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s145) | (~trans(s199, s145)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25573,plain,
% 5.16/4.68 (((~trans(s199, s145)) | (~always3(s199)) | always3(s145)) <=> ((~always3(s199)) | always3(s145) | (~trans(s199, s145)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25574,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s145)) | (~always3(s199)) | always3(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s145) | (~trans(s199, s145))))),
% 5.16/4.68 inference(monotonicity,[status(thm)],[25573])).
% 5.16/4.68 tff(25575,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s145)) | (~always3(s199)) | always3(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s145) | (~trans(s199, s145)))),
% 5.16/4.68 inference(transitivity,[status(thm)],[25574, 25572])).
% 5.16/4.68 tff(25576,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s145)) | (~always3(s199)) | always3(s145))),
% 5.16/4.68 inference(quant_inst,[status(thm)],[])).
% 5.16/4.68 tff(25577,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s145) | (~trans(s199, s145))),
% 5.16/4.68 inference(modus_ponens,[status(thm)],[25576, 25575])).
% 5.16/4.68 tff(25578,plain,
% 5.16/4.68 ($false),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25577, 12794, 38, 15335, 21028])).
% 5.16/4.68 tff(25579,plain,((~trans(s199, s145)) | (~always3(s199)) | always3(s145)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.68 tff(25580,plain,
% 5.16/4.68 ((~trans(s199, s145)) | always3(s145)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25579, 15333])).
% 5.16/4.68 tff(25581,plain,
% 5.16/4.68 (~trans(s199, s145)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25580, 25571])).
% 5.16/4.68 tff(25582,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s159) | (~trans(s199, s159)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s159) | (~trans(s199, s159)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25583,plain,
% 5.16/4.68 (((~trans(s199, s159)) | (~always3(s199)) | always3(s159)) <=> ((~always3(s199)) | always3(s159) | (~trans(s199, s159)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25584,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s159)) | (~always3(s199)) | always3(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s159) | (~trans(s199, s159))))),
% 5.16/4.68 inference(monotonicity,[status(thm)],[25583])).
% 5.16/4.68 tff(25585,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s159)) | (~always3(s199)) | always3(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s159) | (~trans(s199, s159)))),
% 5.16/4.68 inference(transitivity,[status(thm)],[25584, 25582])).
% 5.16/4.68 tff(25586,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s159)) | (~always3(s199)) | always3(s159))),
% 5.16/4.68 inference(quant_inst,[status(thm)],[])).
% 5.16/4.68 tff(25587,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s159) | (~trans(s199, s159))),
% 5.16/4.68 inference(modus_ponens,[status(thm)],[25586, 25585])).
% 5.16/4.68 tff(25588,plain,
% 5.16/4.68 ($false),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25587, 11661, 38, 15335, 21512])).
% 5.16/4.68 tff(25589,plain,((~trans(s199, s159)) | (~always3(s199)) | always3(s159)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.68 tff(25590,plain,
% 5.16/4.68 ((~trans(s199, s159)) | always3(s159)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25589, 15333])).
% 5.16/4.68 tff(25591,plain,
% 5.16/4.68 (~trans(s199, s159)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25590, 25514])).
% 5.16/4.68 tff(25592,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s156) | (~trans(s199, s156)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s156) | (~trans(s199, s156)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25593,plain,
% 5.16/4.68 (((~trans(s199, s156)) | (~always3(s199)) | always3(s156)) <=> ((~always3(s199)) | always3(s156) | (~trans(s199, s156)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25594,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s156)) | (~always3(s199)) | always3(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s156) | (~trans(s199, s156))))),
% 5.16/4.68 inference(monotonicity,[status(thm)],[25593])).
% 5.16/4.68 tff(25595,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s156)) | (~always3(s199)) | always3(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s156) | (~trans(s199, s156)))),
% 5.16/4.68 inference(transitivity,[status(thm)],[25594, 25592])).
% 5.16/4.68 tff(25596,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s156)) | (~always3(s199)) | always3(s156))),
% 5.16/4.68 inference(quant_inst,[status(thm)],[])).
% 5.16/4.68 tff(25597,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s156) | (~trans(s199, s156))),
% 5.16/4.68 inference(modus_ponens,[status(thm)],[25596, 25595])).
% 5.16/4.68 tff(25598,plain,
% 5.16/4.68 ($false),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25597, 11771, 38, 15335, 21470])).
% 5.16/4.68 tff(25599,plain,((~trans(s199, s156)) | (~always3(s199)) | always3(s156)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.68 tff(25600,plain,
% 5.16/4.68 ((~trans(s199, s156)) | always3(s156)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25599, 15333])).
% 5.16/4.68 tff(25601,plain,
% 5.16/4.68 (~trans(s199, s156)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25600, 25517])).
% 5.16/4.68 tff(25602,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s157) | (~trans(s199, s157)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s157) | (~trans(s199, s157)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25603,plain,
% 5.16/4.68 (((~trans(s199, s157)) | (~always3(s199)) | always3(s157)) <=> ((~always3(s199)) | always3(s157) | (~trans(s199, s157)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25604,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s157)) | (~always3(s199)) | always3(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s157) | (~trans(s199, s157))))),
% 5.16/4.68 inference(monotonicity,[status(thm)],[25603])).
% 5.16/4.68 tff(25605,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s157)) | (~always3(s199)) | always3(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s157) | (~trans(s199, s157)))),
% 5.16/4.68 inference(transitivity,[status(thm)],[25604, 25602])).
% 5.16/4.68 tff(25606,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s157)) | (~always3(s199)) | always3(s157))),
% 5.16/4.68 inference(quant_inst,[status(thm)],[])).
% 5.16/4.68 tff(25607,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s157) | (~trans(s199, s157))),
% 5.16/4.68 inference(modus_ponens,[status(thm)],[25606, 25605])).
% 5.16/4.68 tff(25608,plain,
% 5.16/4.68 ($false),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25607, 11859, 38, 15335, 21468])).
% 5.16/4.68 tff(25609,plain,((~trans(s199, s157)) | (~always3(s199)) | always3(s157)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.68 tff(25610,plain,
% 5.16/4.68 ((~trans(s199, s157)) | always3(s157)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25609, 15333])).
% 5.16/4.68 tff(25611,plain,
% 5.16/4.68 (~trans(s199, s157)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25610, 25516])).
% 5.16/4.68 tff(25612,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s150) | (~trans(s199, s150)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s150) | (~trans(s199, s150)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25613,plain,
% 5.16/4.68 (((~trans(s199, s150)) | (~always3(s199)) | always3(s150)) <=> ((~always3(s199)) | always3(s150) | (~trans(s199, s150)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25614,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s150)) | (~always3(s199)) | always3(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s150) | (~trans(s199, s150))))),
% 5.16/4.68 inference(monotonicity,[status(thm)],[25613])).
% 5.16/4.68 tff(25615,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s150)) | (~always3(s199)) | always3(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s150) | (~trans(s199, s150)))),
% 5.16/4.68 inference(transitivity,[status(thm)],[25614, 25612])).
% 5.16/4.68 tff(25616,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s150)) | (~always3(s199)) | always3(s150))),
% 5.16/4.68 inference(quant_inst,[status(thm)],[])).
% 5.16/4.68 tff(25617,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s150) | (~trans(s199, s150))),
% 5.16/4.68 inference(modus_ponens,[status(thm)],[25616, 25615])).
% 5.16/4.68 tff(25618,plain,
% 5.16/4.68 ($false),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25617, 11881, 38, 15335, 4802])).
% 5.16/4.68 tff(25619,plain,((~trans(s199, s150)) | (~always3(s199)) | always3(s150)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.68 tff(25620,plain,
% 5.16/4.68 ((~trans(s199, s150)) | always3(s150)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25619, 15333])).
% 5.16/4.68 tff(25621,plain,
% 5.16/4.68 (~trans(s199, s150)),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25620, 25523])).
% 5.16/4.68 tff(25622,assumption,(~always3(s153)), introduced(assumption)).
% 5.16/4.68 tff(25623,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s153) | (~trans(s199, s153)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s153) | (~trans(s199, s153)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25624,plain,
% 5.16/4.68 (((~trans(s199, s153)) | (~always3(s199)) | always3(s153)) <=> ((~always3(s199)) | always3(s153) | (~trans(s199, s153)))),
% 5.16/4.68 inference(rewrite,[status(thm)],[])).
% 5.16/4.68 tff(25625,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s153)) | (~always3(s199)) | always3(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s153) | (~trans(s199, s153))))),
% 5.16/4.68 inference(monotonicity,[status(thm)],[25624])).
% 5.16/4.68 tff(25626,plain,
% 5.16/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s153)) | (~always3(s199)) | always3(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s153) | (~trans(s199, s153)))),
% 5.16/4.68 inference(transitivity,[status(thm)],[25625, 25623])).
% 5.16/4.68 tff(25627,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s153)) | (~always3(s199)) | always3(s153))),
% 5.16/4.68 inference(quant_inst,[status(thm)],[])).
% 5.16/4.68 tff(25628,plain,
% 5.16/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s153) | (~trans(s199, s153))),
% 5.16/4.68 inference(modus_ponens,[status(thm)],[25627, 25626])).
% 5.16/4.68 tff(25629,plain,
% 5.16/4.68 ($false),
% 5.16/4.68 inference(unit_resolution,[status(thm)],[25628, 11936, 38, 15335, 25622])).
% 5.16/4.69 tff(25630,plain,((~trans(s199, s153)) | (~always3(s199)) | always3(s153)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.69 tff(25631,plain,
% 5.16/4.69 ((~trans(s199, s153)) | always3(s153)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25630, 15333])).
% 5.16/4.69 tff(25632,plain,
% 5.16/4.69 (~trans(s199, s153)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25631, 25520])).
% 5.16/4.69 tff(25633,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s161) | (~trans(s199, s161)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s161) | (~trans(s199, s161)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25634,plain,
% 5.16/4.69 (((~trans(s199, s161)) | (~always3(s199)) | always3(s161)) <=> ((~always3(s199)) | always3(s161) | (~trans(s199, s161)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25635,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s161)) | (~always3(s199)) | always3(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s161) | (~trans(s199, s161))))),
% 5.16/4.69 inference(monotonicity,[status(thm)],[25634])).
% 5.16/4.69 tff(25636,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s161)) | (~always3(s199)) | always3(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s161) | (~trans(s199, s161)))),
% 5.16/4.69 inference(transitivity,[status(thm)],[25635, 25633])).
% 5.16/4.69 tff(25637,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s161)) | (~always3(s199)) | always3(s161))),
% 5.16/4.69 inference(quant_inst,[status(thm)],[])).
% 5.16/4.69 tff(25638,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s161) | (~trans(s199, s161))),
% 5.16/4.69 inference(modus_ponens,[status(thm)],[25637, 25636])).
% 5.16/4.69 tff(25639,plain,
% 5.16/4.69 ($false),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25638, 11947, 38, 15335, 4603])).
% 5.16/4.69 tff(25640,plain,((~trans(s199, s161)) | (~always3(s199)) | always3(s161)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.69 tff(25641,plain,
% 5.16/4.69 ((~trans(s199, s161)) | always3(s161)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25640, 15333])).
% 5.16/4.69 tff(25642,plain,
% 5.16/4.69 (~trans(s199, s161)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25641, 25512])).
% 5.16/4.69 tff(25643,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s158) | (~trans(s199, s158)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s158) | (~trans(s199, s158)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25644,plain,
% 5.16/4.69 (((~trans(s199, s158)) | (~always3(s199)) | always3(s158)) <=> ((~always3(s199)) | always3(s158) | (~trans(s199, s158)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25645,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s158)) | (~always3(s199)) | always3(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s158) | (~trans(s199, s158))))),
% 5.16/4.69 inference(monotonicity,[status(thm)],[25644])).
% 5.16/4.69 tff(25646,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s158)) | (~always3(s199)) | always3(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s158) | (~trans(s199, s158)))),
% 5.16/4.69 inference(transitivity,[status(thm)],[25645, 25643])).
% 5.16/4.69 tff(25647,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s158)) | (~always3(s199)) | always3(s158))),
% 5.16/4.69 inference(quant_inst,[status(thm)],[])).
% 5.16/4.69 tff(25648,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s158) | (~trans(s199, s158))),
% 5.16/4.69 inference(modus_ponens,[status(thm)],[25647, 25646])).
% 5.16/4.69 tff(25649,plain,
% 5.16/4.69 ($false),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25648, 12200, 38, 15335, 21358])).
% 5.16/4.69 tff(25650,plain,((~trans(s199, s158)) | (~always3(s199)) | always3(s158)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.69 tff(25651,plain,
% 5.16/4.69 ((~trans(s199, s158)) | always3(s158)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25650, 15333])).
% 5.16/4.69 tff(25652,plain,
% 5.16/4.69 (~trans(s199, s158)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25651, 25515])).
% 5.16/4.69 tff(25653,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s149) | (~trans(s199, s149)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s149) | (~trans(s199, s149)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25654,plain,
% 5.16/4.69 (((~trans(s199, s149)) | (~always3(s199)) | always3(s149)) <=> ((~always3(s199)) | always3(s149) | (~trans(s199, s149)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25655,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s149)) | (~always3(s199)) | always3(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s149) | (~trans(s199, s149))))),
% 5.16/4.69 inference(monotonicity,[status(thm)],[25654])).
% 5.16/4.69 tff(25656,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s149)) | (~always3(s199)) | always3(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s149) | (~trans(s199, s149)))),
% 5.16/4.69 inference(transitivity,[status(thm)],[25655, 25653])).
% 5.16/4.69 tff(25657,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s149)) | (~always3(s199)) | always3(s149))),
% 5.16/4.69 inference(quant_inst,[status(thm)],[])).
% 5.16/4.69 tff(25658,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s149) | (~trans(s199, s149))),
% 5.16/4.69 inference(modus_ponens,[status(thm)],[25657, 25656])).
% 5.16/4.69 tff(25659,plain,
% 5.16/4.69 ($false),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25658, 12288, 38, 15335, 21914])).
% 5.16/4.69 tff(25660,plain,((~trans(s199, s149)) | (~always3(s199)) | always3(s149)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.69 tff(25661,plain,
% 5.16/4.69 ((~trans(s199, s149)) | always3(s149)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25660, 15333])).
% 5.16/4.69 tff(25662,plain,
% 5.16/4.69 (~trans(s199, s149)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25661, 25524])).
% 5.16/4.69 tff(25663,assumption,(~always3(s160)), introduced(assumption)).
% 5.16/4.69 tff(25664,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s160) | (~trans(s199, s160)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s160) | (~trans(s199, s160)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25665,plain,
% 5.16/4.69 (((~trans(s199, s160)) | (~always3(s199)) | always3(s160)) <=> ((~always3(s199)) | always3(s160) | (~trans(s199, s160)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25666,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s160)) | (~always3(s199)) | always3(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s160) | (~trans(s199, s160))))),
% 5.16/4.69 inference(monotonicity,[status(thm)],[25665])).
% 5.16/4.69 tff(25667,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s160)) | (~always3(s199)) | always3(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s160) | (~trans(s199, s160)))),
% 5.16/4.69 inference(transitivity,[status(thm)],[25666, 25664])).
% 5.16/4.69 tff(25668,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s160)) | (~always3(s199)) | always3(s160))),
% 5.16/4.69 inference(quant_inst,[status(thm)],[])).
% 5.16/4.69 tff(25669,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s160) | (~trans(s199, s160))),
% 5.16/4.69 inference(modus_ponens,[status(thm)],[25668, 25667])).
% 5.16/4.69 tff(25670,plain,
% 5.16/4.69 ($false),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25669, 12585, 38, 15335, 25663])).
% 5.16/4.69 tff(25671,plain,((~trans(s199, s160)) | (~always3(s199)) | always3(s160)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.69 tff(25672,plain,
% 5.16/4.69 ((~trans(s199, s160)) | always3(s160)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25671, 15333])).
% 5.16/4.69 tff(25673,plain,
% 5.16/4.69 (~trans(s199, s160)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25672, 25513])).
% 5.16/4.69 tff(25674,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s151) | (~trans(s199, s151)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s151) | (~trans(s199, s151)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25675,plain,
% 5.16/4.69 (((~trans(s199, s151)) | (~always3(s199)) | always3(s151)) <=> ((~always3(s199)) | always3(s151) | (~trans(s199, s151)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25676,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s151)) | (~always3(s199)) | always3(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s151) | (~trans(s199, s151))))),
% 5.16/4.69 inference(monotonicity,[status(thm)],[25675])).
% 5.16/4.69 tff(25677,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s151)) | (~always3(s199)) | always3(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s151) | (~trans(s199, s151)))),
% 5.16/4.69 inference(transitivity,[status(thm)],[25676, 25674])).
% 5.16/4.69 tff(25678,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s151)) | (~always3(s199)) | always3(s151))),
% 5.16/4.69 inference(quant_inst,[status(thm)],[])).
% 5.16/4.69 tff(25679,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s151) | (~trans(s199, s151))),
% 5.16/4.69 inference(modus_ponens,[status(thm)],[25678, 25677])).
% 5.16/4.69 tff(25680,plain,
% 5.16/4.69 ($false),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25679, 12596, 38, 15335, 21756])).
% 5.16/4.69 tff(25681,plain,((~trans(s199, s151)) | (~always3(s199)) | always3(s151)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.69 tff(25682,plain,
% 5.16/4.69 ((~trans(s199, s151)) | always3(s151)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25681, 15333])).
% 5.16/4.69 tff(25683,plain,
% 5.16/4.69 (~trans(s199, s151)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25682, 25522])).
% 5.16/4.69 tff(25684,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s163) | (~trans(s199, s163)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s163) | (~trans(s199, s163)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25685,plain,
% 5.16/4.69 (((~trans(s199, s163)) | (~always3(s199)) | always3(s163)) <=> ((~always3(s199)) | always3(s163) | (~trans(s199, s163)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25686,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s163)) | (~always3(s199)) | always3(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s163) | (~trans(s199, s163))))),
% 5.16/4.69 inference(monotonicity,[status(thm)],[25685])).
% 5.16/4.69 tff(25687,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s163)) | (~always3(s199)) | always3(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s163) | (~trans(s199, s163)))),
% 5.16/4.69 inference(transitivity,[status(thm)],[25686, 25684])).
% 5.16/4.69 tff(25688,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s163)) | (~always3(s199)) | always3(s163))),
% 5.16/4.69 inference(quant_inst,[status(thm)],[])).
% 5.16/4.69 tff(25689,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s163) | (~trans(s199, s163))),
% 5.16/4.69 inference(modus_ponens,[status(thm)],[25688, 25687])).
% 5.16/4.69 tff(25690,plain,
% 5.16/4.69 ($false),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25689, 12783, 38, 15335, 22030])).
% 5.16/4.69 tff(25691,plain,((~trans(s199, s163)) | (~always3(s199)) | always3(s163)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.69 tff(25692,plain,
% 5.16/4.69 ((~trans(s199, s163)) | always3(s163)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25691, 15333])).
% 5.16/4.69 tff(25693,plain,
% 5.16/4.69 (~trans(s199, s163)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25692, 25510])).
% 5.16/4.69 tff(25694,assumption,(~always3(s154)), introduced(assumption)).
% 5.16/4.69 tff(25695,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s154) | (~trans(s199, s154)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s154) | (~trans(s199, s154)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25696,plain,
% 5.16/4.69 (((~trans(s199, s154)) | (~always3(s199)) | always3(s154)) <=> ((~always3(s199)) | always3(s154) | (~trans(s199, s154)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25697,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s154)) | (~always3(s199)) | always3(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s154) | (~trans(s199, s154))))),
% 5.16/4.69 inference(monotonicity,[status(thm)],[25696])).
% 5.16/4.69 tff(25698,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s154)) | (~always3(s199)) | always3(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s154) | (~trans(s199, s154)))),
% 5.16/4.69 inference(transitivity,[status(thm)],[25697, 25695])).
% 5.16/4.69 tff(25699,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s154)) | (~always3(s199)) | always3(s154))),
% 5.16/4.69 inference(quant_inst,[status(thm)],[])).
% 5.16/4.69 tff(25700,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s154) | (~trans(s199, s154))),
% 5.16/4.69 inference(modus_ponens,[status(thm)],[25699, 25698])).
% 5.16/4.69 tff(25701,plain,
% 5.16/4.69 ($false),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25700, 13311, 38, 15335, 25694])).
% 5.16/4.69 tff(25702,plain,((~trans(s199, s154)) | (~always3(s199)) | always3(s154)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.69 tff(25703,plain,
% 5.16/4.69 ((~trans(s199, s154)) | always3(s154)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25702, 15333])).
% 5.16/4.69 tff(25704,plain,
% 5.16/4.69 (~trans(s199, s154)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25703, 25519])).
% 5.16/4.69 tff(25705,assumption,(~always3(s152)), introduced(assumption)).
% 5.16/4.69 tff(25706,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s152) | (~trans(s199, s152)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s152) | (~trans(s199, s152)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25707,plain,
% 5.16/4.69 (((~trans(s199, s152)) | (~always3(s199)) | always3(s152)) <=> ((~always3(s199)) | always3(s152) | (~trans(s199, s152)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25708,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s152)) | (~always3(s199)) | always3(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s152) | (~trans(s199, s152))))),
% 5.16/4.69 inference(monotonicity,[status(thm)],[25707])).
% 5.16/4.69 tff(25709,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s152)) | (~always3(s199)) | always3(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s152) | (~trans(s199, s152)))),
% 5.16/4.69 inference(transitivity,[status(thm)],[25708, 25706])).
% 5.16/4.69 tff(25710,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s152)) | (~always3(s199)) | always3(s152))),
% 5.16/4.69 inference(quant_inst,[status(thm)],[])).
% 5.16/4.69 tff(25711,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s152) | (~trans(s199, s152))),
% 5.16/4.69 inference(modus_ponens,[status(thm)],[25710, 25709])).
% 5.16/4.69 tff(25712,plain,
% 5.16/4.69 ($false),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25711, 13102, 38, 15335, 25705])).
% 5.16/4.69 tff(25713,plain,((~trans(s199, s152)) | (~always3(s199)) | always3(s152)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.69 tff(25714,plain,
% 5.16/4.69 ((~trans(s199, s152)) | always3(s152)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25713, 15333])).
% 5.16/4.69 tff(25715,plain,
% 5.16/4.69 (~trans(s199, s152)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25714, 25521])).
% 5.16/4.69 tff(25716,plain,
% 5.16/4.69 (~always3(s174)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[3973, 23100])).
% 5.16/4.69 tff(25717,plain,
% 5.16/4.69 (~always3(s173)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[3986, 25716])).
% 5.16/4.69 tff(25718,plain,
% 5.16/4.69 (~always3(s172)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[3998, 25717])).
% 5.16/4.69 tff(25719,plain,
% 5.16/4.69 (~always3(s171)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4010, 25718])).
% 5.16/4.69 tff(25720,plain,
% 5.16/4.69 (~always3(s170)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4022, 25719])).
% 5.16/4.69 tff(25721,plain,
% 5.16/4.69 (~always3(s169)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4034, 25720])).
% 5.16/4.69 tff(25722,plain,
% 5.16/4.69 (~always3(s168)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4046, 25721])).
% 5.16/4.69 tff(25723,plain,
% 5.16/4.69 (~always3(s167)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4058, 25722])).
% 5.16/4.69 tff(25724,plain,
% 5.16/4.69 (~always3(s166)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4070, 25723])).
% 5.16/4.69 tff(25725,plain,
% 5.16/4.69 (~always3(s165)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4082, 25724])).
% 5.16/4.69 tff(25726,plain,
% 5.16/4.69 (~always3(s164)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4094, 25725])).
% 5.16/4.69 tff(25727,plain,
% 5.16/4.69 (~always3(s163)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4106, 25726])).
% 5.16/4.69 tff(25728,plain,
% 5.16/4.69 (~always3(s162)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4118, 25727])).
% 5.16/4.69 tff(25729,plain,
% 5.16/4.69 (~always3(s161)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4130, 25728])).
% 5.16/4.69 tff(25730,plain,
% 5.16/4.69 (~always3(s160)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4142, 25729])).
% 5.16/4.69 tff(25731,plain,
% 5.16/4.69 (~always3(s159)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4154, 25730])).
% 5.16/4.69 tff(25732,plain,
% 5.16/4.69 (~always3(s158)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4166, 25731])).
% 5.16/4.69 tff(25733,plain,
% 5.16/4.69 (~always3(s157)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4178, 25732])).
% 5.16/4.69 tff(25734,plain,
% 5.16/4.69 (~always3(s156)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4190, 25733])).
% 5.16/4.69 tff(25735,plain,
% 5.16/4.69 (~always3(s155)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4202, 25734])).
% 5.16/4.69 tff(25736,plain,
% 5.16/4.69 (~always3(s154)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4214, 25735])).
% 5.16/4.69 tff(25737,plain,
% 5.16/4.69 (~always3(s153)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4226, 25736])).
% 5.16/4.69 tff(25738,plain,
% 5.16/4.69 (~always3(s152)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4238, 25737])).
% 5.16/4.69 tff(25739,plain,
% 5.16/4.69 (~always3(s151)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4250, 25738])).
% 5.16/4.69 tff(25740,plain,
% 5.16/4.69 (~always3(s150)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4262, 25739])).
% 5.16/4.69 tff(25741,plain,
% 5.16/4.69 (~always3(s149)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4274, 25740])).
% 5.16/4.69 tff(25742,plain,
% 5.16/4.69 (~always3(s148)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4286, 25741])).
% 5.16/4.69 tff(25743,plain,
% 5.16/4.69 (~always3(s147)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4298, 25742])).
% 5.16/4.69 tff(25744,assumption,(~always3(s147)), introduced(assumption)).
% 5.16/4.69 tff(25745,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s147) | (~trans(s199, s147)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s147) | (~trans(s199, s147)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25746,plain,
% 5.16/4.69 (((~trans(s199, s147)) | (~always3(s199)) | always3(s147)) <=> ((~always3(s199)) | always3(s147) | (~trans(s199, s147)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25747,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s147)) | (~always3(s199)) | always3(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s147) | (~trans(s199, s147))))),
% 5.16/4.69 inference(monotonicity,[status(thm)],[25746])).
% 5.16/4.69 tff(25748,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s147)) | (~always3(s199)) | always3(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s147) | (~trans(s199, s147)))),
% 5.16/4.69 inference(transitivity,[status(thm)],[25747, 25745])).
% 5.16/4.69 tff(25749,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s147)) | (~always3(s199)) | always3(s147))),
% 5.16/4.69 inference(quant_inst,[status(thm)],[])).
% 5.16/4.69 tff(25750,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s147) | (~trans(s199, s147))),
% 5.16/4.69 inference(modus_ponens,[status(thm)],[25749, 25748])).
% 5.16/4.69 tff(25751,plain,
% 5.16/4.69 ($false),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25750, 11320, 38, 15335, 25744])).
% 5.16/4.69 tff(25752,plain,((~trans(s199, s147)) | (~always3(s199)) | always3(s147)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.69 tff(25753,plain,
% 5.16/4.69 ((~trans(s199, s147)) | always3(s147)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25752, 15333])).
% 5.16/4.69 tff(25754,plain,
% 5.16/4.69 (~trans(s199, s147)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25753, 25743])).
% 5.16/4.69 tff(25755,assumption,(~always3(s166)), introduced(assumption)).
% 5.16/4.69 tff(25756,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s166) | (~trans(s199, s166)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s166) | (~trans(s199, s166)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25757,plain,
% 5.16/4.69 (((~trans(s199, s166)) | (~always3(s199)) | always3(s166)) <=> ((~always3(s199)) | always3(s166) | (~trans(s199, s166)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25758,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s166)) | (~always3(s199)) | always3(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s166) | (~trans(s199, s166))))),
% 5.16/4.69 inference(monotonicity,[status(thm)],[25757])).
% 5.16/4.69 tff(25759,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s166)) | (~always3(s199)) | always3(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s166) | (~trans(s199, s166)))),
% 5.16/4.69 inference(transitivity,[status(thm)],[25758, 25756])).
% 5.16/4.69 tff(25760,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s166)) | (~always3(s199)) | always3(s166))),
% 5.16/4.69 inference(quant_inst,[status(thm)],[])).
% 5.16/4.69 tff(25761,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s166) | (~trans(s199, s166))),
% 5.16/4.69 inference(modus_ponens,[status(thm)],[25760, 25759])).
% 5.16/4.69 tff(25762,plain,
% 5.16/4.69 ($false),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25761, 13014, 38, 15335, 25755])).
% 5.16/4.69 tff(25763,plain,((~trans(s199, s166)) | (~always3(s199)) | always3(s166)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.69 tff(25764,plain,
% 5.16/4.69 ((~trans(s199, s166)) | always3(s166)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25763, 15333])).
% 5.16/4.69 tff(25765,plain,
% 5.16/4.69 (~trans(s199, s166)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25764, 25724])).
% 5.16/4.69 tff(25766,plain,
% 5.16/4.69 (~trans(s199, s192)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[13363, 11264, 25037])).
% 5.16/4.69 tff(25767,plain,
% 5.16/4.69 (~trans(s199, s190)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[11383, 11264, 25041])).
% 5.16/4.69 tff(25768,plain,
% 5.16/4.69 (~always3(s173)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[3986, 23221])).
% 5.16/4.69 tff(25769,plain,
% 5.16/4.69 (~always3(s172)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[3998, 25768])).
% 5.16/4.69 tff(25770,plain,
% 5.16/4.69 (~always3(s171)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4010, 25769])).
% 5.16/4.69 tff(25771,plain,
% 5.16/4.69 (~always3(s170)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4022, 25770])).
% 5.16/4.69 tff(25772,plain,
% 5.16/4.69 (~always3(s169)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4034, 25771])).
% 5.16/4.69 tff(25773,plain,
% 5.16/4.69 (~always3(s168)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4046, 25772])).
% 5.16/4.69 tff(25774,plain,
% 5.16/4.69 (~always3(s167)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4058, 25773])).
% 5.16/4.69 tff(25775,plain,
% 5.16/4.69 (~always3(s166)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4070, 25774])).
% 5.16/4.69 tff(25776,plain,
% 5.16/4.69 (~always3(s165)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4082, 25775])).
% 5.16/4.69 tff(25777,plain,
% 5.16/4.69 (~always3(s164)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4094, 25776])).
% 5.16/4.69 tff(25778,plain,
% 5.16/4.69 (~always3(s163)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4106, 25777])).
% 5.16/4.69 tff(25779,plain,
% 5.16/4.69 (~always3(s162)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4118, 25778])).
% 5.16/4.69 tff(25780,plain,
% 5.16/4.69 (~always3(s161)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4130, 25779])).
% 5.16/4.69 tff(25781,plain,
% 5.16/4.69 (~always3(s160)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4142, 25780])).
% 5.16/4.69 tff(25782,plain,
% 5.16/4.69 (~always3(s159)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4154, 25781])).
% 5.16/4.69 tff(25783,plain,
% 5.16/4.69 (~always3(s158)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4166, 25782])).
% 5.16/4.69 tff(25784,plain,
% 5.16/4.69 (~always3(s157)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4178, 25783])).
% 5.16/4.69 tff(25785,plain,
% 5.16/4.69 (~always3(s156)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4190, 25784])).
% 5.16/4.69 tff(25786,plain,
% 5.16/4.69 (~always3(s155)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4202, 25785])).
% 5.16/4.69 tff(25787,plain,
% 5.16/4.69 (~always3(s154)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4214, 25786])).
% 5.16/4.69 tff(25788,plain,
% 5.16/4.69 (~always3(s153)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4226, 25787])).
% 5.16/4.69 tff(25789,plain,
% 5.16/4.69 (~always3(s152)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4238, 25788])).
% 5.16/4.69 tff(25790,plain,
% 5.16/4.69 (~always3(s151)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4250, 25789])).
% 5.16/4.69 tff(25791,plain,
% 5.16/4.69 (~always3(s150)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4262, 25790])).
% 5.16/4.69 tff(25792,plain,
% 5.16/4.69 (~always3(s149)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4274, 25791])).
% 5.16/4.69 tff(25793,plain,
% 5.16/4.69 (~always3(s148)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4286, 25792])).
% 5.16/4.69 tff(25794,plain,
% 5.16/4.69 (~always3(s147)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4298, 25793])).
% 5.16/4.69 tff(25795,plain,
% 5.16/4.69 (~trans(s199, s147)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25753, 25794])).
% 5.16/4.69 tff(25796,assumption,(~always3(s168)), introduced(assumption)).
% 5.16/4.69 tff(25797,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s168) | (~trans(s199, s168)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s168) | (~trans(s199, s168)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25798,plain,
% 5.16/4.69 (((~trans(s199, s168)) | (~always3(s199)) | always3(s168)) <=> ((~always3(s199)) | always3(s168) | (~trans(s199, s168)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25799,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s168)) | (~always3(s199)) | always3(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s168) | (~trans(s199, s168))))),
% 5.16/4.69 inference(monotonicity,[status(thm)],[25798])).
% 5.16/4.69 tff(25800,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s168)) | (~always3(s199)) | always3(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s168) | (~trans(s199, s168)))),
% 5.16/4.69 inference(transitivity,[status(thm)],[25799, 25797])).
% 5.16/4.69 tff(25801,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s168)) | (~always3(s199)) | always3(s168))),
% 5.16/4.69 inference(quant_inst,[status(thm)],[])).
% 5.16/4.69 tff(25802,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s168) | (~trans(s199, s168))),
% 5.16/4.69 inference(modus_ponens,[status(thm)],[25801, 25800])).
% 5.16/4.69 tff(25803,plain,
% 5.16/4.69 ($false),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25802, 13080, 38, 15335, 25796])).
% 5.16/4.69 tff(25804,plain,((~trans(s199, s168)) | (~always3(s199)) | always3(s168)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.69 tff(25805,plain,
% 5.16/4.69 ((~trans(s199, s168)) | always3(s168)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25804, 15333])).
% 5.16/4.69 tff(25806,plain,
% 5.16/4.69 (~trans(s199, s168)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25805, 25773])).
% 5.16/4.69 tff(25807,assumption,(~always3(s182)), introduced(assumption)).
% 5.16/4.69 tff(25808,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s182) | (~trans(s199, s182)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s182) | (~trans(s199, s182)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25809,plain,
% 5.16/4.69 (((~trans(s199, s182)) | (~always3(s199)) | always3(s182)) <=> ((~always3(s199)) | always3(s182) | (~trans(s199, s182)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25810,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s182)) | (~always3(s199)) | always3(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s182) | (~trans(s199, s182))))),
% 5.16/4.69 inference(monotonicity,[status(thm)],[25809])).
% 5.16/4.69 tff(25811,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s182)) | (~always3(s199)) | always3(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s182) | (~trans(s199, s182)))),
% 5.16/4.69 inference(transitivity,[status(thm)],[25810, 25808])).
% 5.16/4.69 tff(25812,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s182)) | (~always3(s199)) | always3(s182))),
% 5.16/4.69 inference(quant_inst,[status(thm)],[])).
% 5.16/4.69 tff(25813,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s182) | (~trans(s199, s182))),
% 5.16/4.69 inference(modus_ponens,[status(thm)],[25812, 25811])).
% 5.16/4.69 tff(25814,plain,
% 5.16/4.69 ($false),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25813, 11386, 38, 15335, 25807])).
% 5.16/4.69 tff(25815,plain,((~trans(s199, s182)) | (~always3(s199)) | always3(s182)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.69 tff(25816,plain,
% 5.16/4.69 ((~trans(s199, s182)) | always3(s182)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25815, 15333])).
% 5.16/4.69 tff(25817,plain,
% 5.16/4.69 (~trans(s199, s182)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25816, 23212])).
% 5.16/4.69 tff(25818,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s183) | (~trans(s199, s183)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s183) | (~trans(s199, s183)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25819,plain,
% 5.16/4.69 (((~trans(s199, s183)) | (~always3(s199)) | always3(s183)) <=> ((~always3(s199)) | always3(s183) | (~trans(s199, s183)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25820,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s183)) | (~always3(s199)) | always3(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s183) | (~trans(s199, s183))))),
% 5.16/4.69 inference(monotonicity,[status(thm)],[25819])).
% 5.16/4.69 tff(25821,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s183)) | (~always3(s199)) | always3(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s183) | (~trans(s199, s183)))),
% 5.16/4.69 inference(transitivity,[status(thm)],[25820, 25818])).
% 5.16/4.69 tff(25822,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s183)) | (~always3(s199)) | always3(s183))),
% 5.16/4.69 inference(quant_inst,[status(thm)],[])).
% 5.16/4.69 tff(25823,plain,
% 5.16/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s183) | (~trans(s199, s183))),
% 5.16/4.69 inference(modus_ponens,[status(thm)],[25822, 25821])).
% 5.16/4.69 tff(25824,plain,
% 5.16/4.69 ($false),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25823, 11397, 38, 15335, 23207])).
% 5.16/4.69 tff(25825,plain,((~trans(s199, s183)) | (~always3(s199)) | always3(s183)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.69 tff(25826,plain,
% 5.16/4.69 ((~trans(s199, s183)) | always3(s183)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25825, 15333])).
% 5.16/4.69 tff(25827,plain,
% 5.16/4.69 (~trans(s199, s183)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25826, 23207])).
% 5.16/4.69 tff(25828,plain,
% 5.16/4.69 (~trans(s199, s148)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25535, 25793])).
% 5.16/4.69 tff(25829,plain,
% 5.16/4.69 (~always3(s146)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4310, 25794])).
% 5.16/4.69 tff(25830,plain,
% 5.16/4.69 (~trans(s199, s146)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25548, 25829])).
% 5.16/4.69 tff(25831,plain,
% 5.16/4.69 (~trans(s199, s162)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25559, 25779])).
% 5.16/4.69 tff(25832,plain,
% 5.16/4.69 (~trans(s199, s155)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25569, 25786])).
% 5.16/4.69 tff(25833,plain,
% 5.16/4.69 (~always3(s145)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[4322, 25829])).
% 5.16/4.69 tff(25834,plain,
% 5.16/4.69 (~trans(s199, s145)),
% 5.16/4.69 inference(unit_resolution,[status(thm)],[25580, 25833])).
% 5.16/4.69 tff(25835,assumption,(~always3(s165)), introduced(assumption)).
% 5.16/4.69 tff(25836,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s165) | (~trans(s199, s165)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s165) | (~trans(s199, s165)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25837,plain,
% 5.16/4.69 (((~trans(s199, s165)) | (~always3(s199)) | always3(s165)) <=> ((~always3(s199)) | always3(s165) | (~trans(s199, s165)))),
% 5.16/4.69 inference(rewrite,[status(thm)],[])).
% 5.16/4.69 tff(25838,plain,
% 5.16/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s165)) | (~always3(s199)) | always3(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s165) | (~trans(s199, s165))))),
% 5.16/4.70 inference(monotonicity,[status(thm)],[25837])).
% 5.16/4.70 tff(25839,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s165)) | (~always3(s199)) | always3(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s165) | (~trans(s199, s165)))),
% 5.16/4.70 inference(transitivity,[status(thm)],[25838, 25836])).
% 5.16/4.70 tff(25840,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s165)) | (~always3(s199)) | always3(s165))),
% 5.16/4.70 inference(quant_inst,[status(thm)],[])).
% 5.16/4.70 tff(25841,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s165) | (~trans(s199, s165))),
% 5.16/4.70 inference(modus_ponens,[status(thm)],[25840, 25839])).
% 5.16/4.70 tff(25842,plain,
% 5.16/4.70 ($false),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25841, 11639, 38, 15335, 25835])).
% 5.16/4.70 tff(25843,plain,((~trans(s199, s165)) | (~always3(s199)) | always3(s165)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.70 tff(25844,plain,
% 5.16/4.70 ((~trans(s199, s165)) | always3(s165)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25843, 15333])).
% 5.16/4.70 tff(25845,plain,
% 5.16/4.70 (~trans(s199, s165)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25844, 25776])).
% 5.16/4.70 tff(25846,plain,
% 5.16/4.70 (~trans(s199, s159)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25590, 25782])).
% 5.16/4.70 tff(25847,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s174) | (~trans(s199, s174)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s174) | (~trans(s199, s174)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25848,plain,
% 5.16/4.70 (((~trans(s199, s174)) | (~always3(s199)) | always3(s174)) <=> ((~always3(s199)) | always3(s174) | (~trans(s199, s174)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25849,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s174)) | (~always3(s199)) | always3(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s174) | (~trans(s199, s174))))),
% 5.16/4.70 inference(monotonicity,[status(thm)],[25848])).
% 5.16/4.70 tff(25850,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s174)) | (~always3(s199)) | always3(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s174) | (~trans(s199, s174)))),
% 5.16/4.70 inference(transitivity,[status(thm)],[25849, 25847])).
% 5.16/4.70 tff(25851,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s174)) | (~always3(s199)) | always3(s174))),
% 5.16/4.70 inference(quant_inst,[status(thm)],[])).
% 5.16/4.70 tff(25852,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s174) | (~trans(s199, s174))),
% 5.16/4.70 inference(modus_ponens,[status(thm)],[25851, 25850])).
% 5.16/4.70 tff(25853,plain,
% 5.16/4.70 ($false),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25852, 11716, 38, 15335, 3975])).
% 5.16/4.70 tff(25854,plain,((~trans(s199, s174)) | (~always3(s199)) | always3(s174)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.70 tff(25855,plain,
% 5.16/4.70 ((~trans(s199, s174)) | always3(s174)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25854, 15333])).
% 5.16/4.70 tff(25856,plain,
% 5.16/4.70 (~trans(s199, s174)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25855, 23221])).
% 5.16/4.70 tff(25857,plain,
% 5.16/4.70 (~trans(s199, s187)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[11757, 11264, 25047])).
% 5.16/4.70 tff(25858,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s181) | (~trans(s199, s181)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s181) | (~trans(s199, s181)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25859,plain,
% 5.16/4.70 (((~trans(s199, s181)) | (~always3(s199)) | always3(s181)) <=> ((~always3(s199)) | always3(s181) | (~trans(s199, s181)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25860,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s181)) | (~always3(s199)) | always3(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s181) | (~trans(s199, s181))))),
% 5.16/4.70 inference(monotonicity,[status(thm)],[25859])).
% 5.16/4.70 tff(25861,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s181)) | (~always3(s199)) | always3(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s181) | (~trans(s199, s181)))),
% 5.16/4.70 inference(transitivity,[status(thm)],[25860, 25858])).
% 5.16/4.70 tff(25862,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s181)) | (~always3(s199)) | always3(s181))),
% 5.16/4.70 inference(quant_inst,[status(thm)],[])).
% 5.16/4.70 tff(25863,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s181) | (~trans(s199, s181))),
% 5.16/4.70 inference(modus_ponens,[status(thm)],[25862, 25861])).
% 5.16/4.70 tff(25864,plain,
% 5.16/4.70 ($false),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25863, 11760, 38, 15335, 23025])).
% 5.16/4.70 tff(25865,plain,((~trans(s199, s181)) | (~always3(s199)) | always3(s181)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.70 tff(25866,plain,
% 5.16/4.70 ((~trans(s199, s181)) | always3(s181)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25865, 15333])).
% 5.16/4.70 tff(25867,plain,
% 5.16/4.70 (~trans(s199, s181)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25866, 23213])).
% 5.16/4.70 tff(25868,plain,
% 5.16/4.70 (~trans(s199, s156)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25600, 25785])).
% 5.16/4.70 tff(25869,assumption,(~always3(s177)), introduced(assumption)).
% 5.16/4.70 tff(25870,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s177) | (~trans(s199, s177)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s177) | (~trans(s199, s177)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25871,plain,
% 5.16/4.70 (((~trans(s199, s177)) | (~always3(s199)) | always3(s177)) <=> ((~always3(s199)) | always3(s177) | (~trans(s199, s177)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25872,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s177)) | (~always3(s199)) | always3(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s177) | (~trans(s199, s177))))),
% 5.16/4.70 inference(monotonicity,[status(thm)],[25871])).
% 5.16/4.70 tff(25873,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s177)) | (~always3(s199)) | always3(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s177) | (~trans(s199, s177)))),
% 5.16/4.70 inference(transitivity,[status(thm)],[25872, 25870])).
% 5.16/4.70 tff(25874,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s177)) | (~always3(s199)) | always3(s177))),
% 5.16/4.70 inference(quant_inst,[status(thm)],[])).
% 5.16/4.70 tff(25875,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s177) | (~trans(s199, s177))),
% 5.16/4.70 inference(modus_ponens,[status(thm)],[25874, 25873])).
% 5.16/4.70 tff(25876,plain,
% 5.16/4.70 ($false),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25875, 11782, 38, 15335, 25869])).
% 5.16/4.70 tff(25877,plain,((~trans(s199, s177)) | (~always3(s199)) | always3(s177)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.70 tff(25878,plain,
% 5.16/4.70 ((~trans(s199, s177)) | always3(s177)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25877, 15333])).
% 5.16/4.70 tff(25879,plain,
% 5.16/4.70 (~trans(s199, s177)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25878, 23218])).
% 5.16/4.70 tff(25880,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s179) | (~trans(s199, s179)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s179) | (~trans(s199, s179)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25881,plain,
% 5.16/4.70 (((~trans(s199, s179)) | (~always3(s199)) | always3(s179)) <=> ((~always3(s199)) | always3(s179) | (~trans(s199, s179)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25882,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s179)) | (~always3(s199)) | always3(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s179) | (~trans(s199, s179))))),
% 5.16/4.70 inference(monotonicity,[status(thm)],[25881])).
% 5.16/4.70 tff(25883,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s179)) | (~always3(s199)) | always3(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s179) | (~trans(s199, s179)))),
% 5.16/4.70 inference(transitivity,[status(thm)],[25882, 25880])).
% 5.16/4.70 tff(25884,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s179)) | (~always3(s199)) | always3(s179))),
% 5.16/4.70 inference(quant_inst,[status(thm)],[])).
% 5.16/4.70 tff(25885,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s179) | (~trans(s199, s179))),
% 5.16/4.70 inference(modus_ponens,[status(thm)],[25884, 25883])).
% 5.16/4.70 tff(25886,plain,
% 5.16/4.70 ($false),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25885, 11793, 38, 15335, 23180])).
% 5.16/4.70 tff(25887,plain,((~trans(s199, s179)) | (~always3(s199)) | always3(s179)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.70 tff(25888,plain,
% 5.16/4.70 ((~trans(s199, s179)) | always3(s179)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25887, 15333])).
% 5.16/4.70 tff(25889,plain,
% 5.16/4.70 (~trans(s199, s179)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25888, 23216])).
% 5.16/4.70 tff(25890,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s180) | (~trans(s199, s180)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s180) | (~trans(s199, s180)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25891,plain,
% 5.16/4.70 (((~trans(s199, s180)) | (~always3(s199)) | always3(s180)) <=> ((~always3(s199)) | always3(s180) | (~trans(s199, s180)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25892,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s180)) | (~always3(s199)) | always3(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s180) | (~trans(s199, s180))))),
% 5.16/4.70 inference(monotonicity,[status(thm)],[25891])).
% 5.16/4.70 tff(25893,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s180)) | (~always3(s199)) | always3(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s180) | (~trans(s199, s180)))),
% 5.16/4.70 inference(transitivity,[status(thm)],[25892, 25890])).
% 5.16/4.70 tff(25894,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s180)) | (~always3(s199)) | always3(s180))),
% 5.16/4.70 inference(quant_inst,[status(thm)],[])).
% 5.16/4.70 tff(25895,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s180) | (~trans(s199, s180))),
% 5.16/4.70 inference(modus_ponens,[status(thm)],[25894, 25893])).
% 5.16/4.70 tff(25896,plain,
% 5.16/4.70 ($false),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25895, 11804, 38, 15335, 8005])).
% 5.16/4.70 tff(25897,plain,((~trans(s199, s180)) | (~always3(s199)) | always3(s180)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.70 tff(25898,plain,
% 5.16/4.70 ((~trans(s199, s180)) | always3(s180)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25897, 15333])).
% 5.16/4.70 tff(25899,plain,
% 5.16/4.70 (~trans(s199, s180)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25898, 23215])).
% 5.16/4.70 tff(25900,plain,
% 5.16/4.70 (~trans(s199, s191)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[11856, 11264, 25039])).
% 5.16/4.70 tff(25901,plain,
% 5.16/4.70 (~trans(s199, s157)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25610, 25784])).
% 5.16/4.70 tff(25902,plain,
% 5.16/4.70 (~trans(s199, s150)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25620, 25791])).
% 5.16/4.70 tff(25903,plain,
% 5.16/4.70 (~trans(s199, s153)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25631, 25788])).
% 5.16/4.70 tff(25904,plain,
% 5.16/4.70 (~trans(s199, s161)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25641, 25780])).
% 5.16/4.70 tff(25905,assumption,(~always3(s164)), introduced(assumption)).
% 5.16/4.70 tff(25906,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s164) | (~trans(s199, s164)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s164) | (~trans(s199, s164)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25907,plain,
% 5.16/4.70 (((~trans(s199, s164)) | (~always3(s199)) | always3(s164)) <=> ((~always3(s199)) | always3(s164) | (~trans(s199, s164)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25908,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s164)) | (~always3(s199)) | always3(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s164) | (~trans(s199, s164))))),
% 5.16/4.70 inference(monotonicity,[status(thm)],[25907])).
% 5.16/4.70 tff(25909,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s164)) | (~always3(s199)) | always3(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s164) | (~trans(s199, s164)))),
% 5.16/4.70 inference(transitivity,[status(thm)],[25908, 25906])).
% 5.16/4.70 tff(25910,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s164)) | (~always3(s199)) | always3(s164))),
% 5.16/4.70 inference(quant_inst,[status(thm)],[])).
% 5.16/4.70 tff(25911,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s164) | (~trans(s199, s164))),
% 5.16/4.70 inference(modus_ponens,[status(thm)],[25910, 25909])).
% 5.16/4.70 tff(25912,plain,
% 5.16/4.70 ($false),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25911, 11958, 38, 15335, 25905])).
% 5.16/4.70 tff(25913,plain,((~trans(s199, s164)) | (~always3(s199)) | always3(s164)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.70 tff(25914,plain,
% 5.16/4.70 ((~trans(s199, s164)) | always3(s164)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25913, 15333])).
% 5.16/4.70 tff(25915,plain,
% 5.16/4.70 (~trans(s199, s164)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25914, 25777])).
% 5.16/4.70 tff(25916,plain,
% 5.16/4.70 (~trans(s199, s166)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25764, 25775])).
% 5.16/4.70 tff(25917,plain,
% 5.16/4.70 (~trans(s199, s158)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25651, 25783])).
% 5.16/4.70 tff(25918,plain,
% 5.16/4.70 (~trans(s199, s149)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25661, 25792])).
% 5.16/4.70 tff(25919,plain,
% 5.16/4.70 (~trans(s199, s152)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25714, 25789])).
% 5.16/4.70 tff(25920,plain,
% 5.16/4.70 (~trans(s199, s186)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[12472, 11264, 25049])).
% 5.16/4.70 tff(25921,assumption,(~always3(s170)), introduced(assumption)).
% 5.16/4.70 tff(25922,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s170) | (~trans(s199, s170)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s170) | (~trans(s199, s170)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25923,plain,
% 5.16/4.70 (((~trans(s199, s170)) | (~always3(s199)) | always3(s170)) <=> ((~always3(s199)) | always3(s170) | (~trans(s199, s170)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25924,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s170)) | (~always3(s199)) | always3(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s170) | (~trans(s199, s170))))),
% 5.16/4.70 inference(monotonicity,[status(thm)],[25923])).
% 5.16/4.70 tff(25925,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s170)) | (~always3(s199)) | always3(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s170) | (~trans(s199, s170)))),
% 5.16/4.70 inference(transitivity,[status(thm)],[25924, 25922])).
% 5.16/4.70 tff(25926,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s170)) | (~always3(s199)) | always3(s170))),
% 5.16/4.70 inference(quant_inst,[status(thm)],[])).
% 5.16/4.70 tff(25927,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s170) | (~trans(s199, s170))),
% 5.16/4.70 inference(modus_ponens,[status(thm)],[25926, 25925])).
% 5.16/4.70 tff(25928,plain,
% 5.16/4.70 ($false),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25927, 12486, 38, 15335, 25921])).
% 5.16/4.70 tff(25929,plain,((~trans(s199, s170)) | (~always3(s199)) | always3(s170)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.70 tff(25930,plain,
% 5.16/4.70 ((~trans(s199, s170)) | always3(s170)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25929, 15333])).
% 5.16/4.70 tff(25931,plain,
% 5.16/4.70 (~trans(s199, s170)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25930, 25771])).
% 5.16/4.70 tff(25932,plain,
% 5.16/4.70 (~trans(s199, s160)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25672, 25781])).
% 5.16/4.70 tff(25933,plain,
% 5.16/4.70 (~trans(s199, s151)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25682, 25790])).
% 5.16/4.70 tff(25934,assumption,(~always3(s172)), introduced(assumption)).
% 5.16/4.70 tff(25935,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s172) | (~trans(s199, s172)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s172) | (~trans(s199, s172)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25936,plain,
% 5.16/4.70 (((~trans(s199, s172)) | (~always3(s199)) | always3(s172)) <=> ((~always3(s199)) | always3(s172) | (~trans(s199, s172)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25937,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s172)) | (~always3(s199)) | always3(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s172) | (~trans(s199, s172))))),
% 5.16/4.70 inference(monotonicity,[status(thm)],[25936])).
% 5.16/4.70 tff(25938,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s172)) | (~always3(s199)) | always3(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s172) | (~trans(s199, s172)))),
% 5.16/4.70 inference(transitivity,[status(thm)],[25937, 25935])).
% 5.16/4.70 tff(25939,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s172)) | (~always3(s199)) | always3(s172))),
% 5.16/4.70 inference(quant_inst,[status(thm)],[])).
% 5.16/4.70 tff(25940,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s172) | (~trans(s199, s172))),
% 5.16/4.70 inference(modus_ponens,[status(thm)],[25939, 25938])).
% 5.16/4.70 tff(25941,plain,
% 5.16/4.70 ($false),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25940, 12717, 38, 15335, 25934])).
% 5.16/4.70 tff(25942,plain,((~trans(s199, s172)) | (~always3(s199)) | always3(s172)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.70 tff(25943,plain,
% 5.16/4.70 ((~trans(s199, s172)) | always3(s172)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25942, 15333])).
% 5.16/4.70 tff(25944,plain,
% 5.16/4.70 (~trans(s199, s172)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25943, 25769])).
% 5.16/4.70 tff(25945,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s173) | (~trans(s199, s173)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s173) | (~trans(s199, s173)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25946,plain,
% 5.16/4.70 (((~trans(s199, s173)) | (~always3(s199)) | always3(s173)) <=> ((~always3(s199)) | always3(s173) | (~trans(s199, s173)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25947,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s173)) | (~always3(s199)) | always3(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s173) | (~trans(s199, s173))))),
% 5.16/4.70 inference(monotonicity,[status(thm)],[25946])).
% 5.16/4.70 tff(25948,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s173)) | (~always3(s199)) | always3(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s173) | (~trans(s199, s173)))),
% 5.16/4.70 inference(transitivity,[status(thm)],[25947, 25945])).
% 5.16/4.70 tff(25949,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s173)) | (~always3(s199)) | always3(s173))),
% 5.16/4.70 inference(quant_inst,[status(thm)],[])).
% 5.16/4.70 tff(25950,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s173) | (~trans(s199, s173))),
% 5.16/4.70 inference(modus_ponens,[status(thm)],[25949, 25948])).
% 5.16/4.70 tff(25951,plain,
% 5.16/4.70 ($false),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25950, 12772, 38, 15335, 4358])).
% 5.16/4.70 tff(25952,plain,((~trans(s199, s173)) | (~always3(s199)) | always3(s173)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.70 tff(25953,plain,
% 5.16/4.70 ((~trans(s199, s173)) | always3(s173)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25952, 15333])).
% 5.16/4.70 tff(25954,plain,
% 5.16/4.70 (~trans(s199, s173)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25953, 25768])).
% 5.16/4.70 tff(25955,plain,
% 5.16/4.70 (~trans(s199, s163)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25692, 25778])).
% 5.16/4.70 tff(25956,plain,
% 5.16/4.70 (~trans(s199, s154)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25703, 25787])).
% 5.16/4.70 tff(25957,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s169) | (~trans(s199, s169)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s169) | (~trans(s199, s169)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25958,plain,
% 5.16/4.70 (((~trans(s199, s169)) | (~always3(s199)) | always3(s169)) <=> ((~always3(s199)) | always3(s169) | (~trans(s199, s169)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25959,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s169)) | (~always3(s199)) | always3(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s169) | (~trans(s199, s169))))),
% 5.16/4.70 inference(monotonicity,[status(thm)],[25958])).
% 5.16/4.70 tff(25960,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s169)) | (~always3(s199)) | always3(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s169) | (~trans(s199, s169)))),
% 5.16/4.70 inference(transitivity,[status(thm)],[25959, 25957])).
% 5.16/4.70 tff(25961,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s169)) | (~always3(s199)) | always3(s169))),
% 5.16/4.70 inference(quant_inst,[status(thm)],[])).
% 5.16/4.70 tff(25962,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s169) | (~trans(s199, s169))),
% 5.16/4.70 inference(modus_ponens,[status(thm)],[25961, 25960])).
% 5.16/4.70 tff(25963,plain,
% 5.16/4.70 ($false),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25962, 12838, 38, 15335, 22449])).
% 5.16/4.70 tff(25964,plain,((~trans(s199, s169)) | (~always3(s199)) | always3(s169)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.70 tff(25965,plain,
% 5.16/4.70 ((~trans(s199, s169)) | always3(s169)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25964, 15333])).
% 5.16/4.70 tff(25966,plain,
% 5.16/4.70 (~trans(s199, s169)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25965, 25772])).
% 5.16/4.70 tff(25967,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s176) | (~trans(s199, s176)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s176) | (~trans(s199, s176)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25968,plain,
% 5.16/4.70 (((~trans(s199, s176)) | (~always3(s199)) | always3(s176)) <=> ((~always3(s199)) | always3(s176) | (~trans(s199, s176)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25969,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s176)) | (~always3(s199)) | always3(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s176) | (~trans(s199, s176))))),
% 5.16/4.70 inference(monotonicity,[status(thm)],[25968])).
% 5.16/4.70 tff(25970,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s176)) | (~always3(s199)) | always3(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s176) | (~trans(s199, s176)))),
% 5.16/4.70 inference(transitivity,[status(thm)],[25969, 25967])).
% 5.16/4.70 tff(25971,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s176)) | (~always3(s199)) | always3(s176))),
% 5.16/4.70 inference(quant_inst,[status(thm)],[])).
% 5.16/4.70 tff(25972,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s176) | (~trans(s199, s176))),
% 5.16/4.70 inference(modus_ponens,[status(thm)],[25971, 25970])).
% 5.16/4.70 tff(25973,plain,
% 5.16/4.70 ($false),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25972, 12915, 38, 15335, 23096])).
% 5.16/4.70 tff(25974,plain,((~trans(s199, s176)) | (~always3(s199)) | always3(s176)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.70 tff(25975,plain,
% 5.16/4.70 ((~trans(s199, s176)) | always3(s176)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25974, 15333])).
% 5.16/4.70 tff(25976,plain,
% 5.16/4.70 (~trans(s199, s176)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25975, 23219])).
% 5.16/4.70 tff(25977,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s167) | (~trans(s199, s167)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s167) | (~trans(s199, s167)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25978,plain,
% 5.16/4.70 (((~trans(s199, s167)) | (~always3(s199)) | always3(s167)) <=> ((~always3(s199)) | always3(s167) | (~trans(s199, s167)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25979,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s167)) | (~always3(s199)) | always3(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s167) | (~trans(s199, s167))))),
% 5.16/4.70 inference(monotonicity,[status(thm)],[25978])).
% 5.16/4.70 tff(25980,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s167)) | (~always3(s199)) | always3(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s167) | (~trans(s199, s167)))),
% 5.16/4.70 inference(transitivity,[status(thm)],[25979, 25977])).
% 5.16/4.70 tff(25981,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s167)) | (~always3(s199)) | always3(s167))),
% 5.16/4.70 inference(quant_inst,[status(thm)],[])).
% 5.16/4.70 tff(25982,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s167) | (~trans(s199, s167))),
% 5.16/4.70 inference(modus_ponens,[status(thm)],[25981, 25980])).
% 5.16/4.70 tff(25983,plain,
% 5.16/4.70 ($false),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25982, 12959, 38, 15335, 22401])).
% 5.16/4.70 tff(25984,plain,((~trans(s199, s167)) | (~always3(s199)) | always3(s167)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.70 tff(25985,plain,
% 5.16/4.70 ((~trans(s199, s167)) | always3(s167)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25984, 15333])).
% 5.16/4.70 tff(25986,plain,
% 5.16/4.70 (~trans(s199, s167)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25985, 25774])).
% 5.16/4.70 tff(25987,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s171) | (~trans(s199, s171)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s171) | (~trans(s199, s171)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25988,plain,
% 5.16/4.70 (((~trans(s199, s171)) | (~always3(s199)) | always3(s171)) <=> ((~always3(s199)) | always3(s171) | (~trans(s199, s171)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25989,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s171)) | (~always3(s199)) | always3(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s171) | (~trans(s199, s171))))),
% 5.16/4.70 inference(monotonicity,[status(thm)],[25988])).
% 5.16/4.70 tff(25990,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s171)) | (~always3(s199)) | always3(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s171) | (~trans(s199, s171)))),
% 5.16/4.70 inference(transitivity,[status(thm)],[25989, 25987])).
% 5.16/4.70 tff(25991,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s171)) | (~always3(s199)) | always3(s171))),
% 5.16/4.70 inference(quant_inst,[status(thm)],[])).
% 5.16/4.70 tff(25992,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s171) | (~trans(s199, s171))),
% 5.16/4.70 inference(modus_ponens,[status(thm)],[25991, 25990])).
% 5.16/4.70 tff(25993,plain,
% 5.16/4.70 ($false),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25992, 13333, 38, 15335, 22856])).
% 5.16/4.70 tff(25994,plain,((~trans(s199, s171)) | (~always3(s199)) | always3(s171)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.70 tff(25995,plain,
% 5.16/4.70 ((~trans(s199, s171)) | always3(s171)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25994, 15333])).
% 5.16/4.70 tff(25996,plain,
% 5.16/4.70 (~trans(s199, s171)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[25995, 25770])).
% 5.16/4.70 tff(25997,assumption,(~always3(s175)), introduced(assumption)).
% 5.16/4.70 tff(25998,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s175) | (~trans(s199, s175)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s175) | (~trans(s199, s175)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(25999,plain,
% 5.16/4.70 (((~trans(s199, s175)) | (~always3(s199)) | always3(s175)) <=> ((~always3(s199)) | always3(s175) | (~trans(s199, s175)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(26000,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s175)) | (~always3(s199)) | always3(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s175) | (~trans(s199, s175))))),
% 5.16/4.70 inference(monotonicity,[status(thm)],[25999])).
% 5.16/4.70 tff(26001,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s175)) | (~always3(s199)) | always3(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s175) | (~trans(s199, s175)))),
% 5.16/4.70 inference(transitivity,[status(thm)],[26000, 25998])).
% 5.16/4.70 tff(26002,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s175)) | (~always3(s199)) | always3(s175))),
% 5.16/4.70 inference(quant_inst,[status(thm)],[])).
% 5.16/4.70 tff(26003,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s175) | (~trans(s199, s175))),
% 5.16/4.70 inference(modus_ponens,[status(thm)],[26002, 26001])).
% 5.16/4.70 tff(26004,plain,
% 5.16/4.70 ($false),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[26003, 13344, 38, 15335, 25997])).
% 5.16/4.70 tff(26005,plain,((~trans(s199, s175)) | (~always3(s199)) | always3(s175)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.70 tff(26006,plain,
% 5.16/4.70 ((~trans(s199, s175)) | always3(s175)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[26005, 15333])).
% 5.16/4.70 tff(26007,plain,
% 5.16/4.70 (~trans(s199, s175)),
% 5.16/4.70 inference(unit_resolution,[status(thm)],[26006, 23220])).
% 5.16/4.70 tff(26008,assumption,(~always3(s178)), introduced(assumption)).
% 5.16/4.70 tff(26009,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s178) | (~trans(s199, s178)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s178) | (~trans(s199, s178)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(26010,plain,
% 5.16/4.70 (((~trans(s199, s178)) | (~always3(s199)) | always3(s178)) <=> ((~always3(s199)) | always3(s178) | (~trans(s199, s178)))),
% 5.16/4.70 inference(rewrite,[status(thm)],[])).
% 5.16/4.70 tff(26011,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s178)) | (~always3(s199)) | always3(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s178) | (~trans(s199, s178))))),
% 5.16/4.70 inference(monotonicity,[status(thm)],[26010])).
% 5.16/4.70 tff(26012,plain,
% 5.16/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s178)) | (~always3(s199)) | always3(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s178) | (~trans(s199, s178)))),
% 5.16/4.70 inference(transitivity,[status(thm)],[26011, 26009])).
% 5.16/4.70 tff(26013,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s178)) | (~always3(s199)) | always3(s178))),
% 5.16/4.70 inference(quant_inst,[status(thm)],[])).
% 5.16/4.70 tff(26014,plain,
% 5.16/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s178) | (~trans(s199, s178))),
% 5.16/4.70 inference(modus_ponens,[status(thm)],[26013, 26012])).
% 5.16/4.70 tff(26015,plain,
% 5.16/4.71 ($false),
% 5.16/4.71 inference(unit_resolution,[status(thm)],[26014, 11353, 38, 15335, 26008])).
% 5.16/4.71 tff(26016,plain,((~trans(s199, s178)) | (~always3(s199)) | always3(s178)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.71 tff(26017,plain,
% 5.16/4.71 ((~trans(s199, s178)) | always3(s178)),
% 5.16/4.71 inference(unit_resolution,[status(thm)],[26016, 15333])).
% 5.16/4.71 tff(26018,plain,
% 5.16/4.71 (~trans(s199, s178)),
% 5.16/4.71 inference(unit_resolution,[status(thm)],[26017, 23217])).
% 5.16/4.71 tff(26019,plain,
% 5.16/4.71 (~always3(s144)),
% 5.16/4.71 inference(unit_resolution,[status(thm)],[4334, 25833])).
% 5.16/4.71 tff(26020,plain,
% 5.16/4.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s144) | (~trans(s199, s144)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s144) | (~trans(s199, s144)))),
% 5.16/4.71 inference(rewrite,[status(thm)],[])).
% 5.16/4.71 tff(26021,plain,
% 5.16/4.71 (((~trans(s199, s144)) | (~always3(s199)) | always3(s144)) <=> ((~always3(s199)) | always3(s144) | (~trans(s199, s144)))),
% 5.16/4.71 inference(rewrite,[status(thm)],[])).
% 5.16/4.71 tff(26022,plain,
% 5.16/4.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s144)) | (~always3(s199)) | always3(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s144) | (~trans(s199, s144))))),
% 5.16/4.71 inference(monotonicity,[status(thm)],[26021])).
% 5.16/4.71 tff(26023,plain,
% 5.16/4.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s144)) | (~always3(s199)) | always3(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s144) | (~trans(s199, s144)))),
% 5.16/4.71 inference(transitivity,[status(thm)],[26022, 26020])).
% 5.16/4.71 tff(26024,plain,
% 5.16/4.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s144)) | (~always3(s199)) | always3(s144))),
% 5.16/4.71 inference(quant_inst,[status(thm)],[])).
% 5.16/4.71 tff(26025,plain,
% 5.16/4.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s144) | (~trans(s199, s144))),
% 5.16/4.71 inference(modus_ponens,[status(thm)],[26024, 26023])).
% 5.16/4.71 tff(26026,plain,
% 5.16/4.71 ($false),
% 5.16/4.71 inference(unit_resolution,[status(thm)],[26025, 12233, 38, 15335, 4944])).
% 5.16/4.71 tff(26027,plain,((~trans(s199, s144)) | (~always3(s199)) | always3(s144)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.71 tff(26028,plain,
% 5.16/4.71 ((~trans(s199, s144)) | always3(s144)),
% 5.16/4.71 inference(unit_resolution,[status(thm)],[26027, 15333])).
% 5.16/4.71 tff(26029,plain,
% 5.16/4.71 (~trans(s199, s144)),
% 5.16/4.71 inference(unit_resolution,[status(thm)],[26028, 26019])).
% 5.16/4.71 tff(26030,plain,
% 5.16/4.71 (~always3(s143)),
% 5.16/4.71 inference(unit_resolution,[status(thm)],[4968, 26019])).
% 5.16/4.71 tff(26031,assumption,(~always3(s143)), introduced(assumption)).
% 5.16/4.71 tff(26032,plain,
% 5.16/4.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s143) | (~trans(s199, s143)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s143) | (~trans(s199, s143)))),
% 5.16/4.71 inference(rewrite,[status(thm)],[])).
% 5.16/4.71 tff(26033,plain,
% 5.16/4.71 (((~trans(s199, s143)) | (~always3(s199)) | always3(s143)) <=> ((~always3(s199)) | always3(s143) | (~trans(s199, s143)))),
% 5.16/4.71 inference(rewrite,[status(thm)],[])).
% 5.16/4.71 tff(26034,plain,
% 5.16/4.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s143)) | (~always3(s199)) | always3(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s143) | (~trans(s199, s143))))),
% 5.16/4.71 inference(monotonicity,[status(thm)],[26033])).
% 5.16/4.71 tff(26035,plain,
% 5.16/4.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s143)) | (~always3(s199)) | always3(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s143) | (~trans(s199, s143)))),
% 5.16/4.71 inference(transitivity,[status(thm)],[26034, 26032])).
% 5.16/4.71 tff(26036,plain,
% 5.16/4.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s143)) | (~always3(s199)) | always3(s143))),
% 5.16/4.71 inference(quant_inst,[status(thm)],[])).
% 5.16/4.71 tff(26037,plain,
% 5.16/4.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s143) | (~trans(s199, s143))),
% 5.16/4.71 inference(modus_ponens,[status(thm)],[26036, 26035])).
% 5.16/4.71 tff(26038,plain,
% 5.16/4.71 ($false),
% 5.16/4.71 inference(unit_resolution,[status(thm)],[26037, 11617, 38, 15335, 26031])).
% 5.16/4.71 tff(26039,plain,((~trans(s199, s143)) | (~always3(s199)) | always3(s143)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.71 tff(26040,plain,
% 5.16/4.71 ((~trans(s199, s143)) | always3(s143)),
% 5.16/4.71 inference(unit_resolution,[status(thm)],[26039, 15333])).
% 5.16/4.71 tff(26041,plain,
% 5.16/4.71 (~trans(s199, s143)),
% 5.16/4.71 inference(unit_resolution,[status(thm)],[26040, 26030])).
% 5.16/4.71 tff(26042,plain,
% 5.16/4.71 (~trans(s199, s199)),
% 5.16/4.71 inference(unit_resolution,[status(thm)],[12483, 12474, 11264])).
% 5.16/4.71 tff(26043,plain,
% 5.16/4.71 (~trans(s199, s198)),
% 5.16/4.71 inference(unit_resolution,[status(thm)],[11911, 25025, 11264])).
% 5.16/4.71 tff(26044,plain,
% 5.16/4.71 (until2p7(s197) | (~xuntil6(s199)) | trans(s199, s175) | trans(s199, s63) | trans(s199, s61) | trans(s199, s171) | trans(s199, s36) | trans(s199, s154) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s152) | trans(s199, s78) | trans(s199, s168) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s166) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s167) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s176) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s169) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s145) | trans(s199, s163) | trans(s199, s173) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s172) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s170) | trans(s199, s199) | trans(s199, s186) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s149) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s144) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s188) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s164) | trans(s199, s161) | trans(s199, s153) | trans(s199, s19) | trans(s199, s94) | trans(s199, s198) | trans(s199, s68) | trans(s199, s150) | trans(s199, s35) | trans(s199, s157) | trans(s199, s191) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s180) | trans(s199, s179) | trans(s199, s177) | trans(s199, s156) | trans(s199, s181) | trans(s199, s187) | trans(s199, s84) | trans(s199, s142) | trans(s199, s174) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s165) | trans(s199, s37) | trans(s199, s143) | trans(s199, s79) | trans(s199, s155) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s162) | trans(s199, s120) | trans(s199, s138) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s183) | trans(s199, s182) | trans(s199, s190) | trans(s199, s192) | trans(s199, s93) | trans(s199, s178) | trans(s199, s16) | trans(s199, s15) | trans(s199, s147) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | node4(s185) | node4(s187) | node4(s195)),
% 5.16/4.71 inference(unit_resolution,[status(thm)],[15320, 16032, 16000])).
% 5.16/4.71 tff(26045,plain,
% 5.16/4.71 ($false),
% 5.16/4.71 inference(unit_resolution,[status(thm)],[26044, 25027, 26043, 15955, 13665, 13666, 13663, 13662, 13661, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13642, 13641, 13640, 13639, 13638, 13637, 13636, 13635, 13634, 13633, 13632, 13631, 13630, 13629, 13628, 13627, 13626, 13625, 13624, 13623, 13622, 13621, 13620, 13619, 13618, 13617, 13616, 13615, 13614, 13613, 13612, 13611, 13610, 13609, 13608, 13607, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13596, 13595, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 13586, 11264, 13584, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13568, 13567, 13566, 13565, 13564, 13563, 13562, 13561, 13560, 13559, 13402, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13538, 13537, 13536, 13535, 13534, 26042, 13532, 13531, 13530, 13529, 13528, 13527, 13526, 13525, 13524, 13523, 13522, 13521, 13520, 13519, 13518, 13517, 13516, 13515, 13514, 13513, 13512, 13511, 13510, 13509, 13508, 13507, 13506, 13505, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13496, 13495, 13494, 13493, 13492, 13491, 13490, 13489, 13488, 13487, 13486, 13485, 13484, 13440, 13439, 13438, 13437, 13436, 13435, 13434, 13433, 13378, 13664, 13558, 13408])).
% 5.16/4.71 tff(26046,plain,(until2p7(s199) | trans(s199, s63) | trans(s199, s175) | trans(s199, s171) | trans(s199, s36) | trans(s199, s154) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s152) | trans(s199, s78) | trans(s199, s168) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s166) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s167) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s176) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s169) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s145) | trans(s199, s163) | trans(s199, s173) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s172) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s170) | (~xuntil6(s199)) | trans(s199, s186) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s149) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s144) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | node4(s187) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s164) | trans(s199, s161) | trans(s199, s153) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s150) | trans(s199, s35) | trans(s199, s157) | trans(s199, s191) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s180) | trans(s199, s179) | trans(s199, s177) | trans(s199, s156) | trans(s199, s181) | trans(s199, s187) | trans(s199, s84) | trans(s199, s142) | trans(s199, s174) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s165) | trans(s199, s37) | trans(s199, s143) | trans(s199, s79) | trans(s199, s155) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s162) | trans(s199, s120) | trans(s199, s138) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s183) | trans(s199, s182) | trans(s199, s190) | trans(s199, s192) | trans(s199, s93) | trans(s199, s178) | trans(s199, s16) | trans(s199, s15) | trans(s199, s147) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | trans(s199, s188) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.71 tff(26047,plain,
% 5.16/4.71 (until2p7(s199) | trans(s199, s63) | trans(s199, s175) | trans(s199, s171) | trans(s199, s36) | trans(s199, s154) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s152) | trans(s199, s78) | trans(s199, s168) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s166) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s167) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s176) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s169) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s145) | trans(s199, s163) | trans(s199, s173) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s172) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s170) | (~xuntil6(s199)) | trans(s199, s186) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s149) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s144) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s164) | trans(s199, s161) | trans(s199, s153) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s150) | trans(s199, s35) | trans(s199, s157) | trans(s199, s191) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s180) | trans(s199, s179) | trans(s199, s177) | trans(s199, s156) | trans(s199, s181) | trans(s199, s187) | trans(s199, s84) | trans(s199, s142) | trans(s199, s174) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s165) | trans(s199, s37) | trans(s199, s143) | trans(s199, s79) | trans(s199, s155) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s162) | trans(s199, s120) | trans(s199, s138) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s183) | trans(s199, s182) | trans(s199, s190) | trans(s199, s192) | trans(s199, s93) | trans(s199, s178) | trans(s199, s16) | trans(s199, s15) | trans(s199, s147) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | trans(s199, s188) | node4(s185)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[26046, 16077])).
% 5.16/4.72 tff(26048,plain,
% 5.16/4.72 ($false),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[26047, 26041, 26029, 13665, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 26018, 13641, 26007, 13639, 13638, 13637, 13636, 13635, 25996, 13633, 13632, 13631, 13630, 25986, 13628, 13627, 13626, 25976, 13624, 13623, 13622, 13621, 13620, 13619, 25966, 13617, 13616, 13615, 25956, 25955, 25954, 13611, 13610, 13609, 13608, 25944, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 25933, 25932, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 25931, 11264, 25920, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 25919, 13567, 13566, 13565, 13564, 25918, 13562, 13561, 25917, 13559, 25916, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 25915, 25904, 25903, 13535, 13534, 13532, 25902, 13530, 25901, 25900, 13527, 13526, 13525, 25899, 25889, 25879, 25868, 25867, 25857, 13518, 13517, 25856, 13515, 13514, 13513, 13512, 25846, 13510, 25845, 13508, 25834, 13506, 25832, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 25831, 13496, 13495, 25830, 13493, 25828, 13491, 13490, 13489, 13488, 25827, 25817, 25767, 25766, 13440, 25806, 13438, 13437, 25795, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.16/4.72 tff(26049,plain,(always3(s183) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | (~xuntil6(s199)) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s128) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s120) | trans(s199, s138) | trans(s199, s38) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.72 tff(26050,plain,
% 5.16/4.72 (always3(s183)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[26049, 13660, 13662, 12474, 13665, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13517, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 13495, 13493, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.16/4.72 tff(26051,plain,
% 5.16/4.72 (always3(s184)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[3857, 26050])).
% 5.16/4.72 tff(26052,plain,
% 5.16/4.72 (~m_main_v_state(s184, c_busy)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[8570, 145, 26051])).
% 5.16/4.72 tff(26053,plain,
% 5.16/4.72 (~m_main_v_state(s183, c_busy)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[8143, 145, 26050])).
% 5.16/4.72 tff(26054,plain,
% 5.16/4.72 (m_main_v_state(s183, c_ready)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[23253, 188, 26053])).
% 5.16/4.72 tff(26055,plain,
% 5.16/4.72 (~m_main_v_request(s183)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[23248, 26054, 26052])).
% 5.16/4.72 tff(26056,plain,
% 5.16/4.72 (~node4(s183)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[23239, 63, 26055])).
% 5.16/4.72 tff(26057,plain,
% 5.16/4.72 (node4(s183) | (~until2p7(s183))),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[8589, 8293, 25054])).
% 5.16/4.72 tff(26058,plain,
% 5.16/4.72 (~until2p7(s183)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[26057, 26056])).
% 5.16/4.72 tff(26059,plain,
% 5.16/4.72 (~xuntil2p8(s182)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[8595, 26058])).
% 5.16/4.72 tff(26060,plain,
% 5.16/4.72 (~until2p7(s182)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[8600, 26059])).
% 5.16/4.72 tff(26061,plain,
% 5.16/4.72 (~trans(s199, s182)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[11394, 26060, 11264])).
% 5.16/4.72 tff(26062,plain,
% 5.16/4.72 (~trans(s199, s183)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[11405, 26058, 11264])).
% 5.16/4.72 tff(26063,plain,
% 5.16/4.72 (~trans(s199, s148)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25535, 25742])).
% 5.16/4.72 tff(26064,plain,
% 5.16/4.72 (~always3(s146)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4310, 25743])).
% 5.16/4.72 tff(26065,plain,
% 5.16/4.72 (~trans(s199, s146)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25548, 26064])).
% 5.16/4.72 tff(26066,plain,
% 5.16/4.72 (~trans(s199, s162)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25559, 25728])).
% 5.16/4.72 tff(26067,plain,
% 5.16/4.72 (~trans(s199, s155)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25569, 25735])).
% 5.16/4.72 tff(26068,plain,
% 5.16/4.72 (~always3(s145)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4322, 26064])).
% 5.16/4.72 tff(26069,plain,
% 5.16/4.72 (~trans(s199, s145)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25580, 26068])).
% 5.16/4.72 tff(26070,plain,
% 5.16/4.72 (~trans(s199, s165)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25844, 25725])).
% 5.16/4.72 tff(26071,plain,
% 5.16/4.72 (~trans(s199, s159)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25590, 25731])).
% 5.16/4.72 tff(26072,plain,
% 5.16/4.72 (~trans(s199, s174)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25855, 25716])).
% 5.16/4.72 tff(26073,plain,
% 5.16/4.72 (~always3(s179)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[3913, 23026])).
% 5.16/4.72 tff(26074,plain,
% 5.16/4.72 (~always3(s178)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[3925, 26073])).
% 5.16/4.72 tff(26075,plain,
% 5.16/4.72 (~always3(s177)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[3937, 26074])).
% 5.16/4.72 tff(26076,plain,
% 5.16/4.72 (~always3(s176)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[3949, 26075])).
% 5.16/4.72 tff(26077,plain,
% 5.16/4.72 (~always3(s175)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[3961, 26076])).
% 5.16/4.72 tff(26078,plain,
% 5.16/4.72 (~always3(s174)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[3973, 26077])).
% 5.16/4.72 tff(26079,plain,
% 5.16/4.72 (~always3(s173)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[3986, 26078])).
% 5.16/4.72 tff(26080,plain,
% 5.16/4.72 (~always3(s172)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[3998, 26079])).
% 5.16/4.72 tff(26081,plain,
% 5.16/4.72 (~always3(s171)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4010, 26080])).
% 5.16/4.72 tff(26082,plain,
% 5.16/4.72 (~always3(s170)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4022, 26081])).
% 5.16/4.72 tff(26083,plain,
% 5.16/4.72 (~always3(s169)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4034, 26082])).
% 5.16/4.72 tff(26084,plain,
% 5.16/4.72 (~always3(s168)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4046, 26083])).
% 5.16/4.72 tff(26085,plain,
% 5.16/4.72 (~always3(s167)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4058, 26084])).
% 5.16/4.72 tff(26086,plain,
% 5.16/4.72 (~always3(s166)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4070, 26085])).
% 5.16/4.72 tff(26087,plain,
% 5.16/4.72 (~always3(s165)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4082, 26086])).
% 5.16/4.72 tff(26088,plain,
% 5.16/4.72 (~always3(s164)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4094, 26087])).
% 5.16/4.72 tff(26089,plain,
% 5.16/4.72 (~always3(s163)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4106, 26088])).
% 5.16/4.72 tff(26090,plain,
% 5.16/4.72 (~always3(s162)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4118, 26089])).
% 5.16/4.72 tff(26091,plain,
% 5.16/4.72 (~always3(s161)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4130, 26090])).
% 5.16/4.72 tff(26092,plain,
% 5.16/4.72 (~always3(s160)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4142, 26091])).
% 5.16/4.72 tff(26093,plain,
% 5.16/4.72 (~always3(s159)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4154, 26092])).
% 5.16/4.72 tff(26094,plain,
% 5.16/4.72 (~always3(s158)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4166, 26093])).
% 5.16/4.72 tff(26095,plain,
% 5.16/4.72 (~always3(s157)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4178, 26094])).
% 5.16/4.72 tff(26096,plain,
% 5.16/4.72 (~always3(s156)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4190, 26095])).
% 5.16/4.72 tff(26097,plain,
% 5.16/4.72 (~always3(s155)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4202, 26096])).
% 5.16/4.72 tff(26098,plain,
% 5.16/4.72 (~always3(s154)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4214, 26097])).
% 5.16/4.72 tff(26099,plain,
% 5.16/4.72 (~always3(s153)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4226, 26098])).
% 5.16/4.72 tff(26100,plain,
% 5.16/4.72 (~always3(s152)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4238, 26099])).
% 5.16/4.72 tff(26101,plain,
% 5.16/4.72 (~always3(s151)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4250, 26100])).
% 5.16/4.72 tff(26102,plain,
% 5.16/4.72 (~always3(s150)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4262, 26101])).
% 5.16/4.72 tff(26103,plain,
% 5.16/4.72 (~always3(s149)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4274, 26102])).
% 5.16/4.72 tff(26104,plain,
% 5.16/4.72 (~always3(s148)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4286, 26103])).
% 5.16/4.72 tff(26105,plain,
% 5.16/4.72 (~always3(s147)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4298, 26104])).
% 5.16/4.72 tff(26106,plain,
% 5.16/4.72 (~trans(s199, s147)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25753, 26105])).
% 5.16/4.72 tff(26107,plain,
% 5.16/4.72 (~trans(s199, s166)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25764, 26086])).
% 5.16/4.72 tff(26108,plain,
% 5.16/4.72 (~trans(s199, s148)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25535, 26104])).
% 5.16/4.72 tff(26109,plain,
% 5.16/4.72 (~always3(s146)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4310, 26105])).
% 5.16/4.72 tff(26110,plain,
% 5.16/4.72 (~trans(s199, s146)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25548, 26109])).
% 5.16/4.72 tff(26111,plain,
% 5.16/4.72 (~trans(s199, s162)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25559, 26090])).
% 5.16/4.72 tff(26112,plain,
% 5.16/4.72 (~trans(s199, s155)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25569, 26097])).
% 5.16/4.72 tff(26113,plain,
% 5.16/4.72 (~always3(s145)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4322, 26109])).
% 5.16/4.72 tff(26114,plain,
% 5.16/4.72 (~trans(s199, s145)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25580, 26113])).
% 5.16/4.72 tff(26115,plain,
% 5.16/4.72 (~trans(s199, s165)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25844, 26087])).
% 5.16/4.72 tff(26116,plain,
% 5.16/4.72 (~trans(s199, s159)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25590, 26093])).
% 5.16/4.72 tff(26117,plain,
% 5.16/4.72 (~trans(s199, s174)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25855, 26078])).
% 5.16/4.72 tff(26118,plain,
% 5.16/4.72 (~trans(s199, s181)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25866, 23025])).
% 5.16/4.72 tff(26119,plain,
% 5.16/4.72 (~trans(s199, s156)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25600, 26096])).
% 5.16/4.72 tff(26120,plain,
% 5.16/4.72 (~trans(s199, s177)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25878, 26075])).
% 5.16/4.72 tff(26121,plain,
% 5.16/4.72 (~trans(s199, s179)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25888, 26073])).
% 5.16/4.72 tff(26122,plain,
% 5.16/4.72 (~trans(s199, s180)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25898, 23026])).
% 5.16/4.72 tff(26123,plain,
% 5.16/4.72 (~trans(s199, s157)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25610, 26095])).
% 5.16/4.72 tff(26124,plain,
% 5.16/4.72 (~trans(s199, s150)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25620, 26102])).
% 5.16/4.72 tff(26125,plain,
% 5.16/4.72 (~trans(s199, s153)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25631, 26099])).
% 5.16/4.72 tff(26126,plain,
% 5.16/4.72 (~trans(s199, s161)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25641, 26091])).
% 5.16/4.72 tff(26127,plain,
% 5.16/4.72 (~trans(s199, s164)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25914, 26088])).
% 5.16/4.72 tff(26128,plain,
% 5.16/4.72 (~trans(s199, s167)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25985, 26085])).
% 5.16/4.72 tff(26129,plain,
% 5.16/4.72 (~trans(s199, s158)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25651, 26094])).
% 5.16/4.72 tff(26130,plain,
% 5.16/4.72 (~trans(s199, s149)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25661, 26103])).
% 5.16/4.72 tff(26131,plain,
% 5.16/4.72 (~trans(s199, s152)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25714, 26100])).
% 5.16/4.72 tff(26132,plain,
% 5.16/4.72 (~trans(s199, s170)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25930, 26082])).
% 5.16/4.72 tff(26133,plain,
% 5.16/4.72 (~trans(s199, s160)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25672, 26092])).
% 5.16/4.72 tff(26134,plain,
% 5.16/4.72 (~trans(s199, s151)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25682, 26101])).
% 5.16/4.72 tff(26135,plain,
% 5.16/4.72 (~trans(s199, s172)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25943, 26080])).
% 5.16/4.72 tff(26136,plain,
% 5.16/4.72 (~trans(s199, s173)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25953, 26079])).
% 5.16/4.72 tff(26137,plain,
% 5.16/4.72 (~trans(s199, s163)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25692, 26089])).
% 5.16/4.72 tff(26138,plain,
% 5.16/4.72 (~trans(s199, s154)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25703, 26098])).
% 5.16/4.72 tff(26139,plain,
% 5.16/4.72 (~trans(s199, s169)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25965, 26083])).
% 5.16/4.72 tff(26140,plain,
% 5.16/4.72 (~trans(s199, s176)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25975, 26076])).
% 5.16/4.72 tff(26141,plain,
% 5.16/4.72 (~trans(s199, s171)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25995, 26081])).
% 5.16/4.72 tff(26142,plain,
% 5.16/4.72 (~trans(s199, s168)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25805, 26084])).
% 5.16/4.72 tff(26143,plain,
% 5.16/4.72 (~trans(s199, s175)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[26006, 26077])).
% 5.16/4.72 tff(26144,plain,
% 5.16/4.72 (~xuntil2p8(s181)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[8605, 26060])).
% 5.16/4.72 tff(26145,plain,
% 5.16/4.72 (always3(s178)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[26017, 11353])).
% 5.16/4.72 tff(26146,plain,
% 5.16/4.72 (always3(s179)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[3925, 26145])).
% 5.16/4.72 tff(26147,plain,
% 5.16/4.72 (always3(s180)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[3913, 26146])).
% 5.16/4.72 tff(26148,plain,
% 5.16/4.72 (always3(s181)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[3901, 26147])).
% 5.16/4.72 tff(26149,plain,
% 5.16/4.72 (~m_main_v_state(s181, c_busy)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[23041, 145, 26148])).
% 5.16/4.72 tff(26150,plain,
% 5.16/4.72 (~m_main_v_state(s180, c_busy)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[23086, 145, 26147])).
% 5.16/4.72 tff(26151,plain,
% 5.16/4.72 (m_main_v_state(s180, c_ready)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[23090, 188, 26150])).
% 5.16/4.72 tff(26152,plain,
% 5.16/4.72 (~m_main_v_request(s180)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[23079, 26151, 26149])).
% 5.16/4.72 tff(26153,plain,
% 5.16/4.72 (~node4(s180)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[23070, 63, 26152])).
% 5.16/4.72 tff(26154,plain,
% 5.16/4.72 (always3(s182)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[3885, 26148])).
% 5.16/4.72 tff(26155,plain,
% 5.16/4.72 (~m_main_v_state(s182, c_busy)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[8159, 145, 26154])).
% 5.16/4.72 tff(26156,plain,
% 5.16/4.72 (m_main_v_state(s181, c_ready)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[23045, 188, 26149])).
% 5.16/4.72 tff(26157,plain,
% 5.16/4.72 (~m_main_v_request(s181)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[23054, 26156, 26155])).
% 5.16/4.72 tff(26158,plain,
% 5.16/4.72 (~node4(s181)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[23058, 63, 26157])).
% 5.16/4.72 tff(26159,assumption,(~xuntil2p8(s181)), introduced(assumption)).
% 5.16/4.72 tff(26160,plain,
% 5.16/4.72 (node4(s181) | (~until2p7(s181))),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[8609, 8293, 26159])).
% 5.16/4.72 tff(26161,plain,
% 5.16/4.72 (~until2p7(s181)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[26160, 26158])).
% 5.16/4.72 tff(26162,plain,
% 5.16/4.72 (~xuntil2p8(s180)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[8615, 26161])).
% 5.16/4.72 tff(26163,plain,
% 5.16/4.72 (~m_main_v_state(s179, c_busy)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[8651, 145, 26146])).
% 5.16/4.72 tff(26164,plain,
% 5.16/4.72 (m_main_v_state(s179, c_ready)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[23199, 188, 26163])).
% 5.16/4.72 tff(26165,plain,
% 5.16/4.72 (~m_main_v_request(s179)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[23178, 26164, 26150])).
% 5.16/4.72 tff(26166,plain,
% 5.16/4.72 (~node4(s179)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[23167, 63, 26165])).
% 5.16/4.72 tff(26167,plain,
% 5.16/4.72 (until2p7(s178)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[11361, 11353, 11264])).
% 5.16/4.72 tff(26168,plain,
% 5.16/4.72 (xuntil2p8(s178)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[8677, 26167])).
% 5.16/4.72 tff(26169,plain,
% 5.16/4.72 (until2p7(s179)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[8637, 26168])).
% 5.16/4.72 tff(26170,plain,
% 5.16/4.72 (node4(s179) | xuntil2p8(s179)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[8631, 8293, 26169])).
% 5.16/4.72 tff(26171,plain,
% 5.16/4.72 (xuntil2p8(s179)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[26170, 26166])).
% 5.16/4.72 tff(26172,plain,
% 5.16/4.72 (until2p7(s180)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[8626, 26171])).
% 5.16/4.72 tff(26173,plain,
% 5.16/4.72 ($false),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[8620, 8293, 26172, 26162, 26153])).
% 5.16/4.72 tff(26174,plain,((~trans(s199, s178)) | xuntil2p8(s181) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.16/4.72 tff(26175,plain,
% 5.16/4.72 (~trans(s199, s178)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[26174, 26144, 11264])).
% 5.16/4.72 tff(26176,plain,
% 5.16/4.72 (~always3(s144)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4334, 26113])).
% 5.16/4.72 tff(26177,plain,
% 5.16/4.72 (~trans(s199, s144)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[26028, 26176])).
% 5.16/4.72 tff(26178,plain,
% 5.16/4.72 (~always3(s143)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4968, 26176])).
% 5.16/4.72 tff(26179,plain,
% 5.16/4.72 (~trans(s199, s143)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[26040, 26178])).
% 5.16/4.72 tff(26180,plain,
% 5.16/4.72 ($false),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[26047, 26179, 26177, 13665, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 26175, 13641, 26143, 13639, 13638, 13637, 13636, 13635, 26142, 13633, 13632, 13631, 13630, 26141, 13628, 13627, 13626, 26140, 13624, 13623, 13622, 13621, 13620, 13619, 26139, 13617, 13616, 13615, 26138, 26137, 26136, 13611, 13610, 13609, 13608, 26135, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 26134, 26133, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 26132, 11264, 25920, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 26131, 13567, 13566, 13565, 13564, 26130, 13562, 13561, 26129, 13559, 26128, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 26127, 26126, 26125, 13535, 13534, 13532, 26124, 13530, 26123, 25900, 13527, 13526, 13525, 26122, 26121, 26120, 26119, 26118, 25857, 13518, 13517, 26117, 13515, 13514, 13513, 13512, 26116, 13510, 26115, 13508, 26114, 13506, 26112, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 26111, 13496, 13495, 26110, 13493, 26108, 13491, 13490, 13489, 13488, 26062, 26061, 25767, 25766, 13440, 26107, 13438, 13437, 26106, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.16/4.72 tff(26181,plain,(always3(s181) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | (~xuntil6(s199)) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s128) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s120) | trans(s199, s138) | trans(s199, s38) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.72 tff(26182,plain,
% 5.16/4.72 (always3(s181)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[26181, 13660, 13662, 12474, 13665, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13517, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 13495, 13493, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.16/4.72 tff(26183,plain,
% 5.16/4.72 (always3(s182)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[3885, 26182])).
% 5.16/4.72 tff(26184,plain,
% 5.16/4.72 (~m_main_v_state(s182, c_busy)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[8159, 145, 26183])).
% 5.16/4.72 tff(26185,plain,
% 5.16/4.72 (~m_main_v_state(s181, c_busy)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[23041, 145, 26182])).
% 5.16/4.72 tff(26186,plain,
% 5.16/4.72 (m_main_v_state(s181, c_ready)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[23045, 188, 26185])).
% 5.16/4.72 tff(26187,plain,
% 5.16/4.72 (~m_main_v_request(s181)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[23054, 26186, 26184])).
% 5.16/4.72 tff(26188,plain,
% 5.16/4.72 (~node4(s181)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[23058, 63, 26187])).
% 5.16/4.72 tff(26189,plain,
% 5.16/4.72 (node4(s181) | (~until2p7(s181))),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[8609, 8293, 26144])).
% 5.16/4.72 tff(26190,plain,
% 5.16/4.72 (~until2p7(s181)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[26189, 26188])).
% 5.16/4.72 tff(26191,plain,
% 5.16/4.72 (~trans(s199, s181)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[11768, 26190, 11264])).
% 5.16/4.72 tff(26192,plain,
% 5.16/4.72 (~trans(s199, s156)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25600, 25734])).
% 5.16/4.72 tff(26193,plain,
% 5.16/4.72 (~always3(s174)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[3973, 8060])).
% 5.16/4.72 tff(26194,plain,
% 5.16/4.72 (~always3(s173)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[3986, 26193])).
% 5.16/4.72 tff(26195,plain,
% 5.16/4.72 (~always3(s172)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[3998, 26194])).
% 5.16/4.72 tff(26196,plain,
% 5.16/4.72 (~always3(s171)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4010, 26195])).
% 5.16/4.72 tff(26197,plain,
% 5.16/4.72 (~always3(s170)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4022, 26196])).
% 5.16/4.72 tff(26198,plain,
% 5.16/4.72 (~always3(s169)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4034, 26197])).
% 5.16/4.72 tff(26199,plain,
% 5.16/4.72 (~always3(s168)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4046, 26198])).
% 5.16/4.72 tff(26200,plain,
% 5.16/4.72 (~always3(s167)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4058, 26199])).
% 5.16/4.72 tff(26201,plain,
% 5.16/4.72 (~always3(s166)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4070, 26200])).
% 5.16/4.72 tff(26202,plain,
% 5.16/4.72 (~always3(s165)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4082, 26201])).
% 5.16/4.72 tff(26203,plain,
% 5.16/4.72 (~always3(s164)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4094, 26202])).
% 5.16/4.72 tff(26204,plain,
% 5.16/4.72 (~always3(s163)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4106, 26203])).
% 5.16/4.72 tff(26205,plain,
% 5.16/4.72 (~always3(s162)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4118, 26204])).
% 5.16/4.72 tff(26206,plain,
% 5.16/4.72 (~always3(s161)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4130, 26205])).
% 5.16/4.72 tff(26207,plain,
% 5.16/4.72 (~always3(s160)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4142, 26206])).
% 5.16/4.72 tff(26208,plain,
% 5.16/4.72 (~always3(s159)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4154, 26207])).
% 5.16/4.72 tff(26209,plain,
% 5.16/4.72 (~always3(s158)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4166, 26208])).
% 5.16/4.72 tff(26210,plain,
% 5.16/4.72 (~always3(s157)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4178, 26209])).
% 5.16/4.72 tff(26211,plain,
% 5.16/4.72 (~always3(s156)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4190, 26210])).
% 5.16/4.72 tff(26212,plain,
% 5.16/4.72 (~always3(s155)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4202, 26211])).
% 5.16/4.72 tff(26213,plain,
% 5.16/4.72 (~always3(s154)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4214, 26212])).
% 5.16/4.72 tff(26214,plain,
% 5.16/4.72 (~always3(s153)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4226, 26213])).
% 5.16/4.72 tff(26215,plain,
% 5.16/4.72 (~always3(s152)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4238, 26214])).
% 5.16/4.72 tff(26216,plain,
% 5.16/4.72 (~always3(s151)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4250, 26215])).
% 5.16/4.72 tff(26217,plain,
% 5.16/4.72 (~always3(s150)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4262, 26216])).
% 5.16/4.72 tff(26218,plain,
% 5.16/4.72 (~always3(s149)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4274, 26217])).
% 5.16/4.72 tff(26219,plain,
% 5.16/4.72 (~always3(s148)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4286, 26218])).
% 5.16/4.72 tff(26220,plain,
% 5.16/4.72 (~always3(s147)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4298, 26219])).
% 5.16/4.72 tff(26221,plain,
% 5.16/4.72 (~trans(s199, s147)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25753, 26220])).
% 5.16/4.72 tff(26222,plain,
% 5.16/4.72 (~trans(s199, s166)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25764, 26201])).
% 5.16/4.72 tff(26223,plain,
% 5.16/4.72 (~trans(s199, s148)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25535, 26219])).
% 5.16/4.72 tff(26224,plain,
% 5.16/4.72 (~always3(s146)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4310, 26220])).
% 5.16/4.72 tff(26225,plain,
% 5.16/4.72 (~trans(s199, s146)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25548, 26224])).
% 5.16/4.72 tff(26226,plain,
% 5.16/4.72 (~trans(s199, s162)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25559, 26205])).
% 5.16/4.72 tff(26227,plain,
% 5.16/4.72 (~trans(s199, s155)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25569, 26212])).
% 5.16/4.72 tff(26228,plain,
% 5.16/4.72 (~always3(s145)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[4322, 26224])).
% 5.16/4.72 tff(26229,plain,
% 5.16/4.72 (~trans(s199, s145)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25580, 26228])).
% 5.16/4.72 tff(26230,plain,
% 5.16/4.72 (~trans(s199, s165)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25844, 26202])).
% 5.16/4.72 tff(26231,plain,
% 5.16/4.72 (~trans(s199, s159)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25590, 26208])).
% 5.16/4.72 tff(26232,plain,
% 5.16/4.72 (~trans(s199, s174)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25855, 26193])).
% 5.16/4.72 tff(26233,plain,
% 5.16/4.72 (~trans(s199, s156)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25600, 26211])).
% 5.16/4.72 tff(26234,plain,
% 5.16/4.72 (~trans(s199, s177)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25878, 8054])).
% 5.16/4.72 tff(26235,plain,
% 5.16/4.72 (~trans(s199, s179)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25888, 8006])).
% 5.16/4.72 tff(26236,plain,
% 5.16/4.72 (~trans(s199, s180)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25898, 8005])).
% 5.16/4.72 tff(26237,plain,
% 5.16/4.72 (~trans(s199, s157)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25610, 26210])).
% 5.16/4.72 tff(26238,plain,
% 5.16/4.72 (~trans(s199, s150)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25620, 26217])).
% 5.16/4.72 tff(26239,plain,
% 5.16/4.72 (~trans(s199, s153)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25631, 26214])).
% 5.16/4.72 tff(26240,plain,
% 5.16/4.72 (~trans(s199, s161)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25641, 26206])).
% 5.16/4.72 tff(26241,plain,
% 5.16/4.72 (~trans(s199, s164)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25914, 26203])).
% 5.16/4.72 tff(26242,plain,
% 5.16/4.72 (~trans(s199, s167)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25985, 26200])).
% 5.16/4.72 tff(26243,plain,
% 5.16/4.72 (~trans(s199, s158)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25651, 26209])).
% 5.16/4.72 tff(26244,plain,
% 5.16/4.72 (~trans(s199, s149)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25661, 26218])).
% 5.16/4.72 tff(26245,plain,
% 5.16/4.72 (~trans(s199, s152)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25714, 26215])).
% 5.16/4.72 tff(26246,plain,
% 5.16/4.72 (~trans(s199, s170)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25930, 26197])).
% 5.16/4.72 tff(26247,plain,
% 5.16/4.72 (~trans(s199, s160)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25672, 26207])).
% 5.16/4.72 tff(26248,plain,
% 5.16/4.72 (~trans(s199, s151)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25682, 26216])).
% 5.16/4.72 tff(26249,plain,
% 5.16/4.72 (~trans(s199, s172)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25943, 26195])).
% 5.16/4.72 tff(26250,plain,
% 5.16/4.72 (~trans(s199, s173)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25953, 26194])).
% 5.16/4.72 tff(26251,plain,
% 5.16/4.72 (~trans(s199, s163)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25692, 26204])).
% 5.16/4.72 tff(26252,plain,
% 5.16/4.72 (~trans(s199, s154)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25703, 26213])).
% 5.16/4.72 tff(26253,plain,
% 5.16/4.72 (~trans(s199, s169)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25965, 26198])).
% 5.16/4.72 tff(26254,plain,
% 5.16/4.72 (~trans(s199, s176)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25975, 8055])).
% 5.16/4.72 tff(26255,plain,
% 5.16/4.72 (~trans(s199, s171)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25995, 26196])).
% 5.16/4.72 tff(26256,plain,
% 5.16/4.72 (~trans(s199, s168)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[25805, 26199])).
% 5.16/4.72 tff(26257,plain,
% 5.16/4.72 (~trans(s199, s175)),
% 5.16/4.72 inference(unit_resolution,[status(thm)],[26006, 8060])).
% 5.16/4.73 tff(26258,plain,
% 5.16/4.73 (~always3(s144)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4334, 26228])).
% 5.16/4.73 tff(26259,plain,
% 5.16/4.73 (~trans(s199, s144)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[26028, 26258])).
% 5.16/4.73 tff(26260,plain,
% 5.16/4.73 (~always3(s143)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4968, 26258])).
% 5.16/4.73 tff(26261,plain,
% 5.16/4.73 (~trans(s199, s143)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[26040, 26260])).
% 5.16/4.73 tff(26262,plain,
% 5.16/4.73 ($false),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[26047, 26261, 26259, 13665, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 26175, 13641, 26257, 13639, 13638, 13637, 13636, 13635, 26256, 13633, 13632, 13631, 13630, 26255, 13628, 13627, 13626, 26254, 13624, 13623, 13622, 13621, 13620, 13619, 26253, 13617, 13616, 13615, 26252, 26251, 26250, 13611, 13610, 13609, 13608, 26249, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 26248, 26247, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 26246, 11264, 25920, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 26245, 13567, 13566, 13565, 13564, 26244, 13562, 13561, 26243, 13559, 26242, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 26241, 26240, 26239, 13535, 13534, 13532, 26238, 13530, 26237, 25900, 13527, 13526, 13525, 26236, 26235, 26234, 26233, 26191, 25857, 13518, 13517, 26232, 13515, 13514, 13513, 13512, 26231, 13510, 26230, 13508, 26229, 13506, 26227, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 26226, 13496, 13495, 26225, 13493, 26223, 13491, 13490, 13489, 13488, 26062, 26061, 25767, 25766, 13440, 26222, 13438, 13437, 26221, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.16/4.73 tff(26263,plain,(always3(s180) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | (~xuntil6(s199)) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s128) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s120) | trans(s199, s138) | trans(s199, s38) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.16/4.73 tff(26264,plain,
% 5.16/4.73 (always3(s180)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[26263, 13660, 13662, 12474, 13665, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13517, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 13495, 13493, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.16/4.73 tff(26265,plain,
% 5.16/4.73 (~m_main_v_state(s180, c_busy)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[23086, 145, 26264])).
% 5.16/4.73 tff(26266,plain,
% 5.16/4.73 (~always3(s176)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[3949, 23182])).
% 5.16/4.73 tff(26267,plain,
% 5.16/4.73 (~always3(s175)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[3961, 26266])).
% 5.16/4.73 tff(26268,plain,
% 5.16/4.73 (~always3(s174)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[3973, 26267])).
% 5.16/4.73 tff(26269,plain,
% 5.16/4.73 (~always3(s173)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[3986, 26268])).
% 5.16/4.73 tff(26270,plain,
% 5.16/4.73 (~always3(s172)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[3998, 26269])).
% 5.16/4.73 tff(26271,plain,
% 5.16/4.73 (~always3(s171)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4010, 26270])).
% 5.16/4.73 tff(26272,plain,
% 5.16/4.73 (~always3(s170)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4022, 26271])).
% 5.16/4.73 tff(26273,plain,
% 5.16/4.73 (~always3(s169)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4034, 26272])).
% 5.16/4.73 tff(26274,plain,
% 5.16/4.73 (~always3(s168)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4046, 26273])).
% 5.16/4.73 tff(26275,plain,
% 5.16/4.73 (~always3(s167)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4058, 26274])).
% 5.16/4.73 tff(26276,plain,
% 5.16/4.73 (~always3(s166)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4070, 26275])).
% 5.16/4.73 tff(26277,plain,
% 5.16/4.73 (~always3(s165)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4082, 26276])).
% 5.16/4.73 tff(26278,plain,
% 5.16/4.73 (~always3(s164)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4094, 26277])).
% 5.16/4.73 tff(26279,plain,
% 5.16/4.73 (~always3(s163)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4106, 26278])).
% 5.16/4.73 tff(26280,plain,
% 5.16/4.73 (~always3(s162)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4118, 26279])).
% 5.16/4.73 tff(26281,plain,
% 5.16/4.73 (~always3(s161)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4130, 26280])).
% 5.16/4.73 tff(26282,plain,
% 5.16/4.73 (~always3(s160)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4142, 26281])).
% 5.16/4.73 tff(26283,plain,
% 5.16/4.73 (~always3(s159)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4154, 26282])).
% 5.16/4.73 tff(26284,plain,
% 5.16/4.73 (~always3(s158)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4166, 26283])).
% 5.16/4.73 tff(26285,plain,
% 5.16/4.73 (~always3(s157)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4178, 26284])).
% 5.16/4.73 tff(26286,plain,
% 5.16/4.73 (~always3(s156)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4190, 26285])).
% 5.16/4.73 tff(26287,plain,
% 5.16/4.73 (~always3(s155)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4202, 26286])).
% 5.16/4.73 tff(26288,plain,
% 5.16/4.73 (~always3(s154)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4214, 26287])).
% 5.16/4.73 tff(26289,plain,
% 5.16/4.73 (~always3(s153)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4226, 26288])).
% 5.16/4.73 tff(26290,plain,
% 5.16/4.73 (~always3(s152)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4238, 26289])).
% 5.16/4.73 tff(26291,plain,
% 5.16/4.73 (~always3(s151)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4250, 26290])).
% 5.16/4.73 tff(26292,plain,
% 5.16/4.73 (~always3(s150)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4262, 26291])).
% 5.16/4.73 tff(26293,plain,
% 5.16/4.73 (~always3(s149)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4274, 26292])).
% 5.16/4.73 tff(26294,plain,
% 5.16/4.73 (~always3(s148)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4286, 26293])).
% 5.16/4.73 tff(26295,plain,
% 5.16/4.73 (~always3(s147)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4298, 26294])).
% 5.16/4.73 tff(26296,plain,
% 5.16/4.73 (~trans(s199, s147)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25753, 26295])).
% 5.16/4.73 tff(26297,plain,
% 5.16/4.73 (~trans(s199, s166)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25764, 26276])).
% 5.16/4.73 tff(26298,plain,
% 5.16/4.73 (~trans(s199, s148)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25535, 26294])).
% 5.16/4.73 tff(26299,plain,
% 5.16/4.73 (~always3(s146)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4310, 26295])).
% 5.16/4.73 tff(26300,plain,
% 5.16/4.73 (~trans(s199, s146)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25548, 26299])).
% 5.16/4.73 tff(26301,plain,
% 5.16/4.73 (~trans(s199, s162)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25559, 26280])).
% 5.16/4.73 tff(26302,plain,
% 5.16/4.73 (~trans(s199, s155)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25569, 26287])).
% 5.16/4.73 tff(26303,plain,
% 5.16/4.73 (~always3(s145)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4322, 26299])).
% 5.16/4.73 tff(26304,plain,
% 5.16/4.73 (~trans(s199, s145)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25580, 26303])).
% 5.16/4.73 tff(26305,plain,
% 5.16/4.73 (~trans(s199, s165)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25844, 26277])).
% 5.16/4.73 tff(26306,plain,
% 5.16/4.73 (~trans(s199, s159)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25590, 26283])).
% 5.16/4.73 tff(26307,plain,
% 5.16/4.73 (~trans(s199, s174)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25855, 26268])).
% 5.16/4.73 tff(26308,plain,
% 5.16/4.73 (~trans(s199, s156)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25600, 26286])).
% 5.16/4.73 tff(26309,plain,
% 5.16/4.73 (~trans(s199, s177)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25878, 23182])).
% 5.16/4.73 tff(26310,plain,
% 5.16/4.73 (~trans(s199, s179)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25888, 23180])).
% 5.16/4.73 tff(26311,plain,
% 5.16/4.73 (m_main_v_state(s180, c_ready)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[23090, 188, 26265])).
% 5.16/4.73 tff(26312,plain,
% 5.16/4.73 (~m_main_v_request(s180)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[23079, 26311, 26185])).
% 5.16/4.73 tff(26313,plain,
% 5.16/4.73 (~node4(s180)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[23070, 63, 26312])).
% 5.16/4.73 tff(26314,plain,
% 5.16/4.73 (~xuntil2p8(s180)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[8615, 26190])).
% 5.16/4.73 tff(26315,plain,
% 5.16/4.73 (node4(s180) | (~until2p7(s180))),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[8620, 8293, 26314])).
% 5.16/4.73 tff(26316,plain,
% 5.16/4.73 (~until2p7(s180)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[26315, 26313])).
% 5.16/4.73 tff(26317,plain,
% 5.16/4.73 (~trans(s199, s180)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[11812, 26316, 11264])).
% 5.16/4.73 tff(26318,plain,
% 5.16/4.73 (~trans(s199, s157)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25610, 26285])).
% 5.16/4.73 tff(26319,plain,
% 5.16/4.73 (~trans(s199, s150)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25620, 26292])).
% 5.16/4.73 tff(26320,plain,
% 5.16/4.73 (~trans(s199, s153)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25631, 26289])).
% 5.16/4.73 tff(26321,plain,
% 5.16/4.73 (~trans(s199, s161)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25641, 26281])).
% 5.16/4.73 tff(26322,plain,
% 5.16/4.73 (~trans(s199, s164)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25914, 26278])).
% 5.16/4.73 tff(26323,plain,
% 5.16/4.73 (~trans(s199, s167)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25985, 26275])).
% 5.16/4.73 tff(26324,plain,
% 5.16/4.73 (~trans(s199, s158)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25651, 26284])).
% 5.16/4.73 tff(26325,plain,
% 5.16/4.73 (~trans(s199, s149)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25661, 26293])).
% 5.16/4.73 tff(26326,plain,
% 5.16/4.73 (~trans(s199, s152)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25714, 26290])).
% 5.16/4.73 tff(26327,plain,
% 5.16/4.73 (~trans(s199, s170)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25930, 26272])).
% 5.16/4.73 tff(26328,plain,
% 5.16/4.73 (~trans(s199, s160)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25672, 26282])).
% 5.16/4.73 tff(26329,plain,
% 5.16/4.73 (~trans(s199, s151)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25682, 26291])).
% 5.16/4.73 tff(26330,plain,
% 5.16/4.73 (~trans(s199, s172)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25943, 26270])).
% 5.16/4.73 tff(26331,plain,
% 5.16/4.73 (~trans(s199, s173)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25953, 26269])).
% 5.16/4.73 tff(26332,plain,
% 5.16/4.73 (~trans(s199, s163)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25692, 26279])).
% 5.16/4.73 tff(26333,plain,
% 5.16/4.73 (~trans(s199, s154)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25703, 26288])).
% 5.16/4.73 tff(26334,plain,
% 5.16/4.73 (~trans(s199, s169)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25965, 26273])).
% 5.16/4.73 tff(26335,plain,
% 5.16/4.73 (~trans(s199, s176)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25975, 26266])).
% 5.16/4.73 tff(26336,plain,
% 5.16/4.73 (~trans(s199, s171)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25995, 26271])).
% 5.16/4.73 tff(26337,plain,
% 5.16/4.73 (~trans(s199, s168)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[25805, 26274])).
% 5.16/4.73 tff(26338,plain,
% 5.16/4.73 (~trans(s199, s175)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[26006, 26267])).
% 5.16/4.73 tff(26339,plain,
% 5.16/4.73 (~always3(s144)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4334, 26303])).
% 5.16/4.73 tff(26340,plain,
% 5.16/4.73 (~trans(s199, s144)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[26028, 26339])).
% 5.16/4.73 tff(26341,plain,
% 5.16/4.73 (~always3(s143)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[4968, 26339])).
% 5.16/4.73 tff(26342,plain,
% 5.16/4.73 (~trans(s199, s143)),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[26040, 26341])).
% 5.16/4.73 tff(26343,plain,
% 5.16/4.73 ($false),
% 5.16/4.73 inference(unit_resolution,[status(thm)],[26047, 26342, 26340, 13665, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 26175, 13641, 26338, 13639, 13638, 13637, 13636, 13635, 26337, 13633, 13632, 13631, 13630, 26336, 13628, 13627, 13626, 26335, 13624, 13623, 13622, 13621, 13620, 13619, 26334, 13617, 13616, 13615, 26333, 26332, 26331, 13611, 13610, 13609, 13608, 26330, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 26329, 26328, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 26327, 11264, 25920, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 26326, 13567, 13566, 13565, 13564, 26325, 13562, 13561, 26324, 13559, 26323, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 26322, 26321, 26320, 13535, 13534, 13532, 26319, 13530, 26318, 25900, 13527, 13526, 13525, 26317, 26310, 26309, 26308, 26191, 25857, 13518, 13517, 26307, 13515, 13514, 13513, 13512, 26306, 13510, 26305, 13508, 26304, 13506, 26302, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 26301, 13496, 13495, 26300, 13493, 26298, 13491, 13490, 13489, 13488, 26062, 26061, 25767, 25766, 13440, 26297, 13438, 13437, 26296, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.16/4.73 tff(26344,plain,(always3(s179) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | (~xuntil6(s199)) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s128) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s120) | trans(s199, s138) | trans(s199, s38) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.26/4.73 tff(26345,plain,
% 5.26/4.73 (always3(s179)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[26344, 13660, 13662, 12474, 13665, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13517, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 13495, 13493, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.73 tff(26346,plain,
% 5.26/4.73 (~m_main_v_state(s179, c_busy)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8651, 145, 26345])).
% 5.26/4.73 tff(26347,plain,
% 5.26/4.73 (m_main_v_state(s179, c_ready)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[23199, 188, 26346])).
% 5.26/4.73 tff(26348,plain,
% 5.26/4.73 (~m_main_v_request(s179)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[23178, 26347, 26265])).
% 5.26/4.73 tff(26349,plain,
% 5.26/4.73 (~node4(s179)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[23167, 63, 26348])).
% 5.26/4.73 tff(26350,plain,
% 5.26/4.73 (~xuntil2p8(s179)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8626, 26316])).
% 5.26/4.73 tff(26351,plain,
% 5.26/4.73 (node4(s179) | (~until2p7(s179))),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8631, 8293, 26350])).
% 5.26/4.73 tff(26352,plain,
% 5.26/4.73 (~until2p7(s179)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[26351, 26349])).
% 5.26/4.73 tff(26353,plain,
% 5.26/4.73 (~xuntil2p8(s178)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8637, 26352])).
% 5.26/4.73 tff(26354,plain,
% 5.26/4.73 (~until2p7(s178)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8677, 26353])).
% 5.26/4.73 tff(26355,plain,
% 5.26/4.73 (~xuntil2p8(s177)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8682, 26354])).
% 5.26/4.73 tff(26356,plain,
% 5.26/4.73 (~until2p7(s177)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8716, 26355])).
% 5.26/4.73 tff(26357,plain,
% 5.26/4.73 (~trans(s199, s177)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[11790, 26356, 11264])).
% 5.26/4.73 tff(26358,plain,
% 5.26/4.73 (~trans(s199, s179)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[11801, 26352, 11264])).
% 5.26/4.73 tff(26359,plain,
% 5.26/4.73 (~trans(s199, s157)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25610, 25733])).
% 5.26/4.73 tff(26360,plain,
% 5.26/4.73 (~trans(s199, s150)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25620, 25740])).
% 5.26/4.73 tff(26361,plain,
% 5.26/4.73 (~trans(s199, s153)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25631, 25737])).
% 5.26/4.73 tff(26362,plain,
% 5.26/4.73 (~trans(s199, s161)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25641, 25729])).
% 5.26/4.73 tff(26363,plain,
% 5.26/4.73 (~trans(s199, s164)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25914, 25726])).
% 5.26/4.73 tff(26364,plain,
% 5.26/4.73 (~trans(s199, s167)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25985, 25723])).
% 5.26/4.73 tff(26365,plain,
% 5.26/4.73 (~trans(s199, s158)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25651, 25732])).
% 5.26/4.73 tff(26366,plain,
% 5.26/4.73 (~trans(s199, s149)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25661, 25741])).
% 5.26/4.73 tff(26367,plain,
% 5.26/4.73 (~trans(s199, s152)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25714, 25738])).
% 5.26/4.73 tff(26368,plain,
% 5.26/4.73 (~trans(s199, s170)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25930, 25720])).
% 5.26/4.73 tff(26369,plain,
% 5.26/4.73 (~trans(s199, s160)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25672, 25730])).
% 5.26/4.73 tff(26370,plain,
% 5.26/4.73 (~trans(s199, s151)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25682, 25739])).
% 5.26/4.73 tff(26371,plain,
% 5.26/4.73 (~trans(s199, s172)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25943, 25718])).
% 5.26/4.73 tff(26372,plain,
% 5.26/4.73 (~trans(s199, s173)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25953, 25717])).
% 5.26/4.73 tff(26373,plain,
% 5.26/4.73 (~trans(s199, s163)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25692, 25727])).
% 5.26/4.73 tff(26374,plain,
% 5.26/4.73 (~trans(s199, s154)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25703, 25736])).
% 5.26/4.73 tff(26375,plain,
% 5.26/4.73 (~trans(s199, s169)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25965, 25721])).
% 5.26/4.73 tff(26376,plain,
% 5.26/4.73 (~trans(s199, s176)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25975, 23096])).
% 5.26/4.73 tff(26377,plain,
% 5.26/4.73 (~trans(s199, s171)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25995, 25719])).
% 5.26/4.73 tff(26378,plain,
% 5.26/4.73 (~trans(s199, s168)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25805, 25722])).
% 5.26/4.73 tff(26379,plain,
% 5.26/4.73 (~trans(s199, s175)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[26006, 23100])).
% 5.26/4.73 tff(26380,plain,
% 5.26/4.73 (~always3(s144)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[4334, 26068])).
% 5.26/4.73 tff(26381,plain,
% 5.26/4.73 (~trans(s199, s144)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[26028, 26380])).
% 5.26/4.73 tff(26382,plain,
% 5.26/4.73 (~always3(s143)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[4968, 26380])).
% 5.26/4.73 tff(26383,plain,
% 5.26/4.73 (~trans(s199, s143)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[26040, 26382])).
% 5.26/4.73 tff(26384,plain,
% 5.26/4.73 ($false),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[26047, 26383, 26381, 13665, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 26175, 13641, 26379, 13639, 13638, 13637, 13636, 13635, 26378, 13633, 13632, 13631, 13630, 26377, 13628, 13627, 13626, 26376, 13624, 13623, 13622, 13621, 13620, 13619, 26375, 13617, 13616, 13615, 26374, 26373, 26372, 13611, 13610, 13609, 13608, 26371, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 26370, 26369, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 26368, 11264, 25920, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 26367, 13567, 13566, 13565, 13564, 26366, 13562, 13561, 26365, 13559, 26364, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 26363, 26362, 26361, 13535, 13534, 13532, 26360, 13530, 26359, 25900, 13527, 13526, 13525, 26317, 26358, 26357, 26192, 26191, 25857, 13518, 13517, 26072, 13515, 13514, 13513, 13512, 26071, 13510, 26070, 13508, 26069, 13506, 26067, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 26066, 13496, 13495, 26065, 13493, 26063, 13491, 13490, 13489, 13488, 26062, 26061, 25767, 25766, 13440, 25765, 13438, 13437, 25754, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.26/4.73 tff(26385,plain,(always3(s176) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | (~xuntil6(s199)) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s128) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s120) | trans(s199, s138) | trans(s199, s38) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.26/4.73 tff(26386,plain,
% 5.26/4.73 (always3(s176)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[26385, 13660, 13662, 12474, 13665, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13517, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 13495, 13493, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.73 tff(26387,plain,
% 5.26/4.73 (~m_main_v_state(s176, c_busy)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[23111, 145, 26386])).
% 5.26/4.73 tff(26388,plain,
% 5.26/4.73 (always3(s177)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[3949, 26386])).
% 5.26/4.73 tff(26389,plain,
% 5.26/4.73 (~m_main_v_state(s177, c_busy)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8706, 145, 26388])).
% 5.26/4.73 tff(26390,plain,
% 5.26/4.73 (m_main_v_state(s176, c_ready)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[23117, 188, 26387])).
% 5.26/4.73 tff(26391,plain,
% 5.26/4.73 (~m_main_v_request(s176)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[23126, 26390, 26389])).
% 5.26/4.73 tff(26392,plain,
% 5.26/4.73 (~node4(s176)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[23130, 63, 26391])).
% 5.26/4.73 tff(26393,plain,
% 5.26/4.73 (~xuntil2p8(s176)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8721, 26356])).
% 5.26/4.73 tff(26394,plain,
% 5.26/4.73 (node4(s176) | (~until2p7(s176))),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8726, 8293, 26393])).
% 5.26/4.73 tff(26395,plain,
% 5.26/4.73 (~until2p7(s176)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[26394, 26392])).
% 5.26/4.73 tff(26396,plain,
% 5.26/4.73 (~xuntil2p8(s175)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8732, 26395])).
% 5.26/4.73 tff(26397,plain,
% 5.26/4.73 (always3(s164)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[25914, 11958])).
% 5.26/4.73 tff(26398,plain,
% 5.26/4.73 (always3(s165)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[4094, 26397])).
% 5.26/4.73 tff(26399,plain,
% 5.26/4.73 (always3(s166)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[4082, 26398])).
% 5.26/4.73 tff(26400,plain,
% 5.26/4.73 (always3(s167)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[4070, 26399])).
% 5.26/4.73 tff(26401,plain,
% 5.26/4.73 (always3(s168)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[4058, 26400])).
% 5.26/4.73 tff(26402,plain,
% 5.26/4.73 (always3(s169)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[4046, 26401])).
% 5.26/4.73 tff(26403,plain,
% 5.26/4.73 (always3(s170)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[4034, 26402])).
% 5.26/4.73 tff(26404,plain,
% 5.26/4.73 (always3(s171)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[4022, 26403])).
% 5.26/4.73 tff(26405,plain,
% 5.26/4.73 (~m_main_v_state(s171, c_busy)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[22872, 145, 26404])).
% 5.26/4.73 tff(26406,plain,
% 5.26/4.73 (~m_main_v_state(s170, c_busy)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[22921, 145, 26403])).
% 5.26/4.73 tff(26407,plain,
% 5.26/4.73 (m_main_v_state(s170, c_ready)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[22925, 188, 26406])).
% 5.26/4.73 tff(26408,plain,
% 5.26/4.73 (~m_main_v_request(s170)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[22913, 26407, 26405])).
% 5.26/4.73 tff(26409,plain,
% 5.26/4.73 (~node4(s170)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[22904, 63, 26408])).
% 5.26/4.73 tff(26410,plain,
% 5.26/4.73 (~m_main_v_state(s169, c_busy)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8828, 145, 26402])).
% 5.26/4.73 tff(26411,plain,
% 5.26/4.73 (m_main_v_state(s169, c_ready)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[23951, 26410])).
% 5.26/4.73 tff(26412,plain,
% 5.26/4.73 (~m_main_v_request(s169)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[22966, 26411, 26406])).
% 5.26/4.73 tff(26413,plain,
% 5.26/4.73 (~node4(s169)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[22970, 63, 26412])).
% 5.26/4.73 tff(26414,plain,
% 5.26/4.73 (~m_main_v_state(s168, c_busy)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8844, 145, 26401])).
% 5.26/4.73 tff(26415,plain,
% 5.26/4.73 (~m_main_v_state(s167, c_busy)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8886, 145, 26400])).
% 5.26/4.73 tff(26416,plain,
% 5.26/4.73 (m_main_v_state(s167, c_ready)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[23981, 26415])).
% 5.26/4.73 tff(26417,plain,
% 5.26/4.73 (~m_main_v_request(s167)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[22436, 26416, 26414])).
% 5.26/4.73 tff(26418,plain,
% 5.26/4.73 (~node4(s167)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[22427, 63, 26417])).
% 5.26/4.73 tff(26419,plain,
% 5.26/4.73 (until2p7(s164)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[11966, 11958, 11264])).
% 5.26/4.73 tff(26420,plain,
% 5.26/4.73 (xuntil2p8(s164)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8990, 26419])).
% 5.26/4.73 tff(26421,plain,
% 5.26/4.73 (until2p7(s165)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8956, 26420])).
% 5.26/4.73 tff(26422,plain,
% 5.26/4.73 (xuntil2p8(s165)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8951, 26421])).
% 5.26/4.73 tff(26423,plain,
% 5.26/4.73 (until2p7(s166)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8917, 26422])).
% 5.26/4.73 tff(26424,plain,
% 5.26/4.73 (xuntil2p8(s166)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8912, 26423])).
% 5.26/4.73 tff(26425,plain,
% 5.26/4.73 (until2p7(s167)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8872, 26424])).
% 5.26/4.73 tff(26426,plain,
% 5.26/4.73 (node4(s167) | xuntil2p8(s167)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8866, 8293, 26425])).
% 5.26/4.73 tff(26427,plain,
% 5.26/4.73 (xuntil2p8(s167)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[26426, 26418])).
% 5.26/4.73 tff(26428,plain,
% 5.26/4.73 (until2p7(s168)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8859, 26427])).
% 5.26/4.73 tff(26429,plain,
% 5.26/4.73 (xuntil2p8(s168)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8854, 26428])).
% 5.26/4.73 tff(26430,plain,
% 5.26/4.73 (until2p7(s169)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8814, 26429])).
% 5.26/4.73 tff(26431,plain,
% 5.26/4.73 (xuntil2p8(s169)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8808, 8293, 26430, 26413])).
% 5.26/4.73 tff(26432,plain,
% 5.26/4.73 (until2p7(s170)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8802, 26431])).
% 5.26/4.73 tff(26433,plain,
% 5.26/4.73 (xuntil2p8(s170)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8796, 8293, 26432, 26409])).
% 5.26/4.73 tff(26434,plain,
% 5.26/4.73 (until2p7(s171)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8790, 26433])).
% 5.26/4.73 tff(26435,plain,
% 5.26/4.73 (always3(s172)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[4010, 26404])).
% 5.26/4.73 tff(26436,plain,
% 5.26/4.73 (~m_main_v_state(s172, c_busy)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[22880, 145, 26435])).
% 5.26/4.73 tff(26437,plain,
% 5.26/4.73 (m_main_v_state(s171, c_ready)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[22884, 188, 26405])).
% 5.26/4.73 tff(26438,plain,
% 5.26/4.73 (~m_main_v_request(s171)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[22893, 26437, 26436])).
% 5.26/4.73 tff(26439,plain,
% 5.26/4.73 (~node4(s171)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[22897, 63, 26438])).
% 5.26/4.73 tff(26440,plain,
% 5.26/4.73 (xuntil2p8(s171) | (~until2p7(s171))),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8784, 8293, 26439])).
% 5.26/4.73 tff(26441,plain,
% 5.26/4.73 (xuntil2p8(s171)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[26440, 26434])).
% 5.26/4.73 tff(26442,plain,
% 5.26/4.73 (until2p7(s172)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8778, 26441])).
% 5.26/4.73 tff(26443,plain,
% 5.26/4.73 (always3(s173)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[3998, 26435])).
% 5.26/4.73 tff(26444,plain,
% 5.26/4.73 (always3(s174)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[3986, 26443])).
% 5.26/4.73 tff(26445,plain,
% 5.26/4.73 (always3(s175)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[3973, 26444])).
% 5.26/4.73 tff(26446,plain,
% 5.26/4.73 (~m_main_v_state(s175, c_busy)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[22998, 145, 26445])).
% 5.26/4.73 tff(26447,plain,
% 5.26/4.73 (~m_main_v_state(s174, c_busy)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[22810, 145, 26444])).
% 5.26/4.73 tff(26448,plain,
% 5.26/4.73 (m_main_v_state(s174, c_ready)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[23019, 188, 26447])).
% 5.26/4.73 tff(26449,plain,
% 5.26/4.73 (~m_main_v_request(s174)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[23014, 26448, 26446])).
% 5.26/4.73 tff(26450,plain,
% 5.26/4.73 (~node4(s174)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[23005, 63, 26449])).
% 5.26/4.73 tff(26451,assumption,(~m_main_v_state(s176, c_busy)), introduced(assumption)).
% 5.26/4.73 tff(26452,plain,
% 5.26/4.73 (m_main_v_state(s175, c_ready)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[23152, 188, 26446])).
% 5.26/4.73 tff(26453,plain,
% 5.26/4.73 (~m_main_v_request(s175)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[23146, 26452, 26451])).
% 5.26/4.73 tff(26454,plain,
% 5.26/4.73 (~node4(s175)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[23137, 63, 26453])).
% 5.26/4.73 tff(26455,assumption,(~xuntil2p8(s175)), introduced(assumption)).
% 5.26/4.73 tff(26456,plain,
% 5.26/4.73 (node4(s175) | (~until2p7(s175))),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8737, 8293, 26455])).
% 5.26/4.73 tff(26457,plain,
% 5.26/4.73 (~until2p7(s175)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[26456, 26454])).
% 5.26/4.73 tff(26458,plain,
% 5.26/4.73 (~xuntil2p8(s174)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8743, 26457])).
% 5.26/4.73 tff(26459,plain,
% 5.26/4.73 (~until2p7(s174)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8748, 8293, 26458, 26450])).
% 5.26/4.73 tff(26460,plain,
% 5.26/4.73 (~xuntil2p8(s173)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[8754, 26459])).
% 5.26/4.73 tff(26461,plain,
% 5.26/4.73 (~m_main_v_state(s173, c_busy)),
% 5.26/4.73 inference(unit_resolution,[status(thm)],[22801, 145, 26443])).
% 5.26/4.74 tff(26462,plain,
% 5.26/4.74 (m_main_v_state(s173, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[23919, 26461])).
% 5.26/4.74 tff(26463,plain,
% 5.26/4.74 (~m_main_v_request(s173)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22826, 26462, 26447])).
% 5.26/4.74 tff(26464,plain,
% 5.26/4.74 (~node4(s173)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22817, 63, 26463])).
% 5.26/4.74 tff(26465,plain,
% 5.26/4.74 (xuntil2p8(s173) | (~until2p7(s173))),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8760, 8293, 26464])).
% 5.26/4.74 tff(26466,plain,
% 5.26/4.74 (~until2p7(s173)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26465, 26460])).
% 5.26/4.74 tff(26467,plain,
% 5.26/4.74 (~xuntil2p8(s172)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8766, 26466])).
% 5.26/4.74 tff(26468,plain,
% 5.26/4.74 (m_main_v_state(s172, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22948, 188, 26436])).
% 5.26/4.74 tff(26469,plain,
% 5.26/4.74 (~m_main_v_request(s172)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22942, 26468, 26461])).
% 5.26/4.74 tff(26470,plain,
% 5.26/4.74 (~node4(s172)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22933, 63, 26469])).
% 5.26/4.74 tff(26471,plain,
% 5.26/4.74 (xuntil2p8(s172) | (~until2p7(s172))),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8772, 8293, 26470])).
% 5.26/4.74 tff(26472,plain,
% 5.26/4.74 ($false),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26471, 26467, 26442])).
% 5.26/4.74 tff(26473,plain,((~trans(s199, s164)) | xuntil2p8(s175) | m_main_v_state(s176, c_busy) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.26/4.74 tff(26474,plain,
% 5.26/4.74 (~trans(s199, s164)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26473, 26396, 26387, 11264])).
% 5.26/4.74 tff(26475,plain,
% 5.26/4.74 (~always3(s144)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4334, 25571])).
% 5.26/4.74 tff(26476,plain,
% 5.26/4.74 (~trans(s199, s144)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26028, 26475])).
% 5.26/4.74 tff(26477,plain,
% 5.26/4.74 (~always3(s143)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4968, 26475])).
% 5.26/4.74 tff(26478,plain,
% 5.26/4.74 (~trans(s199, s143)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26040, 26477])).
% 5.26/4.74 tff(26479,plain,
% 5.26/4.74 (~always3(s169)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4034, 25921])).
% 5.26/4.74 tff(26480,plain,
% 5.26/4.74 (~always3(s168)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4046, 26479])).
% 5.26/4.74 tff(26481,plain,
% 5.26/4.74 (~always3(s167)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4058, 26480])).
% 5.26/4.74 tff(26482,plain,
% 5.26/4.74 (~always3(s166)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4070, 26481])).
% 5.26/4.74 tff(26483,plain,
% 5.26/4.74 (~always3(s165)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4082, 26482])).
% 5.26/4.74 tff(26484,plain,
% 5.26/4.74 (~trans(s199, s168)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25805, 26480])).
% 5.26/4.74 tff(26485,plain,
% 5.26/4.74 (~trans(s199, s166)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25764, 26482])).
% 5.26/4.74 tff(26486,plain,
% 5.26/4.74 (~trans(s199, s169)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25965, 26479])).
% 5.26/4.74 tff(26487,plain,
% 5.26/4.74 (~always3(s174)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[3973, 25997])).
% 5.26/4.74 tff(26488,plain,
% 5.26/4.74 (~always3(s173)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[3986, 26487])).
% 5.26/4.74 tff(26489,plain,
% 5.26/4.74 (~always3(s172)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[3998, 26488])).
% 5.26/4.74 tff(26490,plain,
% 5.26/4.74 (~always3(s171)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4010, 26489])).
% 5.26/4.74 tff(26491,plain,
% 5.26/4.74 (~always3(s170)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4022, 26490])).
% 5.26/4.74 tff(26492,plain,
% 5.26/4.74 (~always3(s169)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4034, 26491])).
% 5.26/4.74 tff(26493,plain,
% 5.26/4.74 (~always3(s168)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4046, 26492])).
% 5.26/4.74 tff(26494,plain,
% 5.26/4.74 (~always3(s167)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4058, 26493])).
% 5.26/4.74 tff(26495,plain,
% 5.26/4.74 (~always3(s166)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4070, 26494])).
% 5.26/4.74 tff(26496,plain,
% 5.26/4.74 (~always3(s165)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4082, 26495])).
% 5.26/4.74 tff(26497,plain,
% 5.26/4.74 (~trans(s199, s168)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25805, 26493])).
% 5.26/4.74 tff(26498,plain,
% 5.26/4.74 (~trans(s199, s166)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25764, 26495])).
% 5.26/4.74 tff(26499,plain,
% 5.26/4.74 (~trans(s199, s169)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25965, 26492])).
% 5.26/4.74 tff(26500,plain,
% 5.26/4.74 (~trans(s199, s174)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25855, 26487])).
% 5.26/4.74 tff(26501,plain,
% 5.26/4.74 (~trans(s199, s170)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25930, 26491])).
% 5.26/4.74 tff(26502,plain,
% 5.26/4.74 (~trans(s199, s171)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25995, 26490])).
% 5.26/4.74 tff(26503,plain,
% 5.26/4.74 (~trans(s199, s173)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25953, 26488])).
% 5.26/4.74 tff(26504,plain,
% 5.26/4.74 (~trans(s199, s172)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25943, 26489])).
% 5.26/4.74 tff(26505,plain,
% 5.26/4.74 (~trans(s199, s175)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26006, 25997])).
% 5.26/4.74 tff(26506,plain,
% 5.26/4.74 (~trans(s199, s176)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[12923, 26395, 11264])).
% 5.26/4.74 tff(26507,plain,
% 5.26/4.74 (always3(s147)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25753, 11320])).
% 5.26/4.74 tff(26508,plain,
% 5.26/4.74 (always3(s148)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4298, 26507])).
% 5.26/4.74 tff(26509,plain,
% 5.26/4.74 (always3(s149)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4286, 26508])).
% 5.26/4.74 tff(26510,plain,
% 5.26/4.74 (always3(s150)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4274, 26509])).
% 5.26/4.74 tff(26511,plain,
% 5.26/4.74 (always3(s151)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4262, 26510])).
% 5.26/4.74 tff(26512,plain,
% 5.26/4.74 (always3(s152)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4250, 26511])).
% 5.26/4.74 tff(26513,plain,
% 5.26/4.74 (always3(s153)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4238, 26512])).
% 5.26/4.74 tff(26514,plain,
% 5.26/4.74 (always3(s154)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4226, 26513])).
% 5.26/4.74 tff(26515,plain,
% 5.26/4.74 (always3(s155)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4214, 26514])).
% 5.26/4.74 tff(26516,plain,
% 5.26/4.74 (~m_main_v_state(s155, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21693, 145, 26515])).
% 5.26/4.74 tff(26517,plain,
% 5.26/4.74 (~m_main_v_state(s154, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9165, 145, 26514])).
% 5.26/4.74 tff(26518,plain,
% 5.26/4.74 (m_main_v_state(s154, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21733, 188, 26517])).
% 5.26/4.74 tff(26519,plain,
% 5.26/4.74 (~m_main_v_request(s154)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21727, 26518, 26516])).
% 5.26/4.74 tff(26520,plain,
% 5.26/4.74 (~node4(s154)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21718, 63, 26519])).
% 5.26/4.74 tff(26521,plain,
% 5.26/4.74 (~m_main_v_state(s151, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21839, 145, 26511])).
% 5.26/4.74 tff(26522,plain,
% 5.26/4.74 (~m_main_v_state(s150, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21867, 145, 26510])).
% 5.26/4.74 tff(26523,plain,
% 5.26/4.74 (m_main_v_state(s150, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21891, 188, 26522])).
% 5.26/4.74 tff(26524,plain,
% 5.26/4.74 (~m_main_v_request(s150)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21886, 26523, 26521])).
% 5.26/4.74 tff(26525,plain,
% 5.26/4.74 (~node4(s150)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21877, 63, 26524])).
% 5.26/4.74 tff(26526,plain,
% 5.26/4.74 (~m_main_v_state(s149, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9287, 145, 26509])).
% 5.26/4.74 tff(26527,plain,
% 5.26/4.74 (m_main_v_state(s149, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[24102, 26526])).
% 5.26/4.74 tff(26528,plain,
% 5.26/4.74 (~m_main_v_request(s149)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21912, 26527, 26522])).
% 5.26/4.74 tff(26529,plain,
% 5.26/4.74 (~node4(s149)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21903, 63, 26528])).
% 5.26/4.74 tff(26530,plain,
% 5.26/4.74 (until2p7(s147)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[11328, 11320, 11264])).
% 5.26/4.74 tff(26531,plain,
% 5.26/4.74 (xuntil2p8(s147)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[23778, 26530])).
% 5.26/4.74 tff(26532,plain,
% 5.26/4.74 (until2p7(s148)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9318, 26531])).
% 5.26/4.74 tff(26533,plain,
% 5.26/4.74 (xuntil2p8(s148)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9313, 26532])).
% 5.26/4.74 tff(26534,plain,
% 5.26/4.74 (until2p7(s149)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9273, 26533])).
% 5.26/4.74 tff(26535,plain,
% 5.26/4.74 (node4(s149) | xuntil2p8(s149)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9267, 8293, 26534])).
% 5.26/4.74 tff(26536,plain,
% 5.26/4.74 (xuntil2p8(s149)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26535, 26529])).
% 5.26/4.74 tff(26537,plain,
% 5.26/4.74 (until2p7(s150)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9261, 26536])).
% 5.26/4.74 tff(26538,plain,
% 5.26/4.74 (xuntil2p8(s150)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9255, 8293, 26537, 26525])).
% 5.26/4.74 tff(26539,plain,
% 5.26/4.74 (until2p7(s151)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9249, 26538])).
% 5.26/4.74 tff(26540,plain,
% 5.26/4.74 (m_main_v_state(s151, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[24065, 26521])).
% 5.26/4.74 tff(26541,plain,
% 5.26/4.74 (~m_main_v_state(s152, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9220, 145, 26512])).
% 5.26/4.74 tff(26542,plain,
% 5.26/4.74 (~m_main_v_request(s151)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21852, 26541, 26540])).
% 5.26/4.74 tff(26543,plain,
% 5.26/4.74 (~node4(s151)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21856, 63, 26542])).
% 5.26/4.74 tff(26544,plain,
% 5.26/4.74 (xuntil2p8(s151) | (~until2p7(s151))),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9243, 8293, 26543])).
% 5.26/4.74 tff(26545,plain,
% 5.26/4.74 (xuntil2p8(s151)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26544, 26539])).
% 5.26/4.74 tff(26546,plain,
% 5.26/4.74 (until2p7(s152)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9235, 26545])).
% 5.26/4.74 tff(26547,plain,
% 5.26/4.74 (xuntil2p8(s152)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9230, 26546])).
% 5.26/4.74 tff(26548,plain,
% 5.26/4.74 (until2p7(s153)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9196, 26547])).
% 5.26/4.74 tff(26549,plain,
% 5.26/4.74 (xuntil2p8(s153)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9191, 26548])).
% 5.26/4.74 tff(26550,plain,
% 5.26/4.74 (until2p7(s154)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9151, 26549])).
% 5.26/4.74 tff(26551,plain,
% 5.26/4.74 (xuntil2p8(s154)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9145, 8293, 26550, 26520])).
% 5.26/4.74 tff(26552,plain,
% 5.26/4.74 (until2p7(s155)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9139, 26551])).
% 5.26/4.74 tff(26553,plain,
% 5.26/4.74 (always3(s156)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4202, 26515])).
% 5.26/4.74 tff(26554,plain,
% 5.26/4.74 (~m_main_v_state(s156, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21663, 145, 26553])).
% 5.26/4.74 tff(26555,plain,
% 5.26/4.74 (m_main_v_state(s155, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21698, 188, 26516])).
% 5.26/4.74 tff(26556,plain,
% 5.26/4.74 (~m_main_v_request(s155)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21707, 26555, 26554])).
% 5.26/4.74 tff(26557,plain,
% 5.26/4.74 (~node4(s155)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21711, 63, 26556])).
% 5.26/4.74 tff(26558,plain,
% 5.26/4.74 (xuntil2p8(s155) | (~until2p7(s155))),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9133, 8293, 26557])).
% 5.26/4.74 tff(26559,plain,
% 5.26/4.74 (xuntil2p8(s155)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26558, 26552])).
% 5.26/4.74 tff(26560,plain,
% 5.26/4.74 (until2p7(s156)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9127, 26559])).
% 5.26/4.74 tff(26561,plain,
% 5.26/4.74 (always3(s157)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4190, 26553])).
% 5.26/4.74 tff(26562,plain,
% 5.26/4.74 (~m_main_v_state(s157, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21636, 145, 26561])).
% 5.26/4.74 tff(26563,plain,
% 5.26/4.74 (m_main_v_state(s156, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21667, 188, 26554])).
% 5.26/4.74 tff(26564,plain,
% 5.26/4.74 (~m_main_v_request(s156)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21751, 26563, 26562])).
% 5.26/4.74 tff(26565,plain,
% 5.26/4.74 (~node4(s156)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21742, 63, 26564])).
% 5.26/4.74 tff(26566,plain,
% 5.26/4.74 (xuntil2p8(s156) | (~until2p7(s156))),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9121, 8293, 26565])).
% 5.26/4.74 tff(26567,plain,
% 5.26/4.74 (xuntil2p8(s156)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26566, 26560])).
% 5.26/4.74 tff(26568,plain,
% 5.26/4.74 (until2p7(s157)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9115, 26567])).
% 5.26/4.74 tff(26569,plain,
% 5.26/4.74 (always3(s158)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4178, 26561])).
% 5.26/4.74 tff(26570,plain,
% 5.26/4.74 (~m_main_v_state(s158, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21560, 145, 26569])).
% 5.26/4.74 tff(26571,plain,
% 5.26/4.74 (m_main_v_state(s157, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21640, 188, 26562])).
% 5.26/4.74 tff(26572,plain,
% 5.26/4.74 (~m_main_v_request(s157)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21649, 26571, 26570])).
% 5.26/4.74 tff(26573,plain,
% 5.26/4.74 (~node4(s157)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21653, 63, 26572])).
% 5.26/4.74 tff(26574,plain,
% 5.26/4.74 (xuntil2p8(s157) | (~until2p7(s157))),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9109, 8293, 26573])).
% 5.26/4.74 tff(26575,plain,
% 5.26/4.74 (xuntil2p8(s157)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26574, 26568])).
% 5.26/4.74 tff(26576,plain,
% 5.26/4.74 (until2p7(s158)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9103, 26575])).
% 5.26/4.74 tff(26577,plain,
% 5.26/4.74 (always3(s159)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4166, 26569])).
% 5.26/4.74 tff(26578,plain,
% 5.26/4.74 (~m_main_v_state(s159, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21547, 145, 26577])).
% 5.26/4.74 tff(26579,plain,
% 5.26/4.74 (~node4(s158)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21625, 26578])).
% 5.26/4.74 tff(26580,plain,
% 5.26/4.74 (xuntil2p8(s158) | (~until2p7(s158))),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9097, 8293, 26579])).
% 5.26/4.74 tff(26581,plain,
% 5.26/4.74 (xuntil2p8(s158)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26580, 26576])).
% 5.26/4.74 tff(26582,plain,
% 5.26/4.74 (until2p7(s159)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9091, 26581])).
% 5.26/4.74 tff(26583,plain,
% 5.26/4.74 (always3(s160)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4154, 26577])).
% 5.26/4.74 tff(26584,plain,
% 5.26/4.74 (~m_main_v_state(s160, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9063, 145, 26583])).
% 5.26/4.74 tff(26585,plain,
% 5.26/4.74 (m_main_v_state(s158, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21583, 26570])).
% 5.26/4.74 tff(26586,plain,
% 5.26/4.74 (m_main_v_state(s159, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21609, 26578, 26585])).
% 5.26/4.74 tff(26587,plain,
% 5.26/4.74 (~m_main_v_request(s159)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21540, 26586, 26584])).
% 5.26/4.74 tff(26588,plain,
% 5.26/4.74 (~node4(s159)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21510, 63, 26587])).
% 5.26/4.74 tff(26589,plain,
% 5.26/4.74 (xuntil2p8(s159) | (~until2p7(s159))),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9085, 8293, 26588])).
% 5.26/4.74 tff(26590,plain,
% 5.26/4.74 (xuntil2p8(s159)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26589, 26582])).
% 5.26/4.74 tff(26591,plain,
% 5.26/4.74 (until2p7(s160)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9078, 26590])).
% 5.26/4.74 tff(26592,plain,
% 5.26/4.74 (xuntil2p8(s160)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9073, 26591])).
% 5.26/4.74 tff(26593,plain,
% 5.26/4.74 (until2p7(s161)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9033, 26592])).
% 5.26/4.74 tff(26594,plain,
% 5.26/4.74 (always3(s161)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4142, 26583])).
% 5.26/4.74 tff(26595,plain,
% 5.26/4.74 (always3(s162)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4130, 26594])).
% 5.26/4.74 tff(26596,plain,
% 5.26/4.74 (~m_main_v_state(s162, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4583, 145, 26595])).
% 5.26/4.74 tff(26597,plain,
% 5.26/4.74 (~m_main_v_state(s161, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9047, 145, 26594])).
% 5.26/4.74 tff(26598,plain,
% 5.26/4.74 (m_main_v_state(s161, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21448, 188, 26597])).
% 5.26/4.74 tff(26599,plain,
% 5.26/4.74 (~m_main_v_request(s161)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21457, 26598, 26596])).
% 5.26/4.74 tff(26600,plain,
% 5.26/4.74 (~node4(s161)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[21461, 63, 26599])).
% 5.26/4.74 tff(26601,plain,
% 5.26/4.74 (xuntil2p8(s161) | (~until2p7(s161))),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9027, 8293, 26600])).
% 5.26/4.74 tff(26602,plain,
% 5.26/4.74 (xuntil2p8(s161)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26601, 26593])).
% 5.26/4.74 tff(26603,plain,
% 5.26/4.74 (until2p7(s162)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9020, 26602])).
% 5.26/4.74 tff(26604,plain,
% 5.26/4.74 (xuntil2p8(s162)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9015, 26603])).
% 5.26/4.74 tff(26605,plain,
% 5.26/4.74 (until2p7(s163)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9010, 26604])).
% 5.26/4.74 tff(26606,plain,
% 5.26/4.74 (always3(s163)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4118, 26595])).
% 5.26/4.74 tff(26607,plain,
% 5.26/4.74 (always3(s164)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4106, 26606])).
% 5.26/4.74 tff(26608,plain,
% 5.26/4.74 (~m_main_v_state(s164, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8980, 145, 26607])).
% 5.26/4.74 tff(26609,plain,
% 5.26/4.74 (~m_main_v_state(s163, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4567, 145, 26606])).
% 5.26/4.74 tff(26610,plain,
% 5.26/4.74 (m_main_v_state(s163, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22391, 188, 26609])).
% 5.26/4.74 tff(26611,plain,
% 5.26/4.74 (~m_main_v_request(s163)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22386, 26610, 26608])).
% 5.26/4.74 tff(26612,plain,
% 5.26/4.74 (~node4(s163)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22377, 63, 26611])).
% 5.26/4.74 tff(26613,plain,
% 5.26/4.74 (xuntil2p8(s163) | (~until2p7(s163))),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[9004, 8293, 26612])).
% 5.26/4.74 tff(26614,plain,
% 5.26/4.74 (xuntil2p8(s163)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26613, 26605])).
% 5.26/4.74 tff(26615,plain,
% 5.26/4.74 (until2p7(s164)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8995, 26614])).
% 5.26/4.74 tff(26616,plain,
% 5.26/4.74 (always3(s165)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4094, 26607])).
% 5.26/4.74 tff(26617,plain,
% 5.26/4.74 (always3(s166)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4082, 26616])).
% 5.26/4.74 tff(26618,plain,
% 5.26/4.74 (always3(s167)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4070, 26617])).
% 5.26/4.74 tff(26619,plain,
% 5.26/4.74 (always3(s168)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4058, 26618])).
% 5.26/4.74 tff(26620,plain,
% 5.26/4.74 (always3(s169)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4046, 26619])).
% 5.26/4.74 tff(26621,plain,
% 5.26/4.74 (always3(s170)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4034, 26620])).
% 5.26/4.74 tff(26622,plain,
% 5.26/4.74 (always3(s171)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4022, 26621])).
% 5.26/4.74 tff(26623,plain,
% 5.26/4.74 (always3(s172)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4010, 26622])).
% 5.26/4.74 tff(26624,plain,
% 5.26/4.74 (always3(s173)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[3998, 26623])).
% 5.26/4.74 tff(26625,plain,
% 5.26/4.74 (always3(s174)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[3986, 26624])).
% 5.26/4.74 tff(26626,plain,
% 5.26/4.74 (always3(s175)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[3973, 26625])).
% 5.26/4.74 tff(26627,plain,
% 5.26/4.74 (~m_main_v_state(s175, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22998, 145, 26626])).
% 5.26/4.74 tff(26628,plain,
% 5.26/4.74 (~m_main_v_state(s174, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22810, 145, 26625])).
% 5.26/4.74 tff(26629,plain,
% 5.26/4.74 (m_main_v_state(s174, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[23019, 188, 26628])).
% 5.26/4.74 tff(26630,plain,
% 5.26/4.74 (~m_main_v_request(s174)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[23014, 26629, 26627])).
% 5.26/4.74 tff(26631,plain,
% 5.26/4.74 (~node4(s174)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[23005, 63, 26630])).
% 5.26/4.74 tff(26632,plain,
% 5.26/4.74 (m_main_v_state(s175, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[23152, 188, 26627])).
% 5.26/4.74 tff(26633,plain,
% 5.26/4.74 (~m_main_v_request(s175)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[23146, 26632, 26451])).
% 5.26/4.74 tff(26634,plain,
% 5.26/4.74 (~node4(s175)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[23137, 63, 26633])).
% 5.26/4.74 tff(26635,plain,
% 5.26/4.74 (~until2p7(s175)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26456, 26634])).
% 5.26/4.74 tff(26636,plain,
% 5.26/4.74 (~xuntil2p8(s174)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8743, 26635])).
% 5.26/4.74 tff(26637,plain,
% 5.26/4.74 (~until2p7(s174)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8748, 8293, 26636, 26631])).
% 5.26/4.74 tff(26638,plain,
% 5.26/4.74 (~xuntil2p8(s173)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8754, 26637])).
% 5.26/4.74 tff(26639,plain,
% 5.26/4.74 (~m_main_v_state(s173, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22801, 145, 26624])).
% 5.26/4.74 tff(26640,plain,
% 5.26/4.74 (m_main_v_state(s173, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[23919, 26639])).
% 5.26/4.74 tff(26641,plain,
% 5.26/4.74 (~m_main_v_request(s173)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22826, 26640, 26628])).
% 5.26/4.74 tff(26642,plain,
% 5.26/4.74 (~node4(s173)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22817, 63, 26641])).
% 5.26/4.74 tff(26643,plain,
% 5.26/4.74 (xuntil2p8(s173) | (~until2p7(s173))),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8760, 8293, 26642])).
% 5.26/4.74 tff(26644,plain,
% 5.26/4.74 (~until2p7(s173)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26643, 26638])).
% 5.26/4.74 tff(26645,plain,
% 5.26/4.74 (~xuntil2p8(s172)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8766, 26644])).
% 5.26/4.74 tff(26646,plain,
% 5.26/4.74 (~m_main_v_state(s172, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22880, 145, 26623])).
% 5.26/4.74 tff(26647,plain,
% 5.26/4.74 (m_main_v_state(s172, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22948, 188, 26646])).
% 5.26/4.74 tff(26648,plain,
% 5.26/4.74 (~m_main_v_request(s172)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22942, 26647, 26639])).
% 5.26/4.74 tff(26649,plain,
% 5.26/4.74 (~node4(s172)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22933, 63, 26648])).
% 5.26/4.74 tff(26650,plain,
% 5.26/4.74 (xuntil2p8(s172) | (~until2p7(s172))),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8772, 8293, 26649])).
% 5.26/4.74 tff(26651,plain,
% 5.26/4.74 (~until2p7(s172)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26650, 26645])).
% 5.26/4.74 tff(26652,plain,
% 5.26/4.74 (~xuntil2p8(s171)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8778, 26651])).
% 5.26/4.74 tff(26653,plain,
% 5.26/4.74 (~m_main_v_state(s171, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22872, 145, 26622])).
% 5.26/4.74 tff(26654,plain,
% 5.26/4.74 (m_main_v_state(s171, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22884, 188, 26653])).
% 5.26/4.74 tff(26655,plain,
% 5.26/4.74 (~m_main_v_request(s171)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22893, 26654, 26646])).
% 5.26/4.74 tff(26656,plain,
% 5.26/4.74 (~node4(s171)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22897, 63, 26655])).
% 5.26/4.74 tff(26657,plain,
% 5.26/4.74 (xuntil2p8(s171) | (~until2p7(s171))),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8784, 8293, 26656])).
% 5.26/4.74 tff(26658,plain,
% 5.26/4.74 (~until2p7(s171)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26657, 26652])).
% 5.26/4.74 tff(26659,plain,
% 5.26/4.74 (~xuntil2p8(s170)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8790, 26658])).
% 5.26/4.74 tff(26660,plain,
% 5.26/4.74 (~m_main_v_state(s170, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22921, 145, 26621])).
% 5.26/4.74 tff(26661,plain,
% 5.26/4.74 (m_main_v_state(s170, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22925, 188, 26660])).
% 5.26/4.74 tff(26662,plain,
% 5.26/4.74 (~m_main_v_request(s170)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22913, 26661, 26653])).
% 5.26/4.74 tff(26663,plain,
% 5.26/4.74 (~node4(s170)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22904, 63, 26662])).
% 5.26/4.74 tff(26664,plain,
% 5.26/4.74 (xuntil2p8(s170) | (~until2p7(s170))),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8796, 8293, 26663])).
% 5.26/4.74 tff(26665,plain,
% 5.26/4.74 (~until2p7(s170)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26664, 26659])).
% 5.26/4.74 tff(26666,plain,
% 5.26/4.74 (~xuntil2p8(s169)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8802, 26665])).
% 5.26/4.74 tff(26667,plain,
% 5.26/4.74 (~m_main_v_state(s169, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8828, 145, 26620])).
% 5.26/4.74 tff(26668,plain,
% 5.26/4.74 (m_main_v_state(s169, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[23951, 26667])).
% 5.26/4.74 tff(26669,plain,
% 5.26/4.74 (~m_main_v_request(s169)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22966, 26660, 26668])).
% 5.26/4.74 tff(26670,plain,
% 5.26/4.74 (~node4(s169)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22970, 63, 26669])).
% 5.26/4.74 tff(26671,plain,
% 5.26/4.74 (xuntil2p8(s169) | (~until2p7(s169))),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8808, 8293, 26670])).
% 5.26/4.74 tff(26672,plain,
% 5.26/4.74 (~until2p7(s169)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26671, 26666])).
% 5.26/4.74 tff(26673,plain,
% 5.26/4.74 (~xuntil2p8(s168)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8814, 26672])).
% 5.26/4.74 tff(26674,plain,
% 5.26/4.74 (~until2p7(s168)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8854, 26673])).
% 5.26/4.74 tff(26675,plain,
% 5.26/4.74 (~xuntil2p8(s167)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8859, 26674])).
% 5.26/4.74 tff(26676,plain,
% 5.26/4.74 (~m_main_v_state(s168, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8844, 145, 26619])).
% 5.26/4.74 tff(26677,plain,
% 5.26/4.74 (~m_main_v_state(s167, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8886, 145, 26618])).
% 5.26/4.74 tff(26678,plain,
% 5.26/4.74 (m_main_v_state(s167, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[23981, 26677])).
% 5.26/4.74 tff(26679,plain,
% 5.26/4.74 (~m_main_v_request(s167)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22436, 26678, 26676])).
% 5.26/4.74 tff(26680,plain,
% 5.26/4.74 (~node4(s167)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22427, 63, 26679])).
% 5.26/4.74 tff(26681,plain,
% 5.26/4.74 (xuntil2p8(s167) | (~until2p7(s167))),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8866, 8293, 26680])).
% 5.26/4.74 tff(26682,plain,
% 5.26/4.74 (~until2p7(s167)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26681, 26675])).
% 5.26/4.74 tff(26683,plain,
% 5.26/4.74 (~xuntil2p8(s166)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8872, 26682])).
% 5.26/4.74 tff(26684,plain,
% 5.26/4.74 (~until2p7(s166)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8912, 26683])).
% 5.26/4.74 tff(26685,plain,
% 5.26/4.74 (~xuntil2p8(s165)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8917, 26684])).
% 5.26/4.74 tff(26686,plain,
% 5.26/4.74 (~until2p7(s165)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8951, 26685])).
% 5.26/4.74 tff(26687,plain,
% 5.26/4.74 (~xuntil2p8(s164)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8956, 26686])).
% 5.26/4.74 tff(26688,plain,
% 5.26/4.74 ($false),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8990, 26687, 26615])).
% 5.26/4.74 tff(26689,plain,((~trans(s199, s147)) | xuntil2p8(s175) | m_main_v_state(s176, c_busy) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.26/4.74 tff(26690,plain,
% 5.26/4.74 (~trans(s199, s147)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26689, 26396, 26387, 11264])).
% 5.26/4.74 tff(26691,plain,
% 5.26/4.74 (~trans(s199, s167)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25985, 26494])).
% 5.26/4.74 tff(26692,plain,
% 5.26/4.74 (trans(s199, s165)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26047, 26691, 13665, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 26175, 13641, 26690, 13639, 13638, 13637, 13636, 13635, 13563, 13633, 13632, 13631, 13630, 13507, 13628, 13627, 13626, 26506, 13624, 13623, 13622, 13621, 13620, 13619, 13642, 13617, 13616, 13615, 13661, 13613, 26505, 13611, 13610, 13609, 13608, 26504, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13596, 13595, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 26503, 11264, 25920, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 26502, 13567, 13566, 13565, 13564, 13568, 13562, 13561, 13560, 13559, 26501, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13538, 13537, 13536, 13535, 13534, 13532, 13531, 13530, 13529, 25900, 13527, 13526, 13525, 26317, 26358, 26357, 13521, 26191, 25857, 13518, 13517, 26500, 13515, 13514, 13513, 13512, 13511, 13510, 26499, 13508, 13614, 13506, 13505, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13496, 13495, 13494, 13493, 13492, 13491, 13490, 13489, 13488, 26062, 26061, 25767, 25766, 13440, 26498, 13438, 13437, 26497, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.26/4.74 tff(26693,plain,
% 5.26/4.74 ($false),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25844, 26692, 26496])).
% 5.26/4.74 tff(26694,plain,(always3(s175) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s144) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s143) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s152) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s154) | trans(s199, s163) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | (~xuntil6(s199)) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s149) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s164) | trans(s199, s161) | trans(s199, s153) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s150) | trans(s199, s35) | trans(s199, s157) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s156) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s37) | trans(s199, s145) | trans(s199, s79) | trans(s199, s155) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s162) | trans(s199, s120) | trans(s199, s138) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.26/4.74 tff(26695,plain,
% 5.26/4.74 (always3(s175)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26694, 13538, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13563, 13633, 13632, 13631, 13630, 13507, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13642, 13617, 13616, 13615, 13661, 13613, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13596, 13595, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13568, 13562, 13561, 13560, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13665, 13537, 13536, 13535, 13534, 13532, 13531, 13530, 13529, 13527, 13526, 13525, 13521, 13518, 13517, 13515, 13514, 13513, 13512, 13511, 13510, 13508, 13614, 13506, 13505, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13496, 13495, 13494, 13493, 13492, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.74 tff(26696,plain,
% 5.26/4.74 (~m_main_v_state(s175, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22998, 145, 26695])).
% 5.26/4.74 tff(26697,plain,
% 5.26/4.74 (~trans(s199, s168)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25805, 4047])).
% 5.26/4.74 tff(26698,plain,
% 5.26/4.74 (~trans(s199, s166)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25764, 4071])).
% 5.26/4.74 tff(26699,plain,
% 5.26/4.74 (~trans(s199, s169)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25965, 4035])).
% 5.26/4.74 tff(26700,plain,
% 5.26/4.74 (~trans(s199, s174)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25855, 3975])).
% 5.26/4.74 tff(26701,plain,
% 5.26/4.74 (~trans(s199, s170)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25930, 4023])).
% 5.26/4.74 tff(26702,plain,
% 5.26/4.74 (~trans(s199, s171)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25995, 4011])).
% 5.26/4.74 tff(26703,plain,
% 5.26/4.74 (~trans(s199, s173)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25953, 3987])).
% 5.26/4.74 tff(26704,plain,
% 5.26/4.74 (~trans(s199, s172)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25943, 3999])).
% 5.26/4.74 tff(26705,plain,
% 5.26/4.74 (m_main_v_state(s175, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[23152, 188, 26696])).
% 5.26/4.74 tff(26706,plain,
% 5.26/4.74 (~m_main_v_request(s175)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[23146, 26705, 26387])).
% 5.26/4.74 tff(26707,plain,
% 5.26/4.74 (~node4(s175)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[23137, 63, 26706])).
% 5.26/4.74 tff(26708,plain,
% 5.26/4.74 (node4(s175) | (~until2p7(s175))),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8737, 8293, 26396])).
% 5.26/4.74 tff(26709,plain,
% 5.26/4.74 (~until2p7(s175)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26708, 26707])).
% 5.26/4.74 tff(26710,plain,
% 5.26/4.74 (~trans(s199, s175)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[13352, 26709, 11264])).
% 5.26/4.74 tff(26711,plain,
% 5.26/4.74 (~trans(s199, s167)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25985, 4059])).
% 5.26/4.74 tff(26712,plain,
% 5.26/4.74 (trans(s199, s165)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26047, 26711, 13665, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 26175, 13641, 26690, 13639, 13638, 13637, 13636, 13635, 13563, 13633, 13632, 13631, 13630, 13507, 13628, 13627, 13626, 26506, 13624, 13623, 13622, 13621, 13620, 13619, 13642, 13617, 13616, 13615, 13661, 13613, 26710, 13611, 13610, 13609, 13608, 26704, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13596, 13595, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 26703, 11264, 25920, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 26702, 13567, 13566, 13565, 13564, 13568, 13562, 13561, 13560, 13559, 26701, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13538, 13537, 13536, 13535, 13534, 13532, 13531, 13530, 13529, 25900, 13527, 13526, 13525, 26317, 26358, 26357, 13521, 26191, 25857, 13518, 13517, 26700, 13515, 13514, 13513, 13512, 13511, 13510, 26699, 13508, 13614, 13506, 13505, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13496, 13495, 13494, 13493, 13492, 13491, 13490, 13489, 13488, 26062, 26061, 25767, 25766, 13440, 26698, 13438, 13437, 26697, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.26/4.74 tff(26713,plain,
% 5.26/4.74 ($false),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25844, 26712, 4083])).
% 5.26/4.74 tff(26714,plain,(always3(s174) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s144) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s143) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s152) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s154) | trans(s199, s163) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | (~xuntil6(s199)) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s149) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s164) | trans(s199, s161) | trans(s199, s153) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s150) | trans(s199, s35) | trans(s199, s157) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s156) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s37) | trans(s199, s145) | trans(s199, s79) | trans(s199, s155) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s162) | trans(s199, s120) | trans(s199, s138) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.26/4.74 tff(26715,plain,
% 5.26/4.74 (always3(s174)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26714, 13538, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13563, 13633, 13632, 13631, 13630, 13507, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13642, 13617, 13616, 13615, 13661, 13613, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13596, 13595, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13568, 13562, 13561, 13560, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13665, 13537, 13536, 13535, 13534, 13532, 13531, 13530, 13529, 13527, 13526, 13525, 13521, 13518, 13517, 13515, 13514, 13513, 13512, 13511, 13510, 13508, 13614, 13506, 13505, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13496, 13495, 13494, 13493, 13492, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.74 tff(26716,plain,
% 5.26/4.74 (~m_main_v_state(s174, c_busy)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[22810, 145, 26715])).
% 5.26/4.74 tff(26717,plain,
% 5.26/4.74 (m_main_v_state(s174, c_ready)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[23019, 188, 26716])).
% 5.26/4.74 tff(26718,plain,
% 5.26/4.74 (~m_main_v_request(s174)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[23014, 26717, 26696])).
% 5.26/4.74 tff(26719,plain,
% 5.26/4.74 (~node4(s174)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[23005, 63, 26718])).
% 5.26/4.74 tff(26720,plain,
% 5.26/4.74 (~xuntil2p8(s174)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8743, 26709])).
% 5.26/4.74 tff(26721,plain,
% 5.26/4.74 (node4(s174) | (~until2p7(s174))),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[8748, 8293, 26720])).
% 5.26/4.74 tff(26722,plain,
% 5.26/4.74 (~until2p7(s174)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[26721, 26719])).
% 5.26/4.74 tff(26723,plain,
% 5.26/4.74 (~trans(s199, s174)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[11724, 26722, 11264])).
% 5.26/4.74 tff(26724,plain,
% 5.26/4.74 (~trans(s199, s170)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25930, 25921])).
% 5.26/4.74 tff(26725,plain,
% 5.26/4.74 (~always3(s171)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4010, 25934])).
% 5.26/4.74 tff(26726,plain,
% 5.26/4.74 (~always3(s170)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4022, 26725])).
% 5.26/4.74 tff(26727,plain,
% 5.26/4.74 (~always3(s169)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4034, 26726])).
% 5.26/4.74 tff(26728,plain,
% 5.26/4.74 (~always3(s168)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4046, 26727])).
% 5.26/4.74 tff(26729,plain,
% 5.26/4.74 (~always3(s167)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4058, 26728])).
% 5.26/4.74 tff(26730,plain,
% 5.26/4.74 (~always3(s166)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4070, 26729])).
% 5.26/4.74 tff(26731,plain,
% 5.26/4.74 (~always3(s165)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[4082, 26730])).
% 5.26/4.74 tff(26732,plain,
% 5.26/4.74 (~trans(s199, s168)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25805, 26728])).
% 5.26/4.74 tff(26733,plain,
% 5.26/4.74 (~trans(s199, s166)),
% 5.26/4.74 inference(unit_resolution,[status(thm)],[25764, 26730])).
% 5.26/4.75 tff(26734,plain,
% 5.26/4.75 (~trans(s199, s169)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[25965, 26727])).
% 5.26/4.75 tff(26735,plain,
% 5.26/4.75 (~trans(s199, s170)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[25930, 26726])).
% 5.26/4.75 tff(26736,plain,
% 5.26/4.75 (~trans(s199, s171)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[25995, 26725])).
% 5.26/4.75 tff(26737,plain,
% 5.26/4.75 (~trans(s199, s172)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[25943, 25934])).
% 5.26/4.75 tff(26738,plain,
% 5.26/4.75 (~xuntil2p8(s173)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[8754, 26722])).
% 5.26/4.75 tff(26739,assumption,(~m_main_v_state(s174, c_busy)), introduced(assumption)).
% 5.26/4.75 tff(26740,plain,
% 5.26/4.75 (until2p7(s173)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[12780, 12772, 11264])).
% 5.26/4.75 tff(26741,assumption,(~xuntil2p8(s173)), introduced(assumption)).
% 5.26/4.75 tff(26742,plain,
% 5.26/4.75 (node4(s173) | (~until2p7(s173))),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[8760, 8293, 26741])).
% 5.26/4.75 tff(26743,plain,
% 5.26/4.75 (node4(s173)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[26742, 26740])).
% 5.26/4.75 tff(26744,plain,
% 5.26/4.75 (m_main_v_request(s173)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22817, 63, 26743])).
% 5.26/4.75 tff(26745,plain,
% 5.26/4.75 (~m_main_v_state(s173, c_ready)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22826, 26744, 26739])).
% 5.26/4.75 tff(26746,plain,
% 5.26/4.75 (m_main_v_state(s173, c_busy)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[23919, 26745])).
% 5.26/4.75 tff(26747,plain,
% 5.26/4.75 (always3(s173)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[25953, 12772])).
% 5.26/4.75 tff(26748,plain,
% 5.26/4.75 ($false),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22801, 145, 26747, 26746])).
% 5.26/4.75 tff(26749,plain,((~trans(s199, s173)) | m_main_v_state(s174, c_busy) | xuntil2p8(s173) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.26/4.75 tff(26750,plain,
% 5.26/4.75 (~trans(s199, s173)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[26749, 26716, 26738, 11264])).
% 5.26/4.75 tff(26751,plain,
% 5.26/4.75 (~trans(s199, s167)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[25985, 26729])).
% 5.26/4.75 tff(26752,plain,
% 5.26/4.75 (trans(s199, s165)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[26047, 26751, 13665, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 26175, 13641, 26690, 13639, 13638, 13637, 13636, 13635, 13563, 13633, 13632, 13631, 13630, 13507, 13628, 13627, 13626, 26506, 13624, 13623, 13622, 13621, 13620, 13619, 13642, 13617, 13616, 13615, 13661, 13613, 26710, 13611, 13610, 13609, 13608, 26750, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13596, 13595, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 26737, 11264, 25920, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 26736, 13567, 13566, 13565, 13564, 13568, 13562, 13561, 13560, 13559, 26735, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13538, 13537, 13536, 13535, 13534, 13532, 13531, 13530, 13529, 25900, 13527, 13526, 13525, 26317, 26358, 26357, 13521, 26191, 25857, 13518, 13517, 26723, 13515, 13514, 13513, 13512, 13511, 13510, 26734, 13508, 13614, 13506, 13505, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13496, 13495, 13494, 13493, 13492, 13491, 13490, 13489, 13488, 26062, 26061, 25767, 25766, 13440, 26733, 13438, 13437, 26732, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.26/4.75 tff(26753,plain,
% 5.26/4.75 ($false),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[25844, 26752, 26731])).
% 5.26/4.75 tff(26754,plain,(always3(s172) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s144) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s143) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s152) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s154) | trans(s199, s163) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | (~xuntil6(s199)) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s149) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s164) | trans(s199, s161) | trans(s199, s153) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s150) | trans(s199, s35) | trans(s199, s157) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s156) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s37) | trans(s199, s145) | trans(s199, s79) | trans(s199, s155) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s162) | trans(s199, s120) | trans(s199, s138) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.26/4.75 tff(26755,plain,
% 5.26/4.75 (always3(s172)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[26754, 13538, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13563, 13633, 13632, 13631, 13630, 13507, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13642, 13617, 13616, 13615, 13661, 13613, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13596, 13595, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13568, 13562, 13561, 13560, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13665, 13537, 13536, 13535, 13534, 13532, 13531, 13530, 13529, 13527, 13526, 13525, 13521, 13518, 13517, 13515, 13514, 13513, 13512, 13511, 13510, 13508, 13614, 13506, 13505, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13496, 13495, 13494, 13493, 13492, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.75 tff(26756,plain,
% 5.26/4.75 (always3(s173)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[3998, 26755])).
% 5.26/4.75 tff(26757,plain,
% 5.26/4.75 (~m_main_v_state(s173, c_busy)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22801, 145, 26756])).
% 5.26/4.75 tff(26758,plain,
% 5.26/4.75 (~m_main_v_state(s172, c_busy)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22880, 145, 26755])).
% 5.26/4.75 tff(26759,plain,
% 5.26/4.75 (m_main_v_state(s172, c_ready)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22948, 188, 26758])).
% 5.26/4.75 tff(26760,plain,
% 5.26/4.75 (~m_main_v_request(s172)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22942, 26759, 26757])).
% 5.26/4.75 tff(26761,plain,
% 5.26/4.75 (~node4(s172)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22933, 63, 26760])).
% 5.26/4.75 tff(26762,plain,
% 5.26/4.75 (m_main_v_state(s173, c_ready)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[23919, 26757])).
% 5.26/4.75 tff(26763,plain,
% 5.26/4.75 (~m_main_v_request(s173)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22826, 26762, 26716])).
% 5.26/4.75 tff(26764,plain,
% 5.26/4.75 (~node4(s173)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22817, 63, 26763])).
% 5.26/4.75 tff(26765,plain,
% 5.26/4.75 (node4(s173) | (~until2p7(s173))),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[8760, 8293, 26738])).
% 5.26/4.75 tff(26766,plain,
% 5.26/4.75 (~until2p7(s173)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[26765, 26764])).
% 5.26/4.75 tff(26767,plain,
% 5.26/4.75 (~xuntil2p8(s172)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[8766, 26766])).
% 5.26/4.75 tff(26768,plain,
% 5.26/4.75 (~until2p7(s172)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[8772, 8293, 26767, 26761])).
% 5.26/4.75 tff(26769,plain,
% 5.26/4.75 (~xuntil2p8(s171)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[8778, 26768])).
% 5.26/4.75 tff(26770,assumption,(~m_main_v_state(s172, c_busy)), introduced(assumption)).
% 5.26/4.75 tff(26771,plain,
% 5.26/4.75 (until2p7(s171)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[13341, 13333, 11264])).
% 5.26/4.75 tff(26772,assumption,(~xuntil2p8(s171)), introduced(assumption)).
% 5.26/4.75 tff(26773,plain,
% 5.26/4.75 (node4(s171) | (~until2p7(s171))),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[8784, 8293, 26772])).
% 5.26/4.75 tff(26774,plain,
% 5.26/4.75 (node4(s171)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[26773, 26771])).
% 5.26/4.75 tff(26775,plain,
% 5.26/4.75 (m_main_v_request(s171)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22897, 63, 26774])).
% 5.26/4.75 tff(26776,plain,
% 5.26/4.75 (~m_main_v_state(s171, c_ready)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22893, 26775, 26770])).
% 5.26/4.75 tff(26777,plain,
% 5.26/4.75 (always3(s171)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[25995, 13333])).
% 5.26/4.75 tff(26778,plain,
% 5.26/4.75 (~m_main_v_state(s171, c_busy)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22872, 145, 26777])).
% 5.26/4.75 tff(26779,plain,
% 5.26/4.75 ($false),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22884, 188, 26778, 26776])).
% 5.26/4.75 tff(26780,plain,((~trans(s199, s171)) | m_main_v_state(s172, c_busy) | xuntil2p8(s171) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.26/4.75 tff(26781,plain,
% 5.26/4.75 (~trans(s199, s171)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[26780, 26758, 26769, 11264])).
% 5.26/4.75 tff(26782,plain,
% 5.26/4.75 (~trans(s199, s172)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[12725, 26768, 11264])).
% 5.26/4.75 tff(26783,plain,
% 5.26/4.75 (~trans(s199, s167)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[25985, 26481])).
% 5.26/4.75 tff(26784,plain,
% 5.26/4.75 (trans(s199, s165)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[26047, 26783, 13665, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 26175, 13641, 26690, 13639, 13638, 13637, 13636, 13635, 13563, 13633, 13632, 13631, 13630, 13507, 13628, 13627, 13626, 26506, 13624, 13623, 13622, 13621, 13620, 13619, 13642, 13617, 13616, 13615, 13661, 13613, 26710, 13611, 13610, 13609, 13608, 26750, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13596, 13595, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 26782, 11264, 25920, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 26781, 13567, 13566, 13565, 13564, 13568, 13562, 13561, 13560, 13559, 26724, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13538, 13537, 13536, 13535, 13534, 13532, 13531, 13530, 13529, 25900, 13527, 13526, 13525, 26317, 26358, 26357, 13521, 26191, 25857, 13518, 13517, 26723, 13515, 13514, 13513, 13512, 13511, 13510, 26486, 13508, 13614, 13506, 13505, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13496, 13495, 13494, 13493, 13492, 13491, 13490, 13489, 13488, 26062, 26061, 25767, 25766, 13440, 26485, 13438, 13437, 26484, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.26/4.75 tff(26785,plain,
% 5.26/4.75 ($false),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[25844, 26784, 26483])).
% 5.26/4.75 tff(26786,plain,(always3(s170) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s144) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s143) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s152) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s154) | trans(s199, s163) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | (~xuntil6(s199)) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s149) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s164) | trans(s199, s161) | trans(s199, s153) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s150) | trans(s199, s35) | trans(s199, s157) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s156) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s37) | trans(s199, s145) | trans(s199, s79) | trans(s199, s155) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s162) | trans(s199, s120) | trans(s199, s138) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.26/4.75 tff(26787,plain,
% 5.26/4.75 (always3(s170)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[26786, 13538, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13563, 13633, 13632, 13631, 13630, 13507, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13642, 13617, 13616, 13615, 13661, 13613, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13596, 13595, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13568, 13562, 13561, 13560, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13665, 13537, 13536, 13535, 13534, 13532, 13531, 13530, 13529, 13527, 13526, 13525, 13521, 13518, 13517, 13515, 13514, 13513, 13512, 13511, 13510, 13508, 13614, 13506, 13505, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13496, 13495, 13494, 13493, 13492, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.75 tff(26788,plain,
% 5.26/4.75 (~m_main_v_state(s170, c_busy)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22921, 145, 26787])).
% 5.26/4.75 tff(26789,plain,
% 5.26/4.75 (~trans(s199, s168)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[25805, 22450])).
% 5.26/4.75 tff(26790,plain,
% 5.26/4.75 (~trans(s199, s166)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[25764, 22452])).
% 5.26/4.75 tff(26791,plain,
% 5.26/4.75 (~trans(s199, s169)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[25965, 22449])).
% 5.26/4.75 tff(26792,plain,
% 5.26/4.75 (always3(s171)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[4022, 26787])).
% 5.26/4.75 tff(26793,plain,
% 5.26/4.75 (~m_main_v_state(s171, c_busy)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22872, 145, 26792])).
% 5.26/4.75 tff(26794,plain,
% 5.26/4.75 (m_main_v_state(s170, c_ready)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22925, 188, 26788])).
% 5.26/4.75 tff(26795,plain,
% 5.26/4.75 (~m_main_v_request(s170)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22913, 26794, 26793])).
% 5.26/4.75 tff(26796,plain,
% 5.26/4.75 (~node4(s170)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22904, 63, 26795])).
% 5.26/4.75 tff(26797,plain,
% 5.26/4.75 (m_main_v_state(s171, c_ready)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22884, 188, 26793])).
% 5.26/4.75 tff(26798,plain,
% 5.26/4.75 (~m_main_v_request(s171)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22893, 26797, 26758])).
% 5.26/4.75 tff(26799,plain,
% 5.26/4.75 (~node4(s171)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[22897, 63, 26798])).
% 5.26/4.75 tff(26800,plain,
% 5.26/4.75 (node4(s171) | (~until2p7(s171))),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[8784, 8293, 26769])).
% 5.26/4.75 tff(26801,plain,
% 5.26/4.75 (~until2p7(s171)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[26800, 26799])).
% 5.26/4.75 tff(26802,plain,
% 5.26/4.75 (~xuntil2p8(s170)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[8790, 26801])).
% 5.26/4.75 tff(26803,plain,
% 5.26/4.75 (~until2p7(s170)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[8796, 8293, 26802, 26796])).
% 5.26/4.75 tff(26804,plain,
% 5.26/4.75 (~trans(s199, s170)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[12494, 26803, 11264])).
% 5.26/4.75 tff(26805,plain,
% 5.26/4.75 (~trans(s199, s167)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[25985, 22451])).
% 5.26/4.75 tff(26806,plain,
% 5.26/4.75 (trans(s199, s165)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[26047, 26805, 13665, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 26175, 13641, 26690, 13639, 13638, 13637, 13636, 13635, 13563, 13633, 13632, 13631, 13630, 13507, 13628, 13627, 13626, 26506, 13624, 13623, 13622, 13621, 13620, 13619, 13642, 13617, 13616, 13615, 13661, 13613, 26710, 13611, 13610, 13609, 13608, 26750, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13596, 13595, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 26782, 11264, 25920, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 26781, 13567, 13566, 13565, 13564, 13568, 13562, 13561, 13560, 13559, 26804, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13538, 13537, 13536, 13535, 13534, 13532, 13531, 13530, 13529, 25900, 13527, 13526, 13525, 26317, 26358, 26357, 13521, 26191, 25857, 13518, 13517, 26723, 13515, 13514, 13513, 13512, 13511, 13510, 26791, 13508, 13614, 13506, 13505, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13496, 13495, 13494, 13493, 13492, 13491, 13490, 13489, 13488, 26062, 26061, 25767, 25766, 13440, 26790, 13438, 13437, 26789, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.26/4.75 tff(26807,plain,
% 5.26/4.75 ($false),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[25844, 26806, 22453])).
% 5.26/4.75 tff(26808,plain,(always3(s169) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s144) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s143) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s152) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s154) | trans(s199, s163) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | (~xuntil6(s199)) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s149) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s164) | trans(s199, s161) | trans(s199, s153) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s150) | trans(s199, s35) | trans(s199, s157) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s156) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s37) | trans(s199, s145) | trans(s199, s79) | trans(s199, s155) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s162) | trans(s199, s120) | trans(s199, s138) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.26/4.75 tff(26809,plain,
% 5.26/4.75 (always3(s169)),
% 5.26/4.75 inference(unit_resolution,[status(thm)],[26808, 13538, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13563, 13633, 13632, 13631, 13630, 13507, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13642, 13617, 13616, 13615, 13661, 13613, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13596, 13595, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13568, 13562, 13561, 13560, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13665, 13537, 13536, 13535, 13534, 13532, 13531, 13530, 13529, 13527, 13526, 13525, 13521, 13518, 13517, 13515, 13514, 13513, 13512, 13511, 13510, 13508, 13614, 13506, 13505, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13496, 13495, 13494, 13493, 13492, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.76 tff(26810,plain,
% 5.26/4.76 (~m_main_v_state(s169, c_busy)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8828, 145, 26809])).
% 5.26/4.76 tff(26811,plain,
% 5.26/4.76 (m_main_v_state(s169, c_ready)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[23951, 26810])).
% 5.26/4.76 tff(26812,plain,
% 5.26/4.76 (~m_main_v_request(s169)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22966, 26811, 26788])).
% 5.26/4.76 tff(26813,plain,
% 5.26/4.76 (~node4(s169)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22970, 63, 26812])).
% 5.26/4.76 tff(26814,plain,
% 5.26/4.76 (~xuntil2p8(s169)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8802, 26803])).
% 5.26/4.76 tff(26815,plain,
% 5.26/4.76 (node4(s169) | (~until2p7(s169))),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8808, 8293, 26814])).
% 5.26/4.76 tff(26816,plain,
% 5.26/4.76 (~until2p7(s169)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[26815, 26813])).
% 5.26/4.76 tff(26817,plain,
% 5.26/4.76 (~xuntil2p8(s168)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8814, 26816])).
% 5.26/4.76 tff(26818,plain,
% 5.26/4.76 (~until2p7(s168)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8854, 26817])).
% 5.26/4.76 tff(26819,plain,
% 5.26/4.76 (~trans(s199, s168)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[13088, 26818, 11264])).
% 5.26/4.76 tff(26820,plain,
% 5.26/4.76 (~trans(s199, s166)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25764, 22406])).
% 5.26/4.76 tff(26821,plain,
% 5.26/4.76 (~trans(s199, s169)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[12846, 26816, 11264])).
% 5.26/4.76 tff(26822,plain,
% 5.26/4.76 (~trans(s199, s167)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25985, 22401])).
% 5.26/4.76 tff(26823,plain,
% 5.26/4.76 (trans(s199, s165)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[26047, 26822, 13665, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 26175, 13641, 26690, 13639, 13638, 13637, 13636, 13635, 13563, 13633, 13632, 13631, 13630, 13507, 13628, 13627, 13626, 26506, 13624, 13623, 13622, 13621, 13620, 13619, 13642, 13617, 13616, 13615, 13661, 13613, 26710, 13611, 13610, 13609, 13608, 26750, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13596, 13595, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 26782, 11264, 25920, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 26781, 13567, 13566, 13565, 13564, 13568, 13562, 13561, 13560, 13559, 26804, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13538, 13537, 13536, 13535, 13534, 13532, 13531, 13530, 13529, 25900, 13527, 13526, 13525, 26317, 26358, 26357, 13521, 26191, 25857, 13518, 13517, 26723, 13515, 13514, 13513, 13512, 13511, 13510, 26821, 13508, 13614, 13506, 13505, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13496, 13495, 13494, 13493, 13492, 13491, 13490, 13489, 13488, 26062, 26061, 25767, 25766, 13440, 26820, 13438, 13437, 26819, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.26/4.76 tff(26824,plain,
% 5.26/4.76 ($false),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25844, 26823, 22407])).
% 5.26/4.76 tff(26825,plain,(always3(s167) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s144) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s143) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s152) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s154) | trans(s199, s163) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | (~xuntil6(s199)) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s149) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s164) | trans(s199, s161) | trans(s199, s153) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s150) | trans(s199, s35) | trans(s199, s157) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s156) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s37) | trans(s199, s145) | trans(s199, s79) | trans(s199, s155) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s162) | trans(s199, s120) | trans(s199, s138) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.26/4.76 tff(26826,plain,
% 5.26/4.76 ($false),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[26825, 26478, 26476, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 26474, 13633, 13632, 13631, 13630, 22401, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 25715, 13617, 13616, 13615, 25704, 25693, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 25683, 25673, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 25662, 13562, 13561, 25652, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13665, 25642, 25632, 13535, 13534, 13532, 25621, 13530, 25611, 13527, 13526, 13525, 25601, 13518, 13517, 13515, 13514, 13513, 13512, 25591, 13510, 13508, 25581, 13506, 25570, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 25560, 13496, 13495, 25549, 13493, 25536, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.76 tff(26827,plain,(always3(s167) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | (~xuntil6(s199)) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s63) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s128) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s120) | trans(s199, s138) | trans(s199, s38) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.26/4.76 tff(26828,plain,
% 5.26/4.76 (always3(s167)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[26827, 13660, 12474, 13662, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13665, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13517, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 13495, 13493, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.76 tff(26829,plain,
% 5.26/4.76 (always3(s168)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[4058, 26828])).
% 5.26/4.76 tff(26830,plain,
% 5.26/4.76 (always3(s169)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[4046, 26829])).
% 5.26/4.76 tff(26831,plain,
% 5.26/4.76 (always3(s170)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[4034, 26830])).
% 5.26/4.76 tff(26832,plain,
% 5.26/4.76 (always3(s171)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[4022, 26831])).
% 5.26/4.76 tff(26833,plain,
% 5.26/4.76 (always3(s172)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[4010, 26832])).
% 5.26/4.76 tff(26834,plain,
% 5.26/4.76 (always3(s173)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[3998, 26833])).
% 5.26/4.76 tff(26835,plain,
% 5.26/4.76 (always3(s174)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[3986, 26834])).
% 5.26/4.76 tff(26836,plain,
% 5.26/4.76 (always3(s175)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[3973, 26835])).
% 5.26/4.76 tff(26837,plain,
% 5.26/4.76 (~m_main_v_state(s175, c_busy)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22998, 145, 26836])).
% 5.26/4.76 tff(26838,plain,
% 5.26/4.76 (~m_main_v_state(s174, c_busy)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22810, 145, 26835])).
% 5.26/4.76 tff(26839,plain,
% 5.26/4.76 (m_main_v_state(s174, c_ready)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[23019, 188, 26838])).
% 5.26/4.76 tff(26840,plain,
% 5.26/4.76 (~m_main_v_request(s174)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[23014, 26839, 26837])).
% 5.26/4.76 tff(26841,plain,
% 5.26/4.76 (~node4(s174)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[23005, 63, 26840])).
% 5.26/4.76 tff(26842,plain,
% 5.26/4.76 (m_main_v_state(s175, c_ready)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[23152, 188, 26837])).
% 5.26/4.76 tff(26843,plain,
% 5.26/4.76 (~m_main_v_request(s175)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[23146, 26842, 26387])).
% 5.26/4.76 tff(26844,plain,
% 5.26/4.76 (~node4(s175)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[23137, 63, 26843])).
% 5.26/4.76 tff(26845,plain,
% 5.26/4.76 (~until2p7(s175)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[26708, 26844])).
% 5.26/4.76 tff(26846,plain,
% 5.26/4.76 (~xuntil2p8(s174)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8743, 26845])).
% 5.26/4.76 tff(26847,plain,
% 5.26/4.76 (~until2p7(s174)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8748, 8293, 26846, 26841])).
% 5.26/4.76 tff(26848,plain,
% 5.26/4.76 (~xuntil2p8(s173)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8754, 26847])).
% 5.26/4.76 tff(26849,plain,
% 5.26/4.76 (~m_main_v_state(s173, c_busy)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22801, 145, 26834])).
% 5.26/4.76 tff(26850,plain,
% 5.26/4.76 (m_main_v_state(s173, c_ready)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[23919, 26849])).
% 5.26/4.76 tff(26851,plain,
% 5.26/4.76 (~m_main_v_request(s173)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22826, 26850, 26838])).
% 5.26/4.76 tff(26852,plain,
% 5.26/4.76 (~node4(s173)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22817, 63, 26851])).
% 5.26/4.76 tff(26853,plain,
% 5.26/4.76 (xuntil2p8(s173) | (~until2p7(s173))),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8760, 8293, 26852])).
% 5.26/4.76 tff(26854,plain,
% 5.26/4.76 (~until2p7(s173)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[26853, 26848])).
% 5.26/4.76 tff(26855,plain,
% 5.26/4.76 (~xuntil2p8(s172)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8766, 26854])).
% 5.26/4.76 tff(26856,plain,
% 5.26/4.76 (~m_main_v_state(s172, c_busy)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22880, 145, 26833])).
% 5.26/4.76 tff(26857,plain,
% 5.26/4.76 (m_main_v_state(s172, c_ready)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22948, 188, 26856])).
% 5.26/4.76 tff(26858,plain,
% 5.26/4.76 (~m_main_v_request(s172)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22942, 26857, 26849])).
% 5.26/4.76 tff(26859,plain,
% 5.26/4.76 (~node4(s172)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22933, 63, 26858])).
% 5.26/4.76 tff(26860,plain,
% 5.26/4.76 (xuntil2p8(s172) | (~until2p7(s172))),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8772, 8293, 26859])).
% 5.26/4.76 tff(26861,plain,
% 5.26/4.76 (~until2p7(s172)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[26860, 26855])).
% 5.26/4.76 tff(26862,plain,
% 5.26/4.76 (~xuntil2p8(s171)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8778, 26861])).
% 5.26/4.76 tff(26863,plain,
% 5.26/4.76 (~m_main_v_state(s171, c_busy)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22872, 145, 26832])).
% 5.26/4.76 tff(26864,plain,
% 5.26/4.76 (m_main_v_state(s171, c_ready)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22884, 188, 26863])).
% 5.26/4.76 tff(26865,plain,
% 5.26/4.76 (~m_main_v_request(s171)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22893, 26864, 26856])).
% 5.26/4.76 tff(26866,plain,
% 5.26/4.76 (~node4(s171)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22897, 63, 26865])).
% 5.26/4.76 tff(26867,plain,
% 5.26/4.76 (xuntil2p8(s171) | (~until2p7(s171))),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8784, 8293, 26866])).
% 5.26/4.76 tff(26868,plain,
% 5.26/4.76 (~until2p7(s171)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[26867, 26862])).
% 5.26/4.76 tff(26869,plain,
% 5.26/4.76 (~xuntil2p8(s170)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8790, 26868])).
% 5.26/4.76 tff(26870,plain,
% 5.26/4.76 (~m_main_v_state(s170, c_busy)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22921, 145, 26831])).
% 5.26/4.76 tff(26871,plain,
% 5.26/4.76 (m_main_v_state(s170, c_ready)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22925, 188, 26870])).
% 5.26/4.76 tff(26872,plain,
% 5.26/4.76 (~m_main_v_request(s170)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22913, 26871, 26863])).
% 5.26/4.76 tff(26873,plain,
% 5.26/4.76 (~node4(s170)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22904, 63, 26872])).
% 5.26/4.76 tff(26874,plain,
% 5.26/4.76 (xuntil2p8(s170) | (~until2p7(s170))),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8796, 8293, 26873])).
% 5.26/4.76 tff(26875,plain,
% 5.26/4.76 (~until2p7(s170)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[26874, 26869])).
% 5.26/4.76 tff(26876,plain,
% 5.26/4.76 (~xuntil2p8(s169)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8802, 26875])).
% 5.26/4.76 tff(26877,plain,
% 5.26/4.76 (~m_main_v_state(s169, c_busy)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8828, 145, 26830])).
% 5.26/4.76 tff(26878,plain,
% 5.26/4.76 (m_main_v_state(s169, c_ready)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[23951, 26877])).
% 5.26/4.76 tff(26879,plain,
% 5.26/4.76 (~m_main_v_request(s169)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22966, 26878, 26870])).
% 5.26/4.76 tff(26880,plain,
% 5.26/4.76 (~node4(s169)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22970, 63, 26879])).
% 5.26/4.76 tff(26881,plain,
% 5.26/4.76 (xuntil2p8(s169) | (~until2p7(s169))),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8808, 8293, 26880])).
% 5.26/4.76 tff(26882,plain,
% 5.26/4.76 (~until2p7(s169)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[26881, 26876])).
% 5.26/4.76 tff(26883,plain,
% 5.26/4.76 (~xuntil2p8(s168)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8814, 26882])).
% 5.26/4.76 tff(26884,plain,
% 5.26/4.76 (~until2p7(s168)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8854, 26883])).
% 5.26/4.76 tff(26885,plain,
% 5.26/4.76 (~trans(s199, s168)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[13088, 26884, 11264])).
% 5.26/4.76 tff(26886,plain,
% 5.26/4.76 (~xuntil2p8(s167)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8859, 26884])).
% 5.26/4.76 tff(26887,plain,
% 5.26/4.76 (~m_main_v_state(s168, c_busy)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8844, 145, 26829])).
% 5.26/4.76 tff(26888,plain,
% 5.26/4.76 (~m_main_v_state(s167, c_busy)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8886, 145, 26828])).
% 5.26/4.76 tff(26889,plain,
% 5.26/4.76 (m_main_v_state(s167, c_ready)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[23981, 26888])).
% 5.26/4.76 tff(26890,plain,
% 5.26/4.76 (~m_main_v_request(s167)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22436, 26889, 26887])).
% 5.26/4.76 tff(26891,plain,
% 5.26/4.76 (~node4(s167)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22427, 63, 26890])).
% 5.26/4.76 tff(26892,plain,
% 5.26/4.76 (xuntil2p8(s167) | (~until2p7(s167))),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8866, 8293, 26891])).
% 5.26/4.76 tff(26893,plain,
% 5.26/4.76 (~until2p7(s167)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[26892, 26886])).
% 5.26/4.76 tff(26894,plain,
% 5.26/4.76 (~trans(s199, s167)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[12967, 26893, 11264])).
% 5.26/4.76 tff(26895,plain,
% 5.26/4.76 (~trans(s199, s148)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25535, 21915])).
% 5.26/4.76 tff(26896,plain,
% 5.26/4.76 (~trans(s199, s146)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25548, 21918])).
% 5.26/4.76 tff(26897,plain,
% 5.26/4.76 (~trans(s199, s148)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25535, 22045])).
% 5.26/4.76 tff(26898,plain,
% 5.26/4.76 (~trans(s199, s146)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25548, 22047])).
% 5.26/4.76 tff(26899,plain,
% 5.26/4.76 (~trans(s199, s162)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25559, 22031])).
% 5.26/4.76 tff(26900,plain,
% 5.26/4.76 (~trans(s199, s155)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25569, 22038])).
% 5.26/4.76 tff(26901,plain,
% 5.26/4.76 (~trans(s199, s145)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25580, 22048])).
% 5.26/4.76 tff(26902,plain,
% 5.26/4.76 (~trans(s199, s159)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25590, 22034])).
% 5.26/4.76 tff(26903,plain,
% 5.26/4.76 (~trans(s199, s156)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25600, 22037])).
% 5.26/4.76 tff(26904,plain,
% 5.26/4.76 (~trans(s199, s157)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25610, 22036])).
% 5.26/4.76 tff(26905,plain,
% 5.26/4.76 (~trans(s199, s150)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25620, 22043])).
% 5.26/4.76 tff(26906,plain,
% 5.26/4.76 (~trans(s199, s153)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25631, 22040])).
% 5.26/4.76 tff(26907,plain,
% 5.26/4.76 (~trans(s199, s161)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25641, 22032])).
% 5.26/4.76 tff(26908,plain,
% 5.26/4.76 (~trans(s199, s158)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25651, 22035])).
% 5.26/4.76 tff(26909,plain,
% 5.26/4.76 (~trans(s199, s149)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25661, 22044])).
% 5.26/4.76 tff(26910,plain,
% 5.26/4.76 (~trans(s199, s160)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25672, 22033])).
% 5.26/4.76 tff(26911,plain,
% 5.26/4.76 (~trans(s199, s151)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25682, 22042])).
% 5.26/4.76 tff(26912,plain,
% 5.26/4.76 (~trans(s199, s163)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25692, 22030])).
% 5.26/4.76 tff(26913,plain,
% 5.26/4.76 (~trans(s199, s154)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25703, 22039])).
% 5.26/4.76 tff(26914,plain,
% 5.26/4.76 (~trans(s199, s152)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[25714, 22041])).
% 5.26/4.76 tff(26915,plain,
% 5.26/4.76 (~trans(s199, s144)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[26028, 22049])).
% 5.26/4.76 tff(26916,plain,
% 5.26/4.76 (~trans(s199, s143)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[26040, 22075])).
% 5.26/4.76 tff(26917,plain,
% 5.26/4.76 (always3(s167)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[26825, 13538, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13563, 13633, 13632, 13631, 13630, 13507, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13642, 13617, 13616, 13615, 13661, 13613, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13596, 13595, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13568, 13562, 13561, 13560, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13665, 13537, 13536, 13535, 13534, 13532, 13531, 13530, 13529, 13527, 13526, 13525, 13521, 13518, 13517, 13515, 13514, 13513, 13512, 13511, 13510, 13508, 13614, 13506, 13505, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13496, 13495, 13494, 13493, 13492, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.76 tff(26918,plain,
% 5.26/4.76 (always3(s168)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[4058, 26917])).
% 5.26/4.76 tff(26919,plain,
% 5.26/4.76 (~m_main_v_state(s168, c_busy)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8844, 145, 26918])).
% 5.26/4.76 tff(26920,plain,
% 5.26/4.76 (~m_main_v_state(s167, c_busy)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8886, 145, 26917])).
% 5.26/4.76 tff(26921,plain,
% 5.26/4.76 (m_main_v_state(s167, c_ready)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[23981, 26920])).
% 5.26/4.76 tff(26922,plain,
% 5.26/4.76 (~m_main_v_request(s167)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22436, 26921, 26919])).
% 5.26/4.76 tff(26923,plain,
% 5.26/4.76 (~node4(s167)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[22427, 63, 26922])).
% 5.26/4.76 tff(26924,plain,
% 5.26/4.76 (~xuntil2p8(s167)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8859, 26818])).
% 5.26/4.76 tff(26925,plain,
% 5.26/4.76 (node4(s167) | (~until2p7(s167))),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8866, 8293, 26924])).
% 5.26/4.76 tff(26926,plain,
% 5.26/4.76 (~until2p7(s167)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[26925, 26923])).
% 5.26/4.76 tff(26927,plain,
% 5.26/4.76 (~xuntil2p8(s166)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8872, 26926])).
% 5.26/4.76 tff(26928,plain,
% 5.26/4.76 (~until2p7(s166)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8912, 26927])).
% 5.26/4.76 tff(26929,plain,
% 5.26/4.76 (~xuntil2p8(s165)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8917, 26928])).
% 5.26/4.76 tff(26930,plain,
% 5.26/4.76 (~until2p7(s165)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[8951, 26929])).
% 5.26/4.76 tff(26931,plain,
% 5.26/4.76 (~trans(s199, s167)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[12967, 26926, 11264])).
% 5.26/4.76 tff(26932,plain,
% 5.26/4.76 (~trans(s199, s166)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[13022, 26928, 11264])).
% 5.26/4.76 tff(26933,plain,
% 5.26/4.76 (trans(s199, s165)),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[26047, 26932, 13665, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 26175, 13641, 26690, 13639, 13638, 13637, 13636, 13635, 13563, 13633, 13632, 13631, 13630, 13507, 13628, 13627, 13626, 26506, 13624, 13623, 13622, 13621, 13620, 13619, 13642, 13617, 13616, 13615, 13661, 13613, 26710, 13611, 13610, 13609, 13608, 26750, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13596, 13595, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 26782, 11264, 25920, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 26781, 13567, 13566, 13565, 13564, 13568, 13562, 13561, 13560, 13559, 26804, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13538, 13537, 13536, 13535, 13534, 13532, 13531, 13530, 13529, 25900, 13527, 13526, 13525, 26317, 26358, 26357, 13521, 26191, 25857, 13518, 13517, 26723, 13515, 13514, 13513, 13512, 13511, 13510, 26821, 13508, 13614, 13506, 13505, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13496, 13495, 13494, 13493, 13492, 13491, 13490, 13489, 13488, 26062, 26061, 25767, 25766, 13440, 26931, 13438, 13437, 26819, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.26/4.76 tff(26934,plain,
% 5.26/4.76 ($false),
% 5.26/4.76 inference(unit_resolution,[status(thm)],[11647, 26933, 26930, 11264])).
% 5.26/4.76 tff(26935,plain,(trans(s199, s164) | (~xuntil6(s199)) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s144) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s143) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s152) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s154) | trans(s199, s163) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s149) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s161) | trans(s199, s153) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s150) | trans(s199, s35) | trans(s199, s157) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s156) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s37) | trans(s199, s145) | trans(s199, s79) | trans(s199, s155) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s162) | trans(s199, s120) | trans(s199, s138) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.26/4.77 tff(26936,plain,
% 5.26/4.77 ($false),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[26935, 26916, 26915, 13665, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 26474, 13633, 13632, 13631, 13630, 26914, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 11264, 13617, 13616, 13615, 26913, 26912, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 26911, 26910, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 26909, 13562, 13561, 26908, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 26907, 26906, 13535, 13534, 13532, 26905, 13530, 26904, 13527, 13526, 13525, 26903, 13518, 13517, 13515, 13514, 13513, 13512, 26902, 13510, 13508, 26901, 13506, 26900, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 26899, 13496, 13495, 26898, 13493, 26897, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.77 tff(26937,plain,(always3(s163) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | (~xuntil6(s199)) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s128) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s120) | trans(s199, s138) | trans(s199, s38) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.26/4.77 tff(26938,plain,
% 5.26/4.77 (always3(s163)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[26937, 13660, 13662, 12474, 13665, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 11264, 13617, 13616, 13615, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13517, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 13495, 13493, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.77 tff(26939,plain,
% 5.26/4.77 (always3(s164)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4106, 26938])).
% 5.26/4.77 tff(26940,plain,
% 5.26/4.77 (~m_main_v_state(s164, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[8980, 145, 26939])).
% 5.26/4.77 tff(26941,plain,
% 5.26/4.77 (~m_main_v_state(s163, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4567, 145, 26938])).
% 5.26/4.77 tff(26942,plain,
% 5.26/4.77 (m_main_v_state(s163, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[22391, 188, 26941])).
% 5.26/4.77 tff(26943,plain,
% 5.26/4.77 (~m_main_v_request(s163)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[22386, 26942, 26940])).
% 5.26/4.77 tff(26944,plain,
% 5.26/4.77 (~node4(s163)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[22377, 63, 26943])).
% 5.26/4.77 tff(26945,plain,
% 5.26/4.77 (~xuntil2p8(s166)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[8872, 26893])).
% 5.26/4.77 tff(26946,plain,
% 5.26/4.77 (~until2p7(s166)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[8912, 26945])).
% 5.26/4.77 tff(26947,plain,
% 5.26/4.77 (~xuntil2p8(s165)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[8917, 26946])).
% 5.26/4.77 tff(26948,plain,
% 5.26/4.77 (~until2p7(s165)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[8951, 26947])).
% 5.26/4.77 tff(26949,plain,
% 5.26/4.77 (~xuntil2p8(s164)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[8956, 26948])).
% 5.26/4.77 tff(26950,plain,
% 5.26/4.77 (~until2p7(s164)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[8990, 26949])).
% 5.26/4.77 tff(26951,plain,
% 5.26/4.77 (~xuntil2p8(s163)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[8995, 26950])).
% 5.26/4.77 tff(26952,plain,
% 5.26/4.77 (node4(s163) | (~until2p7(s163))),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9004, 8293, 26951])).
% 5.26/4.77 tff(26953,plain,
% 5.26/4.77 (~until2p7(s163)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[26952, 26944])).
% 5.26/4.77 tff(26954,plain,
% 5.26/4.77 (~xuntil2p8(s162)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9010, 26953])).
% 5.26/4.77 tff(26955,plain,
% 5.26/4.77 (~until2p7(s162)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9015, 26954])).
% 5.26/4.77 tff(26956,plain,
% 5.26/4.77 (~trans(s199, s162)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[11515, 26955, 11264])).
% 5.26/4.77 tff(26957,plain,
% 5.26/4.77 (~trans(s199, s149)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25661, 21914])).
% 5.26/4.77 tff(26958,plain,
% 5.26/4.77 (~always3(s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4202, 21469])).
% 5.26/4.77 tff(26959,plain,
% 5.26/4.77 (~always3(s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4214, 26958])).
% 5.26/4.77 tff(26960,plain,
% 5.26/4.77 (~always3(s153)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4226, 26959])).
% 5.26/4.77 tff(26961,plain,
% 5.26/4.77 (~always3(s152)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4238, 26960])).
% 5.26/4.77 tff(26962,plain,
% 5.26/4.77 (~always3(s151)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4250, 26961])).
% 5.26/4.77 tff(26963,plain,
% 5.26/4.77 (~always3(s150)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4262, 26962])).
% 5.26/4.77 tff(26964,plain,
% 5.26/4.77 (~always3(s149)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4274, 26963])).
% 5.26/4.77 tff(26965,plain,
% 5.26/4.77 (~always3(s148)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4286, 26964])).
% 5.26/4.77 tff(26966,plain,
% 5.26/4.77 (~trans(s199, s148)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25535, 26965])).
% 5.26/4.77 tff(26967,plain,
% 5.26/4.77 (~always3(s147)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4298, 26965])).
% 5.26/4.77 tff(26968,plain,
% 5.26/4.77 (~always3(s146)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4310, 26967])).
% 5.26/4.77 tff(26969,plain,
% 5.26/4.77 (~trans(s199, s146)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25548, 26968])).
% 5.26/4.77 tff(26970,plain,
% 5.26/4.77 (~trans(s199, s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25569, 26958])).
% 5.26/4.77 tff(26971,plain,
% 5.26/4.77 (~trans(s199, s157)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25610, 21468])).
% 5.26/4.77 tff(26972,plain,
% 5.26/4.77 (~always3(s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4202, 21522])).
% 5.26/4.77 tff(26973,plain,
% 5.26/4.77 (~always3(s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4214, 26972])).
% 5.26/4.77 tff(26974,plain,
% 5.26/4.77 (~always3(s153)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4226, 26973])).
% 5.26/4.77 tff(26975,plain,
% 5.26/4.77 (~always3(s152)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4238, 26974])).
% 5.26/4.77 tff(26976,plain,
% 5.26/4.77 (~always3(s151)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4250, 26975])).
% 5.26/4.77 tff(26977,plain,
% 5.26/4.77 (~always3(s150)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4262, 26976])).
% 5.26/4.77 tff(26978,plain,
% 5.26/4.77 (~always3(s149)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4274, 26977])).
% 5.26/4.77 tff(26979,plain,
% 5.26/4.77 (~always3(s148)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4286, 26978])).
% 5.26/4.77 tff(26980,plain,
% 5.26/4.77 (~trans(s199, s148)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25535, 26979])).
% 5.26/4.77 tff(26981,plain,
% 5.26/4.77 (~always3(s147)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4298, 26979])).
% 5.26/4.77 tff(26982,plain,
% 5.26/4.77 (~always3(s146)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4310, 26981])).
% 5.26/4.77 tff(26983,plain,
% 5.26/4.77 (~trans(s199, s146)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25548, 26982])).
% 5.26/4.77 tff(26984,plain,
% 5.26/4.77 (~trans(s199, s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25569, 26972])).
% 5.26/4.77 tff(26985,plain,
% 5.26/4.77 (~trans(s199, s150)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25620, 26977])).
% 5.26/4.77 tff(26986,plain,
% 5.26/4.77 (~trans(s199, s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25590, 21512])).
% 5.26/4.77 tff(26987,plain,
% 5.26/4.77 (~trans(s199, s156)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25600, 21522])).
% 5.26/4.77 tff(26988,plain,
% 5.26/4.77 (~trans(s199, s157)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25610, 21520])).
% 5.26/4.77 tff(26989,plain,
% 5.26/4.77 (~trans(s199, s149)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25661, 26978])).
% 5.26/4.77 tff(26990,plain,
% 5.26/4.77 (~trans(s199, s153)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25631, 26974])).
% 5.26/4.77 tff(26991,plain,
% 5.26/4.77 (~trans(s199, s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25703, 26973])).
% 5.26/4.77 tff(26992,plain,
% 5.26/4.77 (~trans(s199, s158)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25651, 21513])).
% 5.26/4.77 tff(26993,plain,
% 5.26/4.77 (~xuntil2p8(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9020, 26955])).
% 5.26/4.77 tff(26994,plain,
% 5.26/4.77 (always3(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25641, 11947])).
% 5.26/4.77 tff(26995,plain,
% 5.26/4.77 (always3(s162)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4130, 26994])).
% 5.26/4.77 tff(26996,plain,
% 5.26/4.77 (~m_main_v_state(s162, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4583, 145, 26995])).
% 5.26/4.77 tff(26997,plain,
% 5.26/4.77 (until2p7(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[11955, 11947, 11264])).
% 5.26/4.77 tff(26998,assumption,(~xuntil2p8(s161)), introduced(assumption)).
% 5.26/4.77 tff(26999,plain,
% 5.26/4.77 (node4(s161) | (~until2p7(s161))),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9027, 8293, 26998])).
% 5.26/4.77 tff(27000,plain,
% 5.26/4.77 (node4(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[26999, 26997])).
% 5.26/4.77 tff(27001,plain,
% 5.26/4.77 (m_main_v_request(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21461, 63, 27000])).
% 5.26/4.77 tff(27002,plain,
% 5.26/4.77 (~m_main_v_state(s161, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21457, 27001, 26996])).
% 5.26/4.77 tff(27003,plain,
% 5.26/4.77 (~m_main_v_state(s161, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9047, 145, 26994])).
% 5.26/4.77 tff(27004,plain,
% 5.26/4.77 ($false),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21448, 188, 27003, 27002])).
% 5.26/4.77 tff(27005,plain,((~trans(s199, s161)) | xuntil2p8(s161) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.26/4.77 tff(27006,plain,
% 5.26/4.77 (~trans(s199, s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27005, 26993, 11264])).
% 5.26/4.77 tff(27007,plain,
% 5.26/4.77 (always3(s160)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25672, 12585])).
% 5.26/4.77 tff(27008,plain,
% 5.26/4.77 (always3(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4142, 27007])).
% 5.26/4.77 tff(27009,plain,
% 5.26/4.77 (always3(s162)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4130, 27008])).
% 5.26/4.77 tff(27010,plain,
% 5.26/4.77 (~m_main_v_state(s162, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4583, 145, 27009])).
% 5.26/4.77 tff(27011,plain,
% 5.26/4.77 (until2p7(s160)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[12593, 12585, 11264])).
% 5.26/4.77 tff(27012,plain,
% 5.26/4.77 (xuntil2p8(s160)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9073, 27011])).
% 5.26/4.77 tff(27013,plain,
% 5.26/4.77 (until2p7(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9033, 27012])).
% 5.26/4.77 tff(27014,plain,
% 5.26/4.77 (node4(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[26999, 27013])).
% 5.26/4.77 tff(27015,plain,
% 5.26/4.77 (m_main_v_request(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21461, 63, 27014])).
% 5.26/4.77 tff(27016,plain,
% 5.26/4.77 (~m_main_v_state(s161, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21457, 27015, 27010])).
% 5.26/4.77 tff(27017,plain,
% 5.26/4.77 (~m_main_v_state(s161, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9047, 145, 27008])).
% 5.26/4.77 tff(27018,plain,
% 5.26/4.77 ($false),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21448, 188, 27017, 27016])).
% 5.26/4.77 tff(27019,plain,((~trans(s199, s160)) | xuntil2p8(s161) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.26/4.77 tff(27020,plain,
% 5.26/4.77 (~trans(s199, s160)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27019, 26993, 11264])).
% 5.26/4.77 tff(27021,plain,
% 5.26/4.77 (always3(s151)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25682, 12596])).
% 5.26/4.77 tff(27022,plain,
% 5.26/4.77 (always3(s152)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4250, 27021])).
% 5.26/4.77 tff(27023,plain,
% 5.26/4.77 (always3(s153)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4238, 27022])).
% 5.26/4.77 tff(27024,plain,
% 5.26/4.77 (always3(s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4226, 27023])).
% 5.26/4.77 tff(27025,plain,
% 5.26/4.77 (always3(s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4214, 27024])).
% 5.26/4.77 tff(27026,plain,
% 5.26/4.77 (always3(s156)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4202, 27025])).
% 5.26/4.77 tff(27027,plain,
% 5.26/4.77 (~m_main_v_state(s156, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21663, 145, 27026])).
% 5.26/4.77 tff(27028,plain,
% 5.26/4.77 (~m_main_v_state(s155, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21693, 145, 27025])).
% 5.26/4.77 tff(27029,plain,
% 5.26/4.77 (m_main_v_state(s155, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21698, 188, 27028])).
% 5.26/4.77 tff(27030,plain,
% 5.26/4.77 (~m_main_v_request(s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21707, 27029, 27027])).
% 5.26/4.77 tff(27031,plain,
% 5.26/4.77 (~node4(s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21711, 63, 27030])).
% 5.26/4.77 tff(27032,plain,
% 5.26/4.77 (~m_main_v_state(s154, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9165, 145, 27024])).
% 5.26/4.77 tff(27033,plain,
% 5.26/4.77 (m_main_v_state(s154, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21733, 188, 27032])).
% 5.26/4.77 tff(27034,plain,
% 5.26/4.77 (~m_main_v_request(s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21727, 27033, 27028])).
% 5.26/4.77 tff(27035,plain,
% 5.26/4.77 (~node4(s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21718, 63, 27034])).
% 5.26/4.77 tff(27036,plain,
% 5.26/4.77 (~m_main_v_state(s152, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9220, 145, 27022])).
% 5.26/4.77 tff(27037,plain,
% 5.26/4.77 (~m_main_v_state(s151, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21839, 145, 27021])).
% 5.26/4.77 tff(27038,plain,
% 5.26/4.77 (m_main_v_state(s151, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[24065, 27037])).
% 5.26/4.77 tff(27039,plain,
% 5.26/4.77 (~m_main_v_request(s151)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21852, 27038, 27036])).
% 5.26/4.77 tff(27040,plain,
% 5.26/4.77 (~node4(s151)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21856, 63, 27039])).
% 5.26/4.77 tff(27041,plain,
% 5.26/4.77 (until2p7(s151)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[12604, 12596, 11264])).
% 5.26/4.77 tff(27042,plain,
% 5.26/4.77 (node4(s151) | xuntil2p8(s151)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9243, 8293, 27041])).
% 5.26/4.77 tff(27043,plain,
% 5.26/4.77 (xuntil2p8(s151)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27042, 27040])).
% 5.26/4.77 tff(27044,plain,
% 5.26/4.77 (until2p7(s152)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9235, 27043])).
% 5.26/4.77 tff(27045,plain,
% 5.26/4.77 (xuntil2p8(s152)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9230, 27044])).
% 5.26/4.77 tff(27046,plain,
% 5.26/4.77 (until2p7(s153)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9196, 27045])).
% 5.26/4.77 tff(27047,plain,
% 5.26/4.77 (xuntil2p8(s153)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9191, 27046])).
% 5.26/4.77 tff(27048,plain,
% 5.26/4.77 (until2p7(s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9151, 27047])).
% 5.26/4.77 tff(27049,plain,
% 5.26/4.77 (xuntil2p8(s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9145, 8293, 27048, 27035])).
% 5.26/4.77 tff(27050,plain,
% 5.26/4.77 (until2p7(s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9139, 27049])).
% 5.26/4.77 tff(27051,plain,
% 5.26/4.77 (xuntil2p8(s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9133, 8293, 27050, 27031])).
% 5.26/4.77 tff(27052,plain,
% 5.26/4.77 (until2p7(s156)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9127, 27051])).
% 5.26/4.77 tff(27053,plain,
% 5.26/4.77 (always3(s157)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4190, 27026])).
% 5.26/4.77 tff(27054,plain,
% 5.26/4.77 (always3(s158)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4178, 27053])).
% 5.26/4.77 tff(27055,plain,
% 5.26/4.77 (~m_main_v_state(s158, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21560, 145, 27054])).
% 5.26/4.77 tff(27056,plain,
% 5.26/4.77 (~m_main_v_state(s157, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21636, 145, 27053])).
% 5.26/4.77 tff(27057,plain,
% 5.26/4.77 (m_main_v_state(s157, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21640, 188, 27056])).
% 5.26/4.77 tff(27058,plain,
% 5.26/4.77 (~m_main_v_request(s157)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21649, 27057, 27055])).
% 5.26/4.77 tff(27059,plain,
% 5.26/4.77 (~node4(s157)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21653, 63, 27058])).
% 5.26/4.77 tff(27060,plain,
% 5.26/4.77 (always3(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4166, 27054])).
% 5.26/4.77 tff(27061,plain,
% 5.26/4.77 (always3(s160)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4154, 27060])).
% 5.26/4.77 tff(27062,plain,
% 5.26/4.77 (always3(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4142, 27061])).
% 5.26/4.77 tff(27063,plain,
% 5.26/4.77 (always3(s162)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4130, 27062])).
% 5.26/4.77 tff(27064,plain,
% 5.26/4.77 (~m_main_v_state(s162, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4583, 145, 27063])).
% 5.26/4.77 tff(27065,plain,
% 5.26/4.77 (~m_main_v_state(s161, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9047, 145, 27062])).
% 5.26/4.77 tff(27066,plain,
% 5.26/4.77 (m_main_v_state(s161, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21448, 188, 27065])).
% 5.26/4.77 tff(27067,plain,
% 5.26/4.77 (~m_main_v_request(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21457, 27066, 27064])).
% 5.26/4.77 tff(27068,plain,
% 5.26/4.77 (~node4(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21461, 63, 27067])).
% 5.26/4.77 tff(27069,plain,
% 5.26/4.77 (~until2p7(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[26999, 27068])).
% 5.26/4.77 tff(27070,plain,
% 5.26/4.77 (~xuntil2p8(s160)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9033, 27069])).
% 5.26/4.77 tff(27071,plain,
% 5.26/4.77 (~until2p7(s160)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9073, 27070])).
% 5.26/4.77 tff(27072,plain,
% 5.26/4.77 (~xuntil2p8(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9078, 27071])).
% 5.26/4.77 tff(27073,plain,
% 5.26/4.77 (~m_main_v_state(s160, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9063, 145, 27061])).
% 5.26/4.77 tff(27074,plain,
% 5.26/4.77 (m_main_v_state(s158, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21583, 27055])).
% 5.26/4.77 tff(27075,plain,
% 5.26/4.77 (~m_main_v_state(s159, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21547, 145, 27060])).
% 5.26/4.77 tff(27076,plain,
% 5.26/4.77 (m_main_v_state(s159, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21609, 27075, 27074])).
% 5.26/4.77 tff(27077,plain,
% 5.26/4.77 (~m_main_v_request(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21540, 27076, 27073])).
% 5.26/4.77 tff(27078,plain,
% 5.26/4.77 (~node4(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21510, 63, 27077])).
% 5.26/4.77 tff(27079,plain,
% 5.26/4.77 (xuntil2p8(s159) | (~until2p7(s159))),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9085, 8293, 27078])).
% 5.26/4.77 tff(27080,plain,
% 5.26/4.77 (~until2p7(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27079, 27072])).
% 5.26/4.77 tff(27081,plain,
% 5.26/4.77 (~xuntil2p8(s158)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9091, 27080])).
% 5.26/4.77 tff(27082,plain,
% 5.26/4.77 (~node4(s158)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21625, 27075])).
% 5.26/4.77 tff(27083,plain,
% 5.26/4.77 (xuntil2p8(s158) | (~until2p7(s158))),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9097, 8293, 27082])).
% 5.26/4.77 tff(27084,plain,
% 5.26/4.77 (~until2p7(s158)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27083, 27081])).
% 5.26/4.77 tff(27085,plain,
% 5.26/4.77 (~xuntil2p8(s157)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9103, 27084])).
% 5.26/4.77 tff(27086,plain,
% 5.26/4.77 (~until2p7(s157)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9109, 8293, 27085, 27059])).
% 5.26/4.77 tff(27087,plain,
% 5.26/4.77 (~xuntil2p8(s156)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9115, 27086])).
% 5.26/4.77 tff(27088,plain,
% 5.26/4.77 (m_main_v_state(s156, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21667, 188, 27027])).
% 5.26/4.77 tff(27089,plain,
% 5.26/4.77 (~m_main_v_request(s156)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21751, 27088, 27056])).
% 5.26/4.77 tff(27090,plain,
% 5.26/4.77 (~node4(s156)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21742, 63, 27089])).
% 5.26/4.77 tff(27091,plain,
% 5.26/4.77 (xuntil2p8(s156) | (~until2p7(s156))),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9121, 8293, 27090])).
% 5.26/4.77 tff(27092,plain,
% 5.26/4.77 ($false),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27091, 27087, 27052])).
% 5.26/4.77 tff(27093,plain,((~trans(s199, s151)) | xuntil2p8(s161) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.26/4.77 tff(27094,plain,
% 5.26/4.77 (~trans(s199, s151)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27093, 26993, 11264])).
% 5.26/4.77 tff(27095,plain,
% 5.26/4.77 (~trans(s199, s163)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[12791, 26953, 11264])).
% 5.26/4.77 tff(27096,plain,
% 5.26/4.77 (always3(s145)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25580, 12794])).
% 5.26/4.77 tff(27097,plain,
% 5.26/4.77 (always3(s146)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4322, 27096])).
% 5.26/4.77 tff(27098,plain,
% 5.26/4.77 (always3(s147)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4310, 27097])).
% 5.26/4.77 tff(27099,plain,
% 5.26/4.77 (always3(s148)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4298, 27098])).
% 5.26/4.77 tff(27100,plain,
% 5.26/4.77 (always3(s149)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4286, 27099])).
% 5.26/4.77 tff(27101,plain,
% 5.26/4.77 (always3(s150)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4274, 27100])).
% 5.26/4.77 tff(27102,plain,
% 5.26/4.77 (always3(s151)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4262, 27101])).
% 5.26/4.77 tff(27103,plain,
% 5.26/4.77 (always3(s152)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4250, 27102])).
% 5.26/4.77 tff(27104,plain,
% 5.26/4.77 (always3(s153)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4238, 27103])).
% 5.26/4.77 tff(27105,plain,
% 5.26/4.77 (always3(s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4226, 27104])).
% 5.26/4.77 tff(27106,plain,
% 5.26/4.77 (always3(s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4214, 27105])).
% 5.26/4.77 tff(27107,plain,
% 5.26/4.77 (~m_main_v_state(s155, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21693, 145, 27106])).
% 5.26/4.77 tff(27108,plain,
% 5.26/4.77 (~m_main_v_state(s154, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9165, 145, 27105])).
% 5.26/4.77 tff(27109,plain,
% 5.26/4.77 (m_main_v_state(s154, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21733, 188, 27108])).
% 5.26/4.77 tff(27110,plain,
% 5.26/4.77 (~m_main_v_request(s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21727, 27109, 27107])).
% 5.26/4.77 tff(27111,plain,
% 5.26/4.77 (~node4(s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21718, 63, 27110])).
% 5.26/4.77 tff(27112,plain,
% 5.26/4.77 (~m_main_v_state(s151, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21839, 145, 27102])).
% 5.26/4.77 tff(27113,plain,
% 5.26/4.77 (~m_main_v_state(s150, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21867, 145, 27101])).
% 5.26/4.77 tff(27114,plain,
% 5.26/4.77 (m_main_v_state(s150, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21891, 188, 27113])).
% 5.26/4.77 tff(27115,plain,
% 5.26/4.77 (~m_main_v_request(s150)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21886, 27114, 27112])).
% 5.26/4.77 tff(27116,plain,
% 5.26/4.77 (~node4(s150)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21877, 63, 27115])).
% 5.26/4.77 tff(27117,plain,
% 5.26/4.77 (~m_main_v_state(s149, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9287, 145, 27100])).
% 5.26/4.77 tff(27118,plain,
% 5.26/4.77 (m_main_v_state(s149, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[24102, 27117])).
% 5.26/4.77 tff(27119,plain,
% 5.26/4.77 (~m_main_v_request(s149)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21912, 27118, 27113])).
% 5.26/4.77 tff(27120,plain,
% 5.26/4.77 (~node4(s149)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21903, 63, 27119])).
% 5.26/4.77 tff(27121,plain,
% 5.26/4.77 (until2p7(s145)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[12802, 12794, 11264])).
% 5.26/4.77 tff(27122,plain,
% 5.26/4.77 (xuntil2p8(s145)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[23773, 27121])).
% 5.26/4.77 tff(27123,plain,
% 5.26/4.77 (until2p7(s146)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9341, 27122])).
% 5.26/4.77 tff(27124,plain,
% 5.26/4.77 (xuntil2p8(s146)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9336, 27123])).
% 5.26/4.77 tff(27125,plain,
% 5.26/4.77 (until2p7(s147)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9331, 27124])).
% 5.26/4.77 tff(27126,plain,
% 5.26/4.77 (xuntil2p8(s147)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[23778, 27125])).
% 5.26/4.77 tff(27127,plain,
% 5.26/4.77 (until2p7(s148)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9318, 27126])).
% 5.26/4.77 tff(27128,plain,
% 5.26/4.77 (xuntil2p8(s148)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9313, 27127])).
% 5.26/4.77 tff(27129,plain,
% 5.26/4.77 (until2p7(s149)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9273, 27128])).
% 5.26/4.77 tff(27130,plain,
% 5.26/4.77 (node4(s149) | xuntil2p8(s149)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9267, 8293, 27129])).
% 5.26/4.77 tff(27131,plain,
% 5.26/4.77 (xuntil2p8(s149)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27130, 27120])).
% 5.26/4.77 tff(27132,plain,
% 5.26/4.77 (until2p7(s150)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9261, 27131])).
% 5.26/4.77 tff(27133,plain,
% 5.26/4.77 (xuntil2p8(s150)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9255, 8293, 27132, 27116])).
% 5.26/4.77 tff(27134,plain,
% 5.26/4.77 (until2p7(s151)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9249, 27133])).
% 5.26/4.77 tff(27135,plain,
% 5.26/4.77 (~m_main_v_state(s152, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9220, 145, 27103])).
% 5.26/4.77 tff(27136,plain,
% 5.26/4.77 (m_main_v_state(s151, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[24065, 27112])).
% 5.26/4.77 tff(27137,plain,
% 5.26/4.77 (~m_main_v_request(s151)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21852, 27136, 27135])).
% 5.26/4.77 tff(27138,plain,
% 5.26/4.77 (~node4(s151)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21856, 63, 27137])).
% 5.26/4.77 tff(27139,plain,
% 5.26/4.77 (xuntil2p8(s151) | (~until2p7(s151))),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9243, 8293, 27138])).
% 5.26/4.77 tff(27140,plain,
% 5.26/4.77 (xuntil2p8(s151)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27139, 27134])).
% 5.26/4.77 tff(27141,plain,
% 5.26/4.77 (until2p7(s152)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9235, 27140])).
% 5.26/4.77 tff(27142,plain,
% 5.26/4.77 (xuntil2p8(s152)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9230, 27141])).
% 5.26/4.77 tff(27143,plain,
% 5.26/4.77 (until2p7(s153)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9196, 27142])).
% 5.26/4.77 tff(27144,plain,
% 5.26/4.77 (xuntil2p8(s153)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9191, 27143])).
% 5.26/4.77 tff(27145,plain,
% 5.26/4.77 (until2p7(s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9151, 27144])).
% 5.26/4.77 tff(27146,plain,
% 5.26/4.77 (xuntil2p8(s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9145, 8293, 27145, 27111])).
% 5.26/4.77 tff(27147,plain,
% 5.26/4.77 (until2p7(s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9139, 27146])).
% 5.26/4.77 tff(27148,plain,
% 5.26/4.77 (always3(s156)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4202, 27106])).
% 5.26/4.77 tff(27149,plain,
% 5.26/4.77 (~m_main_v_state(s156, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21663, 145, 27148])).
% 5.26/4.77 tff(27150,plain,
% 5.26/4.77 (m_main_v_state(s155, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21698, 188, 27107])).
% 5.26/4.77 tff(27151,plain,
% 5.26/4.77 (~m_main_v_request(s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21707, 27150, 27149])).
% 5.26/4.77 tff(27152,plain,
% 5.26/4.77 (~node4(s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21711, 63, 27151])).
% 5.26/4.77 tff(27153,plain,
% 5.26/4.77 (xuntil2p8(s155) | (~until2p7(s155))),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9133, 8293, 27152])).
% 5.26/4.77 tff(27154,plain,
% 5.26/4.77 (xuntil2p8(s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27153, 27147])).
% 5.26/4.77 tff(27155,plain,
% 5.26/4.77 (always3(s157)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4190, 27148])).
% 5.26/4.77 tff(27156,plain,
% 5.26/4.77 (always3(s158)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4178, 27155])).
% 5.26/4.77 tff(27157,plain,
% 5.26/4.77 (~m_main_v_state(s158, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21560, 145, 27156])).
% 5.26/4.77 tff(27158,plain,
% 5.26/4.77 (~m_main_v_state(s157, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21636, 145, 27155])).
% 5.26/4.77 tff(27159,plain,
% 5.26/4.77 (m_main_v_state(s157, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21640, 188, 27158])).
% 5.26/4.77 tff(27160,plain,
% 5.26/4.77 (~m_main_v_request(s157)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21649, 27159, 27157])).
% 5.26/4.77 tff(27161,plain,
% 5.26/4.77 (~node4(s157)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21653, 63, 27160])).
% 5.26/4.77 tff(27162,plain,
% 5.26/4.77 (always3(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4166, 27156])).
% 5.26/4.77 tff(27163,plain,
% 5.26/4.77 (always3(s160)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4154, 27162])).
% 5.26/4.77 tff(27164,plain,
% 5.26/4.77 (always3(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4142, 27163])).
% 5.26/4.77 tff(27165,plain,
% 5.26/4.77 (always3(s162)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4130, 27164])).
% 5.26/4.77 tff(27166,plain,
% 5.26/4.77 (~m_main_v_state(s162, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4583, 145, 27165])).
% 5.26/4.77 tff(27167,plain,
% 5.26/4.77 (~m_main_v_state(s161, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9047, 145, 27164])).
% 5.26/4.77 tff(27168,plain,
% 5.26/4.77 (m_main_v_state(s161, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21448, 188, 27167])).
% 5.26/4.77 tff(27169,plain,
% 5.26/4.77 (~m_main_v_request(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21457, 27168, 27166])).
% 5.26/4.77 tff(27170,plain,
% 5.26/4.77 (~node4(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21461, 63, 27169])).
% 5.26/4.77 tff(27171,plain,
% 5.26/4.77 (~until2p7(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[26999, 27170])).
% 5.26/4.77 tff(27172,plain,
% 5.26/4.77 (~xuntil2p8(s160)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9033, 27171])).
% 5.26/4.77 tff(27173,plain,
% 5.26/4.77 (~until2p7(s160)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9073, 27172])).
% 5.26/4.77 tff(27174,plain,
% 5.26/4.77 (~xuntil2p8(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9078, 27173])).
% 5.26/4.77 tff(27175,plain,
% 5.26/4.77 (~m_main_v_state(s160, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9063, 145, 27163])).
% 5.26/4.77 tff(27176,plain,
% 5.26/4.77 (m_main_v_state(s158, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21583, 27157])).
% 5.26/4.77 tff(27177,plain,
% 5.26/4.77 (~m_main_v_state(s159, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21547, 145, 27162])).
% 5.26/4.77 tff(27178,plain,
% 5.26/4.77 (m_main_v_state(s159, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21609, 27177, 27176])).
% 5.26/4.77 tff(27179,plain,
% 5.26/4.77 (~m_main_v_request(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21540, 27178, 27175])).
% 5.26/4.77 tff(27180,plain,
% 5.26/4.77 (~node4(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21510, 63, 27179])).
% 5.26/4.77 tff(27181,plain,
% 5.26/4.77 (xuntil2p8(s159) | (~until2p7(s159))),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9085, 8293, 27180])).
% 5.26/4.77 tff(27182,plain,
% 5.26/4.77 (~until2p7(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27181, 27174])).
% 5.26/4.77 tff(27183,plain,
% 5.26/4.77 (~xuntil2p8(s158)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9091, 27182])).
% 5.26/4.77 tff(27184,plain,
% 5.26/4.77 (~node4(s158)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21625, 27177])).
% 5.26/4.77 tff(27185,plain,
% 5.26/4.77 (xuntil2p8(s158) | (~until2p7(s158))),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9097, 8293, 27184])).
% 5.26/4.77 tff(27186,plain,
% 5.26/4.77 (~until2p7(s158)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27185, 27183])).
% 5.26/4.77 tff(27187,plain,
% 5.26/4.77 (~xuntil2p8(s157)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9103, 27186])).
% 5.26/4.77 tff(27188,plain,
% 5.26/4.77 (~until2p7(s157)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9109, 8293, 27187, 27161])).
% 5.26/4.77 tff(27189,plain,
% 5.26/4.77 (~xuntil2p8(s156)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9115, 27188])).
% 5.26/4.77 tff(27190,plain,
% 5.26/4.77 (m_main_v_state(s156, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21667, 188, 27149])).
% 5.26/4.77 tff(27191,plain,
% 5.26/4.77 (~m_main_v_request(s156)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21751, 27190, 27158])).
% 5.26/4.77 tff(27192,plain,
% 5.26/4.77 (~node4(s156)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21742, 63, 27191])).
% 5.26/4.77 tff(27193,plain,
% 5.26/4.77 (xuntil2p8(s156) | (~until2p7(s156))),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9121, 8293, 27192])).
% 5.26/4.77 tff(27194,plain,
% 5.26/4.77 (~until2p7(s156)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27193, 27189])).
% 5.26/4.77 tff(27195,plain,
% 5.26/4.77 ($false),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9127, 27194, 27154])).
% 5.26/4.77 tff(27196,plain,((~trans(s199, s145)) | xuntil2p8(s161) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.26/4.77 tff(27197,plain,
% 5.26/4.77 (~trans(s199, s145)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27196, 26993, 11264])).
% 5.26/4.77 tff(27198,plain,
% 5.26/4.77 (always3(s152)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[25714, 13102])).
% 5.26/4.77 tff(27199,plain,
% 5.26/4.77 (always3(s153)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4238, 27198])).
% 5.26/4.77 tff(27200,plain,
% 5.26/4.77 (always3(s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4226, 27199])).
% 5.26/4.77 tff(27201,plain,
% 5.26/4.77 (always3(s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4214, 27200])).
% 5.26/4.77 tff(27202,plain,
% 5.26/4.77 (always3(s156)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4202, 27201])).
% 5.26/4.77 tff(27203,plain,
% 5.26/4.77 (~m_main_v_state(s156, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21663, 145, 27202])).
% 5.26/4.77 tff(27204,plain,
% 5.26/4.77 (~m_main_v_state(s155, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21693, 145, 27201])).
% 5.26/4.77 tff(27205,plain,
% 5.26/4.77 (m_main_v_state(s155, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21698, 188, 27204])).
% 5.26/4.77 tff(27206,plain,
% 5.26/4.77 (~m_main_v_request(s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21707, 27205, 27203])).
% 5.26/4.77 tff(27207,plain,
% 5.26/4.77 (~node4(s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21711, 63, 27206])).
% 5.26/4.77 tff(27208,plain,
% 5.26/4.77 (~m_main_v_state(s154, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9165, 145, 27200])).
% 5.26/4.77 tff(27209,plain,
% 5.26/4.77 (m_main_v_state(s154, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21733, 188, 27208])).
% 5.26/4.77 tff(27210,plain,
% 5.26/4.77 (~m_main_v_request(s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21727, 27209, 27204])).
% 5.26/4.77 tff(27211,plain,
% 5.26/4.77 (~node4(s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21718, 63, 27210])).
% 5.26/4.77 tff(27212,plain,
% 5.26/4.77 (until2p7(s152)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[13110, 13102, 11264])).
% 5.26/4.77 tff(27213,plain,
% 5.26/4.77 (xuntil2p8(s152)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9230, 27212])).
% 5.26/4.77 tff(27214,plain,
% 5.26/4.77 (until2p7(s153)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9196, 27213])).
% 5.26/4.77 tff(27215,plain,
% 5.26/4.77 (xuntil2p8(s153)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9191, 27214])).
% 5.26/4.77 tff(27216,plain,
% 5.26/4.77 (until2p7(s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9151, 27215])).
% 5.26/4.77 tff(27217,plain,
% 5.26/4.77 (node4(s154) | xuntil2p8(s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9145, 8293, 27216])).
% 5.26/4.77 tff(27218,plain,
% 5.26/4.77 (xuntil2p8(s154)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27217, 27211])).
% 5.26/4.77 tff(27219,plain,
% 5.26/4.77 (until2p7(s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9139, 27218])).
% 5.26/4.77 tff(27220,plain,
% 5.26/4.77 (xuntil2p8(s155)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9133, 8293, 27219, 27207])).
% 5.26/4.77 tff(27221,plain,
% 5.26/4.77 (until2p7(s156)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9127, 27220])).
% 5.26/4.77 tff(27222,plain,
% 5.26/4.77 (always3(s157)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4190, 27202])).
% 5.26/4.77 tff(27223,plain,
% 5.26/4.77 (always3(s158)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4178, 27222])).
% 5.26/4.77 tff(27224,plain,
% 5.26/4.77 (~m_main_v_state(s158, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21560, 145, 27223])).
% 5.26/4.77 tff(27225,plain,
% 5.26/4.77 (~m_main_v_state(s157, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21636, 145, 27222])).
% 5.26/4.77 tff(27226,plain,
% 5.26/4.77 (m_main_v_state(s157, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21640, 188, 27225])).
% 5.26/4.77 tff(27227,plain,
% 5.26/4.77 (~m_main_v_request(s157)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21649, 27226, 27224])).
% 5.26/4.77 tff(27228,plain,
% 5.26/4.77 (~node4(s157)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21653, 63, 27227])).
% 5.26/4.77 tff(27229,plain,
% 5.26/4.77 (always3(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4166, 27223])).
% 5.26/4.77 tff(27230,plain,
% 5.26/4.77 (always3(s160)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4154, 27229])).
% 5.26/4.77 tff(27231,plain,
% 5.26/4.77 (always3(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4142, 27230])).
% 5.26/4.77 tff(27232,plain,
% 5.26/4.77 (always3(s162)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4130, 27231])).
% 5.26/4.77 tff(27233,plain,
% 5.26/4.77 (~m_main_v_state(s162, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4583, 145, 27232])).
% 5.26/4.77 tff(27234,plain,
% 5.26/4.77 (~m_main_v_state(s161, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9047, 145, 27231])).
% 5.26/4.77 tff(27235,plain,
% 5.26/4.77 (m_main_v_state(s161, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21448, 188, 27234])).
% 5.26/4.77 tff(27236,plain,
% 5.26/4.77 (~m_main_v_request(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21457, 27235, 27233])).
% 5.26/4.77 tff(27237,plain,
% 5.26/4.77 (~node4(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21461, 63, 27236])).
% 5.26/4.77 tff(27238,plain,
% 5.26/4.77 (~until2p7(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[26999, 27237])).
% 5.26/4.77 tff(27239,plain,
% 5.26/4.77 (~xuntil2p8(s160)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9033, 27238])).
% 5.26/4.77 tff(27240,plain,
% 5.26/4.77 (~until2p7(s160)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9073, 27239])).
% 5.26/4.77 tff(27241,plain,
% 5.26/4.77 (~xuntil2p8(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9078, 27240])).
% 5.26/4.77 tff(27242,plain,
% 5.26/4.77 (~m_main_v_state(s160, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9063, 145, 27230])).
% 5.26/4.77 tff(27243,plain,
% 5.26/4.77 (m_main_v_state(s158, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21583, 27224])).
% 5.26/4.77 tff(27244,plain,
% 5.26/4.77 (~m_main_v_state(s159, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21547, 145, 27229])).
% 5.26/4.77 tff(27245,plain,
% 5.26/4.77 (m_main_v_state(s159, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21609, 27244, 27243])).
% 5.26/4.77 tff(27246,plain,
% 5.26/4.77 (~m_main_v_request(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21540, 27245, 27242])).
% 5.26/4.77 tff(27247,plain,
% 5.26/4.77 (~node4(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21510, 63, 27246])).
% 5.26/4.77 tff(27248,plain,
% 5.26/4.77 (xuntil2p8(s159) | (~until2p7(s159))),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9085, 8293, 27247])).
% 5.26/4.77 tff(27249,plain,
% 5.26/4.77 (~until2p7(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27248, 27241])).
% 5.26/4.77 tff(27250,plain,
% 5.26/4.77 (~xuntil2p8(s158)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9091, 27249])).
% 5.26/4.77 tff(27251,plain,
% 5.26/4.77 (~node4(s158)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21625, 27244])).
% 5.26/4.77 tff(27252,plain,
% 5.26/4.77 (xuntil2p8(s158) | (~until2p7(s158))),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9097, 8293, 27251])).
% 5.26/4.77 tff(27253,plain,
% 5.26/4.77 (~until2p7(s158)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27252, 27250])).
% 5.26/4.77 tff(27254,plain,
% 5.26/4.77 (~xuntil2p8(s157)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9103, 27253])).
% 5.26/4.77 tff(27255,plain,
% 5.26/4.77 (~until2p7(s157)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9109, 8293, 27254, 27228])).
% 5.26/4.77 tff(27256,plain,
% 5.26/4.77 (~xuntil2p8(s156)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9115, 27255])).
% 5.26/4.77 tff(27257,plain,
% 5.26/4.77 (m_main_v_state(s156, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21667, 188, 27203])).
% 5.26/4.77 tff(27258,plain,
% 5.26/4.77 (~m_main_v_request(s156)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21751, 27257, 27225])).
% 5.26/4.77 tff(27259,plain,
% 5.26/4.77 (~node4(s156)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21742, 63, 27258])).
% 5.26/4.77 tff(27260,plain,
% 5.26/4.77 (xuntil2p8(s156) | (~until2p7(s156))),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9121, 8293, 27259])).
% 5.26/4.77 tff(27261,plain,
% 5.26/4.77 ($false),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27260, 27256, 27221])).
% 5.26/4.77 tff(27262,plain,((~trans(s199, s152)) | xuntil2p8(s161) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.26/4.77 tff(27263,plain,
% 5.26/4.77 (~trans(s199, s152)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27262, 26993, 11264])).
% 5.26/4.77 tff(27264,plain,
% 5.26/4.77 (~always3(s145)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4322, 26982])).
% 5.26/4.77 tff(27265,plain,
% 5.26/4.77 (~always3(s144)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4334, 27264])).
% 5.26/4.77 tff(27266,plain,
% 5.26/4.77 (~trans(s199, s144)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[26028, 27265])).
% 5.26/4.77 tff(27267,plain,
% 5.26/4.77 (~always3(s143)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4968, 27265])).
% 5.26/4.77 tff(27268,plain,
% 5.26/4.77 (~trans(s199, s143)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[26040, 27267])).
% 5.26/4.77 tff(27269,plain,
% 5.26/4.77 ($false),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[26935, 27268, 27266, 13665, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 26474, 13633, 13632, 13631, 13630, 27263, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 11264, 13617, 13616, 13615, 27197, 27095, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 27094, 27020, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 27006, 13562, 13561, 26992, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 26991, 26990, 13535, 13534, 13532, 26989, 13530, 26988, 13527, 13526, 13525, 26987, 13518, 13517, 13515, 13514, 13513, 13512, 26986, 13510, 13508, 26985, 13506, 26984, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 26956, 13496, 13495, 26983, 13493, 26980, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.77 tff(27270,plain,(always3(s159) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | (~xuntil6(s199)) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s128) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s120) | trans(s199, s138) | trans(s199, s38) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.26/4.77 tff(27271,plain,
% 5.26/4.77 (always3(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27270, 13660, 13662, 12474, 13665, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 11264, 13617, 13616, 13615, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13517, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 13495, 13493, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.77 tff(27272,plain,
% 5.26/4.77 (always3(s160)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4154, 27271])).
% 5.26/4.77 tff(27273,plain,
% 5.26/4.77 (~m_main_v_state(s160, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9063, 145, 27272])).
% 5.26/4.77 tff(27274,plain,
% 5.26/4.77 (~m_main_v_state(s159, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21547, 145, 27271])).
% 5.26/4.77 tff(27275,plain,
% 5.26/4.77 (m_main_v_state(s159, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21551, 188, 27274])).
% 5.26/4.77 tff(27276,plain,
% 5.26/4.77 (~m_main_v_request(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21540, 27275, 27273])).
% 5.26/4.77 tff(27277,plain,
% 5.26/4.77 (~node4(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21510, 63, 27276])).
% 5.26/4.77 tff(27278,plain,
% 5.26/4.77 (always3(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4142, 27272])).
% 5.26/4.77 tff(27279,plain,
% 5.26/4.77 (always3(s162)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4130, 27278])).
% 5.26/4.77 tff(27280,plain,
% 5.26/4.77 (~m_main_v_state(s162, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[4583, 145, 27279])).
% 5.26/4.77 tff(27281,plain,
% 5.26/4.77 (~m_main_v_state(s161, c_busy)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9047, 145, 27278])).
% 5.26/4.77 tff(27282,plain,
% 5.26/4.77 (m_main_v_state(s161, c_ready)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21448, 188, 27281])).
% 5.26/4.77 tff(27283,plain,
% 5.26/4.77 (~m_main_v_request(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21457, 27282, 27280])).
% 5.26/4.77 tff(27284,plain,
% 5.26/4.77 (~node4(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[21461, 63, 27283])).
% 5.26/4.77 tff(27285,plain,
% 5.26/4.77 (node4(s161) | (~until2p7(s161))),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9027, 8293, 26993])).
% 5.26/4.77 tff(27286,plain,
% 5.26/4.77 (~until2p7(s161)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[27285, 27284])).
% 5.26/4.77 tff(27287,plain,
% 5.26/4.77 (~xuntil2p8(s160)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9033, 27286])).
% 5.26/4.77 tff(27288,plain,
% 5.26/4.77 (~until2p7(s160)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9073, 27287])).
% 5.26/4.77 tff(27289,plain,
% 5.26/4.77 (~xuntil2p8(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9078, 27288])).
% 5.26/4.77 tff(27290,plain,
% 5.26/4.77 (~until2p7(s159)),
% 5.26/4.77 inference(unit_resolution,[status(thm)],[9085, 8293, 27289, 27277])).
% 5.26/4.78 tff(27291,plain,
% 5.26/4.78 (~trans(s199, s159)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[11669, 27290, 11264])).
% 5.26/4.78 tff(27292,plain,
% 5.26/4.78 (~trans(s199, s156)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[25600, 21469])).
% 5.26/4.78 tff(27293,plain,
% 5.26/4.78 (~trans(s199, s150)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[25620, 26963])).
% 5.26/4.78 tff(27294,plain,
% 5.26/4.78 (~trans(s199, s149)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[25661, 26964])).
% 5.26/4.78 tff(27295,plain,
% 5.26/4.78 (~trans(s199, s154)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[25703, 26959])).
% 5.26/4.78 tff(27296,plain,
% 5.26/4.78 (~node4(s158)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21625, 27274])).
% 5.26/4.78 tff(27297,plain,
% 5.26/4.78 (~xuntil2p8(s158)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9091, 27290])).
% 5.26/4.78 tff(27298,plain,
% 5.26/4.78 (~until2p7(s158)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9097, 8293, 27297, 27296])).
% 5.26/4.78 tff(27299,plain,
% 5.26/4.78 (~xuntil2p8(s157)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9103, 27298])).
% 5.26/4.78 tff(27300,plain,
% 5.26/4.78 (always3(s153)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[25631, 11936])).
% 5.26/4.78 tff(27301,plain,
% 5.26/4.78 (always3(s154)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4226, 27300])).
% 5.26/4.78 tff(27302,plain,
% 5.26/4.78 (always3(s155)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4214, 27301])).
% 5.26/4.78 tff(27303,plain,
% 5.26/4.78 (always3(s156)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4202, 27302])).
% 5.26/4.78 tff(27304,plain,
% 5.26/4.78 (~m_main_v_state(s156, c_busy)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21663, 145, 27303])).
% 5.26/4.78 tff(27305,plain,
% 5.26/4.78 (~m_main_v_state(s155, c_busy)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21693, 145, 27302])).
% 5.26/4.78 tff(27306,plain,
% 5.26/4.78 (m_main_v_state(s155, c_ready)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21698, 188, 27305])).
% 5.26/4.78 tff(27307,plain,
% 5.26/4.78 (~m_main_v_request(s155)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21707, 27306, 27304])).
% 5.26/4.78 tff(27308,plain,
% 5.26/4.78 (~node4(s155)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21711, 63, 27307])).
% 5.26/4.78 tff(27309,plain,
% 5.26/4.78 (~m_main_v_state(s154, c_busy)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9165, 145, 27301])).
% 5.26/4.78 tff(27310,plain,
% 5.26/4.78 (m_main_v_state(s154, c_ready)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21733, 188, 27309])).
% 5.26/4.78 tff(27311,plain,
% 5.26/4.78 (~m_main_v_request(s154)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21727, 27310, 27305])).
% 5.26/4.78 tff(27312,plain,
% 5.26/4.78 (~node4(s154)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21718, 63, 27311])).
% 5.26/4.78 tff(27313,plain,
% 5.26/4.78 (until2p7(s153)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[11944, 11936, 11264])).
% 5.26/4.78 tff(27314,plain,
% 5.26/4.78 (xuntil2p8(s153)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9191, 27313])).
% 5.26/4.78 tff(27315,plain,
% 5.26/4.78 (until2p7(s154)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9151, 27314])).
% 5.26/4.78 tff(27316,plain,
% 5.26/4.78 (node4(s154) | xuntil2p8(s154)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9145, 8293, 27315])).
% 5.26/4.78 tff(27317,plain,
% 5.26/4.78 (xuntil2p8(s154)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[27316, 27312])).
% 5.26/4.78 tff(27318,plain,
% 5.26/4.78 (until2p7(s155)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9139, 27317])).
% 5.26/4.78 tff(27319,plain,
% 5.26/4.78 (xuntil2p8(s155)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9133, 8293, 27318, 27308])).
% 5.26/4.78 tff(27320,plain,
% 5.26/4.78 (always3(s157)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4190, 27303])).
% 5.26/4.78 tff(27321,plain,
% 5.26/4.78 (~m_main_v_state(s157, c_busy)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21636, 145, 27320])).
% 5.26/4.78 tff(27322,plain,
% 5.26/4.78 (m_main_v_state(s156, c_ready)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21667, 188, 27304])).
% 5.26/4.78 tff(27323,plain,
% 5.26/4.78 (~m_main_v_request(s156)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21751, 27322, 27321])).
% 5.26/4.78 tff(27324,plain,
% 5.26/4.78 (~node4(s156)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21742, 63, 27323])).
% 5.26/4.78 tff(27325,plain,
% 5.26/4.78 (always3(s158)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4178, 27320])).
% 5.26/4.78 tff(27326,plain,
% 5.26/4.78 (~m_main_v_state(s158, c_busy)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21560, 145, 27325])).
% 5.26/4.78 tff(27327,plain,
% 5.26/4.78 (m_main_v_state(s157, c_ready)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21640, 188, 27321])).
% 5.26/4.78 tff(27328,plain,
% 5.26/4.78 (~m_main_v_request(s157)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21649, 27327, 27326])).
% 5.26/4.78 tff(27329,plain,
% 5.26/4.78 (~node4(s157)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21653, 63, 27328])).
% 5.26/4.78 tff(27330,assumption,(~xuntil2p8(s157)), introduced(assumption)).
% 5.26/4.78 tff(27331,plain,
% 5.26/4.78 (node4(s157) | (~until2p7(s157))),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9109, 8293, 27330])).
% 5.26/4.78 tff(27332,plain,
% 5.26/4.78 (~until2p7(s157)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[27331, 27329])).
% 5.26/4.78 tff(27333,plain,
% 5.26/4.78 (~xuntil2p8(s156)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9115, 27332])).
% 5.26/4.78 tff(27334,plain,
% 5.26/4.78 (~until2p7(s156)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9121, 8293, 27333, 27324])).
% 5.26/4.78 tff(27335,plain,
% 5.26/4.78 ($false),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9127, 27334, 27319])).
% 5.26/4.78 tff(27336,plain,((~trans(s199, s153)) | xuntil2p8(s157) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.26/4.78 tff(27337,plain,
% 5.26/4.78 (~trans(s199, s153)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[27336, 27299, 11264])).
% 5.26/4.78 tff(27338,plain,
% 5.26/4.78 (~trans(s199, s158)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[12208, 27298, 11264])).
% 5.26/4.78 tff(27339,plain,
% 5.26/4.78 (~always3(s145)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4322, 26968])).
% 5.26/4.78 tff(27340,plain,
% 5.26/4.78 (~always3(s144)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4334, 27339])).
% 5.26/4.78 tff(27341,plain,
% 5.26/4.78 (~trans(s199, s144)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[26028, 27340])).
% 5.26/4.78 tff(27342,plain,
% 5.26/4.78 (~always3(s143)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4968, 27340])).
% 5.26/4.78 tff(27343,plain,
% 5.26/4.78 (~trans(s199, s143)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[26040, 27342])).
% 5.26/4.78 tff(27344,plain,
% 5.26/4.78 ($false),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[26935, 27343, 27341, 13665, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 26474, 13633, 13632, 13631, 13630, 27263, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 11264, 13617, 13616, 13615, 27197, 27095, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 27094, 27020, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 27006, 13562, 13561, 27338, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 27337, 27295, 13535, 13534, 13532, 27294, 13530, 27293, 13527, 13526, 13525, 27292, 13518, 13517, 13515, 13514, 13513, 13512, 27291, 13510, 13508, 26971, 13506, 26970, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 26956, 13496, 13495, 26969, 13493, 26966, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.78 tff(27345,plain,(always3(s157) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | (~xuntil6(s199)) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s128) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s120) | trans(s199, s138) | trans(s199, s38) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.26/4.78 tff(27346,plain,
% 5.26/4.78 (always3(s157)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[27345, 13660, 13662, 12474, 13665, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 11264, 13617, 13616, 13615, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13517, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 13495, 13493, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.78 tff(27347,plain,
% 5.26/4.78 (always3(s158)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4178, 27346])).
% 5.26/4.78 tff(27348,plain,
% 5.26/4.78 (~m_main_v_state(s158, c_busy)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21560, 145, 27347])).
% 5.26/4.78 tff(27349,plain,
% 5.26/4.78 (~m_main_v_state(s157, c_busy)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21636, 145, 27346])).
% 5.26/4.78 tff(27350,plain,
% 5.26/4.78 (m_main_v_state(s157, c_ready)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21640, 188, 27349])).
% 5.26/4.78 tff(27351,plain,
% 5.26/4.78 (~m_main_v_request(s157)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21649, 27350, 27348])).
% 5.26/4.78 tff(27352,plain,
% 5.26/4.78 (~node4(s157)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21653, 63, 27351])).
% 5.26/4.78 tff(27353,plain,
% 5.26/4.78 (node4(s157) | (~until2p7(s157))),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9109, 8293, 27299])).
% 5.26/4.78 tff(27354,plain,
% 5.26/4.78 (~until2p7(s157)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[27353, 27352])).
% 5.26/4.78 tff(27355,plain,
% 5.26/4.78 (~trans(s199, s157)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[11867, 27354, 11264])).
% 5.26/4.78 tff(27356,plain,
% 5.26/4.78 (~trans(s199, s169)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[12846, 26882, 11264])).
% 5.26/4.78 tff(27357,plain,
% 5.26/4.78 (~trans(s199, s174)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[11724, 26847, 11264])).
% 5.26/4.78 tff(27358,plain,
% 5.26/4.78 (~always3(s153)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4226, 25694])).
% 5.26/4.78 tff(27359,plain,
% 5.26/4.78 (~always3(s152)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4238, 27358])).
% 5.26/4.78 tff(27360,plain,
% 5.26/4.78 (~always3(s151)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4250, 27359])).
% 5.26/4.78 tff(27361,plain,
% 5.26/4.78 (~always3(s150)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4262, 27360])).
% 5.26/4.78 tff(27362,plain,
% 5.26/4.78 (~always3(s149)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4274, 27361])).
% 5.26/4.78 tff(27363,plain,
% 5.26/4.78 (~always3(s148)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4286, 27362])).
% 5.26/4.78 tff(27364,plain,
% 5.26/4.78 (~trans(s199, s148)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[25535, 27363])).
% 5.26/4.78 tff(27365,plain,
% 5.26/4.78 (~always3(s147)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4298, 27363])).
% 5.26/4.78 tff(27366,plain,
% 5.26/4.78 (~always3(s146)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4310, 27365])).
% 5.26/4.78 tff(27367,plain,
% 5.26/4.78 (~trans(s199, s146)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[25548, 27366])).
% 5.26/4.78 tff(27368,plain,
% 5.26/4.78 (~trans(s199, s149)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[25661, 27362])).
% 5.26/4.78 tff(27369,plain,
% 5.26/4.78 (~trans(s199, s154)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[25703, 25694])).
% 5.26/4.78 tff(27370,plain,
% 5.26/4.78 (~always3(s151)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4250, 21483])).
% 5.26/4.78 tff(27371,plain,
% 5.26/4.78 (~always3(s150)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4262, 27370])).
% 5.26/4.78 tff(27372,plain,
% 5.26/4.78 (~always3(s149)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4274, 27371])).
% 5.26/4.78 tff(27373,plain,
% 5.26/4.78 (~always3(s148)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4286, 27372])).
% 5.26/4.78 tff(27374,plain,
% 5.26/4.78 (~trans(s199, s148)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[25535, 27373])).
% 5.26/4.78 tff(27375,plain,
% 5.26/4.78 (~always3(s147)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4298, 27373])).
% 5.26/4.78 tff(27376,plain,
% 5.26/4.78 (~always3(s146)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4310, 27375])).
% 5.26/4.78 tff(27377,plain,
% 5.26/4.78 (~trans(s199, s146)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[25548, 27376])).
% 5.26/4.78 tff(27378,plain,
% 5.26/4.78 (~trans(s199, s155)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[25569, 21471])).
% 5.26/4.78 tff(27379,plain,
% 5.26/4.78 (~trans(s199, s149)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[25661, 27372])).
% 5.26/4.78 tff(27380,plain,
% 5.26/4.78 (~trans(s199, s154)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[25703, 21480])).
% 5.26/4.78 tff(27381,plain,
% 5.26/4.78 (~trans(s199, s156)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[25600, 21470])).
% 5.26/4.78 tff(27382,plain,
% 5.26/4.78 (~xuntil2p8(s156)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9115, 27354])).
% 5.26/4.78 tff(27383,plain,
% 5.26/4.78 (always3(s150)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[25620, 11881])).
% 5.26/4.78 tff(27384,plain,
% 5.26/4.78 (always3(s151)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4262, 27383])).
% 5.26/4.78 tff(27385,plain,
% 5.26/4.78 (always3(s152)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4250, 27384])).
% 5.26/4.78 tff(27386,plain,
% 5.26/4.78 (always3(s153)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4238, 27385])).
% 5.26/4.78 tff(27387,plain,
% 5.26/4.78 (always3(s154)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4226, 27386])).
% 5.26/4.78 tff(27388,plain,
% 5.26/4.78 (always3(s155)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4214, 27387])).
% 5.26/4.78 tff(27389,plain,
% 5.26/4.78 (~m_main_v_state(s155, c_busy)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21693, 145, 27388])).
% 5.26/4.78 tff(27390,plain,
% 5.26/4.78 (~m_main_v_state(s154, c_busy)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9165, 145, 27387])).
% 5.26/4.78 tff(27391,plain,
% 5.26/4.78 (m_main_v_state(s154, c_ready)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21733, 188, 27390])).
% 5.26/4.78 tff(27392,plain,
% 5.26/4.78 (~m_main_v_request(s154)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21727, 27391, 27389])).
% 5.26/4.78 tff(27393,plain,
% 5.26/4.78 (~node4(s154)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21718, 63, 27392])).
% 5.26/4.78 tff(27394,plain,
% 5.26/4.78 (~m_main_v_state(s151, c_busy)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21839, 145, 27384])).
% 5.26/4.78 tff(27395,plain,
% 5.26/4.78 (~m_main_v_state(s150, c_busy)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21867, 145, 27383])).
% 5.26/4.78 tff(27396,plain,
% 5.26/4.78 (m_main_v_state(s150, c_ready)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21891, 188, 27395])).
% 5.26/4.78 tff(27397,plain,
% 5.26/4.78 (~m_main_v_request(s150)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21886, 27396, 27394])).
% 5.26/4.78 tff(27398,plain,
% 5.26/4.78 (~node4(s150)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21877, 63, 27397])).
% 5.26/4.78 tff(27399,plain,
% 5.26/4.78 (until2p7(s150)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[11889, 11881, 11264])).
% 5.26/4.78 tff(27400,plain,
% 5.26/4.78 (node4(s150) | xuntil2p8(s150)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9255, 8293, 27399])).
% 5.26/4.78 tff(27401,plain,
% 5.26/4.78 (xuntil2p8(s150)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[27400, 27398])).
% 5.26/4.78 tff(27402,plain,
% 5.26/4.78 (until2p7(s151)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9249, 27401])).
% 5.26/4.78 tff(27403,plain,
% 5.26/4.78 (~m_main_v_state(s152, c_busy)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9220, 145, 27385])).
% 5.26/4.78 tff(27404,plain,
% 5.26/4.78 (m_main_v_state(s151, c_ready)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[24065, 27394])).
% 5.26/4.78 tff(27405,plain,
% 5.26/4.78 (~m_main_v_request(s151)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21852, 27404, 27403])).
% 5.26/4.78 tff(27406,plain,
% 5.26/4.78 (~node4(s151)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21856, 63, 27405])).
% 5.26/4.78 tff(27407,plain,
% 5.26/4.78 (xuntil2p8(s151) | (~until2p7(s151))),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9243, 8293, 27406])).
% 5.26/4.78 tff(27408,plain,
% 5.26/4.78 (xuntil2p8(s151)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[27407, 27402])).
% 5.26/4.78 tff(27409,plain,
% 5.26/4.78 (until2p7(s152)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9235, 27408])).
% 5.26/4.78 tff(27410,plain,
% 5.26/4.78 (xuntil2p8(s152)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9230, 27409])).
% 5.26/4.78 tff(27411,plain,
% 5.26/4.78 (until2p7(s153)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9196, 27410])).
% 5.26/4.78 tff(27412,plain,
% 5.26/4.78 (xuntil2p8(s153)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9191, 27411])).
% 5.26/4.78 tff(27413,plain,
% 5.26/4.78 (until2p7(s154)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9151, 27412])).
% 5.26/4.78 tff(27414,plain,
% 5.26/4.78 (xuntil2p8(s154)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9145, 8293, 27413, 27393])).
% 5.26/4.78 tff(27415,plain,
% 5.26/4.78 (always3(s156)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4202, 27388])).
% 5.26/4.78 tff(27416,plain,
% 5.26/4.78 (~m_main_v_state(s156, c_busy)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21663, 145, 27415])).
% 5.26/4.78 tff(27417,plain,
% 5.26/4.78 (m_main_v_state(s155, c_ready)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21698, 188, 27389])).
% 5.26/4.78 tff(27418,plain,
% 5.26/4.78 (~m_main_v_request(s155)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21707, 27417, 27416])).
% 5.26/4.78 tff(27419,plain,
% 5.26/4.78 (~node4(s155)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21711, 63, 27418])).
% 5.26/4.78 tff(27420,assumption,(~m_main_v_state(s157, c_busy)), introduced(assumption)).
% 5.26/4.78 tff(27421,plain,
% 5.26/4.78 (m_main_v_state(s156, c_ready)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21667, 188, 27416])).
% 5.26/4.78 tff(27422,plain,
% 5.26/4.78 (~m_main_v_request(s156)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21751, 27421, 27420])).
% 5.26/4.78 tff(27423,plain,
% 5.26/4.78 (~node4(s156)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21742, 63, 27422])).
% 5.26/4.78 tff(27424,assumption,(~xuntil2p8(s156)), introduced(assumption)).
% 5.26/4.78 tff(27425,plain,
% 5.26/4.78 (node4(s156) | (~until2p7(s156))),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9121, 8293, 27424])).
% 5.26/4.78 tff(27426,plain,
% 5.26/4.78 (~until2p7(s156)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[27425, 27423])).
% 5.26/4.78 tff(27427,plain,
% 5.26/4.78 (~xuntil2p8(s155)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9127, 27426])).
% 5.26/4.78 tff(27428,plain,
% 5.26/4.78 (~until2p7(s155)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9133, 8293, 27427, 27419])).
% 5.26/4.78 tff(27429,plain,
% 5.26/4.78 ($false),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9139, 27428, 27414])).
% 5.26/4.78 tff(27430,plain,((~trans(s199, s150)) | xuntil2p8(s156) | m_main_v_state(s157, c_busy) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.26/4.78 tff(27431,plain,
% 5.26/4.78 (~trans(s199, s150)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[27430, 27382, 27349, 11264])).
% 5.26/4.78 tff(27432,plain,
% 5.26/4.78 (~trans(s199, s170)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[12494, 26875, 11264])).
% 5.26/4.78 tff(27433,plain,
% 5.26/4.78 (~trans(s199, s171)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[26780, 26862, 26856, 11264])).
% 5.26/4.78 tff(27434,plain,
% 5.26/4.78 (~trans(s199, s172)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[12725, 26861, 11264])).
% 5.26/4.78 tff(27435,plain,
% 5.26/4.78 (~trans(s199, s173)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[26749, 26848, 26838, 11264])).
% 5.26/4.78 tff(27436,plain,
% 5.26/4.78 (~trans(s199, s175)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[13352, 26845, 11264])).
% 5.26/4.78 tff(27437,plain,
% 5.26/4.78 (~trans(s199, s165)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[11647, 26948, 11264])).
% 5.26/4.78 tff(27438,plain,
% 5.26/4.78 (~trans(s199, s166)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[13022, 26946, 11264])).
% 5.26/4.78 tff(27439,plain,
% 5.26/4.78 (~always3(s145)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4322, 27376])).
% 5.26/4.78 tff(27440,plain,
% 5.26/4.78 (~always3(s144)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4334, 27439])).
% 5.26/4.78 tff(27441,plain,
% 5.26/4.78 (~trans(s199, s144)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[26028, 27440])).
% 5.26/4.78 tff(27442,plain,
% 5.26/4.78 (~always3(s143)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4968, 27440])).
% 5.26/4.78 tff(27443,plain,
% 5.26/4.78 (~trans(s199, s143)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[26040, 27442])).
% 5.26/4.78 tff(27444,plain,
% 5.26/4.78 ($false),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[26047, 27443, 27441, 13665, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 26175, 13641, 26690, 13639, 13638, 13637, 13636, 13635, 27438, 13633, 13632, 13631, 13630, 27437, 13628, 13627, 13626, 26506, 13624, 13623, 13622, 13621, 13620, 13619, 27263, 13617, 13616, 13615, 27197, 27095, 27436, 13611, 13610, 13609, 13608, 27435, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 27094, 27020, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 27434, 11264, 25920, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 27433, 13567, 13566, 13565, 13564, 27006, 13562, 13561, 27338, 13559, 27432, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 26474, 27337, 27431, 13535, 13534, 13532, 27381, 13530, 27380, 25900, 13527, 13526, 13525, 26317, 26358, 26357, 27379, 26191, 25857, 13518, 13517, 27357, 13515, 13514, 13513, 13512, 27291, 13510, 27356, 13508, 27355, 13506, 27378, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 26956, 13496, 13495, 27377, 13493, 27374, 13491, 13490, 13489, 13488, 26062, 26061, 25767, 25766, 13440, 26894, 13438, 13437, 26885, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.26/4.78 tff(27445,plain,(always3(s156) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | (~xuntil6(s199)) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s128) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s120) | trans(s199, s138) | trans(s199, s38) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.26/4.78 tff(27446,plain,
% 5.26/4.78 (always3(s156)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[27445, 13660, 13662, 12474, 13665, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13517, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 13495, 13493, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.78 tff(27447,plain,
% 5.26/4.78 (~m_main_v_state(s156, c_busy)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21663, 145, 27446])).
% 5.26/4.78 tff(27448,plain,
% 5.26/4.78 (m_main_v_state(s156, c_ready)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21667, 188, 27447])).
% 5.26/4.78 tff(27449,plain,
% 5.26/4.78 (~m_main_v_request(s156)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21751, 27448, 27349])).
% 5.26/4.78 tff(27450,plain,
% 5.26/4.78 (~node4(s156)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21742, 63, 27449])).
% 5.26/4.78 tff(27451,plain,
% 5.26/4.78 (node4(s156) | (~until2p7(s156))),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9121, 8293, 27382])).
% 5.26/4.78 tff(27452,plain,
% 5.26/4.78 (~until2p7(s156)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[27451, 27450])).
% 5.26/4.78 tff(27453,plain,
% 5.26/4.78 (~xuntil2p8(s155)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9127, 27452])).
% 5.26/4.78 tff(27454,plain,
% 5.26/4.78 (until2p7(s155)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[11603, 11595, 11264])).
% 5.26/4.78 tff(27455,assumption,(~xuntil2p8(s155)), introduced(assumption)).
% 5.26/4.78 tff(27456,plain,
% 5.26/4.78 (node4(s155) | (~until2p7(s155))),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[9133, 8293, 27455])).
% 5.26/4.78 tff(27457,plain,
% 5.26/4.78 (node4(s155)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[27456, 27454])).
% 5.26/4.78 tff(27458,plain,
% 5.26/4.78 (m_main_v_request(s155)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21711, 63, 27457])).
% 5.26/4.78 tff(27459,plain,
% 5.26/4.78 (~m_main_v_state(s155, c_ready)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21707, 27458, 21695])).
% 5.26/4.78 tff(27460,plain,
% 5.26/4.78 (always3(s155)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[25569, 11595])).
% 5.26/4.78 tff(27461,plain,
% 5.26/4.78 (~m_main_v_state(s155, c_busy)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21693, 145, 27460])).
% 5.26/4.78 tff(27462,plain,
% 5.26/4.78 ($false),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[21698, 188, 27461, 27459])).
% 5.26/4.78 tff(27463,plain,((~trans(s199, s155)) | m_main_v_state(s156, c_busy) | xuntil2p8(s155) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.26/4.78 tff(27464,plain,
% 5.26/4.78 (~trans(s199, s155)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[27463, 27447, 27453, 11264])).
% 5.26/4.78 tff(27465,plain,
% 5.26/4.78 (~trans(s199, s156)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[11779, 27452, 11264])).
% 5.26/4.78 tff(27466,plain,
% 5.26/4.78 (~always3(s145)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4322, 27366])).
% 5.26/4.78 tff(27467,plain,
% 5.26/4.78 (~always3(s144)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4334, 27466])).
% 5.26/4.78 tff(27468,plain,
% 5.26/4.78 (~trans(s199, s144)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[26028, 27467])).
% 5.26/4.78 tff(27469,plain,
% 5.26/4.78 (~always3(s143)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[4968, 27467])).
% 5.26/4.78 tff(27470,plain,
% 5.26/4.78 (~trans(s199, s143)),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[26040, 27469])).
% 5.26/4.78 tff(27471,plain,
% 5.26/4.78 ($false),
% 5.26/4.78 inference(unit_resolution,[status(thm)],[26047, 27470, 27468, 13665, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 26175, 13641, 26690, 13639, 13638, 13637, 13636, 13635, 27438, 13633, 13632, 13631, 13630, 27437, 13628, 13627, 13626, 26506, 13624, 13623, 13622, 13621, 13620, 13619, 27263, 13617, 13616, 13615, 27197, 27095, 27436, 13611, 13610, 13609, 13608, 27435, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 27094, 27020, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 27434, 11264, 25920, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 27433, 13567, 13566, 13565, 13564, 27006, 13562, 13561, 27338, 13559, 27432, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 26474, 27337, 27431, 13535, 13534, 13532, 27465, 13530, 27464, 25900, 13527, 13526, 13525, 26317, 26358, 26357, 27369, 26191, 25857, 13518, 13517, 27357, 13515, 13514, 13513, 13512, 27291, 13510, 27356, 13508, 27355, 13506, 27368, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 26956, 13496, 13495, 27367, 13493, 27364, 13491, 13490, 13489, 13488, 26062, 26061, 25767, 25766, 13440, 26894, 13438, 13437, 26885, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.26/4.78 tff(27472,plain,(always3(s154) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | (~xuntil6(s199)) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s128) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s120) | trans(s199, s138) | trans(s199, s38) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.26/4.79 tff(27473,plain,
% 5.26/4.79 (always3(s154)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[27472, 13660, 13662, 12474, 13665, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13611, 13610, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13517, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 13495, 13493, 13491, 13490, 13489, 13488, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.79 tff(27474,plain,
% 5.26/4.79 (always3(s155)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4214, 27473])).
% 5.26/4.79 tff(27475,plain,
% 5.26/4.79 (~m_main_v_state(s155, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21693, 145, 27474])).
% 5.26/4.79 tff(27476,plain,
% 5.26/4.79 (~m_main_v_state(s154, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[9165, 145, 27473])).
% 5.26/4.79 tff(27477,plain,
% 5.26/4.79 (m_main_v_state(s154, c_ready)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21733, 188, 27476])).
% 5.26/4.79 tff(27478,plain,
% 5.26/4.79 (~m_main_v_request(s154)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21727, 27477, 27475])).
% 5.26/4.79 tff(27479,plain,
% 5.26/4.79 (~node4(s154)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21718, 63, 27478])).
% 5.26/4.79 tff(27480,plain,
% 5.26/4.79 (m_main_v_state(s155, c_ready)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21698, 188, 27475])).
% 5.26/4.79 tff(27481,plain,
% 5.26/4.79 (~m_main_v_request(s155)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21707, 27480, 27447])).
% 5.26/4.79 tff(27482,plain,
% 5.26/4.79 (~node4(s155)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21711, 63, 27481])).
% 5.26/4.79 tff(27483,plain,
% 5.26/4.79 (node4(s155) | (~until2p7(s155))),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[9133, 8293, 27453])).
% 5.26/4.79 tff(27484,plain,
% 5.26/4.79 (~until2p7(s155)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[27483, 27482])).
% 5.26/4.79 tff(27485,plain,
% 5.26/4.79 (~xuntil2p8(s154)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[9139, 27484])).
% 5.26/4.79 tff(27486,plain,
% 5.26/4.79 (~until2p7(s154)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[9145, 8293, 27485, 27479])).
% 5.26/4.79 tff(27487,plain,
% 5.26/4.79 (~trans(s199, s154)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[13319, 27486, 11264])).
% 5.26/4.79 tff(27488,plain,
% 5.26/4.79 (~always3(s144)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4334, 21919])).
% 5.26/4.79 tff(27489,plain,
% 5.26/4.79 (~trans(s199, s144)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[26028, 27488])).
% 5.26/4.79 tff(27490,plain,
% 5.26/4.79 (~always3(s143)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4968, 27488])).
% 5.26/4.79 tff(27491,plain,
% 5.26/4.79 (~trans(s199, s143)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[26040, 27490])).
% 5.26/4.79 tff(27492,plain,
% 5.26/4.79 ($false),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[26047, 27491, 27489, 13665, 13662, 12474, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 26175, 13641, 26690, 13639, 13638, 13637, 13636, 13635, 27438, 13633, 13632, 13631, 13630, 27437, 13628, 13627, 13626, 26506, 13624, 13623, 13622, 13621, 13620, 13619, 27263, 13617, 13616, 13615, 27197, 27095, 27436, 13611, 13610, 13609, 13608, 27435, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 27094, 27020, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 27434, 11264, 25920, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 27433, 13567, 13566, 13565, 13564, 27006, 13562, 13561, 27338, 13559, 27432, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 26474, 27337, 27431, 13535, 13534, 13532, 27465, 13530, 27464, 25900, 13527, 13526, 13525, 26317, 26358, 26357, 27487, 26191, 25857, 13518, 13517, 27357, 13515, 13514, 13513, 13512, 27291, 13510, 27356, 13508, 27355, 13506, 26957, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 26956, 13496, 13495, 26896, 13493, 26895, 13491, 13490, 13489, 13488, 26062, 26061, 25767, 25766, 13440, 26894, 13438, 13437, 26885, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.26/4.79 tff(27493,plain,(always3(s149) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | (~xuntil6(s199)) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s128) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s120) | trans(s199, s138) | trans(s199, s38) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.26/4.79 tff(27494,plain,
% 5.26/4.79 (always3(s149)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[27493, 25508, 13662, 12474, 13665, 13659, 13658, 25497, 13656, 13655, 13654, 25486, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13611, 25476, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 25466, 13579, 25456, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 25446, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 25436, 13493, 13491, 13490, 13489, 25425, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.79 tff(27495,plain,
% 5.26/4.79 (always3(s150)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4274, 27494])).
% 5.26/4.79 tff(27496,plain,
% 5.26/4.79 (always3(s151)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4262, 27495])).
% 5.26/4.79 tff(27497,plain,
% 5.26/4.79 (~m_main_v_state(s151, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21839, 145, 27496])).
% 5.26/4.79 tff(27498,plain,
% 5.26/4.79 (~m_main_v_state(s150, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21867, 145, 27495])).
% 5.26/4.79 tff(27499,plain,
% 5.26/4.79 (m_main_v_state(s150, c_ready)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21891, 188, 27498])).
% 5.26/4.79 tff(27500,plain,
% 5.26/4.79 (~m_main_v_request(s150)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21886, 27499, 27497])).
% 5.26/4.79 tff(27501,plain,
% 5.26/4.79 (~node4(s150)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21877, 63, 27500])).
% 5.26/4.79 tff(27502,plain,
% 5.26/4.79 (always3(s152)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4250, 27496])).
% 5.26/4.79 tff(27503,plain,
% 5.26/4.79 (~m_main_v_state(s152, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[9220, 145, 27502])).
% 5.26/4.79 tff(27504,plain,
% 5.26/4.79 (m_main_v_state(s151, c_ready)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[24065, 27497])).
% 5.26/4.79 tff(27505,plain,
% 5.26/4.79 (~m_main_v_request(s151)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21852, 27504, 27503])).
% 5.26/4.79 tff(27506,plain,
% 5.26/4.79 (~node4(s151)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21856, 63, 27505])).
% 5.26/4.79 tff(27507,plain,
% 5.26/4.79 (always3(s154)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[27472, 25508, 13662, 12474, 13665, 13659, 13658, 25497, 13656, 13655, 13654, 25486, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13611, 25476, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 25466, 13579, 25456, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 25446, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 25436, 13493, 13491, 13490, 13489, 25425, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.79 tff(27508,plain,
% 5.26/4.79 (always3(s155)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4214, 27507])).
% 5.26/4.79 tff(27509,plain,
% 5.26/4.79 (~m_main_v_state(s155, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21693, 145, 27508])).
% 5.26/4.79 tff(27510,plain,
% 5.26/4.79 (~m_main_v_state(s154, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[9165, 145, 27507])).
% 5.26/4.79 tff(27511,plain,
% 5.26/4.79 (m_main_v_state(s154, c_ready)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21733, 188, 27510])).
% 5.26/4.79 tff(27512,plain,
% 5.26/4.79 (~m_main_v_request(s154)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21727, 27511, 27509])).
% 5.26/4.79 tff(27513,plain,
% 5.26/4.79 (~node4(s154)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21718, 63, 27512])).
% 5.26/4.79 tff(27514,plain,
% 5.26/4.79 (always3(s156)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[27445, 25508, 13662, 12474, 13665, 13659, 13658, 25497, 13656, 13655, 13654, 25486, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13611, 25476, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 25466, 13579, 25456, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 25446, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 25436, 13493, 13491, 13490, 13489, 25425, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.79 tff(27515,plain,
% 5.26/4.79 (~m_main_v_state(s156, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21663, 145, 27514])).
% 5.26/4.79 tff(27516,plain,
% 5.26/4.79 (m_main_v_state(s155, c_ready)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21698, 188, 27509])).
% 5.26/4.79 tff(27517,plain,
% 5.26/4.79 (~m_main_v_request(s155)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21707, 27516, 27515])).
% 5.26/4.79 tff(27518,plain,
% 5.26/4.79 (~node4(s155)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21711, 63, 27517])).
% 5.26/4.79 tff(27519,plain,
% 5.26/4.79 (always3(s157)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[27345, 25508, 13662, 12474, 13665, 13659, 13658, 25497, 13656, 13655, 13654, 25486, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 11264, 13617, 13616, 13615, 13611, 25476, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 25466, 13579, 25456, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 25446, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 25436, 13493, 13491, 13490, 13489, 25425, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.79 tff(27520,plain,
% 5.26/4.79 (~m_main_v_state(s157, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21636, 145, 27519])).
% 5.26/4.79 tff(27521,plain,
% 5.26/4.79 (m_main_v_state(s156, c_ready)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21667, 188, 27515])).
% 5.26/4.79 tff(27522,plain,
% 5.26/4.79 (~m_main_v_request(s156)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21751, 27521, 27520])).
% 5.26/4.79 tff(27523,plain,
% 5.26/4.79 (~node4(s156)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21742, 63, 27522])).
% 5.26/4.79 tff(27524,plain,
% 5.26/4.79 (always3(s158)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4178, 27519])).
% 5.26/4.79 tff(27525,plain,
% 5.26/4.79 (~m_main_v_state(s158, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21560, 145, 27524])).
% 5.26/4.79 tff(27526,plain,
% 5.26/4.79 (m_main_v_state(s157, c_ready)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21640, 188, 27520])).
% 5.26/4.79 tff(27527,plain,
% 5.26/4.79 (~m_main_v_request(s157)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21649, 27526, 27525])).
% 5.26/4.79 tff(27528,plain,
% 5.26/4.79 (~node4(s157)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21653, 63, 27527])).
% 5.26/4.79 tff(27529,plain,
% 5.26/4.79 (always3(s159)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[27270, 25508, 13662, 12474, 13665, 13659, 13658, 25497, 13656, 13655, 13654, 25486, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 11264, 13617, 13616, 13615, 13611, 25476, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 25466, 13579, 25456, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 25446, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 25436, 13493, 13491, 13490, 13489, 25425, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.79 tff(27530,plain,
% 5.26/4.79 (~m_main_v_state(s159, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21547, 145, 27529])).
% 5.26/4.79 tff(27531,plain,
% 5.26/4.79 (~node4(s158)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21625, 27530])).
% 5.26/4.79 tff(27532,plain,
% 5.26/4.79 (always3(s160)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4154, 27529])).
% 5.26/4.79 tff(27533,plain,
% 5.26/4.79 (~m_main_v_state(s160, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[9063, 145, 27532])).
% 5.26/4.79 tff(27534,plain,
% 5.26/4.79 (m_main_v_state(s159, c_ready)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21551, 188, 27530])).
% 5.26/4.79 tff(27535,plain,
% 5.26/4.79 (~m_main_v_request(s159)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21540, 27534, 27533])).
% 5.26/4.79 tff(27536,plain,
% 5.26/4.79 (~node4(s159)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21510, 63, 27535])).
% 5.26/4.79 tff(27537,plain,
% 5.26/4.79 (always3(s161)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4142, 27532])).
% 5.26/4.79 tff(27538,plain,
% 5.26/4.79 (always3(s162)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4130, 27537])).
% 5.26/4.79 tff(27539,plain,
% 5.26/4.79 (~m_main_v_state(s162, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4583, 145, 27538])).
% 5.26/4.79 tff(27540,plain,
% 5.26/4.79 (~m_main_v_state(s161, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[9047, 145, 27537])).
% 5.26/4.79 tff(27541,plain,
% 5.26/4.79 (m_main_v_state(s161, c_ready)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21448, 188, 27540])).
% 5.26/4.79 tff(27542,plain,
% 5.26/4.79 (~m_main_v_request(s161)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21457, 27541, 27539])).
% 5.26/4.79 tff(27543,plain,
% 5.26/4.79 (~node4(s161)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[21461, 63, 27542])).
% 5.26/4.79 tff(27544,plain,
% 5.26/4.79 (always3(s163)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[26937, 25508, 13662, 12474, 13665, 13659, 13658, 25497, 13656, 13655, 13654, 25486, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 11264, 13617, 13616, 13615, 13611, 25476, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 25466, 13579, 25456, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 25446, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 25436, 13493, 13491, 13490, 13489, 25425, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.79 tff(27545,plain,
% 5.26/4.79 (always3(s164)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4106, 27544])).
% 5.26/4.79 tff(27546,plain,
% 5.26/4.79 (~m_main_v_state(s164, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[8980, 145, 27545])).
% 5.26/4.79 tff(27547,plain,
% 5.26/4.79 (~m_main_v_state(s163, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4567, 145, 27544])).
% 5.26/4.79 tff(27548,plain,
% 5.26/4.79 (m_main_v_state(s163, c_ready)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[22391, 188, 27547])).
% 5.26/4.79 tff(27549,plain,
% 5.26/4.79 (~m_main_v_request(s163)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[22386, 27548, 27546])).
% 5.26/4.79 tff(27550,plain,
% 5.26/4.79 (~node4(s163)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[22377, 63, 27549])).
% 5.26/4.79 tff(27551,plain,
% 5.26/4.79 (always3(s167)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[26827, 25508, 12474, 13662, 13659, 13658, 25497, 13656, 13655, 13654, 25486, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13611, 25476, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 25466, 13579, 25456, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13665, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 25446, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 25436, 13493, 13491, 13490, 13489, 25425, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.79 tff(27552,plain,
% 5.26/4.79 (always3(s168)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4058, 27551])).
% 5.26/4.79 tff(27553,plain,
% 5.26/4.79 (always3(s169)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4046, 27552])).
% 5.26/4.79 tff(27554,plain,
% 5.26/4.79 (always3(s170)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4034, 27553])).
% 5.26/4.79 tff(27555,plain,
% 5.26/4.79 (always3(s171)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4022, 27554])).
% 5.26/4.79 tff(27556,plain,
% 5.26/4.79 (always3(s172)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[4010, 27555])).
% 5.26/4.79 tff(27557,plain,
% 5.26/4.79 (always3(s173)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[3998, 27556])).
% 5.26/4.79 tff(27558,plain,
% 5.26/4.79 (always3(s174)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[3986, 27557])).
% 5.26/4.79 tff(27559,plain,
% 5.26/4.79 (always3(s175)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[3973, 27558])).
% 5.26/4.79 tff(27560,plain,
% 5.26/4.79 (~m_main_v_state(s175, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[22998, 145, 27559])).
% 5.26/4.79 tff(27561,plain,
% 5.26/4.79 (~m_main_v_state(s174, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[22810, 145, 27558])).
% 5.26/4.79 tff(27562,plain,
% 5.26/4.79 (m_main_v_state(s174, c_ready)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[23019, 188, 27561])).
% 5.26/4.79 tff(27563,plain,
% 5.26/4.79 (~m_main_v_request(s174)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[23014, 27562, 27560])).
% 5.26/4.79 tff(27564,plain,
% 5.26/4.79 (~node4(s174)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[23005, 63, 27563])).
% 5.26/4.79 tff(27565,plain,
% 5.26/4.79 (always3(s176)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[26385, 25508, 13662, 12474, 13665, 13659, 13658, 25497, 13656, 13655, 13654, 25486, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13611, 25476, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 25466, 13579, 25456, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 25446, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 25436, 13493, 13491, 13490, 13489, 25425, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.79 tff(27566,plain,
% 5.26/4.79 (~m_main_v_state(s176, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[23111, 145, 27565])).
% 5.26/4.79 tff(27567,plain,
% 5.26/4.79 (m_main_v_state(s175, c_ready)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[23152, 188, 27560])).
% 5.26/4.79 tff(27568,plain,
% 5.26/4.79 (~m_main_v_request(s175)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[23146, 27567, 27566])).
% 5.26/4.79 tff(27569,plain,
% 5.26/4.79 (~node4(s175)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[23137, 63, 27568])).
% 5.26/4.79 tff(27570,plain,
% 5.26/4.79 (always3(s177)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[3949, 27565])).
% 5.26/4.79 tff(27571,plain,
% 5.26/4.79 (~m_main_v_state(s177, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[8706, 145, 27570])).
% 5.26/4.79 tff(27572,plain,
% 5.26/4.79 (m_main_v_state(s176, c_ready)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[23117, 188, 27566])).
% 5.26/4.79 tff(27573,plain,
% 5.26/4.79 (~m_main_v_request(s176)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[23126, 27572, 27571])).
% 5.26/4.79 tff(27574,plain,
% 5.26/4.79 (~node4(s176)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[23130, 63, 27573])).
% 5.26/4.79 tff(27575,plain,
% 5.26/4.79 (always3(s180)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[26263, 25508, 13662, 12474, 13665, 13659, 13658, 25497, 13656, 13655, 13654, 25486, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13611, 25476, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 25466, 13579, 25456, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 25446, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 25436, 13493, 13491, 13490, 13489, 25425, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.79 tff(27576,plain,
% 5.26/4.79 (~m_main_v_state(s180, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[23086, 145, 27575])).
% 5.26/4.79 tff(27577,plain,
% 5.26/4.79 (always3(s179)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[26344, 25508, 13662, 12474, 13665, 13659, 13658, 25497, 13656, 13655, 13654, 25486, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13611, 25476, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 25466, 13579, 25456, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 25446, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 25436, 13493, 13491, 13490, 13489, 25425, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.26/4.79 tff(27578,plain,
% 5.26/4.79 (~m_main_v_state(s179, c_busy)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[8651, 145, 27577])).
% 5.26/4.79 tff(27579,plain,
% 5.26/4.79 (m_main_v_state(s179, c_ready)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[23199, 188, 27578])).
% 5.26/4.79 tff(27580,plain,
% 5.26/4.79 (~m_main_v_request(s179)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[23178, 27579, 27576])).
% 5.26/4.79 tff(27581,plain,
% 5.26/4.79 (~node4(s179)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[23167, 63, 27580])).
% 5.26/4.79 tff(27582,plain,
% 5.26/4.79 (always3(s181)),
% 5.26/4.79 inference(unit_resolution,[status(thm)],[26181, 25508, 13662, 12474, 13665, 13659, 13658, 25497, 13656, 13655, 13654, 25486, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13611, 25476, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 25466, 13579, 25456, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 25446, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 25436, 13493, 13491, 13490, 13489, 25425, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.32/4.79 tff(27583,plain,
% 5.32/4.79 (~m_main_v_state(s181, c_busy)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23041, 145, 27582])).
% 5.32/4.79 tff(27584,plain,
% 5.32/4.79 (m_main_v_state(s180, c_ready)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23090, 188, 27576])).
% 5.32/4.79 tff(27585,plain,
% 5.32/4.79 (~m_main_v_request(s180)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23079, 27584, 27583])).
% 5.32/4.79 tff(27586,plain,
% 5.32/4.79 (~node4(s180)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23070, 63, 27585])).
% 5.32/4.79 tff(27587,plain,
% 5.32/4.79 (always3(s182)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[3885, 27582])).
% 5.32/4.79 tff(27588,plain,
% 5.32/4.79 (~m_main_v_state(s182, c_busy)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8159, 145, 27587])).
% 5.32/4.79 tff(27589,plain,
% 5.32/4.79 (m_main_v_state(s181, c_ready)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23045, 188, 27583])).
% 5.32/4.79 tff(27590,plain,
% 5.32/4.79 (~m_main_v_request(s181)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23054, 27589, 27588])).
% 5.32/4.79 tff(27591,plain,
% 5.32/4.79 (~node4(s181)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23058, 63, 27590])).
% 5.32/4.79 tff(27592,plain,
% 5.32/4.79 (always3(s183)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[26049, 25508, 13662, 12474, 13665, 13659, 13658, 25497, 13656, 13655, 13654, 25486, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13611, 25476, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 11264, 13583, 13582, 13581, 25466, 13579, 25456, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 25446, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 25436, 13493, 13491, 13490, 13489, 25425, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.32/4.79 tff(27593,plain,
% 5.32/4.79 (always3(s184)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[3857, 27592])).
% 5.32/4.79 tff(27594,plain,
% 5.32/4.79 (~m_main_v_state(s184, c_busy)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8570, 145, 27593])).
% 5.32/4.79 tff(27595,plain,
% 5.32/4.79 (~m_main_v_state(s183, c_busy)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8143, 145, 27592])).
% 5.32/4.79 tff(27596,plain,
% 5.32/4.79 (m_main_v_state(s183, c_ready)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23253, 188, 27595])).
% 5.32/4.79 tff(27597,plain,
% 5.32/4.79 (~m_main_v_request(s183)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23248, 27596, 27594])).
% 5.32/4.79 tff(27598,plain,
% 5.32/4.79 (~node4(s183)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23239, 63, 27597])).
% 5.32/4.79 tff(27599,plain,
% 5.32/4.79 (~until2p7(s183)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[26057, 27598])).
% 5.32/4.79 tff(27600,plain,
% 5.32/4.79 (~xuntil2p8(s182)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8595, 27599])).
% 5.32/4.79 tff(27601,plain,
% 5.32/4.79 (~until2p7(s182)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8600, 27600])).
% 5.32/4.79 tff(27602,plain,
% 5.32/4.79 (~xuntil2p8(s181)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8605, 27601])).
% 5.32/4.79 tff(27603,plain,
% 5.32/4.79 (node4(s181) | (~until2p7(s181))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8609, 8293, 27602])).
% 5.32/4.79 tff(27604,plain,
% 5.32/4.79 (~until2p7(s181)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27603, 27591])).
% 5.32/4.79 tff(27605,plain,
% 5.32/4.79 (~xuntil2p8(s180)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8615, 27604])).
% 5.32/4.79 tff(27606,plain,
% 5.32/4.79 (node4(s180) | (~until2p7(s180))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8620, 8293, 27605])).
% 5.32/4.79 tff(27607,plain,
% 5.32/4.79 (~until2p7(s180)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27606, 27586])).
% 5.32/4.79 tff(27608,plain,
% 5.32/4.79 (~xuntil2p8(s179)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8626, 27607])).
% 5.32/4.79 tff(27609,plain,
% 5.32/4.79 (node4(s179) | (~until2p7(s179))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8631, 8293, 27608])).
% 5.32/4.79 tff(27610,plain,
% 5.32/4.79 (~until2p7(s179)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27609, 27581])).
% 5.32/4.79 tff(27611,plain,
% 5.32/4.79 (~xuntil2p8(s178)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8637, 27610])).
% 5.32/4.79 tff(27612,plain,
% 5.32/4.79 (~until2p7(s178)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8677, 27611])).
% 5.32/4.79 tff(27613,plain,
% 5.32/4.79 (~xuntil2p8(s177)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8682, 27612])).
% 5.32/4.79 tff(27614,plain,
% 5.32/4.79 (~until2p7(s177)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8716, 27613])).
% 5.32/4.79 tff(27615,plain,
% 5.32/4.79 (~xuntil2p8(s176)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8721, 27614])).
% 5.32/4.79 tff(27616,plain,
% 5.32/4.79 (node4(s176) | (~until2p7(s176))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8726, 8293, 27615])).
% 5.32/4.79 tff(27617,plain,
% 5.32/4.79 (~until2p7(s176)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27616, 27574])).
% 5.32/4.79 tff(27618,plain,
% 5.32/4.79 (~xuntil2p8(s175)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8732, 27617])).
% 5.32/4.79 tff(27619,plain,
% 5.32/4.79 (node4(s175) | (~until2p7(s175))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8737, 8293, 27618])).
% 5.32/4.79 tff(27620,plain,
% 5.32/4.79 (~until2p7(s175)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27619, 27569])).
% 5.32/4.79 tff(27621,plain,
% 5.32/4.79 (~xuntil2p8(s174)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8743, 27620])).
% 5.32/4.79 tff(27622,plain,
% 5.32/4.79 (~until2p7(s174)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8748, 8293, 27621, 27564])).
% 5.32/4.79 tff(27623,plain,
% 5.32/4.79 (~xuntil2p8(s173)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8754, 27622])).
% 5.32/4.79 tff(27624,plain,
% 5.32/4.79 (~m_main_v_state(s173, c_busy)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22801, 145, 27557])).
% 5.32/4.79 tff(27625,plain,
% 5.32/4.79 (m_main_v_state(s173, c_ready)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23919, 27624])).
% 5.32/4.79 tff(27626,plain,
% 5.32/4.79 (~m_main_v_request(s173)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22826, 27625, 27561])).
% 5.32/4.79 tff(27627,plain,
% 5.32/4.79 (~node4(s173)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22817, 63, 27626])).
% 5.32/4.79 tff(27628,plain,
% 5.32/4.79 (xuntil2p8(s173) | (~until2p7(s173))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8760, 8293, 27627])).
% 5.32/4.79 tff(27629,plain,
% 5.32/4.79 (~until2p7(s173)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27628, 27623])).
% 5.32/4.79 tff(27630,plain,
% 5.32/4.79 (~xuntil2p8(s172)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8766, 27629])).
% 5.32/4.79 tff(27631,plain,
% 5.32/4.79 (~m_main_v_state(s172, c_busy)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22880, 145, 27556])).
% 5.32/4.79 tff(27632,plain,
% 5.32/4.79 (m_main_v_state(s172, c_ready)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22948, 188, 27631])).
% 5.32/4.79 tff(27633,plain,
% 5.32/4.79 (~m_main_v_request(s172)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22942, 27632, 27624])).
% 5.32/4.79 tff(27634,plain,
% 5.32/4.79 (~node4(s172)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22933, 63, 27633])).
% 5.32/4.79 tff(27635,plain,
% 5.32/4.79 (xuntil2p8(s172) | (~until2p7(s172))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8772, 8293, 27634])).
% 5.32/4.79 tff(27636,plain,
% 5.32/4.79 (~until2p7(s172)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27635, 27630])).
% 5.32/4.79 tff(27637,plain,
% 5.32/4.79 (~xuntil2p8(s171)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8778, 27636])).
% 5.32/4.79 tff(27638,plain,
% 5.32/4.79 (~m_main_v_state(s171, c_busy)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22872, 145, 27555])).
% 5.32/4.79 tff(27639,plain,
% 5.32/4.79 (m_main_v_state(s171, c_ready)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22884, 188, 27638])).
% 5.32/4.79 tff(27640,plain,
% 5.32/4.79 (~m_main_v_request(s171)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22893, 27639, 27631])).
% 5.32/4.79 tff(27641,plain,
% 5.32/4.79 (~node4(s171)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22897, 63, 27640])).
% 5.32/4.79 tff(27642,plain,
% 5.32/4.79 (xuntil2p8(s171) | (~until2p7(s171))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8784, 8293, 27641])).
% 5.32/4.79 tff(27643,plain,
% 5.32/4.79 (~until2p7(s171)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27642, 27637])).
% 5.32/4.79 tff(27644,plain,
% 5.32/4.79 (~xuntil2p8(s170)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8790, 27643])).
% 5.32/4.79 tff(27645,plain,
% 5.32/4.79 (~m_main_v_state(s170, c_busy)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22921, 145, 27554])).
% 5.32/4.79 tff(27646,plain,
% 5.32/4.79 (m_main_v_state(s170, c_ready)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22925, 188, 27645])).
% 5.32/4.79 tff(27647,plain,
% 5.32/4.79 (~m_main_v_request(s170)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22913, 27646, 27638])).
% 5.32/4.79 tff(27648,plain,
% 5.32/4.79 (~node4(s170)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22904, 63, 27647])).
% 5.32/4.79 tff(27649,plain,
% 5.32/4.79 (xuntil2p8(s170) | (~until2p7(s170))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8796, 8293, 27648])).
% 5.32/4.79 tff(27650,plain,
% 5.32/4.79 (~until2p7(s170)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27649, 27644])).
% 5.32/4.79 tff(27651,plain,
% 5.32/4.79 (~xuntil2p8(s169)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8802, 27650])).
% 5.32/4.79 tff(27652,plain,
% 5.32/4.79 (~m_main_v_state(s169, c_busy)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8828, 145, 27553])).
% 5.32/4.79 tff(27653,plain,
% 5.32/4.79 (m_main_v_state(s169, c_ready)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23951, 27652])).
% 5.32/4.79 tff(27654,plain,
% 5.32/4.79 (~m_main_v_request(s169)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22966, 27653, 27645])).
% 5.32/4.79 tff(27655,plain,
% 5.32/4.79 (~node4(s169)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22970, 63, 27654])).
% 5.32/4.79 tff(27656,plain,
% 5.32/4.79 (xuntil2p8(s169) | (~until2p7(s169))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8808, 8293, 27655])).
% 5.32/4.79 tff(27657,plain,
% 5.32/4.79 (~until2p7(s169)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27656, 27651])).
% 5.32/4.79 tff(27658,plain,
% 5.32/4.79 (~xuntil2p8(s168)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8814, 27657])).
% 5.32/4.79 tff(27659,plain,
% 5.32/4.79 (~until2p7(s168)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8854, 27658])).
% 5.32/4.79 tff(27660,plain,
% 5.32/4.79 (~xuntil2p8(s167)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8859, 27659])).
% 5.32/4.79 tff(27661,plain,
% 5.32/4.79 (~m_main_v_state(s168, c_busy)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8844, 145, 27552])).
% 5.32/4.79 tff(27662,plain,
% 5.32/4.79 (~m_main_v_state(s167, c_busy)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8886, 145, 27551])).
% 5.32/4.79 tff(27663,plain,
% 5.32/4.79 (m_main_v_state(s167, c_ready)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23981, 27662])).
% 5.32/4.79 tff(27664,plain,
% 5.32/4.79 (~m_main_v_request(s167)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22436, 27663, 27661])).
% 5.32/4.79 tff(27665,plain,
% 5.32/4.79 (~node4(s167)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[22427, 63, 27664])).
% 5.32/4.79 tff(27666,plain,
% 5.32/4.79 (xuntil2p8(s167) | (~until2p7(s167))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8866, 8293, 27665])).
% 5.32/4.79 tff(27667,plain,
% 5.32/4.79 (~until2p7(s167)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27666, 27660])).
% 5.32/4.79 tff(27668,plain,
% 5.32/4.79 (~xuntil2p8(s166)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8872, 27667])).
% 5.32/4.79 tff(27669,plain,
% 5.32/4.79 (~until2p7(s166)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8912, 27668])).
% 5.32/4.79 tff(27670,plain,
% 5.32/4.79 (~xuntil2p8(s165)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8917, 27669])).
% 5.32/4.79 tff(27671,plain,
% 5.32/4.79 (~until2p7(s165)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8951, 27670])).
% 5.32/4.79 tff(27672,plain,
% 5.32/4.79 (~xuntil2p8(s164)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8956, 27671])).
% 5.32/4.79 tff(27673,plain,
% 5.32/4.79 (~until2p7(s164)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8990, 27672])).
% 5.32/4.79 tff(27674,plain,
% 5.32/4.79 (~xuntil2p8(s163)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[8995, 27673])).
% 5.32/4.79 tff(27675,plain,
% 5.32/4.79 (node4(s163) | (~until2p7(s163))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9004, 8293, 27674])).
% 5.32/4.79 tff(27676,plain,
% 5.32/4.79 (~until2p7(s163)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27675, 27550])).
% 5.32/4.79 tff(27677,plain,
% 5.32/4.79 (~xuntil2p8(s162)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9010, 27676])).
% 5.32/4.79 tff(27678,plain,
% 5.32/4.79 (~until2p7(s162)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9015, 27677])).
% 5.32/4.79 tff(27679,plain,
% 5.32/4.79 (~xuntil2p8(s161)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9020, 27678])).
% 5.32/4.79 tff(27680,plain,
% 5.32/4.79 (node4(s161) | (~until2p7(s161))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9027, 8293, 27679])).
% 5.32/4.79 tff(27681,plain,
% 5.32/4.79 (~until2p7(s161)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27680, 27543])).
% 5.32/4.79 tff(27682,plain,
% 5.32/4.79 (~xuntil2p8(s160)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9033, 27681])).
% 5.32/4.79 tff(27683,plain,
% 5.32/4.79 (~until2p7(s160)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9073, 27682])).
% 5.32/4.79 tff(27684,plain,
% 5.32/4.79 (~xuntil2p8(s159)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9078, 27683])).
% 5.32/4.79 tff(27685,plain,
% 5.32/4.79 (~until2p7(s159)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9085, 8293, 27684, 27536])).
% 5.32/4.79 tff(27686,plain,
% 5.32/4.79 (~xuntil2p8(s158)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9091, 27685])).
% 5.32/4.79 tff(27687,plain,
% 5.32/4.79 (~until2p7(s158)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9097, 8293, 27686, 27531])).
% 5.32/4.79 tff(27688,plain,
% 5.32/4.79 (~xuntil2p8(s157)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9103, 27687])).
% 5.32/4.79 tff(27689,plain,
% 5.32/4.79 (node4(s157) | (~until2p7(s157))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9109, 8293, 27688])).
% 5.32/4.79 tff(27690,plain,
% 5.32/4.79 (~until2p7(s157)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27689, 27528])).
% 5.32/4.79 tff(27691,plain,
% 5.32/4.79 (~xuntil2p8(s156)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9115, 27690])).
% 5.32/4.79 tff(27692,plain,
% 5.32/4.79 (node4(s156) | (~until2p7(s156))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9121, 8293, 27691])).
% 5.32/4.79 tff(27693,plain,
% 5.32/4.79 (~until2p7(s156)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27692, 27523])).
% 5.32/4.79 tff(27694,plain,
% 5.32/4.79 (~xuntil2p8(s155)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9127, 27693])).
% 5.32/4.79 tff(27695,plain,
% 5.32/4.79 (node4(s155) | (~until2p7(s155))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9133, 8293, 27694])).
% 5.32/4.79 tff(27696,plain,
% 5.32/4.79 (~until2p7(s155)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27695, 27518])).
% 5.32/4.79 tff(27697,plain,
% 5.32/4.79 (~xuntil2p8(s154)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9139, 27696])).
% 5.32/4.79 tff(27698,plain,
% 5.32/4.79 (~until2p7(s154)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9145, 8293, 27697, 27513])).
% 5.32/4.79 tff(27699,plain,
% 5.32/4.79 (~xuntil2p8(s153)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9151, 27698])).
% 5.32/4.79 tff(27700,plain,
% 5.32/4.79 (~until2p7(s153)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9191, 27699])).
% 5.32/4.79 tff(27701,plain,
% 5.32/4.79 (~xuntil2p8(s152)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9196, 27700])).
% 5.32/4.79 tff(27702,plain,
% 5.32/4.79 (~until2p7(s152)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9230, 27701])).
% 5.32/4.79 tff(27703,plain,
% 5.32/4.79 (~xuntil2p8(s151)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9235, 27702])).
% 5.32/4.79 tff(27704,plain,
% 5.32/4.79 (node4(s151) | (~until2p7(s151))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9243, 8293, 27703])).
% 5.32/4.79 tff(27705,plain,
% 5.32/4.79 (~until2p7(s151)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27704, 27506])).
% 5.32/4.79 tff(27706,plain,
% 5.32/4.79 (~xuntil2p8(s150)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9249, 27705])).
% 5.32/4.79 tff(27707,plain,
% 5.32/4.79 (~until2p7(s150)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9255, 8293, 27706, 27501])).
% 5.32/4.79 tff(27708,plain,
% 5.32/4.79 (~xuntil2p8(s149)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9261, 27707])).
% 5.32/4.79 tff(27709,plain,
% 5.32/4.79 (~m_main_v_state(s149, c_busy)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9287, 145, 27494])).
% 5.32/4.79 tff(27710,plain,
% 5.32/4.79 (m_main_v_state(s149, c_ready)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[24102, 27709])).
% 5.32/4.79 tff(27711,plain,
% 5.32/4.79 (~m_main_v_request(s149)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[21912, 27710, 27498])).
% 5.32/4.79 tff(27712,plain,
% 5.32/4.79 (~node4(s149)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[21903, 63, 27711])).
% 5.32/4.79 tff(27713,plain,
% 5.32/4.79 (xuntil2p8(s149) | (~until2p7(s149))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9267, 8293, 27712])).
% 5.32/4.79 tff(27714,plain,
% 5.32/4.79 (~until2p7(s149)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27713, 27708])).
% 5.32/4.79 tff(27715,plain,
% 5.32/4.79 (~xuntil2p8(s148)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9273, 27714])).
% 5.32/4.79 tff(27716,plain,
% 5.32/4.79 (~until2p7(s148)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9313, 27715])).
% 5.32/4.79 tff(27717,plain,
% 5.32/4.79 (~trans(s199, s148)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[11460, 27716, 11264])).
% 5.32/4.79 tff(27718,plain,
% 5.32/4.79 (~xuntil2p8(s147)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9318, 27716])).
% 5.32/4.79 tff(27719,plain,
% 5.32/4.79 (~until2p7(s147)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23778, 27718])).
% 5.32/4.79 tff(27720,plain,
% 5.32/4.79 (~xuntil2p8(s146)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9331, 27719])).
% 5.32/4.79 tff(27721,plain,
% 5.32/4.79 (~until2p7(s146)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9336, 27720])).
% 5.32/4.79 tff(27722,plain,
% 5.32/4.79 (~trans(s199, s146)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[11482, 27721, 11264])).
% 5.32/4.79 tff(27723,plain,
% 5.32/4.79 (~trans(s199, s162)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[11515, 27678, 11264])).
% 5.32/4.79 tff(27724,plain,
% 5.32/4.79 (~trans(s199, s149)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[12296, 27714, 11264])).
% 5.32/4.79 tff(27725,plain,
% 5.32/4.79 (~trans(s199, s157)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[11867, 27690, 11264])).
% 5.32/4.79 tff(27726,plain,
% 5.32/4.79 (~trans(s199, s159)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[11669, 27685, 11264])).
% 5.32/4.79 tff(27727,plain,
% 5.32/4.79 (~trans(s199, s154)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[13319, 27698, 11264])).
% 5.32/4.79 tff(27728,plain,
% 5.32/4.79 (~trans(s199, s155)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27463, 27515, 27694, 11264])).
% 5.32/4.79 tff(27729,plain,
% 5.32/4.79 (~trans(s199, s156)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[11779, 27693, 11264])).
% 5.32/4.79 tff(27730,plain,
% 5.32/4.79 (~trans(s199, s150)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27430, 27691, 27520, 11264])).
% 5.32/4.79 tff(27731,plain,
% 5.32/4.79 (~trans(s199, s153)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27336, 27688, 11264])).
% 5.32/4.79 tff(27732,plain,
% 5.32/4.79 (~trans(s199, s158)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[12208, 27687, 11264])).
% 5.32/4.79 tff(27733,plain,
% 5.32/4.79 (~trans(s199, s161)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27005, 27679, 11264])).
% 5.32/4.79 tff(27734,plain,
% 5.32/4.79 (~trans(s199, s160)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27019, 27679, 11264])).
% 5.32/4.79 tff(27735,plain,
% 5.32/4.79 (~trans(s199, s151)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27093, 27679, 11264])).
% 5.32/4.79 tff(27736,plain,
% 5.32/4.79 (~trans(s199, s163)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[12791, 27676, 11264])).
% 5.32/4.79 tff(27737,plain,
% 5.32/4.79 (~trans(s199, s145)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27196, 27679, 11264])).
% 5.32/4.79 tff(27738,plain,
% 5.32/4.79 (~trans(s199, s152)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27262, 27679, 11264])).
% 5.32/4.79 tff(27739,plain,
% 5.32/4.79 (~trans(s199, s164)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[26473, 27618, 27566, 11264])).
% 5.32/4.79 tff(27740,plain,
% 5.32/4.79 (~xuntil2p8(s145)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9341, 27721])).
% 5.32/4.79 tff(27741,plain,
% 5.32/4.79 (~until2p7(s145)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23773, 27740])).
% 5.32/4.79 tff(27742,plain,
% 5.32/4.79 (~xuntil2p8(s144)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9354, 27741])).
% 5.32/4.79 tff(27743,plain,
% 5.32/4.79 (always3(s143)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[26040, 11617])).
% 5.32/4.79 tff(27744,plain,
% 5.32/4.79 (always3(s144)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[4968, 27743])).
% 5.32/4.79 tff(27745,plain,
% 5.32/4.79 (always3(s145)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[4334, 27744])).
% 5.32/4.79 tff(27746,plain,
% 5.32/4.79 (~m_main_v_state(s145, c_busy)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[20984, 145, 27745])).
% 5.32/4.79 tff(27747,plain,
% 5.32/4.79 (~m_main_v_state(s144, c_busy)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[20976, 145, 27744])).
% 5.32/4.79 tff(27748,plain,
% 5.32/4.79 (m_main_v_state(s144, c_ready)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23737, 27747])).
% 5.32/4.79 tff(27749,plain,
% 5.32/4.79 (~m_main_v_request(s144)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[20997, 27748, 27746])).
% 5.32/4.79 tff(27750,plain,
% 5.32/4.79 (~node4(s144)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[21001, 63, 27749])).
% 5.32/4.79 tff(27751,assumption,(~xuntil2p8(s144)), introduced(assumption)).
% 5.32/4.79 tff(27752,plain,
% 5.32/4.79 (node4(s144) | (~until2p7(s144))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9360, 8293, 27751])).
% 5.32/4.79 tff(27753,plain,
% 5.32/4.79 (~until2p7(s144)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27752, 27750])).
% 5.32/4.79 tff(27754,plain,
% 5.32/4.79 (~xuntil2p8(s143)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9366, 27753])).
% 5.32/4.79 tff(27755,plain,
% 5.32/4.79 (until2p7(s143)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[11625, 11617, 11264])).
% 5.32/4.79 tff(27756,plain,
% 5.32/4.79 (node4(s143) | xuntil2p8(s143)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9372, 8293, 27755])).
% 5.32/4.79 tff(27757,plain,
% 5.32/4.79 (node4(s143)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27756, 27754])).
% 5.32/4.79 tff(27758,plain,
% 5.32/4.79 (~m_main_v_state(s143, c_busy)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[20908, 145, 27743])).
% 5.32/4.79 tff(27759,plain,
% 5.32/4.79 (~node1(s142)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23717, 27758])).
% 5.32/4.79 tff(27760,plain,
% 5.32/4.79 (m_main_v_state(s143, c_ready)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23725, 27758, 27759])).
% 5.32/4.79 tff(27761,plain,
% 5.32/4.79 (~m_main_v_request(s143)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[21017, 27760, 27747])).
% 5.32/4.79 tff(27762,plain,
% 5.32/4.79 ($false),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[21008, 63, 27761, 27757])).
% 5.32/4.79 tff(27763,plain,((~trans(s199, s143)) | xuntil2p8(s144) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.32/4.79 tff(27764,plain,
% 5.32/4.79 (~trans(s199, s143)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27763, 27742, 11264])).
% 5.32/4.79 tff(27765,plain,
% 5.32/4.79 (trans(s199, s144)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[26935, 27764, 13665, 13662, 12474, 25508, 13659, 13658, 25497, 13656, 13655, 13654, 25486, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 27739, 13633, 13632, 13631, 13630, 27738, 13628, 13627, 13626, 13624, 13623, 13622, 13621, 13620, 13619, 11264, 13617, 13616, 13615, 27737, 27736, 13611, 25476, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 27735, 27734, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 25466, 13579, 25456, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 27733, 13562, 13561, 27732, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 27731, 27730, 13535, 13534, 13532, 27729, 13530, 27728, 13527, 13526, 13525, 27727, 13518, 25446, 13515, 13514, 13513, 13512, 27726, 13510, 13508, 27725, 13506, 27724, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 27723, 13496, 25436, 27722, 13493, 27717, 13491, 13490, 13489, 25425, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.32/4.79 tff(27766,plain,
% 5.32/4.79 (always3(s144)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[26028, 27765])).
% 5.32/4.79 tff(27767,plain,
% 5.32/4.79 (always3(s145)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[4334, 27766])).
% 5.32/4.79 tff(27768,plain,
% 5.32/4.79 (~m_main_v_state(s145, c_busy)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[20984, 145, 27767])).
% 5.32/4.79 tff(27769,plain,
% 5.32/4.79 (until2p7(s144)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[12241, 27765, 11264])).
% 5.32/4.79 tff(27770,plain,
% 5.32/4.79 (node4(s144) | (~until2p7(s144))),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[9360, 8293, 27742])).
% 5.32/4.79 tff(27771,plain,
% 5.32/4.79 (node4(s144)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[27770, 27769])).
% 5.32/4.79 tff(27772,plain,
% 5.32/4.79 (m_main_v_request(s144)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[21001, 63, 27771])).
% 5.32/4.79 tff(27773,plain,
% 5.32/4.79 (~m_main_v_state(s144, c_busy)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[20976, 145, 27766])).
% 5.32/4.79 tff(27774,plain,
% 5.32/4.79 (m_main_v_state(s144, c_ready)),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[23737, 27773])).
% 5.32/4.79 tff(27775,plain,
% 5.32/4.79 ($false),
% 5.32/4.79 inference(unit_resolution,[status(thm)],[20997, 27774, 27772, 27768])).
% 5.32/4.79 tff(27776,plain,(always3(s142) | (~xuntil6(s199)) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s100) | trans(s199, s83) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s127) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s128) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s120) | trans(s199, s38) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.32/4.80 tff(27777,plain,
% 5.32/4.80 (always3(s142)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27776, 13623, 13665, 13662, 12474, 13659, 13658, 13656, 13655, 13654, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 11264, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13611, 13609, 13608, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13515, 13514, 13513, 13512, 13510, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13496, 13493, 13491, 13490, 13489, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.32/4.80 tff(27778,plain,
% 5.32/4.80 (always3(s143)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5006, 27777])).
% 5.32/4.80 tff(27779,plain,
% 5.32/4.80 (always3(s144)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4968, 27778])).
% 5.32/4.80 tff(27780,plain,
% 5.32/4.80 (always3(s145)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4334, 27779])).
% 5.32/4.80 tff(27781,plain,
% 5.32/4.80 (always3(s146)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4322, 27780])).
% 5.32/4.80 tff(27782,plain,
% 5.32/4.80 (always3(s147)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4310, 27781])).
% 5.32/4.80 tff(27783,plain,
% 5.32/4.80 (always3(s148)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4298, 27782])).
% 5.32/4.80 tff(27784,plain,
% 5.32/4.80 (always3(s149)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4286, 27783])).
% 5.32/4.80 tff(27785,plain,
% 5.32/4.80 (always3(s150)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4274, 27784])).
% 5.32/4.80 tff(27786,plain,
% 5.32/4.80 (always3(s151)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4262, 27785])).
% 5.32/4.80 tff(27787,plain,
% 5.32/4.80 (always3(s152)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4250, 27786])).
% 5.32/4.80 tff(27788,plain,
% 5.32/4.80 (always3(s153)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4238, 27787])).
% 5.32/4.80 tff(27789,plain,
% 5.32/4.80 (always3(s154)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4226, 27788])).
% 5.32/4.80 tff(27790,plain,
% 5.32/4.80 (always3(s155)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4214, 27789])).
% 5.32/4.80 tff(27791,plain,
% 5.32/4.80 (always3(s156)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4202, 27790])).
% 5.32/4.80 tff(27792,plain,
% 5.32/4.80 (always3(s157)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4190, 27791])).
% 5.32/4.80 tff(27793,plain,
% 5.32/4.80 (always3(s158)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4178, 27792])).
% 5.32/4.80 tff(27794,plain,
% 5.32/4.80 (always3(s159)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4166, 27793])).
% 5.32/4.80 tff(27795,plain,
% 5.32/4.80 (always3(s160)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4154, 27794])).
% 5.32/4.80 tff(27796,plain,
% 5.32/4.80 (always3(s161)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4142, 27795])).
% 5.32/4.80 tff(27797,plain,
% 5.32/4.80 (always3(s162)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4130, 27796])).
% 5.32/4.80 tff(27798,plain,
% 5.32/4.80 (always3(s163)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4118, 27797])).
% 5.32/4.80 tff(27799,plain,
% 5.32/4.80 (always3(s164)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4106, 27798])).
% 5.32/4.80 tff(27800,plain,
% 5.32/4.80 (always3(s165)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4094, 27799])).
% 5.32/4.80 tff(27801,plain,
% 5.32/4.80 (always3(s166)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4082, 27800])).
% 5.32/4.80 tff(27802,plain,
% 5.32/4.80 (always3(s167)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4070, 27801])).
% 5.32/4.80 tff(27803,plain,
% 5.32/4.80 (always3(s168)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4058, 27802])).
% 5.32/4.80 tff(27804,plain,
% 5.32/4.80 (always3(s169)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4046, 27803])).
% 5.32/4.80 tff(27805,plain,
% 5.32/4.80 (always3(s170)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4034, 27804])).
% 5.32/4.80 tff(27806,plain,
% 5.32/4.80 (always3(s171)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4022, 27805])).
% 5.32/4.80 tff(27807,plain,
% 5.32/4.80 (always3(s172)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4010, 27806])).
% 5.32/4.80 tff(27808,plain,
% 5.32/4.80 (always3(s173)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[3998, 27807])).
% 5.32/4.80 tff(27809,plain,
% 5.32/4.80 (always3(s174)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[3986, 27808])).
% 5.32/4.80 tff(27810,plain,
% 5.32/4.80 (always3(s175)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[3973, 27809])).
% 5.32/4.80 tff(27811,plain,
% 5.32/4.80 (always3(s176)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[3961, 27810])).
% 5.32/4.80 tff(27812,plain,
% 5.32/4.80 (always3(s177)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[3949, 27811])).
% 5.32/4.80 tff(27813,plain,
% 5.32/4.80 (always3(s178)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[3937, 27812])).
% 5.32/4.80 tff(27814,plain,
% 5.32/4.80 (always3(s179)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[3925, 27813])).
% 5.32/4.80 tff(27815,plain,
% 5.32/4.80 (always3(s180)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[3913, 27814])).
% 5.32/4.80 tff(27816,plain,
% 5.32/4.80 (always3(s181)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[3901, 27815])).
% 5.32/4.80 tff(27817,plain,
% 5.32/4.80 (~m_main_v_state(s181, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23041, 145, 27816])).
% 5.32/4.80 tff(27818,plain,
% 5.32/4.80 (~m_main_v_state(s180, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23086, 145, 27815])).
% 5.32/4.80 tff(27819,plain,
% 5.32/4.80 (m_main_v_state(s180, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23090, 188, 27818])).
% 5.32/4.80 tff(27820,plain,
% 5.32/4.80 (~m_main_v_request(s180)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23079, 27819, 27817])).
% 5.32/4.80 tff(27821,plain,
% 5.32/4.80 (~node4(s180)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23070, 63, 27820])).
% 5.32/4.80 tff(27822,plain,
% 5.32/4.80 (always3(s182)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[3885, 27816])).
% 5.32/4.80 tff(27823,plain,
% 5.32/4.80 (~m_main_v_state(s182, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8159, 145, 27822])).
% 5.32/4.80 tff(27824,plain,
% 5.32/4.80 (m_main_v_state(s181, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23045, 188, 27817])).
% 5.32/4.80 tff(27825,plain,
% 5.32/4.80 (~m_main_v_request(s181)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23054, 27824, 27823])).
% 5.32/4.80 tff(27826,plain,
% 5.32/4.80 (~node4(s181)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23058, 63, 27825])).
% 5.32/4.80 tff(27827,plain,
% 5.32/4.80 (always3(s183)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[3873, 27822])).
% 5.32/4.80 tff(27828,plain,
% 5.32/4.80 (always3(s184)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[3857, 27827])).
% 5.32/4.80 tff(27829,plain,
% 5.32/4.80 (~m_main_v_state(s184, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8570, 145, 27828])).
% 5.32/4.80 tff(27830,plain,
% 5.32/4.80 (~m_main_v_state(s183, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8143, 145, 27827])).
% 5.32/4.80 tff(27831,plain,
% 5.32/4.80 (m_main_v_state(s182, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23834, 27823])).
% 5.32/4.80 tff(27832,plain,
% 5.32/4.80 (m_main_v_state(s183, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23852, 27831, 27830])).
% 5.32/4.80 tff(27833,plain,
% 5.32/4.80 (~m_main_v_request(s183)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23248, 27832, 27829])).
% 5.32/4.80 tff(27834,plain,
% 5.32/4.80 (~node4(s183)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23239, 63, 27833])).
% 5.32/4.80 tff(27835,plain,
% 5.32/4.80 (~until2p7(s183)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[26057, 27834])).
% 5.32/4.80 tff(27836,plain,
% 5.32/4.80 (~xuntil2p8(s182)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8595, 27835])).
% 5.32/4.80 tff(27837,plain,
% 5.32/4.80 (~until2p7(s182)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8600, 27836])).
% 5.32/4.80 tff(27838,plain,
% 5.32/4.80 (~xuntil2p8(s181)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8605, 27837])).
% 5.32/4.80 tff(27839,plain,
% 5.32/4.80 (~until2p7(s181)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8609, 8293, 27838, 27826])).
% 5.32/4.80 tff(27840,plain,
% 5.32/4.80 (~xuntil2p8(s180)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8615, 27839])).
% 5.32/4.80 tff(27841,plain,
% 5.32/4.80 (~until2p7(s180)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8620, 8293, 27840, 27821])).
% 5.32/4.80 tff(27842,plain,
% 5.32/4.80 (~xuntil2p8(s179)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8626, 27841])).
% 5.32/4.80 tff(27843,plain,
% 5.32/4.80 (~m_main_v_state(s179, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8651, 145, 27814])).
% 5.32/4.80 tff(27844,plain,
% 5.32/4.80 (m_main_v_state(s179, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23199, 188, 27843])).
% 5.32/4.80 tff(27845,plain,
% 5.32/4.80 (~m_main_v_request(s179)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23178, 27844, 27818])).
% 5.32/4.80 tff(27846,plain,
% 5.32/4.80 (~node4(s179)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23167, 63, 27845])).
% 5.32/4.80 tff(27847,plain,
% 5.32/4.80 (xuntil2p8(s179) | (~until2p7(s179))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8631, 8293, 27846])).
% 5.32/4.80 tff(27848,plain,
% 5.32/4.80 (~until2p7(s179)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27847, 27842])).
% 5.32/4.80 tff(27849,plain,
% 5.32/4.80 (~xuntil2p8(s178)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8637, 27848])).
% 5.32/4.80 tff(27850,plain,
% 5.32/4.80 (~until2p7(s178)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8677, 27849])).
% 5.32/4.80 tff(27851,plain,
% 5.32/4.80 (~xuntil2p8(s177)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8682, 27850])).
% 5.32/4.80 tff(27852,plain,
% 5.32/4.80 (~until2p7(s177)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8716, 27851])).
% 5.32/4.80 tff(27853,plain,
% 5.32/4.80 (~xuntil2p8(s176)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8721, 27852])).
% 5.32/4.80 tff(27854,plain,
% 5.32/4.80 (~m_main_v_state(s177, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8706, 145, 27812])).
% 5.32/4.80 tff(27855,plain,
% 5.32/4.80 (~m_main_v_state(s176, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23111, 145, 27811])).
% 5.32/4.80 tff(27856,plain,
% 5.32/4.80 (m_main_v_state(s176, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23117, 188, 27855])).
% 5.32/4.80 tff(27857,plain,
% 5.32/4.80 (~m_main_v_request(s176)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23126, 27856, 27854])).
% 5.32/4.80 tff(27858,plain,
% 5.32/4.80 (~node4(s176)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23130, 63, 27857])).
% 5.32/4.80 tff(27859,plain,
% 5.32/4.80 (xuntil2p8(s176) | (~until2p7(s176))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8726, 8293, 27858])).
% 5.32/4.80 tff(27860,plain,
% 5.32/4.80 (~until2p7(s176)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27859, 27853])).
% 5.32/4.80 tff(27861,plain,
% 5.32/4.80 (~xuntil2p8(s175)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8732, 27860])).
% 5.32/4.80 tff(27862,plain,
% 5.32/4.80 (~m_main_v_state(s175, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22998, 145, 27810])).
% 5.32/4.80 tff(27863,plain,
% 5.32/4.80 (m_main_v_state(s175, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23152, 188, 27862])).
% 5.32/4.80 tff(27864,plain,
% 5.32/4.80 (~m_main_v_request(s175)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23146, 27863, 27855])).
% 5.32/4.80 tff(27865,plain,
% 5.32/4.80 (~node4(s175)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23137, 63, 27864])).
% 5.32/4.80 tff(27866,plain,
% 5.32/4.80 (xuntil2p8(s175) | (~until2p7(s175))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8737, 8293, 27865])).
% 5.32/4.80 tff(27867,plain,
% 5.32/4.80 (~until2p7(s175)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27866, 27861])).
% 5.32/4.80 tff(27868,plain,
% 5.32/4.80 (~xuntil2p8(s174)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8743, 27867])).
% 5.32/4.80 tff(27869,plain,
% 5.32/4.80 (~m_main_v_state(s174, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22810, 145, 27809])).
% 5.32/4.80 tff(27870,plain,
% 5.32/4.80 (m_main_v_state(s174, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23019, 188, 27869])).
% 5.32/4.80 tff(27871,plain,
% 5.32/4.80 (~m_main_v_request(s174)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23014, 27870, 27862])).
% 5.32/4.80 tff(27872,plain,
% 5.32/4.80 (~node4(s174)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23005, 63, 27871])).
% 5.32/4.80 tff(27873,plain,
% 5.32/4.80 (xuntil2p8(s174) | (~until2p7(s174))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8748, 8293, 27872])).
% 5.32/4.80 tff(27874,plain,
% 5.32/4.80 (~until2p7(s174)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27873, 27868])).
% 5.32/4.80 tff(27875,plain,
% 5.32/4.80 (~xuntil2p8(s173)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8754, 27874])).
% 5.32/4.80 tff(27876,plain,
% 5.32/4.80 (~m_main_v_state(s173, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22801, 145, 27808])).
% 5.32/4.80 tff(27877,plain,
% 5.32/4.80 (m_main_v_state(s173, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23919, 27876])).
% 5.32/4.80 tff(27878,plain,
% 5.32/4.80 (~m_main_v_request(s173)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22826, 27877, 27869])).
% 5.32/4.80 tff(27879,plain,
% 5.32/4.80 (~node4(s173)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22817, 63, 27878])).
% 5.32/4.80 tff(27880,plain,
% 5.32/4.80 (xuntil2p8(s173) | (~until2p7(s173))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8760, 8293, 27879])).
% 5.32/4.80 tff(27881,plain,
% 5.32/4.80 (~until2p7(s173)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27880, 27875])).
% 5.32/4.80 tff(27882,plain,
% 5.32/4.80 (~xuntil2p8(s172)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8766, 27881])).
% 5.32/4.80 tff(27883,plain,
% 5.32/4.80 (~m_main_v_state(s172, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22880, 145, 27807])).
% 5.32/4.80 tff(27884,plain,
% 5.32/4.80 (m_main_v_state(s172, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22948, 188, 27883])).
% 5.32/4.80 tff(27885,plain,
% 5.32/4.80 (~m_main_v_request(s172)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22942, 27884, 27876])).
% 5.32/4.80 tff(27886,plain,
% 5.32/4.80 (~node4(s172)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22933, 63, 27885])).
% 5.32/4.80 tff(27887,plain,
% 5.32/4.80 (xuntil2p8(s172) | (~until2p7(s172))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8772, 8293, 27886])).
% 5.32/4.80 tff(27888,plain,
% 5.32/4.80 (~until2p7(s172)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27887, 27882])).
% 5.32/4.80 tff(27889,plain,
% 5.32/4.80 (~xuntil2p8(s171)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8778, 27888])).
% 5.32/4.80 tff(27890,plain,
% 5.32/4.80 (~m_main_v_state(s171, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22872, 145, 27806])).
% 5.32/4.80 tff(27891,plain,
% 5.32/4.80 (m_main_v_state(s171, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22884, 188, 27890])).
% 5.32/4.80 tff(27892,plain,
% 5.32/4.80 (~m_main_v_request(s171)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22893, 27891, 27883])).
% 5.32/4.80 tff(27893,plain,
% 5.32/4.80 (~node4(s171)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22897, 63, 27892])).
% 5.32/4.80 tff(27894,plain,
% 5.32/4.80 (xuntil2p8(s171) | (~until2p7(s171))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8784, 8293, 27893])).
% 5.32/4.80 tff(27895,plain,
% 5.32/4.80 (~until2p7(s171)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27894, 27889])).
% 5.32/4.80 tff(27896,plain,
% 5.32/4.80 (~xuntil2p8(s170)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8790, 27895])).
% 5.32/4.80 tff(27897,plain,
% 5.32/4.80 (~m_main_v_state(s170, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22921, 145, 27805])).
% 5.32/4.80 tff(27898,plain,
% 5.32/4.80 (m_main_v_state(s170, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22925, 188, 27897])).
% 5.32/4.80 tff(27899,plain,
% 5.32/4.80 (~m_main_v_request(s170)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22913, 27898, 27890])).
% 5.32/4.80 tff(27900,plain,
% 5.32/4.80 (~node4(s170)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22904, 63, 27899])).
% 5.32/4.80 tff(27901,plain,
% 5.32/4.80 (xuntil2p8(s170) | (~until2p7(s170))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8796, 8293, 27900])).
% 5.32/4.80 tff(27902,plain,
% 5.32/4.80 (~until2p7(s170)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27901, 27896])).
% 5.32/4.80 tff(27903,plain,
% 5.32/4.80 (~xuntil2p8(s169)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8802, 27902])).
% 5.32/4.80 tff(27904,plain,
% 5.32/4.80 (~m_main_v_state(s169, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8828, 145, 27804])).
% 5.32/4.80 tff(27905,plain,
% 5.32/4.80 (m_main_v_state(s169, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23951, 27904])).
% 5.32/4.80 tff(27906,plain,
% 5.32/4.80 (~m_main_v_request(s169)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22966, 27905, 27897])).
% 5.32/4.80 tff(27907,plain,
% 5.32/4.80 (~node4(s169)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22970, 63, 27906])).
% 5.32/4.80 tff(27908,plain,
% 5.32/4.80 (xuntil2p8(s169) | (~until2p7(s169))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8808, 8293, 27907])).
% 5.32/4.80 tff(27909,plain,
% 5.32/4.80 (~until2p7(s169)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27908, 27903])).
% 5.32/4.80 tff(27910,plain,
% 5.32/4.80 (~xuntil2p8(s168)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8814, 27909])).
% 5.32/4.80 tff(27911,plain,
% 5.32/4.80 (~until2p7(s168)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8854, 27910])).
% 5.32/4.80 tff(27912,plain,
% 5.32/4.80 (~trans(s199, s168)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[13088, 27911, 11264])).
% 5.32/4.80 tff(27913,plain,
% 5.32/4.80 (~xuntil2p8(s167)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8859, 27911])).
% 5.32/4.80 tff(27914,plain,
% 5.32/4.80 (~m_main_v_state(s168, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8844, 145, 27803])).
% 5.32/4.80 tff(27915,plain,
% 5.32/4.80 (~m_main_v_state(s167, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8886, 145, 27802])).
% 5.32/4.80 tff(27916,plain,
% 5.32/4.80 (m_main_v_state(s167, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23981, 27915])).
% 5.32/4.80 tff(27917,plain,
% 5.32/4.80 (~m_main_v_request(s167)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22436, 27916, 27914])).
% 5.32/4.80 tff(27918,plain,
% 5.32/4.80 (~node4(s167)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22427, 63, 27917])).
% 5.32/4.80 tff(27919,plain,
% 5.32/4.80 (xuntil2p8(s167) | (~until2p7(s167))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8866, 8293, 27918])).
% 5.32/4.80 tff(27920,plain,
% 5.32/4.80 (~until2p7(s167)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27919, 27913])).
% 5.32/4.80 tff(27921,plain,
% 5.32/4.80 (~trans(s199, s167)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[12967, 27920, 11264])).
% 5.32/4.80 tff(27922,plain,
% 5.32/4.80 (~trans(s199, s182)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[11394, 27837, 11264])).
% 5.32/4.80 tff(27923,plain,
% 5.32/4.80 (~trans(s199, s183)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[11405, 27835, 11264])).
% 5.32/4.80 tff(27924,plain,
% 5.32/4.80 (~m_main_v_state(s142, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20931, 145, 27777])).
% 5.32/4.80 tff(27925,plain,
% 5.32/4.80 (~node4(s141)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20964, 27924])).
% 5.32/4.80 tff(27926,plain,
% 5.32/4.80 (~xuntil2p8(s166)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8872, 27920])).
% 5.32/4.80 tff(27927,plain,
% 5.32/4.80 (~until2p7(s166)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8912, 27926])).
% 5.32/4.80 tff(27928,plain,
% 5.32/4.80 (~xuntil2p8(s165)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8917, 27927])).
% 5.32/4.80 tff(27929,plain,
% 5.32/4.80 (~until2p7(s165)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8951, 27928])).
% 5.32/4.80 tff(27930,plain,
% 5.32/4.80 (~xuntil2p8(s164)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8956, 27929])).
% 5.32/4.80 tff(27931,plain,
% 5.32/4.80 (~until2p7(s164)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8990, 27930])).
% 5.32/4.80 tff(27932,plain,
% 5.32/4.80 (~xuntil2p8(s163)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8995, 27931])).
% 5.32/4.80 tff(27933,plain,
% 5.32/4.80 (~m_main_v_state(s164, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[8980, 145, 27799])).
% 5.32/4.80 tff(27934,plain,
% 5.32/4.80 (~m_main_v_state(s163, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4567, 145, 27798])).
% 5.32/4.80 tff(27935,plain,
% 5.32/4.80 (m_main_v_state(s163, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22391, 188, 27934])).
% 5.32/4.80 tff(27936,plain,
% 5.32/4.80 (~m_main_v_request(s163)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22386, 27935, 27933])).
% 5.32/4.80 tff(27937,plain,
% 5.32/4.80 (~node4(s163)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[22377, 63, 27936])).
% 5.32/4.80 tff(27938,plain,
% 5.32/4.80 (xuntil2p8(s163) | (~until2p7(s163))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9004, 8293, 27937])).
% 5.32/4.80 tff(27939,plain,
% 5.32/4.80 (~until2p7(s163)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27938, 27932])).
% 5.32/4.80 tff(27940,plain,
% 5.32/4.80 (~xuntil2p8(s162)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9010, 27939])).
% 5.32/4.80 tff(27941,plain,
% 5.32/4.80 (~until2p7(s162)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9015, 27940])).
% 5.32/4.80 tff(27942,plain,
% 5.32/4.80 (~xuntil2p8(s161)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9020, 27941])).
% 5.32/4.80 tff(27943,plain,
% 5.32/4.80 (~m_main_v_state(s162, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[4583, 145, 27797])).
% 5.32/4.80 tff(27944,plain,
% 5.32/4.80 (~m_main_v_state(s161, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9047, 145, 27796])).
% 5.32/4.80 tff(27945,plain,
% 5.32/4.80 (m_main_v_state(s161, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21448, 188, 27944])).
% 5.32/4.80 tff(27946,plain,
% 5.32/4.80 (~m_main_v_request(s161)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21457, 27945, 27943])).
% 5.32/4.80 tff(27947,plain,
% 5.32/4.80 (~node4(s161)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21461, 63, 27946])).
% 5.32/4.80 tff(27948,plain,
% 5.32/4.80 (xuntil2p8(s161) | (~until2p7(s161))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9027, 8293, 27947])).
% 5.32/4.80 tff(27949,plain,
% 5.32/4.80 (~until2p7(s161)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27948, 27942])).
% 5.32/4.80 tff(27950,plain,
% 5.32/4.80 (~xuntil2p8(s160)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9033, 27949])).
% 5.32/4.80 tff(27951,plain,
% 5.32/4.80 (~until2p7(s160)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9073, 27950])).
% 5.32/4.80 tff(27952,plain,
% 5.32/4.80 (~xuntil2p8(s159)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9078, 27951])).
% 5.32/4.80 tff(27953,plain,
% 5.32/4.80 (~m_main_v_state(s160, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9063, 145, 27795])).
% 5.32/4.80 tff(27954,plain,
% 5.32/4.80 (~m_main_v_state(s159, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21547, 145, 27794])).
% 5.32/4.80 tff(27955,plain,
% 5.32/4.80 (~m_main_v_state(s158, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21560, 145, 27793])).
% 5.32/4.80 tff(27956,plain,
% 5.32/4.80 (m_main_v_state(s158, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21583, 27955])).
% 5.32/4.80 tff(27957,plain,
% 5.32/4.80 (m_main_v_state(s159, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21609, 27956, 27954])).
% 5.32/4.80 tff(27958,plain,
% 5.32/4.80 (~m_main_v_request(s159)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21540, 27957, 27953])).
% 5.32/4.80 tff(27959,plain,
% 5.32/4.80 (~node4(s159)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21510, 63, 27958])).
% 5.32/4.80 tff(27960,plain,
% 5.32/4.80 (xuntil2p8(s159) | (~until2p7(s159))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9085, 8293, 27959])).
% 5.32/4.80 tff(27961,plain,
% 5.32/4.80 (~until2p7(s159)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27960, 27952])).
% 5.32/4.80 tff(27962,plain,
% 5.32/4.80 (~xuntil2p8(s158)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9091, 27961])).
% 5.32/4.80 tff(27963,plain,
% 5.32/4.80 (~node4(s158)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21625, 27954])).
% 5.32/4.80 tff(27964,plain,
% 5.32/4.80 (xuntil2p8(s158) | (~until2p7(s158))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9097, 8293, 27963])).
% 5.32/4.80 tff(27965,plain,
% 5.32/4.80 (~until2p7(s158)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27964, 27962])).
% 5.32/4.80 tff(27966,plain,
% 5.32/4.80 (~xuntil2p8(s157)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9103, 27965])).
% 5.32/4.80 tff(27967,plain,
% 5.32/4.80 (~m_main_v_state(s157, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21636, 145, 27792])).
% 5.32/4.80 tff(27968,plain,
% 5.32/4.80 (m_main_v_state(s157, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21640, 188, 27967])).
% 5.32/4.80 tff(27969,plain,
% 5.32/4.80 (~m_main_v_request(s157)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21649, 27968, 27955])).
% 5.32/4.80 tff(27970,plain,
% 5.32/4.80 (~node4(s157)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21653, 63, 27969])).
% 5.32/4.80 tff(27971,plain,
% 5.32/4.80 (xuntil2p8(s157) | (~until2p7(s157))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9109, 8293, 27970])).
% 5.32/4.80 tff(27972,plain,
% 5.32/4.80 (~until2p7(s157)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27971, 27966])).
% 5.32/4.80 tff(27973,plain,
% 5.32/4.80 (~xuntil2p8(s156)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9115, 27972])).
% 5.32/4.80 tff(27974,plain,
% 5.32/4.80 (~m_main_v_state(s156, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21663, 145, 27791])).
% 5.32/4.80 tff(27975,plain,
% 5.32/4.80 (m_main_v_state(s156, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21667, 188, 27974])).
% 5.32/4.80 tff(27976,plain,
% 5.32/4.80 (~m_main_v_request(s156)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21751, 27975, 27967])).
% 5.32/4.80 tff(27977,plain,
% 5.32/4.80 (~node4(s156)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21742, 63, 27976])).
% 5.32/4.80 tff(27978,plain,
% 5.32/4.80 (xuntil2p8(s156) | (~until2p7(s156))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9121, 8293, 27977])).
% 5.32/4.80 tff(27979,plain,
% 5.32/4.80 (~until2p7(s156)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27978, 27973])).
% 5.32/4.80 tff(27980,plain,
% 5.32/4.80 (~xuntil2p8(s155)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9127, 27979])).
% 5.32/4.80 tff(27981,plain,
% 5.32/4.80 (~m_main_v_state(s155, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21693, 145, 27790])).
% 5.32/4.80 tff(27982,plain,
% 5.32/4.80 (m_main_v_state(s155, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21698, 188, 27981])).
% 5.32/4.80 tff(27983,plain,
% 5.32/4.80 (~m_main_v_request(s155)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21707, 27982, 27974])).
% 5.32/4.80 tff(27984,plain,
% 5.32/4.80 (~node4(s155)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21711, 63, 27983])).
% 5.32/4.80 tff(27985,plain,
% 5.32/4.80 (xuntil2p8(s155) | (~until2p7(s155))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9133, 8293, 27984])).
% 5.32/4.80 tff(27986,plain,
% 5.32/4.80 (~until2p7(s155)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27985, 27980])).
% 5.32/4.80 tff(27987,plain,
% 5.32/4.80 (~xuntil2p8(s154)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9139, 27986])).
% 5.32/4.80 tff(27988,plain,
% 5.32/4.80 (~m_main_v_state(s154, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9165, 145, 27789])).
% 5.32/4.80 tff(27989,plain,
% 5.32/4.80 (m_main_v_state(s154, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21733, 188, 27988])).
% 5.32/4.80 tff(27990,plain,
% 5.32/4.80 (~m_main_v_request(s154)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21727, 27989, 27981])).
% 5.32/4.80 tff(27991,plain,
% 5.32/4.80 (~node4(s154)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21718, 63, 27990])).
% 5.32/4.80 tff(27992,plain,
% 5.32/4.80 (xuntil2p8(s154) | (~until2p7(s154))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9145, 8293, 27991])).
% 5.32/4.80 tff(27993,plain,
% 5.32/4.80 (~until2p7(s154)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27992, 27987])).
% 5.32/4.80 tff(27994,plain,
% 5.32/4.80 (~xuntil2p8(s153)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9151, 27993])).
% 5.32/4.80 tff(27995,plain,
% 5.32/4.80 (~until2p7(s153)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9191, 27994])).
% 5.32/4.80 tff(27996,plain,
% 5.32/4.80 (~xuntil2p8(s152)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9196, 27995])).
% 5.32/4.80 tff(27997,plain,
% 5.32/4.80 (~until2p7(s152)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9230, 27996])).
% 5.32/4.80 tff(27998,plain,
% 5.32/4.80 (~xuntil2p8(s151)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9235, 27997])).
% 5.32/4.80 tff(27999,plain,
% 5.32/4.80 (~m_main_v_state(s152, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9220, 145, 27787])).
% 5.32/4.80 tff(28000,plain,
% 5.32/4.80 (~m_main_v_state(s151, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21839, 145, 27786])).
% 5.32/4.80 tff(28001,plain,
% 5.32/4.80 (m_main_v_state(s151, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[24065, 28000])).
% 5.32/4.80 tff(28002,plain,
% 5.32/4.80 (~m_main_v_request(s151)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21852, 28001, 27999])).
% 5.32/4.80 tff(28003,plain,
% 5.32/4.80 (~node4(s151)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21856, 63, 28002])).
% 5.32/4.80 tff(28004,plain,
% 5.32/4.80 (xuntil2p8(s151) | (~until2p7(s151))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9243, 8293, 28003])).
% 5.32/4.80 tff(28005,plain,
% 5.32/4.80 (~until2p7(s151)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28004, 27998])).
% 5.32/4.80 tff(28006,plain,
% 5.32/4.80 (~xuntil2p8(s150)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9249, 28005])).
% 5.32/4.80 tff(28007,plain,
% 5.32/4.80 (~m_main_v_state(s150, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21867, 145, 27785])).
% 5.32/4.80 tff(28008,plain,
% 5.32/4.80 (m_main_v_state(s150, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21891, 188, 28007])).
% 5.32/4.80 tff(28009,plain,
% 5.32/4.80 (~m_main_v_request(s150)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21886, 28008, 28000])).
% 5.32/4.80 tff(28010,plain,
% 5.32/4.80 (~node4(s150)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21877, 63, 28009])).
% 5.32/4.80 tff(28011,plain,
% 5.32/4.80 (xuntil2p8(s150) | (~until2p7(s150))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9255, 8293, 28010])).
% 5.32/4.80 tff(28012,plain,
% 5.32/4.80 (~until2p7(s150)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28011, 28006])).
% 5.32/4.80 tff(28013,plain,
% 5.32/4.80 (~xuntil2p8(s149)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9261, 28012])).
% 5.32/4.80 tff(28014,plain,
% 5.32/4.80 (~m_main_v_state(s149, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9287, 145, 27784])).
% 5.32/4.80 tff(28015,plain,
% 5.32/4.80 (m_main_v_state(s149, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[24102, 28014])).
% 5.32/4.80 tff(28016,plain,
% 5.32/4.80 (~m_main_v_request(s149)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21912, 28015, 28007])).
% 5.32/4.80 tff(28017,plain,
% 5.32/4.80 (~node4(s149)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21903, 63, 28016])).
% 5.32/4.80 tff(28018,plain,
% 5.32/4.80 (xuntil2p8(s149) | (~until2p7(s149))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9267, 8293, 28017])).
% 5.32/4.80 tff(28019,plain,
% 5.32/4.80 (~until2p7(s149)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28018, 28013])).
% 5.32/4.80 tff(28020,plain,
% 5.32/4.80 (~xuntil2p8(s148)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9273, 28019])).
% 5.32/4.80 tff(28021,plain,
% 5.32/4.80 (~until2p7(s148)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9313, 28020])).
% 5.32/4.80 tff(28022,plain,
% 5.32/4.80 (~xuntil2p8(s147)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9318, 28021])).
% 5.32/4.80 tff(28023,plain,
% 5.32/4.80 (~until2p7(s147)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23778, 28022])).
% 5.32/4.80 tff(28024,plain,
% 5.32/4.80 (~xuntil2p8(s146)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9331, 28023])).
% 5.32/4.80 tff(28025,plain,
% 5.32/4.80 (~until2p7(s146)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9336, 28024])).
% 5.32/4.80 tff(28026,plain,
% 5.32/4.80 (~xuntil2p8(s145)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9341, 28025])).
% 5.32/4.80 tff(28027,plain,
% 5.32/4.80 (~until2p7(s145)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23773, 28026])).
% 5.32/4.80 tff(28028,plain,
% 5.32/4.80 (~xuntil2p8(s144)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9354, 28027])).
% 5.32/4.80 tff(28029,plain,
% 5.32/4.80 (~m_main_v_state(s145, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20984, 145, 27780])).
% 5.32/4.80 tff(28030,plain,
% 5.32/4.80 (~m_main_v_state(s144, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20976, 145, 27779])).
% 5.32/4.80 tff(28031,plain,
% 5.32/4.80 (m_main_v_state(s144, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23737, 28030])).
% 5.32/4.80 tff(28032,plain,
% 5.32/4.80 (~m_main_v_request(s144)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20997, 28031, 28029])).
% 5.32/4.80 tff(28033,plain,
% 5.32/4.80 (~node4(s144)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21001, 63, 28032])).
% 5.32/4.80 tff(28034,plain,
% 5.32/4.80 (xuntil2p8(s144) | (~until2p7(s144))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9360, 8293, 28033])).
% 5.32/4.80 tff(28035,plain,
% 5.32/4.80 (~until2p7(s144)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28034, 28028])).
% 5.32/4.80 tff(28036,plain,
% 5.32/4.80 (~xuntil2p8(s143)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9366, 28035])).
% 5.32/4.80 tff(28037,plain,
% 5.32/4.80 (~m_main_v_state(s143, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20908, 145, 27778])).
% 5.32/4.80 tff(28038,plain,
% 5.32/4.80 (~node1(s142)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23717, 28037])).
% 5.32/4.80 tff(28039,plain,
% 5.32/4.80 (m_main_v_state(s143, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23725, 28037, 28038])).
% 5.32/4.80 tff(28040,plain,
% 5.32/4.80 (~m_main_v_request(s143)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21017, 28039, 28030])).
% 5.32/4.80 tff(28041,plain,
% 5.32/4.80 (~node4(s143)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[21008, 63, 28040])).
% 5.32/4.80 tff(28042,plain,
% 5.32/4.80 (xuntil2p8(s143) | (~until2p7(s143))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9372, 8293, 28041])).
% 5.32/4.80 tff(28043,plain,
% 5.32/4.80 (~until2p7(s143)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28042, 28036])).
% 5.32/4.80 tff(28044,plain,
% 5.32/4.80 (~xuntil2p8(s142)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9378, 28043])).
% 5.32/4.80 tff(28045,plain,
% 5.32/4.80 (m_main_v_state(s142, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20935, 188, 27924])).
% 5.32/4.80 tff(28046,plain,
% 5.32/4.80 (~m_main_v_request(s142)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20924, 28045, 28037])).
% 5.32/4.80 tff(28047,plain,
% 5.32/4.80 (~node4(s142)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20915, 63, 28046])).
% 5.32/4.80 tff(28048,plain,
% 5.32/4.80 (xuntil2p8(s142) | (~until2p7(s142))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9384, 8293, 28047])).
% 5.32/4.80 tff(28049,plain,
% 5.32/4.80 (~until2p7(s142)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28048, 28044])).
% 5.32/4.80 tff(28050,plain,
% 5.32/4.80 (~xuntil2p8(s141)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9390, 28049])).
% 5.32/4.80 tff(28051,plain,
% 5.32/4.80 (~until2p7(s141)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9396, 8293, 28050, 27925])).
% 5.32/4.80 tff(28052,plain,
% 5.32/4.80 (~xuntil2p8(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9402, 28051])).
% 5.32/4.80 tff(28053,plain,
% 5.32/4.80 (always3(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[25455, 12398])).
% 5.32/4.80 tff(28054,plain,
% 5.32/4.80 (~m_main_v_state(s140, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20534, 145, 28053])).
% 5.32/4.80 tff(28055,plain,
% 5.32/4.80 (m_main_v_state(s140, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23681, 28054])).
% 5.32/4.80 tff(28056,plain,
% 5.32/4.80 (always3(s141)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5064, 28053])).
% 5.32/4.80 tff(28057,plain,
% 5.32/4.80 (~m_main_v_state(s141, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20511, 145, 28056])).
% 5.32/4.80 tff(28058,plain,
% 5.32/4.80 (until2p7(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[12406, 12398, 11264])).
% 5.32/4.80 tff(28059,assumption,(~xuntil2p8(s140)), introduced(assumption)).
% 5.32/4.80 tff(28060,plain,
% 5.32/4.80 (node4(s140) | (~until2p7(s140))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9408, 8293, 28059])).
% 5.32/4.80 tff(28061,plain,
% 5.32/4.80 (node4(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28060, 28058])).
% 5.32/4.80 tff(28062,plain,
% 5.32/4.80 (m_main_v_request(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20518, 63, 28061])).
% 5.32/4.80 tff(28063,plain,
% 5.32/4.80 ($false),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20527, 28062, 28057, 28055])).
% 5.32/4.80 tff(28064,plain,((~trans(s199, s140)) | xuntil2p8(s140) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.32/4.80 tff(28065,plain,
% 5.32/4.80 (~trans(s199, s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28064, 28052, 11264])).
% 5.32/4.80 tff(28066,plain,
% 5.32/4.80 (~trans(s199, s148)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[11460, 28021, 11264])).
% 5.32/4.80 tff(28067,plain,
% 5.32/4.80 (~trans(s199, s146)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[11482, 28025, 11264])).
% 5.32/4.80 tff(28068,plain,
% 5.32/4.80 (always3(s134)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[25465, 12420])).
% 5.32/4.80 tff(28069,plain,
% 5.32/4.80 (always3(s135)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5238, 28068])).
% 5.32/4.80 tff(28070,plain,
% 5.32/4.80 (~m_main_v_state(s135, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[19541, 145, 28069])).
% 5.32/4.80 tff(28071,plain,
% 5.32/4.80 (~m_main_v_state(s134, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[19548, 145, 28068])).
% 5.32/4.80 tff(28072,plain,
% 5.32/4.80 (m_main_v_state(s134, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[19552, 188, 28071])).
% 5.32/4.80 tff(28073,plain,
% 5.32/4.80 (~m_main_v_request(s134)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[19561, 28072, 28070])).
% 5.32/4.80 tff(28074,plain,
% 5.32/4.80 (~node4(s134)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[19565, 63, 28073])).
% 5.32/4.80 tff(28075,plain,
% 5.32/4.80 (until2p7(s134)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[12428, 12420, 11264])).
% 5.32/4.80 tff(28076,plain,
% 5.32/4.80 (node4(s134) | xuntil2p8(s134)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9480, 8293, 28075])).
% 5.32/4.80 tff(28077,plain,
% 5.32/4.80 (xuntil2p8(s134)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28076, 28074])).
% 5.32/4.80 tff(28078,plain,
% 5.32/4.80 (until2p7(s135)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9474, 28077])).
% 5.32/4.80 tff(28079,plain,
% 5.32/4.80 (always3(s136)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5209, 28069])).
% 5.32/4.80 tff(28080,plain,
% 5.32/4.80 (~m_main_v_state(s136, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20158, 145, 28079])).
% 5.32/4.80 tff(28081,plain,
% 5.32/4.80 (m_main_v_state(s135, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20198, 188, 28070])).
% 5.32/4.80 tff(28082,plain,
% 5.32/4.80 (~m_main_v_request(s135)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20192, 28081, 28080])).
% 5.32/4.80 tff(28083,plain,
% 5.32/4.80 (~node4(s135)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20183, 63, 28082])).
% 5.32/4.80 tff(28084,plain,
% 5.32/4.80 (xuntil2p8(s135) | (~until2p7(s135))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9468, 8293, 28083])).
% 5.32/4.80 tff(28085,plain,
% 5.32/4.80 (xuntil2p8(s135)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28084, 28078])).
% 5.32/4.80 tff(28086,plain,
% 5.32/4.80 (always3(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5180, 28079])).
% 5.32/4.80 tff(28087,plain,
% 5.32/4.80 (always3(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5151, 28086])).
% 5.32/4.80 tff(28088,plain,
% 5.32/4.80 (always3(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5122, 28087])).
% 5.32/4.80 tff(28089,plain,
% 5.32/4.80 (~m_main_v_state(s139, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20560, 145, 28088])).
% 5.32/4.80 tff(28090,plain,
% 5.32/4.80 (~m_main_v_state(s138, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20127, 145, 28087])).
% 5.32/4.80 tff(28091,plain,
% 5.32/4.80 (m_main_v_state(s138, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20600, 188, 28090])).
% 5.32/4.80 tff(28092,plain,
% 5.32/4.80 (~m_main_v_request(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20594, 28091, 28089])).
% 5.32/4.80 tff(28093,plain,
% 5.32/4.80 (~node4(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20585, 63, 28092])).
% 5.32/4.80 tff(28094,plain,
% 5.32/4.80 (always3(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5093, 28088])).
% 5.32/4.80 tff(28095,plain,
% 5.32/4.80 (~m_main_v_state(s140, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20534, 145, 28094])).
% 5.32/4.80 tff(28096,plain,
% 5.32/4.80 (m_main_v_state(s139, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20565, 188, 28089])).
% 5.32/4.80 tff(28097,plain,
% 5.32/4.80 (~m_main_v_request(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20574, 28096, 28095])).
% 5.32/4.80 tff(28098,plain,
% 5.32/4.80 (~node4(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20578, 63, 28097])).
% 5.32/4.80 tff(28099,plain,
% 5.32/4.80 (m_main_v_state(s140, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23681, 28095])).
% 5.32/4.80 tff(28100,plain,
% 5.32/4.80 (always3(s141)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5064, 28094])).
% 5.32/4.80 tff(28101,plain,
% 5.32/4.80 (~m_main_v_state(s141, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20511, 145, 28100])).
% 5.32/4.80 tff(28102,plain,
% 5.32/4.80 (~m_main_v_request(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20527, 28101, 28099])).
% 5.32/4.80 tff(28103,plain,
% 5.32/4.80 (~node4(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20518, 63, 28102])).
% 5.32/4.80 tff(28104,plain,
% 5.32/4.80 (~until2p7(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28060, 28103])).
% 5.32/4.80 tff(28105,plain,
% 5.32/4.80 (~xuntil2p8(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9414, 28104])).
% 5.32/4.80 tff(28106,plain,
% 5.32/4.80 (~until2p7(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9420, 8293, 28105, 28098])).
% 5.32/4.80 tff(28107,plain,
% 5.32/4.80 (~xuntil2p8(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9426, 28106])).
% 5.32/4.80 tff(28108,plain,
% 5.32/4.80 (~until2p7(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9432, 8293, 28107, 28093])).
% 5.32/4.80 tff(28109,plain,
% 5.32/4.80 (~xuntil2p8(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9438, 28108])).
% 5.32/4.80 tff(28110,plain,
% 5.32/4.80 (~m_main_v_state(s137, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20134, 145, 28086])).
% 5.32/4.80 tff(28111,plain,
% 5.32/4.80 (m_main_v_state(s137, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20138, 188, 28110])).
% 5.32/4.80 tff(28112,plain,
% 5.32/4.80 (~m_main_v_request(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20215, 28111, 28090])).
% 5.32/4.80 tff(28113,plain,
% 5.32/4.80 (~node4(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20206, 63, 28112])).
% 5.32/4.80 tff(28114,plain,
% 5.32/4.80 (xuntil2p8(s137) | (~until2p7(s137))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9444, 8293, 28113])).
% 5.32/4.80 tff(28115,plain,
% 5.32/4.80 (~until2p7(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28114, 28109])).
% 5.32/4.80 tff(28116,plain,
% 5.32/4.80 (~xuntil2p8(s136)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9450, 28115])).
% 5.32/4.80 tff(28117,plain,
% 5.32/4.80 (m_main_v_state(s136, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20163, 188, 28080])).
% 5.32/4.80 tff(28118,plain,
% 5.32/4.80 (~m_main_v_request(s136)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20172, 28117, 28110])).
% 5.32/4.80 tff(28119,plain,
% 5.32/4.80 (~node4(s136)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20176, 63, 28118])).
% 5.32/4.80 tff(28120,plain,
% 5.32/4.80 (xuntil2p8(s136) | (~until2p7(s136))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9456, 8293, 28119])).
% 5.32/4.80 tff(28121,plain,
% 5.32/4.80 (~until2p7(s136)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28120, 28116])).
% 5.32/4.80 tff(28122,plain,
% 5.32/4.80 ($false),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9462, 28121, 28085])).
% 5.32/4.80 tff(28123,plain,((~trans(s199, s134)) | xuntil2p8(s140) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.32/4.80 tff(28124,plain,
% 5.32/4.80 (~trans(s199, s134)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28123, 28052, 11264])).
% 5.32/4.80 tff(28125,plain,
% 5.32/4.80 (~trans(s199, s162)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[11515, 27941, 11264])).
% 5.32/4.80 tff(28126,plain,
% 5.32/4.80 (~trans(s199, s149)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[12296, 28019, 11264])).
% 5.32/4.80 tff(28127,plain,
% 5.32/4.80 (~trans(s199, s157)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[11867, 27972, 11264])).
% 5.32/4.80 tff(28128,plain,
% 5.32/4.80 (~trans(s199, s169)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[12846, 27909, 11264])).
% 5.32/4.80 tff(28129,plain,
% 5.32/4.80 (~trans(s199, s159)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[11669, 27961, 11264])).
% 5.32/4.80 tff(28130,plain,
% 5.32/4.80 (~trans(s199, s174)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[11724, 27874, 11264])).
% 5.32/4.80 tff(28131,plain,
% 5.32/4.80 (~trans(s199, s142)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[11735, 28049, 11264])).
% 5.32/4.80 tff(28132,plain,
% 5.32/4.80 (~trans(s199, s181)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[11768, 27839, 11264])).
% 5.32/4.80 tff(28133,plain,
% 5.32/4.80 (~trans(s199, s154)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[13319, 27993, 11264])).
% 5.32/4.80 tff(28134,plain,
% 5.32/4.80 (~trans(s199, s177)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[11790, 27852, 11264])).
% 5.32/4.80 tff(28135,plain,
% 5.32/4.80 (~trans(s199, s179)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[11801, 27848, 11264])).
% 5.32/4.80 tff(28136,plain,
% 5.32/4.80 (~trans(s199, s180)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[11812, 27841, 11264])).
% 5.32/4.80 tff(28137,plain,
% 5.32/4.80 (~trans(s199, s155)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27463, 27980, 27974, 11264])).
% 5.32/4.80 tff(28138,plain,
% 5.32/4.80 (~trans(s199, s156)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[11779, 27979, 11264])).
% 5.32/4.80 tff(28139,plain,
% 5.32/4.80 (~trans(s199, s150)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27430, 27973, 27967, 11264])).
% 5.32/4.80 tff(28140,plain,
% 5.32/4.80 (~trans(s199, s153)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27336, 27966, 11264])).
% 5.32/4.80 tff(28141,plain,
% 5.32/4.80 (~trans(s199, s164)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[26473, 27861, 27855, 11264])).
% 5.32/4.80 tff(28142,plain,
% 5.32/4.80 (~trans(s199, s170)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[12494, 27902, 11264])).
% 5.32/4.80 tff(28143,plain,
% 5.32/4.80 (~trans(s199, s158)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[12208, 27965, 11264])).
% 5.32/4.80 tff(28144,plain,
% 5.32/4.80 (~trans(s199, s161)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27005, 27942, 11264])).
% 5.32/4.80 tff(28145,plain,
% 5.32/4.80 (~trans(s199, s171)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[26780, 27889, 27883, 11264])).
% 5.32/4.80 tff(28146,plain,
% 5.32/4.80 (always3(s135)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[25496, 13267])).
% 5.32/4.80 tff(28147,plain,
% 5.32/4.80 (always3(s136)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5209, 28146])).
% 5.32/4.80 tff(28148,plain,
% 5.32/4.80 (always3(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5180, 28147])).
% 5.32/4.80 tff(28149,plain,
% 5.32/4.80 (~m_main_v_state(s137, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20134, 145, 28148])).
% 5.32/4.80 tff(28150,plain,
% 5.32/4.80 (~m_main_v_state(s136, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20158, 145, 28147])).
% 5.32/4.80 tff(28151,plain,
% 5.32/4.80 (m_main_v_state(s136, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20163, 188, 28150])).
% 5.32/4.80 tff(28152,plain,
% 5.32/4.80 (~m_main_v_request(s136)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20172, 28151, 28149])).
% 5.32/4.80 tff(28153,plain,
% 5.32/4.80 (~node4(s136)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20176, 63, 28152])).
% 5.32/4.80 tff(28154,plain,
% 5.32/4.80 (~m_main_v_state(s135, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[19541, 145, 28146])).
% 5.32/4.80 tff(28155,plain,
% 5.32/4.80 (m_main_v_state(s135, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20198, 188, 28154])).
% 5.32/4.80 tff(28156,plain,
% 5.32/4.80 (~m_main_v_request(s135)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20192, 28155, 28150])).
% 5.32/4.80 tff(28157,plain,
% 5.32/4.80 (~node4(s135)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20183, 63, 28156])).
% 5.32/4.80 tff(28158,plain,
% 5.32/4.80 (until2p7(s135)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[13275, 13267, 11264])).
% 5.32/4.80 tff(28159,plain,
% 5.32/4.80 (node4(s135) | xuntil2p8(s135)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9468, 8293, 28158])).
% 5.32/4.80 tff(28160,plain,
% 5.32/4.80 (xuntil2p8(s135)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28159, 28157])).
% 5.32/4.80 tff(28161,plain,
% 5.32/4.80 (until2p7(s136)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9462, 28160])).
% 5.32/4.80 tff(28162,plain,
% 5.32/4.80 (xuntil2p8(s136)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9456, 8293, 28161, 28153])).
% 5.32/4.80 tff(28163,plain,
% 5.32/4.80 (until2p7(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9450, 28162])).
% 5.32/4.80 tff(28164,plain,
% 5.32/4.80 (always3(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5151, 28148])).
% 5.32/4.80 tff(28165,plain,
% 5.32/4.80 (always3(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5122, 28164])).
% 5.32/4.80 tff(28166,plain,
% 5.32/4.80 (~m_main_v_state(s139, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20560, 145, 28165])).
% 5.32/4.80 tff(28167,plain,
% 5.32/4.80 (~m_main_v_state(s138, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20127, 145, 28164])).
% 5.32/4.80 tff(28168,plain,
% 5.32/4.80 (m_main_v_state(s138, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20600, 188, 28167])).
% 5.32/4.80 tff(28169,plain,
% 5.32/4.80 (~m_main_v_request(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20594, 28168, 28166])).
% 5.32/4.80 tff(28170,plain,
% 5.32/4.80 (~node4(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20585, 63, 28169])).
% 5.32/4.80 tff(28171,plain,
% 5.32/4.80 (always3(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5093, 28165])).
% 5.32/4.80 tff(28172,plain,
% 5.32/4.80 (~m_main_v_state(s140, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20534, 145, 28171])).
% 5.32/4.80 tff(28173,plain,
% 5.32/4.80 (m_main_v_state(s139, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20565, 188, 28166])).
% 5.32/4.80 tff(28174,plain,
% 5.32/4.80 (~m_main_v_request(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20574, 28173, 28172])).
% 5.32/4.80 tff(28175,plain,
% 5.32/4.80 (~node4(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20578, 63, 28174])).
% 5.32/4.80 tff(28176,plain,
% 5.32/4.80 (m_main_v_state(s140, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23681, 28172])).
% 5.32/4.80 tff(28177,plain,
% 5.32/4.80 (always3(s141)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5064, 28171])).
% 5.32/4.80 tff(28178,plain,
% 5.32/4.80 (~m_main_v_state(s141, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20511, 145, 28177])).
% 5.32/4.80 tff(28179,plain,
% 5.32/4.80 (~m_main_v_request(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20527, 28178, 28176])).
% 5.32/4.80 tff(28180,plain,
% 5.32/4.80 (~node4(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20518, 63, 28179])).
% 5.32/4.80 tff(28181,plain,
% 5.32/4.80 (~until2p7(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28060, 28180])).
% 5.32/4.80 tff(28182,plain,
% 5.32/4.80 (~xuntil2p8(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9414, 28181])).
% 5.32/4.80 tff(28183,plain,
% 5.32/4.80 (~until2p7(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9420, 8293, 28182, 28175])).
% 5.32/4.80 tff(28184,plain,
% 5.32/4.80 (~xuntil2p8(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9426, 28183])).
% 5.32/4.80 tff(28185,plain,
% 5.32/4.80 (~until2p7(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9432, 8293, 28184, 28170])).
% 5.32/4.80 tff(28186,plain,
% 5.32/4.80 (~xuntil2p8(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9438, 28185])).
% 5.32/4.80 tff(28187,plain,
% 5.32/4.80 (m_main_v_state(s137, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20138, 188, 28149])).
% 5.32/4.80 tff(28188,plain,
% 5.32/4.80 (~m_main_v_request(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20215, 28187, 28167])).
% 5.32/4.80 tff(28189,plain,
% 5.32/4.80 (~node4(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20206, 63, 28188])).
% 5.32/4.80 tff(28190,plain,
% 5.32/4.80 (xuntil2p8(s137) | (~until2p7(s137))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9444, 8293, 28189])).
% 5.32/4.80 tff(28191,plain,
% 5.32/4.80 ($false),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28190, 28186, 28163])).
% 5.32/4.80 tff(28192,plain,((~trans(s199, s135)) | xuntil2p8(s140) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.32/4.80 tff(28193,plain,
% 5.32/4.80 (~trans(s199, s135)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28192, 28052, 11264])).
% 5.32/4.80 tff(28194,plain,
% 5.32/4.80 (always3(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[25475, 12750])).
% 5.32/4.80 tff(28195,plain,
% 5.32/4.80 (always3(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5151, 28194])).
% 5.32/4.80 tff(28196,plain,
% 5.32/4.80 (always3(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5122, 28195])).
% 5.32/4.80 tff(28197,plain,
% 5.32/4.80 (~m_main_v_state(s139, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20560, 145, 28196])).
% 5.32/4.80 tff(28198,plain,
% 5.32/4.80 (~m_main_v_state(s138, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20127, 145, 28195])).
% 5.32/4.80 tff(28199,plain,
% 5.32/4.80 (m_main_v_state(s138, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20600, 188, 28198])).
% 5.32/4.80 tff(28200,plain,
% 5.32/4.80 (~m_main_v_request(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20594, 28199, 28197])).
% 5.32/4.80 tff(28201,plain,
% 5.32/4.80 (~node4(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20585, 63, 28200])).
% 5.32/4.80 tff(28202,plain,
% 5.32/4.80 (always3(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5093, 28196])).
% 5.32/4.80 tff(28203,plain,
% 5.32/4.80 (~m_main_v_state(s140, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20534, 145, 28202])).
% 5.32/4.80 tff(28204,plain,
% 5.32/4.80 (m_main_v_state(s139, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20565, 188, 28197])).
% 5.32/4.80 tff(28205,plain,
% 5.32/4.80 (~m_main_v_request(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20574, 28204, 28203])).
% 5.32/4.80 tff(28206,plain,
% 5.32/4.80 (~node4(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20578, 63, 28205])).
% 5.32/4.80 tff(28207,plain,
% 5.32/4.80 (m_main_v_state(s140, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23681, 28203])).
% 5.32/4.80 tff(28208,plain,
% 5.32/4.80 (always3(s141)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5064, 28202])).
% 5.32/4.80 tff(28209,plain,
% 5.32/4.80 (~m_main_v_state(s141, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20511, 145, 28208])).
% 5.32/4.80 tff(28210,plain,
% 5.32/4.80 (~m_main_v_request(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20527, 28209, 28207])).
% 5.32/4.80 tff(28211,plain,
% 5.32/4.80 (~node4(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20518, 63, 28210])).
% 5.32/4.80 tff(28212,plain,
% 5.32/4.80 (~until2p7(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28060, 28211])).
% 5.32/4.80 tff(28213,plain,
% 5.32/4.80 (~xuntil2p8(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9414, 28212])).
% 5.32/4.80 tff(28214,plain,
% 5.32/4.80 (~until2p7(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9420, 8293, 28213, 28206])).
% 5.32/4.80 tff(28215,plain,
% 5.32/4.80 (~xuntil2p8(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9426, 28214])).
% 5.32/4.80 tff(28216,plain,
% 5.32/4.80 (~m_main_v_state(s137, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20134, 145, 28194])).
% 5.32/4.80 tff(28217,plain,
% 5.32/4.80 (m_main_v_state(s137, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20138, 188, 28216])).
% 5.32/4.80 tff(28218,plain,
% 5.32/4.80 (~m_main_v_request(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20215, 28217, 28198])).
% 5.32/4.80 tff(28219,plain,
% 5.32/4.80 (~node4(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20206, 63, 28218])).
% 5.32/4.80 tff(28220,plain,
% 5.32/4.80 (until2p7(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[12758, 12750, 11264])).
% 5.32/4.80 tff(28221,plain,
% 5.32/4.80 (node4(s137) | xuntil2p8(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9444, 8293, 28220])).
% 5.32/4.80 tff(28222,plain,
% 5.32/4.80 (xuntil2p8(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28221, 28219])).
% 5.32/4.80 tff(28223,plain,
% 5.32/4.80 (until2p7(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9438, 28222])).
% 5.32/4.80 tff(28224,plain,
% 5.32/4.80 ($false),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9432, 8293, 28223, 28215, 28201])).
% 5.32/4.80 tff(28225,plain,((~trans(s199, s137)) | xuntil2p8(s140) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.32/4.80 tff(28226,plain,
% 5.32/4.80 (~trans(s199, s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28225, 28052, 11264])).
% 5.32/4.80 tff(28227,plain,
% 5.32/4.80 (~trans(s199, s172)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[12725, 27888, 11264])).
% 5.32/4.80 tff(28228,plain,
% 5.32/4.80 (~trans(s199, s160)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27019, 27942, 11264])).
% 5.32/4.80 tff(28229,plain,
% 5.32/4.80 (~trans(s199, s151)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27093, 27942, 11264])).
% 5.32/4.80 tff(28230,plain,
% 5.32/4.80 (~trans(s199, s173)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[26749, 27875, 27869, 11264])).
% 5.32/4.80 tff(28231,plain,
% 5.32/4.80 (always3(s136)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[25485, 13223])).
% 5.32/4.80 tff(28232,plain,
% 5.32/4.80 (always3(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5180, 28231])).
% 5.32/4.80 tff(28233,plain,
% 5.32/4.80 (always3(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5151, 28232])).
% 5.32/4.80 tff(28234,plain,
% 5.32/4.80 (~m_main_v_state(s138, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20127, 145, 28233])).
% 5.32/4.80 tff(28235,plain,
% 5.32/4.80 (~m_main_v_state(s137, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20134, 145, 28232])).
% 5.32/4.80 tff(28236,plain,
% 5.32/4.80 (m_main_v_state(s137, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20138, 188, 28235])).
% 5.32/4.80 tff(28237,plain,
% 5.32/4.80 (~m_main_v_request(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20215, 28236, 28234])).
% 5.32/4.80 tff(28238,plain,
% 5.32/4.80 (~node4(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20206, 63, 28237])).
% 5.32/4.80 tff(28239,plain,
% 5.32/4.80 (~m_main_v_state(s136, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20158, 145, 28231])).
% 5.32/4.80 tff(28240,plain,
% 5.32/4.80 (m_main_v_state(s136, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20163, 188, 28239])).
% 5.32/4.80 tff(28241,plain,
% 5.32/4.80 (~m_main_v_request(s136)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20172, 28240, 28235])).
% 5.32/4.80 tff(28242,plain,
% 5.32/4.80 (~node4(s136)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20176, 63, 28241])).
% 5.32/4.80 tff(28243,plain,
% 5.32/4.80 (until2p7(s136)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[13231, 13223, 11264])).
% 5.32/4.80 tff(28244,plain,
% 5.32/4.80 (node4(s136) | xuntil2p8(s136)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9456, 8293, 28243])).
% 5.32/4.80 tff(28245,plain,
% 5.32/4.80 (xuntil2p8(s136)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28244, 28242])).
% 5.32/4.80 tff(28246,plain,
% 5.32/4.80 (until2p7(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9450, 28245])).
% 5.32/4.80 tff(28247,plain,
% 5.32/4.80 (xuntil2p8(s137)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9444, 8293, 28246, 28238])).
% 5.32/4.80 tff(28248,plain,
% 5.32/4.80 (always3(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5122, 28233])).
% 5.32/4.80 tff(28249,plain,
% 5.32/4.80 (~m_main_v_state(s139, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20560, 145, 28248])).
% 5.32/4.80 tff(28250,plain,
% 5.32/4.80 (m_main_v_state(s138, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20600, 188, 28234])).
% 5.32/4.80 tff(28251,plain,
% 5.32/4.80 (~m_main_v_request(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20594, 28250, 28249])).
% 5.32/4.80 tff(28252,plain,
% 5.32/4.80 (~node4(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20585, 63, 28251])).
% 5.32/4.80 tff(28253,plain,
% 5.32/4.80 (always3(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5093, 28248])).
% 5.32/4.80 tff(28254,plain,
% 5.32/4.80 (~m_main_v_state(s140, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20534, 145, 28253])).
% 5.32/4.80 tff(28255,plain,
% 5.32/4.80 (m_main_v_state(s139, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20565, 188, 28249])).
% 5.32/4.80 tff(28256,plain,
% 5.32/4.80 (~m_main_v_request(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20574, 28255, 28254])).
% 5.32/4.80 tff(28257,plain,
% 5.32/4.80 (~node4(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20578, 63, 28256])).
% 5.32/4.80 tff(28258,plain,
% 5.32/4.80 (m_main_v_state(s140, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23681, 28254])).
% 5.32/4.80 tff(28259,plain,
% 5.32/4.80 (always3(s141)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5064, 28253])).
% 5.32/4.80 tff(28260,plain,
% 5.32/4.80 (~m_main_v_state(s141, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20511, 145, 28259])).
% 5.32/4.80 tff(28261,plain,
% 5.32/4.80 (~m_main_v_request(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20527, 28260, 28258])).
% 5.32/4.80 tff(28262,plain,
% 5.32/4.80 (~node4(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20518, 63, 28261])).
% 5.32/4.80 tff(28263,plain,
% 5.32/4.80 (~until2p7(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28060, 28262])).
% 5.32/4.80 tff(28264,plain,
% 5.32/4.80 (~xuntil2p8(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9414, 28263])).
% 5.32/4.80 tff(28265,plain,
% 5.32/4.80 (~until2p7(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9420, 8293, 28264, 28257])).
% 5.32/4.80 tff(28266,plain,
% 5.32/4.80 (~xuntil2p8(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9426, 28265])).
% 5.32/4.80 tff(28267,plain,
% 5.32/4.80 (~until2p7(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9432, 8293, 28266, 28252])).
% 5.32/4.80 tff(28268,plain,
% 5.32/4.80 ($false),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9438, 28267, 28247])).
% 5.32/4.80 tff(28269,plain,((~trans(s199, s136)) | xuntil2p8(s140) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.32/4.80 tff(28270,plain,
% 5.32/4.80 (~trans(s199, s136)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28269, 28052, 11264])).
% 5.32/4.80 tff(28271,plain,
% 5.32/4.80 (~trans(s199, s175)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[13352, 27867, 11264])).
% 5.32/4.80 tff(28272,plain,
% 5.32/4.80 (~trans(s199, s163)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[12791, 27939, 11264])).
% 5.32/4.80 tff(28273,plain,
% 5.32/4.80 (~trans(s199, s145)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27196, 27942, 11264])).
% 5.32/4.80 tff(28274,plain,
% 5.32/4.80 (~trans(s199, s152)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27262, 27942, 11264])).
% 5.32/4.80 tff(28275,plain,
% 5.32/4.80 (~trans(s199, s176)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[12923, 27860, 11264])).
% 5.32/4.80 tff(28276,plain,
% 5.32/4.80 (~trans(s199, s165)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[11647, 27929, 11264])).
% 5.32/4.80 tff(28277,plain,
% 5.32/4.80 (~trans(s199, s166)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[13022, 27927, 11264])).
% 5.32/4.80 tff(28278,plain,
% 5.32/4.80 (~trans(s199, s147)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[26689, 27861, 27855, 11264])).
% 5.32/4.80 tff(28279,plain,
% 5.32/4.80 (~trans(s199, s178)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[26174, 27838, 11264])).
% 5.32/4.80 tff(28280,plain,
% 5.32/4.80 (~trans(s199, s141)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[13308, 28051, 11264])).
% 5.32/4.80 tff(28281,plain,
% 5.32/4.80 (~trans(s199, s144)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[12241, 28035, 11264])).
% 5.32/4.80 tff(28282,plain,
% 5.32/4.80 (~trans(s199, s143)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[27763, 28028, 11264])).
% 5.32/4.80 tff(28283,plain,
% 5.32/4.80 (always3(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[25435, 11485])).
% 5.32/4.80 tff(28284,plain,
% 5.32/4.80 (always3(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5122, 28283])).
% 5.32/4.80 tff(28285,plain,
% 5.32/4.80 (always3(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5093, 28284])).
% 5.32/4.80 tff(28286,plain,
% 5.32/4.80 (~m_main_v_state(s140, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20534, 145, 28285])).
% 5.32/4.80 tff(28287,plain,
% 5.32/4.80 (~m_main_v_state(s139, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20560, 145, 28284])).
% 5.32/4.80 tff(28288,plain,
% 5.32/4.80 (m_main_v_state(s139, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20565, 188, 28287])).
% 5.32/4.80 tff(28289,plain,
% 5.32/4.80 (~m_main_v_request(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20574, 28288, 28286])).
% 5.32/4.80 tff(28290,plain,
% 5.32/4.80 (~node4(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20578, 63, 28289])).
% 5.32/4.80 tff(28291,plain,
% 5.32/4.80 (m_main_v_state(s140, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23681, 28286])).
% 5.32/4.80 tff(28292,plain,
% 5.32/4.80 (always3(s141)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5064, 28285])).
% 5.32/4.80 tff(28293,plain,
% 5.32/4.80 (~m_main_v_state(s141, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20511, 145, 28292])).
% 5.32/4.80 tff(28294,plain,
% 5.32/4.80 (~m_main_v_request(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20527, 28293, 28291])).
% 5.32/4.80 tff(28295,plain,
% 5.32/4.80 (~node4(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20518, 63, 28294])).
% 5.32/4.80 tff(28296,plain,
% 5.32/4.80 (~until2p7(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28060, 28295])).
% 5.32/4.80 tff(28297,plain,
% 5.32/4.80 (~xuntil2p8(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9414, 28296])).
% 5.32/4.80 tff(28298,plain,
% 5.32/4.80 (~until2p7(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9420, 8293, 28297, 28290])).
% 5.32/4.80 tff(28299,plain,
% 5.32/4.80 (~m_main_v_state(s138, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20127, 145, 28283])).
% 5.32/4.80 tff(28300,plain,
% 5.32/4.80 (m_main_v_state(s138, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20600, 188, 28299])).
% 5.32/4.80 tff(28301,plain,
% 5.32/4.80 (~m_main_v_request(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20594, 28300, 28287])).
% 5.32/4.80 tff(28302,plain,
% 5.32/4.80 (~node4(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20585, 63, 28301])).
% 5.32/4.80 tff(28303,plain,
% 5.32/4.80 (until2p7(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[11493, 11485, 11264])).
% 5.32/4.80 tff(28304,plain,
% 5.32/4.80 (node4(s138) | xuntil2p8(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9432, 8293, 28303])).
% 5.32/4.80 tff(28305,plain,
% 5.32/4.80 (xuntil2p8(s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28304, 28302])).
% 5.32/4.80 tff(28306,plain,
% 5.32/4.80 ($false),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9426, 28305, 28298])).
% 5.32/4.80 tff(28307,plain,((~trans(s199, s138)) | xuntil2p8(s140) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.32/4.80 tff(28308,plain,
% 5.32/4.80 (~trans(s199, s138)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28307, 28052, 11264])).
% 5.32/4.80 tff(28309,plain,
% 5.32/4.80 (trans(s199, s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[26047, 28308, 13665, 13662, 12474, 28282, 13659, 13658, 28281, 13656, 13655, 13654, 28280, 13652, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 28279, 13641, 28278, 13639, 13638, 13637, 13636, 13635, 28277, 13633, 13632, 13631, 13630, 28276, 13628, 13627, 13626, 28275, 13624, 13623, 13622, 13621, 13620, 13619, 28274, 13617, 13616, 13615, 28273, 28272, 28271, 13611, 28270, 13609, 13608, 28230, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 28229, 28228, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 28227, 11264, 25920, 13583, 13582, 13581, 28226, 13579, 28193, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 28145, 13567, 13566, 13565, 13564, 28144, 13562, 13561, 28143, 13559, 28142, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 28141, 28140, 28139, 13535, 13534, 13532, 28138, 13530, 28137, 25900, 13527, 13526, 13525, 28136, 28135, 28134, 28133, 28132, 25857, 13518, 28131, 28130, 13515, 13514, 13513, 13512, 28129, 13510, 28128, 13508, 28127, 13506, 28126, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 28125, 13496, 28124, 28067, 13493, 28066, 13491, 13490, 13489, 28065, 27923, 27922, 25767, 25766, 13440, 27921, 13438, 13437, 27912, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.32/4.80 tff(28310,plain,
% 5.32/4.80 (always3(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[25424, 28309])).
% 5.32/4.80 tff(28311,plain,
% 5.32/4.80 (always3(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5093, 28310])).
% 5.32/4.80 tff(28312,plain,
% 5.32/4.80 (~m_main_v_state(s140, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20534, 145, 28311])).
% 5.32/4.80 tff(28313,plain,
% 5.32/4.80 (m_main_v_state(s140, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[23681, 28312])).
% 5.32/4.80 tff(28314,plain,
% 5.32/4.80 (always3(s141)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[5064, 28311])).
% 5.32/4.80 tff(28315,plain,
% 5.32/4.80 (~m_main_v_state(s141, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20511, 145, 28314])).
% 5.32/4.80 tff(28316,plain,
% 5.32/4.80 (~m_main_v_request(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20527, 28315, 28313])).
% 5.32/4.80 tff(28317,plain,
% 5.32/4.80 (~node4(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20518, 63, 28316])).
% 5.32/4.80 tff(28318,plain,
% 5.32/4.80 (node4(s140) | (~until2p7(s140))),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9408, 8293, 28052])).
% 5.32/4.80 tff(28319,plain,
% 5.32/4.80 (~until2p7(s140)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28318, 28317])).
% 5.32/4.80 tff(28320,plain,
% 5.32/4.80 (~xuntil2p8(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9414, 28319])).
% 5.32/4.80 tff(28321,plain,
% 5.32/4.80 (until2p7(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[11416, 28309, 11264])).
% 5.32/4.80 tff(28322,plain,
% 5.32/4.80 (node4(s139) | xuntil2p8(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[9420, 8293, 28321])).
% 5.32/4.80 tff(28323,plain,
% 5.32/4.80 (node4(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[28322, 28320])).
% 5.32/4.80 tff(28324,plain,
% 5.32/4.80 (~m_main_v_state(s139, c_busy)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20560, 145, 28310])).
% 5.32/4.80 tff(28325,plain,
% 5.32/4.80 (m_main_v_state(s139, c_ready)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20565, 188, 28324])).
% 5.32/4.80 tff(28326,plain,
% 5.32/4.80 (~m_main_v_request(s139)),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20574, 28325, 28312])).
% 5.32/4.80 tff(28327,plain,
% 5.32/4.80 ($false),
% 5.32/4.80 inference(unit_resolution,[status(thm)],[20578, 63, 28326, 28323])).
% 5.32/4.80 tff(28328,plain,(trans(s199, s133) | (~xuntil6(s199)) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s100) | trans(s199, s83) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s127) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s128) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s120) | trans(s199, s38) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.32/4.81 tff(28329,plain,
% 5.32/4.81 (trans(s199, s119)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28328, 25414, 13665, 13662, 12474, 13659, 13658, 13656, 13655, 13654, 13652, 13651, 13650, 11264, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 25404, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 25023, 13609, 13608, 13606, 13605, 13604, 13603, 25013, 13601, 25002, 24992, 13598, 13597, 13594, 24982, 24972, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 24962, 13565, 13564, 13562, 13561, 13559, 24952, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13515, 13514, 13513, 13512, 24942, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 24931, 13498, 24920, 13493, 24909, 13490, 13489, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.32/4.81 tff(28330,plain,
% 5.32/4.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s119) | (~trans(s199, s119)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s119) | (~trans(s199, s119)))),
% 5.32/4.81 inference(rewrite,[status(thm)],[])).
% 5.32/4.81 tff(28331,plain,
% 5.32/4.81 (((~trans(s199, s119)) | (~always3(s199)) | always3(s119)) <=> ((~always3(s199)) | always3(s119) | (~trans(s199, s119)))),
% 5.32/4.81 inference(rewrite,[status(thm)],[])).
% 5.32/4.81 tff(28332,plain,
% 5.32/4.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s119)) | (~always3(s199)) | always3(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s119) | (~trans(s199, s119))))),
% 5.32/4.81 inference(monotonicity,[status(thm)],[28331])).
% 5.32/4.81 tff(28333,plain,
% 5.32/4.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s119)) | (~always3(s199)) | always3(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s119) | (~trans(s199, s119)))),
% 5.32/4.81 inference(transitivity,[status(thm)],[28332, 28330])).
% 5.32/4.81 tff(28334,plain,
% 5.32/4.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s119)) | (~always3(s199)) | always3(s119))),
% 5.32/4.81 inference(quant_inst,[status(thm)],[])).
% 5.32/4.81 tff(28335,plain,
% 5.32/4.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s119) | (~trans(s199, s119))),
% 5.32/4.81 inference(modus_ponens,[status(thm)],[28334, 28333])).
% 5.32/4.81 tff(28336,plain,
% 5.32/4.81 ($false),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28335, 12266, 38, 15335, 18511])).
% 5.32/4.81 tff(28337,plain,((~trans(s199, s119)) | (~always3(s199)) | always3(s119)), inference(lemma,lemma(discharge,[]))).
% 5.32/4.81 tff(28338,plain,
% 5.32/4.81 ((~trans(s199, s119)) | always3(s119)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28337, 15333])).
% 5.32/4.81 tff(28339,plain,
% 5.32/4.81 ($false),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28338, 28329, 18758])).
% 5.32/4.81 tff(28340,plain,(always3(s132) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s100) | trans(s199, s83) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | (~xuntil6(s199)) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s113) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s46) | trans(s199, s108) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.32/4.81 tff(28341,plain,
% 5.32/4.81 (always3(s132)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28340, 24887, 13662, 24794, 13659, 13658, 13656, 13655, 13654, 13652, 13651, 13650, 13665, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13604, 13603, 13601, 13598, 13597, 13594, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 24898, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13515, 13514, 13513, 13512, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 13489, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.32/4.81 tff(28342,plain,
% 5.32/4.81 (always3(s133)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5296, 28341])).
% 5.32/4.81 tff(28343,plain,
% 5.32/4.81 (always3(s134)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5267, 28342])).
% 5.32/4.81 tff(28344,plain,
% 5.32/4.81 (always3(s135)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5238, 28343])).
% 5.32/4.81 tff(28345,plain,
% 5.32/4.81 (always3(s136)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5209, 28344])).
% 5.32/4.81 tff(28346,plain,
% 5.32/4.81 (always3(s137)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5180, 28345])).
% 5.32/4.81 tff(28347,plain,
% 5.32/4.81 (always3(s138)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5151, 28346])).
% 5.32/4.81 tff(28348,plain,
% 5.32/4.81 (always3(s139)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5122, 28347])).
% 5.32/4.81 tff(28349,plain,
% 5.32/4.81 (always3(s140)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5093, 28348])).
% 5.32/4.81 tff(28350,plain,
% 5.32/4.81 (always3(s141)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5064, 28349])).
% 5.32/4.81 tff(28351,plain,
% 5.32/4.81 (always3(s142)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5035, 28350])).
% 5.32/4.81 tff(28352,plain,
% 5.32/4.81 (always3(s143)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5006, 28351])).
% 5.32/4.81 tff(28353,plain,
% 5.32/4.81 (always3(s144)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4968, 28352])).
% 5.32/4.81 tff(28354,plain,
% 5.32/4.81 (always3(s145)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4334, 28353])).
% 5.32/4.81 tff(28355,plain,
% 5.32/4.81 (always3(s146)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4322, 28354])).
% 5.32/4.81 tff(28356,plain,
% 5.32/4.81 (always3(s147)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4310, 28355])).
% 5.32/4.81 tff(28357,plain,
% 5.32/4.81 (always3(s148)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4298, 28356])).
% 5.32/4.81 tff(28358,plain,
% 5.32/4.81 (always3(s149)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4286, 28357])).
% 5.32/4.81 tff(28359,plain,
% 5.32/4.81 (always3(s150)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4274, 28358])).
% 5.32/4.81 tff(28360,plain,
% 5.32/4.81 (always3(s151)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4262, 28359])).
% 5.32/4.81 tff(28361,plain,
% 5.32/4.81 (always3(s152)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4250, 28360])).
% 5.32/4.81 tff(28362,plain,
% 5.32/4.81 (always3(s153)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4238, 28361])).
% 5.32/4.81 tff(28363,plain,
% 5.32/4.81 (always3(s154)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4226, 28362])).
% 5.32/4.81 tff(28364,plain,
% 5.32/4.81 (always3(s155)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4214, 28363])).
% 5.32/4.81 tff(28365,plain,
% 5.32/4.81 (always3(s156)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4202, 28364])).
% 5.32/4.81 tff(28366,plain,
% 5.32/4.81 (always3(s157)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4190, 28365])).
% 5.32/4.81 tff(28367,plain,
% 5.32/4.81 (always3(s158)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4178, 28366])).
% 5.32/4.81 tff(28368,plain,
% 5.32/4.81 (always3(s159)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4166, 28367])).
% 5.32/4.81 tff(28369,plain,
% 5.32/4.81 (always3(s160)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4154, 28368])).
% 5.32/4.81 tff(28370,plain,
% 5.32/4.81 (always3(s161)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4142, 28369])).
% 5.32/4.81 tff(28371,plain,
% 5.32/4.81 (always3(s162)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4130, 28370])).
% 5.32/4.81 tff(28372,plain,
% 5.32/4.81 (always3(s163)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4118, 28371])).
% 5.32/4.81 tff(28373,plain,
% 5.32/4.81 (always3(s164)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4106, 28372])).
% 5.32/4.81 tff(28374,plain,
% 5.32/4.81 (always3(s165)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4094, 28373])).
% 5.32/4.81 tff(28375,plain,
% 5.32/4.81 (always3(s166)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4082, 28374])).
% 5.32/4.81 tff(28376,plain,
% 5.32/4.81 (always3(s167)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4070, 28375])).
% 5.32/4.81 tff(28377,plain,
% 5.32/4.81 (always3(s168)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4058, 28376])).
% 5.32/4.81 tff(28378,plain,
% 5.32/4.81 (always3(s169)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4046, 28377])).
% 5.32/4.81 tff(28379,plain,
% 5.32/4.81 (always3(s170)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4034, 28378])).
% 5.32/4.81 tff(28380,plain,
% 5.32/4.81 (always3(s171)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4022, 28379])).
% 5.32/4.81 tff(28381,plain,
% 5.32/4.81 (always3(s172)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4010, 28380])).
% 5.32/4.81 tff(28382,plain,
% 5.32/4.81 (always3(s173)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3998, 28381])).
% 5.32/4.81 tff(28383,plain,
% 5.32/4.81 (always3(s174)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3986, 28382])).
% 5.32/4.81 tff(28384,plain,
% 5.32/4.81 (always3(s175)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3973, 28383])).
% 5.32/4.81 tff(28385,plain,
% 5.32/4.81 (always3(s176)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3961, 28384])).
% 5.32/4.81 tff(28386,plain,
% 5.32/4.81 (always3(s177)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3949, 28385])).
% 5.32/4.81 tff(28387,plain,
% 5.32/4.81 (always3(s178)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3937, 28386])).
% 5.32/4.81 tff(28388,plain,
% 5.32/4.81 (always3(s179)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3925, 28387])).
% 5.32/4.81 tff(28389,plain,
% 5.32/4.81 (always3(s180)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3913, 28388])).
% 5.32/4.81 tff(28390,plain,
% 5.32/4.81 (always3(s181)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3901, 28389])).
% 5.32/4.81 tff(28391,plain,
% 5.32/4.81 (~m_main_v_state(s181, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23041, 145, 28390])).
% 5.32/4.81 tff(28392,plain,
% 5.32/4.81 (~m_main_v_state(s180, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23086, 145, 28389])).
% 5.32/4.81 tff(28393,plain,
% 5.32/4.81 (m_main_v_state(s180, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23090, 188, 28392])).
% 5.32/4.81 tff(28394,plain,
% 5.32/4.81 (~m_main_v_request(s180)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23079, 28393, 28391])).
% 5.32/4.81 tff(28395,plain,
% 5.32/4.81 (~node4(s180)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23070, 63, 28394])).
% 5.32/4.81 tff(28396,plain,
% 5.32/4.81 (always3(s182)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3885, 28390])).
% 5.32/4.81 tff(28397,plain,
% 5.32/4.81 (~m_main_v_state(s182, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8159, 145, 28396])).
% 5.32/4.81 tff(28398,plain,
% 5.32/4.81 (m_main_v_state(s181, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23045, 188, 28391])).
% 5.32/4.81 tff(28399,plain,
% 5.32/4.81 (~m_main_v_request(s181)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23054, 28398, 28397])).
% 5.32/4.81 tff(28400,plain,
% 5.32/4.81 (~node4(s181)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23058, 63, 28399])).
% 5.32/4.81 tff(28401,plain,
% 5.32/4.81 (always3(s183)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3873, 28396])).
% 5.32/4.81 tff(28402,plain,
% 5.32/4.81 (always3(s184)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3857, 28401])).
% 5.32/4.81 tff(28403,plain,
% 5.32/4.81 (~m_main_v_state(s184, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8570, 145, 28402])).
% 5.32/4.81 tff(28404,plain,
% 5.32/4.81 (~m_main_v_state(s183, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8143, 145, 28401])).
% 5.32/4.81 tff(28405,plain,
% 5.32/4.81 (m_main_v_state(s182, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23834, 28397])).
% 5.32/4.81 tff(28406,plain,
% 5.32/4.81 (m_main_v_state(s183, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23852, 28405, 28404])).
% 5.32/4.81 tff(28407,plain,
% 5.32/4.81 (~m_main_v_request(s183)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23248, 28406, 28403])).
% 5.32/4.81 tff(28408,plain,
% 5.32/4.81 (~node4(s183)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23239, 63, 28407])).
% 5.32/4.81 tff(28409,plain,
% 5.32/4.81 (node4(s183) | (~until2p7(s183))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8589, 8293, 24825])).
% 5.32/4.81 tff(28410,plain,
% 5.32/4.81 (~until2p7(s183)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28409, 28408])).
% 5.32/4.81 tff(28411,plain,
% 5.32/4.81 (~xuntil2p8(s182)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8595, 28410])).
% 5.32/4.81 tff(28412,plain,
% 5.32/4.81 (~until2p7(s182)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8600, 28411])).
% 5.32/4.81 tff(28413,plain,
% 5.32/4.81 (~xuntil2p8(s181)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8605, 28412])).
% 5.32/4.81 tff(28414,plain,
% 5.32/4.81 (~until2p7(s181)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8609, 8293, 28413, 28400])).
% 5.32/4.81 tff(28415,plain,
% 5.32/4.81 (~xuntil2p8(s180)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8615, 28414])).
% 5.32/4.81 tff(28416,plain,
% 5.32/4.81 (~until2p7(s180)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8620, 8293, 28415, 28395])).
% 5.32/4.81 tff(28417,plain,
% 5.32/4.81 (~xuntil2p8(s179)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8626, 28416])).
% 5.32/4.81 tff(28418,plain,
% 5.32/4.81 (~m_main_v_state(s179, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8651, 145, 28388])).
% 5.32/4.81 tff(28419,plain,
% 5.32/4.81 (m_main_v_state(s179, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23199, 188, 28418])).
% 5.32/4.81 tff(28420,plain,
% 5.32/4.81 (~m_main_v_request(s179)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23178, 28419, 28392])).
% 5.32/4.81 tff(28421,plain,
% 5.32/4.81 (~node4(s179)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23167, 63, 28420])).
% 5.32/4.81 tff(28422,plain,
% 5.32/4.81 (xuntil2p8(s179) | (~until2p7(s179))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8631, 8293, 28421])).
% 5.32/4.81 tff(28423,plain,
% 5.32/4.81 (~until2p7(s179)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28422, 28417])).
% 5.32/4.81 tff(28424,plain,
% 5.32/4.81 (~xuntil2p8(s178)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8637, 28423])).
% 5.32/4.81 tff(28425,plain,
% 5.32/4.81 (~until2p7(s178)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8677, 28424])).
% 5.32/4.81 tff(28426,plain,
% 5.32/4.81 (~xuntil2p8(s177)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8682, 28425])).
% 5.32/4.81 tff(28427,plain,
% 5.32/4.81 (~until2p7(s177)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8716, 28426])).
% 5.32/4.81 tff(28428,plain,
% 5.32/4.81 (~xuntil2p8(s176)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8721, 28427])).
% 5.32/4.81 tff(28429,plain,
% 5.32/4.81 (~m_main_v_state(s177, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8706, 145, 28386])).
% 5.32/4.81 tff(28430,plain,
% 5.32/4.81 (~m_main_v_state(s176, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23111, 145, 28385])).
% 5.32/4.81 tff(28431,plain,
% 5.32/4.81 (m_main_v_state(s176, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23117, 188, 28430])).
% 5.32/4.81 tff(28432,plain,
% 5.32/4.81 (~m_main_v_request(s176)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23126, 28431, 28429])).
% 5.32/4.81 tff(28433,plain,
% 5.32/4.81 (~node4(s176)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23130, 63, 28432])).
% 5.32/4.81 tff(28434,plain,
% 5.32/4.81 (xuntil2p8(s176) | (~until2p7(s176))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8726, 8293, 28433])).
% 5.32/4.81 tff(28435,plain,
% 5.32/4.81 (~until2p7(s176)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28434, 28428])).
% 5.32/4.81 tff(28436,plain,
% 5.32/4.81 (~xuntil2p8(s175)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8732, 28435])).
% 5.32/4.81 tff(28437,plain,
% 5.32/4.81 (~m_main_v_state(s175, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22998, 145, 28384])).
% 5.32/4.81 tff(28438,plain,
% 5.32/4.81 (m_main_v_state(s175, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23152, 188, 28437])).
% 5.32/4.81 tff(28439,plain,
% 5.32/4.81 (~m_main_v_request(s175)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23146, 28438, 28430])).
% 5.32/4.81 tff(28440,plain,
% 5.32/4.81 (~node4(s175)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23137, 63, 28439])).
% 5.32/4.81 tff(28441,plain,
% 5.32/4.81 (xuntil2p8(s175) | (~until2p7(s175))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8737, 8293, 28440])).
% 5.32/4.81 tff(28442,plain,
% 5.32/4.81 (~until2p7(s175)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28441, 28436])).
% 5.32/4.81 tff(28443,plain,
% 5.32/4.81 (~xuntil2p8(s174)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8743, 28442])).
% 5.32/4.81 tff(28444,plain,
% 5.32/4.81 (~m_main_v_state(s174, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22810, 145, 28383])).
% 5.32/4.81 tff(28445,plain,
% 5.32/4.81 (m_main_v_state(s174, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23019, 188, 28444])).
% 5.32/4.81 tff(28446,plain,
% 5.32/4.81 (~m_main_v_request(s174)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23014, 28445, 28437])).
% 5.32/4.81 tff(28447,plain,
% 5.32/4.81 (~node4(s174)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23005, 63, 28446])).
% 5.32/4.81 tff(28448,plain,
% 5.32/4.81 (xuntil2p8(s174) | (~until2p7(s174))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8748, 8293, 28447])).
% 5.32/4.81 tff(28449,plain,
% 5.32/4.81 (~until2p7(s174)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28448, 28443])).
% 5.32/4.81 tff(28450,plain,
% 5.32/4.81 (~xuntil2p8(s173)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8754, 28449])).
% 5.32/4.81 tff(28451,plain,
% 5.32/4.81 (~m_main_v_state(s173, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22801, 145, 28382])).
% 5.32/4.81 tff(28452,plain,
% 5.32/4.81 (m_main_v_state(s173, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23919, 28451])).
% 5.32/4.81 tff(28453,plain,
% 5.32/4.81 (~m_main_v_request(s173)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22826, 28452, 28444])).
% 5.32/4.81 tff(28454,plain,
% 5.32/4.81 (~node4(s173)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22817, 63, 28453])).
% 5.32/4.81 tff(28455,plain,
% 5.32/4.81 (xuntil2p8(s173) | (~until2p7(s173))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8760, 8293, 28454])).
% 5.32/4.81 tff(28456,plain,
% 5.32/4.81 (~until2p7(s173)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28455, 28450])).
% 5.32/4.81 tff(28457,plain,
% 5.32/4.81 (~xuntil2p8(s172)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8766, 28456])).
% 5.32/4.81 tff(28458,plain,
% 5.32/4.81 (~m_main_v_state(s172, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22880, 145, 28381])).
% 5.32/4.81 tff(28459,plain,
% 5.32/4.81 (m_main_v_state(s172, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22948, 188, 28458])).
% 5.32/4.81 tff(28460,plain,
% 5.32/4.81 (~m_main_v_request(s172)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22942, 28459, 28451])).
% 5.32/4.81 tff(28461,plain,
% 5.32/4.81 (~node4(s172)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22933, 63, 28460])).
% 5.32/4.81 tff(28462,plain,
% 5.32/4.81 (xuntil2p8(s172) | (~until2p7(s172))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8772, 8293, 28461])).
% 5.32/4.81 tff(28463,plain,
% 5.32/4.81 (~until2p7(s172)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28462, 28457])).
% 5.32/4.81 tff(28464,plain,
% 5.32/4.81 (~xuntil2p8(s171)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8778, 28463])).
% 5.32/4.81 tff(28465,plain,
% 5.32/4.81 (~m_main_v_state(s171, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22872, 145, 28380])).
% 5.32/4.81 tff(28466,plain,
% 5.32/4.81 (m_main_v_state(s171, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22884, 188, 28465])).
% 5.32/4.81 tff(28467,plain,
% 5.32/4.81 (~m_main_v_request(s171)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22893, 28466, 28458])).
% 5.32/4.81 tff(28468,plain,
% 5.32/4.81 (~node4(s171)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22897, 63, 28467])).
% 5.32/4.81 tff(28469,plain,
% 5.32/4.81 (xuntil2p8(s171) | (~until2p7(s171))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8784, 8293, 28468])).
% 5.32/4.81 tff(28470,plain,
% 5.32/4.81 (~until2p7(s171)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28469, 28464])).
% 5.32/4.81 tff(28471,plain,
% 5.32/4.81 (~xuntil2p8(s170)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8790, 28470])).
% 5.32/4.81 tff(28472,plain,
% 5.32/4.81 (~m_main_v_state(s170, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22921, 145, 28379])).
% 5.32/4.81 tff(28473,plain,
% 5.32/4.81 (m_main_v_state(s170, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22925, 188, 28472])).
% 5.32/4.81 tff(28474,plain,
% 5.32/4.81 (~m_main_v_request(s170)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22913, 28473, 28465])).
% 5.32/4.81 tff(28475,plain,
% 5.32/4.81 (~node4(s170)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22904, 63, 28474])).
% 5.32/4.81 tff(28476,plain,
% 5.32/4.81 (xuntil2p8(s170) | (~until2p7(s170))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8796, 8293, 28475])).
% 5.32/4.81 tff(28477,plain,
% 5.32/4.81 (~until2p7(s170)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28476, 28471])).
% 5.32/4.81 tff(28478,plain,
% 5.32/4.81 (~xuntil2p8(s169)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8802, 28477])).
% 5.32/4.81 tff(28479,plain,
% 5.32/4.81 (~m_main_v_state(s169, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8828, 145, 28378])).
% 5.32/4.81 tff(28480,plain,
% 5.32/4.81 (m_main_v_state(s169, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23951, 28479])).
% 5.32/4.81 tff(28481,plain,
% 5.32/4.81 (~m_main_v_request(s169)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22966, 28480, 28472])).
% 5.32/4.81 tff(28482,plain,
% 5.32/4.81 (~node4(s169)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22970, 63, 28481])).
% 5.32/4.81 tff(28483,plain,
% 5.32/4.81 (xuntil2p8(s169) | (~until2p7(s169))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8808, 8293, 28482])).
% 5.32/4.81 tff(28484,plain,
% 5.32/4.81 (~until2p7(s169)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28483, 28478])).
% 5.32/4.81 tff(28485,plain,
% 5.32/4.81 (~xuntil2p8(s168)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8814, 28484])).
% 5.32/4.81 tff(28486,plain,
% 5.32/4.81 (~until2p7(s168)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8854, 28485])).
% 5.32/4.81 tff(28487,plain,
% 5.32/4.81 (~trans(s199, s168)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[13088, 28486, 24887])).
% 5.32/4.81 tff(28488,plain,
% 5.32/4.81 (~xuntil2p8(s167)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8859, 28486])).
% 5.32/4.81 tff(28489,plain,
% 5.32/4.81 (~m_main_v_state(s168, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8844, 145, 28377])).
% 5.32/4.81 tff(28490,plain,
% 5.32/4.81 (~m_main_v_state(s167, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8886, 145, 28376])).
% 5.32/4.81 tff(28491,plain,
% 5.32/4.81 (m_main_v_state(s167, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23981, 28490])).
% 5.32/4.81 tff(28492,plain,
% 5.32/4.81 (~m_main_v_request(s167)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22436, 28491, 28489])).
% 5.32/4.81 tff(28493,plain,
% 5.32/4.81 (~node4(s167)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22427, 63, 28492])).
% 5.32/4.81 tff(28494,plain,
% 5.32/4.81 (xuntil2p8(s167) | (~until2p7(s167))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8866, 8293, 28493])).
% 5.32/4.81 tff(28495,plain,
% 5.32/4.81 (~until2p7(s167)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28494, 28488])).
% 5.32/4.81 tff(28496,plain,
% 5.32/4.81 (~trans(s199, s167)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[12967, 28495, 24887])).
% 5.32/4.81 tff(28497,plain,
% 5.32/4.81 (~trans(s199, s192)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[13363, 24887, 24808])).
% 5.32/4.81 tff(28498,plain,
% 5.32/4.81 (~trans(s199, s190)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[11383, 24887, 24812])).
% 5.32/4.81 tff(28499,plain,
% 5.32/4.81 (~trans(s199, s182)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[11394, 28412, 24887])).
% 5.32/4.81 tff(28500,plain,
% 5.32/4.81 (~trans(s199, s183)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[11405, 28410, 24887])).
% 5.32/4.81 tff(28501,plain,
% 5.32/4.81 (~xuntil2p8(s166)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8872, 28495])).
% 5.32/4.81 tff(28502,plain,
% 5.32/4.81 (~until2p7(s166)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8912, 28501])).
% 5.32/4.81 tff(28503,plain,
% 5.32/4.81 (~xuntil2p8(s165)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8917, 28502])).
% 5.32/4.81 tff(28504,plain,
% 5.32/4.81 (~until2p7(s165)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8951, 28503])).
% 5.32/4.81 tff(28505,plain,
% 5.32/4.81 (~xuntil2p8(s164)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8956, 28504])).
% 5.32/4.81 tff(28506,plain,
% 5.32/4.81 (~until2p7(s164)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8990, 28505])).
% 5.32/4.81 tff(28507,plain,
% 5.32/4.81 (~xuntil2p8(s163)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8995, 28506])).
% 5.32/4.81 tff(28508,plain,
% 5.32/4.81 (~m_main_v_state(s164, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8980, 145, 28373])).
% 5.32/4.81 tff(28509,plain,
% 5.32/4.81 (~m_main_v_state(s163, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4567, 145, 28372])).
% 5.32/4.81 tff(28510,plain,
% 5.32/4.81 (m_main_v_state(s163, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22391, 188, 28509])).
% 5.32/4.81 tff(28511,plain,
% 5.32/4.81 (~m_main_v_request(s163)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22386, 28510, 28508])).
% 5.32/4.81 tff(28512,plain,
% 5.32/4.81 (~node4(s163)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[22377, 63, 28511])).
% 5.32/4.81 tff(28513,plain,
% 5.32/4.81 (xuntil2p8(s163) | (~until2p7(s163))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9004, 8293, 28512])).
% 5.32/4.81 tff(28514,plain,
% 5.32/4.81 (~until2p7(s163)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28513, 28507])).
% 5.32/4.81 tff(28515,plain,
% 5.32/4.81 (~xuntil2p8(s162)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9010, 28514])).
% 5.32/4.81 tff(28516,plain,
% 5.32/4.81 (~until2p7(s162)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9015, 28515])).
% 5.32/4.81 tff(28517,plain,
% 5.32/4.81 (~xuntil2p8(s161)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9020, 28516])).
% 5.32/4.81 tff(28518,plain,
% 5.32/4.81 (~m_main_v_state(s162, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4583, 145, 28371])).
% 5.32/4.81 tff(28519,plain,
% 5.32/4.81 (~m_main_v_state(s161, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9047, 145, 28370])).
% 5.32/4.81 tff(28520,plain,
% 5.32/4.81 (m_main_v_state(s161, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21448, 188, 28519])).
% 5.32/4.81 tff(28521,plain,
% 5.32/4.81 (~m_main_v_request(s161)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21457, 28520, 28518])).
% 5.32/4.81 tff(28522,plain,
% 5.32/4.81 (~node4(s161)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21461, 63, 28521])).
% 5.32/4.81 tff(28523,plain,
% 5.32/4.81 (xuntil2p8(s161) | (~until2p7(s161))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9027, 8293, 28522])).
% 5.32/4.81 tff(28524,plain,
% 5.32/4.81 (~until2p7(s161)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28523, 28517])).
% 5.32/4.81 tff(28525,plain,
% 5.32/4.81 (~xuntil2p8(s160)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9033, 28524])).
% 5.32/4.81 tff(28526,plain,
% 5.32/4.81 (~until2p7(s160)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9073, 28525])).
% 5.32/4.81 tff(28527,plain,
% 5.32/4.81 (~xuntil2p8(s159)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9078, 28526])).
% 5.32/4.81 tff(28528,plain,
% 5.32/4.81 (~m_main_v_state(s160, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9063, 145, 28369])).
% 5.32/4.81 tff(28529,plain,
% 5.32/4.81 (~m_main_v_state(s159, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21547, 145, 28368])).
% 5.32/4.81 tff(28530,plain,
% 5.32/4.81 (~m_main_v_state(s158, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21560, 145, 28367])).
% 5.32/4.81 tff(28531,plain,
% 5.32/4.81 (m_main_v_state(s158, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21583, 28530])).
% 5.32/4.81 tff(28532,plain,
% 5.32/4.81 (m_main_v_state(s159, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21609, 28531, 28529])).
% 5.32/4.81 tff(28533,plain,
% 5.32/4.81 (~m_main_v_request(s159)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21540, 28532, 28528])).
% 5.32/4.81 tff(28534,plain,
% 5.32/4.81 (~node4(s159)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21510, 63, 28533])).
% 5.32/4.81 tff(28535,plain,
% 5.32/4.81 (xuntil2p8(s159) | (~until2p7(s159))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9085, 8293, 28534])).
% 5.32/4.81 tff(28536,plain,
% 5.32/4.81 (~until2p7(s159)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28535, 28527])).
% 5.32/4.81 tff(28537,plain,
% 5.32/4.81 (~xuntil2p8(s158)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9091, 28536])).
% 5.32/4.81 tff(28538,plain,
% 5.32/4.81 (~node4(s158)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21625, 28529])).
% 5.32/4.81 tff(28539,plain,
% 5.32/4.81 (xuntil2p8(s158) | (~until2p7(s158))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9097, 8293, 28538])).
% 5.32/4.81 tff(28540,plain,
% 5.32/4.81 (~until2p7(s158)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28539, 28537])).
% 5.32/4.81 tff(28541,plain,
% 5.32/4.81 (~xuntil2p8(s157)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9103, 28540])).
% 5.32/4.81 tff(28542,plain,
% 5.32/4.81 (~m_main_v_state(s157, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21636, 145, 28366])).
% 5.32/4.81 tff(28543,plain,
% 5.32/4.81 (m_main_v_state(s157, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21640, 188, 28542])).
% 5.32/4.81 tff(28544,plain,
% 5.32/4.81 (~m_main_v_request(s157)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21649, 28543, 28530])).
% 5.32/4.81 tff(28545,plain,
% 5.32/4.81 (~node4(s157)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21653, 63, 28544])).
% 5.32/4.81 tff(28546,plain,
% 5.32/4.81 (xuntil2p8(s157) | (~until2p7(s157))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9109, 8293, 28545])).
% 5.32/4.81 tff(28547,plain,
% 5.32/4.81 (~until2p7(s157)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28546, 28541])).
% 5.32/4.81 tff(28548,plain,
% 5.32/4.81 (~xuntil2p8(s156)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9115, 28547])).
% 5.32/4.81 tff(28549,plain,
% 5.32/4.81 (~m_main_v_state(s156, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21663, 145, 28365])).
% 5.32/4.81 tff(28550,plain,
% 5.32/4.81 (m_main_v_state(s156, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21667, 188, 28549])).
% 5.32/4.81 tff(28551,plain,
% 5.32/4.81 (~m_main_v_request(s156)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21751, 28550, 28542])).
% 5.32/4.81 tff(28552,plain,
% 5.32/4.81 (~node4(s156)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21742, 63, 28551])).
% 5.32/4.81 tff(28553,plain,
% 5.32/4.81 (xuntil2p8(s156) | (~until2p7(s156))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9121, 8293, 28552])).
% 5.32/4.81 tff(28554,plain,
% 5.32/4.81 (~until2p7(s156)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28553, 28548])).
% 5.32/4.81 tff(28555,plain,
% 5.32/4.81 (~xuntil2p8(s155)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9127, 28554])).
% 5.32/4.81 tff(28556,plain,
% 5.32/4.81 (~m_main_v_state(s155, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21693, 145, 28364])).
% 5.32/4.81 tff(28557,plain,
% 5.32/4.81 (m_main_v_state(s155, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21698, 188, 28556])).
% 5.32/4.81 tff(28558,plain,
% 5.32/4.81 (~m_main_v_request(s155)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21707, 28557, 28549])).
% 5.32/4.81 tff(28559,plain,
% 5.32/4.81 (~node4(s155)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21711, 63, 28558])).
% 5.32/4.81 tff(28560,plain,
% 5.32/4.81 (xuntil2p8(s155) | (~until2p7(s155))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9133, 8293, 28559])).
% 5.32/4.81 tff(28561,plain,
% 5.32/4.81 (~until2p7(s155)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28560, 28555])).
% 5.32/4.81 tff(28562,plain,
% 5.32/4.81 (~xuntil2p8(s154)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9139, 28561])).
% 5.32/4.81 tff(28563,plain,
% 5.32/4.81 (~m_main_v_state(s154, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9165, 145, 28363])).
% 5.32/4.81 tff(28564,plain,
% 5.32/4.81 (m_main_v_state(s154, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21733, 188, 28563])).
% 5.32/4.81 tff(28565,plain,
% 5.32/4.81 (~m_main_v_request(s154)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21727, 28564, 28556])).
% 5.32/4.81 tff(28566,plain,
% 5.32/4.81 (~node4(s154)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21718, 63, 28565])).
% 5.32/4.81 tff(28567,plain,
% 5.32/4.81 (xuntil2p8(s154) | (~until2p7(s154))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9145, 8293, 28566])).
% 5.32/4.81 tff(28568,plain,
% 5.32/4.81 (~until2p7(s154)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28567, 28562])).
% 5.32/4.81 tff(28569,plain,
% 5.32/4.81 (~xuntil2p8(s153)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9151, 28568])).
% 5.32/4.81 tff(28570,plain,
% 5.32/4.81 (~until2p7(s153)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9191, 28569])).
% 5.32/4.81 tff(28571,plain,
% 5.32/4.81 (~xuntil2p8(s152)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9196, 28570])).
% 5.32/4.81 tff(28572,plain,
% 5.32/4.81 (~until2p7(s152)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9230, 28571])).
% 5.32/4.81 tff(28573,plain,
% 5.32/4.81 (~xuntil2p8(s151)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9235, 28572])).
% 5.32/4.81 tff(28574,plain,
% 5.32/4.81 (~m_main_v_state(s152, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9220, 145, 28361])).
% 5.32/4.81 tff(28575,plain,
% 5.32/4.81 (~m_main_v_state(s151, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21839, 145, 28360])).
% 5.32/4.81 tff(28576,plain,
% 5.32/4.81 (m_main_v_state(s151, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[24065, 28575])).
% 5.32/4.81 tff(28577,plain,
% 5.32/4.81 (~m_main_v_request(s151)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21852, 28576, 28574])).
% 5.32/4.81 tff(28578,plain,
% 5.32/4.81 (~node4(s151)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21856, 63, 28577])).
% 5.32/4.81 tff(28579,plain,
% 5.32/4.81 (xuntil2p8(s151) | (~until2p7(s151))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9243, 8293, 28578])).
% 5.32/4.81 tff(28580,plain,
% 5.32/4.81 (~until2p7(s151)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28579, 28573])).
% 5.32/4.81 tff(28581,plain,
% 5.32/4.81 (~xuntil2p8(s150)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9249, 28580])).
% 5.32/4.81 tff(28582,plain,
% 5.32/4.81 (~m_main_v_state(s150, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21867, 145, 28359])).
% 5.32/4.81 tff(28583,plain,
% 5.32/4.81 (m_main_v_state(s150, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21891, 188, 28582])).
% 5.32/4.81 tff(28584,plain,
% 5.32/4.81 (~m_main_v_request(s150)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21886, 28583, 28575])).
% 5.32/4.81 tff(28585,plain,
% 5.32/4.81 (~node4(s150)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21877, 63, 28584])).
% 5.32/4.81 tff(28586,plain,
% 5.32/4.81 (xuntil2p8(s150) | (~until2p7(s150))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9255, 8293, 28585])).
% 5.32/4.81 tff(28587,plain,
% 5.32/4.81 (~until2p7(s150)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28586, 28581])).
% 5.32/4.81 tff(28588,plain,
% 5.32/4.81 (~xuntil2p8(s149)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9261, 28587])).
% 5.32/4.81 tff(28589,plain,
% 5.32/4.81 (~m_main_v_state(s149, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9287, 145, 28358])).
% 5.32/4.81 tff(28590,plain,
% 5.32/4.81 (m_main_v_state(s149, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[24102, 28589])).
% 5.32/4.81 tff(28591,plain,
% 5.32/4.81 (~m_main_v_request(s149)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21912, 28590, 28582])).
% 5.32/4.81 tff(28592,plain,
% 5.32/4.81 (~node4(s149)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21903, 63, 28591])).
% 5.32/4.81 tff(28593,plain,
% 5.32/4.81 (xuntil2p8(s149) | (~until2p7(s149))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9267, 8293, 28592])).
% 5.32/4.81 tff(28594,plain,
% 5.32/4.81 (~until2p7(s149)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28593, 28588])).
% 5.32/4.81 tff(28595,plain,
% 5.32/4.81 (~xuntil2p8(s148)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9273, 28594])).
% 5.32/4.81 tff(28596,plain,
% 5.32/4.81 (~until2p7(s148)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9313, 28595])).
% 5.32/4.81 tff(28597,plain,
% 5.32/4.81 (~xuntil2p8(s147)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9318, 28596])).
% 5.32/4.81 tff(28598,plain,
% 5.32/4.81 (~until2p7(s147)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23778, 28597])).
% 5.32/4.81 tff(28599,plain,
% 5.32/4.81 (~xuntil2p8(s146)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9331, 28598])).
% 5.32/4.81 tff(28600,plain,
% 5.32/4.81 (~until2p7(s146)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9336, 28599])).
% 5.32/4.81 tff(28601,plain,
% 5.32/4.81 (~xuntil2p8(s145)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9341, 28600])).
% 5.32/4.81 tff(28602,plain,
% 5.32/4.81 (~until2p7(s145)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23773, 28601])).
% 5.32/4.81 tff(28603,plain,
% 5.32/4.81 (~xuntil2p8(s144)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9354, 28602])).
% 5.32/4.81 tff(28604,plain,
% 5.32/4.81 (~m_main_v_state(s145, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[20984, 145, 28354])).
% 5.32/4.81 tff(28605,plain,
% 5.32/4.81 (~m_main_v_state(s144, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[20976, 145, 28353])).
% 5.32/4.81 tff(28606,plain,
% 5.32/4.81 (m_main_v_state(s144, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23737, 28605])).
% 5.32/4.81 tff(28607,plain,
% 5.32/4.81 (~m_main_v_request(s144)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[20997, 28606, 28604])).
% 5.32/4.81 tff(28608,plain,
% 5.32/4.81 (~node4(s144)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21001, 63, 28607])).
% 5.32/4.81 tff(28609,plain,
% 5.32/4.81 (xuntil2p8(s144) | (~until2p7(s144))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9360, 8293, 28608])).
% 5.32/4.81 tff(28610,plain,
% 5.32/4.81 (~until2p7(s144)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28609, 28603])).
% 5.32/4.81 tff(28611,plain,
% 5.32/4.81 (~xuntil2p8(s143)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9366, 28610])).
% 5.32/4.81 tff(28612,plain,
% 5.32/4.81 (~m_main_v_state(s143, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[20908, 145, 28352])).
% 5.32/4.81 tff(28613,plain,
% 5.32/4.81 (~node1(s142)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23717, 28612])).
% 5.32/4.81 tff(28614,plain,
% 5.32/4.81 (m_main_v_state(s143, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23725, 28612, 28613])).
% 5.32/4.81 tff(28615,plain,
% 5.32/4.81 (~m_main_v_request(s143)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21017, 28614, 28605])).
% 5.32/4.81 tff(28616,plain,
% 5.32/4.81 (~node4(s143)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[21008, 63, 28615])).
% 5.32/4.81 tff(28617,plain,
% 5.32/4.81 (xuntil2p8(s143) | (~until2p7(s143))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9372, 8293, 28616])).
% 5.32/4.81 tff(28618,plain,
% 5.32/4.81 (~until2p7(s143)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28617, 28611])).
% 5.32/4.81 tff(28619,plain,
% 5.32/4.81 (~xuntil2p8(s142)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9378, 28618])).
% 5.32/4.81 tff(28620,plain,
% 5.32/4.81 (~m_main_v_state(s142, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[20931, 145, 28351])).
% 5.32/4.81 tff(28621,plain,
% 5.32/4.81 (m_main_v_state(s142, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[20935, 188, 28620])).
% 5.32/4.81 tff(28622,plain,
% 5.32/4.81 (~m_main_v_request(s142)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[20924, 28621, 28612])).
% 5.32/4.81 tff(28623,plain,
% 5.32/4.81 (~node4(s142)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[20915, 63, 28622])).
% 5.32/4.81 tff(28624,plain,
% 5.32/4.81 (xuntil2p8(s142) | (~until2p7(s142))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9384, 8293, 28623])).
% 5.32/4.81 tff(28625,plain,
% 5.32/4.81 (~until2p7(s142)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28624, 28619])).
% 5.32/4.81 tff(28626,plain,
% 5.32/4.81 (~xuntil2p8(s141)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9390, 28625])).
% 5.32/4.81 tff(28627,plain,
% 5.32/4.81 (~node4(s141)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[20964, 28620])).
% 5.32/4.81 tff(28628,plain,
% 5.32/4.81 (xuntil2p8(s141) | (~until2p7(s141))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9396, 8293, 28627])).
% 5.32/4.81 tff(28629,plain,
% 5.32/4.81 (~until2p7(s141)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28628, 28626])).
% 5.32/4.81 tff(28630,plain,
% 5.32/4.81 (~xuntil2p8(s140)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[9402, 28629])).
% 5.32/4.81 tff(28631,plain,
% 5.32/4.81 (~trans(s199, s140)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28064, 28630, 24887])).
% 5.32/4.81 tff(28632,plain,
% 5.32/4.81 (always3(s132)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28340, 11264, 13662, 12474, 13659, 13658, 13656, 13655, 13654, 13652, 13651, 13650, 13665, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13604, 13603, 13601, 13598, 13597, 13594, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13515, 13514, 13513, 13512, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 13489, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.32/4.81 tff(28633,plain,
% 5.32/4.81 (always3(s133)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5296, 28632])).
% 5.32/4.81 tff(28634,plain,
% 5.32/4.81 (always3(s134)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5267, 28633])).
% 5.32/4.81 tff(28635,plain,
% 5.32/4.81 (always3(s135)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5238, 28634])).
% 5.32/4.81 tff(28636,plain,
% 5.32/4.81 (always3(s136)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5209, 28635])).
% 5.32/4.81 tff(28637,plain,
% 5.32/4.81 (always3(s137)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5180, 28636])).
% 5.32/4.81 tff(28638,plain,
% 5.32/4.81 (always3(s138)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5151, 28637])).
% 5.32/4.81 tff(28639,plain,
% 5.32/4.81 (always3(s139)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5122, 28638])).
% 5.32/4.81 tff(28640,plain,
% 5.32/4.81 (always3(s140)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5093, 28639])).
% 5.32/4.81 tff(28641,plain,
% 5.32/4.81 (always3(s141)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5064, 28640])).
% 5.32/4.81 tff(28642,plain,
% 5.32/4.81 (always3(s142)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5035, 28641])).
% 5.32/4.81 tff(28643,plain,
% 5.32/4.81 (always3(s143)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[5006, 28642])).
% 5.32/4.81 tff(28644,plain,
% 5.32/4.81 (always3(s144)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4968, 28643])).
% 5.32/4.81 tff(28645,plain,
% 5.32/4.81 (always3(s145)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4334, 28644])).
% 5.32/4.81 tff(28646,plain,
% 5.32/4.81 (always3(s146)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4322, 28645])).
% 5.32/4.81 tff(28647,plain,
% 5.32/4.81 (always3(s147)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4310, 28646])).
% 5.32/4.81 tff(28648,plain,
% 5.32/4.81 (always3(s148)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4298, 28647])).
% 5.32/4.81 tff(28649,plain,
% 5.32/4.81 (always3(s149)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4286, 28648])).
% 5.32/4.81 tff(28650,plain,
% 5.32/4.81 (always3(s150)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4274, 28649])).
% 5.32/4.81 tff(28651,plain,
% 5.32/4.81 (always3(s151)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4262, 28650])).
% 5.32/4.81 tff(28652,plain,
% 5.32/4.81 (always3(s152)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4250, 28651])).
% 5.32/4.81 tff(28653,plain,
% 5.32/4.81 (always3(s153)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4238, 28652])).
% 5.32/4.81 tff(28654,plain,
% 5.32/4.81 (always3(s154)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4226, 28653])).
% 5.32/4.81 tff(28655,plain,
% 5.32/4.81 (always3(s155)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4214, 28654])).
% 5.32/4.81 tff(28656,plain,
% 5.32/4.81 (always3(s156)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4202, 28655])).
% 5.32/4.81 tff(28657,plain,
% 5.32/4.81 (always3(s157)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4190, 28656])).
% 5.32/4.81 tff(28658,plain,
% 5.32/4.81 (always3(s158)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4178, 28657])).
% 5.32/4.81 tff(28659,plain,
% 5.32/4.81 (always3(s159)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4166, 28658])).
% 5.32/4.81 tff(28660,plain,
% 5.32/4.81 (always3(s160)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4154, 28659])).
% 5.32/4.81 tff(28661,plain,
% 5.32/4.81 (always3(s161)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4142, 28660])).
% 5.32/4.81 tff(28662,plain,
% 5.32/4.81 (always3(s162)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4130, 28661])).
% 5.32/4.81 tff(28663,plain,
% 5.32/4.81 (always3(s163)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4118, 28662])).
% 5.32/4.81 tff(28664,plain,
% 5.32/4.81 (always3(s164)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4106, 28663])).
% 5.32/4.81 tff(28665,plain,
% 5.32/4.81 (always3(s165)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4094, 28664])).
% 5.32/4.81 tff(28666,plain,
% 5.32/4.81 (always3(s166)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4082, 28665])).
% 5.32/4.81 tff(28667,plain,
% 5.32/4.81 (always3(s167)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4070, 28666])).
% 5.32/4.81 tff(28668,plain,
% 5.32/4.81 (always3(s168)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4058, 28667])).
% 5.32/4.81 tff(28669,plain,
% 5.32/4.81 (always3(s169)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4046, 28668])).
% 5.32/4.81 tff(28670,plain,
% 5.32/4.81 (always3(s170)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4034, 28669])).
% 5.32/4.81 tff(28671,plain,
% 5.32/4.81 (always3(s171)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4022, 28670])).
% 5.32/4.81 tff(28672,plain,
% 5.32/4.81 (always3(s172)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[4010, 28671])).
% 5.32/4.81 tff(28673,plain,
% 5.32/4.81 (always3(s173)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3998, 28672])).
% 5.32/4.81 tff(28674,plain,
% 5.32/4.81 (always3(s174)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3986, 28673])).
% 5.32/4.81 tff(28675,plain,
% 5.32/4.81 (always3(s175)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3973, 28674])).
% 5.32/4.81 tff(28676,plain,
% 5.32/4.81 (always3(s176)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3961, 28675])).
% 5.32/4.81 tff(28677,plain,
% 5.32/4.81 (always3(s177)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3949, 28676])).
% 5.32/4.81 tff(28678,plain,
% 5.32/4.81 (always3(s178)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3937, 28677])).
% 5.32/4.81 tff(28679,plain,
% 5.32/4.81 (always3(s179)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3925, 28678])).
% 5.32/4.81 tff(28680,plain,
% 5.32/4.81 (always3(s180)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3913, 28679])).
% 5.32/4.81 tff(28681,plain,
% 5.32/4.81 (always3(s181)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3901, 28680])).
% 5.32/4.81 tff(28682,plain,
% 5.32/4.81 (~m_main_v_state(s181, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23041, 145, 28681])).
% 5.32/4.81 tff(28683,plain,
% 5.32/4.81 (~m_main_v_state(s180, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23086, 145, 28680])).
% 5.32/4.81 tff(28684,plain,
% 5.32/4.81 (m_main_v_state(s180, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23090, 188, 28683])).
% 5.32/4.81 tff(28685,plain,
% 5.32/4.81 (~m_main_v_request(s180)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23079, 28684, 28682])).
% 5.32/4.81 tff(28686,plain,
% 5.32/4.81 (~node4(s180)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23070, 63, 28685])).
% 5.32/4.81 tff(28687,plain,
% 5.32/4.81 (always3(s182)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3885, 28681])).
% 5.32/4.81 tff(28688,plain,
% 5.32/4.81 (~m_main_v_state(s182, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8159, 145, 28687])).
% 5.32/4.81 tff(28689,plain,
% 5.32/4.81 (m_main_v_state(s181, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23045, 188, 28682])).
% 5.32/4.81 tff(28690,plain,
% 5.32/4.81 (~m_main_v_request(s181)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23054, 28689, 28688])).
% 5.32/4.81 tff(28691,plain,
% 5.32/4.81 (~node4(s181)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23058, 63, 28690])).
% 5.32/4.81 tff(28692,plain,
% 5.32/4.81 (always3(s183)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3873, 28687])).
% 5.32/4.81 tff(28693,plain,
% 5.32/4.81 (always3(s184)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[3857, 28692])).
% 5.32/4.81 tff(28694,plain,
% 5.32/4.81 (~m_main_v_state(s184, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8570, 145, 28693])).
% 5.32/4.81 tff(28695,plain,
% 5.32/4.81 (~m_main_v_state(s183, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8143, 145, 28692])).
% 5.32/4.81 tff(28696,plain,
% 5.32/4.81 (m_main_v_state(s182, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23834, 28688])).
% 5.32/4.81 tff(28697,plain,
% 5.32/4.81 (m_main_v_state(s183, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23852, 28696, 28695])).
% 5.32/4.81 tff(28698,plain,
% 5.32/4.81 (~m_main_v_request(s183)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23248, 28697, 28694])).
% 5.32/4.81 tff(28699,plain,
% 5.32/4.81 (~node4(s183)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23239, 63, 28698])).
% 5.32/4.81 tff(28700,plain,
% 5.32/4.81 (~until2p7(s183)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[26057, 28699])).
% 5.32/4.81 tff(28701,plain,
% 5.32/4.81 (~xuntil2p8(s182)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8595, 28700])).
% 5.32/4.81 tff(28702,plain,
% 5.32/4.81 (~until2p7(s182)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8600, 28701])).
% 5.32/4.81 tff(28703,plain,
% 5.32/4.81 (~xuntil2p8(s181)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8605, 28702])).
% 5.32/4.81 tff(28704,plain,
% 5.32/4.81 (~until2p7(s181)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8609, 8293, 28703, 28691])).
% 5.32/4.81 tff(28705,plain,
% 5.32/4.81 (~xuntil2p8(s180)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8615, 28704])).
% 5.32/4.81 tff(28706,plain,
% 5.32/4.81 (~until2p7(s180)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8620, 8293, 28705, 28686])).
% 5.32/4.81 tff(28707,plain,
% 5.32/4.81 (~xuntil2p8(s179)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8626, 28706])).
% 5.32/4.81 tff(28708,plain,
% 5.32/4.81 (~m_main_v_state(s179, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8651, 145, 28679])).
% 5.32/4.81 tff(28709,plain,
% 5.32/4.81 (m_main_v_state(s179, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23199, 188, 28708])).
% 5.32/4.81 tff(28710,plain,
% 5.32/4.81 (~m_main_v_request(s179)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23178, 28709, 28683])).
% 5.32/4.81 tff(28711,plain,
% 5.32/4.81 (~node4(s179)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23167, 63, 28710])).
% 5.32/4.81 tff(28712,plain,
% 5.32/4.81 (xuntil2p8(s179) | (~until2p7(s179))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8631, 8293, 28711])).
% 5.32/4.81 tff(28713,plain,
% 5.32/4.81 (~until2p7(s179)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28712, 28707])).
% 5.32/4.81 tff(28714,plain,
% 5.32/4.81 (~xuntil2p8(s178)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8637, 28713])).
% 5.32/4.81 tff(28715,plain,
% 5.32/4.81 (~until2p7(s178)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8677, 28714])).
% 5.32/4.81 tff(28716,plain,
% 5.32/4.81 (~xuntil2p8(s177)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8682, 28715])).
% 5.32/4.81 tff(28717,plain,
% 5.32/4.81 (~until2p7(s177)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8716, 28716])).
% 5.32/4.81 tff(28718,plain,
% 5.32/4.81 (~xuntil2p8(s176)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8721, 28717])).
% 5.32/4.81 tff(28719,plain,
% 5.32/4.81 (~m_main_v_state(s177, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8706, 145, 28677])).
% 5.32/4.81 tff(28720,plain,
% 5.32/4.81 (~m_main_v_state(s176, c_busy)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23111, 145, 28676])).
% 5.32/4.81 tff(28721,plain,
% 5.32/4.81 (m_main_v_state(s176, c_ready)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23117, 188, 28720])).
% 5.32/4.81 tff(28722,plain,
% 5.32/4.81 (~m_main_v_request(s176)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23126, 28721, 28719])).
% 5.32/4.81 tff(28723,plain,
% 5.32/4.81 (~node4(s176)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[23130, 63, 28722])).
% 5.32/4.81 tff(28724,plain,
% 5.32/4.81 (xuntil2p8(s176) | (~until2p7(s176))),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[8726, 8293, 28723])).
% 5.32/4.81 tff(28725,plain,
% 5.32/4.81 (~until2p7(s176)),
% 5.32/4.81 inference(unit_resolution,[status(thm)],[28724, 28718])).
% 5.32/4.81 tff(28726,plain,
% 5.32/4.82 (~xuntil2p8(s175)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8732, 28725])).
% 5.32/4.82 tff(28727,plain,
% 5.32/4.82 (~m_main_v_state(s175, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22998, 145, 28675])).
% 5.32/4.82 tff(28728,plain,
% 5.32/4.82 (m_main_v_state(s175, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[23152, 188, 28727])).
% 5.32/4.82 tff(28729,plain,
% 5.32/4.82 (~m_main_v_request(s175)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[23146, 28728, 28720])).
% 5.32/4.82 tff(28730,plain,
% 5.32/4.82 (~node4(s175)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[23137, 63, 28729])).
% 5.32/4.82 tff(28731,plain,
% 5.32/4.82 (xuntil2p8(s175) | (~until2p7(s175))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8737, 8293, 28730])).
% 5.32/4.82 tff(28732,plain,
% 5.32/4.82 (~until2p7(s175)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28731, 28726])).
% 5.32/4.82 tff(28733,plain,
% 5.32/4.82 (~xuntil2p8(s174)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8743, 28732])).
% 5.32/4.82 tff(28734,plain,
% 5.32/4.82 (~m_main_v_state(s174, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22810, 145, 28674])).
% 5.32/4.82 tff(28735,plain,
% 5.32/4.82 (m_main_v_state(s174, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[23019, 188, 28734])).
% 5.32/4.82 tff(28736,plain,
% 5.32/4.82 (~m_main_v_request(s174)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[23014, 28735, 28727])).
% 5.32/4.82 tff(28737,plain,
% 5.32/4.82 (~node4(s174)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[23005, 63, 28736])).
% 5.32/4.82 tff(28738,plain,
% 5.32/4.82 (xuntil2p8(s174) | (~until2p7(s174))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8748, 8293, 28737])).
% 5.32/4.82 tff(28739,plain,
% 5.32/4.82 (~until2p7(s174)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28738, 28733])).
% 5.32/4.82 tff(28740,plain,
% 5.32/4.82 (~xuntil2p8(s173)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8754, 28739])).
% 5.32/4.82 tff(28741,plain,
% 5.32/4.82 (~m_main_v_state(s173, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22801, 145, 28673])).
% 5.32/4.82 tff(28742,plain,
% 5.32/4.82 (m_main_v_state(s173, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[23919, 28741])).
% 5.32/4.82 tff(28743,plain,
% 5.32/4.82 (~m_main_v_request(s173)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22826, 28742, 28734])).
% 5.32/4.82 tff(28744,plain,
% 5.32/4.82 (~node4(s173)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22817, 63, 28743])).
% 5.32/4.82 tff(28745,plain,
% 5.32/4.82 (xuntil2p8(s173) | (~until2p7(s173))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8760, 8293, 28744])).
% 5.32/4.82 tff(28746,plain,
% 5.32/4.82 (~until2p7(s173)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28745, 28740])).
% 5.32/4.82 tff(28747,plain,
% 5.32/4.82 (~xuntil2p8(s172)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8766, 28746])).
% 5.32/4.82 tff(28748,plain,
% 5.32/4.82 (~m_main_v_state(s172, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22880, 145, 28672])).
% 5.32/4.82 tff(28749,plain,
% 5.32/4.82 (m_main_v_state(s172, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22948, 188, 28748])).
% 5.32/4.82 tff(28750,plain,
% 5.32/4.82 (~m_main_v_request(s172)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22942, 28749, 28741])).
% 5.32/4.82 tff(28751,plain,
% 5.32/4.82 (~node4(s172)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22933, 63, 28750])).
% 5.32/4.82 tff(28752,plain,
% 5.32/4.82 (xuntil2p8(s172) | (~until2p7(s172))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8772, 8293, 28751])).
% 5.32/4.82 tff(28753,plain,
% 5.32/4.82 (~until2p7(s172)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28752, 28747])).
% 5.32/4.82 tff(28754,plain,
% 5.32/4.82 (~xuntil2p8(s171)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8778, 28753])).
% 5.32/4.82 tff(28755,plain,
% 5.32/4.82 (~m_main_v_state(s171, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22872, 145, 28671])).
% 5.32/4.82 tff(28756,plain,
% 5.32/4.82 (m_main_v_state(s171, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22884, 188, 28755])).
% 5.32/4.82 tff(28757,plain,
% 5.32/4.82 (~m_main_v_request(s171)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22893, 28756, 28748])).
% 5.32/4.82 tff(28758,plain,
% 5.32/4.82 (~node4(s171)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22897, 63, 28757])).
% 5.32/4.82 tff(28759,plain,
% 5.32/4.82 (xuntil2p8(s171) | (~until2p7(s171))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8784, 8293, 28758])).
% 5.32/4.82 tff(28760,plain,
% 5.32/4.82 (~until2p7(s171)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28759, 28754])).
% 5.32/4.82 tff(28761,plain,
% 5.32/4.82 (~xuntil2p8(s170)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8790, 28760])).
% 5.32/4.82 tff(28762,plain,
% 5.32/4.82 (~m_main_v_state(s170, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22921, 145, 28670])).
% 5.32/4.82 tff(28763,plain,
% 5.32/4.82 (m_main_v_state(s170, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22925, 188, 28762])).
% 5.32/4.82 tff(28764,plain,
% 5.32/4.82 (~m_main_v_request(s170)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22913, 28763, 28755])).
% 5.32/4.82 tff(28765,plain,
% 5.32/4.82 (~node4(s170)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22904, 63, 28764])).
% 5.32/4.82 tff(28766,plain,
% 5.32/4.82 (xuntil2p8(s170) | (~until2p7(s170))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8796, 8293, 28765])).
% 5.32/4.82 tff(28767,plain,
% 5.32/4.82 (~until2p7(s170)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28766, 28761])).
% 5.32/4.82 tff(28768,plain,
% 5.32/4.82 (~xuntil2p8(s169)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8802, 28767])).
% 5.32/4.82 tff(28769,plain,
% 5.32/4.82 (~m_main_v_state(s169, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8828, 145, 28669])).
% 5.32/4.82 tff(28770,plain,
% 5.32/4.82 (m_main_v_state(s169, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[23951, 28769])).
% 5.32/4.82 tff(28771,plain,
% 5.32/4.82 (~m_main_v_request(s169)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22966, 28770, 28762])).
% 5.32/4.82 tff(28772,plain,
% 5.32/4.82 (~node4(s169)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22970, 63, 28771])).
% 5.32/4.82 tff(28773,plain,
% 5.32/4.82 (xuntil2p8(s169) | (~until2p7(s169))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8808, 8293, 28772])).
% 5.32/4.82 tff(28774,plain,
% 5.32/4.82 (~until2p7(s169)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28773, 28768])).
% 5.32/4.82 tff(28775,plain,
% 5.32/4.82 (~xuntil2p8(s168)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8814, 28774])).
% 5.32/4.82 tff(28776,plain,
% 5.32/4.82 (~until2p7(s168)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8854, 28775])).
% 5.32/4.82 tff(28777,plain,
% 5.32/4.82 (~trans(s199, s168)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[13088, 28776, 11264])).
% 5.32/4.82 tff(28778,plain,
% 5.32/4.82 (~xuntil2p8(s167)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8859, 28776])).
% 5.32/4.82 tff(28779,plain,
% 5.32/4.82 (~m_main_v_state(s168, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8844, 145, 28668])).
% 5.32/4.82 tff(28780,plain,
% 5.32/4.82 (~m_main_v_state(s167, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8886, 145, 28667])).
% 5.32/4.82 tff(28781,plain,
% 5.32/4.82 (m_main_v_state(s167, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[23981, 28780])).
% 5.32/4.82 tff(28782,plain,
% 5.32/4.82 (~m_main_v_request(s167)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22436, 28781, 28779])).
% 5.32/4.82 tff(28783,plain,
% 5.32/4.82 (~node4(s167)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22427, 63, 28782])).
% 5.32/4.82 tff(28784,plain,
% 5.32/4.82 (xuntil2p8(s167) | (~until2p7(s167))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8866, 8293, 28783])).
% 5.32/4.82 tff(28785,plain,
% 5.32/4.82 (~until2p7(s167)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28784, 28778])).
% 5.32/4.82 tff(28786,plain,
% 5.32/4.82 (~trans(s199, s167)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[12967, 28785, 11264])).
% 5.32/4.82 tff(28787,plain,
% 5.32/4.82 (~trans(s199, s182)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[11394, 28702, 11264])).
% 5.32/4.82 tff(28788,plain,
% 5.32/4.82 (~trans(s199, s183)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[11405, 28700, 11264])).
% 5.32/4.82 tff(28789,plain,
% 5.32/4.82 (~xuntil2p8(s166)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8872, 28785])).
% 5.32/4.82 tff(28790,plain,
% 5.32/4.82 (~until2p7(s166)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8912, 28789])).
% 5.32/4.82 tff(28791,plain,
% 5.32/4.82 (~xuntil2p8(s165)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8917, 28790])).
% 5.32/4.82 tff(28792,plain,
% 5.32/4.82 (~until2p7(s165)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8951, 28791])).
% 5.32/4.82 tff(28793,plain,
% 5.32/4.82 (~xuntil2p8(s164)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8956, 28792])).
% 5.32/4.82 tff(28794,plain,
% 5.32/4.82 (~until2p7(s164)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8990, 28793])).
% 5.32/4.82 tff(28795,plain,
% 5.32/4.82 (~xuntil2p8(s163)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8995, 28794])).
% 5.32/4.82 tff(28796,plain,
% 5.32/4.82 (~m_main_v_state(s164, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[8980, 145, 28664])).
% 5.32/4.82 tff(28797,plain,
% 5.32/4.82 (~m_main_v_state(s163, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[4567, 145, 28663])).
% 5.32/4.82 tff(28798,plain,
% 5.32/4.82 (m_main_v_state(s163, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22391, 188, 28797])).
% 5.32/4.82 tff(28799,plain,
% 5.32/4.82 (~m_main_v_request(s163)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22386, 28798, 28796])).
% 5.32/4.82 tff(28800,plain,
% 5.32/4.82 (~node4(s163)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[22377, 63, 28799])).
% 5.32/4.82 tff(28801,plain,
% 5.32/4.82 (xuntil2p8(s163) | (~until2p7(s163))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9004, 8293, 28800])).
% 5.32/4.82 tff(28802,plain,
% 5.32/4.82 (~until2p7(s163)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28801, 28795])).
% 5.32/4.82 tff(28803,plain,
% 5.32/4.82 (~xuntil2p8(s162)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9010, 28802])).
% 5.32/4.82 tff(28804,plain,
% 5.32/4.82 (~until2p7(s162)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9015, 28803])).
% 5.32/4.82 tff(28805,plain,
% 5.32/4.82 (~xuntil2p8(s161)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9020, 28804])).
% 5.32/4.82 tff(28806,plain,
% 5.32/4.82 (~m_main_v_state(s162, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[4583, 145, 28662])).
% 5.32/4.82 tff(28807,plain,
% 5.32/4.82 (~m_main_v_state(s161, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9047, 145, 28661])).
% 5.32/4.82 tff(28808,plain,
% 5.32/4.82 (m_main_v_state(s161, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21448, 188, 28807])).
% 5.32/4.82 tff(28809,plain,
% 5.32/4.82 (~m_main_v_request(s161)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21457, 28808, 28806])).
% 5.32/4.82 tff(28810,plain,
% 5.32/4.82 (~node4(s161)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21461, 63, 28809])).
% 5.32/4.82 tff(28811,plain,
% 5.32/4.82 (xuntil2p8(s161) | (~until2p7(s161))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9027, 8293, 28810])).
% 5.32/4.82 tff(28812,plain,
% 5.32/4.82 (~until2p7(s161)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28811, 28805])).
% 5.32/4.82 tff(28813,plain,
% 5.32/4.82 (~xuntil2p8(s160)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9033, 28812])).
% 5.32/4.82 tff(28814,plain,
% 5.32/4.82 (~until2p7(s160)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9073, 28813])).
% 5.32/4.82 tff(28815,plain,
% 5.32/4.82 (~xuntil2p8(s159)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9078, 28814])).
% 5.32/4.82 tff(28816,plain,
% 5.32/4.82 (~m_main_v_state(s160, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9063, 145, 28660])).
% 5.32/4.82 tff(28817,plain,
% 5.32/4.82 (~m_main_v_state(s159, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21547, 145, 28659])).
% 5.32/4.82 tff(28818,plain,
% 5.32/4.82 (~m_main_v_state(s158, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21560, 145, 28658])).
% 5.32/4.82 tff(28819,plain,
% 5.32/4.82 (m_main_v_state(s158, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21583, 28818])).
% 5.32/4.82 tff(28820,plain,
% 5.32/4.82 (m_main_v_state(s159, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21609, 28819, 28817])).
% 5.32/4.82 tff(28821,plain,
% 5.32/4.82 (~m_main_v_request(s159)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21540, 28820, 28816])).
% 5.32/4.82 tff(28822,plain,
% 5.32/4.82 (~node4(s159)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21510, 63, 28821])).
% 5.32/4.82 tff(28823,plain,
% 5.32/4.82 (xuntil2p8(s159) | (~until2p7(s159))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9085, 8293, 28822])).
% 5.32/4.82 tff(28824,plain,
% 5.32/4.82 (~until2p7(s159)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28823, 28815])).
% 5.32/4.82 tff(28825,plain,
% 5.32/4.82 (~xuntil2p8(s158)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9091, 28824])).
% 5.32/4.82 tff(28826,plain,
% 5.32/4.82 (~node4(s158)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21625, 28817])).
% 5.32/4.82 tff(28827,plain,
% 5.32/4.82 (xuntil2p8(s158) | (~until2p7(s158))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9097, 8293, 28826])).
% 5.32/4.82 tff(28828,plain,
% 5.32/4.82 (~until2p7(s158)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28827, 28825])).
% 5.32/4.82 tff(28829,plain,
% 5.32/4.82 (~xuntil2p8(s157)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9103, 28828])).
% 5.32/4.82 tff(28830,plain,
% 5.32/4.82 (~m_main_v_state(s157, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21636, 145, 28657])).
% 5.32/4.82 tff(28831,plain,
% 5.32/4.82 (m_main_v_state(s157, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21640, 188, 28830])).
% 5.32/4.82 tff(28832,plain,
% 5.32/4.82 (~m_main_v_request(s157)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21649, 28831, 28818])).
% 5.32/4.82 tff(28833,plain,
% 5.32/4.82 (~node4(s157)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21653, 63, 28832])).
% 5.32/4.82 tff(28834,plain,
% 5.32/4.82 (xuntil2p8(s157) | (~until2p7(s157))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9109, 8293, 28833])).
% 5.32/4.82 tff(28835,plain,
% 5.32/4.82 (~until2p7(s157)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28834, 28829])).
% 5.32/4.82 tff(28836,plain,
% 5.32/4.82 (~xuntil2p8(s156)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9115, 28835])).
% 5.32/4.82 tff(28837,plain,
% 5.32/4.82 (~m_main_v_state(s156, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21663, 145, 28656])).
% 5.32/4.82 tff(28838,plain,
% 5.32/4.82 (m_main_v_state(s156, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21667, 188, 28837])).
% 5.32/4.82 tff(28839,plain,
% 5.32/4.82 (~m_main_v_request(s156)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21751, 28838, 28830])).
% 5.32/4.82 tff(28840,plain,
% 5.32/4.82 (~node4(s156)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21742, 63, 28839])).
% 5.32/4.82 tff(28841,plain,
% 5.32/4.82 (xuntil2p8(s156) | (~until2p7(s156))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9121, 8293, 28840])).
% 5.32/4.82 tff(28842,plain,
% 5.32/4.82 (~until2p7(s156)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28841, 28836])).
% 5.32/4.82 tff(28843,plain,
% 5.32/4.82 (~xuntil2p8(s155)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9127, 28842])).
% 5.32/4.82 tff(28844,plain,
% 5.32/4.82 (~m_main_v_state(s155, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21693, 145, 28655])).
% 5.32/4.82 tff(28845,plain,
% 5.32/4.82 (m_main_v_state(s155, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21698, 188, 28844])).
% 5.32/4.82 tff(28846,plain,
% 5.32/4.82 (~m_main_v_request(s155)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21707, 28845, 28837])).
% 5.32/4.82 tff(28847,plain,
% 5.32/4.82 (~node4(s155)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21711, 63, 28846])).
% 5.32/4.82 tff(28848,plain,
% 5.32/4.82 (xuntil2p8(s155) | (~until2p7(s155))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9133, 8293, 28847])).
% 5.32/4.82 tff(28849,plain,
% 5.32/4.82 (~until2p7(s155)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28848, 28843])).
% 5.32/4.82 tff(28850,plain,
% 5.32/4.82 (~xuntil2p8(s154)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9139, 28849])).
% 5.32/4.82 tff(28851,plain,
% 5.32/4.82 (~m_main_v_state(s154, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9165, 145, 28654])).
% 5.32/4.82 tff(28852,plain,
% 5.32/4.82 (m_main_v_state(s154, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21733, 188, 28851])).
% 5.32/4.82 tff(28853,plain,
% 5.32/4.82 (~m_main_v_request(s154)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21727, 28852, 28844])).
% 5.32/4.82 tff(28854,plain,
% 5.32/4.82 (~node4(s154)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21718, 63, 28853])).
% 5.32/4.82 tff(28855,plain,
% 5.32/4.82 (xuntil2p8(s154) | (~until2p7(s154))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9145, 8293, 28854])).
% 5.32/4.82 tff(28856,plain,
% 5.32/4.82 (~until2p7(s154)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28855, 28850])).
% 5.32/4.82 tff(28857,plain,
% 5.32/4.82 (~xuntil2p8(s153)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9151, 28856])).
% 5.32/4.82 tff(28858,plain,
% 5.32/4.82 (~until2p7(s153)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9191, 28857])).
% 5.32/4.82 tff(28859,plain,
% 5.32/4.82 (~xuntil2p8(s152)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9196, 28858])).
% 5.32/4.82 tff(28860,plain,
% 5.32/4.82 (~until2p7(s152)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9230, 28859])).
% 5.32/4.82 tff(28861,plain,
% 5.32/4.82 (~xuntil2p8(s151)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9235, 28860])).
% 5.32/4.82 tff(28862,plain,
% 5.32/4.82 (~m_main_v_state(s152, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9220, 145, 28652])).
% 5.32/4.82 tff(28863,plain,
% 5.32/4.82 (~m_main_v_state(s151, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21839, 145, 28651])).
% 5.32/4.82 tff(28864,plain,
% 5.32/4.82 (m_main_v_state(s151, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[24065, 28863])).
% 5.32/4.82 tff(28865,plain,
% 5.32/4.82 (~m_main_v_request(s151)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21852, 28864, 28862])).
% 5.32/4.82 tff(28866,plain,
% 5.32/4.82 (~node4(s151)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21856, 63, 28865])).
% 5.32/4.82 tff(28867,plain,
% 5.32/4.82 (xuntil2p8(s151) | (~until2p7(s151))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9243, 8293, 28866])).
% 5.32/4.82 tff(28868,plain,
% 5.32/4.82 (~until2p7(s151)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28867, 28861])).
% 5.32/4.82 tff(28869,plain,
% 5.32/4.82 (~xuntil2p8(s150)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9249, 28868])).
% 5.32/4.82 tff(28870,plain,
% 5.32/4.82 (~m_main_v_state(s150, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21867, 145, 28650])).
% 5.32/4.82 tff(28871,plain,
% 5.32/4.82 (m_main_v_state(s150, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21891, 188, 28870])).
% 5.32/4.82 tff(28872,plain,
% 5.32/4.82 (~m_main_v_request(s150)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21886, 28871, 28863])).
% 5.32/4.82 tff(28873,plain,
% 5.32/4.82 (~node4(s150)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21877, 63, 28872])).
% 5.32/4.82 tff(28874,plain,
% 5.32/4.82 (xuntil2p8(s150) | (~until2p7(s150))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9255, 8293, 28873])).
% 5.32/4.82 tff(28875,plain,
% 5.32/4.82 (~until2p7(s150)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28874, 28869])).
% 5.32/4.82 tff(28876,plain,
% 5.32/4.82 (~xuntil2p8(s149)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9261, 28875])).
% 5.32/4.82 tff(28877,plain,
% 5.32/4.82 (~m_main_v_state(s149, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9287, 145, 28649])).
% 5.32/4.82 tff(28878,plain,
% 5.32/4.82 (m_main_v_state(s149, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[24102, 28877])).
% 5.32/4.82 tff(28879,plain,
% 5.32/4.82 (~m_main_v_request(s149)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21912, 28878, 28870])).
% 5.32/4.82 tff(28880,plain,
% 5.32/4.82 (~node4(s149)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21903, 63, 28879])).
% 5.32/4.82 tff(28881,plain,
% 5.32/4.82 (xuntil2p8(s149) | (~until2p7(s149))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9267, 8293, 28880])).
% 5.32/4.82 tff(28882,plain,
% 5.32/4.82 (~until2p7(s149)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28881, 28876])).
% 5.32/4.82 tff(28883,plain,
% 5.32/4.82 (~xuntil2p8(s148)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9273, 28882])).
% 5.32/4.82 tff(28884,plain,
% 5.32/4.82 (~until2p7(s148)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9313, 28883])).
% 5.32/4.82 tff(28885,plain,
% 5.32/4.82 (~xuntil2p8(s147)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9318, 28884])).
% 5.32/4.82 tff(28886,plain,
% 5.32/4.82 (~until2p7(s147)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[23778, 28885])).
% 5.32/4.82 tff(28887,plain,
% 5.32/4.82 (~xuntil2p8(s146)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9331, 28886])).
% 5.32/4.82 tff(28888,plain,
% 5.32/4.82 (~until2p7(s146)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9336, 28887])).
% 5.32/4.82 tff(28889,plain,
% 5.32/4.82 (~xuntil2p8(s145)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9341, 28888])).
% 5.32/4.82 tff(28890,plain,
% 5.32/4.82 (~until2p7(s145)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[23773, 28889])).
% 5.32/4.82 tff(28891,plain,
% 5.32/4.82 (~xuntil2p8(s144)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9354, 28890])).
% 5.32/4.82 tff(28892,plain,
% 5.32/4.82 (~m_main_v_state(s145, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20984, 145, 28645])).
% 5.32/4.82 tff(28893,plain,
% 5.32/4.82 (~m_main_v_state(s144, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20976, 145, 28644])).
% 5.32/4.82 tff(28894,plain,
% 5.32/4.82 (m_main_v_state(s144, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[23737, 28893])).
% 5.32/4.82 tff(28895,plain,
% 5.32/4.82 (~m_main_v_request(s144)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20997, 28894, 28892])).
% 5.32/4.82 tff(28896,plain,
% 5.32/4.82 (~node4(s144)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21001, 63, 28895])).
% 5.32/4.82 tff(28897,plain,
% 5.32/4.82 (xuntil2p8(s144) | (~until2p7(s144))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9360, 8293, 28896])).
% 5.32/4.82 tff(28898,plain,
% 5.32/4.82 (~until2p7(s144)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28897, 28891])).
% 5.32/4.82 tff(28899,plain,
% 5.32/4.82 (~xuntil2p8(s143)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9366, 28898])).
% 5.32/4.82 tff(28900,plain,
% 5.32/4.82 (~m_main_v_state(s143, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20908, 145, 28643])).
% 5.32/4.82 tff(28901,plain,
% 5.32/4.82 (~node1(s142)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[23717, 28900])).
% 5.32/4.82 tff(28902,plain,
% 5.32/4.82 (m_main_v_state(s143, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[23725, 28900, 28901])).
% 5.32/4.82 tff(28903,plain,
% 5.32/4.82 (~m_main_v_request(s143)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21017, 28902, 28893])).
% 5.32/4.82 tff(28904,plain,
% 5.32/4.82 (~node4(s143)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[21008, 63, 28903])).
% 5.32/4.82 tff(28905,plain,
% 5.32/4.82 (xuntil2p8(s143) | (~until2p7(s143))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9372, 8293, 28904])).
% 5.32/4.82 tff(28906,plain,
% 5.32/4.82 (~until2p7(s143)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28905, 28899])).
% 5.32/4.82 tff(28907,plain,
% 5.32/4.82 (~xuntil2p8(s142)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9378, 28906])).
% 5.32/4.82 tff(28908,plain,
% 5.32/4.82 (~m_main_v_state(s142, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20931, 145, 28642])).
% 5.32/4.82 tff(28909,plain,
% 5.32/4.82 (m_main_v_state(s142, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20935, 188, 28908])).
% 5.32/4.82 tff(28910,plain,
% 5.32/4.82 (~m_main_v_request(s142)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20924, 28909, 28900])).
% 5.32/4.82 tff(28911,plain,
% 5.32/4.82 (~node4(s142)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20915, 63, 28910])).
% 5.32/4.82 tff(28912,plain,
% 5.32/4.82 (xuntil2p8(s142) | (~until2p7(s142))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9384, 8293, 28911])).
% 5.32/4.82 tff(28913,plain,
% 5.32/4.82 (~until2p7(s142)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28912, 28907])).
% 5.32/4.82 tff(28914,plain,
% 5.32/4.82 (~xuntil2p8(s141)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9390, 28913])).
% 5.32/4.82 tff(28915,plain,
% 5.32/4.82 (~node4(s141)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20964, 28908])).
% 5.32/4.82 tff(28916,plain,
% 5.32/4.82 (xuntil2p8(s141) | (~until2p7(s141))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9396, 8293, 28915])).
% 5.32/4.82 tff(28917,plain,
% 5.32/4.82 (~until2p7(s141)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28916, 28914])).
% 5.32/4.82 tff(28918,plain,
% 5.32/4.82 (~xuntil2p8(s140)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9402, 28917])).
% 5.32/4.82 tff(28919,plain,
% 5.32/4.82 (~trans(s199, s140)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28064, 28918, 11264])).
% 5.32/4.82 tff(28920,plain,
% 5.32/4.82 (~trans(s199, s126)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[25012, 25003])).
% 5.32/4.82 tff(28921,plain,
% 5.32/4.82 (~trans(s199, s148)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[11460, 28884, 11264])).
% 5.32/4.82 tff(28922,plain,
% 5.32/4.82 (~trans(s199, s146)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[11482, 28888, 11264])).
% 5.32/4.82 tff(28923,plain,
% 5.32/4.82 (~trans(s199, s134)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28123, 28918, 11264])).
% 5.32/4.82 tff(28924,plain,
% 5.32/4.82 (~always3(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5436, 24932])).
% 5.32/4.82 tff(28925,plain,
% 5.32/4.82 (~always3(s126)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5448, 28924])).
% 5.32/4.82 tff(28926,plain,
% 5.32/4.82 (~always3(s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5460, 28925])).
% 5.32/4.82 tff(28927,plain,
% 5.32/4.82 (~always3(s124)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5472, 28926])).
% 5.32/4.82 tff(28928,plain,
% 5.32/4.82 (~always3(s123)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5484, 28927])).
% 5.32/4.82 tff(28929,plain,
% 5.32/4.82 (~trans(s199, s123)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[24908, 28928])).
% 5.32/4.82 tff(28930,plain,
% 5.32/4.82 (~trans(s199, s126)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[25012, 28925])).
% 5.32/4.82 tff(28931,plain,
% 5.32/4.82 (~trans(s199, s162)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[11515, 28804, 11264])).
% 5.32/4.82 tff(28932,plain,
% 5.32/4.82 (~always3(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5383, 24921])).
% 5.32/4.82 tff(28933,plain,
% 5.32/4.82 (~always3(s128)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5412, 28932])).
% 5.32/4.82 tff(28934,plain,
% 5.32/4.82 (~always3(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5436, 28933])).
% 5.32/4.82 tff(28935,plain,
% 5.32/4.82 (~always3(s126)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5448, 28934])).
% 5.32/4.82 tff(28936,plain,
% 5.32/4.82 (~always3(s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5460, 28935])).
% 5.32/4.82 tff(28937,plain,
% 5.32/4.82 (~always3(s124)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5472, 28936])).
% 5.32/4.82 tff(28938,plain,
% 5.32/4.82 (~always3(s123)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5484, 28937])).
% 5.32/4.82 tff(28939,plain,
% 5.32/4.82 (~trans(s199, s123)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[24908, 28938])).
% 5.32/4.82 tff(28940,plain,
% 5.32/4.82 (~always3(s122)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5496, 28938])).
% 5.32/4.82 tff(28941,plain,
% 5.32/4.82 (~trans(s199, s122)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[24961, 28940])).
% 5.32/4.82 tff(28942,plain,
% 5.32/4.82 (~trans(s199, s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[24930, 24921])).
% 5.32/4.82 tff(28943,plain,
% 5.32/4.82 (~trans(s199, s149)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[12296, 28882, 11264])).
% 5.32/4.82 tff(28944,plain,
% 5.32/4.82 (~trans(s199, s157)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[11867, 28835, 11264])).
% 5.32/4.82 tff(28945,plain,
% 5.32/4.82 (~trans(s199, s169)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[12846, 28774, 11264])).
% 5.32/4.82 tff(28946,plain,
% 5.32/4.82 (~trans(s199, s128)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[24941, 28933])).
% 5.32/4.82 tff(28947,plain,
% 5.32/4.82 (~trans(s199, s159)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[11669, 28824, 11264])).
% 5.32/4.82 tff(28948,plain,
% 5.32/4.82 (~trans(s199, s174)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[11724, 28739, 11264])).
% 5.32/4.82 tff(28949,plain,
% 5.32/4.82 (~trans(s199, s142)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[11735, 28913, 11264])).
% 5.32/4.82 tff(28950,plain,
% 5.32/4.82 (~trans(s199, s181)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[11768, 28704, 11264])).
% 5.32/4.82 tff(28951,plain,
% 5.32/4.82 (~trans(s199, s154)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[13319, 28856, 11264])).
% 5.32/4.82 tff(28952,plain,
% 5.32/4.82 (~trans(s199, s177)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[11790, 28717, 11264])).
% 5.32/4.82 tff(28953,plain,
% 5.32/4.82 (~trans(s199, s179)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[11801, 28713, 11264])).
% 5.32/4.82 tff(28954,plain,
% 5.32/4.82 (~trans(s199, s180)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[11812, 28706, 11264])).
% 5.32/4.82 tff(28955,plain,
% 5.32/4.82 (~trans(s199, s155)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[27463, 28843, 28837, 11264])).
% 5.32/4.82 tff(28956,plain,
% 5.32/4.82 (~trans(s199, s156)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[11779, 28842, 11264])).
% 5.32/4.82 tff(28957,plain,
% 5.32/4.82 (~trans(s199, s150)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[27430, 28836, 28830, 11264])).
% 5.32/4.82 tff(28958,plain,
% 5.32/4.82 (~trans(s199, s153)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[27336, 28829, 11264])).
% 5.32/4.82 tff(28959,plain,
% 5.32/4.82 (~trans(s199, s164)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[26473, 28726, 28720, 11264])).
% 5.32/4.82 tff(28960,plain,
% 5.32/4.82 (~m_main_v_state(s140, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20534, 145, 28640])).
% 5.32/4.82 tff(28961,plain,
% 5.32/4.82 (m_main_v_state(s140, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[23681, 28960])).
% 5.32/4.82 tff(28962,plain,
% 5.32/4.82 (~m_main_v_state(s141, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20511, 145, 28641])).
% 5.32/4.82 tff(28963,plain,
% 5.32/4.82 (~m_main_v_request(s140)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20527, 28962, 28961])).
% 5.32/4.82 tff(28964,plain,
% 5.32/4.82 (~node4(s140)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20518, 63, 28963])).
% 5.32/4.82 tff(28965,plain,
% 5.32/4.82 (xuntil2p8(s140) | (~until2p7(s140))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9408, 8293, 28964])).
% 5.32/4.82 tff(28966,plain,
% 5.32/4.82 (~until2p7(s140)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28965, 28918])).
% 5.32/4.82 tff(28967,plain,
% 5.32/4.82 (~xuntil2p8(s139)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9414, 28966])).
% 5.32/4.82 tff(28968,plain,
% 5.32/4.82 (~m_main_v_state(s139, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20560, 145, 28639])).
% 5.32/4.82 tff(28969,plain,
% 5.32/4.82 (m_main_v_state(s139, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20565, 188, 28968])).
% 5.32/4.82 tff(28970,plain,
% 5.32/4.82 (~m_main_v_request(s139)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20574, 28969, 28960])).
% 5.32/4.82 tff(28971,plain,
% 5.32/4.82 (~node4(s139)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20578, 63, 28970])).
% 5.32/4.82 tff(28972,plain,
% 5.32/4.82 (xuntil2p8(s139) | (~until2p7(s139))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9420, 8293, 28971])).
% 5.32/4.82 tff(28973,plain,
% 5.32/4.82 (~until2p7(s139)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28972, 28967])).
% 5.32/4.82 tff(28974,plain,
% 5.32/4.82 (~xuntil2p8(s138)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9426, 28973])).
% 5.32/4.82 tff(28975,plain,
% 5.32/4.82 (~m_main_v_state(s138, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20127, 145, 28638])).
% 5.32/4.82 tff(28976,plain,
% 5.32/4.82 (m_main_v_state(s138, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20600, 188, 28975])).
% 5.32/4.82 tff(28977,plain,
% 5.32/4.82 (~m_main_v_request(s138)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20594, 28976, 28968])).
% 5.32/4.82 tff(28978,plain,
% 5.32/4.82 (~node4(s138)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20585, 63, 28977])).
% 5.32/4.82 tff(28979,plain,
% 5.32/4.82 (xuntil2p8(s138) | (~until2p7(s138))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9432, 8293, 28978])).
% 5.32/4.82 tff(28980,plain,
% 5.32/4.82 (~until2p7(s138)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28979, 28974])).
% 5.32/4.82 tff(28981,plain,
% 5.32/4.82 (~xuntil2p8(s137)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9438, 28980])).
% 5.32/4.82 tff(28982,plain,
% 5.32/4.82 (~m_main_v_state(s137, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20134, 145, 28637])).
% 5.32/4.82 tff(28983,plain,
% 5.32/4.82 (m_main_v_state(s137, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20138, 188, 28982])).
% 5.32/4.82 tff(28984,plain,
% 5.32/4.82 (~m_main_v_request(s137)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20215, 28983, 28975])).
% 5.32/4.82 tff(28985,plain,
% 5.32/4.82 (~node4(s137)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20206, 63, 28984])).
% 5.32/4.82 tff(28986,plain,
% 5.32/4.82 (xuntil2p8(s137) | (~until2p7(s137))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9444, 8293, 28985])).
% 5.32/4.82 tff(28987,plain,
% 5.32/4.82 (~until2p7(s137)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28986, 28981])).
% 5.32/4.82 tff(28988,plain,
% 5.32/4.82 (~xuntil2p8(s136)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9450, 28987])).
% 5.32/4.82 tff(28989,plain,
% 5.32/4.82 (~m_main_v_state(s136, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20158, 145, 28636])).
% 5.32/4.82 tff(28990,plain,
% 5.32/4.82 (m_main_v_state(s136, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20163, 188, 28989])).
% 5.32/4.82 tff(28991,plain,
% 5.32/4.82 (~m_main_v_request(s136)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20172, 28990, 28982])).
% 5.32/4.82 tff(28992,plain,
% 5.32/4.82 (~node4(s136)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20176, 63, 28991])).
% 5.32/4.82 tff(28993,plain,
% 5.32/4.82 (xuntil2p8(s136) | (~until2p7(s136))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9456, 8293, 28992])).
% 5.32/4.82 tff(28994,plain,
% 5.32/4.82 (~until2p7(s136)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28993, 28988])).
% 5.32/4.82 tff(28995,plain,
% 5.32/4.82 (~xuntil2p8(s135)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9462, 28994])).
% 5.32/4.82 tff(28996,plain,
% 5.32/4.82 (~m_main_v_state(s135, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19541, 145, 28635])).
% 5.32/4.82 tff(28997,plain,
% 5.32/4.82 (m_main_v_state(s135, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20198, 188, 28996])).
% 5.32/4.82 tff(28998,plain,
% 5.32/4.82 (~m_main_v_request(s135)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20192, 28997, 28989])).
% 5.32/4.82 tff(28999,plain,
% 5.32/4.82 (~node4(s135)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[20183, 63, 28998])).
% 5.32/4.82 tff(29000,plain,
% 5.32/4.82 (xuntil2p8(s135) | (~until2p7(s135))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9468, 8293, 28999])).
% 5.32/4.82 tff(29001,plain,
% 5.32/4.82 (~until2p7(s135)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29000, 28995])).
% 5.32/4.82 tff(29002,plain,
% 5.32/4.82 (~xuntil2p8(s134)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9474, 29001])).
% 5.32/4.82 tff(29003,plain,
% 5.32/4.82 (~m_main_v_state(s134, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19548, 145, 28634])).
% 5.32/4.82 tff(29004,plain,
% 5.32/4.82 (m_main_v_state(s134, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19552, 188, 29003])).
% 5.32/4.82 tff(29005,plain,
% 5.32/4.82 (~m_main_v_request(s134)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19561, 29004, 28996])).
% 5.32/4.82 tff(29006,plain,
% 5.32/4.82 (~node4(s134)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19565, 63, 29005])).
% 5.32/4.82 tff(29007,plain,
% 5.32/4.82 (xuntil2p8(s134) | (~until2p7(s134))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9480, 8293, 29006])).
% 5.32/4.82 tff(29008,plain,
% 5.32/4.82 (~until2p7(s134)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29007, 29002])).
% 5.32/4.82 tff(29009,plain,
% 5.32/4.82 (~xuntil2p8(s133)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9486, 29008])).
% 5.32/4.82 tff(29010,plain,
% 5.32/4.82 (~m_main_v_state(s133, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18860, 145, 28633])).
% 5.32/4.82 tff(29011,plain,
% 5.32/4.82 (m_main_v_state(s133, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19822, 188, 29010])).
% 5.32/4.82 tff(29012,plain,
% 5.32/4.82 (~m_main_v_request(s133)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19831, 29011, 29003])).
% 5.32/4.82 tff(29013,plain,
% 5.32/4.82 (~node4(s133)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19835, 63, 29012])).
% 5.32/4.82 tff(29014,plain,
% 5.32/4.82 (xuntil2p8(s133) | (~until2p7(s133))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9492, 8293, 29013])).
% 5.32/4.82 tff(29015,plain,
% 5.32/4.82 (~until2p7(s133)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29014, 29009])).
% 5.32/4.82 tff(29016,plain,
% 5.32/4.82 (~xuntil2p8(s132)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9498, 29015])).
% 5.32/4.82 tff(29017,plain,
% 5.32/4.82 (~m_main_v_state(s132, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18867, 145, 28632])).
% 5.32/4.82 tff(29018,plain,
% 5.32/4.82 (~node1(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[23608, 29017])).
% 5.32/4.82 tff(29019,plain,
% 5.32/4.82 (m_main_v_state(s132, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[23616, 29018, 29017])).
% 5.32/4.82 tff(29020,plain,
% 5.32/4.82 (~m_main_v_request(s132)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19276, 29019, 29010])).
% 5.32/4.82 tff(29021,plain,
% 5.32/4.82 (~node4(s132)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19267, 63, 29020])).
% 5.32/4.82 tff(29022,plain,
% 5.32/4.82 (xuntil2p8(s132) | (~until2p7(s132))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9504, 8293, 29021])).
% 5.32/4.82 tff(29023,plain,
% 5.32/4.82 (~until2p7(s132)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29022, 29016])).
% 5.32/4.82 tff(29024,plain,
% 5.32/4.82 (~trans(s199, s132)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[12175, 29023, 11264])).
% 5.32/4.82 tff(29025,plain,
% 5.32/4.82 (~trans(s199, s170)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[12494, 28767, 11264])).
% 5.32/4.82 tff(29026,plain,
% 5.32/4.82 (~trans(s199, s158)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[12208, 28828, 11264])).
% 5.32/4.82 tff(29027,plain,
% 5.32/4.82 (~trans(s199, s161)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[27005, 28805, 11264])).
% 5.32/4.82 tff(29028,plain,
% 5.32/4.82 (~trans(s199, s126)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[25012, 28935])).
% 5.32/4.82 tff(29029,plain,
% 5.32/4.82 (~trans(s199, s171)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[26780, 28754, 28748, 11264])).
% 5.32/4.82 tff(29030,plain,
% 5.32/4.82 (~trans(s199, s135)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28192, 28918, 11264])).
% 5.32/4.82 tff(29031,plain,
% 5.32/4.82 (~trans(s199, s137)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28225, 28918, 11264])).
% 5.32/4.82 tff(29032,plain,
% 5.32/4.82 (~trans(s199, s172)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[12725, 28753, 11264])).
% 5.32/4.82 tff(29033,plain,
% 5.32/4.82 (~xuntil2p8(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9510, 29023])).
% 5.32/4.82 tff(29034,plain,
% 5.32/4.82 (until2p7(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[12571, 12563, 11264])).
% 5.32/4.82 tff(29035,assumption,(~xuntil2p8(s131)), introduced(assumption)).
% 5.32/4.82 tff(29036,plain,
% 5.32/4.82 (node4(s131) | (~until2p7(s131))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9516, 8293, 29035])).
% 5.32/4.82 tff(29037,plain,
% 5.32/4.82 (node4(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29036, 29034])).
% 5.32/4.82 tff(29038,plain,
% 5.32/4.82 (m_main_v_request(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18972, 63, 29037])).
% 5.32/4.82 tff(29039,plain,
% 5.32/4.82 (~m_main_v_state(s131, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18968, 29038, 18956])).
% 5.32/4.82 tff(29040,plain,
% 5.32/4.82 (always3(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[24981, 12563])).
% 5.32/4.82 tff(29041,plain,
% 5.32/4.82 (~m_main_v_state(s131, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18925, 145, 29040])).
% 5.32/4.82 tff(29042,plain,
% 5.32/4.82 ($false),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18959, 188, 29041, 29039])).
% 5.32/4.82 tff(29043,plain,((~trans(s199, s131)) | m_main_v_state(s132, c_busy) | xuntil2p8(s131) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.32/4.82 tff(29044,plain,
% 5.32/4.82 (~trans(s199, s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29043, 29017, 29033, 11264])).
% 5.32/4.82 tff(29045,plain,
% 5.32/4.82 (always3(s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[24991, 12629])).
% 5.32/4.82 tff(29046,plain,
% 5.32/4.82 (always3(s126)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5460, 29045])).
% 5.32/4.82 tff(29047,plain,
% 5.32/4.82 (always3(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5448, 29046])).
% 5.32/4.82 tff(29048,plain,
% 5.32/4.82 (~m_main_v_state(s127, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19103, 145, 29047])).
% 5.32/4.82 tff(29049,plain,
% 5.32/4.82 (~node4(s126)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19132, 29048])).
% 5.32/4.82 tff(29050,plain,
% 5.32/4.82 (~m_main_v_state(s126, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19126, 145, 29046])).
% 5.32/4.82 tff(29051,plain,
% 5.32/4.82 (~m_main_v_state(s125, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19181, 145, 29045])).
% 5.32/4.82 tff(29052,plain,
% 5.32/4.82 (m_main_v_state(s125, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19185, 188, 29051])).
% 5.32/4.82 tff(29053,plain,
% 5.32/4.82 (~m_main_v_request(s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19194, 29052, 29050])).
% 5.32/4.82 tff(29054,plain,
% 5.32/4.82 (~node4(s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19198, 63, 29053])).
% 5.32/4.82 tff(29055,plain,
% 5.32/4.82 (until2p7(s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[12637, 12629, 11264])).
% 5.32/4.82 tff(29056,plain,
% 5.32/4.82 (node4(s125) | xuntil2p8(s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9588, 8293, 29055])).
% 5.32/4.82 tff(29057,plain,
% 5.32/4.82 (xuntil2p8(s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29056, 29054])).
% 5.32/4.82 tff(29058,plain,
% 5.32/4.82 (until2p7(s126)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9582, 29057])).
% 5.32/4.82 tff(29059,plain,
% 5.32/4.82 (xuntil2p8(s126)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9576, 8293, 29058, 29049])).
% 5.32/4.82 tff(29060,plain,
% 5.32/4.82 (until2p7(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9570, 29059])).
% 5.32/4.82 tff(29061,plain,
% 5.32/4.82 (always3(s128)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5436, 29047])).
% 5.32/4.82 tff(29062,plain,
% 5.32/4.82 (~m_main_v_state(s128, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19041, 145, 29061])).
% 5.32/4.82 tff(29063,plain,
% 5.32/4.82 (m_main_v_state(s127, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19138, 188, 29048])).
% 5.32/4.82 tff(29064,plain,
% 5.32/4.82 (~m_main_v_request(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19147, 29063, 29062])).
% 5.32/4.82 tff(29065,plain,
% 5.32/4.82 (~node4(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19151, 63, 29064])).
% 5.32/4.82 tff(29066,plain,
% 5.32/4.82 (xuntil2p8(s127) | (~until2p7(s127))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9564, 8293, 29065])).
% 5.32/4.82 tff(29067,plain,
% 5.32/4.82 (xuntil2p8(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29066, 29060])).
% 5.32/4.82 tff(29068,plain,
% 5.32/4.82 (until2p7(s128)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9558, 29067])).
% 5.32/4.82 tff(29069,plain,
% 5.32/4.82 (always3(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5412, 29061])).
% 5.32/4.82 tff(29070,plain,
% 5.32/4.82 (always3(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5383, 29069])).
% 5.32/4.82 tff(29071,plain,
% 5.32/4.82 (always3(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5354, 29070])).
% 5.32/4.82 tff(29072,plain,
% 5.32/4.82 (~m_main_v_state(s131, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18925, 145, 29071])).
% 5.32/4.82 tff(29073,plain,
% 5.32/4.82 (~node4(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18954, 29072])).
% 5.32/4.82 tff(29074,plain,
% 5.32/4.82 (m_main_v_state(s131, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18959, 188, 29072])).
% 5.32/4.82 tff(29075,plain,
% 5.32/4.82 (~m_main_v_request(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18968, 29074, 18956])).
% 5.32/4.82 tff(29076,plain,
% 5.32/4.82 (~node4(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18972, 63, 29075])).
% 5.32/4.82 tff(29077,plain,
% 5.32/4.82 (~until2p7(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29036, 29076])).
% 5.32/4.82 tff(29078,plain,
% 5.32/4.82 (~xuntil2p8(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9522, 29077])).
% 5.32/4.82 tff(29079,plain,
% 5.32/4.82 (~until2p7(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9528, 8293, 29078, 29073])).
% 5.32/4.82 tff(29080,plain,
% 5.32/4.82 (~xuntil2p8(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9534, 29079])).
% 5.32/4.82 tff(29081,plain,
% 5.32/4.82 (~m_main_v_state(s130, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18948, 145, 29070])).
% 5.32/4.82 tff(29082,plain,
% 5.32/4.82 (~m_main_v_state(s129, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19018, 145, 29069])).
% 5.32/4.82 tff(29083,plain,
% 5.32/4.82 (m_main_v_state(s129, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19053, 188, 29082])).
% 5.32/4.82 tff(29084,plain,
% 5.32/4.82 (~m_main_v_request(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19062, 29083, 29081])).
% 5.32/4.82 tff(29085,plain,
% 5.32/4.82 (~node4(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19066, 63, 29084])).
% 5.32/4.82 tff(29086,plain,
% 5.32/4.82 (xuntil2p8(s129) | (~until2p7(s129))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9540, 8293, 29085])).
% 5.32/4.82 tff(29087,plain,
% 5.32/4.82 (~until2p7(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29086, 29080])).
% 5.32/4.82 tff(29088,plain,
% 5.32/4.82 (~xuntil2p8(s128)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9546, 29087])).
% 5.32/4.82 tff(29089,plain,
% 5.32/4.82 (~node4(s128)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19047, 29082])).
% 5.32/4.82 tff(29090,plain,
% 5.32/4.82 (xuntil2p8(s128) | (~until2p7(s128))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9552, 8293, 29089])).
% 5.32/4.82 tff(29091,plain,
% 5.32/4.82 ($false),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29090, 29088, 29068])).
% 5.32/4.82 tff(29092,plain,((~trans(s199, s125)) | xuntil2p8(s131) | m_main_v_state(s132, c_busy) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.32/4.82 tff(29093,plain,
% 5.32/4.82 (~trans(s199, s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29092, 29033, 29017, 11264])).
% 5.32/4.82 tff(29094,plain,
% 5.32/4.82 (~trans(s199, s160)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[27019, 28805, 11264])).
% 5.32/4.82 tff(29095,plain,
% 5.32/4.82 (~trans(s199, s151)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[27093, 28805, 11264])).
% 5.32/4.82 tff(29096,plain,
% 5.32/4.82 (always3(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[25001, 12640])).
% 5.32/4.82 tff(29097,plain,
% 5.32/4.82 (always3(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5383, 29096])).
% 5.32/4.82 tff(29098,plain,
% 5.32/4.82 (always3(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5354, 29097])).
% 5.32/4.82 tff(29099,plain,
% 5.32/4.82 (~m_main_v_state(s131, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18925, 145, 29098])).
% 5.32/4.82 tff(29100,plain,
% 5.32/4.82 (~node4(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18954, 29099])).
% 5.32/4.82 tff(29101,plain,
% 5.32/4.82 (m_main_v_state(s131, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18959, 188, 29099])).
% 5.32/4.82 tff(29102,plain,
% 5.32/4.82 (~m_main_v_request(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18968, 29101, 18956])).
% 5.32/4.82 tff(29103,plain,
% 5.32/4.82 (~node4(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18972, 63, 29102])).
% 5.32/4.82 tff(29104,plain,
% 5.32/4.82 (~until2p7(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29036, 29103])).
% 5.32/4.82 tff(29105,plain,
% 5.32/4.82 (~xuntil2p8(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9522, 29104])).
% 5.32/4.82 tff(29106,plain,
% 5.32/4.82 (~m_main_v_state(s130, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18948, 145, 29097])).
% 5.32/4.82 tff(29107,plain,
% 5.32/4.82 (~m_main_v_state(s129, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19018, 145, 29096])).
% 5.32/4.82 tff(29108,plain,
% 5.32/4.82 (m_main_v_state(s129, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19053, 188, 29107])).
% 5.32/4.82 tff(29109,plain,
% 5.32/4.82 (~m_main_v_request(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19062, 29108, 29106])).
% 5.32/4.82 tff(29110,plain,
% 5.32/4.82 (~node4(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19066, 63, 29109])).
% 5.32/4.82 tff(29111,plain,
% 5.32/4.82 (until2p7(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[12648, 12640, 11264])).
% 5.32/4.82 tff(29112,plain,
% 5.32/4.82 (node4(s129) | xuntil2p8(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9540, 8293, 29111])).
% 5.32/4.82 tff(29113,plain,
% 5.32/4.82 (xuntil2p8(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29112, 29110])).
% 5.32/4.82 tff(29114,plain,
% 5.32/4.82 (until2p7(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9534, 29113])).
% 5.32/4.82 tff(29115,plain,
% 5.32/4.82 ($false),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9528, 8293, 29114, 29105, 29100])).
% 5.32/4.82 tff(29116,plain,((~trans(s199, s129)) | xuntil2p8(s131) | m_main_v_state(s132, c_busy) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.32/4.82 tff(29117,plain,
% 5.32/4.82 (~trans(s199, s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29116, 29033, 29017, 11264])).
% 5.32/4.82 tff(29118,plain,
% 5.32/4.82 (always3(s121)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[25413, 12662])).
% 5.32/4.82 tff(29119,plain,
% 5.32/4.82 (always3(s122)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5508, 29118])).
% 5.32/4.82 tff(29120,plain,
% 5.32/4.82 (always3(s123)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5496, 29119])).
% 5.32/4.82 tff(29121,plain,
% 5.32/4.82 (~m_main_v_state(s123, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18651, 145, 29120])).
% 5.32/4.82 tff(29122,plain,
% 5.32/4.82 (~m_main_v_state(s122, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18658, 145, 29119])).
% 5.32/4.82 tff(29123,plain,
% 5.32/4.82 (m_main_v_state(s122, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18662, 188, 29122])).
% 5.32/4.82 tff(29124,plain,
% 5.32/4.82 (~m_main_v_request(s122)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18739, 29123, 29121])).
% 5.32/4.82 tff(29125,plain,
% 5.32/4.82 (~node4(s122)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18730, 63, 29124])).
% 5.32/4.82 tff(29126,plain,
% 5.32/4.82 (~m_main_v_state(s121, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18682, 145, 29118])).
% 5.32/4.82 tff(29127,plain,
% 5.32/4.82 (m_main_v_state(s121, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18687, 188, 29126])).
% 5.32/4.82 tff(29128,plain,
% 5.32/4.82 (~m_main_v_request(s121)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18696, 29127, 29122])).
% 5.32/4.82 tff(29129,plain,
% 5.32/4.82 (~node4(s121)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18700, 63, 29128])).
% 5.32/4.82 tff(29130,plain,
% 5.32/4.82 (until2p7(s121)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[12670, 12662, 11264])).
% 5.32/4.82 tff(29131,plain,
% 5.32/4.82 (node4(s121) | xuntil2p8(s121)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9636, 8293, 29130])).
% 5.32/4.82 tff(29132,plain,
% 5.32/4.82 (xuntil2p8(s121)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29131, 29129])).
% 5.32/4.82 tff(29133,plain,
% 5.32/4.82 (until2p7(s122)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9630, 29132])).
% 5.32/4.82 tff(29134,plain,
% 5.32/4.82 (xuntil2p8(s122)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9624, 8293, 29133, 29125])).
% 5.32/4.82 tff(29135,plain,
% 5.32/4.82 (until2p7(s123)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9618, 29134])).
% 5.32/4.82 tff(29136,plain,
% 5.32/4.82 (always3(s124)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5484, 29120])).
% 5.32/4.82 tff(29137,plain,
% 5.32/4.82 (~m_main_v_state(s124, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19219, 145, 29136])).
% 5.32/4.82 tff(29138,plain,
% 5.32/4.82 (m_main_v_state(s123, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19259, 188, 29121])).
% 5.32/4.82 tff(29139,plain,
% 5.32/4.82 (~m_main_v_request(s123)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19253, 29138, 29137])).
% 5.32/4.82 tff(29140,plain,
% 5.32/4.82 (~node4(s123)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19244, 63, 29139])).
% 5.32/4.82 tff(29141,plain,
% 5.32/4.82 (xuntil2p8(s123) | (~until2p7(s123))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9612, 8293, 29140])).
% 5.32/4.82 tff(29142,plain,
% 5.32/4.82 (xuntil2p8(s123)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29141, 29135])).
% 5.32/4.82 tff(29143,plain,
% 5.32/4.82 (until2p7(s124)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9606, 29142])).
% 5.32/4.82 tff(29144,plain,
% 5.32/4.82 (always3(s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5472, 29136])).
% 5.32/4.82 tff(29145,plain,
% 5.32/4.82 (~m_main_v_state(s125, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19181, 145, 29144])).
% 5.32/4.82 tff(29146,plain,
% 5.32/4.82 (m_main_v_state(s124, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19223, 188, 29137])).
% 5.32/4.82 tff(29147,plain,
% 5.32/4.82 (~m_main_v_request(s124)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19232, 29146, 29145])).
% 5.32/4.82 tff(29148,plain,
% 5.32/4.82 (~node4(s124)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19236, 63, 29147])).
% 5.32/4.82 tff(29149,plain,
% 5.32/4.82 (xuntil2p8(s124) | (~until2p7(s124))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9600, 8293, 29148])).
% 5.32/4.82 tff(29150,plain,
% 5.32/4.82 (xuntil2p8(s124)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29149, 29143])).
% 5.32/4.82 tff(29151,plain,
% 5.32/4.82 (until2p7(s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9594, 29150])).
% 5.32/4.82 tff(29152,plain,
% 5.32/4.82 (always3(s126)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5460, 29144])).
% 5.32/4.82 tff(29153,plain,
% 5.32/4.82 (~m_main_v_state(s126, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19126, 145, 29152])).
% 5.32/4.82 tff(29154,plain,
% 5.32/4.82 (m_main_v_state(s125, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19185, 188, 29145])).
% 5.32/4.82 tff(29155,plain,
% 5.32/4.82 (~m_main_v_request(s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19194, 29154, 29153])).
% 5.32/4.82 tff(29156,plain,
% 5.32/4.82 (~node4(s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19198, 63, 29155])).
% 5.32/4.82 tff(29157,plain,
% 5.32/4.82 (xuntil2p8(s125) | (~until2p7(s125))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9588, 8293, 29156])).
% 5.32/4.82 tff(29158,plain,
% 5.32/4.82 (xuntil2p8(s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29157, 29151])).
% 5.32/4.82 tff(29159,plain,
% 5.32/4.82 (until2p7(s126)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9582, 29158])).
% 5.32/4.82 tff(29160,plain,
% 5.32/4.82 (always3(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5448, 29152])).
% 5.32/4.82 tff(29161,plain,
% 5.32/4.82 (always3(s128)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5436, 29160])).
% 5.32/4.82 tff(29162,plain,
% 5.32/4.82 (always3(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5412, 29161])).
% 5.32/4.82 tff(29163,plain,
% 5.32/4.82 (always3(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5383, 29162])).
% 5.32/4.82 tff(29164,plain,
% 5.32/4.82 (always3(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5354, 29163])).
% 5.32/4.82 tff(29165,plain,
% 5.32/4.82 (~m_main_v_state(s131, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18925, 145, 29164])).
% 5.32/4.82 tff(29166,plain,
% 5.32/4.82 (~node4(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18954, 29165])).
% 5.32/4.82 tff(29167,plain,
% 5.32/4.82 (m_main_v_state(s131, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18959, 188, 29165])).
% 5.32/4.82 tff(29168,plain,
% 5.32/4.82 (~m_main_v_request(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18968, 29167, 18956])).
% 5.32/4.82 tff(29169,plain,
% 5.32/4.82 (~node4(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18972, 63, 29168])).
% 5.32/4.82 tff(29170,plain,
% 5.32/4.82 (~until2p7(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29036, 29169])).
% 5.32/4.82 tff(29171,plain,
% 5.32/4.82 (~xuntil2p8(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9522, 29170])).
% 5.32/4.82 tff(29172,plain,
% 5.32/4.82 (~until2p7(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9528, 8293, 29171, 29166])).
% 5.32/4.82 tff(29173,plain,
% 5.32/4.82 (~xuntil2p8(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9534, 29172])).
% 5.32/4.82 tff(29174,plain,
% 5.32/4.82 (~m_main_v_state(s130, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18948, 145, 29163])).
% 5.32/4.82 tff(29175,plain,
% 5.32/4.82 (~m_main_v_state(s129, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19018, 145, 29162])).
% 5.32/4.82 tff(29176,plain,
% 5.32/4.82 (m_main_v_state(s129, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19053, 188, 29175])).
% 5.32/4.82 tff(29177,plain,
% 5.32/4.82 (~m_main_v_request(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19062, 29176, 29174])).
% 5.32/4.82 tff(29178,plain,
% 5.32/4.82 (~node4(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19066, 63, 29177])).
% 5.32/4.82 tff(29179,plain,
% 5.32/4.82 (xuntil2p8(s129) | (~until2p7(s129))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9540, 8293, 29178])).
% 5.32/4.82 tff(29180,plain,
% 5.32/4.82 (~until2p7(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29179, 29173])).
% 5.32/4.82 tff(29181,plain,
% 5.32/4.82 (~xuntil2p8(s128)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9546, 29180])).
% 5.32/4.82 tff(29182,plain,
% 5.32/4.82 (~node4(s128)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19047, 29175])).
% 5.32/4.82 tff(29183,plain,
% 5.32/4.82 (xuntil2p8(s128) | (~until2p7(s128))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9552, 8293, 29182])).
% 5.32/4.82 tff(29184,plain,
% 5.32/4.82 (~until2p7(s128)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29183, 29181])).
% 5.32/4.82 tff(29185,plain,
% 5.32/4.82 (~xuntil2p8(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9558, 29184])).
% 5.32/4.82 tff(29186,plain,
% 5.32/4.82 (~m_main_v_state(s128, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19041, 145, 29161])).
% 5.32/4.82 tff(29187,plain,
% 5.32/4.82 (~m_main_v_state(s127, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19103, 145, 29160])).
% 5.32/4.82 tff(29188,plain,
% 5.32/4.82 (m_main_v_state(s127, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19138, 188, 29187])).
% 5.32/4.82 tff(29189,plain,
% 5.32/4.82 (~m_main_v_request(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19147, 29188, 29186])).
% 5.32/4.82 tff(29190,plain,
% 5.32/4.82 (~node4(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19151, 63, 29189])).
% 5.32/4.82 tff(29191,plain,
% 5.32/4.82 (xuntil2p8(s127) | (~until2p7(s127))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9564, 8293, 29190])).
% 5.32/4.82 tff(29192,plain,
% 5.32/4.82 (~until2p7(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29191, 29185])).
% 5.32/4.82 tff(29193,plain,
% 5.32/4.82 (~xuntil2p8(s126)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9570, 29192])).
% 5.32/4.82 tff(29194,plain,
% 5.32/4.82 (~node4(s126)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19132, 29187])).
% 5.32/4.82 tff(29195,plain,
% 5.32/4.82 (xuntil2p8(s126) | (~until2p7(s126))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9576, 8293, 29194])).
% 5.32/4.82 tff(29196,plain,
% 5.32/4.82 ($false),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29195, 29193, 29159])).
% 5.32/4.82 tff(29197,plain,((~trans(s199, s121)) | xuntil2p8(s131) | m_main_v_state(s132, c_busy) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.32/4.82 tff(29198,plain,
% 5.32/4.82 (~trans(s199, s121)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29197, 29033, 29017, 11264])).
% 5.32/4.82 tff(29199,plain,
% 5.32/4.82 (always3(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[25022, 12761])).
% 5.32/4.82 tff(29200,plain,
% 5.32/4.82 (always3(s128)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5436, 29199])).
% 5.32/4.82 tff(29201,plain,
% 5.32/4.82 (always3(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5412, 29200])).
% 5.32/4.82 tff(29202,plain,
% 5.32/4.82 (~m_main_v_state(s129, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19018, 145, 29201])).
% 5.32/4.82 tff(29203,plain,
% 5.32/4.82 (~node4(s128)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19047, 29202])).
% 5.32/4.82 tff(29204,plain,
% 5.32/4.82 (~m_main_v_state(s128, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19041, 145, 29200])).
% 5.32/4.82 tff(29205,plain,
% 5.32/4.82 (~m_main_v_state(s127, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19103, 145, 29199])).
% 5.32/4.82 tff(29206,plain,
% 5.32/4.82 (m_main_v_state(s127, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19138, 188, 29205])).
% 5.32/4.82 tff(29207,plain,
% 5.32/4.82 (~m_main_v_request(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19147, 29206, 29204])).
% 5.32/4.82 tff(29208,plain,
% 5.32/4.82 (~node4(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19151, 63, 29207])).
% 5.32/4.82 tff(29209,plain,
% 5.32/4.82 (until2p7(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[12769, 12761, 11264])).
% 5.32/4.82 tff(29210,plain,
% 5.32/4.82 (node4(s127) | xuntil2p8(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9564, 8293, 29209])).
% 5.32/4.82 tff(29211,plain,
% 5.32/4.82 (xuntil2p8(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29210, 29208])).
% 5.32/4.82 tff(29212,plain,
% 5.32/4.82 (until2p7(s128)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9558, 29211])).
% 5.32/4.82 tff(29213,plain,
% 5.32/4.82 (xuntil2p8(s128)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9552, 8293, 29212, 29203])).
% 5.32/4.82 tff(29214,plain,
% 5.32/4.82 (until2p7(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9546, 29213])).
% 5.32/4.82 tff(29215,plain,
% 5.32/4.82 (always3(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5383, 29201])).
% 5.32/4.82 tff(29216,plain,
% 5.32/4.82 (always3(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5354, 29215])).
% 5.32/4.82 tff(29217,plain,
% 5.32/4.82 (~m_main_v_state(s131, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18925, 145, 29216])).
% 5.32/4.82 tff(29218,plain,
% 5.32/4.82 (~node4(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18954, 29217])).
% 5.32/4.82 tff(29219,plain,
% 5.32/4.82 (m_main_v_state(s131, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18959, 188, 29217])).
% 5.32/4.82 tff(29220,plain,
% 5.32/4.82 (~m_main_v_request(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18968, 29219, 18956])).
% 5.32/4.82 tff(29221,plain,
% 5.32/4.82 (~node4(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18972, 63, 29220])).
% 5.32/4.82 tff(29222,plain,
% 5.32/4.82 (~until2p7(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29036, 29221])).
% 5.32/4.82 tff(29223,plain,
% 5.32/4.82 (~xuntil2p8(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9522, 29222])).
% 5.32/4.82 tff(29224,plain,
% 5.32/4.82 (~until2p7(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9528, 8293, 29223, 29218])).
% 5.32/4.82 tff(29225,plain,
% 5.32/4.82 (~xuntil2p8(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9534, 29224])).
% 5.32/4.82 tff(29226,plain,
% 5.32/4.82 (~m_main_v_state(s130, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18948, 145, 29215])).
% 5.32/4.82 tff(29227,plain,
% 5.32/4.82 (m_main_v_state(s129, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19053, 188, 29202])).
% 5.32/4.82 tff(29228,plain,
% 5.32/4.82 (~m_main_v_request(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19062, 29227, 29226])).
% 5.32/4.82 tff(29229,plain,
% 5.32/4.82 (~node4(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19066, 63, 29228])).
% 5.32/4.82 tff(29230,plain,
% 5.32/4.82 (xuntil2p8(s129) | (~until2p7(s129))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9540, 8293, 29229])).
% 5.32/4.82 tff(29231,plain,
% 5.32/4.82 ($false),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29230, 29225, 29214])).
% 5.32/4.82 tff(29232,plain,((~trans(s199, s127)) | xuntil2p8(s131) | m_main_v_state(s132, c_busy) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.32/4.82 tff(29233,plain,
% 5.32/4.82 (~trans(s199, s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29232, 29033, 29017, 11264])).
% 5.32/4.82 tff(29234,plain,
% 5.32/4.82 (~trans(s199, s173)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[26749, 28740, 28734, 11264])).
% 5.32/4.82 tff(29235,plain,
% 5.32/4.82 (~trans(s199, s136)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[28269, 28918, 11264])).
% 5.32/4.82 tff(29236,plain,
% 5.32/4.82 (always3(s124)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[24971, 12970])).
% 5.32/4.82 tff(29237,plain,
% 5.32/4.82 (always3(s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5472, 29236])).
% 5.32/4.82 tff(29238,plain,
% 5.32/4.82 (always3(s126)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5460, 29237])).
% 5.32/4.82 tff(29239,plain,
% 5.32/4.82 (~m_main_v_state(s126, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19126, 145, 29238])).
% 5.32/4.82 tff(29240,plain,
% 5.32/4.82 (~m_main_v_state(s125, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19181, 145, 29237])).
% 5.32/4.82 tff(29241,plain,
% 5.32/4.82 (m_main_v_state(s125, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19185, 188, 29240])).
% 5.32/4.82 tff(29242,plain,
% 5.32/4.82 (~m_main_v_request(s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19194, 29241, 29239])).
% 5.32/4.82 tff(29243,plain,
% 5.32/4.82 (~node4(s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19198, 63, 29242])).
% 5.32/4.82 tff(29244,plain,
% 5.32/4.82 (~m_main_v_state(s124, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19219, 145, 29236])).
% 5.32/4.82 tff(29245,plain,
% 5.32/4.82 (m_main_v_state(s124, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19223, 188, 29244])).
% 5.32/4.82 tff(29246,plain,
% 5.32/4.82 (~m_main_v_request(s124)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19232, 29245, 29240])).
% 5.32/4.82 tff(29247,plain,
% 5.32/4.82 (~node4(s124)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19236, 63, 29246])).
% 5.32/4.82 tff(29248,plain,
% 5.32/4.82 (until2p7(s124)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[12978, 12970, 11264])).
% 5.32/4.82 tff(29249,plain,
% 5.32/4.82 (node4(s124) | xuntil2p8(s124)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9600, 8293, 29248])).
% 5.32/4.82 tff(29250,plain,
% 5.32/4.82 (xuntil2p8(s124)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29249, 29247])).
% 5.32/4.82 tff(29251,plain,
% 5.32/4.82 (until2p7(s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9594, 29250])).
% 5.32/4.82 tff(29252,plain,
% 5.32/4.82 (xuntil2p8(s125)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9588, 8293, 29251, 29243])).
% 5.32/4.82 tff(29253,plain,
% 5.32/4.82 (until2p7(s126)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9582, 29252])).
% 5.32/4.82 tff(29254,plain,
% 5.32/4.82 (always3(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5448, 29238])).
% 5.32/4.82 tff(29255,plain,
% 5.32/4.82 (~m_main_v_state(s127, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19103, 145, 29254])).
% 5.32/4.82 tff(29256,plain,
% 5.32/4.82 (~node4(s126)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19132, 29255])).
% 5.32/4.82 tff(29257,plain,
% 5.32/4.82 (xuntil2p8(s126) | (~until2p7(s126))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9576, 8293, 29256])).
% 5.32/4.82 tff(29258,plain,
% 5.32/4.82 (xuntil2p8(s126)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29257, 29253])).
% 5.32/4.82 tff(29259,plain,
% 5.32/4.82 (until2p7(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9570, 29258])).
% 5.32/4.82 tff(29260,plain,
% 5.32/4.82 (always3(s128)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5436, 29254])).
% 5.32/4.82 tff(29261,plain,
% 5.32/4.82 (~m_main_v_state(s128, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19041, 145, 29260])).
% 5.32/4.82 tff(29262,plain,
% 5.32/4.82 (m_main_v_state(s127, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19138, 188, 29255])).
% 5.32/4.82 tff(29263,plain,
% 5.32/4.82 (~m_main_v_request(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19147, 29262, 29261])).
% 5.32/4.82 tff(29264,plain,
% 5.32/4.82 (~node4(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19151, 63, 29263])).
% 5.32/4.82 tff(29265,plain,
% 5.32/4.82 (xuntil2p8(s127) | (~until2p7(s127))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9564, 8293, 29264])).
% 5.32/4.82 tff(29266,plain,
% 5.32/4.82 (xuntil2p8(s127)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29265, 29259])).
% 5.32/4.82 tff(29267,plain,
% 5.32/4.82 (always3(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5412, 29260])).
% 5.32/4.82 tff(29268,plain,
% 5.32/4.82 (always3(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5383, 29267])).
% 5.32/4.82 tff(29269,plain,
% 5.32/4.82 (always3(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[5354, 29268])).
% 5.32/4.82 tff(29270,plain,
% 5.32/4.82 (~m_main_v_state(s131, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18925, 145, 29269])).
% 5.32/4.82 tff(29271,plain,
% 5.32/4.82 (~node4(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18954, 29270])).
% 5.32/4.82 tff(29272,plain,
% 5.32/4.82 (m_main_v_state(s131, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18959, 188, 29270])).
% 5.32/4.82 tff(29273,plain,
% 5.32/4.82 (~m_main_v_request(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18968, 29272, 18956])).
% 5.32/4.82 tff(29274,plain,
% 5.32/4.82 (~node4(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18972, 63, 29273])).
% 5.32/4.82 tff(29275,plain,
% 5.32/4.82 (~until2p7(s131)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29036, 29274])).
% 5.32/4.82 tff(29276,plain,
% 5.32/4.82 (~xuntil2p8(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9522, 29275])).
% 5.32/4.82 tff(29277,plain,
% 5.32/4.82 (~until2p7(s130)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9528, 8293, 29276, 29271])).
% 5.32/4.82 tff(29278,plain,
% 5.32/4.82 (~xuntil2p8(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9534, 29277])).
% 5.32/4.82 tff(29279,plain,
% 5.32/4.82 (~m_main_v_state(s130, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[18948, 145, 29268])).
% 5.32/4.82 tff(29280,plain,
% 5.32/4.82 (~m_main_v_state(s129, c_busy)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19018, 145, 29267])).
% 5.32/4.82 tff(29281,plain,
% 5.32/4.82 (m_main_v_state(s129, c_ready)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19053, 188, 29280])).
% 5.32/4.82 tff(29282,plain,
% 5.32/4.82 (~m_main_v_request(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19062, 29281, 29279])).
% 5.32/4.82 tff(29283,plain,
% 5.32/4.82 (~node4(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19066, 63, 29282])).
% 5.32/4.82 tff(29284,plain,
% 5.32/4.82 (xuntil2p8(s129) | (~until2p7(s129))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9540, 8293, 29283])).
% 5.32/4.82 tff(29285,plain,
% 5.32/4.82 (~until2p7(s129)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29284, 29278])).
% 5.32/4.82 tff(29286,plain,
% 5.32/4.82 (~xuntil2p8(s128)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9546, 29285])).
% 5.32/4.82 tff(29287,plain,
% 5.32/4.82 (~node4(s128)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[19047, 29280])).
% 5.32/4.82 tff(29288,plain,
% 5.32/4.82 (xuntil2p8(s128) | (~until2p7(s128))),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9552, 8293, 29287])).
% 5.32/4.82 tff(29289,plain,
% 5.32/4.82 (~until2p7(s128)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29288, 29286])).
% 5.32/4.82 tff(29290,plain,
% 5.32/4.82 ($false),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[9558, 29289, 29266])).
% 5.32/4.82 tff(29291,plain,((~trans(s199, s124)) | xuntil2p8(s131) | m_main_v_state(s132, c_busy) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.32/4.82 tff(29292,plain,
% 5.32/4.82 (~trans(s199, s124)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[29291, 29033, 29017, 11264])).
% 5.32/4.82 tff(29293,plain,
% 5.32/4.82 (~trans(s199, s175)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[13352, 28732, 11264])).
% 5.32/4.82 tff(29294,plain,
% 5.32/4.82 (~trans(s199, s163)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[12791, 28802, 11264])).
% 5.32/4.82 tff(29295,plain,
% 5.32/4.82 (~trans(s199, s145)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[27196, 28805, 11264])).
% 5.32/4.82 tff(29296,plain,
% 5.32/4.82 (~trans(s199, s152)),
% 5.32/4.82 inference(unit_resolution,[status(thm)],[27262, 28805, 11264])).
% 5.32/4.82 tff(29297,plain,
% 5.32/4.82 (~trans(s199, s176)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[12923, 28725, 11264])).
% 5.32/4.83 tff(29298,plain,
% 5.32/4.83 (~trans(s199, s165)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[11647, 28792, 11264])).
% 5.32/4.83 tff(29299,plain,
% 5.32/4.83 (~trans(s199, s139)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[11416, 28973, 11264])).
% 5.32/4.83 tff(29300,plain,
% 5.32/4.83 (~trans(s199, s138)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[28307, 28918, 11264])).
% 5.32/4.83 tff(29301,plain,
% 5.32/4.83 (~trans(s199, s147)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[26689, 28726, 28720, 11264])).
% 5.32/4.83 tff(29302,plain,
% 5.32/4.83 (~trans(s199, s141)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[13308, 28917, 11264])).
% 5.32/4.83 tff(29303,plain,
% 5.32/4.83 (~trans(s199, s144)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[12241, 28898, 11264])).
% 5.32/4.83 tff(29304,plain,
% 5.32/4.83 (~trans(s199, s143)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[27763, 28891, 11264])).
% 5.32/4.83 tff(29305,plain,
% 5.32/4.83 (~trans(s199, s166)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[13022, 28790, 11264])).
% 5.32/4.83 tff(29306,plain,
% 5.32/4.83 (~trans(s199, s178)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[26174, 28703, 11264])).
% 5.32/4.83 tff(29307,plain,
% 5.32/4.83 (~always3(s121)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5508, 28940])).
% 5.32/4.83 tff(29308,plain,
% 5.32/4.83 (~always3(s120)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5520, 29307])).
% 5.32/4.83 tff(29309,plain,
% 5.32/4.83 (~trans(s199, s120)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[24919, 29308])).
% 5.32/4.83 tff(29310,plain,
% 5.32/4.83 (~always3(s119)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5532, 29308])).
% 5.32/4.83 tff(29311,plain,
% 5.32/4.83 (~trans(s199, s119)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[28338, 29310])).
% 5.32/4.83 tff(29312,plain,
% 5.32/4.83 ($false),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[26047, 29311, 29309, 13665, 13662, 12474, 29306, 13659, 13658, 29305, 13656, 13655, 13654, 29304, 13652, 13651, 13650, 29303, 13648, 13647, 13646, 13645, 13644, 13643, 29302, 13641, 29301, 13639, 13638, 13637, 13636, 13635, 29300, 13633, 13632, 13631, 29299, 29298, 13628, 13627, 13626, 29297, 13624, 25404, 13622, 13621, 13620, 13619, 29296, 13617, 13616, 13615, 29295, 29294, 29293, 29292, 29235, 13609, 13608, 29234, 13606, 13605, 13604, 13603, 29233, 13601, 29198, 29117, 13598, 13597, 29095, 29094, 13594, 29093, 29044, 13591, 13590, 13589, 13588, 13587, 29032, 11264, 25920, 13583, 13582, 13581, 29031, 13579, 29030, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 29029, 13567, 29028, 13565, 13564, 29027, 13562, 13561, 29026, 13559, 29025, 29024, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 28959, 28958, 28957, 13535, 13534, 13532, 28956, 13530, 28955, 25900, 13527, 13526, 13525, 28954, 28953, 28952, 28951, 28950, 25857, 13518, 28949, 28948, 13515, 13514, 13513, 13512, 28947, 28946, 28945, 13508, 28944, 13506, 28943, 13504, 13503, 13502, 13501, 13500, 28942, 13498, 28931, 28941, 28923, 28922, 13493, 28921, 28939, 13490, 13489, 28919, 28788, 28787, 25767, 25766, 13440, 28786, 13438, 13437, 28777, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.32/4.83 tff(29313,plain,(always3(s130) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s100) | trans(s199, s83) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s113) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | (~xuntil6(s199)) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s46) | trans(s199, s108) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.32/4.83 tff(29314,plain,
% 5.32/4.83 (always3(s130)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29313, 11264, 13662, 12474, 13659, 13658, 13656, 13655, 13654, 13652, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13604, 13603, 13601, 13598, 13597, 13594, 13591, 13590, 13589, 13588, 13587, 13665, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13515, 13514, 13513, 13512, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 13489, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.32/4.83 tff(29315,plain,
% 5.32/4.83 (always3(s131)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5354, 29314])).
% 5.32/4.83 tff(29316,plain,
% 5.32/4.83 (~m_main_v_state(s131, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18925, 145, 29315])).
% 5.32/4.83 tff(29317,plain,
% 5.32/4.83 (~node4(s130)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18954, 29316])).
% 5.32/4.83 tff(29318,plain,
% 5.32/4.83 (m_main_v_state(s131, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18959, 188, 29316])).
% 5.32/4.83 tff(29319,plain,
% 5.32/4.83 (~m_main_v_request(s131)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18968, 29318, 29017])).
% 5.32/4.83 tff(29320,plain,
% 5.32/4.83 (~node4(s131)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18972, 63, 29319])).
% 5.32/4.83 tff(29321,plain,
% 5.32/4.83 (node4(s131) | (~until2p7(s131))),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9516, 8293, 29033])).
% 5.32/4.83 tff(29322,plain,
% 5.32/4.83 (~until2p7(s131)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29321, 29320])).
% 5.32/4.83 tff(29323,plain,
% 5.32/4.83 (~xuntil2p8(s130)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9522, 29322])).
% 5.32/4.83 tff(29324,plain,
% 5.32/4.83 (~until2p7(s130)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9528, 8293, 29323, 29317])).
% 5.32/4.83 tff(29325,plain,
% 5.32/4.83 (~trans(s199, s130)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[11537, 29324, 11264])).
% 5.32/4.83 tff(29326,plain,
% 5.32/4.83 (~trans(s199, s128)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[24941, 24932])).
% 5.32/4.83 tff(29327,plain,
% 5.32/4.83 (~m_main_v_state(s130, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18948, 145, 29314])).
% 5.32/4.83 tff(29328,plain,
% 5.32/4.83 (~xuntil2p8(s129)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9534, 29324])).
% 5.32/4.83 tff(29329,plain,
% 5.32/4.83 (always3(s122)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[24961, 12552])).
% 5.32/4.83 tff(29330,plain,
% 5.32/4.83 (always3(s123)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5496, 29329])).
% 5.32/4.83 tff(29331,plain,
% 5.32/4.83 (always3(s124)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5484, 29330])).
% 5.32/4.83 tff(29332,plain,
% 5.32/4.83 (~m_main_v_state(s124, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19219, 145, 29331])).
% 5.32/4.83 tff(29333,plain,
% 5.32/4.83 (~m_main_v_state(s123, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18651, 145, 29330])).
% 5.32/4.83 tff(29334,plain,
% 5.32/4.83 (m_main_v_state(s123, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19259, 188, 29333])).
% 5.32/4.83 tff(29335,plain,
% 5.32/4.83 (~m_main_v_request(s123)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19253, 29334, 29332])).
% 5.32/4.83 tff(29336,plain,
% 5.32/4.83 (~node4(s123)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19244, 63, 29335])).
% 5.32/4.83 tff(29337,plain,
% 5.32/4.83 (~m_main_v_state(s122, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18658, 145, 29329])).
% 5.32/4.83 tff(29338,plain,
% 5.32/4.83 (m_main_v_state(s122, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18662, 188, 29337])).
% 5.32/4.83 tff(29339,plain,
% 5.32/4.83 (~m_main_v_request(s122)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18739, 29338, 29333])).
% 5.32/4.83 tff(29340,plain,
% 5.32/4.83 (~node4(s122)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18730, 63, 29339])).
% 5.32/4.83 tff(29341,plain,
% 5.32/4.83 (until2p7(s122)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[12560, 12552, 11264])).
% 5.32/4.83 tff(29342,plain,
% 5.32/4.83 (node4(s122) | xuntil2p8(s122)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9624, 8293, 29341])).
% 5.32/4.83 tff(29343,plain,
% 5.32/4.83 (xuntil2p8(s122)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29342, 29340])).
% 5.32/4.83 tff(29344,plain,
% 5.32/4.83 (until2p7(s123)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9618, 29343])).
% 5.32/4.83 tff(29345,plain,
% 5.32/4.83 (xuntil2p8(s123)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9612, 8293, 29344, 29336])).
% 5.32/4.83 tff(29346,plain,
% 5.32/4.83 (until2p7(s124)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9606, 29345])).
% 5.32/4.83 tff(29347,plain,
% 5.32/4.83 (always3(s125)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5472, 29331])).
% 5.32/4.83 tff(29348,plain,
% 5.32/4.83 (~m_main_v_state(s125, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19181, 145, 29347])).
% 5.32/4.83 tff(29349,plain,
% 5.32/4.83 (m_main_v_state(s124, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19223, 188, 29332])).
% 5.32/4.83 tff(29350,plain,
% 5.32/4.83 (~m_main_v_request(s124)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19232, 29349, 29348])).
% 5.32/4.83 tff(29351,plain,
% 5.32/4.83 (~node4(s124)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19236, 63, 29350])).
% 5.32/4.83 tff(29352,plain,
% 5.32/4.83 (xuntil2p8(s124) | (~until2p7(s124))),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9600, 8293, 29351])).
% 5.32/4.83 tff(29353,plain,
% 5.32/4.83 (xuntil2p8(s124)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29352, 29346])).
% 5.32/4.83 tff(29354,plain,
% 5.32/4.83 (until2p7(s125)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9594, 29353])).
% 5.32/4.83 tff(29355,plain,
% 5.32/4.83 (always3(s126)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5460, 29347])).
% 5.32/4.83 tff(29356,plain,
% 5.32/4.83 (~m_main_v_state(s126, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19126, 145, 29355])).
% 5.32/4.83 tff(29357,plain,
% 5.32/4.83 (m_main_v_state(s125, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19185, 188, 29348])).
% 5.32/4.83 tff(29358,plain,
% 5.32/4.83 (~m_main_v_request(s125)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19194, 29357, 29356])).
% 5.32/4.83 tff(29359,plain,
% 5.32/4.83 (~node4(s125)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19198, 63, 29358])).
% 5.32/4.83 tff(29360,plain,
% 5.32/4.83 (xuntil2p8(s125) | (~until2p7(s125))),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9588, 8293, 29359])).
% 5.32/4.83 tff(29361,plain,
% 5.32/4.83 (xuntil2p8(s125)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29360, 29354])).
% 5.32/4.83 tff(29362,plain,
% 5.32/4.83 (always3(s127)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5448, 29355])).
% 5.32/4.83 tff(29363,plain,
% 5.32/4.83 (always3(s128)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5436, 29362])).
% 5.32/4.83 tff(29364,plain,
% 5.32/4.83 (always3(s129)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5412, 29363])).
% 5.32/4.83 tff(29365,plain,
% 5.32/4.83 (~m_main_v_state(s129, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19018, 145, 29364])).
% 5.32/4.83 tff(29366,plain,
% 5.32/4.83 (~node4(s128)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19047, 29365])).
% 5.32/4.83 tff(29367,assumption,(~m_main_v_state(s130, c_busy)), introduced(assumption)).
% 5.32/4.83 tff(29368,plain,
% 5.32/4.83 (m_main_v_state(s129, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19053, 188, 29365])).
% 5.32/4.83 tff(29369,plain,
% 5.32/4.83 (~m_main_v_request(s129)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19062, 29368, 29367])).
% 5.32/4.83 tff(29370,plain,
% 5.32/4.83 (~node4(s129)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19066, 63, 29369])).
% 5.32/4.83 tff(29371,assumption,(~xuntil2p8(s129)), introduced(assumption)).
% 5.32/4.83 tff(29372,plain,
% 5.32/4.83 (node4(s129) | (~until2p7(s129))),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9540, 8293, 29371])).
% 5.32/4.83 tff(29373,plain,
% 5.32/4.83 (~until2p7(s129)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29372, 29370])).
% 5.32/4.83 tff(29374,plain,
% 5.32/4.83 (~xuntil2p8(s128)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9546, 29373])).
% 5.32/4.83 tff(29375,plain,
% 5.32/4.83 (~until2p7(s128)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9552, 8293, 29374, 29366])).
% 5.32/4.83 tff(29376,plain,
% 5.32/4.83 (~xuntil2p8(s127)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9558, 29375])).
% 5.32/4.83 tff(29377,plain,
% 5.32/4.83 (~m_main_v_state(s128, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19041, 145, 29363])).
% 5.32/4.83 tff(29378,plain,
% 5.32/4.83 (~m_main_v_state(s127, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19103, 145, 29362])).
% 5.32/4.83 tff(29379,plain,
% 5.32/4.83 (m_main_v_state(s127, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19138, 188, 29378])).
% 5.32/4.83 tff(29380,plain,
% 5.32/4.83 (~m_main_v_request(s127)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19147, 29379, 29377])).
% 5.32/4.83 tff(29381,plain,
% 5.32/4.83 (~node4(s127)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19151, 63, 29380])).
% 5.32/4.83 tff(29382,plain,
% 5.32/4.83 (xuntil2p8(s127) | (~until2p7(s127))),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9564, 8293, 29381])).
% 5.32/4.83 tff(29383,plain,
% 5.32/4.83 (~until2p7(s127)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29382, 29376])).
% 5.32/4.83 tff(29384,plain,
% 5.32/4.83 (~xuntil2p8(s126)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9570, 29383])).
% 5.32/4.83 tff(29385,plain,
% 5.32/4.83 (~node4(s126)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19132, 29378])).
% 5.32/4.83 tff(29386,plain,
% 5.32/4.83 (xuntil2p8(s126) | (~until2p7(s126))),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9576, 8293, 29385])).
% 5.32/4.83 tff(29387,plain,
% 5.32/4.83 (~until2p7(s126)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29386, 29384])).
% 5.32/4.83 tff(29388,plain,
% 5.32/4.83 ($false),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9582, 29387, 29361])).
% 5.32/4.83 tff(29389,plain,((~trans(s199, s122)) | xuntil2p8(s129) | m_main_v_state(s130, c_busy) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.32/4.83 tff(29390,plain,
% 5.32/4.83 (~trans(s199, s122)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29389, 29328, 29327, 11264])).
% 5.32/4.83 tff(29391,plain,
% 5.32/4.83 (~always3(s122)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5496, 28928])).
% 5.32/4.83 tff(29392,plain,
% 5.32/4.83 (~always3(s121)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5508, 29391])).
% 5.32/4.83 tff(29393,plain,
% 5.32/4.83 (~always3(s120)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5520, 29392])).
% 5.32/4.83 tff(29394,plain,
% 5.32/4.83 (~trans(s199, s120)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[24919, 29393])).
% 5.32/4.83 tff(29395,plain,
% 5.32/4.83 (~always3(s119)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5532, 29393])).
% 5.32/4.83 tff(29396,plain,
% 5.32/4.83 (~trans(s199, s119)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[28338, 29395])).
% 5.32/4.83 tff(29397,plain,
% 5.32/4.83 ($false),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[26047, 29396, 29394, 13665, 13662, 12474, 29306, 13659, 13658, 29305, 13656, 13655, 13654, 29304, 13652, 13651, 13650, 29303, 13648, 13647, 13646, 13645, 13644, 13643, 29302, 13641, 29301, 13639, 13638, 13637, 13636, 13635, 29300, 13633, 13632, 13631, 29299, 29298, 13628, 13627, 13626, 29297, 13624, 25404, 13622, 13621, 13620, 13619, 29296, 13617, 13616, 13615, 29295, 29294, 29293, 29292, 29235, 13609, 13608, 29234, 13606, 13605, 13604, 13603, 29233, 13601, 29198, 29117, 13598, 13597, 29095, 29094, 13594, 29093, 29044, 13591, 13590, 13589, 13588, 13587, 29032, 11264, 25920, 13583, 13582, 13581, 29031, 13579, 29030, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 29029, 13567, 29390, 13565, 13564, 29027, 13562, 13561, 29026, 13559, 29025, 29024, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 28959, 28958, 28957, 13535, 13534, 13532, 28956, 13530, 28955, 25900, 13527, 13526, 13525, 28954, 28953, 28952, 28951, 28950, 25857, 13518, 28949, 28948, 13515, 13514, 13513, 13512, 28947, 29326, 28945, 13508, 28944, 13506, 28943, 13504, 13503, 13502, 13501, 13500, 29325, 13498, 28931, 28930, 28923, 28922, 13493, 28921, 28929, 13490, 13489, 28919, 28788, 28787, 25767, 25766, 13440, 28786, 13438, 13437, 28777, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.32/4.83 tff(29398,plain,(always3(s128) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s100) | trans(s199, s83) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s113) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | (~xuntil6(s199)) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s46) | trans(s199, s108) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.32/4.83 tff(29399,plain,
% 5.32/4.83 (always3(s128)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29398, 11264, 13662, 12474, 13659, 13658, 13656, 13655, 13654, 13652, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13604, 13603, 13601, 13598, 13597, 13594, 13591, 13590, 13589, 13588, 13587, 13665, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13515, 13514, 13513, 13512, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 13489, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.32/4.83 tff(29400,plain,
% 5.32/4.83 (~m_main_v_state(s128, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19041, 145, 29399])).
% 5.32/4.83 tff(29401,plain,
% 5.32/4.83 (always3(s129)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5412, 29399])).
% 5.32/4.83 tff(29402,plain,
% 5.32/4.83 (~m_main_v_state(s129, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19018, 145, 29401])).
% 5.32/4.83 tff(29403,plain,
% 5.32/4.83 (~node4(s128)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19047, 29402])).
% 5.32/4.83 tff(29404,plain,
% 5.32/4.83 (m_main_v_state(s129, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19053, 188, 29402])).
% 5.32/4.83 tff(29405,plain,
% 5.32/4.83 (~m_main_v_request(s129)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19062, 29404, 29327])).
% 5.32/4.83 tff(29406,plain,
% 5.32/4.83 (~node4(s129)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19066, 63, 29405])).
% 5.32/4.83 tff(29407,plain,
% 5.32/4.83 (node4(s129) | (~until2p7(s129))),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9540, 8293, 29328])).
% 5.32/4.83 tff(29408,plain,
% 5.32/4.83 (~until2p7(s129)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29407, 29406])).
% 5.32/4.83 tff(29409,plain,
% 5.32/4.83 (~xuntil2p8(s128)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9546, 29408])).
% 5.32/4.83 tff(29410,plain,
% 5.32/4.83 (~until2p7(s128)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9552, 8293, 29409, 29403])).
% 5.32/4.83 tff(29411,plain,
% 5.32/4.83 (~xuntil2p8(s127)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9558, 29410])).
% 5.32/4.83 tff(29412,plain,
% 5.32/4.83 (always3(s119)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[28338, 12266])).
% 5.32/4.83 tff(29413,plain,
% 5.32/4.83 (always3(s120)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5532, 29412])).
% 5.32/4.83 tff(29414,plain,
% 5.32/4.83 (~m_main_v_state(s120, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18560, 145, 29413])).
% 5.32/4.83 tff(29415,plain,
% 5.32/4.83 (~m_main_v_state(s119, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18481, 145, 29412])).
% 5.32/4.83 tff(29416,plain,
% 5.32/4.83 (m_main_v_state(s119, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18581, 188, 29415])).
% 5.32/4.83 tff(29417,plain,
% 5.32/4.83 (~m_main_v_request(s119)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18576, 29416, 29414])).
% 5.32/4.83 tff(29418,plain,
% 5.32/4.83 (~node4(s119)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18567, 63, 29417])).
% 5.32/4.83 tff(29419,plain,
% 5.32/4.83 (until2p7(s119)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[12274, 12266, 11264])).
% 5.32/4.83 tff(29420,plain,
% 5.32/4.83 (node4(s119) | xuntil2p8(s119)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9660, 8293, 29419])).
% 5.32/4.83 tff(29421,plain,
% 5.32/4.83 (xuntil2p8(s119)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29420, 29418])).
% 5.32/4.83 tff(29422,plain,
% 5.32/4.83 (until2p7(s120)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9654, 29421])).
% 5.32/4.83 tff(29423,plain,
% 5.32/4.83 (always3(s121)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5520, 29413])).
% 5.32/4.83 tff(29424,plain,
% 5.32/4.83 (~m_main_v_state(s121, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18682, 145, 29423])).
% 5.32/4.83 tff(29425,plain,
% 5.32/4.83 (m_main_v_state(s120, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18722, 188, 29414])).
% 5.32/4.83 tff(29426,plain,
% 5.32/4.83 (~m_main_v_request(s120)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18716, 29425, 29424])).
% 5.32/4.83 tff(29427,plain,
% 5.32/4.83 (~node4(s120)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18707, 63, 29426])).
% 5.32/4.83 tff(29428,plain,
% 5.32/4.83 (xuntil2p8(s120) | (~until2p7(s120))),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9648, 8293, 29427])).
% 5.32/4.83 tff(29429,plain,
% 5.32/4.83 (xuntil2p8(s120)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29428, 29422])).
% 5.32/4.83 tff(29430,plain,
% 5.32/4.83 (until2p7(s121)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9642, 29429])).
% 5.32/4.83 tff(29431,plain,
% 5.32/4.83 (always3(s122)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5508, 29423])).
% 5.32/4.83 tff(29432,plain,
% 5.32/4.83 (~m_main_v_state(s122, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18658, 145, 29431])).
% 5.32/4.83 tff(29433,plain,
% 5.32/4.83 (m_main_v_state(s121, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18687, 188, 29424])).
% 5.32/4.83 tff(29434,plain,
% 5.32/4.83 (~m_main_v_request(s121)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18696, 29433, 29432])).
% 5.32/4.83 tff(29435,plain,
% 5.32/4.83 (~node4(s121)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18700, 63, 29434])).
% 5.32/4.83 tff(29436,plain,
% 5.32/4.83 (xuntil2p8(s121) | (~until2p7(s121))),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9636, 8293, 29435])).
% 5.32/4.83 tff(29437,plain,
% 5.32/4.83 (xuntil2p8(s121)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29436, 29430])).
% 5.32/4.83 tff(29438,plain,
% 5.32/4.83 (until2p7(s122)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9630, 29437])).
% 5.32/4.83 tff(29439,plain,
% 5.32/4.83 (always3(s123)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5496, 29431])).
% 5.32/4.83 tff(29440,plain,
% 5.32/4.83 (always3(s124)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5484, 29439])).
% 5.32/4.83 tff(29441,plain,
% 5.32/4.83 (always3(s125)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5472, 29440])).
% 5.32/4.83 tff(29442,plain,
% 5.32/4.83 (always3(s126)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5460, 29441])).
% 5.32/4.83 tff(29443,plain,
% 5.32/4.83 (always3(s127)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5448, 29442])).
% 5.32/4.83 tff(29444,plain,
% 5.32/4.83 (~m_main_v_state(s127, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19103, 145, 29443])).
% 5.32/4.83 tff(29445,plain,
% 5.32/4.83 (~node4(s126)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19132, 29444])).
% 5.32/4.83 tff(29446,assumption,(~m_main_v_state(s128, c_busy)), introduced(assumption)).
% 5.32/4.83 tff(29447,plain,
% 5.32/4.83 (m_main_v_state(s127, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19138, 188, 29444])).
% 5.32/4.83 tff(29448,plain,
% 5.32/4.83 (~m_main_v_request(s127)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19147, 29447, 29446])).
% 5.32/4.83 tff(29449,plain,
% 5.32/4.83 (~node4(s127)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19151, 63, 29448])).
% 5.32/4.83 tff(29450,assumption,(~xuntil2p8(s127)), introduced(assumption)).
% 5.32/4.83 tff(29451,plain,
% 5.32/4.83 (node4(s127) | (~until2p7(s127))),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9564, 8293, 29450])).
% 5.32/4.83 tff(29452,plain,
% 5.32/4.83 (~until2p7(s127)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29451, 29449])).
% 5.32/4.83 tff(29453,plain,
% 5.32/4.83 (~xuntil2p8(s126)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9570, 29452])).
% 5.32/4.83 tff(29454,plain,
% 5.32/4.83 (~until2p7(s126)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9576, 8293, 29453, 29445])).
% 5.32/4.83 tff(29455,plain,
% 5.32/4.83 (~xuntil2p8(s125)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9582, 29454])).
% 5.32/4.83 tff(29456,plain,
% 5.32/4.83 (~m_main_v_state(s126, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19126, 145, 29442])).
% 5.32/4.83 tff(29457,plain,
% 5.32/4.83 (~m_main_v_state(s125, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19181, 145, 29441])).
% 5.32/4.83 tff(29458,plain,
% 5.32/4.83 (m_main_v_state(s125, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19185, 188, 29457])).
% 5.32/4.83 tff(29459,plain,
% 5.32/4.83 (~m_main_v_request(s125)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19194, 29458, 29456])).
% 5.32/4.83 tff(29460,plain,
% 5.32/4.83 (~node4(s125)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19198, 63, 29459])).
% 5.32/4.83 tff(29461,plain,
% 5.32/4.83 (xuntil2p8(s125) | (~until2p7(s125))),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9588, 8293, 29460])).
% 5.32/4.83 tff(29462,plain,
% 5.32/4.83 (~until2p7(s125)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29461, 29455])).
% 5.32/4.83 tff(29463,plain,
% 5.32/4.83 (~xuntil2p8(s124)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9594, 29462])).
% 5.32/4.83 tff(29464,plain,
% 5.32/4.83 (~m_main_v_state(s124, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19219, 145, 29440])).
% 5.32/4.83 tff(29465,plain,
% 5.32/4.83 (m_main_v_state(s124, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19223, 188, 29464])).
% 5.32/4.83 tff(29466,plain,
% 5.32/4.83 (~m_main_v_request(s124)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19232, 29465, 29457])).
% 5.32/4.83 tff(29467,plain,
% 5.32/4.83 (~node4(s124)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19236, 63, 29466])).
% 5.32/4.83 tff(29468,plain,
% 5.32/4.83 (xuntil2p8(s124) | (~until2p7(s124))),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9600, 8293, 29467])).
% 5.32/4.83 tff(29469,plain,
% 5.32/4.83 (~until2p7(s124)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29468, 29463])).
% 5.32/4.83 tff(29470,plain,
% 5.32/4.83 (~xuntil2p8(s123)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9606, 29469])).
% 5.32/4.83 tff(29471,plain,
% 5.32/4.83 (~m_main_v_state(s123, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18651, 145, 29439])).
% 5.32/4.83 tff(29472,plain,
% 5.32/4.83 (m_main_v_state(s123, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19259, 188, 29471])).
% 5.32/4.83 tff(29473,plain,
% 5.32/4.83 (~m_main_v_request(s123)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19253, 29472, 29464])).
% 5.32/4.83 tff(29474,plain,
% 5.32/4.83 (~node4(s123)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19244, 63, 29473])).
% 5.32/4.83 tff(29475,plain,
% 5.32/4.83 (xuntil2p8(s123) | (~until2p7(s123))),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9612, 8293, 29474])).
% 5.32/4.83 tff(29476,plain,
% 5.32/4.83 (~until2p7(s123)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29475, 29470])).
% 5.32/4.83 tff(29477,plain,
% 5.32/4.83 (~xuntil2p8(s122)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9618, 29476])).
% 5.32/4.83 tff(29478,plain,
% 5.32/4.83 (m_main_v_state(s122, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18662, 188, 29432])).
% 5.32/4.83 tff(29479,plain,
% 5.32/4.83 (~m_main_v_request(s122)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18739, 29478, 29471])).
% 5.32/4.83 tff(29480,plain,
% 5.32/4.83 (~node4(s122)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18730, 63, 29479])).
% 5.32/4.83 tff(29481,plain,
% 5.32/4.83 (xuntil2p8(s122) | (~until2p7(s122))),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9624, 8293, 29480])).
% 5.32/4.83 tff(29482,plain,
% 5.32/4.83 ($false),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29481, 29477, 29438])).
% 5.32/4.83 tff(29483,plain,((~trans(s199, s119)) | xuntil2p8(s127) | m_main_v_state(s128, c_busy) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.32/4.83 tff(29484,plain,
% 5.32/4.83 (~trans(s199, s119)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29483, 29411, 29400, 11264])).
% 5.32/4.83 tff(29485,plain,
% 5.32/4.83 (~trans(s199, s128)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[11658, 29410, 11264])).
% 5.32/4.83 tff(29486,plain,
% 5.32/4.83 (~always3(s125)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5460, 25003])).
% 5.32/4.83 tff(29487,plain,
% 5.32/4.83 (~always3(s124)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5472, 29486])).
% 5.32/4.83 tff(29488,plain,
% 5.32/4.83 (~always3(s123)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5484, 29487])).
% 5.32/4.83 tff(29489,plain,
% 5.32/4.83 (~trans(s199, s123)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[24908, 29488])).
% 5.32/4.83 tff(29490,plain,
% 5.32/4.83 (trans(s199, s120)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[26047, 29489, 13665, 13662, 12474, 29306, 13659, 13658, 29305, 13656, 13655, 13654, 29304, 13652, 13651, 13650, 29303, 13648, 13647, 13646, 13645, 13644, 13643, 29302, 13641, 29301, 13639, 13638, 13637, 13636, 13635, 29300, 13633, 13632, 13631, 29299, 29298, 13628, 13627, 13626, 29297, 13624, 25404, 13622, 13621, 13620, 13619, 29296, 13617, 13616, 13615, 29295, 29294, 29293, 29292, 29235, 13609, 13608, 29234, 13606, 13605, 13604, 13603, 29233, 13601, 29198, 29117, 13598, 13597, 29095, 29094, 13594, 29093, 29044, 13591, 13590, 13589, 13588, 13587, 29032, 11264, 25920, 13583, 13582, 13581, 29031, 13579, 29030, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 29029, 13567, 29390, 13565, 13564, 29027, 13562, 13561, 29026, 13559, 29025, 29024, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 28959, 28958, 28957, 13535, 13534, 13532, 28956, 13530, 28955, 25900, 13527, 13526, 13525, 28954, 28953, 28952, 28951, 28950, 25857, 13518, 28949, 28948, 13515, 13514, 13513, 13512, 28947, 29485, 28945, 13508, 28944, 13506, 28943, 13504, 13503, 13502, 13501, 13500, 29325, 13498, 28931, 29484, 28923, 28922, 13493, 28921, 28920, 13490, 13489, 28919, 28788, 28787, 25767, 25766, 13440, 28786, 13438, 13437, 28777, 13435, 13434, 13433, 13378, 13664, 25415, 13408])).
% 5.32/4.83 tff(29491,plain,
% 5.32/4.83 (~always3(s122)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5496, 29488])).
% 5.32/4.83 tff(29492,plain,
% 5.32/4.83 (~always3(s121)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5508, 29491])).
% 5.32/4.83 tff(29493,plain,
% 5.32/4.83 (~always3(s120)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5520, 29492])).
% 5.32/4.83 tff(29494,plain,
% 5.32/4.83 ($false),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[24919, 29493, 29490])).
% 5.32/4.83 tff(29495,plain,(always3(s126) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s100) | trans(s199, s83) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s113) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | (~xuntil6(s199)) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s46) | trans(s199, s108) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.32/4.83 tff(29496,plain,
% 5.32/4.83 (always3(s126)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29495, 24887, 13662, 24794, 13659, 13658, 13656, 13655, 13654, 13652, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13604, 13603, 13601, 13598, 13597, 13594, 13591, 13590, 13589, 13588, 13587, 13665, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 24898, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13515, 13514, 13513, 13512, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 13489, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.32/4.83 tff(29497,plain,
% 5.32/4.83 (always3(s127)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5448, 29496])).
% 5.32/4.83 tff(29498,plain,
% 5.32/4.83 (~m_main_v_state(s127, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19103, 145, 29497])).
% 5.32/4.83 tff(29499,plain,
% 5.32/4.83 (~node4(s126)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19132, 29498])).
% 5.32/4.83 tff(29500,plain,
% 5.32/4.83 (always3(s128)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29398, 24887, 13662, 24794, 13659, 13658, 13656, 13655, 13654, 13652, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13604, 13603, 13601, 13598, 13597, 13594, 13591, 13590, 13589, 13588, 13587, 13665, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 24898, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13515, 13514, 13513, 13512, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 13489, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.32/4.83 tff(29501,plain,
% 5.32/4.83 (~m_main_v_state(s128, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19041, 145, 29500])).
% 5.32/4.83 tff(29502,plain,
% 5.32/4.83 (m_main_v_state(s127, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19138, 188, 29498])).
% 5.32/4.83 tff(29503,plain,
% 5.32/4.83 (~m_main_v_request(s127)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19147, 29502, 29501])).
% 5.32/4.83 tff(29504,plain,
% 5.32/4.83 (~node4(s127)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19151, 63, 29503])).
% 5.32/4.83 tff(29505,plain,
% 5.32/4.83 (always3(s129)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5412, 29500])).
% 5.32/4.83 tff(29506,plain,
% 5.32/4.83 (~m_main_v_state(s129, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19018, 145, 29505])).
% 5.32/4.83 tff(29507,plain,
% 5.32/4.83 (~node4(s128)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19047, 29506])).
% 5.32/4.83 tff(29508,plain,
% 5.32/4.83 (always3(s130)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29313, 24887, 13662, 24794, 13659, 13658, 13656, 13655, 13654, 13652, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13604, 13603, 13601, 13598, 13597, 13594, 13591, 13590, 13589, 13588, 13587, 13665, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 24898, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13515, 13514, 13513, 13512, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 13489, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408])).
% 5.32/4.83 tff(29509,plain,
% 5.32/4.83 (~m_main_v_state(s130, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18948, 145, 29508])).
% 5.32/4.83 tff(29510,plain,
% 5.32/4.83 (m_main_v_state(s129, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19053, 188, 29506])).
% 5.32/4.83 tff(29511,plain,
% 5.32/4.83 (~m_main_v_request(s129)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19062, 29510, 29509])).
% 5.32/4.83 tff(29512,plain,
% 5.32/4.83 (~node4(s129)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[19066, 63, 29511])).
% 5.32/4.83 tff(29513,plain,
% 5.32/4.83 (always3(s131)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[5354, 29508])).
% 5.32/4.83 tff(29514,plain,
% 5.32/4.83 (~m_main_v_state(s131, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18925, 145, 29513])).
% 5.32/4.83 tff(29515,plain,
% 5.32/4.83 (~node4(s130)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18954, 29514])).
% 5.32/4.83 tff(29516,plain,
% 5.32/4.83 (~m_main_v_state(s132, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18867, 145, 28341])).
% 5.32/4.83 tff(29517,plain,
% 5.32/4.83 (m_main_v_state(s131, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18959, 188, 29514])).
% 5.32/4.83 tff(29518,plain,
% 5.32/4.83 (~m_main_v_request(s131)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18968, 29517, 29516])).
% 5.32/4.83 tff(29519,plain,
% 5.32/4.83 (~node4(s131)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[18972, 63, 29518])).
% 5.32/4.83 tff(29520,plain,
% 5.32/4.83 (~m_main_v_state(s140, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[20534, 145, 28349])).
% 5.32/4.83 tff(29521,plain,
% 5.32/4.83 (m_main_v_state(s140, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[23681, 29520])).
% 5.32/4.83 tff(29522,plain,
% 5.32/4.83 (~m_main_v_state(s141, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[20511, 145, 28350])).
% 5.32/4.83 tff(29523,plain,
% 5.32/4.83 (~m_main_v_request(s140)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[20527, 29522, 29521])).
% 5.32/4.83 tff(29524,plain,
% 5.32/4.83 (~node4(s140)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[20518, 63, 29523])).
% 5.32/4.83 tff(29525,plain,
% 5.32/4.83 (xuntil2p8(s140) | (~until2p7(s140))),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9408, 8293, 29524])).
% 5.32/4.83 tff(29526,plain,
% 5.32/4.83 (~until2p7(s140)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[29525, 28630])).
% 5.32/4.83 tff(29527,plain,
% 5.32/4.83 (~xuntil2p8(s139)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9414, 29526])).
% 5.32/4.83 tff(29528,plain,
% 5.32/4.83 (~m_main_v_state(s139, c_busy)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[20560, 145, 28348])).
% 5.32/4.83 tff(29529,plain,
% 5.32/4.83 (m_main_v_state(s139, c_ready)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[20565, 188, 29528])).
% 5.32/4.83 tff(29530,plain,
% 5.32/4.83 (~m_main_v_request(s139)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[20574, 29529, 29520])).
% 5.32/4.83 tff(29531,plain,
% 5.32/4.83 (~node4(s139)),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[20578, 63, 29530])).
% 5.32/4.83 tff(29532,plain,
% 5.32/4.83 (xuntil2p8(s139) | (~until2p7(s139))),
% 5.32/4.83 inference(unit_resolution,[status(thm)],[9420, 8293, 29531])).
% 5.32/4.84 tff(29533,plain,
% 5.32/4.84 (~until2p7(s139)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29532, 29527])).
% 5.32/4.84 tff(29534,plain,
% 5.32/4.84 (~xuntil2p8(s138)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9426, 29533])).
% 5.32/4.84 tff(29535,plain,
% 5.32/4.84 (~m_main_v_state(s138, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20127, 145, 28347])).
% 5.32/4.84 tff(29536,plain,
% 5.32/4.84 (m_main_v_state(s138, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20600, 188, 29535])).
% 5.32/4.84 tff(29537,plain,
% 5.32/4.84 (~m_main_v_request(s138)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20594, 29536, 29528])).
% 5.32/4.84 tff(29538,plain,
% 5.32/4.84 (~node4(s138)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20585, 63, 29537])).
% 5.32/4.84 tff(29539,plain,
% 5.32/4.84 (xuntil2p8(s138) | (~until2p7(s138))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9432, 8293, 29538])).
% 5.32/4.84 tff(29540,plain,
% 5.32/4.84 (~until2p7(s138)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29539, 29534])).
% 5.32/4.84 tff(29541,plain,
% 5.32/4.84 (~xuntil2p8(s137)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9438, 29540])).
% 5.32/4.84 tff(29542,plain,
% 5.32/4.84 (~m_main_v_state(s137, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20134, 145, 28346])).
% 5.32/4.84 tff(29543,plain,
% 5.32/4.84 (m_main_v_state(s137, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20138, 188, 29542])).
% 5.32/4.84 tff(29544,plain,
% 5.32/4.84 (~m_main_v_request(s137)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20215, 29543, 29535])).
% 5.32/4.84 tff(29545,plain,
% 5.32/4.84 (~node4(s137)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20206, 63, 29544])).
% 5.32/4.84 tff(29546,plain,
% 5.32/4.84 (xuntil2p8(s137) | (~until2p7(s137))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9444, 8293, 29545])).
% 5.32/4.84 tff(29547,plain,
% 5.32/4.84 (~until2p7(s137)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29546, 29541])).
% 5.32/4.84 tff(29548,plain,
% 5.32/4.84 (~xuntil2p8(s136)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9450, 29547])).
% 5.32/4.84 tff(29549,plain,
% 5.32/4.84 (~m_main_v_state(s136, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20158, 145, 28345])).
% 5.32/4.84 tff(29550,plain,
% 5.32/4.84 (m_main_v_state(s136, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20163, 188, 29549])).
% 5.32/4.84 tff(29551,plain,
% 5.32/4.84 (~m_main_v_request(s136)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20172, 29550, 29542])).
% 5.32/4.84 tff(29552,plain,
% 5.32/4.84 (~node4(s136)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20176, 63, 29551])).
% 5.32/4.84 tff(29553,plain,
% 5.32/4.84 (xuntil2p8(s136) | (~until2p7(s136))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9456, 8293, 29552])).
% 5.32/4.84 tff(29554,plain,
% 5.32/4.84 (~until2p7(s136)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29553, 29548])).
% 5.32/4.84 tff(29555,plain,
% 5.32/4.84 (~xuntil2p8(s135)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9462, 29554])).
% 5.32/4.84 tff(29556,plain,
% 5.32/4.84 (~m_main_v_state(s135, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19541, 145, 28344])).
% 5.32/4.84 tff(29557,plain,
% 5.32/4.84 (m_main_v_state(s135, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20198, 188, 29556])).
% 5.32/4.84 tff(29558,plain,
% 5.32/4.84 (~m_main_v_request(s135)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20192, 29557, 29549])).
% 5.32/4.84 tff(29559,plain,
% 5.32/4.84 (~node4(s135)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20183, 63, 29558])).
% 5.32/4.84 tff(29560,plain,
% 5.32/4.84 (xuntil2p8(s135) | (~until2p7(s135))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9468, 8293, 29559])).
% 5.32/4.84 tff(29561,plain,
% 5.32/4.84 (~until2p7(s135)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29560, 29555])).
% 5.32/4.84 tff(29562,plain,
% 5.32/4.84 (~xuntil2p8(s134)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9474, 29561])).
% 5.32/4.84 tff(29563,plain,
% 5.32/4.84 (~m_main_v_state(s134, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19548, 145, 28343])).
% 5.32/4.84 tff(29564,plain,
% 5.32/4.84 (m_main_v_state(s134, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19552, 188, 29563])).
% 5.32/4.84 tff(29565,plain,
% 5.32/4.84 (~m_main_v_request(s134)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19561, 29564, 29556])).
% 5.32/4.84 tff(29566,plain,
% 5.32/4.84 (~node4(s134)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19565, 63, 29565])).
% 5.32/4.84 tff(29567,plain,
% 5.32/4.84 (xuntil2p8(s134) | (~until2p7(s134))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9480, 8293, 29566])).
% 5.32/4.84 tff(29568,plain,
% 5.32/4.84 (~until2p7(s134)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29567, 29562])).
% 5.32/4.84 tff(29569,plain,
% 5.32/4.84 (~xuntil2p8(s133)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9486, 29568])).
% 5.32/4.84 tff(29570,plain,
% 5.32/4.84 (~m_main_v_state(s133, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[18860, 145, 28342])).
% 5.32/4.84 tff(29571,plain,
% 5.32/4.84 (m_main_v_state(s133, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19822, 188, 29570])).
% 5.32/4.84 tff(29572,plain,
% 5.32/4.84 (~m_main_v_request(s133)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19831, 29571, 29563])).
% 5.32/4.84 tff(29573,plain,
% 5.32/4.84 (~node4(s133)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19835, 63, 29572])).
% 5.32/4.84 tff(29574,plain,
% 5.32/4.84 (xuntil2p8(s133) | (~until2p7(s133))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9492, 8293, 29573])).
% 5.32/4.84 tff(29575,plain,
% 5.32/4.84 (~until2p7(s133)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29574, 29569])).
% 5.32/4.84 tff(29576,plain,
% 5.32/4.84 (~xuntil2p8(s132)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9498, 29575])).
% 5.32/4.84 tff(29577,plain,
% 5.32/4.84 (~node1(s131)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23608, 29516])).
% 5.32/4.84 tff(29578,plain,
% 5.32/4.84 (m_main_v_state(s132, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23616, 29577, 29516])).
% 5.32/4.84 tff(29579,plain,
% 5.32/4.84 (~m_main_v_request(s132)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19276, 29578, 29570])).
% 5.32/4.84 tff(29580,plain,
% 5.32/4.84 (~node4(s132)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19267, 63, 29579])).
% 5.32/4.84 tff(29581,plain,
% 5.32/4.84 (xuntil2p8(s132) | (~until2p7(s132))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9504, 8293, 29580])).
% 5.32/4.84 tff(29582,plain,
% 5.32/4.84 (~until2p7(s132)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29581, 29576])).
% 5.32/4.84 tff(29583,plain,
% 5.32/4.84 (~xuntil2p8(s131)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9510, 29582])).
% 5.32/4.84 tff(29584,plain,
% 5.32/4.84 (node4(s131) | (~until2p7(s131))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9516, 8293, 29583])).
% 5.32/4.84 tff(29585,plain,
% 5.32/4.84 (~until2p7(s131)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29584, 29519])).
% 5.32/4.84 tff(29586,plain,
% 5.32/4.84 (~xuntil2p8(s130)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9522, 29585])).
% 5.32/4.84 tff(29587,plain,
% 5.32/4.84 (~until2p7(s130)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9528, 8293, 29586, 29515])).
% 5.32/4.84 tff(29588,plain,
% 5.32/4.84 (~xuntil2p8(s129)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9534, 29587])).
% 5.32/4.84 tff(29589,plain,
% 5.32/4.84 (node4(s129) | (~until2p7(s129))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9540, 8293, 29588])).
% 5.32/4.84 tff(29590,plain,
% 5.32/4.84 (~until2p7(s129)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29589, 29512])).
% 5.32/4.84 tff(29591,plain,
% 5.32/4.84 (~xuntil2p8(s128)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9546, 29590])).
% 5.32/4.84 tff(29592,plain,
% 5.32/4.84 (~until2p7(s128)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9552, 8293, 29591, 29507])).
% 5.32/4.84 tff(29593,plain,
% 5.32/4.84 (~xuntil2p8(s127)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9558, 29592])).
% 5.32/4.84 tff(29594,plain,
% 5.32/4.84 (node4(s127) | (~until2p7(s127))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9564, 8293, 29593])).
% 5.32/4.84 tff(29595,plain,
% 5.32/4.84 (~until2p7(s127)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29594, 29504])).
% 5.32/4.84 tff(29596,plain,
% 5.32/4.84 (~xuntil2p8(s126)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9570, 29595])).
% 5.32/4.84 tff(29597,plain,
% 5.32/4.84 (~until2p7(s126)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9576, 8293, 29596, 29499])).
% 5.32/4.84 tff(29598,plain,
% 5.32/4.84 (~trans(s199, s126)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[13187, 29597, 24887])).
% 5.32/4.84 tff(29599,plain,
% 5.32/4.84 (~trans(s199, s148)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11460, 28596, 24887])).
% 5.32/4.84 tff(29600,plain,
% 5.32/4.84 (~trans(s199, s146)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11482, 28600, 24887])).
% 5.32/4.84 tff(29601,plain,
% 5.32/4.84 (~trans(s199, s134)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[28123, 28630, 24887])).
% 5.32/4.84 tff(29602,plain,
% 5.32/4.84 (~trans(s199, s119)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29483, 29593, 29501, 24887])).
% 5.32/4.84 tff(29603,plain,
% 5.32/4.84 (~trans(s199, s162)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11515, 28516, 24887])).
% 5.32/4.84 tff(29604,plain,
% 5.32/4.84 (~trans(s199, s130)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11537, 29587, 24887])).
% 5.32/4.84 tff(29605,plain,
% 5.32/4.84 (~trans(s199, s149)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[12296, 28594, 24887])).
% 5.32/4.84 tff(29606,plain,
% 5.32/4.84 (~trans(s199, s157)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11867, 28547, 24887])).
% 5.32/4.84 tff(29607,plain,
% 5.32/4.84 (~trans(s199, s169)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[12846, 28484, 24887])).
% 5.32/4.84 tff(29608,plain,
% 5.32/4.84 (~trans(s199, s128)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11658, 29592, 24887])).
% 5.32/4.84 tff(29609,plain,
% 5.32/4.84 (~trans(s199, s159)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11669, 28536, 24887])).
% 5.32/4.84 tff(29610,plain,
% 5.32/4.84 (~trans(s199, s174)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11724, 28449, 24887])).
% 5.32/4.84 tff(29611,plain,
% 5.32/4.84 (~trans(s199, s142)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11735, 28625, 24887])).
% 5.32/4.84 tff(29612,plain,
% 5.32/4.84 (~trans(s199, s187)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11757, 24887, 24818])).
% 5.32/4.84 tff(29613,plain,
% 5.32/4.84 (~trans(s199, s181)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11768, 28414, 24887])).
% 5.32/4.84 tff(29614,plain,
% 5.32/4.84 (~trans(s199, s154)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[13319, 28568, 24887])).
% 5.32/4.84 tff(29615,plain,
% 5.32/4.84 (~trans(s199, s177)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11790, 28427, 24887])).
% 5.32/4.84 tff(29616,plain,
% 5.32/4.84 (~trans(s199, s179)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11801, 28423, 24887])).
% 5.32/4.84 tff(29617,plain,
% 5.32/4.84 (~trans(s199, s180)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11812, 28416, 24887])).
% 5.32/4.84 tff(29618,plain,
% 5.32/4.84 (~trans(s199, s191)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11856, 24887, 24810])).
% 5.32/4.84 tff(29619,plain,
% 5.32/4.84 (~trans(s199, s155)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[27463, 28555, 28549, 24887])).
% 5.32/4.84 tff(29620,plain,
% 5.32/4.84 (~trans(s199, s156)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11779, 28554, 24887])).
% 5.32/4.84 tff(29621,plain,
% 5.32/4.84 (~trans(s199, s150)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[27430, 28548, 28542, 24887])).
% 5.32/4.84 tff(29622,plain,
% 5.32/4.84 (~trans(s199, s153)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[27336, 28541, 24887])).
% 5.32/4.84 tff(29623,plain,
% 5.32/4.84 (~trans(s199, s164)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[26473, 28436, 28430, 24887])).
% 5.32/4.84 tff(29624,plain,
% 5.32/4.84 (~trans(s199, s132)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[12175, 29582, 24887])).
% 5.32/4.84 tff(29625,plain,
% 5.32/4.84 (~trans(s199, s170)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[12494, 28477, 24887])).
% 5.32/4.84 tff(29626,plain,
% 5.32/4.84 (~trans(s199, s158)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[12208, 28540, 24887])).
% 5.32/4.84 tff(29627,plain,
% 5.32/4.84 (~trans(s199, s161)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[27005, 28517, 24887])).
% 5.32/4.84 tff(29628,plain,
% 5.32/4.84 (~trans(s199, s122)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29389, 29588, 29509, 24887])).
% 5.32/4.84 tff(29629,plain,
% 5.32/4.84 (~trans(s199, s171)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[26780, 28464, 28458, 24887])).
% 5.32/4.84 tff(29630,plain,
% 5.32/4.84 (~trans(s199, s135)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[28192, 28630, 24887])).
% 5.32/4.84 tff(29631,plain,
% 5.32/4.84 (~trans(s199, s137)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[28225, 28630, 24887])).
% 5.32/4.84 tff(29632,plain,
% 5.32/4.84 (~trans(s199, s186)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[12472, 24887, 24820])).
% 5.32/4.84 tff(29633,plain,
% 5.32/4.84 (~trans(s199, s172)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[12725, 28463, 24887])).
% 5.32/4.84 tff(29634,plain,
% 5.32/4.84 (~trans(s199, s131)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29043, 29516, 29583, 24887])).
% 5.32/4.84 tff(29635,plain,
% 5.32/4.84 (~trans(s199, s125)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29092, 29583, 29516, 24887])).
% 5.32/4.84 tff(29636,plain,
% 5.32/4.84 (~trans(s199, s160)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[27019, 28517, 24887])).
% 5.32/4.84 tff(29637,plain,
% 5.32/4.84 (~trans(s199, s151)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[27093, 28517, 24887])).
% 5.32/4.84 tff(29638,plain,
% 5.32/4.84 (~trans(s199, s129)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29116, 29583, 29516, 24887])).
% 5.32/4.84 tff(29639,plain,
% 5.32/4.84 (~trans(s199, s121)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29197, 29583, 29516, 24887])).
% 5.32/4.84 tff(29640,plain,
% 5.32/4.84 (~trans(s199, s127)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29232, 29583, 29516, 24887])).
% 5.32/4.84 tff(29641,plain,
% 5.32/4.84 (~trans(s199, s173)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[26749, 28450, 28444, 24887])).
% 5.32/4.84 tff(29642,plain,
% 5.32/4.84 (~trans(s199, s136)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[28269, 28630, 24887])).
% 5.32/4.84 tff(29643,plain,
% 5.32/4.84 (~trans(s199, s124)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29291, 29583, 29516, 24887])).
% 5.32/4.84 tff(29644,plain,
% 5.32/4.84 (~trans(s199, s175)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[13352, 28442, 24887])).
% 5.32/4.84 tff(29645,plain,
% 5.32/4.84 (~trans(s199, s163)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[12791, 28514, 24887])).
% 5.32/4.84 tff(29646,plain,
% 5.32/4.84 (~trans(s199, s145)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[27196, 28517, 24887])).
% 5.32/4.84 tff(29647,plain,
% 5.32/4.84 (~trans(s199, s152)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[27262, 28517, 24887])).
% 5.32/4.84 tff(29648,plain,
% 5.32/4.84 (~trans(s199, s133)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[25403, 24887, 24825])).
% 5.32/4.84 tff(29649,plain,
% 5.32/4.84 (~trans(s199, s176)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[12923, 28435, 24887])).
% 5.32/4.84 tff(29650,plain,
% 5.32/4.84 (~trans(s199, s165)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11647, 28504, 24887])).
% 5.32/4.84 tff(29651,plain,
% 5.32/4.84 (~trans(s199, s139)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11416, 29533, 24887])).
% 5.32/4.84 tff(29652,plain,
% 5.32/4.84 (~trans(s199, s138)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[28307, 28630, 24887])).
% 5.32/4.84 tff(29653,plain,
% 5.32/4.84 (~trans(s199, s147)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[26689, 28436, 28430, 24887])).
% 5.32/4.84 tff(29654,plain,
% 5.32/4.84 (~trans(s199, s141)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[13308, 28629, 24887])).
% 5.32/4.84 tff(29655,plain,
% 5.32/4.84 (~trans(s199, s144)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[12241, 28610, 24887])).
% 5.32/4.84 tff(29656,plain,
% 5.32/4.84 (~trans(s199, s143)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[27763, 28603, 24887])).
% 5.32/4.84 tff(29657,plain,
% 5.32/4.84 (~trans(s199, s166)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[13022, 28502, 24887])).
% 5.32/4.84 tff(29658,plain,
% 5.32/4.84 (~trans(s199, s178)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[26174, 28413, 24887])).
% 5.32/4.84 tff(29659,plain,
% 5.32/4.84 (~m_main_v_state(s126, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19126, 145, 29496])).
% 5.32/4.84 tff(29660,plain,
% 5.32/4.84 (~xuntil2p8(s125)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9582, 29597])).
% 5.32/4.84 tff(29661,plain,
% 5.32/4.84 (always3(s120)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[24919, 11496])).
% 5.32/4.84 tff(29662,plain,
% 5.32/4.84 (always3(s121)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5520, 29661])).
% 5.32/4.84 tff(29663,plain,
% 5.32/4.84 (always3(s122)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5508, 29662])).
% 5.32/4.84 tff(29664,plain,
% 5.32/4.84 (~m_main_v_state(s122, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[18658, 145, 29663])).
% 5.32/4.84 tff(29665,plain,
% 5.32/4.84 (~m_main_v_state(s121, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[18682, 145, 29662])).
% 5.32/4.84 tff(29666,plain,
% 5.32/4.84 (m_main_v_state(s121, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[18687, 188, 29665])).
% 5.32/4.84 tff(29667,plain,
% 5.32/4.84 (~m_main_v_request(s121)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[18696, 29666, 29664])).
% 5.32/4.84 tff(29668,plain,
% 5.32/4.84 (~node4(s121)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[18700, 63, 29667])).
% 5.32/4.84 tff(29669,plain,
% 5.32/4.84 (~m_main_v_state(s120, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[18560, 145, 29661])).
% 5.32/4.84 tff(29670,plain,
% 5.32/4.84 (m_main_v_state(s120, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[18722, 188, 29669])).
% 5.32/4.84 tff(29671,plain,
% 5.32/4.84 (~m_main_v_request(s120)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[18716, 29670, 29665])).
% 5.32/4.84 tff(29672,plain,
% 5.32/4.84 (~node4(s120)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[18707, 63, 29671])).
% 5.32/4.84 tff(29673,plain,
% 5.32/4.84 (until2p7(s120)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11504, 11496, 11264])).
% 5.32/4.84 tff(29674,plain,
% 5.32/4.84 (node4(s120) | xuntil2p8(s120)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9648, 8293, 29673])).
% 5.32/4.84 tff(29675,plain,
% 5.32/4.84 (xuntil2p8(s120)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29674, 29672])).
% 5.32/4.84 tff(29676,plain,
% 5.32/4.84 (until2p7(s121)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9642, 29675])).
% 5.32/4.84 tff(29677,plain,
% 5.32/4.84 (xuntil2p8(s121)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9636, 8293, 29676, 29668])).
% 5.32/4.84 tff(29678,plain,
% 5.32/4.84 (until2p7(s122)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9630, 29677])).
% 5.32/4.84 tff(29679,plain,
% 5.32/4.84 (always3(s123)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5496, 29663])).
% 5.32/4.84 tff(29680,plain,
% 5.32/4.84 (~m_main_v_state(s123, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[18651, 145, 29679])).
% 5.32/4.84 tff(29681,plain,
% 5.32/4.84 (m_main_v_state(s122, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[18662, 188, 29664])).
% 5.32/4.84 tff(29682,plain,
% 5.32/4.84 (~m_main_v_request(s122)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[18739, 29681, 29680])).
% 5.32/4.84 tff(29683,plain,
% 5.32/4.84 (~node4(s122)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[18730, 63, 29682])).
% 5.32/4.84 tff(29684,plain,
% 5.32/4.84 (xuntil2p8(s122) | (~until2p7(s122))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9624, 8293, 29683])).
% 5.32/4.84 tff(29685,plain,
% 5.32/4.84 (xuntil2p8(s122)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29684, 29678])).
% 5.32/4.84 tff(29686,plain,
% 5.32/4.84 (always3(s124)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5484, 29679])).
% 5.32/4.84 tff(29687,plain,
% 5.32/4.84 (always3(s125)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5472, 29686])).
% 5.32/4.84 tff(29688,plain,
% 5.32/4.84 (~m_main_v_state(s125, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19181, 145, 29687])).
% 5.32/4.84 tff(29689,plain,
% 5.32/4.84 (~m_main_v_state(s124, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19219, 145, 29686])).
% 5.32/4.84 tff(29690,plain,
% 5.32/4.84 (m_main_v_state(s124, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19223, 188, 29689])).
% 5.32/4.84 tff(29691,plain,
% 5.32/4.84 (~m_main_v_request(s124)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19232, 29690, 29688])).
% 5.32/4.84 tff(29692,plain,
% 5.32/4.84 (~node4(s124)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19236, 63, 29691])).
% 5.32/4.84 tff(29693,assumption,(~m_main_v_state(s126, c_busy)), introduced(assumption)).
% 5.32/4.84 tff(29694,plain,
% 5.32/4.84 (m_main_v_state(s125, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19185, 188, 29688])).
% 5.32/4.84 tff(29695,plain,
% 5.32/4.84 (~m_main_v_request(s125)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19194, 29694, 29693])).
% 5.32/4.84 tff(29696,plain,
% 5.32/4.84 (~node4(s125)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19198, 63, 29695])).
% 5.32/4.84 tff(29697,assumption,(~xuntil2p8(s125)), introduced(assumption)).
% 5.32/4.84 tff(29698,plain,
% 5.32/4.84 (node4(s125) | (~until2p7(s125))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9588, 8293, 29697])).
% 5.32/4.84 tff(29699,plain,
% 5.32/4.84 (~until2p7(s125)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29698, 29696])).
% 5.32/4.84 tff(29700,plain,
% 5.32/4.84 (~xuntil2p8(s124)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9594, 29699])).
% 5.32/4.84 tff(29701,plain,
% 5.32/4.84 (~until2p7(s124)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9600, 8293, 29700, 29692])).
% 5.32/4.84 tff(29702,plain,
% 5.32/4.84 (~xuntil2p8(s123)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9606, 29701])).
% 5.32/4.84 tff(29703,plain,
% 5.32/4.84 (m_main_v_state(s123, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19259, 188, 29680])).
% 5.32/4.84 tff(29704,plain,
% 5.32/4.84 (~m_main_v_request(s123)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19253, 29703, 29689])).
% 5.32/4.84 tff(29705,plain,
% 5.32/4.84 (~node4(s123)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19244, 63, 29704])).
% 5.32/4.84 tff(29706,plain,
% 5.32/4.84 (xuntil2p8(s123) | (~until2p7(s123))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9612, 8293, 29705])).
% 5.32/4.84 tff(29707,plain,
% 5.32/4.84 (~until2p7(s123)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29706, 29702])).
% 5.32/4.84 tff(29708,plain,
% 5.32/4.84 ($false),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9618, 29707, 29685])).
% 5.32/4.84 tff(29709,plain,((~trans(s199, s120)) | xuntil2p8(s125) | m_main_v_state(s126, c_busy) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.32/4.84 tff(29710,plain,
% 5.32/4.84 (~trans(s199, s120)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29709, 29660, 29659, 24887])).
% 5.32/4.84 tff(29711,plain,
% 5.32/4.84 (trans(s199, s123)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[26047, 29710, 13665, 13662, 24794, 29658, 13659, 13658, 29657, 13656, 13655, 13654, 29656, 13652, 13651, 13650, 29655, 13648, 13647, 13646, 13645, 13644, 13643, 29654, 13641, 29653, 13639, 13638, 13637, 13636, 13635, 29652, 13633, 13632, 13631, 29651, 29650, 13628, 13627, 13626, 29649, 13624, 29648, 13622, 13621, 13620, 13619, 29647, 13617, 13616, 13615, 29646, 29645, 29644, 29643, 29642, 13609, 13608, 29641, 13606, 13605, 13604, 13603, 29640, 13601, 29639, 29638, 13598, 13597, 29637, 29636, 13594, 29635, 29634, 13591, 13590, 13589, 13588, 13587, 29633, 24887, 29632, 13583, 13582, 13581, 29631, 13579, 29630, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 29629, 13567, 29628, 13565, 13564, 29627, 13562, 13561, 29626, 13559, 29625, 29624, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 24898, 29623, 29622, 29621, 13535, 13534, 13532, 29620, 13530, 29619, 29618, 13527, 13526, 13525, 29617, 29616, 29615, 29614, 29613, 29612, 13518, 29611, 29610, 13515, 13514, 13513, 13512, 29609, 29608, 29607, 13508, 29606, 13506, 29605, 13504, 13503, 13502, 13501, 13500, 29604, 13498, 29603, 29602, 29601, 29600, 13493, 29599, 29598, 13490, 13489, 28631, 28500, 28499, 28498, 28497, 13440, 28496, 13438, 13437, 28487, 13435, 13434, 13433, 13378, 13664, 24888, 13408])).
% 5.32/4.84 tff(29712,plain,
% 5.32/4.84 (always3(s123)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[24908, 29711])).
% 5.32/4.84 tff(29713,plain,
% 5.32/4.84 (always3(s124)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5484, 29712])).
% 5.32/4.84 tff(29714,plain,
% 5.32/4.84 (always3(s125)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5472, 29713])).
% 5.32/4.84 tff(29715,plain,
% 5.32/4.84 (~m_main_v_state(s125, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19181, 145, 29714])).
% 5.32/4.84 tff(29716,plain,
% 5.32/4.84 (~m_main_v_state(s124, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19219, 145, 29713])).
% 5.32/4.84 tff(29717,plain,
% 5.32/4.84 (m_main_v_state(s124, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19223, 188, 29716])).
% 5.32/4.84 tff(29718,plain,
% 5.32/4.84 (~m_main_v_request(s124)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19232, 29717, 29715])).
% 5.32/4.84 tff(29719,plain,
% 5.32/4.84 (~node4(s124)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19236, 63, 29718])).
% 5.32/4.84 tff(29720,plain,
% 5.32/4.84 (m_main_v_state(s125, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19185, 188, 29715])).
% 5.32/4.84 tff(29721,plain,
% 5.32/4.84 (~m_main_v_request(s125)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19194, 29720, 29659])).
% 5.32/4.84 tff(29722,plain,
% 5.32/4.84 (~node4(s125)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19198, 63, 29721])).
% 5.32/4.84 tff(29723,plain,
% 5.32/4.84 (node4(s125) | (~until2p7(s125))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9588, 8293, 29660])).
% 5.32/4.84 tff(29724,plain,
% 5.32/4.84 (~until2p7(s125)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29723, 29722])).
% 5.32/4.84 tff(29725,plain,
% 5.32/4.84 (~xuntil2p8(s124)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9594, 29724])).
% 5.32/4.84 tff(29726,plain,
% 5.32/4.84 (~m_main_v_state(s123, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[18651, 145, 29712])).
% 5.32/4.84 tff(29727,plain,
% 5.32/4.84 (m_main_v_state(s123, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19259, 188, 29726])).
% 5.32/4.84 tff(29728,plain,
% 5.32/4.84 (~m_main_v_request(s123)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19253, 29727, 29716])).
% 5.32/4.84 tff(29729,plain,
% 5.32/4.84 (~node4(s123)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[19244, 63, 29728])).
% 5.32/4.84 tff(29730,plain,
% 5.32/4.84 (until2p7(s123)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[11449, 29711, 24887])).
% 5.32/4.84 tff(29731,plain,
% 5.32/4.84 (node4(s123) | xuntil2p8(s123)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9612, 8293, 29730])).
% 5.32/4.84 tff(29732,plain,
% 5.32/4.84 (xuntil2p8(s123)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29731, 29729])).
% 5.32/4.84 tff(29733,plain,
% 5.32/4.84 (until2p7(s124)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9606, 29732])).
% 5.32/4.84 tff(29734,plain,
% 5.32/4.84 ($false),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9600, 8293, 29733, 29725, 29719])).
% 5.32/4.84 tff(29735,plain,(always3(s118) | trans(s199, s63) | trans(s199, s36) | trans(s199, s100) | trans(s199, s83) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s113) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s46) | trans(s199, s108) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185) | node4(s199) | (~until5(s111)) | (~until5(s118))), inference(lemma,lemma(discharge,[]))).
% 5.32/4.84 tff(29736,plain,
% 5.32/4.84 (always3(s118)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29735, 13656, 13662, 13659, 13658, 13665, 13655, 13654, 13652, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13604, 13603, 13601, 13598, 13597, 13594, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13515, 13514, 13513, 13512, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 13489, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408, 18474, 18146, 18506])).
% 5.32/4.84 tff(29737,plain,
% 5.32/4.84 (always3(s119)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5544, 29736])).
% 5.32/4.84 tff(29738,plain,
% 5.32/4.84 (always3(s120)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5532, 29737])).
% 5.32/4.84 tff(29739,plain,
% 5.32/4.84 (always3(s121)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5520, 29738])).
% 5.32/4.84 tff(29740,plain,
% 5.32/4.84 (always3(s122)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5508, 29739])).
% 5.32/4.84 tff(29741,plain,
% 5.32/4.84 (always3(s123)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5496, 29740])).
% 5.32/4.84 tff(29742,plain,
% 5.32/4.84 (always3(s124)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5484, 29741])).
% 5.32/4.84 tff(29743,plain,
% 5.32/4.84 (always3(s125)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5472, 29742])).
% 5.32/4.84 tff(29744,plain,
% 5.32/4.84 (always3(s126)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5460, 29743])).
% 5.32/4.84 tff(29745,plain,
% 5.32/4.84 (always3(s127)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5448, 29744])).
% 5.32/4.84 tff(29746,plain,
% 5.32/4.84 (always3(s128)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5436, 29745])).
% 5.32/4.84 tff(29747,plain,
% 5.32/4.84 (always3(s129)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5412, 29746])).
% 5.32/4.84 tff(29748,plain,
% 5.32/4.84 (always3(s130)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5383, 29747])).
% 5.32/4.84 tff(29749,plain,
% 5.32/4.84 (always3(s131)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5354, 29748])).
% 5.32/4.84 tff(29750,plain,
% 5.32/4.84 (always3(s132)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5325, 29749])).
% 5.32/4.84 tff(29751,plain,
% 5.32/4.84 (always3(s133)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5296, 29750])).
% 5.32/4.84 tff(29752,plain,
% 5.32/4.84 (always3(s134)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5267, 29751])).
% 5.32/4.84 tff(29753,plain,
% 5.32/4.84 (always3(s135)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5238, 29752])).
% 5.32/4.84 tff(29754,plain,
% 5.32/4.84 (always3(s136)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5209, 29753])).
% 5.32/4.84 tff(29755,plain,
% 5.32/4.84 (always3(s137)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5180, 29754])).
% 5.32/4.84 tff(29756,plain,
% 5.32/4.84 (always3(s138)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5151, 29755])).
% 5.32/4.84 tff(29757,plain,
% 5.32/4.84 (always3(s139)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5122, 29756])).
% 5.32/4.84 tff(29758,plain,
% 5.32/4.84 (always3(s140)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5093, 29757])).
% 5.32/4.84 tff(29759,plain,
% 5.32/4.84 (always3(s141)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5064, 29758])).
% 5.32/4.84 tff(29760,plain,
% 5.32/4.84 (always3(s142)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5035, 29759])).
% 5.32/4.84 tff(29761,plain,
% 5.32/4.84 (always3(s143)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[5006, 29760])).
% 5.32/4.84 tff(29762,plain,
% 5.32/4.84 (always3(s144)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4968, 29761])).
% 5.32/4.84 tff(29763,plain,
% 5.32/4.84 (always3(s145)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4334, 29762])).
% 5.32/4.84 tff(29764,plain,
% 5.32/4.84 (always3(s146)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4322, 29763])).
% 5.32/4.84 tff(29765,plain,
% 5.32/4.84 (always3(s147)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4310, 29764])).
% 5.32/4.84 tff(29766,plain,
% 5.32/4.84 (always3(s148)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4298, 29765])).
% 5.32/4.84 tff(29767,plain,
% 5.32/4.84 (always3(s149)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4286, 29766])).
% 5.32/4.84 tff(29768,plain,
% 5.32/4.84 (always3(s150)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4274, 29767])).
% 5.32/4.84 tff(29769,plain,
% 5.32/4.84 (always3(s151)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4262, 29768])).
% 5.32/4.84 tff(29770,plain,
% 5.32/4.84 (always3(s152)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4250, 29769])).
% 5.32/4.84 tff(29771,plain,
% 5.32/4.84 (always3(s153)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4238, 29770])).
% 5.32/4.84 tff(29772,plain,
% 5.32/4.84 (always3(s154)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4226, 29771])).
% 5.32/4.84 tff(29773,plain,
% 5.32/4.84 (always3(s155)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4214, 29772])).
% 5.32/4.84 tff(29774,plain,
% 5.32/4.84 (always3(s156)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4202, 29773])).
% 5.32/4.84 tff(29775,plain,
% 5.32/4.84 (always3(s157)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4190, 29774])).
% 5.32/4.84 tff(29776,plain,
% 5.32/4.84 (always3(s158)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4178, 29775])).
% 5.32/4.84 tff(29777,plain,
% 5.32/4.84 (always3(s159)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4166, 29776])).
% 5.32/4.84 tff(29778,plain,
% 5.32/4.84 (always3(s160)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4154, 29777])).
% 5.32/4.84 tff(29779,plain,
% 5.32/4.84 (always3(s161)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4142, 29778])).
% 5.32/4.84 tff(29780,plain,
% 5.32/4.84 (always3(s162)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4130, 29779])).
% 5.32/4.84 tff(29781,plain,
% 5.32/4.84 (always3(s163)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4118, 29780])).
% 5.32/4.84 tff(29782,plain,
% 5.32/4.84 (always3(s164)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4106, 29781])).
% 5.32/4.84 tff(29783,plain,
% 5.32/4.84 (always3(s165)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4094, 29782])).
% 5.32/4.84 tff(29784,plain,
% 5.32/4.84 (always3(s166)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4082, 29783])).
% 5.32/4.84 tff(29785,plain,
% 5.32/4.84 (always3(s167)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4070, 29784])).
% 5.32/4.84 tff(29786,plain,
% 5.32/4.84 (always3(s168)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4058, 29785])).
% 5.32/4.84 tff(29787,plain,
% 5.32/4.84 (always3(s169)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4046, 29786])).
% 5.32/4.84 tff(29788,plain,
% 5.32/4.84 (always3(s170)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4034, 29787])).
% 5.32/4.84 tff(29789,plain,
% 5.32/4.84 (always3(s171)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4022, 29788])).
% 5.32/4.84 tff(29790,plain,
% 5.32/4.84 (always3(s172)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4010, 29789])).
% 5.32/4.84 tff(29791,plain,
% 5.32/4.84 (always3(s173)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[3998, 29790])).
% 5.32/4.84 tff(29792,plain,
% 5.32/4.84 (always3(s174)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[3986, 29791])).
% 5.32/4.84 tff(29793,plain,
% 5.32/4.84 (always3(s175)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[3973, 29792])).
% 5.32/4.84 tff(29794,plain,
% 5.32/4.84 (always3(s176)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[3961, 29793])).
% 5.32/4.84 tff(29795,plain,
% 5.32/4.84 (always3(s177)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[3949, 29794])).
% 5.32/4.84 tff(29796,plain,
% 5.32/4.84 (always3(s178)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[3937, 29795])).
% 5.32/4.84 tff(29797,plain,
% 5.32/4.84 (always3(s179)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[3925, 29796])).
% 5.32/4.84 tff(29798,plain,
% 5.32/4.84 (always3(s180)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[3913, 29797])).
% 5.32/4.84 tff(29799,plain,
% 5.32/4.84 (always3(s181)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[3901, 29798])).
% 5.32/4.84 tff(29800,plain,
% 5.32/4.84 (~m_main_v_state(s181, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23041, 145, 29799])).
% 5.32/4.84 tff(29801,plain,
% 5.32/4.84 (~m_main_v_state(s180, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23086, 145, 29798])).
% 5.32/4.84 tff(29802,plain,
% 5.32/4.84 (m_main_v_state(s180, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23090, 188, 29801])).
% 5.32/4.84 tff(29803,plain,
% 5.32/4.84 (~m_main_v_request(s180)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23079, 29802, 29800])).
% 5.32/4.84 tff(29804,plain,
% 5.32/4.84 (~node4(s180)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23070, 63, 29803])).
% 5.32/4.84 tff(29805,plain,
% 5.32/4.84 (always3(s182)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[3885, 29799])).
% 5.32/4.84 tff(29806,plain,
% 5.32/4.84 (~m_main_v_state(s182, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8159, 145, 29805])).
% 5.32/4.84 tff(29807,plain,
% 5.32/4.84 (m_main_v_state(s181, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23045, 188, 29800])).
% 5.32/4.84 tff(29808,plain,
% 5.32/4.84 (~m_main_v_request(s181)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23054, 29807, 29806])).
% 5.32/4.84 tff(29809,plain,
% 5.32/4.84 (~node4(s181)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23058, 63, 29808])).
% 5.32/4.84 tff(29810,plain,
% 5.32/4.84 (always3(s183)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[3873, 29805])).
% 5.32/4.84 tff(29811,plain,
% 5.32/4.84 (always3(s184)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[3857, 29810])).
% 5.32/4.84 tff(29812,plain,
% 5.32/4.84 (~m_main_v_state(s184, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8570, 145, 29811])).
% 5.32/4.84 tff(29813,plain,
% 5.32/4.84 (~m_main_v_state(s183, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8143, 145, 29810])).
% 5.32/4.84 tff(29814,plain,
% 5.32/4.84 (m_main_v_state(s182, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23834, 29806])).
% 5.32/4.84 tff(29815,plain,
% 5.32/4.84 (m_main_v_state(s183, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23852, 29814, 29813])).
% 5.32/4.84 tff(29816,plain,
% 5.32/4.84 (~m_main_v_request(s183)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23248, 29815, 29812])).
% 5.32/4.84 tff(29817,plain,
% 5.32/4.84 (~node4(s183)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23239, 63, 29816])).
% 5.32/4.84 tff(29818,plain,
% 5.32/4.84 (~until2p7(s183)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[28409, 29817])).
% 5.32/4.84 tff(29819,plain,
% 5.32/4.84 (~xuntil2p8(s182)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8595, 29818])).
% 5.32/4.84 tff(29820,plain,
% 5.32/4.84 (~until2p7(s182)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8600, 29819])).
% 5.32/4.84 tff(29821,plain,
% 5.32/4.84 (~xuntil2p8(s181)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8605, 29820])).
% 5.32/4.84 tff(29822,plain,
% 5.32/4.84 (~until2p7(s181)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8609, 8293, 29821, 29809])).
% 5.32/4.84 tff(29823,plain,
% 5.32/4.84 (~xuntil2p8(s180)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8615, 29822])).
% 5.32/4.84 tff(29824,plain,
% 5.32/4.84 (~until2p7(s180)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8620, 8293, 29823, 29804])).
% 5.32/4.84 tff(29825,plain,
% 5.32/4.84 (~xuntil2p8(s179)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8626, 29824])).
% 5.32/4.84 tff(29826,plain,
% 5.32/4.84 (~m_main_v_state(s179, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8651, 145, 29797])).
% 5.32/4.84 tff(29827,plain,
% 5.32/4.84 (m_main_v_state(s179, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23199, 188, 29826])).
% 5.32/4.84 tff(29828,plain,
% 5.32/4.84 (~m_main_v_request(s179)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23178, 29827, 29801])).
% 5.32/4.84 tff(29829,plain,
% 5.32/4.84 (~node4(s179)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23167, 63, 29828])).
% 5.32/4.84 tff(29830,plain,
% 5.32/4.84 (xuntil2p8(s179) | (~until2p7(s179))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8631, 8293, 29829])).
% 5.32/4.84 tff(29831,plain,
% 5.32/4.84 (~until2p7(s179)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29830, 29825])).
% 5.32/4.84 tff(29832,plain,
% 5.32/4.84 (~xuntil2p8(s178)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8637, 29831])).
% 5.32/4.84 tff(29833,plain,
% 5.32/4.84 (~until2p7(s178)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8677, 29832])).
% 5.32/4.84 tff(29834,plain,
% 5.32/4.84 (~xuntil2p8(s177)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8682, 29833])).
% 5.32/4.84 tff(29835,plain,
% 5.32/4.84 (~until2p7(s177)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8716, 29834])).
% 5.32/4.84 tff(29836,plain,
% 5.32/4.84 (~xuntil2p8(s176)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8721, 29835])).
% 5.32/4.84 tff(29837,plain,
% 5.32/4.84 (~m_main_v_state(s177, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8706, 145, 29795])).
% 5.32/4.84 tff(29838,plain,
% 5.32/4.84 (~m_main_v_state(s176, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23111, 145, 29794])).
% 5.32/4.84 tff(29839,plain,
% 5.32/4.84 (m_main_v_state(s176, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23117, 188, 29838])).
% 5.32/4.84 tff(29840,plain,
% 5.32/4.84 (~m_main_v_request(s176)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23126, 29839, 29837])).
% 5.32/4.84 tff(29841,plain,
% 5.32/4.84 (~node4(s176)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23130, 63, 29840])).
% 5.32/4.84 tff(29842,plain,
% 5.32/4.84 (xuntil2p8(s176) | (~until2p7(s176))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8726, 8293, 29841])).
% 5.32/4.84 tff(29843,plain,
% 5.32/4.84 (~until2p7(s176)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29842, 29836])).
% 5.32/4.84 tff(29844,plain,
% 5.32/4.84 (~xuntil2p8(s175)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8732, 29843])).
% 5.32/4.84 tff(29845,plain,
% 5.32/4.84 (~m_main_v_state(s175, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22998, 145, 29793])).
% 5.32/4.84 tff(29846,plain,
% 5.32/4.84 (m_main_v_state(s175, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23152, 188, 29845])).
% 5.32/4.84 tff(29847,plain,
% 5.32/4.84 (~m_main_v_request(s175)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23146, 29846, 29838])).
% 5.32/4.84 tff(29848,plain,
% 5.32/4.84 (~node4(s175)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23137, 63, 29847])).
% 5.32/4.84 tff(29849,plain,
% 5.32/4.84 (xuntil2p8(s175) | (~until2p7(s175))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8737, 8293, 29848])).
% 5.32/4.84 tff(29850,plain,
% 5.32/4.84 (~until2p7(s175)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29849, 29844])).
% 5.32/4.84 tff(29851,plain,
% 5.32/4.84 (~xuntil2p8(s174)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8743, 29850])).
% 5.32/4.84 tff(29852,plain,
% 5.32/4.84 (~m_main_v_state(s174, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22810, 145, 29792])).
% 5.32/4.84 tff(29853,plain,
% 5.32/4.84 (m_main_v_state(s174, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23019, 188, 29852])).
% 5.32/4.84 tff(29854,plain,
% 5.32/4.84 (~m_main_v_request(s174)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23014, 29853, 29845])).
% 5.32/4.84 tff(29855,plain,
% 5.32/4.84 (~node4(s174)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23005, 63, 29854])).
% 5.32/4.84 tff(29856,plain,
% 5.32/4.84 (xuntil2p8(s174) | (~until2p7(s174))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8748, 8293, 29855])).
% 5.32/4.84 tff(29857,plain,
% 5.32/4.84 (~until2p7(s174)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29856, 29851])).
% 5.32/4.84 tff(29858,plain,
% 5.32/4.84 (~xuntil2p8(s173)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8754, 29857])).
% 5.32/4.84 tff(29859,plain,
% 5.32/4.84 (~m_main_v_state(s173, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22801, 145, 29791])).
% 5.32/4.84 tff(29860,plain,
% 5.32/4.84 (m_main_v_state(s173, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23919, 29859])).
% 5.32/4.84 tff(29861,plain,
% 5.32/4.84 (~m_main_v_request(s173)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22826, 29860, 29852])).
% 5.32/4.84 tff(29862,plain,
% 5.32/4.84 (~node4(s173)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22817, 63, 29861])).
% 5.32/4.84 tff(29863,plain,
% 5.32/4.84 (xuntil2p8(s173) | (~until2p7(s173))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8760, 8293, 29862])).
% 5.32/4.84 tff(29864,plain,
% 5.32/4.84 (~until2p7(s173)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29863, 29858])).
% 5.32/4.84 tff(29865,plain,
% 5.32/4.84 (~xuntil2p8(s172)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8766, 29864])).
% 5.32/4.84 tff(29866,plain,
% 5.32/4.84 (~m_main_v_state(s172, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22880, 145, 29790])).
% 5.32/4.84 tff(29867,plain,
% 5.32/4.84 (m_main_v_state(s172, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22948, 188, 29866])).
% 5.32/4.84 tff(29868,plain,
% 5.32/4.84 (~m_main_v_request(s172)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22942, 29867, 29859])).
% 5.32/4.84 tff(29869,plain,
% 5.32/4.84 (~node4(s172)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22933, 63, 29868])).
% 5.32/4.84 tff(29870,plain,
% 5.32/4.84 (xuntil2p8(s172) | (~until2p7(s172))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8772, 8293, 29869])).
% 5.32/4.84 tff(29871,plain,
% 5.32/4.84 (~until2p7(s172)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29870, 29865])).
% 5.32/4.84 tff(29872,plain,
% 5.32/4.84 (~xuntil2p8(s171)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8778, 29871])).
% 5.32/4.84 tff(29873,plain,
% 5.32/4.84 (~m_main_v_state(s171, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22872, 145, 29789])).
% 5.32/4.84 tff(29874,plain,
% 5.32/4.84 (m_main_v_state(s171, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22884, 188, 29873])).
% 5.32/4.84 tff(29875,plain,
% 5.32/4.84 (~m_main_v_request(s171)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22893, 29874, 29866])).
% 5.32/4.84 tff(29876,plain,
% 5.32/4.84 (~node4(s171)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22897, 63, 29875])).
% 5.32/4.84 tff(29877,plain,
% 5.32/4.84 (xuntil2p8(s171) | (~until2p7(s171))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8784, 8293, 29876])).
% 5.32/4.84 tff(29878,plain,
% 5.32/4.84 (~until2p7(s171)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29877, 29872])).
% 5.32/4.84 tff(29879,plain,
% 5.32/4.84 (~xuntil2p8(s170)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8790, 29878])).
% 5.32/4.84 tff(29880,plain,
% 5.32/4.84 (~m_main_v_state(s170, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22921, 145, 29788])).
% 5.32/4.84 tff(29881,plain,
% 5.32/4.84 (m_main_v_state(s170, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22925, 188, 29880])).
% 5.32/4.84 tff(29882,plain,
% 5.32/4.84 (~m_main_v_request(s170)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22913, 29881, 29873])).
% 5.32/4.84 tff(29883,plain,
% 5.32/4.84 (~node4(s170)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22904, 63, 29882])).
% 5.32/4.84 tff(29884,plain,
% 5.32/4.84 (xuntil2p8(s170) | (~until2p7(s170))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8796, 8293, 29883])).
% 5.32/4.84 tff(29885,plain,
% 5.32/4.84 (~until2p7(s170)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29884, 29879])).
% 5.32/4.84 tff(29886,plain,
% 5.32/4.84 (~xuntil2p8(s169)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8802, 29885])).
% 5.32/4.84 tff(29887,plain,
% 5.32/4.84 (~m_main_v_state(s169, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8828, 145, 29787])).
% 5.32/4.84 tff(29888,plain,
% 5.32/4.84 (m_main_v_state(s169, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23951, 29887])).
% 5.32/4.84 tff(29889,plain,
% 5.32/4.84 (~m_main_v_request(s169)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22966, 29888, 29880])).
% 5.32/4.84 tff(29890,plain,
% 5.32/4.84 (~node4(s169)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22970, 63, 29889])).
% 5.32/4.84 tff(29891,plain,
% 5.32/4.84 (xuntil2p8(s169) | (~until2p7(s169))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8808, 8293, 29890])).
% 5.32/4.84 tff(29892,plain,
% 5.32/4.84 (~until2p7(s169)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29891, 29886])).
% 5.32/4.84 tff(29893,plain,
% 5.32/4.84 (~xuntil2p8(s168)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8814, 29892])).
% 5.32/4.84 tff(29894,plain,
% 5.32/4.84 (~until2p7(s168)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8854, 29893])).
% 5.32/4.84 tff(29895,plain,
% 5.32/4.84 (~xuntil2p8(s167)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8859, 29894])).
% 5.32/4.84 tff(29896,plain,
% 5.32/4.84 (~m_main_v_state(s168, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8844, 145, 29786])).
% 5.32/4.84 tff(29897,plain,
% 5.32/4.84 (~m_main_v_state(s167, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8886, 145, 29785])).
% 5.32/4.84 tff(29898,plain,
% 5.32/4.84 (m_main_v_state(s167, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23981, 29897])).
% 5.32/4.84 tff(29899,plain,
% 5.32/4.84 (~m_main_v_request(s167)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22436, 29898, 29896])).
% 5.32/4.84 tff(29900,plain,
% 5.32/4.84 (~node4(s167)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22427, 63, 29899])).
% 5.32/4.84 tff(29901,plain,
% 5.32/4.84 (xuntil2p8(s167) | (~until2p7(s167))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8866, 8293, 29900])).
% 5.32/4.84 tff(29902,plain,
% 5.32/4.84 (~until2p7(s167)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29901, 29895])).
% 5.32/4.84 tff(29903,plain,
% 5.32/4.84 (~xuntil2p8(s166)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8872, 29902])).
% 5.32/4.84 tff(29904,plain,
% 5.32/4.84 (~until2p7(s166)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8912, 29903])).
% 5.32/4.84 tff(29905,plain,
% 5.32/4.84 (~xuntil2p8(s165)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8917, 29904])).
% 5.32/4.84 tff(29906,plain,
% 5.32/4.84 (~until2p7(s165)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8951, 29905])).
% 5.32/4.84 tff(29907,plain,
% 5.32/4.84 (~xuntil2p8(s164)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8956, 29906])).
% 5.32/4.84 tff(29908,plain,
% 5.32/4.84 (~until2p7(s164)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8990, 29907])).
% 5.32/4.84 tff(29909,plain,
% 5.32/4.84 (~xuntil2p8(s163)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8995, 29908])).
% 5.32/4.84 tff(29910,plain,
% 5.32/4.84 (~m_main_v_state(s164, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[8980, 145, 29782])).
% 5.32/4.84 tff(29911,plain,
% 5.32/4.84 (~m_main_v_state(s163, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4567, 145, 29781])).
% 5.32/4.84 tff(29912,plain,
% 5.32/4.84 (m_main_v_state(s163, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22391, 188, 29911])).
% 5.32/4.84 tff(29913,plain,
% 5.32/4.84 (~m_main_v_request(s163)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22386, 29912, 29910])).
% 5.32/4.84 tff(29914,plain,
% 5.32/4.84 (~node4(s163)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[22377, 63, 29913])).
% 5.32/4.84 tff(29915,plain,
% 5.32/4.84 (xuntil2p8(s163) | (~until2p7(s163))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9004, 8293, 29914])).
% 5.32/4.84 tff(29916,plain,
% 5.32/4.84 (~until2p7(s163)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29915, 29909])).
% 5.32/4.84 tff(29917,plain,
% 5.32/4.84 (~xuntil2p8(s162)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9010, 29916])).
% 5.32/4.84 tff(29918,plain,
% 5.32/4.84 (~until2p7(s162)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9015, 29917])).
% 5.32/4.84 tff(29919,plain,
% 5.32/4.84 (~xuntil2p8(s161)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9020, 29918])).
% 5.32/4.84 tff(29920,plain,
% 5.32/4.84 (~m_main_v_state(s162, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[4583, 145, 29780])).
% 5.32/4.84 tff(29921,plain,
% 5.32/4.84 (~m_main_v_state(s161, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9047, 145, 29779])).
% 5.32/4.84 tff(29922,plain,
% 5.32/4.84 (m_main_v_state(s161, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21448, 188, 29921])).
% 5.32/4.84 tff(29923,plain,
% 5.32/4.84 (~m_main_v_request(s161)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21457, 29922, 29920])).
% 5.32/4.84 tff(29924,plain,
% 5.32/4.84 (~node4(s161)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21461, 63, 29923])).
% 5.32/4.84 tff(29925,plain,
% 5.32/4.84 (xuntil2p8(s161) | (~until2p7(s161))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9027, 8293, 29924])).
% 5.32/4.84 tff(29926,plain,
% 5.32/4.84 (~until2p7(s161)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29925, 29919])).
% 5.32/4.84 tff(29927,plain,
% 5.32/4.84 (~xuntil2p8(s160)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9033, 29926])).
% 5.32/4.84 tff(29928,plain,
% 5.32/4.84 (~until2p7(s160)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9073, 29927])).
% 5.32/4.84 tff(29929,plain,
% 5.32/4.84 (~xuntil2p8(s159)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9078, 29928])).
% 5.32/4.84 tff(29930,plain,
% 5.32/4.84 (~m_main_v_state(s160, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9063, 145, 29778])).
% 5.32/4.84 tff(29931,plain,
% 5.32/4.84 (~m_main_v_state(s159, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21547, 145, 29777])).
% 5.32/4.84 tff(29932,plain,
% 5.32/4.84 (~m_main_v_state(s158, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21560, 145, 29776])).
% 5.32/4.84 tff(29933,plain,
% 5.32/4.84 (m_main_v_state(s158, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21583, 29932])).
% 5.32/4.84 tff(29934,plain,
% 5.32/4.84 (m_main_v_state(s159, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21609, 29933, 29931])).
% 5.32/4.84 tff(29935,plain,
% 5.32/4.84 (~m_main_v_request(s159)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21540, 29934, 29930])).
% 5.32/4.84 tff(29936,plain,
% 5.32/4.84 (~node4(s159)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21510, 63, 29935])).
% 5.32/4.84 tff(29937,plain,
% 5.32/4.84 (xuntil2p8(s159) | (~until2p7(s159))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9085, 8293, 29936])).
% 5.32/4.84 tff(29938,plain,
% 5.32/4.84 (~until2p7(s159)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29937, 29929])).
% 5.32/4.84 tff(29939,plain,
% 5.32/4.84 (~xuntil2p8(s158)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9091, 29938])).
% 5.32/4.84 tff(29940,plain,
% 5.32/4.84 (~node4(s158)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21625, 29931])).
% 5.32/4.84 tff(29941,plain,
% 5.32/4.84 (xuntil2p8(s158) | (~until2p7(s158))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9097, 8293, 29940])).
% 5.32/4.84 tff(29942,plain,
% 5.32/4.84 (~until2p7(s158)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29941, 29939])).
% 5.32/4.84 tff(29943,plain,
% 5.32/4.84 (~xuntil2p8(s157)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9103, 29942])).
% 5.32/4.84 tff(29944,plain,
% 5.32/4.84 (~m_main_v_state(s157, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21636, 145, 29775])).
% 5.32/4.84 tff(29945,plain,
% 5.32/4.84 (m_main_v_state(s157, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21640, 188, 29944])).
% 5.32/4.84 tff(29946,plain,
% 5.32/4.84 (~m_main_v_request(s157)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21649, 29945, 29932])).
% 5.32/4.84 tff(29947,plain,
% 5.32/4.84 (~node4(s157)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21653, 63, 29946])).
% 5.32/4.84 tff(29948,plain,
% 5.32/4.84 (xuntil2p8(s157) | (~until2p7(s157))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9109, 8293, 29947])).
% 5.32/4.84 tff(29949,plain,
% 5.32/4.84 (~until2p7(s157)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29948, 29943])).
% 5.32/4.84 tff(29950,plain,
% 5.32/4.84 (~xuntil2p8(s156)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9115, 29949])).
% 5.32/4.84 tff(29951,plain,
% 5.32/4.84 (~m_main_v_state(s156, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21663, 145, 29774])).
% 5.32/4.84 tff(29952,plain,
% 5.32/4.84 (m_main_v_state(s156, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21667, 188, 29951])).
% 5.32/4.84 tff(29953,plain,
% 5.32/4.84 (~m_main_v_request(s156)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21751, 29952, 29944])).
% 5.32/4.84 tff(29954,plain,
% 5.32/4.84 (~node4(s156)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21742, 63, 29953])).
% 5.32/4.84 tff(29955,plain,
% 5.32/4.84 (xuntil2p8(s156) | (~until2p7(s156))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9121, 8293, 29954])).
% 5.32/4.84 tff(29956,plain,
% 5.32/4.84 (~until2p7(s156)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29955, 29950])).
% 5.32/4.84 tff(29957,plain,
% 5.32/4.84 (~xuntil2p8(s155)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9127, 29956])).
% 5.32/4.84 tff(29958,plain,
% 5.32/4.84 (~m_main_v_state(s155, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21693, 145, 29773])).
% 5.32/4.84 tff(29959,plain,
% 5.32/4.84 (m_main_v_state(s155, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21698, 188, 29958])).
% 5.32/4.84 tff(29960,plain,
% 5.32/4.84 (~m_main_v_request(s155)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21707, 29959, 29951])).
% 5.32/4.84 tff(29961,plain,
% 5.32/4.84 (~node4(s155)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21711, 63, 29960])).
% 5.32/4.84 tff(29962,plain,
% 5.32/4.84 (xuntil2p8(s155) | (~until2p7(s155))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9133, 8293, 29961])).
% 5.32/4.84 tff(29963,plain,
% 5.32/4.84 (~until2p7(s155)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29962, 29957])).
% 5.32/4.84 tff(29964,plain,
% 5.32/4.84 (~xuntil2p8(s154)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9139, 29963])).
% 5.32/4.84 tff(29965,plain,
% 5.32/4.84 (~m_main_v_state(s154, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9165, 145, 29772])).
% 5.32/4.84 tff(29966,plain,
% 5.32/4.84 (m_main_v_state(s154, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21733, 188, 29965])).
% 5.32/4.84 tff(29967,plain,
% 5.32/4.84 (~m_main_v_request(s154)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21727, 29966, 29958])).
% 5.32/4.84 tff(29968,plain,
% 5.32/4.84 (~node4(s154)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21718, 63, 29967])).
% 5.32/4.84 tff(29969,plain,
% 5.32/4.84 (xuntil2p8(s154) | (~until2p7(s154))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9145, 8293, 29968])).
% 5.32/4.84 tff(29970,plain,
% 5.32/4.84 (~until2p7(s154)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29969, 29964])).
% 5.32/4.84 tff(29971,plain,
% 5.32/4.84 (~xuntil2p8(s153)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9151, 29970])).
% 5.32/4.84 tff(29972,plain,
% 5.32/4.84 (~until2p7(s153)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9191, 29971])).
% 5.32/4.84 tff(29973,plain,
% 5.32/4.84 (~xuntil2p8(s152)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9196, 29972])).
% 5.32/4.84 tff(29974,plain,
% 5.32/4.84 (~until2p7(s152)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9230, 29973])).
% 5.32/4.84 tff(29975,plain,
% 5.32/4.84 (~xuntil2p8(s151)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9235, 29974])).
% 5.32/4.84 tff(29976,plain,
% 5.32/4.84 (~m_main_v_state(s152, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9220, 145, 29770])).
% 5.32/4.84 tff(29977,plain,
% 5.32/4.84 (~m_main_v_state(s151, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21839, 145, 29769])).
% 5.32/4.84 tff(29978,plain,
% 5.32/4.84 (m_main_v_state(s151, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[24065, 29977])).
% 5.32/4.84 tff(29979,plain,
% 5.32/4.84 (~m_main_v_request(s151)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21852, 29978, 29976])).
% 5.32/4.84 tff(29980,plain,
% 5.32/4.84 (~node4(s151)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21856, 63, 29979])).
% 5.32/4.84 tff(29981,plain,
% 5.32/4.84 (xuntil2p8(s151) | (~until2p7(s151))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9243, 8293, 29980])).
% 5.32/4.84 tff(29982,plain,
% 5.32/4.84 (~until2p7(s151)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29981, 29975])).
% 5.32/4.84 tff(29983,plain,
% 5.32/4.84 (~xuntil2p8(s150)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9249, 29982])).
% 5.32/4.84 tff(29984,plain,
% 5.32/4.84 (~m_main_v_state(s150, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21867, 145, 29768])).
% 5.32/4.84 tff(29985,plain,
% 5.32/4.84 (m_main_v_state(s150, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21891, 188, 29984])).
% 5.32/4.84 tff(29986,plain,
% 5.32/4.84 (~m_main_v_request(s150)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21886, 29985, 29977])).
% 5.32/4.84 tff(29987,plain,
% 5.32/4.84 (~node4(s150)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21877, 63, 29986])).
% 5.32/4.84 tff(29988,plain,
% 5.32/4.84 (xuntil2p8(s150) | (~until2p7(s150))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9255, 8293, 29987])).
% 5.32/4.84 tff(29989,plain,
% 5.32/4.84 (~until2p7(s150)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29988, 29983])).
% 5.32/4.84 tff(29990,plain,
% 5.32/4.84 (~xuntil2p8(s149)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9261, 29989])).
% 5.32/4.84 tff(29991,plain,
% 5.32/4.84 (~m_main_v_state(s149, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9287, 145, 29767])).
% 5.32/4.84 tff(29992,plain,
% 5.32/4.84 (m_main_v_state(s149, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[24102, 29991])).
% 5.32/4.84 tff(29993,plain,
% 5.32/4.84 (~m_main_v_request(s149)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21912, 29992, 29984])).
% 5.32/4.84 tff(29994,plain,
% 5.32/4.84 (~node4(s149)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21903, 63, 29993])).
% 5.32/4.84 tff(29995,plain,
% 5.32/4.84 (xuntil2p8(s149) | (~until2p7(s149))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9267, 8293, 29994])).
% 5.32/4.84 tff(29996,plain,
% 5.32/4.84 (~until2p7(s149)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[29995, 29990])).
% 5.32/4.84 tff(29997,plain,
% 5.32/4.84 (~xuntil2p8(s148)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9273, 29996])).
% 5.32/4.84 tff(29998,plain,
% 5.32/4.84 (~until2p7(s148)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9313, 29997])).
% 5.32/4.84 tff(29999,plain,
% 5.32/4.84 (~xuntil2p8(s147)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9318, 29998])).
% 5.32/4.84 tff(30000,plain,
% 5.32/4.84 (~until2p7(s147)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23778, 29999])).
% 5.32/4.84 tff(30001,plain,
% 5.32/4.84 (~xuntil2p8(s146)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9331, 30000])).
% 5.32/4.84 tff(30002,plain,
% 5.32/4.84 (~until2p7(s146)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9336, 30001])).
% 5.32/4.84 tff(30003,plain,
% 5.32/4.84 (~xuntil2p8(s145)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9341, 30002])).
% 5.32/4.84 tff(30004,plain,
% 5.32/4.84 (~until2p7(s145)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23773, 30003])).
% 5.32/4.84 tff(30005,plain,
% 5.32/4.84 (~xuntil2p8(s144)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9354, 30004])).
% 5.32/4.84 tff(30006,plain,
% 5.32/4.84 (~m_main_v_state(s145, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20984, 145, 29763])).
% 5.32/4.84 tff(30007,plain,
% 5.32/4.84 (~m_main_v_state(s144, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20976, 145, 29762])).
% 5.32/4.84 tff(30008,plain,
% 5.32/4.84 (m_main_v_state(s144, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23737, 30007])).
% 5.32/4.84 tff(30009,plain,
% 5.32/4.84 (~m_main_v_request(s144)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20997, 30008, 30006])).
% 5.32/4.84 tff(30010,plain,
% 5.32/4.84 (~node4(s144)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21001, 63, 30009])).
% 5.32/4.84 tff(30011,plain,
% 5.32/4.84 (xuntil2p8(s144) | (~until2p7(s144))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9360, 8293, 30010])).
% 5.32/4.84 tff(30012,plain,
% 5.32/4.84 (~until2p7(s144)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[30011, 30005])).
% 5.32/4.84 tff(30013,plain,
% 5.32/4.84 (~xuntil2p8(s143)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9366, 30012])).
% 5.32/4.84 tff(30014,plain,
% 5.32/4.84 (~m_main_v_state(s143, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20908, 145, 29761])).
% 5.32/4.84 tff(30015,plain,
% 5.32/4.84 (~node1(s142)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23717, 30014])).
% 5.32/4.84 tff(30016,plain,
% 5.32/4.84 (m_main_v_state(s143, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23725, 30014, 30015])).
% 5.32/4.84 tff(30017,plain,
% 5.32/4.84 (~m_main_v_request(s143)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21017, 30016, 30007])).
% 5.32/4.84 tff(30018,plain,
% 5.32/4.84 (~node4(s143)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[21008, 63, 30017])).
% 5.32/4.84 tff(30019,plain,
% 5.32/4.84 (xuntil2p8(s143) | (~until2p7(s143))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9372, 8293, 30018])).
% 5.32/4.84 tff(30020,plain,
% 5.32/4.84 (~until2p7(s143)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[30019, 30013])).
% 5.32/4.84 tff(30021,plain,
% 5.32/4.84 (~xuntil2p8(s142)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9378, 30020])).
% 5.32/4.84 tff(30022,plain,
% 5.32/4.84 (~m_main_v_state(s142, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20931, 145, 29760])).
% 5.32/4.84 tff(30023,plain,
% 5.32/4.84 (m_main_v_state(s142, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20935, 188, 30022])).
% 5.32/4.84 tff(30024,plain,
% 5.32/4.84 (~m_main_v_request(s142)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20924, 30023, 30014])).
% 5.32/4.84 tff(30025,plain,
% 5.32/4.84 (~node4(s142)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20915, 63, 30024])).
% 5.32/4.84 tff(30026,plain,
% 5.32/4.84 (xuntil2p8(s142) | (~until2p7(s142))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9384, 8293, 30025])).
% 5.32/4.84 tff(30027,plain,
% 5.32/4.84 (~until2p7(s142)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[30026, 30021])).
% 5.32/4.84 tff(30028,plain,
% 5.32/4.84 (~xuntil2p8(s141)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9390, 30027])).
% 5.32/4.84 tff(30029,plain,
% 5.32/4.84 (~node4(s141)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20964, 30022])).
% 5.32/4.84 tff(30030,plain,
% 5.32/4.84 (xuntil2p8(s141) | (~until2p7(s141))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9396, 8293, 30029])).
% 5.32/4.84 tff(30031,plain,
% 5.32/4.84 (~until2p7(s141)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[30030, 30028])).
% 5.32/4.84 tff(30032,plain,
% 5.32/4.84 (~xuntil2p8(s140)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9402, 30031])).
% 5.32/4.84 tff(30033,plain,
% 5.32/4.84 (~m_main_v_state(s140, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20534, 145, 29758])).
% 5.32/4.84 tff(30034,plain,
% 5.32/4.84 (m_main_v_state(s140, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[23681, 30033])).
% 5.32/4.84 tff(30035,plain,
% 5.32/4.84 (~m_main_v_state(s141, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20511, 145, 29759])).
% 5.32/4.84 tff(30036,plain,
% 5.32/4.84 (~m_main_v_request(s140)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20527, 30035, 30034])).
% 5.32/4.84 tff(30037,plain,
% 5.32/4.84 (~node4(s140)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20518, 63, 30036])).
% 5.32/4.84 tff(30038,plain,
% 5.32/4.84 (xuntil2p8(s140) | (~until2p7(s140))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9408, 8293, 30037])).
% 5.32/4.84 tff(30039,plain,
% 5.32/4.84 (~until2p7(s140)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[30038, 30032])).
% 5.32/4.84 tff(30040,plain,
% 5.32/4.84 (~xuntil2p8(s139)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9414, 30039])).
% 5.32/4.84 tff(30041,plain,
% 5.32/4.84 (~m_main_v_state(s139, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20560, 145, 29757])).
% 5.32/4.84 tff(30042,plain,
% 5.32/4.84 (m_main_v_state(s139, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20565, 188, 30041])).
% 5.32/4.84 tff(30043,plain,
% 5.32/4.84 (~m_main_v_request(s139)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20574, 30042, 30033])).
% 5.32/4.84 tff(30044,plain,
% 5.32/4.84 (~node4(s139)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20578, 63, 30043])).
% 5.32/4.84 tff(30045,plain,
% 5.32/4.84 (xuntil2p8(s139) | (~until2p7(s139))),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9420, 8293, 30044])).
% 5.32/4.84 tff(30046,plain,
% 5.32/4.84 (~until2p7(s139)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[30045, 30040])).
% 5.32/4.84 tff(30047,plain,
% 5.32/4.84 (~xuntil2p8(s138)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[9426, 30046])).
% 5.32/4.84 tff(30048,plain,
% 5.32/4.84 (~m_main_v_state(s138, c_busy)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20127, 145, 29756])).
% 5.32/4.84 tff(30049,plain,
% 5.32/4.84 (m_main_v_state(s138, c_ready)),
% 5.32/4.84 inference(unit_resolution,[status(thm)],[20600, 188, 30048])).
% 5.32/4.84 tff(30050,plain,
% 5.32/4.84 (~m_main_v_request(s138)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20594, 30049, 30041])).
% 5.32/4.85 tff(30051,plain,
% 5.32/4.85 (~node4(s138)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20585, 63, 30050])).
% 5.32/4.85 tff(30052,plain,
% 5.32/4.85 (xuntil2p8(s138) | (~until2p7(s138))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9432, 8293, 30051])).
% 5.32/4.85 tff(30053,plain,
% 5.32/4.85 (~until2p7(s138)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30052, 30047])).
% 5.32/4.85 tff(30054,plain,
% 5.32/4.85 (~xuntil2p8(s137)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9438, 30053])).
% 5.32/4.85 tff(30055,plain,
% 5.32/4.85 (~m_main_v_state(s137, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20134, 145, 29755])).
% 5.32/4.85 tff(30056,plain,
% 5.32/4.85 (m_main_v_state(s137, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20138, 188, 30055])).
% 5.32/4.85 tff(30057,plain,
% 5.32/4.85 (~m_main_v_request(s137)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20215, 30056, 30048])).
% 5.32/4.85 tff(30058,plain,
% 5.32/4.85 (~node4(s137)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20206, 63, 30057])).
% 5.32/4.85 tff(30059,plain,
% 5.32/4.85 (xuntil2p8(s137) | (~until2p7(s137))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9444, 8293, 30058])).
% 5.32/4.85 tff(30060,plain,
% 5.32/4.85 (~until2p7(s137)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30059, 30054])).
% 5.32/4.85 tff(30061,plain,
% 5.32/4.85 (~xuntil2p8(s136)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9450, 30060])).
% 5.32/4.85 tff(30062,plain,
% 5.32/4.85 (~m_main_v_state(s136, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20158, 145, 29754])).
% 5.32/4.85 tff(30063,plain,
% 5.32/4.85 (m_main_v_state(s136, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20163, 188, 30062])).
% 5.32/4.85 tff(30064,plain,
% 5.32/4.85 (~m_main_v_request(s136)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20172, 30063, 30055])).
% 5.32/4.85 tff(30065,plain,
% 5.32/4.85 (~node4(s136)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20176, 63, 30064])).
% 5.32/4.85 tff(30066,plain,
% 5.32/4.85 (xuntil2p8(s136) | (~until2p7(s136))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9456, 8293, 30065])).
% 5.32/4.85 tff(30067,plain,
% 5.32/4.85 (~until2p7(s136)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30066, 30061])).
% 5.32/4.85 tff(30068,plain,
% 5.32/4.85 (~xuntil2p8(s135)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9462, 30067])).
% 5.32/4.85 tff(30069,plain,
% 5.32/4.85 (~m_main_v_state(s135, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19541, 145, 29753])).
% 5.32/4.85 tff(30070,plain,
% 5.32/4.85 (m_main_v_state(s135, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20198, 188, 30069])).
% 5.32/4.85 tff(30071,plain,
% 5.32/4.85 (~m_main_v_request(s135)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20192, 30070, 30062])).
% 5.32/4.85 tff(30072,plain,
% 5.32/4.85 (~node4(s135)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20183, 63, 30071])).
% 5.32/4.85 tff(30073,plain,
% 5.32/4.85 (xuntil2p8(s135) | (~until2p7(s135))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9468, 8293, 30072])).
% 5.32/4.85 tff(30074,plain,
% 5.32/4.85 (~until2p7(s135)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30073, 30068])).
% 5.32/4.85 tff(30075,plain,
% 5.32/4.85 (~xuntil2p8(s134)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9474, 30074])).
% 5.32/4.85 tff(30076,plain,
% 5.32/4.85 (~m_main_v_state(s134, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19548, 145, 29752])).
% 5.32/4.85 tff(30077,plain,
% 5.32/4.85 (m_main_v_state(s134, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19552, 188, 30076])).
% 5.32/4.85 tff(30078,plain,
% 5.32/4.85 (~m_main_v_request(s134)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19561, 30077, 30069])).
% 5.32/4.85 tff(30079,plain,
% 5.32/4.85 (~node4(s134)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19565, 63, 30078])).
% 5.32/4.85 tff(30080,plain,
% 5.32/4.85 (xuntil2p8(s134) | (~until2p7(s134))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9480, 8293, 30079])).
% 5.32/4.85 tff(30081,plain,
% 5.32/4.85 (~until2p7(s134)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30080, 30075])).
% 5.32/4.85 tff(30082,plain,
% 5.32/4.85 (~xuntil2p8(s133)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9486, 30081])).
% 5.32/4.85 tff(30083,plain,
% 5.32/4.85 (~m_main_v_state(s133, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18860, 145, 29751])).
% 5.32/4.85 tff(30084,plain,
% 5.32/4.85 (m_main_v_state(s133, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19822, 188, 30083])).
% 5.32/4.85 tff(30085,plain,
% 5.32/4.85 (~m_main_v_request(s133)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19831, 30084, 30076])).
% 5.32/4.85 tff(30086,plain,
% 5.32/4.85 (~node4(s133)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19835, 63, 30085])).
% 5.32/4.85 tff(30087,plain,
% 5.32/4.85 (xuntil2p8(s133) | (~until2p7(s133))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9492, 8293, 30086])).
% 5.32/4.85 tff(30088,plain,
% 5.32/4.85 (~until2p7(s133)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30087, 30082])).
% 5.32/4.85 tff(30089,plain,
% 5.32/4.85 (~xuntil2p8(s132)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9498, 30088])).
% 5.32/4.85 tff(30090,plain,
% 5.32/4.85 (~m_main_v_state(s132, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18867, 145, 29750])).
% 5.32/4.85 tff(30091,plain,
% 5.32/4.85 (~node1(s131)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23608, 30090])).
% 5.32/4.85 tff(30092,plain,
% 5.32/4.85 (m_main_v_state(s132, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23616, 30091, 30090])).
% 5.32/4.85 tff(30093,plain,
% 5.32/4.85 (~m_main_v_request(s132)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19276, 30092, 30083])).
% 5.32/4.85 tff(30094,plain,
% 5.32/4.85 (~node4(s132)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19267, 63, 30093])).
% 5.32/4.85 tff(30095,plain,
% 5.32/4.85 (xuntil2p8(s132) | (~until2p7(s132))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9504, 8293, 30094])).
% 5.32/4.85 tff(30096,plain,
% 5.32/4.85 (~until2p7(s132)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30095, 30089])).
% 5.32/4.85 tff(30097,plain,
% 5.32/4.85 (~xuntil2p8(s131)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9510, 30096])).
% 5.32/4.85 tff(30098,plain,
% 5.32/4.85 (~m_main_v_state(s131, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18925, 145, 29749])).
% 5.32/4.85 tff(30099,plain,
% 5.32/4.85 (m_main_v_state(s131, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18959, 188, 30098])).
% 5.32/4.85 tff(30100,plain,
% 5.32/4.85 (~m_main_v_request(s131)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18968, 30099, 30090])).
% 5.32/4.85 tff(30101,plain,
% 5.32/4.85 (~node4(s131)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18972, 63, 30100])).
% 5.32/4.85 tff(30102,plain,
% 5.32/4.85 (xuntil2p8(s131) | (~until2p7(s131))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9516, 8293, 30101])).
% 5.32/4.85 tff(30103,plain,
% 5.32/4.85 (~until2p7(s131)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30102, 30097])).
% 5.32/4.85 tff(30104,plain,
% 5.32/4.85 (~xuntil2p8(s130)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9522, 30103])).
% 5.32/4.85 tff(30105,plain,
% 5.32/4.85 (~node4(s130)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18954, 30098])).
% 5.32/4.85 tff(30106,plain,
% 5.32/4.85 (xuntil2p8(s130) | (~until2p7(s130))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9528, 8293, 30105])).
% 5.32/4.85 tff(30107,plain,
% 5.32/4.85 (~until2p7(s130)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30106, 30104])).
% 5.32/4.85 tff(30108,plain,
% 5.32/4.85 (~xuntil2p8(s129)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9534, 30107])).
% 5.32/4.85 tff(30109,plain,
% 5.32/4.85 (~m_main_v_state(s130, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18948, 145, 29748])).
% 5.32/4.85 tff(30110,plain,
% 5.32/4.85 (~m_main_v_state(s129, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19018, 145, 29747])).
% 5.32/4.85 tff(30111,plain,
% 5.32/4.85 (m_main_v_state(s129, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19053, 188, 30110])).
% 5.32/4.85 tff(30112,plain,
% 5.32/4.85 (~m_main_v_request(s129)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19062, 30111, 30109])).
% 5.32/4.85 tff(30113,plain,
% 5.32/4.85 (~node4(s129)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19066, 63, 30112])).
% 5.32/4.85 tff(30114,plain,
% 5.32/4.85 (xuntil2p8(s129) | (~until2p7(s129))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9540, 8293, 30113])).
% 5.32/4.85 tff(30115,plain,
% 5.32/4.85 (~until2p7(s129)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30114, 30108])).
% 5.32/4.85 tff(30116,plain,
% 5.32/4.85 (~xuntil2p8(s128)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9546, 30115])).
% 5.32/4.85 tff(30117,plain,
% 5.32/4.85 (~node4(s128)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19047, 30110])).
% 5.32/4.85 tff(30118,plain,
% 5.32/4.85 (xuntil2p8(s128) | (~until2p7(s128))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9552, 8293, 30117])).
% 5.32/4.85 tff(30119,plain,
% 5.32/4.85 (~until2p7(s128)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30118, 30116])).
% 5.32/4.85 tff(30120,plain,
% 5.32/4.85 (~xuntil2p8(s127)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9558, 30119])).
% 5.32/4.85 tff(30121,plain,
% 5.32/4.85 (~m_main_v_state(s128, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19041, 145, 29746])).
% 5.32/4.85 tff(30122,plain,
% 5.32/4.85 (~m_main_v_state(s127, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19103, 145, 29745])).
% 5.32/4.85 tff(30123,plain,
% 5.32/4.85 (m_main_v_state(s127, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19138, 188, 30122])).
% 5.32/4.85 tff(30124,plain,
% 5.32/4.85 (~m_main_v_request(s127)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19147, 30123, 30121])).
% 5.32/4.85 tff(30125,plain,
% 5.32/4.85 (~node4(s127)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19151, 63, 30124])).
% 5.32/4.85 tff(30126,plain,
% 5.32/4.85 (xuntil2p8(s127) | (~until2p7(s127))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9564, 8293, 30125])).
% 5.32/4.85 tff(30127,plain,
% 5.32/4.85 (~until2p7(s127)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30126, 30120])).
% 5.32/4.85 tff(30128,plain,
% 5.32/4.85 (~xuntil2p8(s126)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9570, 30127])).
% 5.32/4.85 tff(30129,plain,
% 5.32/4.85 (~node4(s126)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19132, 30122])).
% 5.32/4.85 tff(30130,plain,
% 5.32/4.85 (xuntil2p8(s126) | (~until2p7(s126))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9576, 8293, 30129])).
% 5.32/4.85 tff(30131,plain,
% 5.32/4.85 (~until2p7(s126)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30130, 30128])).
% 5.32/4.85 tff(30132,plain,
% 5.32/4.85 (~xuntil2p8(s125)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9582, 30131])).
% 5.32/4.85 tff(30133,plain,
% 5.32/4.85 (~m_main_v_state(s126, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19126, 145, 29744])).
% 5.32/4.85 tff(30134,plain,
% 5.32/4.85 (~m_main_v_state(s125, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19181, 145, 29743])).
% 5.32/4.85 tff(30135,plain,
% 5.32/4.85 (m_main_v_state(s125, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19185, 188, 30134])).
% 5.32/4.85 tff(30136,plain,
% 5.32/4.85 (~m_main_v_request(s125)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19194, 30135, 30133])).
% 5.32/4.85 tff(30137,plain,
% 5.32/4.85 (~node4(s125)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19198, 63, 30136])).
% 5.32/4.85 tff(30138,plain,
% 5.32/4.85 (xuntil2p8(s125) | (~until2p7(s125))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9588, 8293, 30137])).
% 5.32/4.85 tff(30139,plain,
% 5.32/4.85 (~until2p7(s125)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30138, 30132])).
% 5.32/4.85 tff(30140,plain,
% 5.32/4.85 (~xuntil2p8(s124)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9594, 30139])).
% 5.32/4.85 tff(30141,plain,
% 5.32/4.85 (~m_main_v_state(s124, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19219, 145, 29742])).
% 5.32/4.85 tff(30142,plain,
% 5.32/4.85 (m_main_v_state(s124, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19223, 188, 30141])).
% 5.32/4.85 tff(30143,plain,
% 5.32/4.85 (~m_main_v_request(s124)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19232, 30142, 30134])).
% 5.32/4.85 tff(30144,plain,
% 5.32/4.85 (~node4(s124)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19236, 63, 30143])).
% 5.32/4.85 tff(30145,plain,
% 5.32/4.85 (xuntil2p8(s124) | (~until2p7(s124))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9600, 8293, 30144])).
% 5.32/4.85 tff(30146,plain,
% 5.32/4.85 (~until2p7(s124)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30145, 30140])).
% 5.32/4.85 tff(30147,plain,
% 5.32/4.85 (~xuntil2p8(s123)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9606, 30146])).
% 5.32/4.85 tff(30148,plain,
% 5.32/4.85 (~m_main_v_state(s123, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18651, 145, 29741])).
% 5.32/4.85 tff(30149,plain,
% 5.32/4.85 (m_main_v_state(s123, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19259, 188, 30148])).
% 5.32/4.85 tff(30150,plain,
% 5.32/4.85 (~m_main_v_request(s123)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19253, 30149, 30141])).
% 5.32/4.85 tff(30151,plain,
% 5.32/4.85 (~node4(s123)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19244, 63, 30150])).
% 5.32/4.85 tff(30152,plain,
% 5.32/4.85 (xuntil2p8(s123) | (~until2p7(s123))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9612, 8293, 30151])).
% 5.32/4.85 tff(30153,plain,
% 5.32/4.85 (~until2p7(s123)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30152, 30147])).
% 5.32/4.85 tff(30154,plain,
% 5.32/4.85 (~xuntil2p8(s122)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9618, 30153])).
% 5.32/4.85 tff(30155,plain,
% 5.32/4.85 (~m_main_v_state(s122, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18658, 145, 29740])).
% 5.32/4.85 tff(30156,plain,
% 5.32/4.85 (m_main_v_state(s122, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18662, 188, 30155])).
% 5.32/4.85 tff(30157,plain,
% 5.32/4.85 (~m_main_v_request(s122)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18739, 30156, 30148])).
% 5.32/4.85 tff(30158,plain,
% 5.32/4.85 (~node4(s122)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18730, 63, 30157])).
% 5.32/4.85 tff(30159,plain,
% 5.32/4.85 (xuntil2p8(s122) | (~until2p7(s122))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9624, 8293, 30158])).
% 5.32/4.85 tff(30160,plain,
% 5.32/4.85 (~until2p7(s122)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30159, 30154])).
% 5.32/4.85 tff(30161,plain,
% 5.32/4.85 (~xuntil2p8(s121)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9630, 30160])).
% 5.32/4.85 tff(30162,plain,
% 5.32/4.85 (~m_main_v_state(s121, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18682, 145, 29739])).
% 5.32/4.85 tff(30163,plain,
% 5.32/4.85 (m_main_v_state(s121, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18687, 188, 30162])).
% 5.32/4.85 tff(30164,plain,
% 5.32/4.85 (~m_main_v_request(s121)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18696, 30163, 30155])).
% 5.32/4.85 tff(30165,plain,
% 5.32/4.85 (~node4(s121)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18700, 63, 30164])).
% 5.32/4.85 tff(30166,plain,
% 5.32/4.85 (xuntil2p8(s121) | (~until2p7(s121))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9636, 8293, 30165])).
% 5.32/4.85 tff(30167,plain,
% 5.32/4.85 (~until2p7(s121)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30166, 30161])).
% 5.32/4.85 tff(30168,plain,
% 5.32/4.85 (~xuntil2p8(s120)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9642, 30167])).
% 5.32/4.85 tff(30169,plain,
% 5.32/4.85 (~m_main_v_state(s120, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18560, 145, 29738])).
% 5.32/4.85 tff(30170,plain,
% 5.32/4.85 (m_main_v_state(s120, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18722, 188, 30169])).
% 5.32/4.85 tff(30171,plain,
% 5.32/4.85 (~m_main_v_request(s120)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18716, 30170, 30162])).
% 5.32/4.85 tff(30172,plain,
% 5.32/4.85 (~node4(s120)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18707, 63, 30171])).
% 5.32/4.85 tff(30173,plain,
% 5.32/4.85 (xuntil2p8(s120) | (~until2p7(s120))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9648, 8293, 30172])).
% 5.32/4.85 tff(30174,plain,
% 5.32/4.85 (~until2p7(s120)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30173, 30168])).
% 5.32/4.85 tff(30175,plain,
% 5.32/4.85 (~m_main_v_state(s119, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18481, 145, 29737])).
% 5.32/4.85 tff(30176,plain,
% 5.32/4.85 (~node4(s118)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18504, 30175])).
% 5.32/4.85 tff(30177,plain,
% 5.32/4.85 (xuntil6(s118)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18507, 30176])).
% 5.32/4.85 tff(30178,plain,
% 5.32/4.85 (until5(s119)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[7843, 30177])).
% 5.32/4.85 tff(30179,plain,
% 5.32/4.85 (xuntil6(s119)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18583, 30178, 18146])).
% 5.32/4.85 tff(30180,plain,
% 5.32/4.85 (until5(s120)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[7860, 30179])).
% 5.32/4.85 tff(30181,plain,
% 5.32/4.85 (xuntil6(s122)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18741, 30180, 18146])).
% 5.32/4.85 tff(30182,plain,
% 5.32/4.85 (until5(s123)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[7911, 30181])).
% 5.32/4.85 tff(30183,plain,
% 5.32/4.85 (xuntil6(s132)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19278, 30182, 18146])).
% 5.32/4.85 tff(30184,plain,
% 5.32/4.85 (until5(s133)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5287, 30183])).
% 5.32/4.85 tff(30185,plain,
% 5.32/4.85 (xuntil6(s134)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19849, 30182, 18146])).
% 5.32/4.85 tff(30186,plain,
% 5.32/4.85 (until5(s135)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5229, 30185])).
% 5.32/4.85 tff(30187,plain,
% 5.32/4.85 (xuntil6(s137)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20217, 30186])).
% 5.32/4.85 tff(30188,plain,
% 5.32/4.85 (until5(s138)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5142, 30187])).
% 5.32/4.85 tff(30189,plain,
% 5.32/4.85 (xuntil6(s140)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20605, 30188])).
% 5.32/4.85 tff(30190,plain,
% 5.32/4.85 (until5(s141)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5055, 30189])).
% 5.32/4.85 tff(30191,plain,
% 5.32/4.85 (xuntil6(s142)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20967, 30190])).
% 5.32/4.85 tff(30192,plain,
% 5.32/4.85 (until5(s143)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4996, 30191])).
% 5.32/4.85 tff(30193,plain,
% 5.32/4.85 (xuntil6(s144)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[21025, 30192])).
% 5.32/4.85 tff(30194,plain,
% 5.32/4.85 (until5(s145)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4942, 30193])).
% 5.32/4.85 tff(30195,plain,
% 5.32/4.85 (xuntil6(s161)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[22024, 30194, 30184])).
% 5.32/4.85 tff(30196,plain,
% 5.32/4.85 (until5(s162)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4601, 30195])).
% 5.32/4.85 tff(30197,plain,
% 5.32/4.85 (xuntil6(s162)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4596, 30196])).
% 5.32/4.85 tff(30198,plain,
% 5.32/4.85 (until5(s163)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4550, 30197])).
% 5.32/4.85 tff(30199,plain,
% 5.32/4.85 (xuntil6(s163)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[22393, 30198])).
% 5.32/4.85 tff(30200,plain,
% 5.32/4.85 (until5(s164)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4538, 30199])).
% 5.32/4.85 tff(30201,plain,
% 5.32/4.85 (xuntil6(s164)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[22396, 30200])).
% 5.32/4.85 tff(30202,plain,
% 5.32/4.85 (until5(s165)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4468, 30201])).
% 5.32/4.85 tff(30203,plain,
% 5.32/4.85 (xuntil6(s167)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[22443, 30202])).
% 5.32/4.85 tff(30204,plain,
% 5.32/4.85 (until5(s168)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4514, 30203])).
% 5.32/4.85 tff(30205,plain,
% 5.32/4.85 (xuntil6(s168)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[22446, 30204])).
% 5.32/4.85 tff(30206,plain,
% 5.32/4.85 (until5(s169)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4531, 30205])).
% 5.32/4.85 tff(30207,plain,
% 5.32/4.85 (xuntil6(s173)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[22988, 30206, 30200])).
% 5.32/4.85 tff(30208,plain,
% 5.32/4.85 (until5(s174)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4356, 30207])).
% 5.32/4.85 tff(30209,plain,
% 5.32/4.85 (xuntil6(s174)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23021, 30208])).
% 5.32/4.85 tff(30210,plain,
% 5.32/4.85 (until5(s175)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[8003, 30209])).
% 5.32/4.85 tff(30211,plain,
% 5.32/4.85 (xuntil6(s181)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23201, 30210])).
% 5.32/4.85 tff(30212,plain,
% 5.32/4.85 (until5(s182)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[8126, 30211])).
% 5.32/4.85 tff(30213,plain,
% 5.32/4.85 (xuntil6(s182)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[8172, 30212])).
% 5.32/4.85 tff(30214,plain,
% 5.32/4.85 (until5(s183)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[8177, 30213])).
% 5.32/4.85 tff(30215,plain,
% 5.32/4.85 (xuntil6(s183)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23255, 30214])).
% 5.32/4.85 tff(30216,plain,
% 5.32/4.85 (until5(s184)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[8189, 30215])).
% 5.32/4.85 tff(30217,plain,
% 5.32/4.85 (xuntil6(s184)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23258, 30216])).
% 5.32/4.85 tff(30218,plain,
% 5.32/4.85 (until5(s185)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[8244, 30217])).
% 5.32/4.85 tff(30219,plain,
% 5.32/4.85 (xuntil6(s185)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23303, 30218])).
% 5.32/4.85 tff(30220,plain,
% 5.32/4.85 (until5(s186)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[8256, 30219])).
% 5.32/4.85 tff(30221,plain,
% 5.32/4.85 (xuntil6(s186)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23306, 30220])).
% 5.32/4.85 tff(30222,plain,
% 5.32/4.85 (until5(s187)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[8213, 30221])).
% 5.32/4.85 tff(30223,plain,
% 5.32/4.85 (xuntil6(s187)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23348, 30222])).
% 5.32/4.85 tff(30224,plain,
% 5.32/4.85 (until5(s188)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[8263, 30223])).
% 5.32/4.85 tff(30225,plain,
% 5.32/4.85 (xuntil6(s188)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[3796, 30224])).
% 5.32/4.85 tff(30226,plain,
% 5.32/4.85 (until5(s189)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[3742, 30225])).
% 5.32/4.85 tff(30227,plain,
% 5.32/4.85 (xuntil6(s195)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23477, 30226])).
% 5.32/4.85 tff(30228,plain,
% 5.32/4.85 (until5(s196)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[3479, 30227])).
% 5.32/4.85 tff(30229,plain,
% 5.32/4.85 (xuntil6(s196)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[3525, 30228])).
% 5.32/4.85 tff(30230,plain,
% 5.32/4.85 (until5(s197)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[3530, 30229])).
% 5.32/4.85 tff(30231,plain,
% 5.32/4.85 (xuntil6(s197)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23482, 30230])).
% 5.32/4.85 tff(30232,plain,
% 5.32/4.85 (until5(s198)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[3543, 30231])).
% 5.32/4.85 tff(30233,plain,
% 5.32/4.85 (xuntil6(s198)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[3589, 30232])).
% 5.32/4.85 tff(30234,plain,
% 5.32/4.85 (until5(s199)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[3594, 30233])).
% 5.32/4.85 tff(30235,plain,
% 5.32/4.85 (xuntil6(s199)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23489, 30234, 18474])).
% 5.32/4.85 tff(30236,plain,
% 5.32/4.85 (~trans(s199, s188)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[12186, 30235, 24816])).
% 5.32/4.85 tff(30237,plain,
% 5.32/4.85 (~trans(s199, s168)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[13088, 29894, 30235])).
% 5.32/4.85 tff(30238,plain,
% 5.32/4.85 (~trans(s199, s167)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[12967, 29902, 30235])).
% 5.32/4.85 tff(30239,plain,
% 5.32/4.85 (~trans(s199, s192)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[13363, 30235, 24808])).
% 5.32/4.85 tff(30240,plain,
% 5.32/4.85 (~trans(s199, s190)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11383, 30235, 24812])).
% 5.32/4.85 tff(30241,plain,
% 5.32/4.85 (~trans(s199, s182)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11394, 29820, 30235])).
% 5.32/4.85 tff(30242,plain,
% 5.32/4.85 (~trans(s199, s183)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11405, 29818, 30235])).
% 5.32/4.85 tff(30243,plain,
% 5.32/4.85 (~trans(s199, s140)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[28064, 30032, 30235])).
% 5.32/4.85 tff(30244,plain,
% 5.32/4.85 (~trans(s199, s126)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[13187, 30131, 30235])).
% 5.32/4.85 tff(30245,plain,
% 5.32/4.85 (~trans(s199, s148)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11460, 29998, 30235])).
% 5.32/4.85 tff(30246,plain,
% 5.32/4.85 (~trans(s199, s146)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11482, 30002, 30235])).
% 5.32/4.85 tff(30247,plain,
% 5.32/4.85 (~trans(s199, s134)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[28123, 30032, 30235])).
% 5.32/4.85 tff(30248,plain,
% 5.32/4.85 (~trans(s199, s119)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[29483, 30120, 30121, 30235])).
% 5.32/4.85 tff(30249,plain,
% 5.32/4.85 (~trans(s199, s162)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11515, 29918, 30235])).
% 5.32/4.85 tff(30250,plain,
% 5.32/4.85 (~trans(s199, s130)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11537, 30107, 30235])).
% 5.32/4.85 tff(30251,plain,
% 5.32/4.85 (~trans(s199, s149)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[12296, 29996, 30235])).
% 5.32/4.85 tff(30252,plain,
% 5.32/4.85 (~trans(s199, s157)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11867, 29949, 30235])).
% 5.32/4.85 tff(30253,plain,
% 5.32/4.85 (~trans(s199, s169)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[12846, 29892, 30235])).
% 5.32/4.85 tff(30254,plain,
% 5.32/4.85 (~trans(s199, s128)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11658, 30119, 30235])).
% 5.32/4.85 tff(30255,plain,
% 5.32/4.85 (~trans(s199, s159)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11669, 29938, 30235])).
% 5.32/4.85 tff(30256,plain,
% 5.32/4.85 (~trans(s199, s174)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11724, 29857, 30235])).
% 5.32/4.85 tff(30257,plain,
% 5.32/4.85 (~trans(s199, s142)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11735, 30027, 30235])).
% 5.32/4.85 tff(30258,plain,
% 5.32/4.85 (~trans(s199, s187)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11757, 30235, 24818])).
% 5.32/4.85 tff(30259,plain,
% 5.32/4.85 (~trans(s199, s181)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11768, 29822, 30235])).
% 5.32/4.85 tff(30260,plain,
% 5.32/4.85 (~trans(s199, s154)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[13319, 29970, 30235])).
% 5.32/4.85 tff(30261,plain,
% 5.32/4.85 (~trans(s199, s177)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11790, 29835, 30235])).
% 5.32/4.85 tff(30262,plain,
% 5.32/4.85 (~trans(s199, s179)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11801, 29831, 30235])).
% 5.32/4.85 tff(30263,plain,
% 5.32/4.85 (~trans(s199, s180)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11812, 29824, 30235])).
% 5.32/4.85 tff(30264,plain,
% 5.32/4.85 (~trans(s199, s191)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11856, 30235, 24810])).
% 5.32/4.85 tff(30265,plain,
% 5.32/4.85 (~trans(s199, s155)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[27463, 29957, 29951, 30235])).
% 5.32/4.85 tff(30266,plain,
% 5.32/4.85 (~trans(s199, s156)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11779, 29956, 30235])).
% 5.32/4.85 tff(30267,plain,
% 5.32/4.85 (~trans(s199, s150)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[27430, 29950, 29944, 30235])).
% 5.32/4.85 tff(30268,plain,
% 5.32/4.85 (~trans(s199, s153)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[27336, 29943, 30235])).
% 5.32/4.85 tff(30269,plain,
% 5.32/4.85 (~trans(s199, s164)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[26473, 29844, 29838, 30235])).
% 5.32/4.85 tff(30270,plain,
% 5.32/4.85 (~trans(s199, s120)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[29709, 30132, 30133, 30235])).
% 5.32/4.85 tff(30271,plain,
% 5.32/4.85 (~trans(s199, s132)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[12175, 30096, 30235])).
% 5.32/4.85 tff(30272,plain,
% 5.32/4.85 (~trans(s199, s170)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[12494, 29885, 30235])).
% 5.32/4.85 tff(30273,plain,
% 5.32/4.85 (~trans(s199, s158)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[12208, 29942, 30235])).
% 5.32/4.85 tff(30274,plain,
% 5.32/4.85 (~trans(s199, s161)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[27005, 29919, 30235])).
% 5.32/4.85 tff(30275,plain,
% 5.32/4.85 (~trans(s199, s122)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[29389, 30108, 30109, 30235])).
% 5.32/4.85 tff(30276,plain,
% 5.32/4.85 (~trans(s199, s171)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[26780, 29872, 29866, 30235])).
% 5.32/4.85 tff(30277,plain,
% 5.32/4.85 (~trans(s199, s135)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[28192, 30032, 30235])).
% 5.32/4.85 tff(30278,plain,
% 5.32/4.85 (~trans(s199, s137)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[28225, 30032, 30235])).
% 5.32/4.85 tff(30279,plain,
% 5.32/4.85 (~trans(s199, s186)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[12472, 30235, 24820])).
% 5.32/4.85 tff(30280,plain,
% 5.32/4.85 (~trans(s199, s172)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[12725, 29871, 30235])).
% 5.32/4.85 tff(30281,plain,
% 5.32/4.85 (~trans(s199, s131)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[29043, 30097, 30090, 30235])).
% 5.32/4.85 tff(30282,plain,
% 5.32/4.85 (~trans(s199, s125)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[29092, 30097, 30090, 30235])).
% 5.32/4.85 tff(30283,plain,
% 5.32/4.85 (~trans(s199, s160)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[27019, 29919, 30235])).
% 5.32/4.85 tff(30284,plain,
% 5.32/4.85 (~trans(s199, s151)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[27093, 29919, 30235])).
% 5.32/4.85 tff(30285,plain,
% 5.32/4.85 (~trans(s199, s129)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[29116, 30097, 30090, 30235])).
% 5.32/4.85 tff(30286,plain,
% 5.32/4.85 (~trans(s199, s121)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[29197, 30097, 30090, 30235])).
% 5.32/4.85 tff(30287,plain,
% 5.32/4.85 (~trans(s199, s127)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[29232, 30097, 30090, 30235])).
% 5.32/4.85 tff(30288,plain,
% 5.32/4.85 (~trans(s199, s173)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[26749, 29858, 29852, 30235])).
% 5.32/4.85 tff(30289,plain,
% 5.32/4.85 (~trans(s199, s136)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[28269, 30032, 30235])).
% 5.32/4.85 tff(30290,plain,
% 5.32/4.85 (~trans(s199, s124)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[29291, 30097, 30090, 30235])).
% 5.32/4.85 tff(30291,plain,
% 5.32/4.85 (~trans(s199, s175)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[13352, 29850, 30235])).
% 5.32/4.85 tff(30292,plain,
% 5.32/4.85 (~trans(s199, s163)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[12791, 29916, 30235])).
% 5.32/4.85 tff(30293,plain,
% 5.32/4.85 (~trans(s199, s145)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[27196, 29919, 30235])).
% 5.32/4.85 tff(30294,plain,
% 5.32/4.85 (~trans(s199, s152)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[27262, 29919, 30235])).
% 5.32/4.85 tff(30295,plain,
% 5.32/4.85 (~trans(s199, s133)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[25403, 30235, 24825])).
% 5.32/4.85 tff(30296,plain,
% 5.32/4.85 (~trans(s199, s176)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[12923, 29843, 30235])).
% 5.32/4.85 tff(30297,plain,
% 5.32/4.85 (~trans(s199, s165)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11647, 29906, 30235])).
% 5.32/4.85 tff(30298,plain,
% 5.32/4.85 (~trans(s199, s139)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11416, 30046, 30235])).
% 5.32/4.85 tff(30299,plain,
% 5.32/4.85 (~trans(s199, s138)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[28307, 30032, 30235])).
% 5.32/4.85 tff(30300,plain,
% 5.32/4.85 (~trans(s199, s147)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[26689, 29844, 29838, 30235])).
% 5.32/4.85 tff(30301,plain,
% 5.32/4.85 (~trans(s199, s141)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[13308, 30031, 30235])).
% 5.32/4.85 tff(30302,plain,
% 5.32/4.85 (~trans(s199, s144)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[12241, 30012, 30235])).
% 5.32/4.85 tff(30303,plain,
% 5.32/4.85 (~trans(s199, s143)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[27763, 30005, 30235])).
% 5.32/4.85 tff(30304,plain,
% 5.32/4.85 (~trans(s199, s166)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[13022, 29904, 30235])).
% 5.32/4.85 tff(30305,plain,
% 5.32/4.85 (~trans(s199, s178)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[26174, 29821, 30235])).
% 5.32/4.85 tff(30306,plain,
% 5.32/4.85 (~trans(s199, s123)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11449, 30153, 30235])).
% 5.32/4.85 tff(30307,plain,
% 5.32/4.85 (trans(s199, s118)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[26047, 30306, 13665, 13662, 24794, 30305, 13659, 13658, 30304, 13656, 13655, 13654, 30303, 13652, 13651, 13650, 30302, 13648, 13647, 13646, 13645, 13644, 13643, 30301, 13641, 30300, 13639, 13638, 13637, 13636, 13635, 30299, 13633, 13632, 13631, 30298, 30297, 13628, 13627, 13626, 30296, 13624, 30295, 13622, 13621, 13620, 13619, 30294, 13617, 13616, 13615, 30293, 30292, 30291, 30290, 30289, 13609, 13608, 30288, 13606, 13605, 13604, 13603, 30287, 13601, 30286, 30285, 13598, 13597, 30284, 30283, 13594, 30282, 30281, 13591, 13590, 13589, 13588, 13587, 30280, 30235, 30279, 13583, 13582, 13581, 30278, 13579, 30277, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 30276, 13567, 30275, 13565, 13564, 30274, 13562, 13561, 30273, 13559, 30272, 30271, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 30270, 30269, 30268, 30267, 13535, 13534, 13532, 30266, 13530, 30265, 30264, 13527, 13526, 13525, 30263, 30262, 30261, 30260, 30259, 30258, 13518, 30257, 30256, 13515, 13514, 13513, 13512, 30255, 30254, 30253, 13508, 30252, 13506, 30251, 13504, 13503, 13502, 13501, 13500, 30250, 13498, 30249, 30248, 30247, 30246, 13493, 30245, 30244, 13490, 13489, 30243, 30242, 30241, 30240, 30239, 13440, 30238, 13438, 13437, 30237, 13435, 13434, 13433, 13378, 13664, 30236, 13408])).
% 5.32/4.85 tff(30308,plain,
% 5.32/4.85 (until2p7(s118)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[11977, 30307, 30235])).
% 5.32/4.85 tff(30309,plain,
% 5.32/4.85 (xuntil2p8(s118) | (~until2p7(s118))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9672, 8293, 30176])).
% 5.32/4.85 tff(30310,plain,
% 5.32/4.85 (xuntil2p8(s118)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30309, 30308])).
% 5.32/4.85 tff(30311,plain,
% 5.32/4.85 (until2p7(s119)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9666, 30310])).
% 5.32/4.85 tff(30312,plain,
% 5.32/4.85 (m_main_v_state(s119, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18581, 188, 30175])).
% 5.32/4.85 tff(30313,plain,
% 5.32/4.85 (~m_main_v_request(s119)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18576, 30312, 30169])).
% 5.32/4.85 tff(30314,plain,
% 5.32/4.85 (~node4(s119)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18567, 63, 30313])).
% 5.32/4.85 tff(30315,plain,
% 5.32/4.85 (xuntil2p8(s119) | (~until2p7(s119))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9660, 8293, 30314])).
% 5.32/4.85 tff(30316,plain,
% 5.32/4.85 (xuntil2p8(s119)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30315, 30311])).
% 5.32/4.85 tff(30317,plain,
% 5.32/4.85 ($false),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9654, 30316, 30174])).
% 5.32/4.85 tff(30318,plain,(trans(s199, s117) | trans(s199, s63) | trans(s199, s36) | trans(s199, s100) | trans(s199, s83) | trans(s199, s50) | trans(s199, s87) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s113) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s46) | trans(s199, s108) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185) | node4(s199) | (~until5(s111)) | (~until5(s118))), inference(lemma,lemma(discharge,[]))).
% 5.32/4.85 tff(30319,plain,
% 5.32/4.85 (trans(s199, s116)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30318, 24826, 13662, 13659, 13658, 13655, 13654, 13652, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13627, 13626, 13624, 13622, 24793, 13620, 13619, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13604, 13603, 24783, 13598, 13597, 13594, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13665, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13515, 13514, 24773, 13512, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 13489, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13408, 18474, 18146, 24762])).
% 5.32/4.85 tff(30320,plain,
% 5.32/4.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s116) | (~trans(s199, s116)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s116) | (~trans(s199, s116)))),
% 5.32/4.85 inference(rewrite,[status(thm)],[])).
% 5.32/4.85 tff(30321,plain,
% 5.32/4.85 (((~trans(s199, s116)) | (~always3(s199)) | always3(s116)) <=> ((~always3(s199)) | always3(s116) | (~trans(s199, s116)))),
% 5.32/4.85 inference(rewrite,[status(thm)],[])).
% 5.32/4.85 tff(30322,plain,
% 5.32/4.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s116)) | (~always3(s199)) | always3(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s116) | (~trans(s199, s116))))),
% 5.32/4.85 inference(monotonicity,[status(thm)],[30321])).
% 5.32/4.85 tff(30323,plain,
% 5.32/4.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s116)) | (~always3(s199)) | always3(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s116) | (~trans(s199, s116)))),
% 5.32/4.85 inference(transitivity,[status(thm)],[30322, 30320])).
% 5.32/4.85 tff(30324,plain,
% 5.32/4.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s116)) | (~always3(s199)) | always3(s116))),
% 5.32/4.85 inference(quant_inst,[status(thm)],[])).
% 5.32/4.85 tff(30325,plain,
% 5.32/4.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s116) | (~trans(s199, s116))),
% 5.32/4.85 inference(modus_ponens,[status(thm)],[30324, 30323])).
% 5.32/4.85 tff(30326,plain,
% 5.32/4.85 ($false),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30325, 12211, 38, 15335, 18420])).
% 5.32/4.85 tff(30327,plain,((~trans(s199, s116)) | (~always3(s199)) | always3(s116)), inference(lemma,lemma(discharge,[]))).
% 5.32/4.85 tff(30328,plain,
% 5.32/4.85 ((~trans(s199, s116)) | always3(s116)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30327, 15333])).
% 5.32/4.85 tff(30329,plain,
% 5.32/4.85 (always3(s116)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30328, 30319])).
% 5.32/4.85 tff(30330,plain,
% 5.32/4.85 (always3(s117)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5568, 30329])).
% 5.32/4.85 tff(30331,plain,
% 5.32/4.85 (~m_main_v_state(s117, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18375, 145, 30330])).
% 5.32/4.85 tff(30332,plain,
% 5.32/4.85 (~m_main_v_state(s116, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18331, 145, 30329])).
% 5.32/4.85 tff(30333,plain,
% 5.32/4.85 (m_main_v_state(s116, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18453, 188, 30332])).
% 5.32/4.85 tff(30334,plain,
% 5.32/4.85 (~m_main_v_request(s116)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18418, 30333, 30331])).
% 5.32/4.85 tff(30335,plain,
% 5.32/4.85 (~node4(s116)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18409, 63, 30334])).
% 5.32/4.85 tff(30336,plain,
% 5.32/4.85 (always3(s118)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5556, 30330])).
% 5.32/4.85 tff(30337,plain,
% 5.32/4.85 (always3(s119)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5544, 30336])).
% 5.32/4.85 tff(30338,plain,
% 5.32/4.85 (~m_main_v_state(s119, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18481, 145, 30337])).
% 5.32/4.85 tff(30339,plain,
% 5.32/4.85 (~node4(s118)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18504, 30338])).
% 5.32/4.85 tff(30340,plain,
% 5.32/4.85 (xuntil6(s118) | node4(s118)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[7837, 225, 24762])).
% 5.32/4.85 tff(30341,plain,
% 5.32/4.85 (xuntil6(s118)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30340, 30339])).
% 5.32/4.85 tff(30342,plain,
% 5.32/4.85 (until5(s119)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[7843, 30341])).
% 5.32/4.85 tff(30343,plain,
% 5.32/4.85 (xuntil6(s119)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18583, 30342, 18146])).
% 5.32/4.85 tff(30344,plain,
% 5.32/4.85 (until5(s120)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[7860, 30343])).
% 5.32/4.85 tff(30345,plain,
% 5.32/4.85 (xuntil6(s122)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18741, 30344, 18146])).
% 5.32/4.85 tff(30346,plain,
% 5.32/4.85 (until5(s123)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[7911, 30345])).
% 5.32/4.85 tff(30347,plain,
% 5.32/4.85 (xuntil6(s132)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19278, 30346, 18146])).
% 5.32/4.85 tff(30348,plain,
% 5.32/4.85 (until5(s133)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5287, 30347])).
% 5.32/4.85 tff(30349,plain,
% 5.32/4.85 (xuntil6(s134)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19849, 30346, 18146])).
% 5.32/4.85 tff(30350,plain,
% 5.32/4.85 (until5(s135)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5229, 30349])).
% 5.32/4.85 tff(30351,plain,
% 5.32/4.85 (xuntil6(s137)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20217, 30350])).
% 5.32/4.85 tff(30352,plain,
% 5.32/4.85 (until5(s138)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5142, 30351])).
% 5.32/4.85 tff(30353,plain,
% 5.32/4.85 (xuntil6(s140)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20605, 30352])).
% 5.32/4.85 tff(30354,plain,
% 5.32/4.85 (until5(s141)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5055, 30353])).
% 5.32/4.85 tff(30355,plain,
% 5.32/4.85 (xuntil6(s142)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[20967, 30354])).
% 5.32/4.85 tff(30356,plain,
% 5.32/4.85 (until5(s143)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4996, 30355])).
% 5.32/4.85 tff(30357,plain,
% 5.32/4.85 (xuntil6(s144)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[21025, 30356])).
% 5.32/4.85 tff(30358,plain,
% 5.32/4.85 (until5(s145)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4942, 30357])).
% 5.32/4.85 tff(30359,plain,
% 5.32/4.85 (xuntil6(s161)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[22024, 30358, 30348])).
% 5.32/4.85 tff(30360,plain,
% 5.32/4.85 (until5(s162)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4601, 30359])).
% 5.32/4.85 tff(30361,plain,
% 5.32/4.85 (xuntil6(s162)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4596, 30360])).
% 5.32/4.85 tff(30362,plain,
% 5.32/4.85 (until5(s163)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4550, 30361])).
% 5.32/4.85 tff(30363,plain,
% 5.32/4.85 (xuntil6(s163)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[22393, 30362])).
% 5.32/4.85 tff(30364,plain,
% 5.32/4.85 (until5(s164)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4538, 30363])).
% 5.32/4.85 tff(30365,plain,
% 5.32/4.85 (xuntil6(s164)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[22396, 30364])).
% 5.32/4.85 tff(30366,plain,
% 5.32/4.85 (until5(s165)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4468, 30365])).
% 5.32/4.85 tff(30367,plain,
% 5.32/4.85 (xuntil6(s167)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[22443, 30366])).
% 5.32/4.85 tff(30368,plain,
% 5.32/4.85 (until5(s168)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4514, 30367])).
% 5.32/4.85 tff(30369,plain,
% 5.32/4.85 (xuntil6(s168)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[22446, 30368])).
% 5.32/4.85 tff(30370,plain,
% 5.32/4.85 (until5(s169)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4531, 30369])).
% 5.32/4.85 tff(30371,plain,
% 5.32/4.85 (xuntil6(s173)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[22988, 30370, 30364])).
% 5.32/4.85 tff(30372,plain,
% 5.32/4.85 (until5(s174)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[4356, 30371])).
% 5.32/4.85 tff(30373,plain,
% 5.32/4.85 (xuntil6(s174)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23021, 30372])).
% 5.32/4.85 tff(30374,plain,
% 5.32/4.85 (until5(s175)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[8003, 30373])).
% 5.32/4.85 tff(30375,plain,
% 5.32/4.85 (xuntil6(s181)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23201, 30374])).
% 5.32/4.85 tff(30376,plain,
% 5.32/4.85 (until5(s182)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[8126, 30375])).
% 5.32/4.85 tff(30377,plain,
% 5.32/4.85 (xuntil6(s182)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[8172, 30376])).
% 5.32/4.85 tff(30378,plain,
% 5.32/4.85 (until5(s183)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[8177, 30377])).
% 5.32/4.85 tff(30379,plain,
% 5.32/4.85 (xuntil6(s183)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23255, 30378])).
% 5.32/4.85 tff(30380,plain,
% 5.32/4.85 (until5(s184)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[8189, 30379])).
% 5.32/4.85 tff(30381,plain,
% 5.32/4.85 (xuntil6(s184)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23258, 30380])).
% 5.32/4.85 tff(30382,plain,
% 5.32/4.85 (until5(s185)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[8244, 30381])).
% 5.32/4.85 tff(30383,plain,
% 5.32/4.85 (xuntil6(s185)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23303, 30382])).
% 5.32/4.85 tff(30384,plain,
% 5.32/4.85 (until5(s186)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[8256, 30383])).
% 5.32/4.85 tff(30385,plain,
% 5.32/4.85 (xuntil6(s186)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23306, 30384])).
% 5.32/4.85 tff(30386,plain,
% 5.32/4.85 (until5(s187)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[8213, 30385])).
% 5.32/4.85 tff(30387,plain,
% 5.32/4.85 (xuntil6(s187)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23348, 30386])).
% 5.32/4.85 tff(30388,plain,
% 5.32/4.85 (until5(s188)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[8263, 30387])).
% 5.32/4.85 tff(30389,plain,
% 5.32/4.85 (xuntil6(s188)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[3796, 30388])).
% 5.32/4.85 tff(30390,plain,
% 5.32/4.85 (until5(s189)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[3742, 30389])).
% 5.32/4.85 tff(30391,plain,
% 5.32/4.85 (xuntil6(s195)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23477, 30390])).
% 5.32/4.85 tff(30392,plain,
% 5.32/4.85 (until5(s196)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[3479, 30391])).
% 5.32/4.85 tff(30393,plain,
% 5.32/4.85 (xuntil6(s196)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[3525, 30392])).
% 5.32/4.85 tff(30394,plain,
% 5.32/4.85 (until5(s197)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[3530, 30393])).
% 5.32/4.85 tff(30395,plain,
% 5.32/4.85 (xuntil6(s197)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23482, 30394])).
% 5.32/4.85 tff(30396,plain,
% 5.32/4.85 (until5(s198)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[3543, 30395])).
% 5.32/4.85 tff(30397,plain,
% 5.32/4.85 (xuntil6(s198)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[3589, 30396])).
% 5.32/4.85 tff(30398,plain,
% 5.32/4.85 (until5(s199)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[3594, 30397])).
% 5.32/4.85 tff(30399,plain,
% 5.32/4.85 (xuntil6(s199)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23489, 30398, 18474])).
% 5.32/4.85 tff(30400,plain,
% 5.32/4.85 (until2p7(s116)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[12219, 30399, 30319])).
% 5.32/4.85 tff(30401,plain,
% 5.32/4.85 (node4(s116) | xuntil2p8(s116)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9696, 8293, 30400])).
% 5.32/4.85 tff(30402,plain,
% 5.32/4.85 (xuntil2p8(s116)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30401, 30335])).
% 5.32/4.85 tff(30403,plain,
% 5.32/4.85 (until2p7(s117)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9690, 30402])).
% 5.32/4.85 tff(30404,plain,
% 5.32/4.85 (~m_main_v_state(s118, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18383, 145, 30336])).
% 5.32/4.85 tff(30405,plain,
% 5.32/4.85 (m_main_v_state(s117, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18387, 188, 30331])).
% 5.32/4.85 tff(30406,plain,
% 5.32/4.85 (~m_main_v_request(s117)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18396, 30405, 30404])).
% 5.32/4.85 tff(30407,plain,
% 5.32/4.85 (~node4(s117)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18400, 63, 30406])).
% 5.32/4.85 tff(30408,plain,
% 5.32/4.85 (xuntil2p8(s117) | (~until2p7(s117))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9684, 8293, 30407])).
% 5.32/4.85 tff(30409,plain,
% 5.32/4.85 (xuntil2p8(s117)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30408, 30403])).
% 5.32/4.85 tff(30410,plain,
% 5.32/4.85 (until2p7(s118)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9678, 30409])).
% 5.32/4.85 tff(30411,plain,
% 5.32/4.85 (xuntil2p8(s118) | (~until2p7(s118))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9672, 8293, 30339])).
% 5.32/4.85 tff(30412,plain,
% 5.32/4.85 (xuntil2p8(s118)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30411, 30410])).
% 5.32/4.85 tff(30413,plain,
% 5.32/4.85 (until2p7(s119)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9666, 30412])).
% 5.32/4.85 tff(30414,plain,
% 5.32/4.85 (always3(s120)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5532, 30337])).
% 5.32/4.85 tff(30415,plain,
% 5.32/4.85 (~m_main_v_state(s120, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18560, 145, 30414])).
% 5.32/4.85 tff(30416,plain,
% 5.32/4.85 (m_main_v_state(s119, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18581, 188, 30338])).
% 5.32/4.85 tff(30417,plain,
% 5.32/4.85 (~m_main_v_request(s119)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18576, 30416, 30415])).
% 5.32/4.85 tff(30418,plain,
% 5.32/4.85 (~node4(s119)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18567, 63, 30417])).
% 5.32/4.85 tff(30419,plain,
% 5.32/4.85 (xuntil2p8(s119) | (~until2p7(s119))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9660, 8293, 30418])).
% 5.32/4.85 tff(30420,plain,
% 5.32/4.85 (xuntil2p8(s119)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30419, 30413])).
% 5.32/4.85 tff(30421,plain,
% 5.32/4.85 (until2p7(s120)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9654, 30420])).
% 5.32/4.85 tff(30422,plain,
% 5.32/4.85 (always3(s121)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5520, 30414])).
% 5.32/4.85 tff(30423,plain,
% 5.32/4.85 (~m_main_v_state(s121, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18682, 145, 30422])).
% 5.32/4.85 tff(30424,plain,
% 5.32/4.85 (m_main_v_state(s120, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18722, 188, 30415])).
% 5.32/4.85 tff(30425,plain,
% 5.32/4.85 (~m_main_v_request(s120)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18716, 30424, 30423])).
% 5.32/4.85 tff(30426,plain,
% 5.32/4.85 (~node4(s120)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18707, 63, 30425])).
% 5.32/4.85 tff(30427,plain,
% 5.32/4.85 (xuntil2p8(s120) | (~until2p7(s120))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9648, 8293, 30426])).
% 5.32/4.85 tff(30428,plain,
% 5.32/4.85 (xuntil2p8(s120)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30427, 30421])).
% 5.32/4.85 tff(30429,plain,
% 5.32/4.85 (until2p7(s121)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9642, 30428])).
% 5.32/4.85 tff(30430,plain,
% 5.32/4.85 (always3(s122)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5508, 30422])).
% 5.32/4.85 tff(30431,plain,
% 5.32/4.85 (~m_main_v_state(s122, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18658, 145, 30430])).
% 5.32/4.85 tff(30432,plain,
% 5.32/4.85 (m_main_v_state(s121, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18687, 188, 30423])).
% 5.32/4.85 tff(30433,plain,
% 5.32/4.85 (~m_main_v_request(s121)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18696, 30432, 30431])).
% 5.32/4.85 tff(30434,plain,
% 5.32/4.85 (~node4(s121)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18700, 63, 30433])).
% 5.32/4.85 tff(30435,plain,
% 5.32/4.85 (xuntil2p8(s121) | (~until2p7(s121))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9636, 8293, 30434])).
% 5.32/4.85 tff(30436,plain,
% 5.32/4.85 (xuntil2p8(s121)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30435, 30429])).
% 5.32/4.85 tff(30437,plain,
% 5.32/4.85 (until2p7(s122)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9630, 30436])).
% 5.32/4.85 tff(30438,plain,
% 5.32/4.85 (always3(s123)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5496, 30430])).
% 5.32/4.85 tff(30439,plain,
% 5.32/4.85 (~m_main_v_state(s123, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18651, 145, 30438])).
% 5.32/4.85 tff(30440,plain,
% 5.32/4.85 (m_main_v_state(s122, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18662, 188, 30431])).
% 5.32/4.85 tff(30441,plain,
% 5.32/4.85 (~m_main_v_request(s122)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18739, 30440, 30439])).
% 5.32/4.85 tff(30442,plain,
% 5.32/4.85 (~node4(s122)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18730, 63, 30441])).
% 5.32/4.85 tff(30443,plain,
% 5.32/4.85 (xuntil2p8(s122) | (~until2p7(s122))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9624, 8293, 30442])).
% 5.32/4.85 tff(30444,plain,
% 5.32/4.85 (xuntil2p8(s122)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30443, 30437])).
% 5.32/4.85 tff(30445,plain,
% 5.32/4.85 (until2p7(s123)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9618, 30444])).
% 5.32/4.85 tff(30446,plain,
% 5.32/4.85 (always3(s124)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5484, 30438])).
% 5.32/4.85 tff(30447,plain,
% 5.32/4.85 (~m_main_v_state(s124, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19219, 145, 30446])).
% 5.32/4.85 tff(30448,plain,
% 5.32/4.85 (m_main_v_state(s123, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19259, 188, 30439])).
% 5.32/4.85 tff(30449,plain,
% 5.32/4.85 (~m_main_v_request(s123)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19253, 30448, 30447])).
% 5.32/4.85 tff(30450,plain,
% 5.32/4.85 (~node4(s123)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19244, 63, 30449])).
% 5.32/4.85 tff(30451,plain,
% 5.32/4.85 (xuntil2p8(s123) | (~until2p7(s123))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9612, 8293, 30450])).
% 5.32/4.85 tff(30452,plain,
% 5.32/4.85 (xuntil2p8(s123)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30451, 30445])).
% 5.32/4.85 tff(30453,plain,
% 5.32/4.85 (until2p7(s124)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9606, 30452])).
% 5.32/4.85 tff(30454,plain,
% 5.32/4.85 (always3(s125)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5472, 30446])).
% 5.32/4.85 tff(30455,plain,
% 5.32/4.85 (~m_main_v_state(s125, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19181, 145, 30454])).
% 5.32/4.85 tff(30456,plain,
% 5.32/4.85 (m_main_v_state(s124, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19223, 188, 30447])).
% 5.32/4.85 tff(30457,plain,
% 5.32/4.85 (~m_main_v_request(s124)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19232, 30456, 30455])).
% 5.32/4.85 tff(30458,plain,
% 5.32/4.85 (~node4(s124)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19236, 63, 30457])).
% 5.32/4.85 tff(30459,plain,
% 5.32/4.85 (xuntil2p8(s124) | (~until2p7(s124))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9600, 8293, 30458])).
% 5.32/4.85 tff(30460,plain,
% 5.32/4.85 (xuntil2p8(s124)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30459, 30453])).
% 5.32/4.85 tff(30461,plain,
% 5.32/4.85 (until2p7(s125)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9594, 30460])).
% 5.32/4.85 tff(30462,plain,
% 5.32/4.85 (always3(s126)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5460, 30454])).
% 5.32/4.85 tff(30463,plain,
% 5.32/4.85 (~m_main_v_state(s126, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19126, 145, 30462])).
% 5.32/4.85 tff(30464,plain,
% 5.32/4.85 (m_main_v_state(s125, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19185, 188, 30455])).
% 5.32/4.85 tff(30465,plain,
% 5.32/4.85 (~m_main_v_request(s125)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19194, 30464, 30463])).
% 5.32/4.85 tff(30466,plain,
% 5.32/4.85 (~node4(s125)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19198, 63, 30465])).
% 5.32/4.85 tff(30467,plain,
% 5.32/4.85 (xuntil2p8(s125) | (~until2p7(s125))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9588, 8293, 30466])).
% 5.32/4.85 tff(30468,plain,
% 5.32/4.85 (xuntil2p8(s125)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30467, 30461])).
% 5.32/4.85 tff(30469,plain,
% 5.32/4.85 (until2p7(s126)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9582, 30468])).
% 5.32/4.85 tff(30470,plain,
% 5.32/4.85 (always3(s127)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5448, 30462])).
% 5.32/4.85 tff(30471,plain,
% 5.32/4.85 (~m_main_v_state(s127, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19103, 145, 30470])).
% 5.32/4.85 tff(30472,plain,
% 5.32/4.85 (~node4(s126)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19132, 30471])).
% 5.32/4.85 tff(30473,plain,
% 5.32/4.85 (xuntil2p8(s126) | (~until2p7(s126))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9576, 8293, 30472])).
% 5.32/4.85 tff(30474,plain,
% 5.32/4.85 (xuntil2p8(s126)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30473, 30469])).
% 5.32/4.85 tff(30475,plain,
% 5.32/4.85 (until2p7(s127)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9570, 30474])).
% 5.32/4.85 tff(30476,plain,
% 5.32/4.85 (always3(s128)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5436, 30470])).
% 5.32/4.85 tff(30477,plain,
% 5.32/4.85 (~m_main_v_state(s128, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19041, 145, 30476])).
% 5.32/4.85 tff(30478,plain,
% 5.32/4.85 (m_main_v_state(s127, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19138, 188, 30471])).
% 5.32/4.85 tff(30479,plain,
% 5.32/4.85 (~m_main_v_request(s127)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19147, 30478, 30477])).
% 5.32/4.85 tff(30480,plain,
% 5.32/4.85 (~node4(s127)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19151, 63, 30479])).
% 5.32/4.85 tff(30481,plain,
% 5.32/4.85 (xuntil2p8(s127) | (~until2p7(s127))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9564, 8293, 30480])).
% 5.32/4.85 tff(30482,plain,
% 5.32/4.85 (xuntil2p8(s127)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30481, 30475])).
% 5.32/4.85 tff(30483,plain,
% 5.32/4.85 (until2p7(s128)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9558, 30482])).
% 5.32/4.85 tff(30484,plain,
% 5.32/4.85 (always3(s129)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5412, 30476])).
% 5.32/4.85 tff(30485,plain,
% 5.32/4.85 (~m_main_v_state(s129, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19018, 145, 30484])).
% 5.32/4.85 tff(30486,plain,
% 5.32/4.85 (~node4(s128)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19047, 30485])).
% 5.32/4.85 tff(30487,plain,
% 5.32/4.85 (xuntil2p8(s128) | (~until2p7(s128))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9552, 8293, 30486])).
% 5.32/4.85 tff(30488,plain,
% 5.32/4.85 (xuntil2p8(s128)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30487, 30483])).
% 5.32/4.85 tff(30489,plain,
% 5.32/4.85 (until2p7(s129)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9546, 30488])).
% 5.32/4.85 tff(30490,plain,
% 5.32/4.85 (always3(s130)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5383, 30484])).
% 5.32/4.85 tff(30491,plain,
% 5.32/4.85 (~m_main_v_state(s130, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18948, 145, 30490])).
% 5.32/4.85 tff(30492,plain,
% 5.32/4.85 (m_main_v_state(s129, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19053, 188, 30485])).
% 5.32/4.85 tff(30493,plain,
% 5.32/4.85 (~m_main_v_request(s129)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19062, 30492, 30491])).
% 5.32/4.85 tff(30494,plain,
% 5.32/4.85 (~node4(s129)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19066, 63, 30493])).
% 5.32/4.85 tff(30495,plain,
% 5.32/4.85 (xuntil2p8(s129) | (~until2p7(s129))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9540, 8293, 30494])).
% 5.32/4.85 tff(30496,plain,
% 5.32/4.85 (xuntil2p8(s129)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30495, 30489])).
% 5.32/4.85 tff(30497,plain,
% 5.32/4.85 (until2p7(s130)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9534, 30496])).
% 5.32/4.85 tff(30498,plain,
% 5.32/4.85 (always3(s131)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5354, 30490])).
% 5.32/4.85 tff(30499,plain,
% 5.32/4.85 (~m_main_v_state(s131, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18925, 145, 30498])).
% 5.32/4.85 tff(30500,plain,
% 5.32/4.85 (~node4(s130)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18954, 30499])).
% 5.32/4.85 tff(30501,plain,
% 5.32/4.85 (xuntil2p8(s130) | (~until2p7(s130))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9528, 8293, 30500])).
% 5.32/4.85 tff(30502,plain,
% 5.32/4.85 (xuntil2p8(s130)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30501, 30497])).
% 5.32/4.85 tff(30503,plain,
% 5.32/4.85 (until2p7(s131)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9522, 30502])).
% 5.32/4.85 tff(30504,plain,
% 5.32/4.85 (always3(s132)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5325, 30498])).
% 5.32/4.85 tff(30505,plain,
% 5.32/4.85 (~m_main_v_state(s132, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18867, 145, 30504])).
% 5.32/4.85 tff(30506,plain,
% 5.32/4.85 (m_main_v_state(s131, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18959, 188, 30499])).
% 5.32/4.85 tff(30507,plain,
% 5.32/4.85 (~m_main_v_request(s131)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18968, 30506, 30505])).
% 5.32/4.85 tff(30508,plain,
% 5.32/4.85 (~node4(s131)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18972, 63, 30507])).
% 5.32/4.85 tff(30509,plain,
% 5.32/4.85 (xuntil2p8(s131) | (~until2p7(s131))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9516, 8293, 30508])).
% 5.32/4.85 tff(30510,plain,
% 5.32/4.85 (xuntil2p8(s131)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30509, 30503])).
% 5.32/4.85 tff(30511,plain,
% 5.32/4.85 (until2p7(s132)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9510, 30510])).
% 5.32/4.85 tff(30512,plain,
% 5.32/4.85 (always3(s133)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5296, 30504])).
% 5.32/4.85 tff(30513,plain,
% 5.32/4.85 (~m_main_v_state(s133, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[18860, 145, 30512])).
% 5.32/4.85 tff(30514,plain,
% 5.32/4.85 (~node1(s131)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23608, 30505])).
% 5.32/4.85 tff(30515,plain,
% 5.32/4.85 (m_main_v_state(s132, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[23616, 30514, 30505])).
% 5.32/4.85 tff(30516,plain,
% 5.32/4.85 (~m_main_v_request(s132)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19276, 30515, 30513])).
% 5.32/4.85 tff(30517,plain,
% 5.32/4.85 (~node4(s132)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19267, 63, 30516])).
% 5.32/4.85 tff(30518,plain,
% 5.32/4.85 (xuntil2p8(s132) | (~until2p7(s132))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9504, 8293, 30517])).
% 5.32/4.85 tff(30519,plain,
% 5.32/4.85 (xuntil2p8(s132)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30518, 30511])).
% 5.32/4.85 tff(30520,plain,
% 5.32/4.85 (until2p7(s133)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9498, 30519])).
% 5.32/4.85 tff(30521,plain,
% 5.32/4.85 (always3(s134)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5267, 30512])).
% 5.32/4.85 tff(30522,plain,
% 5.32/4.85 (~m_main_v_state(s134, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19548, 145, 30521])).
% 5.32/4.85 tff(30523,plain,
% 5.32/4.85 (m_main_v_state(s133, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19822, 188, 30513])).
% 5.32/4.85 tff(30524,plain,
% 5.32/4.85 (~m_main_v_request(s133)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19831, 30523, 30522])).
% 5.32/4.85 tff(30525,plain,
% 5.32/4.85 (~node4(s133)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19835, 63, 30524])).
% 5.32/4.85 tff(30526,plain,
% 5.32/4.85 (xuntil2p8(s133) | (~until2p7(s133))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9492, 8293, 30525])).
% 5.32/4.85 tff(30527,plain,
% 5.32/4.85 (xuntil2p8(s133)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30526, 30520])).
% 5.32/4.85 tff(30528,plain,
% 5.32/4.85 (until2p7(s134)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9486, 30527])).
% 5.32/4.85 tff(30529,plain,
% 5.32/4.85 (always3(s135)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[5238, 30521])).
% 5.32/4.85 tff(30530,plain,
% 5.32/4.85 (~m_main_v_state(s135, c_busy)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19541, 145, 30529])).
% 5.32/4.85 tff(30531,plain,
% 5.32/4.85 (m_main_v_state(s134, c_ready)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19552, 188, 30522])).
% 5.32/4.85 tff(30532,plain,
% 5.32/4.85 (~m_main_v_request(s134)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19561, 30531, 30530])).
% 5.32/4.85 tff(30533,plain,
% 5.32/4.85 (~node4(s134)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[19565, 63, 30532])).
% 5.32/4.85 tff(30534,plain,
% 5.32/4.85 (xuntil2p8(s134) | (~until2p7(s134))),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9480, 8293, 30533])).
% 5.32/4.85 tff(30535,plain,
% 5.32/4.85 (xuntil2p8(s134)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[30534, 30528])).
% 5.32/4.85 tff(30536,plain,
% 5.32/4.85 (until2p7(s135)),
% 5.32/4.85 inference(unit_resolution,[status(thm)],[9474, 30535])).
% 5.32/4.86 tff(30537,plain,
% 5.32/4.86 (always3(s136)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[5209, 30529])).
% 5.32/4.86 tff(30538,plain,
% 5.32/4.86 (~m_main_v_state(s136, c_busy)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20158, 145, 30537])).
% 5.32/4.86 tff(30539,plain,
% 5.32/4.86 (m_main_v_state(s135, c_ready)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20198, 188, 30530])).
% 5.32/4.86 tff(30540,plain,
% 5.32/4.86 (~m_main_v_request(s135)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20192, 30539, 30538])).
% 5.32/4.86 tff(30541,plain,
% 5.32/4.86 (~node4(s135)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20183, 63, 30540])).
% 5.32/4.86 tff(30542,plain,
% 5.32/4.86 (xuntil2p8(s135) | (~until2p7(s135))),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[9468, 8293, 30541])).
% 5.32/4.86 tff(30543,plain,
% 5.32/4.86 (xuntil2p8(s135)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[30542, 30536])).
% 5.32/4.86 tff(30544,plain,
% 5.32/4.86 (until2p7(s136)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[9462, 30543])).
% 5.32/4.86 tff(30545,plain,
% 5.32/4.86 (always3(s137)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[5180, 30537])).
% 5.32/4.86 tff(30546,plain,
% 5.32/4.86 (~m_main_v_state(s137, c_busy)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20134, 145, 30545])).
% 5.32/4.86 tff(30547,plain,
% 5.32/4.86 (m_main_v_state(s136, c_ready)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20163, 188, 30538])).
% 5.32/4.86 tff(30548,plain,
% 5.32/4.86 (~m_main_v_request(s136)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20172, 30547, 30546])).
% 5.32/4.86 tff(30549,plain,
% 5.32/4.86 (~node4(s136)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20176, 63, 30548])).
% 5.32/4.86 tff(30550,plain,
% 5.32/4.86 (xuntil2p8(s136) | (~until2p7(s136))),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[9456, 8293, 30549])).
% 5.32/4.86 tff(30551,plain,
% 5.32/4.86 (xuntil2p8(s136)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[30550, 30544])).
% 5.32/4.86 tff(30552,plain,
% 5.32/4.86 (until2p7(s137)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[9450, 30551])).
% 5.32/4.86 tff(30553,plain,
% 5.32/4.86 (always3(s138)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[5151, 30545])).
% 5.32/4.86 tff(30554,plain,
% 5.32/4.86 (~m_main_v_state(s138, c_busy)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20127, 145, 30553])).
% 5.32/4.86 tff(30555,plain,
% 5.32/4.86 (m_main_v_state(s137, c_ready)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20138, 188, 30546])).
% 5.32/4.86 tff(30556,plain,
% 5.32/4.86 (~m_main_v_request(s137)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20215, 30555, 30554])).
% 5.32/4.86 tff(30557,plain,
% 5.32/4.86 (~node4(s137)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20206, 63, 30556])).
% 5.32/4.86 tff(30558,plain,
% 5.32/4.86 (xuntil2p8(s137) | (~until2p7(s137))),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[9444, 8293, 30557])).
% 5.32/4.86 tff(30559,plain,
% 5.32/4.86 (xuntil2p8(s137)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[30558, 30552])).
% 5.32/4.86 tff(30560,plain,
% 5.32/4.86 (until2p7(s138)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[9438, 30559])).
% 5.32/4.86 tff(30561,plain,
% 5.32/4.86 (always3(s139)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[5122, 30553])).
% 5.32/4.86 tff(30562,plain,
% 5.32/4.86 (~m_main_v_state(s139, c_busy)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20560, 145, 30561])).
% 5.32/4.86 tff(30563,plain,
% 5.32/4.86 (m_main_v_state(s138, c_ready)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20600, 188, 30554])).
% 5.32/4.86 tff(30564,plain,
% 5.32/4.86 (~m_main_v_request(s138)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20594, 30563, 30562])).
% 5.32/4.86 tff(30565,plain,
% 5.32/4.86 (~node4(s138)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20585, 63, 30564])).
% 5.32/4.86 tff(30566,plain,
% 5.32/4.86 (xuntil2p8(s138) | (~until2p7(s138))),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[9432, 8293, 30565])).
% 5.32/4.86 tff(30567,plain,
% 5.32/4.86 (xuntil2p8(s138)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[30566, 30560])).
% 5.32/4.86 tff(30568,plain,
% 5.32/4.86 (until2p7(s139)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[9426, 30567])).
% 5.32/4.86 tff(30569,plain,
% 5.32/4.86 (always3(s140)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[5093, 30561])).
% 5.32/4.86 tff(30570,plain,
% 5.32/4.86 (~m_main_v_state(s140, c_busy)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20534, 145, 30569])).
% 5.32/4.86 tff(30571,plain,
% 5.32/4.86 (m_main_v_state(s139, c_ready)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20565, 188, 30562])).
% 5.32/4.86 tff(30572,plain,
% 5.32/4.86 (~m_main_v_request(s139)),
% 5.32/4.86 inference(unit_resolution,[status(thm)],[20574, 30571, 30570])).
% 5.32/4.86 tff(30573,plain,
% 5.32/4.86 (~node4(s139)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[20578, 63, 30572])).
% 5.38/4.86 tff(30574,plain,
% 5.38/4.86 (xuntil2p8(s139) | (~until2p7(s139))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9420, 8293, 30573])).
% 5.38/4.86 tff(30575,plain,
% 5.38/4.86 (xuntil2p8(s139)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30574, 30568])).
% 5.38/4.86 tff(30576,plain,
% 5.38/4.86 (until2p7(s140)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9414, 30575])).
% 5.38/4.86 tff(30577,plain,
% 5.38/4.86 (m_main_v_state(s140, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23681, 30570])).
% 5.38/4.86 tff(30578,plain,
% 5.38/4.86 (always3(s141)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[5064, 30569])).
% 5.38/4.86 tff(30579,plain,
% 5.38/4.86 (~m_main_v_state(s141, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[20511, 145, 30578])).
% 5.38/4.86 tff(30580,plain,
% 5.38/4.86 (~m_main_v_request(s140)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[20527, 30579, 30577])).
% 5.38/4.86 tff(30581,plain,
% 5.38/4.86 (~node4(s140)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[20518, 63, 30580])).
% 5.38/4.86 tff(30582,plain,
% 5.38/4.86 (xuntil2p8(s140) | (~until2p7(s140))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9408, 8293, 30581])).
% 5.38/4.86 tff(30583,plain,
% 5.38/4.86 (xuntil2p8(s140)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30582, 30576])).
% 5.38/4.86 tff(30584,plain,
% 5.38/4.86 (until2p7(s141)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9402, 30583])).
% 5.38/4.86 tff(30585,plain,
% 5.38/4.86 (always3(s142)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[5035, 30578])).
% 5.38/4.86 tff(30586,plain,
% 5.38/4.86 (~m_main_v_state(s142, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[20931, 145, 30585])).
% 5.38/4.86 tff(30587,plain,
% 5.38/4.86 (~node4(s141)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[20964, 30586])).
% 5.38/4.86 tff(30588,plain,
% 5.38/4.86 (xuntil2p8(s141) | (~until2p7(s141))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9396, 8293, 30587])).
% 5.38/4.86 tff(30589,plain,
% 5.38/4.86 (xuntil2p8(s141)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30588, 30584])).
% 5.38/4.86 tff(30590,plain,
% 5.38/4.86 (until2p7(s142)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9390, 30589])).
% 5.38/4.86 tff(30591,plain,
% 5.38/4.86 (always3(s143)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[5006, 30585])).
% 5.38/4.86 tff(30592,plain,
% 5.38/4.86 (~m_main_v_state(s143, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[20908, 145, 30591])).
% 5.38/4.86 tff(30593,plain,
% 5.38/4.86 (m_main_v_state(s142, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[20935, 188, 30586])).
% 5.38/4.86 tff(30594,plain,
% 5.38/4.86 (~m_main_v_request(s142)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[20924, 30593, 30592])).
% 5.38/4.86 tff(30595,plain,
% 5.38/4.86 (~node4(s142)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[20915, 63, 30594])).
% 5.38/4.86 tff(30596,plain,
% 5.38/4.86 (xuntil2p8(s142) | (~until2p7(s142))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9384, 8293, 30595])).
% 5.38/4.86 tff(30597,plain,
% 5.38/4.86 (xuntil2p8(s142)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30596, 30590])).
% 5.38/4.86 tff(30598,plain,
% 5.38/4.86 (until2p7(s143)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9378, 30597])).
% 5.38/4.86 tff(30599,plain,
% 5.38/4.86 (always3(s144)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4968, 30591])).
% 5.38/4.86 tff(30600,plain,
% 5.38/4.86 (~m_main_v_state(s144, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[20976, 145, 30599])).
% 5.38/4.86 tff(30601,plain,
% 5.38/4.86 (~node1(s142)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23717, 30592])).
% 5.38/4.86 tff(30602,plain,
% 5.38/4.86 (m_main_v_state(s143, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23725, 30592, 30601])).
% 5.38/4.86 tff(30603,plain,
% 5.38/4.86 (~m_main_v_request(s143)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21017, 30602, 30600])).
% 5.38/4.86 tff(30604,plain,
% 5.38/4.86 (~node4(s143)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21008, 63, 30603])).
% 5.38/4.86 tff(30605,plain,
% 5.38/4.86 (xuntil2p8(s143) | (~until2p7(s143))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9372, 8293, 30604])).
% 5.38/4.86 tff(30606,plain,
% 5.38/4.86 (xuntil2p8(s143)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30605, 30598])).
% 5.38/4.86 tff(30607,plain,
% 5.38/4.86 (until2p7(s144)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9366, 30606])).
% 5.38/4.86 tff(30608,plain,
% 5.38/4.86 (always3(s145)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4334, 30599])).
% 5.38/4.86 tff(30609,plain,
% 5.38/4.86 (~m_main_v_state(s145, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[20984, 145, 30608])).
% 5.38/4.86 tff(30610,plain,
% 5.38/4.86 (m_main_v_state(s144, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23737, 30600])).
% 5.38/4.86 tff(30611,plain,
% 5.38/4.86 (~m_main_v_request(s144)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[20997, 30610, 30609])).
% 5.38/4.86 tff(30612,plain,
% 5.38/4.86 (~node4(s144)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21001, 63, 30611])).
% 5.38/4.86 tff(30613,plain,
% 5.38/4.86 (xuntil2p8(s144) | (~until2p7(s144))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9360, 8293, 30612])).
% 5.38/4.86 tff(30614,plain,
% 5.38/4.86 (xuntil2p8(s144)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30613, 30607])).
% 5.38/4.86 tff(30615,plain,
% 5.38/4.86 (until2p7(s145)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9354, 30614])).
% 5.38/4.86 tff(30616,plain,
% 5.38/4.86 (xuntil2p8(s145)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23773, 30615])).
% 5.38/4.86 tff(30617,plain,
% 5.38/4.86 (until2p7(s146)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9341, 30616])).
% 5.38/4.86 tff(30618,plain,
% 5.38/4.86 (xuntil2p8(s146)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9336, 30617])).
% 5.38/4.86 tff(30619,plain,
% 5.38/4.86 (until2p7(s147)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9331, 30618])).
% 5.38/4.86 tff(30620,plain,
% 5.38/4.86 (xuntil2p8(s147)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23778, 30619])).
% 5.38/4.86 tff(30621,plain,
% 5.38/4.86 (always3(s146)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4322, 30608])).
% 5.38/4.86 tff(30622,plain,
% 5.38/4.86 (always3(s147)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4310, 30621])).
% 5.38/4.86 tff(30623,plain,
% 5.38/4.86 (always3(s148)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4298, 30622])).
% 5.38/4.86 tff(30624,plain,
% 5.38/4.86 (always3(s149)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4286, 30623])).
% 5.38/4.86 tff(30625,plain,
% 5.38/4.86 (always3(s150)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4274, 30624])).
% 5.38/4.86 tff(30626,plain,
% 5.38/4.86 (always3(s151)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4262, 30625])).
% 5.38/4.86 tff(30627,plain,
% 5.38/4.86 (always3(s152)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4250, 30626])).
% 5.38/4.86 tff(30628,plain,
% 5.38/4.86 (always3(s153)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4238, 30627])).
% 5.38/4.86 tff(30629,plain,
% 5.38/4.86 (always3(s154)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4226, 30628])).
% 5.38/4.86 tff(30630,plain,
% 5.38/4.86 (always3(s155)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4214, 30629])).
% 5.38/4.86 tff(30631,plain,
% 5.38/4.86 (always3(s156)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4202, 30630])).
% 5.38/4.86 tff(30632,plain,
% 5.38/4.86 (always3(s157)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4190, 30631])).
% 5.38/4.86 tff(30633,plain,
% 5.38/4.86 (always3(s158)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4178, 30632])).
% 5.38/4.86 tff(30634,plain,
% 5.38/4.86 (always3(s159)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4166, 30633])).
% 5.38/4.86 tff(30635,plain,
% 5.38/4.86 (always3(s160)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4154, 30634])).
% 5.38/4.86 tff(30636,plain,
% 5.38/4.86 (always3(s161)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4142, 30635])).
% 5.38/4.86 tff(30637,plain,
% 5.38/4.86 (always3(s162)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4130, 30636])).
% 5.38/4.86 tff(30638,plain,
% 5.38/4.86 (always3(s163)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4118, 30637])).
% 5.38/4.86 tff(30639,plain,
% 5.38/4.86 (always3(s164)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4106, 30638])).
% 5.38/4.86 tff(30640,plain,
% 5.38/4.86 (always3(s165)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4094, 30639])).
% 5.38/4.86 tff(30641,plain,
% 5.38/4.86 (always3(s166)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4082, 30640])).
% 5.38/4.86 tff(30642,plain,
% 5.38/4.86 (always3(s167)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4070, 30641])).
% 5.38/4.86 tff(30643,plain,
% 5.38/4.86 (always3(s168)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4058, 30642])).
% 5.38/4.86 tff(30644,plain,
% 5.38/4.86 (always3(s169)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4046, 30643])).
% 5.38/4.86 tff(30645,plain,
% 5.38/4.86 (always3(s170)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4034, 30644])).
% 5.38/4.86 tff(30646,plain,
% 5.38/4.86 (always3(s171)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4022, 30645])).
% 5.38/4.86 tff(30647,plain,
% 5.38/4.86 (always3(s172)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4010, 30646])).
% 5.38/4.86 tff(30648,plain,
% 5.38/4.86 (always3(s173)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[3998, 30647])).
% 5.38/4.86 tff(30649,plain,
% 5.38/4.86 (always3(s174)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[3986, 30648])).
% 5.38/4.86 tff(30650,plain,
% 5.38/4.86 (always3(s175)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[3973, 30649])).
% 5.38/4.86 tff(30651,plain,
% 5.38/4.86 (always3(s176)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[3961, 30650])).
% 5.38/4.86 tff(30652,plain,
% 5.38/4.86 (always3(s177)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[3949, 30651])).
% 5.38/4.86 tff(30653,plain,
% 5.38/4.86 (always3(s178)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[3937, 30652])).
% 5.38/4.86 tff(30654,plain,
% 5.38/4.86 (always3(s179)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[3925, 30653])).
% 5.38/4.86 tff(30655,plain,
% 5.38/4.86 (always3(s180)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[3913, 30654])).
% 5.38/4.86 tff(30656,plain,
% 5.38/4.86 (always3(s181)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[3901, 30655])).
% 5.38/4.86 tff(30657,plain,
% 5.38/4.86 (~m_main_v_state(s181, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23041, 145, 30656])).
% 5.38/4.86 tff(30658,plain,
% 5.38/4.86 (~m_main_v_state(s180, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23086, 145, 30655])).
% 5.38/4.86 tff(30659,plain,
% 5.38/4.86 (m_main_v_state(s180, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23090, 188, 30658])).
% 5.38/4.86 tff(30660,plain,
% 5.38/4.86 (~m_main_v_request(s180)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23079, 30659, 30657])).
% 5.38/4.86 tff(30661,plain,
% 5.38/4.86 (~node4(s180)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23070, 63, 30660])).
% 5.38/4.86 tff(30662,plain,
% 5.38/4.86 (always3(s182)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[3885, 30656])).
% 5.38/4.86 tff(30663,plain,
% 5.38/4.86 (~m_main_v_state(s182, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8159, 145, 30662])).
% 5.38/4.86 tff(30664,plain,
% 5.38/4.86 (m_main_v_state(s181, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23045, 188, 30657])).
% 5.38/4.86 tff(30665,plain,
% 5.38/4.86 (~m_main_v_request(s181)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23054, 30664, 30663])).
% 5.38/4.86 tff(30666,plain,
% 5.38/4.86 (~node4(s181)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23058, 63, 30665])).
% 5.38/4.86 tff(30667,plain,
% 5.38/4.86 (always3(s183)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[3873, 30662])).
% 5.38/4.86 tff(30668,plain,
% 5.38/4.86 (always3(s184)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[3857, 30667])).
% 5.38/4.86 tff(30669,plain,
% 5.38/4.86 (~m_main_v_state(s184, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8570, 145, 30668])).
% 5.38/4.86 tff(30670,plain,
% 5.38/4.86 (~m_main_v_state(s183, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8143, 145, 30667])).
% 5.38/4.86 tff(30671,plain,
% 5.38/4.86 (m_main_v_state(s182, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23834, 30663])).
% 5.38/4.86 tff(30672,plain,
% 5.38/4.86 (m_main_v_state(s183, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23852, 30671, 30670])).
% 5.38/4.86 tff(30673,plain,
% 5.38/4.86 (~m_main_v_request(s183)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23248, 30672, 30669])).
% 5.38/4.86 tff(30674,plain,
% 5.38/4.86 (~node4(s183)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23239, 63, 30673])).
% 5.38/4.86 tff(30675,plain,
% 5.38/4.86 (~until2p7(s183)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[28409, 30674])).
% 5.38/4.86 tff(30676,plain,
% 5.38/4.86 (~xuntil2p8(s182)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8595, 30675])).
% 5.38/4.86 tff(30677,plain,
% 5.38/4.86 (~until2p7(s182)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8600, 30676])).
% 5.38/4.86 tff(30678,plain,
% 5.38/4.86 (~xuntil2p8(s181)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8605, 30677])).
% 5.38/4.86 tff(30679,plain,
% 5.38/4.86 (~until2p7(s181)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8609, 8293, 30678, 30666])).
% 5.38/4.86 tff(30680,plain,
% 5.38/4.86 (~xuntil2p8(s180)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8615, 30679])).
% 5.38/4.86 tff(30681,plain,
% 5.38/4.86 (~until2p7(s180)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8620, 8293, 30680, 30661])).
% 5.38/4.86 tff(30682,plain,
% 5.38/4.86 (~xuntil2p8(s179)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8626, 30681])).
% 5.38/4.86 tff(30683,plain,
% 5.38/4.86 (~m_main_v_state(s179, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8651, 145, 30654])).
% 5.38/4.86 tff(30684,plain,
% 5.38/4.86 (m_main_v_state(s179, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23199, 188, 30683])).
% 5.38/4.86 tff(30685,plain,
% 5.38/4.86 (~m_main_v_request(s179)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23178, 30684, 30658])).
% 5.38/4.86 tff(30686,plain,
% 5.38/4.86 (~node4(s179)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23167, 63, 30685])).
% 5.38/4.86 tff(30687,plain,
% 5.38/4.86 (xuntil2p8(s179) | (~until2p7(s179))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8631, 8293, 30686])).
% 5.38/4.86 tff(30688,plain,
% 5.38/4.86 (~until2p7(s179)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30687, 30682])).
% 5.38/4.86 tff(30689,plain,
% 5.38/4.86 (~xuntil2p8(s178)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8637, 30688])).
% 5.38/4.86 tff(30690,plain,
% 5.38/4.86 (~until2p7(s178)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8677, 30689])).
% 5.38/4.86 tff(30691,plain,
% 5.38/4.86 (~xuntil2p8(s177)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8682, 30690])).
% 5.38/4.86 tff(30692,plain,
% 5.38/4.86 (~until2p7(s177)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8716, 30691])).
% 5.38/4.86 tff(30693,plain,
% 5.38/4.86 (~xuntil2p8(s176)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8721, 30692])).
% 5.38/4.86 tff(30694,plain,
% 5.38/4.86 (~m_main_v_state(s177, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8706, 145, 30652])).
% 5.38/4.86 tff(30695,plain,
% 5.38/4.86 (~m_main_v_state(s176, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23111, 145, 30651])).
% 5.38/4.86 tff(30696,plain,
% 5.38/4.86 (m_main_v_state(s176, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23117, 188, 30695])).
% 5.38/4.86 tff(30697,plain,
% 5.38/4.86 (~m_main_v_request(s176)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23126, 30696, 30694])).
% 5.38/4.86 tff(30698,plain,
% 5.38/4.86 (~node4(s176)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23130, 63, 30697])).
% 5.38/4.86 tff(30699,plain,
% 5.38/4.86 (xuntil2p8(s176) | (~until2p7(s176))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8726, 8293, 30698])).
% 5.38/4.86 tff(30700,plain,
% 5.38/4.86 (~until2p7(s176)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30699, 30693])).
% 5.38/4.86 tff(30701,plain,
% 5.38/4.86 (~xuntil2p8(s175)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8732, 30700])).
% 5.38/4.86 tff(30702,plain,
% 5.38/4.86 (~m_main_v_state(s175, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22998, 145, 30650])).
% 5.38/4.86 tff(30703,plain,
% 5.38/4.86 (m_main_v_state(s175, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23152, 188, 30702])).
% 5.38/4.86 tff(30704,plain,
% 5.38/4.86 (~m_main_v_request(s175)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23146, 30703, 30695])).
% 5.38/4.86 tff(30705,plain,
% 5.38/4.86 (~node4(s175)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23137, 63, 30704])).
% 5.38/4.86 tff(30706,plain,
% 5.38/4.86 (xuntil2p8(s175) | (~until2p7(s175))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8737, 8293, 30705])).
% 5.38/4.86 tff(30707,plain,
% 5.38/4.86 (~until2p7(s175)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30706, 30701])).
% 5.38/4.86 tff(30708,plain,
% 5.38/4.86 (~xuntil2p8(s174)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8743, 30707])).
% 5.38/4.86 tff(30709,plain,
% 5.38/4.86 (~m_main_v_state(s174, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22810, 145, 30649])).
% 5.38/4.86 tff(30710,plain,
% 5.38/4.86 (m_main_v_state(s174, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23019, 188, 30709])).
% 5.38/4.86 tff(30711,plain,
% 5.38/4.86 (~m_main_v_request(s174)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23014, 30710, 30702])).
% 5.38/4.86 tff(30712,plain,
% 5.38/4.86 (~node4(s174)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23005, 63, 30711])).
% 5.38/4.86 tff(30713,plain,
% 5.38/4.86 (xuntil2p8(s174) | (~until2p7(s174))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8748, 8293, 30712])).
% 5.38/4.86 tff(30714,plain,
% 5.38/4.86 (~until2p7(s174)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30713, 30708])).
% 5.38/4.86 tff(30715,plain,
% 5.38/4.86 (~xuntil2p8(s173)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8754, 30714])).
% 5.38/4.86 tff(30716,plain,
% 5.38/4.86 (~m_main_v_state(s173, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22801, 145, 30648])).
% 5.38/4.86 tff(30717,plain,
% 5.38/4.86 (m_main_v_state(s173, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23919, 30716])).
% 5.38/4.86 tff(30718,plain,
% 5.38/4.86 (~m_main_v_request(s173)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22826, 30717, 30709])).
% 5.38/4.86 tff(30719,plain,
% 5.38/4.86 (~node4(s173)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22817, 63, 30718])).
% 5.38/4.86 tff(30720,plain,
% 5.38/4.86 (xuntil2p8(s173) | (~until2p7(s173))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8760, 8293, 30719])).
% 5.38/4.86 tff(30721,plain,
% 5.38/4.86 (~until2p7(s173)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30720, 30715])).
% 5.38/4.86 tff(30722,plain,
% 5.38/4.86 (~xuntil2p8(s172)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8766, 30721])).
% 5.38/4.86 tff(30723,plain,
% 5.38/4.86 (~m_main_v_state(s172, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22880, 145, 30647])).
% 5.38/4.86 tff(30724,plain,
% 5.38/4.86 (m_main_v_state(s172, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22948, 188, 30723])).
% 5.38/4.86 tff(30725,plain,
% 5.38/4.86 (~m_main_v_request(s172)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22942, 30724, 30716])).
% 5.38/4.86 tff(30726,plain,
% 5.38/4.86 (~node4(s172)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22933, 63, 30725])).
% 5.38/4.86 tff(30727,plain,
% 5.38/4.86 (xuntil2p8(s172) | (~until2p7(s172))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8772, 8293, 30726])).
% 5.38/4.86 tff(30728,plain,
% 5.38/4.86 (~until2p7(s172)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30727, 30722])).
% 5.38/4.86 tff(30729,plain,
% 5.38/4.86 (~xuntil2p8(s171)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8778, 30728])).
% 5.38/4.86 tff(30730,plain,
% 5.38/4.86 (~m_main_v_state(s171, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22872, 145, 30646])).
% 5.38/4.86 tff(30731,plain,
% 5.38/4.86 (m_main_v_state(s171, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22884, 188, 30730])).
% 5.38/4.86 tff(30732,plain,
% 5.38/4.86 (~m_main_v_request(s171)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22893, 30731, 30723])).
% 5.38/4.86 tff(30733,plain,
% 5.38/4.86 (~node4(s171)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22897, 63, 30732])).
% 5.38/4.86 tff(30734,plain,
% 5.38/4.86 (xuntil2p8(s171) | (~until2p7(s171))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8784, 8293, 30733])).
% 5.38/4.86 tff(30735,plain,
% 5.38/4.86 (~until2p7(s171)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30734, 30729])).
% 5.38/4.86 tff(30736,plain,
% 5.38/4.86 (~xuntil2p8(s170)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8790, 30735])).
% 5.38/4.86 tff(30737,plain,
% 5.38/4.86 (~m_main_v_state(s170, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22921, 145, 30645])).
% 5.38/4.86 tff(30738,plain,
% 5.38/4.86 (m_main_v_state(s170, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22925, 188, 30737])).
% 5.38/4.86 tff(30739,plain,
% 5.38/4.86 (~m_main_v_request(s170)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22913, 30738, 30730])).
% 5.38/4.86 tff(30740,plain,
% 5.38/4.86 (~node4(s170)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22904, 63, 30739])).
% 5.38/4.86 tff(30741,plain,
% 5.38/4.86 (xuntil2p8(s170) | (~until2p7(s170))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8796, 8293, 30740])).
% 5.38/4.86 tff(30742,plain,
% 5.38/4.86 (~until2p7(s170)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30741, 30736])).
% 5.38/4.86 tff(30743,plain,
% 5.38/4.86 (~xuntil2p8(s169)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8802, 30742])).
% 5.38/4.86 tff(30744,plain,
% 5.38/4.86 (~m_main_v_state(s169, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8828, 145, 30644])).
% 5.38/4.86 tff(30745,plain,
% 5.38/4.86 (m_main_v_state(s169, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23951, 30744])).
% 5.38/4.86 tff(30746,plain,
% 5.38/4.86 (~m_main_v_request(s169)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22966, 30745, 30737])).
% 5.38/4.86 tff(30747,plain,
% 5.38/4.86 (~node4(s169)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22970, 63, 30746])).
% 5.38/4.86 tff(30748,plain,
% 5.38/4.86 (xuntil2p8(s169) | (~until2p7(s169))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8808, 8293, 30747])).
% 5.38/4.86 tff(30749,plain,
% 5.38/4.86 (~until2p7(s169)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30748, 30743])).
% 5.38/4.86 tff(30750,plain,
% 5.38/4.86 (~xuntil2p8(s168)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8814, 30749])).
% 5.38/4.86 tff(30751,plain,
% 5.38/4.86 (~until2p7(s168)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8854, 30750])).
% 5.38/4.86 tff(30752,plain,
% 5.38/4.86 (~xuntil2p8(s167)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8859, 30751])).
% 5.38/4.86 tff(30753,plain,
% 5.38/4.86 (~m_main_v_state(s168, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8844, 145, 30643])).
% 5.38/4.86 tff(30754,plain,
% 5.38/4.86 (~m_main_v_state(s167, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8886, 145, 30642])).
% 5.38/4.86 tff(30755,plain,
% 5.38/4.86 (m_main_v_state(s167, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[23981, 30754])).
% 5.38/4.86 tff(30756,plain,
% 5.38/4.86 (~m_main_v_request(s167)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22436, 30755, 30753])).
% 5.38/4.86 tff(30757,plain,
% 5.38/4.86 (~node4(s167)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22427, 63, 30756])).
% 5.38/4.86 tff(30758,plain,
% 5.38/4.86 (xuntil2p8(s167) | (~until2p7(s167))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8866, 8293, 30757])).
% 5.38/4.86 tff(30759,plain,
% 5.38/4.86 (~until2p7(s167)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30758, 30752])).
% 5.38/4.86 tff(30760,plain,
% 5.38/4.86 (~xuntil2p8(s166)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8872, 30759])).
% 5.38/4.86 tff(30761,plain,
% 5.38/4.86 (~until2p7(s166)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8912, 30760])).
% 5.38/4.86 tff(30762,plain,
% 5.38/4.86 (~xuntil2p8(s165)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8917, 30761])).
% 5.38/4.86 tff(30763,plain,
% 5.38/4.86 (~until2p7(s165)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8951, 30762])).
% 5.38/4.86 tff(30764,plain,
% 5.38/4.86 (~xuntil2p8(s164)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8956, 30763])).
% 5.38/4.86 tff(30765,plain,
% 5.38/4.86 (~until2p7(s164)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8990, 30764])).
% 5.38/4.86 tff(30766,plain,
% 5.38/4.86 (~xuntil2p8(s163)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8995, 30765])).
% 5.38/4.86 tff(30767,plain,
% 5.38/4.86 (~m_main_v_state(s164, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[8980, 145, 30639])).
% 5.38/4.86 tff(30768,plain,
% 5.38/4.86 (~m_main_v_state(s163, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4567, 145, 30638])).
% 5.38/4.86 tff(30769,plain,
% 5.38/4.86 (m_main_v_state(s163, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22391, 188, 30768])).
% 5.38/4.86 tff(30770,plain,
% 5.38/4.86 (~m_main_v_request(s163)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22386, 30769, 30767])).
% 5.38/4.86 tff(30771,plain,
% 5.38/4.86 (~node4(s163)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[22377, 63, 30770])).
% 5.38/4.86 tff(30772,plain,
% 5.38/4.86 (xuntil2p8(s163) | (~until2p7(s163))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9004, 8293, 30771])).
% 5.38/4.86 tff(30773,plain,
% 5.38/4.86 (~until2p7(s163)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30772, 30766])).
% 5.38/4.86 tff(30774,plain,
% 5.38/4.86 (~xuntil2p8(s162)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9010, 30773])).
% 5.38/4.86 tff(30775,plain,
% 5.38/4.86 (~until2p7(s162)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9015, 30774])).
% 5.38/4.86 tff(30776,plain,
% 5.38/4.86 (~xuntil2p8(s161)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9020, 30775])).
% 5.38/4.86 tff(30777,plain,
% 5.38/4.86 (~m_main_v_state(s162, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[4583, 145, 30637])).
% 5.38/4.86 tff(30778,plain,
% 5.38/4.86 (~m_main_v_state(s161, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9047, 145, 30636])).
% 5.38/4.86 tff(30779,plain,
% 5.38/4.86 (m_main_v_state(s161, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21448, 188, 30778])).
% 5.38/4.86 tff(30780,plain,
% 5.38/4.86 (~m_main_v_request(s161)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21457, 30779, 30777])).
% 5.38/4.86 tff(30781,plain,
% 5.38/4.86 (~node4(s161)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21461, 63, 30780])).
% 5.38/4.86 tff(30782,plain,
% 5.38/4.86 (xuntil2p8(s161) | (~until2p7(s161))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9027, 8293, 30781])).
% 5.38/4.86 tff(30783,plain,
% 5.38/4.86 (~until2p7(s161)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30782, 30776])).
% 5.38/4.86 tff(30784,plain,
% 5.38/4.86 (~xuntil2p8(s160)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9033, 30783])).
% 5.38/4.86 tff(30785,plain,
% 5.38/4.86 (~until2p7(s160)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9073, 30784])).
% 5.38/4.86 tff(30786,plain,
% 5.38/4.86 (~xuntil2p8(s159)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9078, 30785])).
% 5.38/4.86 tff(30787,plain,
% 5.38/4.86 (~m_main_v_state(s160, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9063, 145, 30635])).
% 5.38/4.86 tff(30788,plain,
% 5.38/4.86 (~m_main_v_state(s159, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21547, 145, 30634])).
% 5.38/4.86 tff(30789,plain,
% 5.38/4.86 (~m_main_v_state(s158, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21560, 145, 30633])).
% 5.38/4.86 tff(30790,plain,
% 5.38/4.86 (m_main_v_state(s158, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21583, 30789])).
% 5.38/4.86 tff(30791,plain,
% 5.38/4.86 (m_main_v_state(s159, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21609, 30790, 30788])).
% 5.38/4.86 tff(30792,plain,
% 5.38/4.86 (~m_main_v_request(s159)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21540, 30791, 30787])).
% 5.38/4.86 tff(30793,plain,
% 5.38/4.86 (~node4(s159)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21510, 63, 30792])).
% 5.38/4.86 tff(30794,plain,
% 5.38/4.86 (xuntil2p8(s159) | (~until2p7(s159))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9085, 8293, 30793])).
% 5.38/4.86 tff(30795,plain,
% 5.38/4.86 (~until2p7(s159)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30794, 30786])).
% 5.38/4.86 tff(30796,plain,
% 5.38/4.86 (~xuntil2p8(s158)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9091, 30795])).
% 5.38/4.86 tff(30797,plain,
% 5.38/4.86 (~node4(s158)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21625, 30788])).
% 5.38/4.86 tff(30798,plain,
% 5.38/4.86 (xuntil2p8(s158) | (~until2p7(s158))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9097, 8293, 30797])).
% 5.38/4.86 tff(30799,plain,
% 5.38/4.86 (~until2p7(s158)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30798, 30796])).
% 5.38/4.86 tff(30800,plain,
% 5.38/4.86 (~xuntil2p8(s157)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9103, 30799])).
% 5.38/4.86 tff(30801,plain,
% 5.38/4.86 (~m_main_v_state(s157, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21636, 145, 30632])).
% 5.38/4.86 tff(30802,plain,
% 5.38/4.86 (m_main_v_state(s157, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21640, 188, 30801])).
% 5.38/4.86 tff(30803,plain,
% 5.38/4.86 (~m_main_v_request(s157)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21649, 30802, 30789])).
% 5.38/4.86 tff(30804,plain,
% 5.38/4.86 (~node4(s157)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21653, 63, 30803])).
% 5.38/4.86 tff(30805,plain,
% 5.38/4.86 (xuntil2p8(s157) | (~until2p7(s157))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9109, 8293, 30804])).
% 5.38/4.86 tff(30806,plain,
% 5.38/4.86 (~until2p7(s157)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30805, 30800])).
% 5.38/4.86 tff(30807,plain,
% 5.38/4.86 (~xuntil2p8(s156)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9115, 30806])).
% 5.38/4.86 tff(30808,plain,
% 5.38/4.86 (~m_main_v_state(s156, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21663, 145, 30631])).
% 5.38/4.86 tff(30809,plain,
% 5.38/4.86 (m_main_v_state(s156, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21667, 188, 30808])).
% 5.38/4.86 tff(30810,plain,
% 5.38/4.86 (~m_main_v_request(s156)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21751, 30809, 30801])).
% 5.38/4.86 tff(30811,plain,
% 5.38/4.86 (~node4(s156)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21742, 63, 30810])).
% 5.38/4.86 tff(30812,plain,
% 5.38/4.86 (xuntil2p8(s156) | (~until2p7(s156))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9121, 8293, 30811])).
% 5.38/4.86 tff(30813,plain,
% 5.38/4.86 (~until2p7(s156)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30812, 30807])).
% 5.38/4.86 tff(30814,plain,
% 5.38/4.86 (~xuntil2p8(s155)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9127, 30813])).
% 5.38/4.86 tff(30815,plain,
% 5.38/4.86 (~m_main_v_state(s155, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21693, 145, 30630])).
% 5.38/4.86 tff(30816,plain,
% 5.38/4.86 (m_main_v_state(s155, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21698, 188, 30815])).
% 5.38/4.86 tff(30817,plain,
% 5.38/4.86 (~m_main_v_request(s155)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21707, 30816, 30808])).
% 5.38/4.86 tff(30818,plain,
% 5.38/4.86 (~node4(s155)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21711, 63, 30817])).
% 5.38/4.86 tff(30819,plain,
% 5.38/4.86 (xuntil2p8(s155) | (~until2p7(s155))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9133, 8293, 30818])).
% 5.38/4.86 tff(30820,plain,
% 5.38/4.86 (~until2p7(s155)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30819, 30814])).
% 5.38/4.86 tff(30821,plain,
% 5.38/4.86 (~xuntil2p8(s154)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9139, 30820])).
% 5.38/4.86 tff(30822,plain,
% 5.38/4.86 (~m_main_v_state(s154, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9165, 145, 30629])).
% 5.38/4.86 tff(30823,plain,
% 5.38/4.86 (m_main_v_state(s154, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21733, 188, 30822])).
% 5.38/4.86 tff(30824,plain,
% 5.38/4.86 (~m_main_v_request(s154)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21727, 30823, 30815])).
% 5.38/4.86 tff(30825,plain,
% 5.38/4.86 (~node4(s154)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21718, 63, 30824])).
% 5.38/4.86 tff(30826,plain,
% 5.38/4.86 (xuntil2p8(s154) | (~until2p7(s154))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9145, 8293, 30825])).
% 5.38/4.86 tff(30827,plain,
% 5.38/4.86 (~until2p7(s154)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30826, 30821])).
% 5.38/4.86 tff(30828,plain,
% 5.38/4.86 (~xuntil2p8(s153)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9151, 30827])).
% 5.38/4.86 tff(30829,plain,
% 5.38/4.86 (~until2p7(s153)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9191, 30828])).
% 5.38/4.86 tff(30830,plain,
% 5.38/4.86 (~xuntil2p8(s152)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9196, 30829])).
% 5.38/4.86 tff(30831,plain,
% 5.38/4.86 (~until2p7(s152)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9230, 30830])).
% 5.38/4.86 tff(30832,plain,
% 5.38/4.86 (~xuntil2p8(s151)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9235, 30831])).
% 5.38/4.86 tff(30833,plain,
% 5.38/4.86 (~m_main_v_state(s152, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9220, 145, 30627])).
% 5.38/4.86 tff(30834,plain,
% 5.38/4.86 (~m_main_v_state(s151, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21839, 145, 30626])).
% 5.38/4.86 tff(30835,plain,
% 5.38/4.86 (m_main_v_state(s151, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[24065, 30834])).
% 5.38/4.86 tff(30836,plain,
% 5.38/4.86 (~m_main_v_request(s151)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21852, 30835, 30833])).
% 5.38/4.86 tff(30837,plain,
% 5.38/4.86 (~node4(s151)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21856, 63, 30836])).
% 5.38/4.86 tff(30838,plain,
% 5.38/4.86 (xuntil2p8(s151) | (~until2p7(s151))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9243, 8293, 30837])).
% 5.38/4.86 tff(30839,plain,
% 5.38/4.86 (~until2p7(s151)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30838, 30832])).
% 5.38/4.86 tff(30840,plain,
% 5.38/4.86 (~xuntil2p8(s150)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9249, 30839])).
% 5.38/4.86 tff(30841,plain,
% 5.38/4.86 (~m_main_v_state(s150, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21867, 145, 30625])).
% 5.38/4.86 tff(30842,plain,
% 5.38/4.86 (m_main_v_state(s150, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21891, 188, 30841])).
% 5.38/4.86 tff(30843,plain,
% 5.38/4.86 (~m_main_v_request(s150)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21886, 30842, 30834])).
% 5.38/4.86 tff(30844,plain,
% 5.38/4.86 (~node4(s150)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21877, 63, 30843])).
% 5.38/4.86 tff(30845,plain,
% 5.38/4.86 (xuntil2p8(s150) | (~until2p7(s150))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9255, 8293, 30844])).
% 5.38/4.86 tff(30846,plain,
% 5.38/4.86 (~until2p7(s150)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30845, 30840])).
% 5.38/4.86 tff(30847,plain,
% 5.38/4.86 (~xuntil2p8(s149)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9261, 30846])).
% 5.38/4.86 tff(30848,plain,
% 5.38/4.86 (~m_main_v_state(s149, c_busy)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9287, 145, 30624])).
% 5.38/4.86 tff(30849,plain,
% 5.38/4.86 (m_main_v_state(s149, c_ready)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[24102, 30848])).
% 5.38/4.86 tff(30850,plain,
% 5.38/4.86 (~m_main_v_request(s149)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21912, 30849, 30841])).
% 5.38/4.86 tff(30851,plain,
% 5.38/4.86 (~node4(s149)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[21903, 63, 30850])).
% 5.38/4.86 tff(30852,plain,
% 5.38/4.86 (xuntil2p8(s149) | (~until2p7(s149))),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9267, 8293, 30851])).
% 5.38/4.86 tff(30853,plain,
% 5.38/4.86 (~until2p7(s149)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[30852, 30847])).
% 5.38/4.86 tff(30854,plain,
% 5.38/4.86 (~xuntil2p8(s148)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9273, 30853])).
% 5.38/4.86 tff(30855,plain,
% 5.38/4.86 (~until2p7(s148)),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9313, 30854])).
% 5.38/4.86 tff(30856,plain,
% 5.38/4.86 ($false),
% 5.38/4.86 inference(unit_resolution,[status(thm)],[9318, 30855, 30620])).
% 5.38/4.86 tff(30857,plain,(always3(s115) | node4(s199) | (~until5(s111)) | trans(s199, s36) | trans(s199, s100) | trans(s199, s83) | trans(s199, s50) | trans(s199, s87) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s63) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s30) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s46) | trans(s199, s108) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s185)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.86 tff(30858,plain,
% 5.39/4.86 (always3(s115) | node4(s199) | (~until5(s111)) | trans(s199, s36) | trans(s199, s100) | trans(s199, s83) | trans(s199, s50) | trans(s199, s87) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s63) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s30) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s46) | trans(s199, s108) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[30857, 16109])).
% 5.39/4.86 tff(30859,plain,
% 5.39/4.86 (~until5(s111)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[30858, 24756, 18474, 24754, 24743, 24732, 24731, 24721, 24720, 24719, 24718, 24707, 24706, 24705, 24704, 24693, 24683, 24673, 24672, 24662, 24661, 24660, 24659, 24658, 24657, 24656, 24655, 24644, 24643, 24642, 24641, 24631, 24620, 24619, 24618, 24617, 24616, 24615, 24614, 24613, 24603, 24593, 24592, 24591, 24590, 24589, 24588, 24577, 24576, 24575, 24574, 24564, 24563, 24562, 24561, 24560, 24559, 24558, 24557, 24547, 24546, 24545, 24534, 24533, 24532, 24531, 24530, 24529, 24528, 24527, 24526, 24516, 24515, 24504, 24503, 24492, 24482, 24481, 24471, 24470, 24469, 24468, 24457, 24446, 24445, 24444, 24443, 24432, 24431, 24430, 24429, 24418, 24408, 24398, 24388, 24387, 24386, 24385, 24374, 24364, 24363, 24358, 24357, 24347, 24337, 24336, 24335, 24325, 24314, 24313, 24312, 24311, 24310, 24309, 24252, 18264])).
% 5.39/4.86 tff(30860,plain,
% 5.39/4.86 (~xuntil6(s110)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7707, 30859])).
% 5.39/4.86 tff(30861,plain,
% 5.39/4.86 (node4(s110) | (~until5(s110))),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7701, 225, 30860])).
% 5.39/4.86 tff(30862,plain,
% 5.39/4.86 (~until5(s110)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[30861, 24203])).
% 5.39/4.86 tff(30863,plain,
% 5.39/4.86 (~xuntil6(s109)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7690, 30862])).
% 5.39/4.86 tff(30864,plain,
% 5.39/4.86 (~until5(s109)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7684, 225, 30863, 24202])).
% 5.39/4.86 tff(30865,plain,
% 5.39/4.86 (~xuntil6(s108)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7673, 30864])).
% 5.39/4.86 tff(30866,plain,
% 5.39/4.86 (~node4(s108)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7660, 113, 24204])).
% 5.39/4.86 tff(30867,plain,
% 5.39/4.86 (xuntil6(s108) | (~until5(s108))),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7667, 225, 30866])).
% 5.39/4.86 tff(30868,plain,
% 5.39/4.86 (~until5(s108)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[30867, 30865])).
% 5.39/4.86 tff(30869,plain,
% 5.39/4.86 (~xuntil6(s107)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7656, 30868])).
% 5.39/4.86 tff(30870,plain,
% 5.39/4.86 (~node4(s107)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7643, 113, 24205])).
% 5.39/4.86 tff(30871,plain,
% 5.39/4.86 (xuntil6(s107) | (~until5(s107))),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7650, 225, 30870])).
% 5.39/4.86 tff(30872,plain,
% 5.39/4.86 (~until5(s107)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[30871, 30869])).
% 5.39/4.86 tff(30873,plain,
% 5.39/4.86 (~node4(s104)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5716, 113, 24208])).
% 5.39/4.86 tff(30874,plain,
% 5.39/4.86 (~node4(s38)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[2678, 113, 24275])).
% 5.39/4.86 tff(30875,plain,
% 5.39/4.86 (xuntil6(s15)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[642, 24298])).
% 5.39/4.86 tff(30876,plain,
% 5.39/4.86 (until5(s16)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[1292, 30875])).
% 5.39/4.86 tff(30877,plain,
% 5.39/4.86 (xuntil6(s37)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[2661, 30876, 24276])).
% 5.39/4.86 tff(30878,plain,
% 5.39/4.86 (until5(s38)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[2666, 30877])).
% 5.39/4.86 tff(30879,plain,
% 5.39/4.86 (xuntil6(s38) | node4(s38)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[2673, 225, 30878])).
% 5.39/4.86 tff(30880,plain,
% 5.39/4.86 (xuntil6(s38)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[30879, 30874])).
% 5.39/4.86 tff(30881,plain,
% 5.39/4.86 (until5(s39)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[3122, 30880])).
% 5.39/4.86 tff(30882,plain,
% 5.39/4.86 (xuntil6(s103)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7588, 30881, 24209])).
% 5.39/4.86 tff(30883,plain,
% 5.39/4.86 (until5(s104)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7593, 30882])).
% 5.39/4.86 tff(30884,plain,
% 5.39/4.86 (xuntil6(s104)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7600, 225, 30883, 30873])).
% 5.39/4.86 tff(30885,plain,
% 5.39/4.86 (until5(s105)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7605, 30884])).
% 5.39/4.86 tff(30886,plain,
% 5.39/4.86 (~node4(s105)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7609, 113, 24207])).
% 5.39/4.86 tff(30887,plain,
% 5.39/4.86 (xuntil6(s105) | (~until5(s105))),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7616, 225, 30886])).
% 5.39/4.86 tff(30888,plain,
% 5.39/4.86 (xuntil6(s105)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[30887, 30885])).
% 5.39/4.86 tff(30889,plain,
% 5.39/4.86 (until5(s106)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7622, 30888])).
% 5.39/4.86 tff(30890,plain,
% 5.39/4.86 (~node4(s106)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7626, 113, 24206])).
% 5.39/4.86 tff(30891,plain,
% 5.39/4.86 (xuntil6(s106) | (~until5(s106))),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7633, 225, 30890])).
% 5.39/4.86 tff(30892,plain,
% 5.39/4.86 (xuntil6(s106)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[30891, 30889])).
% 5.39/4.86 tff(30893,plain,
% 5.39/4.86 ($false),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[7639, 30892, 30872])).
% 5.39/4.86 tff(30894,plain,(always3(s115) | node4(s199)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.86 tff(30895,plain,
% 5.39/4.86 (always3(s115)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[30894, 18474])).
% 5.39/4.86 tff(30896,plain,
% 5.39/4.86 (always3(s116)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5580, 30895])).
% 5.39/4.86 tff(30897,plain,
% 5.39/4.86 (always3(s117)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5568, 30896])).
% 5.39/4.86 tff(30898,plain,
% 5.39/4.86 (always3(s118)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5556, 30897])).
% 5.39/4.86 tff(30899,plain,
% 5.39/4.86 (always3(s119)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5544, 30898])).
% 5.39/4.86 tff(30900,plain,
% 5.39/4.86 (always3(s120)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5532, 30899])).
% 5.39/4.86 tff(30901,plain,
% 5.39/4.86 (always3(s121)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5520, 30900])).
% 5.39/4.86 tff(30902,plain,
% 5.39/4.86 (always3(s122)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5508, 30901])).
% 5.39/4.86 tff(30903,plain,
% 5.39/4.86 (always3(s123)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5496, 30902])).
% 5.39/4.86 tff(30904,plain,
% 5.39/4.86 (always3(s124)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5484, 30903])).
% 5.39/4.86 tff(30905,plain,
% 5.39/4.86 (always3(s125)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5472, 30904])).
% 5.39/4.86 tff(30906,plain,
% 5.39/4.86 (always3(s126)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5460, 30905])).
% 5.39/4.86 tff(30907,plain,
% 5.39/4.86 (always3(s127)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5448, 30906])).
% 5.39/4.86 tff(30908,plain,
% 5.39/4.86 (always3(s128)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5436, 30907])).
% 5.39/4.86 tff(30909,plain,
% 5.39/4.86 (always3(s129)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5412, 30908])).
% 5.39/4.86 tff(30910,plain,
% 5.39/4.86 (always3(s130)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5383, 30909])).
% 5.39/4.86 tff(30911,plain,
% 5.39/4.86 (always3(s131)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5354, 30910])).
% 5.39/4.86 tff(30912,plain,
% 5.39/4.86 (always3(s132)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5325, 30911])).
% 5.39/4.86 tff(30913,plain,
% 5.39/4.86 (always3(s133)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5296, 30912])).
% 5.39/4.86 tff(30914,plain,
% 5.39/4.86 (always3(s134)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5267, 30913])).
% 5.39/4.86 tff(30915,plain,
% 5.39/4.86 (always3(s135)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5238, 30914])).
% 5.39/4.86 tff(30916,plain,
% 5.39/4.86 (always3(s136)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5209, 30915])).
% 5.39/4.86 tff(30917,plain,
% 5.39/4.86 (always3(s137)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5180, 30916])).
% 5.39/4.86 tff(30918,plain,
% 5.39/4.86 (always3(s138)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5151, 30917])).
% 5.39/4.86 tff(30919,plain,
% 5.39/4.86 (always3(s139)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5122, 30918])).
% 5.39/4.86 tff(30920,plain,
% 5.39/4.86 (always3(s140)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5093, 30919])).
% 5.39/4.86 tff(30921,plain,
% 5.39/4.86 (always3(s141)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5064, 30920])).
% 5.39/4.86 tff(30922,plain,
% 5.39/4.86 (always3(s142)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5035, 30921])).
% 5.39/4.86 tff(30923,plain,
% 5.39/4.86 (always3(s143)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[5006, 30922])).
% 5.39/4.86 tff(30924,plain,
% 5.39/4.86 (always3(s144)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4968, 30923])).
% 5.39/4.86 tff(30925,plain,
% 5.39/4.86 (always3(s145)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4334, 30924])).
% 5.39/4.86 tff(30926,plain,
% 5.39/4.86 (always3(s146)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4322, 30925])).
% 5.39/4.86 tff(30927,plain,
% 5.39/4.86 (always3(s147)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4310, 30926])).
% 5.39/4.86 tff(30928,plain,
% 5.39/4.86 (always3(s148)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4298, 30927])).
% 5.39/4.86 tff(30929,plain,
% 5.39/4.86 (always3(s149)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4286, 30928])).
% 5.39/4.86 tff(30930,plain,
% 5.39/4.86 (always3(s150)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4274, 30929])).
% 5.39/4.86 tff(30931,plain,
% 5.39/4.86 (always3(s151)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4262, 30930])).
% 5.39/4.86 tff(30932,plain,
% 5.39/4.86 (always3(s152)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4250, 30931])).
% 5.39/4.86 tff(30933,plain,
% 5.39/4.86 (always3(s153)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4238, 30932])).
% 5.39/4.86 tff(30934,plain,
% 5.39/4.86 (always3(s154)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4226, 30933])).
% 5.39/4.86 tff(30935,plain,
% 5.39/4.86 (always3(s155)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4214, 30934])).
% 5.39/4.86 tff(30936,plain,
% 5.39/4.86 (always3(s156)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4202, 30935])).
% 5.39/4.86 tff(30937,plain,
% 5.39/4.86 (always3(s157)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4190, 30936])).
% 5.39/4.86 tff(30938,plain,
% 5.39/4.86 (always3(s158)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4178, 30937])).
% 5.39/4.86 tff(30939,plain,
% 5.39/4.86 (always3(s159)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4166, 30938])).
% 5.39/4.86 tff(30940,plain,
% 5.39/4.86 (always3(s160)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4154, 30939])).
% 5.39/4.86 tff(30941,plain,
% 5.39/4.86 (always3(s161)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4142, 30940])).
% 5.39/4.86 tff(30942,plain,
% 5.39/4.86 (always3(s162)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4130, 30941])).
% 5.39/4.86 tff(30943,plain,
% 5.39/4.86 (always3(s163)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4118, 30942])).
% 5.39/4.86 tff(30944,plain,
% 5.39/4.86 (always3(s164)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4106, 30943])).
% 5.39/4.86 tff(30945,plain,
% 5.39/4.86 (always3(s165)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4094, 30944])).
% 5.39/4.86 tff(30946,plain,
% 5.39/4.86 (always3(s166)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4082, 30945])).
% 5.39/4.86 tff(30947,plain,
% 5.39/4.86 (always3(s167)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4070, 30946])).
% 5.39/4.86 tff(30948,plain,
% 5.39/4.86 (always3(s168)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4058, 30947])).
% 5.39/4.86 tff(30949,plain,
% 5.39/4.86 (always3(s169)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4046, 30948])).
% 5.39/4.86 tff(30950,plain,
% 5.39/4.86 (always3(s170)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4034, 30949])).
% 5.39/4.86 tff(30951,plain,
% 5.39/4.86 (always3(s171)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4022, 30950])).
% 5.39/4.86 tff(30952,plain,
% 5.39/4.86 (always3(s172)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[4010, 30951])).
% 5.39/4.86 tff(30953,plain,
% 5.39/4.86 (always3(s173)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[3998, 30952])).
% 5.39/4.86 tff(30954,plain,
% 5.39/4.86 (always3(s174)),
% 5.39/4.86 inference(unit_resolution,[status(thm)],[3986, 30953])).
% 5.39/4.87 tff(30955,plain,
% 5.39/4.87 (always3(s175)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[3973, 30954])).
% 5.39/4.87 tff(30956,plain,
% 5.39/4.87 (always3(s176)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[3961, 30955])).
% 5.39/4.87 tff(30957,plain,
% 5.39/4.87 (always3(s177)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[3949, 30956])).
% 5.39/4.87 tff(30958,plain,
% 5.39/4.87 (always3(s178)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[3937, 30957])).
% 5.39/4.87 tff(30959,plain,
% 5.39/4.87 (always3(s179)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[3925, 30958])).
% 5.39/4.87 tff(30960,plain,
% 5.39/4.87 (always3(s180)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[3913, 30959])).
% 5.39/4.87 tff(30961,plain,
% 5.39/4.87 (always3(s181)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[3901, 30960])).
% 5.39/4.87 tff(30962,plain,
% 5.39/4.87 (~m_main_v_state(s181, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23041, 145, 30961])).
% 5.39/4.87 tff(30963,plain,
% 5.39/4.87 (~m_main_v_state(s180, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23086, 145, 30960])).
% 5.39/4.87 tff(30964,plain,
% 5.39/4.87 (m_main_v_state(s180, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23090, 188, 30963])).
% 5.39/4.87 tff(30965,plain,
% 5.39/4.87 (~m_main_v_request(s180)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23079, 30964, 30962])).
% 5.39/4.87 tff(30966,plain,
% 5.39/4.87 (~node4(s180)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23070, 63, 30965])).
% 5.39/4.87 tff(30967,plain,
% 5.39/4.87 (always3(s182)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[3885, 30961])).
% 5.39/4.87 tff(30968,plain,
% 5.39/4.87 (~m_main_v_state(s182, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8159, 145, 30967])).
% 5.39/4.87 tff(30969,plain,
% 5.39/4.87 (m_main_v_state(s181, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23045, 188, 30962])).
% 5.39/4.87 tff(30970,plain,
% 5.39/4.87 (~m_main_v_request(s181)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23054, 30969, 30968])).
% 5.39/4.87 tff(30971,plain,
% 5.39/4.87 (~node4(s181)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23058, 63, 30970])).
% 5.39/4.87 tff(30972,plain,
% 5.39/4.87 (always3(s183)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[3873, 30967])).
% 5.39/4.87 tff(30973,plain,
% 5.39/4.87 (always3(s184)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[3857, 30972])).
% 5.39/4.87 tff(30974,plain,
% 5.39/4.87 (~m_main_v_state(s184, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8570, 145, 30973])).
% 5.39/4.87 tff(30975,plain,
% 5.39/4.87 (~m_main_v_state(s183, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8143, 145, 30972])).
% 5.39/4.87 tff(30976,plain,
% 5.39/4.87 (m_main_v_state(s182, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23834, 30968])).
% 5.39/4.87 tff(30977,plain,
% 5.39/4.87 (m_main_v_state(s183, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23852, 30976, 30975])).
% 5.39/4.87 tff(30978,plain,
% 5.39/4.87 (~m_main_v_request(s183)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23248, 30977, 30974])).
% 5.39/4.87 tff(30979,plain,
% 5.39/4.87 (~node4(s183)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23239, 63, 30978])).
% 5.39/4.87 tff(30980,plain,
% 5.39/4.87 (~until2p7(s185)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[16110, 24821])).
% 5.39/4.87 tff(30981,plain,
% 5.39/4.87 (~xuntil2p8(s184)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8540, 30980])).
% 5.39/4.87 tff(30982,plain,
% 5.39/4.87 (~until2p7(s184)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8580, 30981])).
% 5.39/4.87 tff(30983,plain,
% 5.39/4.87 (~xuntil2p8(s183)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8585, 30982])).
% 5.39/4.87 tff(30984,plain,
% 5.39/4.87 (node4(s183) | (~until2p7(s183))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8589, 8293, 30983])).
% 5.39/4.87 tff(30985,plain,
% 5.39/4.87 (~until2p7(s183)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[30984, 30979])).
% 5.39/4.87 tff(30986,plain,
% 5.39/4.87 (~xuntil2p8(s182)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8595, 30985])).
% 5.39/4.87 tff(30987,plain,
% 5.39/4.87 (~until2p7(s182)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8600, 30986])).
% 5.39/4.87 tff(30988,plain,
% 5.39/4.87 (~xuntil2p8(s181)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8605, 30987])).
% 5.39/4.87 tff(30989,plain,
% 5.39/4.87 (~until2p7(s181)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8609, 8293, 30988, 30971])).
% 5.39/4.87 tff(30990,plain,
% 5.39/4.87 (~xuntil2p8(s180)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8615, 30989])).
% 5.39/4.87 tff(30991,plain,
% 5.39/4.87 (~until2p7(s180)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8620, 8293, 30990, 30966])).
% 5.39/4.87 tff(30992,plain,
% 5.39/4.87 (~xuntil2p8(s179)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8626, 30991])).
% 5.39/4.87 tff(30993,plain,
% 5.39/4.87 (~m_main_v_state(s179, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8651, 145, 30959])).
% 5.39/4.87 tff(30994,assumption,(~m_main_v_state(s179, c_ready)), introduced(assumption)).
% 5.39/4.87 tff(30995,assumption,(~m_main_v_state(s179, c_busy)), introduced(assumption)).
% 5.39/4.87 tff(30996,plain,
% 5.39/4.87 ($false),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23199, 188, 30995, 30994])).
% 5.39/4.87 tff(30997,plain,(m_main_v_state(s179, c_ready) | m_main_v_state(s179, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.87 tff(30998,plain,
% 5.39/4.87 (m_main_v_state(s179, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[30997, 30993])).
% 5.39/4.87 tff(30999,plain,
% 5.39/4.87 (~m_main_v_request(s179)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23178, 30998, 30963])).
% 5.39/4.87 tff(31000,plain,
% 5.39/4.87 (~node4(s179)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23167, 63, 30999])).
% 5.39/4.87 tff(31001,plain,
% 5.39/4.87 (xuntil2p8(s179) | (~until2p7(s179))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8631, 8293, 31000])).
% 5.39/4.87 tff(31002,plain,
% 5.39/4.87 (~until2p7(s179)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31001, 30992])).
% 5.39/4.87 tff(31003,plain,
% 5.39/4.87 (~xuntil2p8(s178)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8637, 31002])).
% 5.39/4.87 tff(31004,plain,
% 5.39/4.87 (~until2p7(s178)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8677, 31003])).
% 5.39/4.87 tff(31005,plain,
% 5.39/4.87 (~xuntil2p8(s177)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8682, 31004])).
% 5.39/4.87 tff(31006,plain,
% 5.39/4.87 (~until2p7(s177)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8716, 31005])).
% 5.39/4.87 tff(31007,plain,
% 5.39/4.87 (~xuntil2p8(s176)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8721, 31006])).
% 5.39/4.87 tff(31008,plain,
% 5.39/4.87 (~m_main_v_state(s177, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8706, 145, 30957])).
% 5.39/4.87 tff(31009,plain,
% 5.39/4.87 (~m_main_v_state(s176, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23111, 145, 30956])).
% 5.39/4.87 tff(31010,plain,
% 5.39/4.87 (m_main_v_state(s176, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23117, 188, 31009])).
% 5.39/4.87 tff(31011,plain,
% 5.39/4.87 (~m_main_v_request(s176)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23126, 31010, 31008])).
% 5.39/4.87 tff(31012,plain,
% 5.39/4.87 (~node4(s176)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23130, 63, 31011])).
% 5.39/4.87 tff(31013,plain,
% 5.39/4.87 (xuntil2p8(s176) | (~until2p7(s176))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8726, 8293, 31012])).
% 5.39/4.87 tff(31014,plain,
% 5.39/4.87 (~until2p7(s176)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31013, 31007])).
% 5.39/4.87 tff(31015,plain,
% 5.39/4.87 (~xuntil2p8(s175)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8732, 31014])).
% 5.39/4.87 tff(31016,plain,
% 5.39/4.87 (~m_main_v_state(s175, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22998, 145, 30955])).
% 5.39/4.87 tff(31017,plain,
% 5.39/4.87 (m_main_v_state(s175, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23152, 188, 31016])).
% 5.39/4.87 tff(31018,plain,
% 5.39/4.87 (~m_main_v_request(s175)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23146, 31017, 31009])).
% 5.39/4.87 tff(31019,plain,
% 5.39/4.87 (~node4(s175)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23137, 63, 31018])).
% 5.39/4.87 tff(31020,plain,
% 5.39/4.87 (xuntil2p8(s175) | (~until2p7(s175))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8737, 8293, 31019])).
% 5.39/4.87 tff(31021,plain,
% 5.39/4.87 (~until2p7(s175)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31020, 31015])).
% 5.39/4.87 tff(31022,plain,
% 5.39/4.87 (~xuntil2p8(s174)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8743, 31021])).
% 5.39/4.87 tff(31023,plain,
% 5.39/4.87 (~m_main_v_state(s174, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22810, 145, 30954])).
% 5.39/4.87 tff(31024,plain,
% 5.39/4.87 (m_main_v_state(s174, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23019, 188, 31023])).
% 5.39/4.87 tff(31025,plain,
% 5.39/4.87 (~m_main_v_request(s174)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23014, 31024, 31016])).
% 5.39/4.87 tff(31026,plain,
% 5.39/4.87 (~node4(s174)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23005, 63, 31025])).
% 5.39/4.87 tff(31027,plain,
% 5.39/4.87 (xuntil2p8(s174) | (~until2p7(s174))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8748, 8293, 31026])).
% 5.39/4.87 tff(31028,plain,
% 5.39/4.87 (~until2p7(s174)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31027, 31022])).
% 5.39/4.87 tff(31029,plain,
% 5.39/4.87 (~xuntil2p8(s173)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8754, 31028])).
% 5.39/4.87 tff(31030,plain,
% 5.39/4.87 (~m_main_v_state(s173, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22801, 145, 30953])).
% 5.39/4.87 tff(31031,plain,
% 5.39/4.87 (m_main_v_state(s173, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23919, 31030])).
% 5.39/4.87 tff(31032,plain,
% 5.39/4.87 (~m_main_v_request(s173)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22826, 31031, 31023])).
% 5.39/4.87 tff(31033,plain,
% 5.39/4.87 (~node4(s173)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22817, 63, 31032])).
% 5.39/4.87 tff(31034,plain,
% 5.39/4.87 (xuntil2p8(s173) | (~until2p7(s173))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8760, 8293, 31033])).
% 5.39/4.87 tff(31035,plain,
% 5.39/4.87 (~until2p7(s173)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31034, 31029])).
% 5.39/4.87 tff(31036,plain,
% 5.39/4.87 (~xuntil2p8(s172)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8766, 31035])).
% 5.39/4.87 tff(31037,plain,
% 5.39/4.87 (~m_main_v_state(s172, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22880, 145, 30952])).
% 5.39/4.87 tff(31038,plain,
% 5.39/4.87 (m_main_v_state(s172, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22948, 188, 31037])).
% 5.39/4.87 tff(31039,plain,
% 5.39/4.87 (~m_main_v_request(s172)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22942, 31038, 31030])).
% 5.39/4.87 tff(31040,plain,
% 5.39/4.87 (~node4(s172)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22933, 63, 31039])).
% 5.39/4.87 tff(31041,plain,
% 5.39/4.87 (xuntil2p8(s172) | (~until2p7(s172))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8772, 8293, 31040])).
% 5.39/4.87 tff(31042,plain,
% 5.39/4.87 (~until2p7(s172)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31041, 31036])).
% 5.39/4.87 tff(31043,plain,
% 5.39/4.87 (~xuntil2p8(s171)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8778, 31042])).
% 5.39/4.87 tff(31044,plain,
% 5.39/4.87 (~m_main_v_state(s171, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22872, 145, 30951])).
% 5.39/4.87 tff(31045,assumption,(~m_main_v_state(s171, c_busy)), introduced(assumption)).
% 5.39/4.87 tff(31046,assumption,(~m_main_v_state(s171, c_ready)), introduced(assumption)).
% 5.39/4.87 tff(31047,plain,
% 5.39/4.87 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s170, s171)) | m_main_v_state(s171, c_busy) | node1(s170) | m_main_v_state(s171, 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(s170, s171)) | m_main_v_state(s171, c_busy) | node1(s170) | m_main_v_state(s171, c_ready))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31048,plain,
% 5.39/4.87 ((node1(s170) | m_main_v_state(s171, c_ready) | (~node2(s170, s171)) | m_main_v_state(s171, c_busy)) <=> ((~node2(s170, s171)) | m_main_v_state(s171, c_busy) | node1(s170) | m_main_v_state(s171, c_ready))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31049,plain,
% 5.39/4.87 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s170) | m_main_v_state(s171, c_ready) | (~node2(s170, s171)) | m_main_v_state(s171, 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(s170, s171)) | m_main_v_state(s171, c_busy) | node1(s170) | m_main_v_state(s171, c_ready)))),
% 5.39/4.87 inference(monotonicity,[status(thm)],[31048])).
% 5.39/4.87 tff(31050,plain,
% 5.39/4.87 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s170) | m_main_v_state(s171, c_ready) | (~node2(s170, s171)) | m_main_v_state(s171, 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(s170, s171)) | m_main_v_state(s171, c_busy) | node1(s170) | m_main_v_state(s171, c_ready))),
% 5.39/4.87 inference(transitivity,[status(thm)],[31049, 31047])).
% 5.39/4.87 tff(31051,plain,
% 5.39/4.87 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s170) | m_main_v_state(s171, c_ready) | (~node2(s170, s171)) | m_main_v_state(s171, c_busy))),
% 5.39/4.87 inference(quant_inst,[status(thm)],[])).
% 5.39/4.87 tff(31052,plain,
% 5.39/4.87 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s170, s171)) | m_main_v_state(s171, c_busy) | node1(s170) | m_main_v_state(s171, c_ready)),
% 5.39/4.87 inference(modus_ponens,[status(thm)],[31051, 31050])).
% 5.39/4.87 tff(31053,plain,
% 5.39/4.87 (m_main_v_state(s171, c_busy) | node1(s170) | m_main_v_state(s171, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31052, 2250, 22909])).
% 5.39/4.87 tff(31054,plain,
% 5.39/4.87 (node1(s170)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31053, 31045, 31046])).
% 5.39/4.87 tff(31055,plain,
% 5.39/4.87 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s170, c_ready) | (~node1(s170)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s170, c_ready) | (~node1(s170)))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31056,plain,
% 5.39/4.87 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s170, c_ready) | (~node1(s170)))),
% 5.39/4.87 inference(quant_inst,[status(thm)],[])).
% 5.39/4.87 tff(31057,plain,
% 5.39/4.87 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s170, c_ready) | (~node1(s170))),
% 5.39/4.87 inference(modus_ponens,[status(thm)],[31056, 31055])).
% 5.39/4.87 tff(31058,plain,
% 5.39/4.87 (m_main_v_state(s170, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31057, 2265, 31054])).
% 5.39/4.87 tff(31059,plain,
% 5.39/4.87 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s170) | (~node1(s170)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s170) | (~node1(s170)))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31060,plain,
% 5.39/4.87 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s170) | (~node1(s170)))),
% 5.39/4.87 inference(quant_inst,[status(thm)],[])).
% 5.39/4.87 tff(31061,plain,
% 5.39/4.87 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s170) | (~node1(s170))),
% 5.39/4.87 inference(modus_ponens,[status(thm)],[31060, 31059])).
% 5.39/4.87 tff(31062,plain,
% 5.39/4.87 (m_main_v_request(s170)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31061, 2276, 31054])).
% 5.39/4.87 tff(31063,plain,
% 5.39/4.87 ($false),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22913, 31062, 31058, 31045])).
% 5.39/4.87 tff(31064,plain,(m_main_v_state(s171, c_busy) | m_main_v_state(s171, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.87 tff(31065,plain,
% 5.39/4.87 (m_main_v_state(s171, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31064, 31044])).
% 5.39/4.87 tff(31066,plain,
% 5.39/4.87 (~m_main_v_request(s171)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22893, 31065, 31037])).
% 5.39/4.87 tff(31067,plain,
% 5.39/4.87 (~node4(s171)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22897, 63, 31066])).
% 5.39/4.87 tff(31068,plain,
% 5.39/4.87 (xuntil2p8(s171) | (~until2p7(s171))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8784, 8293, 31067])).
% 5.39/4.87 tff(31069,plain,
% 5.39/4.87 (~until2p7(s171)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31068, 31043])).
% 5.39/4.87 tff(31070,plain,
% 5.39/4.87 (~xuntil2p8(s170)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8790, 31069])).
% 5.39/4.87 tff(31071,plain,
% 5.39/4.87 (~m_main_v_state(s170, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22921, 145, 30950])).
% 5.39/4.87 tff(31072,plain,
% 5.39/4.87 (~m_main_v_state(s169, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8828, 145, 30949])).
% 5.39/4.87 tff(31073,plain,
% 5.39/4.87 (m_main_v_state(s169, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23951, 31072])).
% 5.39/4.87 tff(31074,assumption,(~m_main_v_state(s170, c_ready)), introduced(assumption)).
% 5.39/4.87 tff(31075,assumption,(~m_main_v_state(s170, c_busy)), introduced(assumption)).
% 5.39/4.87 tff(31076,plain,
% 5.39/4.87 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s169, s170)) | m_main_v_state(s170, c_busy) | node1(s169) | m_main_v_state(s170, 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(s169, s170)) | m_main_v_state(s170, c_busy) | node1(s169) | m_main_v_state(s170, c_ready))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31077,plain,
% 5.39/4.87 ((node1(s169) | m_main_v_state(s170, c_ready) | (~node2(s169, s170)) | m_main_v_state(s170, c_busy)) <=> ((~node2(s169, s170)) | m_main_v_state(s170, c_busy) | node1(s169) | m_main_v_state(s170, c_ready))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31078,plain,
% 5.39/4.87 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s169) | m_main_v_state(s170, c_ready) | (~node2(s169, s170)) | m_main_v_state(s170, 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(s169, s170)) | m_main_v_state(s170, c_busy) | node1(s169) | m_main_v_state(s170, c_ready)))),
% 5.39/4.87 inference(monotonicity,[status(thm)],[31077])).
% 5.39/4.87 tff(31079,plain,
% 5.39/4.87 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s169) | m_main_v_state(s170, c_ready) | (~node2(s169, s170)) | m_main_v_state(s170, 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(s169, s170)) | m_main_v_state(s170, c_busy) | node1(s169) | m_main_v_state(s170, c_ready))),
% 5.39/4.87 inference(transitivity,[status(thm)],[31078, 31076])).
% 5.39/4.87 tff(31080,plain,
% 5.39/4.87 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s169) | m_main_v_state(s170, c_ready) | (~node2(s169, s170)) | m_main_v_state(s170, c_busy))),
% 5.39/4.87 inference(quant_inst,[status(thm)],[])).
% 5.39/4.87 tff(31081,plain,
% 5.39/4.87 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s169, s170)) | m_main_v_state(s170, c_busy) | node1(s169) | m_main_v_state(s170, c_ready)),
% 5.39/4.87 inference(modus_ponens,[status(thm)],[31080, 31079])).
% 5.39/4.87 tff(31082,plain,
% 5.39/4.87 (m_main_v_state(s170, c_busy) | node1(s169) | m_main_v_state(s170, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31081, 2250, 22962])).
% 5.39/4.87 tff(31083,plain,
% 5.39/4.87 (node1(s169)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31082, 31075, 31074])).
% 5.39/4.87 tff(31084,assumption,(m_main_v_state(s169, c_ready)), introduced(assumption)).
% 5.39/4.87 tff(31085,plain,
% 5.39/4.87 (~m_main_v_request(s169)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22966, 31075, 31084])).
% 5.39/4.87 tff(31086,plain,
% 5.39/4.87 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s169) | (~node1(s169)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s169) | (~node1(s169)))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31087,plain,
% 5.39/4.87 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s169) | (~node1(s169)))),
% 5.39/4.87 inference(quant_inst,[status(thm)],[])).
% 5.39/4.87 tff(31088,plain,
% 5.39/4.87 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s169) | (~node1(s169))),
% 5.39/4.87 inference(modus_ponens,[status(thm)],[31087, 31086])).
% 5.39/4.87 tff(31089,plain,
% 5.39/4.87 ($false),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31088, 2276, 31085, 31083])).
% 5.39/4.87 tff(31090,plain,(m_main_v_state(s170, c_busy) | (~m_main_v_state(s169, c_ready)) | m_main_v_state(s170, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.87 tff(31091,plain,
% 5.39/4.87 (m_main_v_state(s170, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31090, 31073, 31071])).
% 5.39/4.87 tff(31092,plain,
% 5.39/4.87 (~m_main_v_request(s170)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22913, 31091, 31044])).
% 5.39/4.87 tff(31093,plain,
% 5.39/4.87 (~node4(s170)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22904, 63, 31092])).
% 5.39/4.87 tff(31094,plain,
% 5.39/4.87 (xuntil2p8(s170) | (~until2p7(s170))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8796, 8293, 31093])).
% 5.39/4.87 tff(31095,plain,
% 5.39/4.87 (~until2p7(s170)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31094, 31070])).
% 5.39/4.87 tff(31096,plain,
% 5.39/4.87 (~xuntil2p8(s169)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8802, 31095])).
% 5.39/4.87 tff(31097,plain,
% 5.39/4.87 (~m_main_v_request(s169)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22966, 31073, 31071])).
% 5.39/4.87 tff(31098,plain,
% 5.39/4.87 (~node4(s169)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22970, 63, 31097])).
% 5.39/4.87 tff(31099,plain,
% 5.39/4.87 (xuntil2p8(s169) | (~until2p7(s169))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8808, 8293, 31098])).
% 5.39/4.87 tff(31100,plain,
% 5.39/4.87 (~until2p7(s169)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31099, 31096])).
% 5.39/4.87 tff(31101,plain,
% 5.39/4.87 (~xuntil2p8(s168)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8814, 31100])).
% 5.39/4.87 tff(31102,plain,
% 5.39/4.87 (~until2p7(s168)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8854, 31101])).
% 5.39/4.87 tff(31103,plain,
% 5.39/4.87 (~xuntil2p8(s167)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8859, 31102])).
% 5.39/4.87 tff(31104,plain,
% 5.39/4.87 (~m_main_v_state(s168, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8844, 145, 30948])).
% 5.39/4.87 tff(31105,plain,
% 5.39/4.87 (~m_main_v_state(s167, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8886, 145, 30947])).
% 5.39/4.87 tff(31106,plain,
% 5.39/4.87 (m_main_v_state(s167, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[23981, 31105])).
% 5.39/4.87 tff(31107,plain,
% 5.39/4.87 (~m_main_v_request(s167)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22436, 31106, 31104])).
% 5.39/4.87 tff(31108,plain,
% 5.39/4.87 (~node4(s167)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22427, 63, 31107])).
% 5.39/4.87 tff(31109,plain,
% 5.39/4.87 (xuntil2p8(s167) | (~until2p7(s167))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8866, 8293, 31108])).
% 5.39/4.87 tff(31110,plain,
% 5.39/4.87 (~until2p7(s167)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31109, 31103])).
% 5.39/4.87 tff(31111,plain,
% 5.39/4.87 (~xuntil2p8(s166)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8872, 31110])).
% 5.39/4.87 tff(31112,plain,
% 5.39/4.87 (~until2p7(s166)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8912, 31111])).
% 5.39/4.87 tff(31113,plain,
% 5.39/4.87 (~xuntil2p8(s165)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8917, 31112])).
% 5.39/4.87 tff(31114,plain,
% 5.39/4.87 (~until2p7(s165)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8951, 31113])).
% 5.39/4.87 tff(31115,plain,
% 5.39/4.87 (~xuntil2p8(s164)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8956, 31114])).
% 5.39/4.87 tff(31116,plain,
% 5.39/4.87 (~until2p7(s164)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8990, 31115])).
% 5.39/4.87 tff(31117,plain,
% 5.39/4.87 (~xuntil2p8(s163)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8995, 31116])).
% 5.39/4.87 tff(31118,plain,
% 5.39/4.87 (~m_main_v_state(s164, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[8980, 145, 30944])).
% 5.39/4.87 tff(31119,plain,
% 5.39/4.87 (~m_main_v_state(s163, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[4567, 145, 30943])).
% 5.39/4.87 tff(31120,plain,
% 5.39/4.87 (m_main_v_state(s163, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22391, 188, 31119])).
% 5.39/4.87 tff(31121,plain,
% 5.39/4.87 (~m_main_v_request(s163)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22386, 31120, 31118])).
% 5.39/4.87 tff(31122,plain,
% 5.39/4.87 (~node4(s163)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[22377, 63, 31121])).
% 5.39/4.87 tff(31123,plain,
% 5.39/4.87 (xuntil2p8(s163) | (~until2p7(s163))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9004, 8293, 31122])).
% 5.39/4.87 tff(31124,plain,
% 5.39/4.87 (~until2p7(s163)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31123, 31117])).
% 5.39/4.87 tff(31125,plain,
% 5.39/4.87 (~xuntil2p8(s162)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9010, 31124])).
% 5.39/4.87 tff(31126,plain,
% 5.39/4.87 (~until2p7(s162)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9015, 31125])).
% 5.39/4.87 tff(31127,plain,
% 5.39/4.87 (~xuntil2p8(s161)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9020, 31126])).
% 5.39/4.87 tff(31128,plain,
% 5.39/4.87 (~m_main_v_state(s161, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9047, 145, 30941])).
% 5.39/4.87 tff(31129,assumption,(~m_main_v_state(s161, c_busy)), introduced(assumption)).
% 5.39/4.87 tff(31130,assumption,(~m_main_v_state(s161, c_ready)), introduced(assumption)).
% 5.39/4.87 tff(31131,plain,
% 5.39/4.87 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s160, s161)) | m_main_v_state(s161, c_busy) | node1(s160) | m_main_v_state(s161, 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(s160, s161)) | m_main_v_state(s161, c_busy) | node1(s160) | m_main_v_state(s161, c_ready))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31132,plain,
% 5.39/4.87 ((node1(s160) | m_main_v_state(s161, c_ready) | (~node2(s160, s161)) | m_main_v_state(s161, c_busy)) <=> ((~node2(s160, s161)) | m_main_v_state(s161, c_busy) | node1(s160) | m_main_v_state(s161, c_ready))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31133,plain,
% 5.39/4.87 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s160) | m_main_v_state(s161, c_ready) | (~node2(s160, s161)) | m_main_v_state(s161, 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(s160, s161)) | m_main_v_state(s161, c_busy) | node1(s160) | m_main_v_state(s161, c_ready)))),
% 5.39/4.87 inference(monotonicity,[status(thm)],[31132])).
% 5.39/4.87 tff(31134,plain,
% 5.39/4.87 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s160) | m_main_v_state(s161, c_ready) | (~node2(s160, s161)) | m_main_v_state(s161, 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(s160, s161)) | m_main_v_state(s161, c_busy) | node1(s160) | m_main_v_state(s161, c_ready))),
% 5.39/4.87 inference(transitivity,[status(thm)],[31133, 31131])).
% 5.39/4.87 tff(31135,plain,
% 5.39/4.87 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s160) | m_main_v_state(s161, c_ready) | (~node2(s160, s161)) | m_main_v_state(s161, c_busy))),
% 5.39/4.87 inference(quant_inst,[status(thm)],[])).
% 5.39/4.87 tff(31136,plain,
% 5.39/4.87 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s160, s161)) | m_main_v_state(s161, c_busy) | node1(s160) | m_main_v_state(s161, c_ready)),
% 5.39/4.87 inference(modus_ponens,[status(thm)],[31135, 31134])).
% 5.39/4.87 tff(31137,plain,
% 5.39/4.87 (m_main_v_state(s161, c_busy) | node1(s160) | m_main_v_state(s161, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31136, 2250, 9052])).
% 5.39/4.87 tff(31138,plain,
% 5.39/4.87 (node1(s160)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31137, 31129, 31130])).
% 5.39/4.87 tff(31139,plain,
% 5.39/4.87 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s160, c_ready) | (~node1(s160)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s160, c_ready) | (~node1(s160)))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31140,plain,
% 5.39/4.87 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s160, c_ready) | (~node1(s160)))),
% 5.39/4.87 inference(quant_inst,[status(thm)],[])).
% 5.39/4.87 tff(31141,plain,
% 5.39/4.87 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s160, c_ready) | (~node1(s160))),
% 5.39/4.87 inference(modus_ponens,[status(thm)],[31140, 31139])).
% 5.39/4.87 tff(31142,plain,
% 5.39/4.87 (m_main_v_state(s160, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31141, 2265, 31138])).
% 5.39/4.87 tff(31143,plain,
% 5.39/4.87 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s160) | (~node1(s160)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s160) | (~node1(s160)))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31144,plain,
% 5.39/4.87 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s160) | (~node1(s160)))),
% 5.39/4.87 inference(quant_inst,[status(thm)],[])).
% 5.39/4.87 tff(31145,plain,
% 5.39/4.87 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s160) | (~node1(s160))),
% 5.39/4.87 inference(modus_ponens,[status(thm)],[31144, 31143])).
% 5.39/4.87 tff(31146,plain,
% 5.39/4.87 (m_main_v_request(s160)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31145, 2276, 31138])).
% 5.39/4.87 tff(31147,plain,
% 5.39/4.87 ($false),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9056, 31146, 31142, 31129])).
% 5.39/4.87 tff(31148,plain,(m_main_v_state(s161, c_busy) | m_main_v_state(s161, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.87 tff(31149,plain,
% 5.39/4.87 (m_main_v_state(s161, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31148, 31128])).
% 5.39/4.87 tff(31150,plain,
% 5.39/4.87 (~m_main_v_state(s162, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[4583, 145, 30942])).
% 5.39/4.87 tff(31151,plain,
% 5.39/4.87 (~m_main_v_request(s161)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21457, 31150, 31149])).
% 5.39/4.87 tff(31152,plain,
% 5.39/4.87 (~node4(s161)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21461, 63, 31151])).
% 5.39/4.87 tff(31153,plain,
% 5.39/4.87 (xuntil2p8(s161) | (~until2p7(s161))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9027, 8293, 31152])).
% 5.39/4.87 tff(31154,plain,
% 5.39/4.87 (~until2p7(s161)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31153, 31127])).
% 5.39/4.87 tff(31155,plain,
% 5.39/4.87 (~xuntil2p8(s160)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9033, 31154])).
% 5.39/4.87 tff(31156,plain,
% 5.39/4.87 (~until2p7(s160)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9073, 31155])).
% 5.39/4.87 tff(31157,plain,
% 5.39/4.87 (~xuntil2p8(s159)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9078, 31156])).
% 5.39/4.87 tff(31158,plain,
% 5.39/4.87 (~m_main_v_state(s160, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9063, 145, 30940])).
% 5.39/4.87 tff(31159,plain,
% 5.39/4.87 (~m_main_v_state(s158, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21560, 145, 30938])).
% 5.39/4.87 tff(31160,plain,
% 5.39/4.87 (m_main_v_state(s158, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21583, 31159])).
% 5.39/4.87 tff(31161,plain,
% 5.39/4.87 (~m_main_v_state(s159, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21547, 145, 30939])).
% 5.39/4.87 tff(31162,plain,
% 5.39/4.87 (m_main_v_state(s159, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21609, 31161, 31160])).
% 5.39/4.87 tff(31163,plain,
% 5.39/4.87 (~m_main_v_request(s159)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21540, 31162, 31158])).
% 5.39/4.87 tff(31164,plain,
% 5.39/4.87 (~node4(s159)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21510, 63, 31163])).
% 5.39/4.87 tff(31165,plain,
% 5.39/4.87 (xuntil2p8(s159) | (~until2p7(s159))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9085, 8293, 31164])).
% 5.39/4.87 tff(31166,plain,
% 5.39/4.87 (~until2p7(s159)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31165, 31157])).
% 5.39/4.87 tff(31167,plain,
% 5.39/4.87 (~xuntil2p8(s158)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9091, 31166])).
% 5.39/4.87 tff(31168,plain,
% 5.39/4.87 (~node4(s158)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21625, 31161])).
% 5.39/4.87 tff(31169,plain,
% 5.39/4.87 (xuntil2p8(s158) | (~until2p7(s158))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9097, 8293, 31168])).
% 5.39/4.87 tff(31170,plain,
% 5.39/4.87 (~until2p7(s158)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31169, 31167])).
% 5.39/4.87 tff(31171,plain,
% 5.39/4.87 (~xuntil2p8(s157)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9103, 31170])).
% 5.39/4.87 tff(31172,plain,
% 5.39/4.87 (~m_main_v_state(s157, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21636, 145, 30937])).
% 5.39/4.87 tff(31173,plain,
% 5.39/4.87 (m_main_v_state(s157, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21640, 188, 31172])).
% 5.39/4.87 tff(31174,plain,
% 5.39/4.87 (~m_main_v_request(s157)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21649, 31173, 31159])).
% 5.39/4.87 tff(31175,plain,
% 5.39/4.87 (~node4(s157)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21653, 63, 31174])).
% 5.39/4.87 tff(31176,plain,
% 5.39/4.87 (xuntil2p8(s157) | (~until2p7(s157))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9109, 8293, 31175])).
% 5.39/4.87 tff(31177,plain,
% 5.39/4.87 (~until2p7(s157)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31176, 31171])).
% 5.39/4.87 tff(31178,plain,
% 5.39/4.87 (~xuntil2p8(s156)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9115, 31177])).
% 5.39/4.87 tff(31179,plain,
% 5.39/4.87 (~m_main_v_state(s156, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21663, 145, 30936])).
% 5.39/4.87 tff(31180,plain,
% 5.39/4.87 (m_main_v_state(s156, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21667, 188, 31179])).
% 5.39/4.87 tff(31181,plain,
% 5.39/4.87 (~m_main_v_request(s156)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21751, 31180, 31172])).
% 5.39/4.87 tff(31182,plain,
% 5.39/4.87 (~node4(s156)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21742, 63, 31181])).
% 5.39/4.87 tff(31183,plain,
% 5.39/4.87 (xuntil2p8(s156) | (~until2p7(s156))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9121, 8293, 31182])).
% 5.39/4.87 tff(31184,plain,
% 5.39/4.87 (~until2p7(s156)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31183, 31178])).
% 5.39/4.87 tff(31185,plain,
% 5.39/4.87 (~xuntil2p8(s155)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9127, 31184])).
% 5.39/4.87 tff(31186,plain,
% 5.39/4.87 (~m_main_v_state(s155, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21693, 145, 30935])).
% 5.39/4.87 tff(31187,assumption,(~m_main_v_state(s155, c_busy)), introduced(assumption)).
% 5.39/4.87 tff(31188,assumption,(~m_main_v_state(s155, c_ready)), introduced(assumption)).
% 5.39/4.87 tff(31189,plain,
% 5.39/4.87 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s154, s155)) | m_main_v_state(s155, c_busy) | node1(s154) | m_main_v_state(s155, 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(s154, s155)) | m_main_v_state(s155, c_busy) | node1(s154) | m_main_v_state(s155, c_ready))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31190,plain,
% 5.39/4.87 ((node1(s154) | m_main_v_state(s155, c_ready) | (~node2(s154, s155)) | m_main_v_state(s155, c_busy)) <=> ((~node2(s154, s155)) | m_main_v_state(s155, c_busy) | node1(s154) | m_main_v_state(s155, c_ready))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31191,plain,
% 5.39/4.87 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s154) | m_main_v_state(s155, c_ready) | (~node2(s154, s155)) | m_main_v_state(s155, 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(s154, s155)) | m_main_v_state(s155, c_busy) | node1(s154) | m_main_v_state(s155, c_ready)))),
% 5.39/4.87 inference(monotonicity,[status(thm)],[31190])).
% 5.39/4.87 tff(31192,plain,
% 5.39/4.87 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s154) | m_main_v_state(s155, c_ready) | (~node2(s154, s155)) | m_main_v_state(s155, 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(s154, s155)) | m_main_v_state(s155, c_busy) | node1(s154) | m_main_v_state(s155, c_ready))),
% 5.39/4.87 inference(transitivity,[status(thm)],[31191, 31189])).
% 5.39/4.87 tff(31193,plain,
% 5.39/4.87 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s154) | m_main_v_state(s155, c_ready) | (~node2(s154, s155)) | m_main_v_state(s155, c_busy))),
% 5.39/4.87 inference(quant_inst,[status(thm)],[])).
% 5.39/4.87 tff(31194,plain,
% 5.39/4.87 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s154, s155)) | m_main_v_state(s155, c_busy) | node1(s154) | m_main_v_state(s155, c_ready)),
% 5.39/4.87 inference(modus_ponens,[status(thm)],[31193, 31192])).
% 5.39/4.87 tff(31195,plain,
% 5.39/4.87 (m_main_v_state(s155, c_busy) | node1(s154) | m_main_v_state(s155, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31194, 2250, 21723])).
% 5.39/4.87 tff(31196,plain,
% 5.39/4.87 (node1(s154)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31195, 31188, 31187])).
% 5.39/4.87 tff(31197,plain,
% 5.39/4.87 (node1(s154)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31195, 31187, 31188])).
% 5.39/4.87 tff(31198,assumption,(m_main_v_state(s154, c_ready)), introduced(assumption)).
% 5.39/4.87 tff(31199,plain,
% 5.39/4.87 (~m_main_v_request(s154)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21727, 31187, 31198])).
% 5.39/4.87 tff(31200,plain,
% 5.39/4.87 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s154) | (~node1(s154)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s154) | (~node1(s154)))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31201,plain,
% 5.39/4.87 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s154) | (~node1(s154)))),
% 5.39/4.87 inference(quant_inst,[status(thm)],[])).
% 5.39/4.87 tff(31202,plain,
% 5.39/4.87 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s154) | (~node1(s154))),
% 5.39/4.87 inference(modus_ponens,[status(thm)],[31201, 31200])).
% 5.39/4.87 tff(31203,plain,
% 5.39/4.87 ($false),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31202, 2276, 31199, 31197])).
% 5.39/4.87 tff(31204,plain,(m_main_v_state(s155, c_busy) | m_main_v_state(s155, c_ready) | (~m_main_v_state(s154, c_ready))), inference(lemma,lemma(discharge,[]))).
% 5.39/4.87 tff(31205,plain,
% 5.39/4.87 (~m_main_v_state(s154, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31204, 31188, 31187])).
% 5.39/4.87 tff(31206,plain,
% 5.39/4.87 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s154, c_ready) | (~node1(s154)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s154, c_ready) | (~node1(s154)))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31207,plain,
% 5.39/4.87 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s154, c_ready) | (~node1(s154)))),
% 5.39/4.87 inference(quant_inst,[status(thm)],[])).
% 5.39/4.87 tff(31208,plain,
% 5.39/4.87 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s154, c_ready) | (~node1(s154))),
% 5.39/4.87 inference(modus_ponens,[status(thm)],[31207, 31206])).
% 5.39/4.87 tff(31209,plain,
% 5.39/4.87 ($false),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31208, 2265, 31205, 31196])).
% 5.39/4.87 tff(31210,plain,(m_main_v_state(s155, c_ready) | m_main_v_state(s155, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.87 tff(31211,plain,
% 5.39/4.87 (m_main_v_state(s155, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31210, 31186])).
% 5.39/4.87 tff(31212,plain,
% 5.39/4.87 (~m_main_v_request(s155)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21707, 31179, 31211])).
% 5.39/4.87 tff(31213,plain,
% 5.39/4.87 (~node4(s155)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21711, 63, 31212])).
% 5.39/4.87 tff(31214,plain,
% 5.39/4.87 (xuntil2p8(s155) | (~until2p7(s155))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9133, 8293, 31213])).
% 5.39/4.87 tff(31215,plain,
% 5.39/4.87 (~until2p7(s155)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31214, 31185])).
% 5.39/4.87 tff(31216,plain,
% 5.39/4.87 (~xuntil2p8(s154)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9139, 31215])).
% 5.39/4.87 tff(31217,plain,
% 5.39/4.87 (~m_main_v_state(s154, c_busy)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9165, 145, 30934])).
% 5.39/4.87 tff(31218,assumption,(~m_main_v_state(s154, c_ready)), introduced(assumption)).
% 5.39/4.87 tff(31219,assumption,(~m_main_v_state(s154, c_busy)), introduced(assumption)).
% 5.39/4.87 tff(31220,assumption,(node1(s153)), introduced(assumption)).
% 5.39/4.87 tff(31221,plain,
% 5.39/4.87 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s153, c_ready) | (~node1(s153)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s153, c_ready) | (~node1(s153)))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31222,plain,
% 5.39/4.87 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s153, c_ready) | (~node1(s153)))),
% 5.39/4.87 inference(quant_inst,[status(thm)],[])).
% 5.39/4.87 tff(31223,plain,
% 5.39/4.87 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s153, c_ready) | (~node1(s153))),
% 5.39/4.87 inference(modus_ponens,[status(thm)],[31222, 31221])).
% 5.39/4.87 tff(31224,plain,
% 5.39/4.87 (m_main_v_state(s153, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31223, 2265, 31220])).
% 5.39/4.87 tff(31225,plain,
% 5.39/4.87 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s153) | (~node1(s153)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s153) | (~node1(s153)))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31226,plain,
% 5.39/4.87 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s153) | (~node1(s153)))),
% 5.39/4.87 inference(quant_inst,[status(thm)],[])).
% 5.39/4.87 tff(31227,plain,
% 5.39/4.87 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s153) | (~node1(s153))),
% 5.39/4.87 inference(modus_ponens,[status(thm)],[31226, 31225])).
% 5.39/4.87 tff(31228,plain,
% 5.39/4.87 (m_main_v_request(s153)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31227, 2276, 31220])).
% 5.39/4.87 tff(31229,plain,
% 5.39/4.87 ($false),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9174, 31228, 31224, 31219])).
% 5.39/4.87 tff(31230,plain,((~node1(s153)) | m_main_v_state(s154, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.87 tff(31231,plain,
% 5.39/4.87 (~node1(s153)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31230, 31219])).
% 5.39/4.87 tff(31232,plain,
% 5.39/4.87 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s153, s154)) | m_main_v_state(s154, c_busy) | node1(s153) | m_main_v_state(s154, 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(s153, s154)) | m_main_v_state(s154, c_busy) | node1(s153) | m_main_v_state(s154, c_ready))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31233,plain,
% 5.39/4.87 ((node1(s153) | m_main_v_state(s154, c_ready) | (~node2(s153, s154)) | m_main_v_state(s154, c_busy)) <=> ((~node2(s153, s154)) | m_main_v_state(s154, c_busy) | node1(s153) | m_main_v_state(s154, c_ready))),
% 5.39/4.87 inference(rewrite,[status(thm)],[])).
% 5.39/4.87 tff(31234,plain,
% 5.39/4.87 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s153) | m_main_v_state(s154, c_ready) | (~node2(s153, s154)) | m_main_v_state(s154, 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(s153, s154)) | m_main_v_state(s154, c_busy) | node1(s153) | m_main_v_state(s154, c_ready)))),
% 5.39/4.87 inference(monotonicity,[status(thm)],[31233])).
% 5.39/4.87 tff(31235,plain,
% 5.39/4.87 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s153) | m_main_v_state(s154, c_ready) | (~node2(s153, s154)) | m_main_v_state(s154, 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(s153, s154)) | m_main_v_state(s154, c_busy) | node1(s153) | m_main_v_state(s154, c_ready))),
% 5.39/4.87 inference(transitivity,[status(thm)],[31234, 31232])).
% 5.39/4.87 tff(31236,plain,
% 5.39/4.87 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s153) | m_main_v_state(s154, c_ready) | (~node2(s153, s154)) | m_main_v_state(s154, c_busy))),
% 5.39/4.87 inference(quant_inst,[status(thm)],[])).
% 5.39/4.87 tff(31237,plain,
% 5.39/4.87 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s153, s154)) | m_main_v_state(s154, c_busy) | node1(s153) | m_main_v_state(s154, c_ready)),
% 5.39/4.87 inference(modus_ponens,[status(thm)],[31236, 31235])).
% 5.39/4.87 tff(31238,plain,
% 5.39/4.87 (m_main_v_state(s154, c_busy) | node1(s153) | m_main_v_state(s154, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31237, 2250, 9170])).
% 5.39/4.87 tff(31239,plain,
% 5.39/4.87 ($false),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31238, 31231, 31219, 31218])).
% 5.39/4.87 tff(31240,plain,(m_main_v_state(s154, c_busy) | m_main_v_state(s154, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.87 tff(31241,plain,
% 5.39/4.87 (m_main_v_state(s154, c_ready)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[31240, 31217])).
% 5.39/4.87 tff(31242,plain,
% 5.39/4.87 (~m_main_v_request(s154)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21727, 31241, 31186])).
% 5.39/4.87 tff(31243,plain,
% 5.39/4.87 (~node4(s154)),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[21718, 63, 31242])).
% 5.39/4.87 tff(31244,plain,
% 5.39/4.87 (xuntil2p8(s154) | (~until2p7(s154))),
% 5.39/4.87 inference(unit_resolution,[status(thm)],[9145, 8293, 31243])).
% 5.39/4.88 tff(31245,plain,
% 5.39/4.88 (~until2p7(s154)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31244, 31216])).
% 5.39/4.88 tff(31246,plain,
% 5.39/4.88 (~xuntil2p8(s153)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9151, 31245])).
% 5.39/4.88 tff(31247,plain,
% 5.39/4.88 (~until2p7(s153)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9191, 31246])).
% 5.39/4.88 tff(31248,plain,
% 5.39/4.88 (~xuntil2p8(s152)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9196, 31247])).
% 5.39/4.88 tff(31249,plain,
% 5.39/4.88 (~until2p7(s152)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9230, 31248])).
% 5.39/4.88 tff(31250,plain,
% 5.39/4.88 (~xuntil2p8(s151)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9235, 31249])).
% 5.39/4.88 tff(31251,plain,
% 5.39/4.88 (~m_main_v_state(s152, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9220, 145, 30932])).
% 5.39/4.88 tff(31252,plain,
% 5.39/4.88 (~m_main_v_state(s151, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[21839, 145, 30931])).
% 5.39/4.88 tff(31253,plain,
% 5.39/4.88 (m_main_v_state(s151, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[24065, 31252])).
% 5.39/4.88 tff(31254,plain,
% 5.39/4.88 (~m_main_v_request(s151)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[21852, 31253, 31251])).
% 5.39/4.88 tff(31255,plain,
% 5.39/4.88 (~node4(s151)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[21856, 63, 31254])).
% 5.39/4.88 tff(31256,plain,
% 5.39/4.88 (xuntil2p8(s151) | (~until2p7(s151))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9243, 8293, 31255])).
% 5.39/4.88 tff(31257,plain,
% 5.39/4.88 (~until2p7(s151)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31256, 31250])).
% 5.39/4.88 tff(31258,plain,
% 5.39/4.88 (~xuntil2p8(s150)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9249, 31257])).
% 5.39/4.88 tff(31259,plain,
% 5.39/4.88 (~m_main_v_state(s150, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[21867, 145, 30930])).
% 5.39/4.88 tff(31260,assumption,(~m_main_v_state(s150, c_ready)), introduced(assumption)).
% 5.39/4.88 tff(31261,assumption,(~m_main_v_state(s150, c_busy)), introduced(assumption)).
% 5.39/4.88 tff(31262,plain,
% 5.39/4.88 ($false),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[21891, 188, 31261, 31260])).
% 5.39/4.88 tff(31263,plain,(m_main_v_state(s150, c_ready) | m_main_v_state(s150, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.88 tff(31264,plain,
% 5.39/4.88 (m_main_v_state(s150, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31263, 31259])).
% 5.39/4.88 tff(31265,plain,
% 5.39/4.88 (~m_main_v_request(s150)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[21886, 31264, 31252])).
% 5.39/4.88 tff(31266,plain,
% 5.39/4.88 (~node4(s150)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[21877, 63, 31265])).
% 5.39/4.88 tff(31267,plain,
% 5.39/4.88 (xuntil2p8(s150) | (~until2p7(s150))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9255, 8293, 31266])).
% 5.39/4.88 tff(31268,plain,
% 5.39/4.88 (~until2p7(s150)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31267, 31258])).
% 5.39/4.88 tff(31269,plain,
% 5.39/4.88 (~xuntil2p8(s149)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9261, 31268])).
% 5.39/4.88 tff(31270,plain,
% 5.39/4.88 (~m_main_v_state(s149, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9287, 145, 30929])).
% 5.39/4.88 tff(31271,plain,
% 5.39/4.88 (m_main_v_state(s149, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[24102, 31270])).
% 5.39/4.88 tff(31272,plain,
% 5.39/4.88 (~m_main_v_request(s149)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[21912, 31271, 31259])).
% 5.39/4.88 tff(31273,plain,
% 5.39/4.88 (~node4(s149)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[21903, 63, 31272])).
% 5.39/4.88 tff(31274,plain,
% 5.39/4.88 (xuntil2p8(s149) | (~until2p7(s149))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9267, 8293, 31273])).
% 5.39/4.88 tff(31275,plain,
% 5.39/4.88 (~until2p7(s149)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31274, 31269])).
% 5.39/4.88 tff(31276,plain,
% 5.39/4.88 (~xuntil2p8(s148)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9273, 31275])).
% 5.39/4.88 tff(31277,plain,
% 5.39/4.88 (~until2p7(s148)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9313, 31276])).
% 5.39/4.88 tff(31278,plain,
% 5.39/4.88 (~xuntil2p8(s147)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9318, 31277])).
% 5.39/4.88 tff(31279,plain,
% 5.39/4.88 (~until2p7(s147)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[23778, 31278])).
% 5.39/4.88 tff(31280,plain,
% 5.39/4.88 (~xuntil2p8(s146)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9331, 31279])).
% 5.39/4.88 tff(31281,plain,
% 5.39/4.88 (~until2p7(s146)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9336, 31280])).
% 5.39/4.88 tff(31282,plain,
% 5.39/4.88 (~xuntil2p8(s145)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9341, 31281])).
% 5.39/4.88 tff(31283,plain,
% 5.39/4.88 (~until2p7(s145)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[23773, 31282])).
% 5.39/4.88 tff(31284,plain,
% 5.39/4.88 (~xuntil2p8(s144)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9354, 31283])).
% 5.39/4.88 tff(31285,plain,
% 5.39/4.88 (~m_main_v_state(s145, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20984, 145, 30925])).
% 5.39/4.88 tff(31286,plain,
% 5.39/4.88 (~m_main_v_state(s144, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20976, 145, 30924])).
% 5.39/4.88 tff(31287,plain,
% 5.39/4.88 (m_main_v_state(s144, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[23737, 31286])).
% 5.39/4.88 tff(31288,plain,
% 5.39/4.88 (~m_main_v_request(s144)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20997, 31287, 31285])).
% 5.39/4.88 tff(31289,plain,
% 5.39/4.88 (~node4(s144)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[21001, 63, 31288])).
% 5.39/4.88 tff(31290,plain,
% 5.39/4.88 (xuntil2p8(s144) | (~until2p7(s144))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9360, 8293, 31289])).
% 5.39/4.88 tff(31291,plain,
% 5.39/4.88 (~until2p7(s144)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31290, 31284])).
% 5.39/4.88 tff(31292,plain,
% 5.39/4.88 (~xuntil2p8(s143)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9366, 31291])).
% 5.39/4.88 tff(31293,plain,
% 5.39/4.88 (~m_main_v_state(s143, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20908, 145, 30923])).
% 5.39/4.88 tff(31294,plain,
% 5.39/4.88 (~node1(s142)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[23717, 31293])).
% 5.39/4.88 tff(31295,plain,
% 5.39/4.88 (m_main_v_state(s143, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[23725, 31293, 31294])).
% 5.39/4.88 tff(31296,plain,
% 5.39/4.88 (~m_main_v_request(s143)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[21017, 31295, 31286])).
% 5.39/4.88 tff(31297,plain,
% 5.39/4.88 (~node4(s143)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[21008, 63, 31296])).
% 5.39/4.88 tff(31298,plain,
% 5.39/4.88 (xuntil2p8(s143) | (~until2p7(s143))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9372, 8293, 31297])).
% 5.39/4.88 tff(31299,plain,
% 5.39/4.88 (~until2p7(s143)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31298, 31292])).
% 5.39/4.88 tff(31300,plain,
% 5.39/4.88 (~xuntil2p8(s142)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9378, 31299])).
% 5.39/4.88 tff(31301,plain,
% 5.39/4.88 (~m_main_v_state(s142, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20931, 145, 30922])).
% 5.39/4.88 tff(31302,plain,
% 5.39/4.88 (m_main_v_state(s142, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20935, 188, 31301])).
% 5.39/4.88 tff(31303,plain,
% 5.39/4.88 (~m_main_v_request(s142)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20924, 31302, 31293])).
% 5.39/4.88 tff(31304,plain,
% 5.39/4.88 (~node4(s142)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20915, 63, 31303])).
% 5.39/4.88 tff(31305,plain,
% 5.39/4.88 (xuntil2p8(s142) | (~until2p7(s142))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9384, 8293, 31304])).
% 5.39/4.88 tff(31306,plain,
% 5.39/4.88 (~until2p7(s142)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31305, 31300])).
% 5.39/4.88 tff(31307,plain,
% 5.39/4.88 (~xuntil2p8(s141)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9390, 31306])).
% 5.39/4.88 tff(31308,plain,
% 5.39/4.88 (~node4(s141)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20964, 31301])).
% 5.39/4.88 tff(31309,plain,
% 5.39/4.88 (xuntil2p8(s141) | (~until2p7(s141))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9396, 8293, 31308])).
% 5.39/4.88 tff(31310,plain,
% 5.39/4.88 (~until2p7(s141)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31309, 31307])).
% 5.39/4.88 tff(31311,plain,
% 5.39/4.88 (~xuntil2p8(s140)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9402, 31310])).
% 5.39/4.88 tff(31312,plain,
% 5.39/4.88 (~trans(s199, s140)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[28064, 31311, 11264])).
% 5.39/4.88 tff(31313,plain,
% 5.39/4.88 (~m_main_v_state(s141, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20511, 145, 30921])).
% 5.39/4.88 tff(31314,plain,
% 5.39/4.88 (~m_main_v_state(s140, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20534, 145, 30920])).
% 5.39/4.88 tff(31315,plain,
% 5.39/4.88 (m_main_v_state(s140, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[23681, 31314])).
% 5.39/4.88 tff(31316,plain,
% 5.39/4.88 (~m_main_v_request(s140)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20527, 31315, 31313])).
% 5.39/4.88 tff(31317,plain,
% 5.39/4.88 (~node4(s140)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20518, 63, 31316])).
% 5.39/4.88 tff(31318,plain,
% 5.39/4.88 (xuntil2p8(s140) | (~until2p7(s140))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9408, 8293, 31317])).
% 5.39/4.88 tff(31319,plain,
% 5.39/4.88 (~until2p7(s140)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31318, 31311])).
% 5.39/4.88 tff(31320,plain,
% 5.39/4.88 (~xuntil2p8(s139)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9414, 31319])).
% 5.39/4.88 tff(31321,plain,
% 5.39/4.88 (~m_main_v_state(s139, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20560, 145, 30919])).
% 5.39/4.88 tff(31322,plain,
% 5.39/4.88 (m_main_v_state(s139, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20565, 188, 31321])).
% 5.39/4.88 tff(31323,plain,
% 5.39/4.88 (~m_main_v_request(s139)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20574, 31322, 31314])).
% 5.39/4.88 tff(31324,plain,
% 5.39/4.88 (~node4(s139)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20578, 63, 31323])).
% 5.39/4.88 tff(31325,plain,
% 5.39/4.88 (xuntil2p8(s139) | (~until2p7(s139))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9420, 8293, 31324])).
% 5.39/4.88 tff(31326,plain,
% 5.39/4.88 (~until2p7(s139)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31325, 31320])).
% 5.39/4.88 tff(31327,plain,
% 5.39/4.88 (~xuntil2p8(s138)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9426, 31326])).
% 5.39/4.88 tff(31328,plain,
% 5.39/4.88 (~m_main_v_state(s138, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20127, 145, 30918])).
% 5.39/4.88 tff(31329,assumption,(~m_main_v_state(s138, c_busy)), introduced(assumption)).
% 5.39/4.88 tff(31330,assumption,(node1(s137)), introduced(assumption)).
% 5.39/4.88 tff(31331,plain,
% 5.39/4.88 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s137, c_ready) | (~node1(s137)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s137, c_ready) | (~node1(s137)))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31332,plain,
% 5.39/4.88 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s137, c_ready) | (~node1(s137)))),
% 5.39/4.88 inference(quant_inst,[status(thm)],[])).
% 5.39/4.88 tff(31333,plain,
% 5.39/4.88 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s137, c_ready) | (~node1(s137))),
% 5.39/4.88 inference(modus_ponens,[status(thm)],[31332, 31331])).
% 5.39/4.88 tff(31334,plain,
% 5.39/4.88 (m_main_v_state(s137, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31333, 2265, 31330])).
% 5.39/4.88 tff(31335,plain,
% 5.39/4.88 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s137) | (~node1(s137)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s137) | (~node1(s137)))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31336,plain,
% 5.39/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s137) | (~node1(s137)))),
% 5.39/4.88 inference(quant_inst,[status(thm)],[])).
% 5.39/4.88 tff(31337,plain,
% 5.39/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s137) | (~node1(s137))),
% 5.39/4.88 inference(modus_ponens,[status(thm)],[31336, 31335])).
% 5.39/4.88 tff(31338,plain,
% 5.39/4.88 (m_main_v_request(s137)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31337, 2276, 31330])).
% 5.39/4.88 tff(31339,plain,
% 5.39/4.88 ($false),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20215, 31338, 31334, 31329])).
% 5.39/4.88 tff(31340,plain,((~node1(s137)) | m_main_v_state(s138, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.88 tff(31341,plain,
% 5.39/4.88 (~node1(s137)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31340, 31328])).
% 5.39/4.88 tff(31342,plain,
% 5.39/4.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s137, s138)) | m_main_v_state(s138, c_busy) | node1(s137) | m_main_v_state(s138, 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(s137, s138)) | m_main_v_state(s138, c_busy) | node1(s137) | m_main_v_state(s138, c_ready))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31343,plain,
% 5.39/4.88 ((node1(s137) | m_main_v_state(s138, c_ready) | (~node2(s137, s138)) | m_main_v_state(s138, c_busy)) <=> ((~node2(s137, s138)) | m_main_v_state(s138, c_busy) | node1(s137) | m_main_v_state(s138, c_ready))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31344,plain,
% 5.39/4.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s137) | m_main_v_state(s138, c_ready) | (~node2(s137, s138)) | m_main_v_state(s138, 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(s137, s138)) | m_main_v_state(s138, c_busy) | node1(s137) | m_main_v_state(s138, c_ready)))),
% 5.39/4.88 inference(monotonicity,[status(thm)],[31343])).
% 5.39/4.88 tff(31345,plain,
% 5.39/4.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s137) | m_main_v_state(s138, c_ready) | (~node2(s137, s138)) | m_main_v_state(s138, 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(s137, s138)) | m_main_v_state(s138, c_busy) | node1(s137) | m_main_v_state(s138, c_ready))),
% 5.39/4.88 inference(transitivity,[status(thm)],[31344, 31342])).
% 5.39/4.88 tff(31346,plain,
% 5.39/4.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s137) | m_main_v_state(s138, c_ready) | (~node2(s137, s138)) | m_main_v_state(s138, c_busy))),
% 5.39/4.88 inference(quant_inst,[status(thm)],[])).
% 5.39/4.88 tff(31347,plain,
% 5.39/4.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s137, s138)) | m_main_v_state(s138, c_busy) | node1(s137) | m_main_v_state(s138, c_ready)),
% 5.39/4.88 inference(modus_ponens,[status(thm)],[31346, 31345])).
% 5.39/4.88 tff(31348,plain,
% 5.39/4.88 (m_main_v_state(s138, c_busy) | node1(s137) | m_main_v_state(s138, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31347, 2250, 20211])).
% 5.39/4.88 tff(31349,plain,
% 5.39/4.88 (m_main_v_state(s138, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31348, 31341, 31328])).
% 5.39/4.88 tff(31350,plain,
% 5.39/4.88 (~m_main_v_request(s138)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20594, 31349, 31321])).
% 5.39/4.88 tff(31351,plain,
% 5.39/4.88 (~node4(s138)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20585, 63, 31350])).
% 5.39/4.88 tff(31352,plain,
% 5.39/4.88 (xuntil2p8(s138) | (~until2p7(s138))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9432, 8293, 31351])).
% 5.39/4.88 tff(31353,plain,
% 5.39/4.88 (~until2p7(s138)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31352, 31327])).
% 5.39/4.88 tff(31354,plain,
% 5.39/4.88 (~xuntil2p8(s137)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9438, 31353])).
% 5.39/4.88 tff(31355,plain,
% 5.39/4.88 (~m_main_v_state(s137, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20134, 145, 30917])).
% 5.39/4.88 tff(31356,plain,
% 5.39/4.88 (m_main_v_state(s137, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20138, 188, 31355])).
% 5.39/4.88 tff(31357,plain,
% 5.39/4.88 (~m_main_v_request(s137)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20215, 31356, 31328])).
% 5.39/4.88 tff(31358,plain,
% 5.39/4.88 (~node4(s137)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20206, 63, 31357])).
% 5.39/4.88 tff(31359,plain,
% 5.39/4.88 (xuntil2p8(s137) | (~until2p7(s137))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9444, 8293, 31358])).
% 5.39/4.88 tff(31360,plain,
% 5.39/4.88 (~until2p7(s137)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31359, 31354])).
% 5.39/4.88 tff(31361,plain,
% 5.39/4.88 (~xuntil2p8(s136)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9450, 31360])).
% 5.39/4.88 tff(31362,plain,
% 5.39/4.88 (~m_main_v_state(s136, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20158, 145, 30916])).
% 5.39/4.88 tff(31363,assumption,(~m_main_v_state(s136, c_busy)), introduced(assumption)).
% 5.39/4.88 tff(31364,assumption,(~m_main_v_state(s136, c_ready)), introduced(assumption)).
% 5.39/4.88 tff(31365,plain,
% 5.39/4.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s135, s136)) | m_main_v_state(s136, c_busy) | node1(s135) | m_main_v_state(s136, 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(s135, s136)) | m_main_v_state(s136, c_busy) | node1(s135) | m_main_v_state(s136, c_ready))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31366,plain,
% 5.39/4.88 ((node1(s135) | m_main_v_state(s136, c_ready) | (~node2(s135, s136)) | m_main_v_state(s136, c_busy)) <=> ((~node2(s135, s136)) | m_main_v_state(s136, c_busy) | node1(s135) | m_main_v_state(s136, c_ready))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31367,plain,
% 5.39/4.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s135) | m_main_v_state(s136, c_ready) | (~node2(s135, s136)) | m_main_v_state(s136, 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(s135, s136)) | m_main_v_state(s136, c_busy) | node1(s135) | m_main_v_state(s136, c_ready)))),
% 5.39/4.88 inference(monotonicity,[status(thm)],[31366])).
% 5.39/4.88 tff(31368,plain,
% 5.39/4.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s135) | m_main_v_state(s136, c_ready) | (~node2(s135, s136)) | m_main_v_state(s136, 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(s135, s136)) | m_main_v_state(s136, c_busy) | node1(s135) | m_main_v_state(s136, c_ready))),
% 5.39/4.88 inference(transitivity,[status(thm)],[31367, 31365])).
% 5.39/4.88 tff(31369,plain,
% 5.39/4.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s135) | m_main_v_state(s136, c_ready) | (~node2(s135, s136)) | m_main_v_state(s136, c_busy))),
% 5.39/4.88 inference(quant_inst,[status(thm)],[])).
% 5.39/4.88 tff(31370,plain,
% 5.39/4.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s135, s136)) | m_main_v_state(s136, c_busy) | node1(s135) | m_main_v_state(s136, c_ready)),
% 5.39/4.88 inference(modus_ponens,[status(thm)],[31369, 31368])).
% 5.39/4.88 tff(31371,plain,
% 5.39/4.88 (m_main_v_state(s136, c_busy) | node1(s135) | m_main_v_state(s136, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31370, 2250, 20188])).
% 5.39/4.88 tff(31372,plain,
% 5.39/4.88 (node1(s135)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31371, 31363, 31364])).
% 5.39/4.88 tff(31373,plain,
% 5.39/4.88 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s135, c_ready) | (~node1(s135)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s135, c_ready) | (~node1(s135)))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31374,plain,
% 5.39/4.88 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s135, c_ready) | (~node1(s135)))),
% 5.39/4.88 inference(quant_inst,[status(thm)],[])).
% 5.39/4.88 tff(31375,plain,
% 5.39/4.88 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s135, c_ready) | (~node1(s135))),
% 5.39/4.88 inference(modus_ponens,[status(thm)],[31374, 31373])).
% 5.39/4.88 tff(31376,plain,
% 5.39/4.88 (m_main_v_state(s135, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31375, 2265, 31372])).
% 5.39/4.88 tff(31377,plain,
% 5.39/4.88 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s135) | (~node1(s135)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s135) | (~node1(s135)))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31378,plain,
% 5.39/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s135) | (~node1(s135)))),
% 5.39/4.88 inference(quant_inst,[status(thm)],[])).
% 5.39/4.88 tff(31379,plain,
% 5.39/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s135) | (~node1(s135))),
% 5.39/4.88 inference(modus_ponens,[status(thm)],[31378, 31377])).
% 5.39/4.88 tff(31380,plain,
% 5.39/4.88 (m_main_v_request(s135)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31379, 2276, 31372])).
% 5.39/4.88 tff(31381,plain,
% 5.39/4.88 ($false),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20192, 31380, 31376, 31363])).
% 5.39/4.88 tff(31382,plain,(m_main_v_state(s136, c_busy) | m_main_v_state(s136, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.88 tff(31383,plain,
% 5.39/4.88 (m_main_v_state(s136, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31382, 31362])).
% 5.39/4.88 tff(31384,plain,
% 5.39/4.88 (~m_main_v_request(s136)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20172, 31355, 31383])).
% 5.39/4.88 tff(31385,plain,
% 5.39/4.88 (~node4(s136)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20176, 63, 31384])).
% 5.39/4.88 tff(31386,plain,
% 5.39/4.88 (xuntil2p8(s136) | (~until2p7(s136))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9456, 8293, 31385])).
% 5.39/4.88 tff(31387,plain,
% 5.39/4.88 (~until2p7(s136)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31386, 31361])).
% 5.39/4.88 tff(31388,plain,
% 5.39/4.88 (~xuntil2p8(s135)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9462, 31387])).
% 5.39/4.88 tff(31389,plain,
% 5.39/4.88 (~m_main_v_state(s135, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19541, 145, 30915])).
% 5.39/4.88 tff(31390,assumption,(~m_main_v_state(s135, c_busy)), introduced(assumption)).
% 5.39/4.88 tff(31391,assumption,(~m_main_v_state(s135, c_ready)), introduced(assumption)).
% 5.39/4.88 tff(31392,plain,
% 5.39/4.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s134, s135)) | m_main_v_state(s135, c_busy) | node1(s134) | m_main_v_state(s135, 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(s134, s135)) | m_main_v_state(s135, c_busy) | node1(s134) | m_main_v_state(s135, c_ready))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31393,plain,
% 5.39/4.88 ((node1(s134) | m_main_v_state(s135, c_ready) | (~node2(s134, s135)) | m_main_v_state(s135, c_busy)) <=> ((~node2(s134, s135)) | m_main_v_state(s135, c_busy) | node1(s134) | m_main_v_state(s135, c_ready))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31394,plain,
% 5.39/4.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s134) | m_main_v_state(s135, c_ready) | (~node2(s134, s135)) | m_main_v_state(s135, 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(s134, s135)) | m_main_v_state(s135, c_busy) | node1(s134) | m_main_v_state(s135, c_ready)))),
% 5.39/4.88 inference(monotonicity,[status(thm)],[31393])).
% 5.39/4.88 tff(31395,plain,
% 5.39/4.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s134) | m_main_v_state(s135, c_ready) | (~node2(s134, s135)) | m_main_v_state(s135, 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(s134, s135)) | m_main_v_state(s135, c_busy) | node1(s134) | m_main_v_state(s135, c_ready))),
% 5.39/4.88 inference(transitivity,[status(thm)],[31394, 31392])).
% 5.39/4.88 tff(31396,plain,
% 5.39/4.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s134) | m_main_v_state(s135, c_ready) | (~node2(s134, s135)) | m_main_v_state(s135, c_busy))),
% 5.39/4.88 inference(quant_inst,[status(thm)],[])).
% 5.39/4.88 tff(31397,plain,
% 5.39/4.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s134, s135)) | m_main_v_state(s135, c_busy) | node1(s134) | m_main_v_state(s135, c_ready)),
% 5.39/4.88 inference(modus_ponens,[status(thm)],[31396, 31395])).
% 5.39/4.88 tff(31398,plain,
% 5.39/4.88 (m_main_v_state(s135, c_busy) | node1(s134) | m_main_v_state(s135, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31397, 2250, 19557])).
% 5.39/4.88 tff(31399,plain,
% 5.39/4.88 (node1(s134)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31398, 31390, 31391])).
% 5.39/4.88 tff(31400,plain,
% 5.39/4.88 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s134, c_ready) | (~node1(s134)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s134, c_ready) | (~node1(s134)))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31401,plain,
% 5.39/4.88 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s134, c_ready) | (~node1(s134)))),
% 5.39/4.88 inference(quant_inst,[status(thm)],[])).
% 5.39/4.88 tff(31402,plain,
% 5.39/4.88 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s134, c_ready) | (~node1(s134))),
% 5.39/4.88 inference(modus_ponens,[status(thm)],[31401, 31400])).
% 5.39/4.88 tff(31403,plain,
% 5.39/4.88 (m_main_v_state(s134, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31402, 2265, 31399])).
% 5.39/4.88 tff(31404,plain,
% 5.39/4.88 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s134) | (~node1(s134)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s134) | (~node1(s134)))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31405,plain,
% 5.39/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s134) | (~node1(s134)))),
% 5.39/4.88 inference(quant_inst,[status(thm)],[])).
% 5.39/4.88 tff(31406,plain,
% 5.39/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s134) | (~node1(s134))),
% 5.39/4.88 inference(modus_ponens,[status(thm)],[31405, 31404])).
% 5.39/4.88 tff(31407,plain,
% 5.39/4.88 (m_main_v_request(s134)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31406, 2276, 31399])).
% 5.39/4.88 tff(31408,plain,
% 5.39/4.88 ($false),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19561, 31407, 31403, 31390])).
% 5.39/4.88 tff(31409,plain,(m_main_v_state(s135, c_busy) | m_main_v_state(s135, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.88 tff(31410,plain,
% 5.39/4.88 (m_main_v_state(s135, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31409, 31389])).
% 5.39/4.88 tff(31411,plain,
% 5.39/4.88 (~m_main_v_request(s135)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20192, 31410, 31362])).
% 5.39/4.88 tff(31412,plain,
% 5.39/4.88 (~node4(s135)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[20183, 63, 31411])).
% 5.39/4.88 tff(31413,plain,
% 5.39/4.88 (xuntil2p8(s135) | (~until2p7(s135))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9468, 8293, 31412])).
% 5.39/4.88 tff(31414,plain,
% 5.39/4.88 (~until2p7(s135)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31413, 31388])).
% 5.39/4.88 tff(31415,plain,
% 5.39/4.88 (~xuntil2p8(s134)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9474, 31414])).
% 5.39/4.88 tff(31416,plain,
% 5.39/4.88 (~m_main_v_state(s134, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19548, 145, 30914])).
% 5.39/4.88 tff(31417,assumption,(~m_main_v_state(s134, c_busy)), introduced(assumption)).
% 5.39/4.88 tff(31418,assumption,(~m_main_v_state(s134, c_ready)), introduced(assumption)).
% 5.39/4.88 tff(31419,plain,
% 5.39/4.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s133, s134)) | m_main_v_state(s134, c_busy) | node1(s133) | m_main_v_state(s134, 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(s133, s134)) | m_main_v_state(s134, c_busy) | node1(s133) | m_main_v_state(s134, c_ready))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31420,plain,
% 5.39/4.88 ((node1(s133) | m_main_v_state(s134, c_ready) | (~node2(s133, s134)) | m_main_v_state(s134, c_busy)) <=> ((~node2(s133, s134)) | m_main_v_state(s134, c_busy) | node1(s133) | m_main_v_state(s134, c_ready))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31421,plain,
% 5.39/4.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s133) | m_main_v_state(s134, c_ready) | (~node2(s133, s134)) | m_main_v_state(s134, 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(s133, s134)) | m_main_v_state(s134, c_busy) | node1(s133) | m_main_v_state(s134, c_ready)))),
% 5.39/4.88 inference(monotonicity,[status(thm)],[31420])).
% 5.39/4.88 tff(31422,plain,
% 5.39/4.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s133) | m_main_v_state(s134, c_ready) | (~node2(s133, s134)) | m_main_v_state(s134, 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(s133, s134)) | m_main_v_state(s134, c_busy) | node1(s133) | m_main_v_state(s134, c_ready))),
% 5.39/4.88 inference(transitivity,[status(thm)],[31421, 31419])).
% 5.39/4.88 tff(31423,plain,
% 5.39/4.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s133) | m_main_v_state(s134, c_ready) | (~node2(s133, s134)) | m_main_v_state(s134, c_busy))),
% 5.39/4.88 inference(quant_inst,[status(thm)],[])).
% 5.39/4.88 tff(31424,plain,
% 5.39/4.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s133, s134)) | m_main_v_state(s134, c_busy) | node1(s133) | m_main_v_state(s134, c_ready)),
% 5.39/4.88 inference(modus_ponens,[status(thm)],[31423, 31422])).
% 5.39/4.88 tff(31425,plain,
% 5.39/4.88 (m_main_v_state(s134, c_busy) | node1(s133) | m_main_v_state(s134, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31424, 2250, 19827])).
% 5.39/4.88 tff(31426,plain,
% 5.39/4.88 (node1(s133)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31425, 31417, 31418])).
% 5.39/4.88 tff(31427,plain,
% 5.39/4.88 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s133, c_ready) | (~node1(s133)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s133, c_ready) | (~node1(s133)))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31428,plain,
% 5.39/4.88 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s133, c_ready) | (~node1(s133)))),
% 5.39/4.88 inference(quant_inst,[status(thm)],[])).
% 5.39/4.88 tff(31429,plain,
% 5.39/4.88 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s133, c_ready) | (~node1(s133))),
% 5.39/4.88 inference(modus_ponens,[status(thm)],[31428, 31427])).
% 5.39/4.88 tff(31430,plain,
% 5.39/4.88 (m_main_v_state(s133, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31429, 2265, 31426])).
% 5.39/4.88 tff(31431,plain,
% 5.39/4.88 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s133) | (~node1(s133)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s133) | (~node1(s133)))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31432,plain,
% 5.39/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s133) | (~node1(s133)))),
% 5.39/4.88 inference(quant_inst,[status(thm)],[])).
% 5.39/4.88 tff(31433,plain,
% 5.39/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s133) | (~node1(s133))),
% 5.39/4.88 inference(modus_ponens,[status(thm)],[31432, 31431])).
% 5.39/4.88 tff(31434,plain,
% 5.39/4.88 (m_main_v_request(s133)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31433, 2276, 31426])).
% 5.39/4.88 tff(31435,plain,
% 5.39/4.88 ($false),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19831, 31434, 31430, 31417])).
% 5.39/4.88 tff(31436,plain,(m_main_v_state(s134, c_busy) | m_main_v_state(s134, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.88 tff(31437,plain,
% 5.39/4.88 (m_main_v_state(s134, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31436, 31416])).
% 5.39/4.88 tff(31438,plain,
% 5.39/4.88 (~m_main_v_request(s134)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19561, 31437, 31389])).
% 5.39/4.88 tff(31439,plain,
% 5.39/4.88 (~node4(s134)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19565, 63, 31438])).
% 5.39/4.88 tff(31440,plain,
% 5.39/4.88 (xuntil2p8(s134) | (~until2p7(s134))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9480, 8293, 31439])).
% 5.39/4.88 tff(31441,plain,
% 5.39/4.88 (~until2p7(s134)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31440, 31415])).
% 5.39/4.88 tff(31442,plain,
% 5.39/4.88 (~xuntil2p8(s133)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9486, 31441])).
% 5.39/4.88 tff(31443,plain,
% 5.39/4.88 (~m_main_v_state(s133, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[18860, 145, 30913])).
% 5.39/4.88 tff(31444,plain,
% 5.39/4.88 (~m_main_v_state(s132, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[18867, 145, 30912])).
% 5.39/4.88 tff(31445,plain,
% 5.39/4.88 (~node1(s131)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[23608, 31444])).
% 5.39/4.88 tff(31446,plain,
% 5.39/4.88 (m_main_v_state(s132, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[23616, 31445, 31444])).
% 5.39/4.88 tff(31447,assumption,(~m_main_v_state(s133, c_ready)), introduced(assumption)).
% 5.39/4.88 tff(31448,assumption,(~m_main_v_state(s133, c_busy)), introduced(assumption)).
% 5.39/4.88 tff(31449,plain,
% 5.39/4.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s132, s133)) | m_main_v_state(s133, c_busy) | node1(s132) | m_main_v_state(s133, 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(s132, s133)) | m_main_v_state(s133, c_busy) | node1(s132) | m_main_v_state(s133, c_ready))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31450,plain,
% 5.39/4.88 ((node1(s132) | m_main_v_state(s133, c_ready) | (~node2(s132, s133)) | m_main_v_state(s133, c_busy)) <=> ((~node2(s132, s133)) | m_main_v_state(s133, c_busy) | node1(s132) | m_main_v_state(s133, c_ready))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31451,plain,
% 5.39/4.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s132) | m_main_v_state(s133, c_ready) | (~node2(s132, s133)) | m_main_v_state(s133, 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(s132, s133)) | m_main_v_state(s133, c_busy) | node1(s132) | m_main_v_state(s133, c_ready)))),
% 5.39/4.88 inference(monotonicity,[status(thm)],[31450])).
% 5.39/4.88 tff(31452,plain,
% 5.39/4.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s132) | m_main_v_state(s133, c_ready) | (~node2(s132, s133)) | m_main_v_state(s133, 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(s132, s133)) | m_main_v_state(s133, c_busy) | node1(s132) | m_main_v_state(s133, c_ready))),
% 5.39/4.88 inference(transitivity,[status(thm)],[31451, 31449])).
% 5.39/4.88 tff(31453,plain,
% 5.39/4.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s132) | m_main_v_state(s133, c_ready) | (~node2(s132, s133)) | m_main_v_state(s133, c_busy))),
% 5.39/4.88 inference(quant_inst,[status(thm)],[])).
% 5.39/4.88 tff(31454,plain,
% 5.39/4.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s132, s133)) | m_main_v_state(s133, c_busy) | node1(s132) | m_main_v_state(s133, c_ready)),
% 5.39/4.88 inference(modus_ponens,[status(thm)],[31453, 31452])).
% 5.39/4.88 tff(31455,plain,
% 5.39/4.88 (m_main_v_state(s133, c_busy) | node1(s132) | m_main_v_state(s133, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31454, 2250, 19272])).
% 5.39/4.88 tff(31456,plain,
% 5.39/4.88 (node1(s132)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31455, 31448, 31447])).
% 5.39/4.88 tff(31457,assumption,(m_main_v_state(s132, c_ready)), introduced(assumption)).
% 5.39/4.88 tff(31458,plain,
% 5.39/4.88 (~m_main_v_request(s132)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19276, 31448, 31457])).
% 5.39/4.88 tff(31459,plain,
% 5.39/4.88 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s132) | (~node1(s132)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s132) | (~node1(s132)))),
% 5.39/4.88 inference(rewrite,[status(thm)],[])).
% 5.39/4.88 tff(31460,plain,
% 5.39/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s132) | (~node1(s132)))),
% 5.39/4.88 inference(quant_inst,[status(thm)],[])).
% 5.39/4.88 tff(31461,plain,
% 5.39/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s132) | (~node1(s132))),
% 5.39/4.88 inference(modus_ponens,[status(thm)],[31460, 31459])).
% 5.39/4.88 tff(31462,plain,
% 5.39/4.88 ($false),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31461, 2276, 31458, 31456])).
% 5.39/4.88 tff(31463,plain,(m_main_v_state(s133, c_busy) | m_main_v_state(s133, c_ready) | (~m_main_v_state(s132, c_ready))), inference(lemma,lemma(discharge,[]))).
% 5.39/4.88 tff(31464,plain,
% 5.39/4.88 (m_main_v_state(s133, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31463, 31446, 31443])).
% 5.39/4.88 tff(31465,plain,
% 5.39/4.88 (~m_main_v_request(s133)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19831, 31464, 31416])).
% 5.39/4.88 tff(31466,plain,
% 5.39/4.88 (~node4(s133)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19835, 63, 31465])).
% 5.39/4.88 tff(31467,plain,
% 5.39/4.88 (xuntil2p8(s133) | (~until2p7(s133))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9492, 8293, 31466])).
% 5.39/4.88 tff(31468,plain,
% 5.39/4.88 (~until2p7(s133)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31467, 31442])).
% 5.39/4.88 tff(31469,plain,
% 5.39/4.88 (~xuntil2p8(s132)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9498, 31468])).
% 5.39/4.88 tff(31470,plain,
% 5.39/4.88 (~m_main_v_request(s132)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19276, 31446, 31443])).
% 5.39/4.88 tff(31471,plain,
% 5.39/4.88 (~node4(s132)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19267, 63, 31470])).
% 5.39/4.88 tff(31472,plain,
% 5.39/4.88 (xuntil2p8(s132) | (~until2p7(s132))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9504, 8293, 31471])).
% 5.39/4.88 tff(31473,plain,
% 5.39/4.88 (~until2p7(s132)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31472, 31469])).
% 5.39/4.88 tff(31474,plain,
% 5.39/4.88 (~xuntil2p8(s131)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9510, 31473])).
% 5.39/4.88 tff(31475,plain,
% 5.39/4.88 (~m_main_v_state(s131, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[18925, 145, 30911])).
% 5.39/4.88 tff(31476,plain,
% 5.39/4.88 (m_main_v_state(s131, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[18959, 188, 31475])).
% 5.39/4.88 tff(31477,plain,
% 5.39/4.88 (~m_main_v_request(s131)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[18968, 31476, 31444])).
% 5.39/4.88 tff(31478,plain,
% 5.39/4.88 (~node4(s131)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[18972, 63, 31477])).
% 5.39/4.88 tff(31479,plain,
% 5.39/4.88 (xuntil2p8(s131) | (~until2p7(s131))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9516, 8293, 31478])).
% 5.39/4.88 tff(31480,plain,
% 5.39/4.88 (~until2p7(s131)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31479, 31474])).
% 5.39/4.88 tff(31481,plain,
% 5.39/4.88 (~xuntil2p8(s130)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9522, 31480])).
% 5.39/4.88 tff(31482,plain,
% 5.39/4.88 (~node4(s130)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[18954, 31475])).
% 5.39/4.88 tff(31483,plain,
% 5.39/4.88 (xuntil2p8(s130) | (~until2p7(s130))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9528, 8293, 31482])).
% 5.39/4.88 tff(31484,plain,
% 5.39/4.88 (~until2p7(s130)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31483, 31481])).
% 5.39/4.88 tff(31485,plain,
% 5.39/4.88 (~xuntil2p8(s129)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9534, 31484])).
% 5.39/4.88 tff(31486,plain,
% 5.39/4.88 (~m_main_v_state(s130, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[18948, 145, 30910])).
% 5.39/4.88 tff(31487,plain,
% 5.39/4.88 (~m_main_v_state(s129, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19018, 145, 30909])).
% 5.39/4.88 tff(31488,plain,
% 5.39/4.88 (m_main_v_state(s129, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19053, 188, 31487])).
% 5.39/4.88 tff(31489,plain,
% 5.39/4.88 (~m_main_v_request(s129)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19062, 31488, 31486])).
% 5.39/4.88 tff(31490,plain,
% 5.39/4.88 (~node4(s129)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19066, 63, 31489])).
% 5.39/4.88 tff(31491,plain,
% 5.39/4.88 (xuntil2p8(s129) | (~until2p7(s129))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9540, 8293, 31490])).
% 5.39/4.88 tff(31492,plain,
% 5.39/4.88 (~until2p7(s129)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31491, 31485])).
% 5.39/4.88 tff(31493,plain,
% 5.39/4.88 (~xuntil2p8(s128)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9546, 31492])).
% 5.39/4.88 tff(31494,plain,
% 5.39/4.88 (~node4(s128)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19047, 31487])).
% 5.39/4.88 tff(31495,plain,
% 5.39/4.88 (xuntil2p8(s128) | (~until2p7(s128))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9552, 8293, 31494])).
% 5.39/4.88 tff(31496,plain,
% 5.39/4.88 (~until2p7(s128)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31495, 31493])).
% 5.39/4.88 tff(31497,plain,
% 5.39/4.88 (~xuntil2p8(s127)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9558, 31496])).
% 5.39/4.88 tff(31498,plain,
% 5.39/4.88 (~m_main_v_state(s128, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19041, 145, 30908])).
% 5.39/4.88 tff(31499,plain,
% 5.39/4.88 (~m_main_v_state(s127, c_busy)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19103, 145, 30907])).
% 5.39/4.88 tff(31500,plain,
% 5.39/4.88 (m_main_v_state(s127, c_ready)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19138, 188, 31499])).
% 5.39/4.88 tff(31501,plain,
% 5.39/4.88 (~m_main_v_request(s127)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19147, 31500, 31498])).
% 5.39/4.88 tff(31502,plain,
% 5.39/4.88 (~node4(s127)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19151, 63, 31501])).
% 5.39/4.88 tff(31503,plain,
% 5.39/4.88 (xuntil2p8(s127) | (~until2p7(s127))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9564, 8293, 31502])).
% 5.39/4.88 tff(31504,plain,
% 5.39/4.88 (~until2p7(s127)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31503, 31497])).
% 5.39/4.88 tff(31505,plain,
% 5.39/4.88 (~xuntil2p8(s126)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9570, 31504])).
% 5.39/4.88 tff(31506,plain,
% 5.39/4.88 (~node4(s126)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[19132, 31499])).
% 5.39/4.88 tff(31507,plain,
% 5.39/4.88 (xuntil2p8(s126) | (~until2p7(s126))),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[9576, 8293, 31506])).
% 5.39/4.88 tff(31508,plain,
% 5.39/4.88 (~until2p7(s126)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[31507, 31505])).
% 5.39/4.88 tff(31509,plain,
% 5.39/4.88 (~trans(s199, s126)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[13187, 31508, 11264])).
% 5.39/4.88 tff(31510,plain,
% 5.39/4.88 (~trans(s199, s148)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[11460, 31277, 11264])).
% 5.39/4.88 tff(31511,plain,
% 5.39/4.88 (~trans(s199, s146)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[11482, 31281, 11264])).
% 5.39/4.88 tff(31512,plain,
% 5.39/4.88 (~trans(s199, s134)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[28123, 31311, 11264])).
% 5.39/4.88 tff(31513,plain,
% 5.39/4.88 (~trans(s199, s119)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[29483, 31497, 11264, 31498])).
% 5.39/4.88 tff(31514,plain,
% 5.39/4.88 (~trans(s199, s162)),
% 5.39/4.88 inference(unit_resolution,[status(thm)],[11515, 31126, 11264])).
% 5.39/4.89 tff(31515,plain,
% 5.39/4.89 (~always3(s95)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[5824, 24186])).
% 5.39/4.89 tff(31516,plain,
% 5.39/4.89 (~always3(s94)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[5836, 31515])).
% 5.39/4.89 tff(31517,plain,
% 5.39/4.89 (~always3(s93)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[5848, 31516])).
% 5.39/4.89 tff(31518,plain,
% 5.39/4.89 (~always3(s92)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[5860, 31517])).
% 5.39/4.89 tff(31519,plain,
% 5.39/4.89 (~always3(s91)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[5872, 31518])).
% 5.39/4.89 tff(31520,plain,
% 5.39/4.89 (~always3(s90)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[5884, 31519])).
% 5.39/4.89 tff(31521,plain,
% 5.39/4.89 (~always3(s89)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[5896, 31520])).
% 5.39/4.89 tff(31522,plain,
% 5.39/4.89 (~always3(s88)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[5908, 31521])).
% 5.39/4.89 tff(31523,plain,
% 5.39/4.89 (~always3(s87)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[5920, 31522])).
% 5.39/4.89 tff(31524,plain,
% 5.39/4.89 (~always3(s86)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[5932, 31523])).
% 5.39/4.89 tff(31525,plain,
% 5.39/4.89 (~always3(s85)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[5944, 31524])).
% 5.39/4.89 tff(31526,plain,
% 5.39/4.89 (~always3(s84)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[5956, 31525])).
% 5.39/4.89 tff(31527,plain,
% 5.39/4.89 (~always3(s83)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[5968, 31526])).
% 5.39/4.89 tff(31528,plain,
% 5.39/4.89 (~always3(s82)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[5980, 31527])).
% 5.39/4.89 tff(31529,plain,
% 5.39/4.89 (~trans(s199, s82)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[24346, 31528])).
% 5.39/4.89 tff(31530,plain,
% 5.39/4.89 (~trans(s199, s130)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[11537, 31484, 11264])).
% 5.39/4.89 tff(31531,plain,
% 5.39/4.89 (~trans(s199, s95)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[24356, 31515])).
% 5.39/4.89 tff(31532,plain,
% 5.39/4.89 (~trans(s199, s88)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[24373, 31522])).
% 5.39/4.89 tff(31533,plain,
% 5.39/4.89 (~trans(s199, s149)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[12296, 31275, 11264])).
% 5.39/4.89 tff(31534,plain,
% 5.39/4.89 (~always3(s81)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[5992, 31528])).
% 5.39/4.89 tff(31535,plain,
% 5.39/4.89 (~always3(s80)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[6004, 31534])).
% 5.39/4.89 tff(31536,plain,
% 5.39/4.89 (~always3(s79)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[6016, 31535])).
% 5.39/4.89 tff(31537,plain,
% 5.39/4.89 (~trans(s199, s79)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[24384, 31536])).
% 5.39/4.89 tff(31538,plain,
% 5.39/4.89 (~trans(s199, s157)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[11867, 31177, 11264])).
% 5.39/4.89 tff(31539,plain,
% 5.39/4.89 (~trans(s199, s128)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[11658, 31496, 11264])).
% 5.39/4.89 tff(31540,plain,
% 5.39/4.89 (~trans(s199, s159)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[11669, 31166, 11264])).
% 5.39/4.89 tff(31541,plain,
% 5.39/4.89 (~trans(s199, s98)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[24397, 24184])).
% 5.39/4.89 tff(31542,plain,
% 5.39/4.89 (~trans(s199, s142)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[11735, 31306, 11264])).
% 5.39/4.89 tff(31543,plain,
% 5.39/4.89 (~trans(s199, s84)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[24407, 31526])).
% 5.39/4.89 tff(31544,plain,
% 5.39/4.89 (~trans(s199, s154)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[13319, 31245, 11264])).
% 5.39/4.89 tff(31545,plain,
% 5.39/4.89 (~trans(s199, s105)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[24417, 24177])).
% 5.39/4.89 tff(31546,plain,
% 5.39/4.89 (~trans(s199, s155)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[27463, 31185, 11264, 31179])).
% 5.39/4.89 tff(31547,plain,
% 5.39/4.89 (~trans(s199, s156)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[11779, 31184, 11264])).
% 5.39/4.89 tff(31548,plain,
% 5.39/4.89 (~trans(s199, s94)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[24442, 31516])).
% 5.39/4.89 tff(31549,plain,
% 5.39/4.89 (~trans(s199, s150)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[27430, 31178, 11264, 31172])).
% 5.39/4.89 tff(31550,plain,
% 5.39/4.89 (~trans(s199, s153)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[27336, 31171, 11264])).
% 5.39/4.89 tff(31551,plain,
% 5.39/4.89 (~m_main_v_state(s126, c_busy)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[19126, 145, 30906])).
% 5.39/4.89 tff(31552,plain,
% 5.39/4.89 (~xuntil2p8(s125)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[9582, 31508])).
% 5.39/4.89 tff(31553,plain,
% 5.39/4.89 (~trans(s199, s120)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[29709, 31552, 11264, 31551])).
% 5.39/4.89 tff(31554,plain,
% 5.39/4.89 (~trans(s199, s97)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[24456, 24185])).
% 5.39/4.89 tff(31555,plain,
% 5.39/4.89 (~trans(s199, s104)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[24480, 24178])).
% 5.39/4.89 tff(31556,plain,
% 5.39/4.89 (~trans(s199, s90)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[24491, 31520])).
% 5.39/4.89 tff(31557,plain,
% 5.39/4.89 (~trans(s199, s85)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[24502, 31525])).
% 5.39/4.89 tff(31558,plain,
% 5.39/4.89 (~trans(s199, s102)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[24514, 24180])).
% 5.39/4.89 tff(31559,plain,
% 5.39/4.89 (~trans(s199, s132)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[12175, 31473, 11264])).
% 5.39/4.89 tff(31560,plain,
% 5.39/4.89 (~trans(s199, s158)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[12208, 31170, 11264])).
% 5.39/4.89 tff(31561,plain,
% 5.39/4.89 (~m_main_v_state(s125, c_busy)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[19181, 145, 30905])).
% 5.39/4.89 tff(31562,assumption,(~m_main_v_state(s125, c_busy)), introduced(assumption)).
% 5.39/4.89 tff(31563,assumption,(~m_main_v_state(s125, c_ready)), introduced(assumption)).
% 5.39/4.89 tff(31564,plain,
% 5.39/4.89 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s124, s125)) | m_main_v_state(s125, c_busy) | node1(s124) | m_main_v_state(s125, 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(s124, s125)) | m_main_v_state(s125, c_busy) | node1(s124) | m_main_v_state(s125, c_ready))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31565,plain,
% 5.39/4.89 ((node1(s124) | m_main_v_state(s125, c_ready) | (~node2(s124, s125)) | m_main_v_state(s125, c_busy)) <=> ((~node2(s124, s125)) | m_main_v_state(s125, c_busy) | node1(s124) | m_main_v_state(s125, c_ready))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31566,plain,
% 5.39/4.89 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s124) | m_main_v_state(s125, c_ready) | (~node2(s124, s125)) | m_main_v_state(s125, 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(s124, s125)) | m_main_v_state(s125, c_busy) | node1(s124) | m_main_v_state(s125, c_ready)))),
% 5.39/4.89 inference(monotonicity,[status(thm)],[31565])).
% 5.39/4.89 tff(31567,plain,
% 5.39/4.89 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s124) | m_main_v_state(s125, c_ready) | (~node2(s124, s125)) | m_main_v_state(s125, 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(s124, s125)) | m_main_v_state(s125, c_busy) | node1(s124) | m_main_v_state(s125, c_ready))),
% 5.39/4.89 inference(transitivity,[status(thm)],[31566, 31564])).
% 5.39/4.89 tff(31568,plain,
% 5.39/4.89 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s124) | m_main_v_state(s125, c_ready) | (~node2(s124, s125)) | m_main_v_state(s125, c_busy))),
% 5.39/4.89 inference(quant_inst,[status(thm)],[])).
% 5.39/4.89 tff(31569,plain,
% 5.39/4.89 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s124, s125)) | m_main_v_state(s125, c_busy) | node1(s124) | m_main_v_state(s125, c_ready)),
% 5.39/4.89 inference(modus_ponens,[status(thm)],[31568, 31567])).
% 5.39/4.89 tff(31570,plain,
% 5.39/4.89 (m_main_v_state(s125, c_busy) | node1(s124) | m_main_v_state(s125, c_ready)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31569, 2250, 19228])).
% 5.39/4.89 tff(31571,plain,
% 5.39/4.89 (node1(s124)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31570, 31562, 31563])).
% 5.39/4.89 tff(31572,plain,
% 5.39/4.89 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s124, c_ready) | (~node1(s124)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s124, c_ready) | (~node1(s124)))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31573,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s124, c_ready) | (~node1(s124)))),
% 5.39/4.89 inference(quant_inst,[status(thm)],[])).
% 5.39/4.89 tff(31574,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s124, c_ready) | (~node1(s124))),
% 5.39/4.89 inference(modus_ponens,[status(thm)],[31573, 31572])).
% 5.39/4.89 tff(31575,plain,
% 5.39/4.89 (m_main_v_state(s124, c_ready)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31574, 2265, 31571])).
% 5.39/4.89 tff(31576,plain,
% 5.39/4.89 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s124) | (~node1(s124)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s124) | (~node1(s124)))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31577,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s124) | (~node1(s124)))),
% 5.39/4.89 inference(quant_inst,[status(thm)],[])).
% 5.39/4.89 tff(31578,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s124) | (~node1(s124))),
% 5.39/4.89 inference(modus_ponens,[status(thm)],[31577, 31576])).
% 5.39/4.89 tff(31579,plain,
% 5.39/4.89 (m_main_v_request(s124)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31578, 2276, 31571])).
% 5.39/4.89 tff(31580,plain,
% 5.39/4.89 ($false),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[19232, 31579, 31575, 31562])).
% 5.39/4.89 tff(31581,plain,(m_main_v_state(s125, c_busy) | m_main_v_state(s125, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.89 tff(31582,plain,
% 5.39/4.89 (m_main_v_state(s125, c_ready)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31581, 31561])).
% 5.39/4.89 tff(31583,plain,
% 5.39/4.89 (~m_main_v_request(s125)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[19194, 31551, 31582])).
% 5.39/4.89 tff(31584,plain,
% 5.39/4.89 (~node4(s125)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[19198, 63, 31583])).
% 5.39/4.89 tff(31585,plain,
% 5.39/4.89 (xuntil2p8(s125) | (~until2p7(s125))),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[9588, 8293, 31584])).
% 5.39/4.89 tff(31586,plain,
% 5.39/4.89 (~until2p7(s125)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31585, 31552])).
% 5.39/4.89 tff(31587,plain,
% 5.39/4.89 (~xuntil2p8(s124)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[9594, 31586])).
% 5.39/4.89 tff(31588,plain,
% 5.39/4.89 (~m_main_v_state(s124, c_busy)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[19219, 145, 30904])).
% 5.39/4.89 tff(31589,assumption,(~m_main_v_state(s124, c_busy)), introduced(assumption)).
% 5.39/4.89 tff(31590,assumption,(~m_main_v_state(s124, c_ready)), introduced(assumption)).
% 5.39/4.89 tff(31591,plain,
% 5.39/4.89 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s123, s124)) | m_main_v_state(s124, c_busy) | node1(s123) | m_main_v_state(s124, 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(s123, s124)) | m_main_v_state(s124, c_busy) | node1(s123) | m_main_v_state(s124, c_ready))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31592,plain,
% 5.39/4.89 ((node1(s123) | m_main_v_state(s124, c_ready) | (~node2(s123, s124)) | m_main_v_state(s124, c_busy)) <=> ((~node2(s123, s124)) | m_main_v_state(s124, c_busy) | node1(s123) | m_main_v_state(s124, c_ready))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31593,plain,
% 5.39/4.89 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s123) | m_main_v_state(s124, c_ready) | (~node2(s123, s124)) | m_main_v_state(s124, 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(s123, s124)) | m_main_v_state(s124, c_busy) | node1(s123) | m_main_v_state(s124, c_ready)))),
% 5.39/4.89 inference(monotonicity,[status(thm)],[31592])).
% 5.39/4.89 tff(31594,plain,
% 5.39/4.89 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s123) | m_main_v_state(s124, c_ready) | (~node2(s123, s124)) | m_main_v_state(s124, 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(s123, s124)) | m_main_v_state(s124, c_busy) | node1(s123) | m_main_v_state(s124, c_ready))),
% 5.39/4.89 inference(transitivity,[status(thm)],[31593, 31591])).
% 5.39/4.89 tff(31595,plain,
% 5.39/4.89 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s123) | m_main_v_state(s124, c_ready) | (~node2(s123, s124)) | m_main_v_state(s124, c_busy))),
% 5.39/4.89 inference(quant_inst,[status(thm)],[])).
% 5.39/4.89 tff(31596,plain,
% 5.39/4.89 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s123, s124)) | m_main_v_state(s124, c_busy) | node1(s123) | m_main_v_state(s124, c_ready)),
% 5.39/4.89 inference(modus_ponens,[status(thm)],[31595, 31594])).
% 5.39/4.89 tff(31597,plain,
% 5.39/4.89 (m_main_v_state(s124, c_busy) | node1(s123) | m_main_v_state(s124, c_ready)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31596, 2250, 19249])).
% 5.39/4.89 tff(31598,plain,
% 5.39/4.89 (node1(s123)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31597, 31589, 31590])).
% 5.39/4.89 tff(31599,plain,
% 5.39/4.89 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s123, c_ready) | (~node1(s123)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s123, c_ready) | (~node1(s123)))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31600,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s123, c_ready) | (~node1(s123)))),
% 5.39/4.89 inference(quant_inst,[status(thm)],[])).
% 5.39/4.89 tff(31601,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s123, c_ready) | (~node1(s123))),
% 5.39/4.89 inference(modus_ponens,[status(thm)],[31600, 31599])).
% 5.39/4.89 tff(31602,plain,
% 5.39/4.89 (m_main_v_state(s123, c_ready)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31601, 2265, 31598])).
% 5.39/4.89 tff(31603,plain,
% 5.39/4.89 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s123) | (~node1(s123)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s123) | (~node1(s123)))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31604,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s123) | (~node1(s123)))),
% 5.39/4.89 inference(quant_inst,[status(thm)],[])).
% 5.39/4.89 tff(31605,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s123) | (~node1(s123))),
% 5.39/4.89 inference(modus_ponens,[status(thm)],[31604, 31603])).
% 5.39/4.89 tff(31606,plain,
% 5.39/4.89 (m_main_v_request(s123)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31605, 2276, 31598])).
% 5.39/4.89 tff(31607,plain,
% 5.39/4.89 ($false),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[19253, 31606, 31602, 31589])).
% 5.39/4.89 tff(31608,plain,(m_main_v_state(s124, c_busy) | m_main_v_state(s124, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.89 tff(31609,plain,
% 5.39/4.89 (m_main_v_state(s124, c_ready)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31608, 31588])).
% 5.39/4.89 tff(31610,plain,
% 5.39/4.89 (~m_main_v_request(s124)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[19232, 31609, 31561])).
% 5.39/4.89 tff(31611,plain,
% 5.39/4.89 (~node4(s124)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[19236, 63, 31610])).
% 5.39/4.89 tff(31612,plain,
% 5.39/4.89 (xuntil2p8(s124) | (~until2p7(s124))),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[9600, 8293, 31611])).
% 5.39/4.89 tff(31613,plain,
% 5.39/4.89 (~until2p7(s124)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31612, 31587])).
% 5.39/4.89 tff(31614,plain,
% 5.39/4.89 (~xuntil2p8(s123)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[9606, 31613])).
% 5.39/4.89 tff(31615,plain,
% 5.39/4.89 (~m_main_v_state(s123, c_busy)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[18651, 145, 30903])).
% 5.39/4.89 tff(31616,assumption,(~m_main_v_state(s123, c_busy)), introduced(assumption)).
% 5.39/4.89 tff(31617,assumption,(~m_main_v_state(s123, c_ready)), introduced(assumption)).
% 5.39/4.89 tff(31618,plain,
% 5.39/4.89 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s122, s123)) | m_main_v_state(s123, c_busy) | node1(s122) | m_main_v_state(s123, 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(s122, s123)) | m_main_v_state(s123, c_busy) | node1(s122) | m_main_v_state(s123, c_ready))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31619,plain,
% 5.39/4.89 ((node1(s122) | m_main_v_state(s123, c_ready) | (~node2(s122, s123)) | m_main_v_state(s123, c_busy)) <=> ((~node2(s122, s123)) | m_main_v_state(s123, c_busy) | node1(s122) | m_main_v_state(s123, c_ready))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31620,plain,
% 5.39/4.89 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s122) | m_main_v_state(s123, c_ready) | (~node2(s122, s123)) | m_main_v_state(s123, 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(s122, s123)) | m_main_v_state(s123, c_busy) | node1(s122) | m_main_v_state(s123, c_ready)))),
% 5.39/4.89 inference(monotonicity,[status(thm)],[31619])).
% 5.39/4.89 tff(31621,plain,
% 5.39/4.89 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s122) | m_main_v_state(s123, c_ready) | (~node2(s122, s123)) | m_main_v_state(s123, 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(s122, s123)) | m_main_v_state(s123, c_busy) | node1(s122) | m_main_v_state(s123, c_ready))),
% 5.39/4.89 inference(transitivity,[status(thm)],[31620, 31618])).
% 5.39/4.89 tff(31622,plain,
% 5.39/4.89 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s122) | m_main_v_state(s123, c_ready) | (~node2(s122, s123)) | m_main_v_state(s123, c_busy))),
% 5.39/4.89 inference(quant_inst,[status(thm)],[])).
% 5.39/4.89 tff(31623,plain,
% 5.39/4.89 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s122, s123)) | m_main_v_state(s123, c_busy) | node1(s122) | m_main_v_state(s123, c_ready)),
% 5.39/4.89 inference(modus_ponens,[status(thm)],[31622, 31621])).
% 5.39/4.89 tff(31624,plain,
% 5.39/4.89 (m_main_v_state(s123, c_busy) | node1(s122) | m_main_v_state(s123, c_ready)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31623, 2250, 18735])).
% 5.39/4.89 tff(31625,plain,
% 5.39/4.89 (node1(s122)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31624, 31616, 31617])).
% 5.39/4.89 tff(31626,plain,
% 5.39/4.89 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s122, c_ready) | (~node1(s122)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s122, c_ready) | (~node1(s122)))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31627,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s122, c_ready) | (~node1(s122)))),
% 5.39/4.89 inference(quant_inst,[status(thm)],[])).
% 5.39/4.89 tff(31628,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s122, c_ready) | (~node1(s122))),
% 5.39/4.89 inference(modus_ponens,[status(thm)],[31627, 31626])).
% 5.39/4.89 tff(31629,plain,
% 5.39/4.89 (m_main_v_state(s122, c_ready)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31628, 2265, 31625])).
% 5.39/4.89 tff(31630,plain,
% 5.39/4.89 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s122) | (~node1(s122)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s122) | (~node1(s122)))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31631,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s122) | (~node1(s122)))),
% 5.39/4.89 inference(quant_inst,[status(thm)],[])).
% 5.39/4.89 tff(31632,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s122) | (~node1(s122))),
% 5.39/4.89 inference(modus_ponens,[status(thm)],[31631, 31630])).
% 5.39/4.89 tff(31633,plain,
% 5.39/4.89 (m_main_v_request(s122)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31632, 2276, 31625])).
% 5.39/4.89 tff(31634,plain,
% 5.39/4.89 ($false),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[18739, 31633, 31629, 31616])).
% 5.39/4.89 tff(31635,plain,(m_main_v_state(s123, c_busy) | m_main_v_state(s123, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.89 tff(31636,plain,
% 5.39/4.89 (m_main_v_state(s123, c_ready)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31635, 31615])).
% 5.39/4.89 tff(31637,plain,
% 5.39/4.89 (~m_main_v_request(s123)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[19253, 31636, 31588])).
% 5.39/4.89 tff(31638,plain,
% 5.39/4.89 (~node4(s123)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[19244, 63, 31637])).
% 5.39/4.89 tff(31639,plain,
% 5.39/4.89 (xuntil2p8(s123) | (~until2p7(s123))),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[9612, 8293, 31638])).
% 5.39/4.89 tff(31640,plain,
% 5.39/4.89 (~until2p7(s123)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31639, 31614])).
% 5.39/4.89 tff(31641,plain,
% 5.39/4.89 (~xuntil2p8(s122)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[9618, 31640])).
% 5.39/4.89 tff(31642,plain,
% 5.39/4.89 (~m_main_v_state(s122, c_busy)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[18658, 145, 30902])).
% 5.39/4.89 tff(31643,assumption,(~m_main_v_state(s122, c_ready)), introduced(assumption)).
% 5.39/4.89 tff(31644,plain,
% 5.39/4.89 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s121, s122)) | m_main_v_state(s122, c_busy) | node1(s121) | m_main_v_state(s122, 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(s121, s122)) | m_main_v_state(s122, c_busy) | node1(s121) | m_main_v_state(s122, c_ready))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31645,plain,
% 5.39/4.89 ((node1(s121) | m_main_v_state(s122, c_ready) | (~node2(s121, s122)) | m_main_v_state(s122, c_busy)) <=> ((~node2(s121, s122)) | m_main_v_state(s122, c_busy) | node1(s121) | m_main_v_state(s122, c_ready))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31646,plain,
% 5.39/4.89 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s121) | m_main_v_state(s122, c_ready) | (~node2(s121, s122)) | m_main_v_state(s122, 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(s121, s122)) | m_main_v_state(s122, c_busy) | node1(s121) | m_main_v_state(s122, c_ready)))),
% 5.39/4.89 inference(monotonicity,[status(thm)],[31645])).
% 5.39/4.89 tff(31647,plain,
% 5.39/4.89 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s121) | m_main_v_state(s122, c_ready) | (~node2(s121, s122)) | m_main_v_state(s122, 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(s121, s122)) | m_main_v_state(s122, c_busy) | node1(s121) | m_main_v_state(s122, c_ready))),
% 5.39/4.89 inference(transitivity,[status(thm)],[31646, 31644])).
% 5.39/4.89 tff(31648,plain,
% 5.39/4.89 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s121) | m_main_v_state(s122, c_ready) | (~node2(s121, s122)) | m_main_v_state(s122, c_busy))),
% 5.39/4.89 inference(quant_inst,[status(thm)],[])).
% 5.39/4.89 tff(31649,plain,
% 5.39/4.89 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s121, s122)) | m_main_v_state(s122, c_busy) | node1(s121) | m_main_v_state(s122, c_ready)),
% 5.39/4.89 inference(modus_ponens,[status(thm)],[31648, 31647])).
% 5.39/4.89 tff(31650,plain,
% 5.39/4.89 (m_main_v_state(s122, c_busy) | node1(s121) | m_main_v_state(s122, c_ready)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31649, 2250, 18692])).
% 5.39/4.89 tff(31651,plain,
% 5.39/4.89 (node1(s121)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31650, 18684, 31643])).
% 5.39/4.89 tff(31652,plain,
% 5.39/4.89 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s121, c_ready) | (~node1(s121)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s121, c_ready) | (~node1(s121)))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31653,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s121, c_ready) | (~node1(s121)))),
% 5.39/4.89 inference(quant_inst,[status(thm)],[])).
% 5.39/4.89 tff(31654,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s121, c_ready) | (~node1(s121))),
% 5.39/4.89 inference(modus_ponens,[status(thm)],[31653, 31652])).
% 5.39/4.89 tff(31655,plain,
% 5.39/4.89 (m_main_v_state(s121, c_ready)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31654, 2265, 31651])).
% 5.39/4.89 tff(31656,plain,
% 5.39/4.89 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s121) | (~node1(s121)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s121) | (~node1(s121)))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31657,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s121) | (~node1(s121)))),
% 5.39/4.89 inference(quant_inst,[status(thm)],[])).
% 5.39/4.89 tff(31658,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s121) | (~node1(s121))),
% 5.39/4.89 inference(modus_ponens,[status(thm)],[31657, 31656])).
% 5.39/4.89 tff(31659,plain,
% 5.39/4.89 (m_main_v_request(s121)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31658, 2276, 31651])).
% 5.39/4.89 tff(31660,plain,
% 5.39/4.89 ($false),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[18696, 31659, 31655, 18684])).
% 5.39/4.89 tff(31661,plain,(m_main_v_state(s122, c_busy) | m_main_v_state(s122, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.89 tff(31662,plain,
% 5.39/4.89 (m_main_v_state(s122, c_ready)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31661, 31642])).
% 5.39/4.89 tff(31663,plain,
% 5.39/4.89 (~m_main_v_request(s122)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[18739, 31662, 31615])).
% 5.39/4.89 tff(31664,plain,
% 5.39/4.89 (~node4(s122)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[18730, 63, 31663])).
% 5.39/4.89 tff(31665,plain,
% 5.39/4.89 (xuntil2p8(s122) | (~until2p7(s122))),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[9624, 8293, 31664])).
% 5.39/4.89 tff(31666,plain,
% 5.39/4.89 (~until2p7(s122)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31665, 31641])).
% 5.39/4.89 tff(31667,plain,
% 5.39/4.89 (~xuntil2p8(s121)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[9630, 31666])).
% 5.39/4.89 tff(31668,plain,
% 5.39/4.89 (~m_main_v_state(s121, c_busy)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[18682, 145, 30901])).
% 5.39/4.89 tff(31669,assumption,(~m_main_v_state(s121, c_busy)), introduced(assumption)).
% 5.39/4.89 tff(31670,assumption,(~m_main_v_state(s121, c_ready)), introduced(assumption)).
% 5.39/4.89 tff(31671,plain,
% 5.39/4.89 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s120, s121)) | m_main_v_state(s121, c_busy) | node1(s120) | m_main_v_state(s121, 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(s120, s121)) | m_main_v_state(s121, c_busy) | node1(s120) | m_main_v_state(s121, c_ready))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31672,plain,
% 5.39/4.89 ((node1(s120) | m_main_v_state(s121, c_ready) | (~node2(s120, s121)) | m_main_v_state(s121, c_busy)) <=> ((~node2(s120, s121)) | m_main_v_state(s121, c_busy) | node1(s120) | m_main_v_state(s121, c_ready))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31673,plain,
% 5.39/4.89 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s120) | m_main_v_state(s121, c_ready) | (~node2(s120, s121)) | m_main_v_state(s121, 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(s120, s121)) | m_main_v_state(s121, c_busy) | node1(s120) | m_main_v_state(s121, c_ready)))),
% 5.39/4.89 inference(monotonicity,[status(thm)],[31672])).
% 5.39/4.89 tff(31674,plain,
% 5.39/4.89 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s120) | m_main_v_state(s121, c_ready) | (~node2(s120, s121)) | m_main_v_state(s121, 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(s120, s121)) | m_main_v_state(s121, c_busy) | node1(s120) | m_main_v_state(s121, c_ready))),
% 5.39/4.89 inference(transitivity,[status(thm)],[31673, 31671])).
% 5.39/4.89 tff(31675,plain,
% 5.39/4.89 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s120) | m_main_v_state(s121, c_ready) | (~node2(s120, s121)) | m_main_v_state(s121, c_busy))),
% 5.39/4.89 inference(quant_inst,[status(thm)],[])).
% 5.39/4.89 tff(31676,plain,
% 5.39/4.89 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s120, s121)) | m_main_v_state(s121, c_busy) | node1(s120) | m_main_v_state(s121, c_ready)),
% 5.39/4.89 inference(modus_ponens,[status(thm)],[31675, 31674])).
% 5.39/4.89 tff(31677,plain,
% 5.39/4.89 (m_main_v_state(s121, c_busy) | node1(s120) | m_main_v_state(s121, c_ready)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31676, 2250, 18712])).
% 5.39/4.89 tff(31678,plain,
% 5.39/4.89 (node1(s120)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31677, 31669, 31670])).
% 5.39/4.89 tff(31679,plain,
% 5.39/4.89 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s120, c_ready) | (~node1(s120)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s120, c_ready) | (~node1(s120)))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31680,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s120, c_ready) | (~node1(s120)))),
% 5.39/4.89 inference(quant_inst,[status(thm)],[])).
% 5.39/4.89 tff(31681,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s120, c_ready) | (~node1(s120))),
% 5.39/4.89 inference(modus_ponens,[status(thm)],[31680, 31679])).
% 5.39/4.89 tff(31682,plain,
% 5.39/4.89 (m_main_v_state(s120, c_ready)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31681, 2265, 31678])).
% 5.39/4.89 tff(31683,plain,
% 5.39/4.89 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s120) | (~node1(s120)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s120) | (~node1(s120)))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31684,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s120) | (~node1(s120)))),
% 5.39/4.89 inference(quant_inst,[status(thm)],[])).
% 5.39/4.89 tff(31685,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s120) | (~node1(s120))),
% 5.39/4.89 inference(modus_ponens,[status(thm)],[31684, 31683])).
% 5.39/4.89 tff(31686,plain,
% 5.39/4.89 (m_main_v_request(s120)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31685, 2276, 31678])).
% 5.39/4.89 tff(31687,plain,
% 5.39/4.89 ($false),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[18716, 31686, 31682, 31669])).
% 5.39/4.89 tff(31688,plain,(m_main_v_state(s121, c_busy) | m_main_v_state(s121, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.89 tff(31689,plain,
% 5.39/4.89 (m_main_v_state(s121, c_ready)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31688, 31668])).
% 5.39/4.89 tff(31690,plain,
% 5.39/4.89 (~m_main_v_request(s121)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[18696, 31689, 31642])).
% 5.39/4.89 tff(31691,plain,
% 5.39/4.89 (~node4(s121)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[18700, 63, 31690])).
% 5.39/4.89 tff(31692,plain,
% 5.39/4.89 (xuntil2p8(s121) | (~until2p7(s121))),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[9636, 8293, 31691])).
% 5.39/4.89 tff(31693,plain,
% 5.39/4.89 (~until2p7(s121)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31692, 31667])).
% 5.39/4.89 tff(31694,plain,
% 5.39/4.89 (~xuntil2p8(s120)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[9642, 31693])).
% 5.39/4.89 tff(31695,plain,
% 5.39/4.89 (~m_main_v_state(s120, c_busy)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[18560, 145, 30900])).
% 5.39/4.89 tff(31696,assumption,(~m_main_v_state(s120, c_busy)), introduced(assumption)).
% 5.39/4.89 tff(31697,assumption,(~m_main_v_state(s120, c_ready)), introduced(assumption)).
% 5.39/4.89 tff(31698,plain,
% 5.39/4.89 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s119, s120)) | m_main_v_state(s120, c_busy) | node1(s119) | m_main_v_state(s120, 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(s119, s120)) | m_main_v_state(s120, c_busy) | node1(s119) | m_main_v_state(s120, c_ready))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31699,plain,
% 5.39/4.89 ((node1(s119) | m_main_v_state(s120, c_ready) | (~node2(s119, s120)) | m_main_v_state(s120, c_busy)) <=> ((~node2(s119, s120)) | m_main_v_state(s120, c_busy) | node1(s119) | m_main_v_state(s120, c_ready))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31700,plain,
% 5.39/4.89 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s119) | m_main_v_state(s120, c_ready) | (~node2(s119, s120)) | m_main_v_state(s120, 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(s119, s120)) | m_main_v_state(s120, c_busy) | node1(s119) | m_main_v_state(s120, c_ready)))),
% 5.39/4.89 inference(monotonicity,[status(thm)],[31699])).
% 5.39/4.89 tff(31701,plain,
% 5.39/4.89 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s119) | m_main_v_state(s120, c_ready) | (~node2(s119, s120)) | m_main_v_state(s120, 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(s119, s120)) | m_main_v_state(s120, c_busy) | node1(s119) | m_main_v_state(s120, c_ready))),
% 5.39/4.89 inference(transitivity,[status(thm)],[31700, 31698])).
% 5.39/4.89 tff(31702,plain,
% 5.39/4.89 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s119) | m_main_v_state(s120, c_ready) | (~node2(s119, s120)) | m_main_v_state(s120, c_busy))),
% 5.39/4.89 inference(quant_inst,[status(thm)],[])).
% 5.39/4.89 tff(31703,plain,
% 5.39/4.89 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s119, s120)) | m_main_v_state(s120, c_busy) | node1(s119) | m_main_v_state(s120, c_ready)),
% 5.39/4.89 inference(modus_ponens,[status(thm)],[31702, 31701])).
% 5.39/4.89 tff(31704,plain,
% 5.39/4.89 (m_main_v_state(s120, c_busy) | node1(s119) | m_main_v_state(s120, c_ready)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31703, 2250, 18572])).
% 5.39/4.89 tff(31705,plain,
% 5.39/4.89 (node1(s119)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31704, 31696, 31697])).
% 5.39/4.89 tff(31706,plain,
% 5.39/4.89 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s119, c_ready) | (~node1(s119)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s119, c_ready) | (~node1(s119)))),
% 5.39/4.89 inference(rewrite,[status(thm)],[])).
% 5.39/4.89 tff(31707,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s119, c_ready) | (~node1(s119)))),
% 5.39/4.89 inference(quant_inst,[status(thm)],[])).
% 5.39/4.89 tff(31708,plain,
% 5.39/4.89 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s119, c_ready) | (~node1(s119))),
% 5.39/4.89 inference(modus_ponens,[status(thm)],[31707, 31706])).
% 5.39/4.89 tff(31709,plain,
% 5.39/4.89 (m_main_v_state(s119, c_ready)),
% 5.39/4.89 inference(unit_resolution,[status(thm)],[31708, 2265, 31705])).
% 5.39/4.89 tff(31710,plain,
% 5.39/4.89 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s119) | (~node1(s119)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s119) | (~node1(s119)))),
% 5.39/4.90 inference(rewrite,[status(thm)],[])).
% 5.39/4.90 tff(31711,plain,
% 5.39/4.90 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s119) | (~node1(s119)))),
% 5.39/4.90 inference(quant_inst,[status(thm)],[])).
% 5.39/4.90 tff(31712,plain,
% 5.39/4.90 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s119) | (~node1(s119))),
% 5.39/4.90 inference(modus_ponens,[status(thm)],[31711, 31710])).
% 5.39/4.90 tff(31713,plain,
% 5.39/4.90 (m_main_v_request(s119)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31712, 2276, 31705])).
% 5.39/4.90 tff(31714,plain,
% 5.39/4.90 ($false),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18576, 31713, 31709, 31696])).
% 5.39/4.90 tff(31715,plain,(m_main_v_state(s120, c_busy) | m_main_v_state(s120, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.90 tff(31716,plain,
% 5.39/4.90 (m_main_v_state(s120, c_ready)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31715, 31695])).
% 5.39/4.90 tff(31717,plain,
% 5.39/4.90 (~m_main_v_request(s120)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18716, 31716, 31668])).
% 5.39/4.90 tff(31718,plain,
% 5.39/4.90 (~node4(s120)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18707, 63, 31717])).
% 5.39/4.90 tff(31719,plain,
% 5.39/4.90 (xuntil2p8(s120) | (~until2p7(s120))),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[9648, 8293, 31718])).
% 5.39/4.90 tff(31720,plain,
% 5.39/4.90 (~until2p7(s120)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31719, 31694])).
% 5.39/4.90 tff(31721,plain,
% 5.39/4.90 (~xuntil2p8(s119)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[9654, 31720])).
% 5.39/4.90 tff(31722,plain,
% 5.39/4.90 (~m_main_v_state(s119, c_busy)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18481, 145, 30899])).
% 5.39/4.90 tff(31723,assumption,(~m_main_v_state(s119, c_ready)), introduced(assumption)).
% 5.39/4.90 tff(31724,plain,
% 5.39/4.90 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s118, s119)) | m_main_v_state(s119, c_busy) | node1(s118) | m_main_v_state(s119, 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(s118, s119)) | m_main_v_state(s119, c_busy) | node1(s118) | m_main_v_state(s119, c_ready))),
% 5.39/4.90 inference(rewrite,[status(thm)],[])).
% 5.39/4.90 tff(31725,plain,
% 5.39/4.90 ((node1(s118) | m_main_v_state(s119, c_ready) | (~node2(s118, s119)) | m_main_v_state(s119, c_busy)) <=> ((~node2(s118, s119)) | m_main_v_state(s119, c_busy) | node1(s118) | m_main_v_state(s119, c_ready))),
% 5.39/4.90 inference(rewrite,[status(thm)],[])).
% 5.39/4.90 tff(31726,plain,
% 5.39/4.90 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s118) | m_main_v_state(s119, c_ready) | (~node2(s118, s119)) | m_main_v_state(s119, 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(s118, s119)) | m_main_v_state(s119, c_busy) | node1(s118) | m_main_v_state(s119, c_ready)))),
% 5.39/4.90 inference(monotonicity,[status(thm)],[31725])).
% 5.39/4.90 tff(31727,plain,
% 5.39/4.90 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s118) | m_main_v_state(s119, c_ready) | (~node2(s118, s119)) | m_main_v_state(s119, 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(s118, s119)) | m_main_v_state(s119, c_busy) | node1(s118) | m_main_v_state(s119, c_ready))),
% 5.39/4.90 inference(transitivity,[status(thm)],[31726, 31724])).
% 5.39/4.90 tff(31728,plain,
% 5.39/4.90 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s118) | m_main_v_state(s119, c_ready) | (~node2(s118, s119)) | m_main_v_state(s119, c_busy))),
% 5.39/4.90 inference(quant_inst,[status(thm)],[])).
% 5.39/4.90 tff(31729,plain,
% 5.39/4.90 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s118, s119)) | m_main_v_state(s119, c_busy) | node1(s118) | m_main_v_state(s119, c_ready)),
% 5.39/4.90 inference(modus_ponens,[status(thm)],[31728, 31727])).
% 5.39/4.90 tff(31730,plain,
% 5.39/4.90 (m_main_v_state(s119, c_busy) | node1(s118) | m_main_v_state(s119, c_ready)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31729, 2250, 18492])).
% 5.39/4.90 tff(31731,plain,
% 5.39/4.90 (node1(s118)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31730, 18483, 31723])).
% 5.39/4.90 tff(31732,plain,
% 5.39/4.90 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s118, c_ready) | (~node1(s118)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s118, c_ready) | (~node1(s118)))),
% 5.39/4.90 inference(rewrite,[status(thm)],[])).
% 5.39/4.90 tff(31733,plain,
% 5.39/4.90 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s118, c_ready) | (~node1(s118)))),
% 5.39/4.90 inference(quant_inst,[status(thm)],[])).
% 5.39/4.90 tff(31734,plain,
% 5.39/4.90 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s118, c_ready) | (~node1(s118))),
% 5.39/4.90 inference(modus_ponens,[status(thm)],[31733, 31732])).
% 5.39/4.90 tff(31735,plain,
% 5.39/4.90 (m_main_v_state(s118, c_ready)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31734, 2265, 31731])).
% 5.39/4.90 tff(31736,plain,
% 5.39/4.90 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s118) | (~node1(s118)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s118) | (~node1(s118)))),
% 5.39/4.90 inference(rewrite,[status(thm)],[])).
% 5.39/4.90 tff(31737,plain,
% 5.39/4.90 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s118) | (~node1(s118)))),
% 5.39/4.90 inference(quant_inst,[status(thm)],[])).
% 5.39/4.90 tff(31738,plain,
% 5.39/4.90 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s118) | (~node1(s118))),
% 5.39/4.90 inference(modus_ponens,[status(thm)],[31737, 31736])).
% 5.39/4.90 tff(31739,plain,
% 5.39/4.90 (m_main_v_request(s118)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31738, 2276, 31731])).
% 5.39/4.90 tff(31740,plain,
% 5.39/4.90 ($false),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18496, 31739, 31735, 18483])).
% 5.39/4.90 tff(31741,plain,(m_main_v_state(s119, c_busy) | m_main_v_state(s119, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.90 tff(31742,plain,
% 5.39/4.90 (m_main_v_state(s119, c_ready)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31741, 31722])).
% 5.39/4.90 tff(31743,plain,
% 5.39/4.90 (~m_main_v_request(s119)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18576, 31742, 31695])).
% 5.39/4.90 tff(31744,plain,
% 5.39/4.90 (~node4(s119)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18567, 63, 31743])).
% 5.39/4.90 tff(31745,plain,
% 5.39/4.90 (xuntil2p8(s119) | (~until2p7(s119))),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[9660, 8293, 31744])).
% 5.39/4.90 tff(31746,plain,
% 5.39/4.90 (~until2p7(s119)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31745, 31721])).
% 5.39/4.90 tff(31747,plain,
% 5.39/4.90 (~xuntil2p8(s118)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[9666, 31746])).
% 5.39/4.90 tff(31748,plain,
% 5.39/4.90 (~node4(s118)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18504, 31722])).
% 5.39/4.90 tff(31749,plain,
% 5.39/4.90 (xuntil2p8(s118) | (~until2p7(s118))),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[9672, 8293, 31748])).
% 5.39/4.90 tff(31750,plain,
% 5.39/4.90 (~until2p7(s118)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31749, 31747])).
% 5.39/4.90 tff(31751,plain,
% 5.39/4.90 (~xuntil2p8(s117)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[9678, 31750])).
% 5.39/4.90 tff(31752,plain,
% 5.39/4.90 (~m_main_v_state(s118, c_busy)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18383, 145, 30898])).
% 5.39/4.90 tff(31753,plain,
% 5.39/4.90 (~m_main_v_state(s117, c_busy)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18375, 145, 30897])).
% 5.39/4.90 tff(31754,assumption,(~m_main_v_state(s117, c_busy)), introduced(assumption)).
% 5.39/4.90 tff(31755,assumption,(~m_main_v_state(s117, c_ready)), introduced(assumption)).
% 5.39/4.90 tff(31756,plain,
% 5.39/4.90 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s116, s117)) | m_main_v_state(s117, c_busy) | node1(s116) | m_main_v_state(s117, 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(s116, s117)) | m_main_v_state(s117, c_busy) | node1(s116) | m_main_v_state(s117, c_ready))),
% 5.39/4.90 inference(rewrite,[status(thm)],[])).
% 5.39/4.90 tff(31757,plain,
% 5.39/4.90 ((node1(s116) | m_main_v_state(s117, c_ready) | (~node2(s116, s117)) | m_main_v_state(s117, c_busy)) <=> ((~node2(s116, s117)) | m_main_v_state(s117, c_busy) | node1(s116) | m_main_v_state(s117, c_ready))),
% 5.39/4.90 inference(rewrite,[status(thm)],[])).
% 5.39/4.90 tff(31758,plain,
% 5.39/4.90 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s116) | m_main_v_state(s117, c_ready) | (~node2(s116, s117)) | m_main_v_state(s117, 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(s116, s117)) | m_main_v_state(s117, c_busy) | node1(s116) | m_main_v_state(s117, c_ready)))),
% 5.39/4.90 inference(monotonicity,[status(thm)],[31757])).
% 5.39/4.90 tff(31759,plain,
% 5.39/4.90 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s116) | m_main_v_state(s117, c_ready) | (~node2(s116, s117)) | m_main_v_state(s117, 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(s116, s117)) | m_main_v_state(s117, c_busy) | node1(s116) | m_main_v_state(s117, c_ready))),
% 5.39/4.90 inference(transitivity,[status(thm)],[31758, 31756])).
% 5.39/4.90 tff(31760,plain,
% 5.39/4.90 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s116) | m_main_v_state(s117, c_ready) | (~node2(s116, s117)) | m_main_v_state(s117, c_busy))),
% 5.39/4.90 inference(quant_inst,[status(thm)],[])).
% 5.39/4.90 tff(31761,plain,
% 5.39/4.90 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s116, s117)) | m_main_v_state(s117, c_busy) | node1(s116) | m_main_v_state(s117, c_ready)),
% 5.39/4.90 inference(modus_ponens,[status(thm)],[31760, 31759])).
% 5.39/4.90 tff(31762,plain,
% 5.39/4.90 (m_main_v_state(s117, c_busy) | node1(s116) | m_main_v_state(s117, c_ready)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31761, 2250, 18414])).
% 5.39/4.90 tff(31763,plain,
% 5.39/4.90 (node1(s116)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31762, 31754, 31755])).
% 5.39/4.90 tff(31764,plain,
% 5.39/4.90 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s116, c_ready) | (~node1(s116)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s116, c_ready) | (~node1(s116)))),
% 5.39/4.90 inference(rewrite,[status(thm)],[])).
% 5.39/4.90 tff(31765,plain,
% 5.39/4.90 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s116, c_ready) | (~node1(s116)))),
% 5.39/4.90 inference(quant_inst,[status(thm)],[])).
% 5.39/4.90 tff(31766,plain,
% 5.39/4.90 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s116, c_ready) | (~node1(s116))),
% 5.39/4.90 inference(modus_ponens,[status(thm)],[31765, 31764])).
% 5.39/4.90 tff(31767,plain,
% 5.39/4.90 (m_main_v_state(s116, c_ready)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31766, 2265, 31763])).
% 5.39/4.90 tff(31768,plain,
% 5.39/4.90 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s116) | (~node1(s116)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s116) | (~node1(s116)))),
% 5.39/4.90 inference(rewrite,[status(thm)],[])).
% 5.39/4.90 tff(31769,plain,
% 5.39/4.90 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s116) | (~node1(s116)))),
% 5.39/4.90 inference(quant_inst,[status(thm)],[])).
% 5.39/4.90 tff(31770,plain,
% 5.39/4.90 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s116) | (~node1(s116))),
% 5.39/4.90 inference(modus_ponens,[status(thm)],[31769, 31768])).
% 5.39/4.90 tff(31771,plain,
% 5.39/4.90 (m_main_v_request(s116)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31770, 2276, 31763])).
% 5.39/4.90 tff(31772,plain,
% 5.39/4.90 ($false),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18418, 31771, 31767, 31754])).
% 5.39/4.90 tff(31773,plain,(m_main_v_state(s117, c_busy) | m_main_v_state(s117, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.90 tff(31774,plain,
% 5.39/4.90 (m_main_v_state(s117, c_ready)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31773, 31753])).
% 5.39/4.90 tff(31775,plain,
% 5.39/4.90 (~m_main_v_request(s117)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18396, 31774, 31752])).
% 5.39/4.90 tff(31776,plain,
% 5.39/4.90 (~node4(s117)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18400, 63, 31775])).
% 5.39/4.90 tff(31777,plain,
% 5.39/4.90 (xuntil2p8(s117) | (~until2p7(s117))),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[9684, 8293, 31776])).
% 5.39/4.90 tff(31778,plain,
% 5.39/4.90 (~until2p7(s117)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31777, 31751])).
% 5.39/4.90 tff(31779,plain,
% 5.39/4.90 (~xuntil2p8(s116)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[9690, 31778])).
% 5.39/4.90 tff(31780,plain,
% 5.39/4.90 (~m_main_v_state(s116, c_busy)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18331, 145, 30896])).
% 5.39/4.90 tff(31781,assumption,(~m_main_v_state(s116, c_ready)), introduced(assumption)).
% 5.39/4.90 tff(31782,plain,
% 5.39/4.90 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s115, s116)) | m_main_v_state(s116, c_busy) | node1(s115) | m_main_v_state(s116, 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(s115, s116)) | m_main_v_state(s116, c_busy) | node1(s115) | m_main_v_state(s116, c_ready))),
% 5.39/4.90 inference(rewrite,[status(thm)],[])).
% 5.39/4.90 tff(31783,plain,
% 5.39/4.90 ((node1(s115) | m_main_v_state(s116, c_ready) | (~node2(s115, s116)) | m_main_v_state(s116, c_busy)) <=> ((~node2(s115, s116)) | m_main_v_state(s116, c_busy) | node1(s115) | m_main_v_state(s116, c_ready))),
% 5.39/4.90 inference(rewrite,[status(thm)],[])).
% 5.39/4.90 tff(31784,plain,
% 5.39/4.90 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s115) | m_main_v_state(s116, c_ready) | (~node2(s115, s116)) | m_main_v_state(s116, 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(s115, s116)) | m_main_v_state(s116, c_busy) | node1(s115) | m_main_v_state(s116, c_ready)))),
% 5.39/4.90 inference(monotonicity,[status(thm)],[31783])).
% 5.39/4.90 tff(31785,plain,
% 5.39/4.90 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s115) | m_main_v_state(s116, c_ready) | (~node2(s115, s116)) | m_main_v_state(s116, 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(s115, s116)) | m_main_v_state(s116, c_busy) | node1(s115) | m_main_v_state(s116, c_ready))),
% 5.39/4.90 inference(transitivity,[status(thm)],[31784, 31782])).
% 5.39/4.90 tff(31786,plain,
% 5.39/4.90 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s115) | m_main_v_state(s116, c_ready) | (~node2(s115, s116)) | m_main_v_state(s116, c_busy))),
% 5.39/4.90 inference(quant_inst,[status(thm)],[])).
% 5.39/4.90 tff(31787,plain,
% 5.39/4.90 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s115, s116)) | m_main_v_state(s116, c_busy) | node1(s115) | m_main_v_state(s116, c_ready)),
% 5.39/4.90 inference(modus_ponens,[status(thm)],[31786, 31785])).
% 5.39/4.90 tff(31788,plain,
% 5.39/4.90 (m_main_v_state(s116, c_busy) | node1(s115) | m_main_v_state(s116, c_ready)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31787, 2250, 18290])).
% 5.39/4.90 tff(31789,plain,
% 5.39/4.90 (node1(s115)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31788, 18282, 31781])).
% 5.39/4.90 tff(31790,plain,
% 5.39/4.90 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s115, c_ready) | (~node1(s115)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s115, c_ready) | (~node1(s115)))),
% 5.39/4.90 inference(rewrite,[status(thm)],[])).
% 5.39/4.90 tff(31791,plain,
% 5.39/4.90 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s115, c_ready) | (~node1(s115)))),
% 5.39/4.90 inference(quant_inst,[status(thm)],[])).
% 5.39/4.90 tff(31792,plain,
% 5.39/4.90 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s115, c_ready) | (~node1(s115))),
% 5.39/4.90 inference(modus_ponens,[status(thm)],[31791, 31790])).
% 5.39/4.90 tff(31793,plain,
% 5.39/4.90 (m_main_v_state(s115, c_ready)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31792, 2265, 31789])).
% 5.39/4.90 tff(31794,plain,
% 5.39/4.90 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s115) | (~node1(s115)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s115) | (~node1(s115)))),
% 5.39/4.90 inference(rewrite,[status(thm)],[])).
% 5.39/4.90 tff(31795,plain,
% 5.39/4.90 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s115) | (~node1(s115)))),
% 5.39/4.90 inference(quant_inst,[status(thm)],[])).
% 5.39/4.90 tff(31796,plain,
% 5.39/4.90 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s115) | (~node1(s115))),
% 5.39/4.90 inference(modus_ponens,[status(thm)],[31795, 31794])).
% 5.39/4.90 tff(31797,plain,
% 5.39/4.90 (m_main_v_request(s115)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31796, 2276, 31789])).
% 5.39/4.90 tff(31798,plain,
% 5.39/4.90 ($false),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18294, 31797, 31793, 18282])).
% 5.39/4.90 tff(31799,plain,(m_main_v_state(s116, c_busy) | m_main_v_state(s116, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.39/4.90 tff(31800,plain,
% 5.39/4.90 (m_main_v_state(s116, c_ready)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31799, 31780])).
% 5.39/4.90 tff(31801,plain,
% 5.39/4.90 (~m_main_v_request(s116)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18418, 31800, 31753])).
% 5.39/4.90 tff(31802,plain,
% 5.39/4.90 (~node4(s116)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18409, 63, 31801])).
% 5.39/4.90 tff(31803,plain,
% 5.39/4.90 (xuntil2p8(s116) | (~until2p7(s116))),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[9696, 8293, 31802])).
% 5.39/4.90 tff(31804,plain,
% 5.39/4.90 (~until2p7(s116)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31803, 31779])).
% 5.39/4.90 tff(31805,plain,
% 5.39/4.90 (~trans(s199, s116)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[12219, 31804, 11264])).
% 5.39/4.90 tff(31806,plain,
% 5.39/4.90 (~trans(s199, s161)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[27005, 31127, 11264])).
% 5.39/4.90 tff(31807,plain,
% 5.39/4.90 (~trans(s199, s122)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[29389, 31485, 11264, 31486])).
% 5.39/4.90 tff(31808,plain,
% 5.39/4.90 (~trans(s199, s99)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[24544, 24183])).
% 5.39/4.90 tff(31809,plain,
% 5.39/4.90 (~trans(s199, s81)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[24556, 31534])).
% 5.39/4.90 tff(31810,plain,
% 5.39/4.90 (~trans(s199, s135)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[28192, 31311, 11264])).
% 5.39/4.90 tff(31811,plain,
% 5.39/4.90 (~trans(s199, s137)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[28225, 31311, 11264])).
% 5.39/4.90 tff(31812,plain,
% 5.39/4.90 (~trans(s199, s80)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[24573, 31535])).
% 5.39/4.90 tff(31813,plain,
% 5.39/4.90 (~trans(s199, s86)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[24587, 31524])).
% 5.39/4.90 tff(31814,plain,
% 5.39/4.90 (~trans(s199, s131)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[29043, 31474, 11264, 31444])).
% 5.39/4.90 tff(31815,plain,
% 5.39/4.90 (~trans(s199, s125)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[29092, 31474, 11264, 31444])).
% 5.39/4.90 tff(31816,plain,
% 5.39/4.90 (~trans(s199, s160)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[27019, 31127, 11264])).
% 5.39/4.90 tff(31817,plain,
% 5.39/4.90 (~trans(s199, s151)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[27093, 31127, 11264])).
% 5.39/4.90 tff(31818,plain,
% 5.39/4.90 (~trans(s199, s129)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[29116, 31474, 11264, 31444])).
% 5.39/4.90 tff(31819,plain,
% 5.39/4.90 (~trans(s199, s121)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[29197, 31474, 11264, 31444])).
% 5.39/4.90 tff(31820,plain,
% 5.39/4.90 (~m_main_v_state(s115, c_busy)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18280, 145, 30895])).
% 5.39/4.90 tff(31821,plain,
% 5.39/4.90 (~xuntil2p8(s115)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[9702, 31804])).
% 5.39/4.90 tff(31822,plain,
% 5.39/4.90 (m_main_v_state(s115, c_ready)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18285, 188, 31820])).
% 5.39/4.90 tff(31823,plain,
% 5.39/4.90 (~m_main_v_request(s115)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18294, 31822, 31780])).
% 5.39/4.90 tff(31824,plain,
% 5.39/4.90 (~node4(s115)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18298, 63, 31823])).
% 5.39/4.90 tff(31825,plain,
% 5.39/4.90 (xuntil2p8(s115) | (~until2p7(s115))),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[9708, 8293, 31824])).
% 5.39/4.90 tff(31826,plain,
% 5.39/4.90 (~until2p7(s115)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31825, 31821])).
% 5.39/4.90 tff(31827,plain,
% 5.39/4.90 (~xuntil2p8(s114)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[9714, 31826])).
% 5.39/4.90 tff(31828,assumption,(~m_main_v_state(s115, c_busy)), introduced(assumption)).
% 5.39/4.90 tff(31829,plain,
% 5.39/4.90 (until2p7(s114)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[11691, 11683, 11264])).
% 5.39/4.90 tff(31830,assumption,(~xuntil2p8(s114)), introduced(assumption)).
% 5.39/4.90 tff(31831,plain,
% 5.39/4.90 (node4(s114) | (~until2p7(s114))),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[9720, 8293, 31830])).
% 5.39/4.90 tff(31832,plain,
% 5.39/4.90 (node4(s114)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31831, 31829])).
% 5.39/4.90 tff(31833,plain,
% 5.39/4.90 (m_main_v_request(s114)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18305, 63, 31832])).
% 5.39/4.90 tff(31834,plain,
% 5.39/4.90 (~m_main_v_state(s114, c_ready)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18314, 31833, 31828])).
% 5.39/4.90 tff(31835,plain,
% 5.39/4.90 (always3(s114)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[24772, 11683])).
% 5.39/4.90 tff(31836,plain,
% 5.39/4.90 (~m_main_v_state(s114, c_busy)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18176, 145, 31835])).
% 5.39/4.90 tff(31837,plain,
% 5.39/4.90 ($false),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[18320, 188, 31836, 31834])).
% 5.39/4.90 tff(31838,plain,((~trans(s199, s114)) | m_main_v_state(s115, c_busy) | xuntil2p8(s114) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.39/4.90 tff(31839,plain,
% 5.39/4.90 (~trans(s199, s114)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[31838, 31827, 11264, 31820])).
% 5.39/4.90 tff(31840,plain,
% 5.39/4.90 (~trans(s199, s127)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[29232, 31474, 11264, 31444])).
% 5.39/4.90 tff(31841,plain,
% 5.39/4.90 (~trans(s199, s101)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[24602, 24181])).
% 5.39/4.90 tff(31842,plain,
% 5.39/4.90 (~trans(s199, s83)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[24742, 31527])).
% 5.39/4.90 tff(31843,plain,
% 5.39/4.90 (~trans(s199, s136)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[28269, 31311, 11264])).
% 5.39/4.90 tff(31844,plain,
% 5.39/4.90 (~trans(s199, s124)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[29291, 31474, 11264, 31444])).
% 5.39/4.90 tff(31845,plain,
% 5.39/4.90 (~trans(s199, s139)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[11416, 31326, 11264])).
% 5.39/4.90 tff(31846,plain,
% 5.39/4.90 (~trans(s199, s145)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[27196, 31127, 11264])).
% 5.39/4.90 tff(31847,plain,
% 5.39/4.90 (~trans(s199, s164)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[26473, 31015, 11264, 31009])).
% 5.39/4.90 tff(31848,plain,
% 5.39/4.90 (~trans(s199, s91)),
% 5.39/4.90 inference(unit_resolution,[status(thm)],[24630, 31519])).
% 5.43/4.90 tff(31849,plain,
% 5.43/4.90 (always3(s113)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[24782, 12651])).
% 5.43/4.90 tff(31850,plain,
% 5.43/4.90 (always3(s114)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[5604, 31849])).
% 5.43/4.90 tff(31851,plain,
% 5.43/4.90 (~m_main_v_state(s114, c_busy)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[18176, 145, 31850])).
% 5.43/4.90 tff(31852,plain,
% 5.43/4.90 (~m_main_v_state(s113, c_busy)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[18192, 145, 31849])).
% 5.43/4.90 tff(31853,assumption,(node1(s112)), introduced(assumption)).
% 5.43/4.90 tff(31854,plain,
% 5.43/4.90 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s112, c_ready) | (~node1(s112)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s112, c_ready) | (~node1(s112)))),
% 5.43/4.90 inference(rewrite,[status(thm)],[])).
% 5.43/4.90 tff(31855,plain,
% 5.43/4.90 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s112, c_ready) | (~node1(s112)))),
% 5.43/4.90 inference(quant_inst,[status(thm)],[])).
% 5.43/4.90 tff(31856,plain,
% 5.43/4.90 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s112, c_ready) | (~node1(s112))),
% 5.43/4.90 inference(modus_ponens,[status(thm)],[31855, 31854])).
% 5.43/4.90 tff(31857,plain,
% 5.43/4.90 (m_main_v_state(s112, c_ready)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[31856, 2265, 31853])).
% 5.43/4.90 tff(31858,plain,
% 5.43/4.90 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s112) | (~node1(s112)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s112) | (~node1(s112)))),
% 5.43/4.90 inference(rewrite,[status(thm)],[])).
% 5.43/4.90 tff(31859,plain,
% 5.43/4.90 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s112) | (~node1(s112)))),
% 5.43/4.90 inference(quant_inst,[status(thm)],[])).
% 5.43/4.90 tff(31860,plain,
% 5.43/4.90 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s112) | (~node1(s112))),
% 5.43/4.90 inference(modus_ponens,[status(thm)],[31859, 31858])).
% 5.43/4.90 tff(31861,plain,
% 5.43/4.90 (m_main_v_request(s112)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[31860, 2276, 31853])).
% 5.43/4.90 tff(31862,plain,
% 5.43/4.90 ($false),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[18249, 31861, 31857, 18236])).
% 5.43/4.90 tff(31863,plain,((~node1(s112)) | m_main_v_state(s113, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.43/4.90 tff(31864,plain,
% 5.43/4.90 (~node1(s112)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[31863, 31852])).
% 5.43/4.90 tff(31865,plain,
% 5.43/4.90 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s112, s113)) | m_main_v_state(s113, c_busy) | node1(s112) | m_main_v_state(s113, 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(s112, s113)) | m_main_v_state(s113, c_busy) | node1(s112) | m_main_v_state(s113, c_ready))),
% 5.43/4.90 inference(rewrite,[status(thm)],[])).
% 5.43/4.90 tff(31866,plain,
% 5.43/4.90 ((node1(s112) | m_main_v_state(s113, c_ready) | (~node2(s112, s113)) | m_main_v_state(s113, c_busy)) <=> ((~node2(s112, s113)) | m_main_v_state(s113, c_busy) | node1(s112) | m_main_v_state(s113, c_ready))),
% 5.43/4.90 inference(rewrite,[status(thm)],[])).
% 5.43/4.90 tff(31867,plain,
% 5.43/4.90 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s112) | m_main_v_state(s113, c_ready) | (~node2(s112, s113)) | m_main_v_state(s113, 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(s112, s113)) | m_main_v_state(s113, c_busy) | node1(s112) | m_main_v_state(s113, c_ready)))),
% 5.43/4.90 inference(monotonicity,[status(thm)],[31866])).
% 5.43/4.90 tff(31868,plain,
% 5.43/4.90 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s112) | m_main_v_state(s113, c_ready) | (~node2(s112, s113)) | m_main_v_state(s113, 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(s112, s113)) | m_main_v_state(s113, c_busy) | node1(s112) | m_main_v_state(s113, c_ready))),
% 5.43/4.90 inference(transitivity,[status(thm)],[31867, 31865])).
% 5.43/4.90 tff(31869,plain,
% 5.43/4.90 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s112) | m_main_v_state(s113, c_ready) | (~node2(s112, s113)) | m_main_v_state(s113, c_busy))),
% 5.43/4.90 inference(quant_inst,[status(thm)],[])).
% 5.43/4.90 tff(31870,plain,
% 5.43/4.90 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s112, s113)) | m_main_v_state(s113, c_busy) | node1(s112) | m_main_v_state(s113, c_ready)),
% 5.43/4.90 inference(modus_ponens,[status(thm)],[31869, 31868])).
% 5.43/4.90 tff(31871,plain,
% 5.43/4.90 (m_main_v_state(s113, c_busy) | node1(s112) | m_main_v_state(s113, c_ready)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[31870, 2250, 18245])).
% 5.43/4.90 tff(31872,plain,
% 5.43/4.90 (m_main_v_state(s113, c_ready)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[31871, 31864, 31852])).
% 5.43/4.90 tff(31873,plain,
% 5.43/4.90 (~m_main_v_request(s113)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[18185, 31872, 31851])).
% 5.43/4.90 tff(31874,plain,
% 5.43/4.90 (~node4(s113)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[18153, 63, 31873])).
% 5.43/4.90 tff(31875,plain,
% 5.43/4.90 (until2p7(s113)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[12659, 12651, 11264])).
% 5.43/4.90 tff(31876,plain,
% 5.43/4.90 (node4(s113) | xuntil2p8(s113)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[9732, 8293, 31875])).
% 5.43/4.90 tff(31877,plain,
% 5.43/4.90 (xuntil2p8(s113)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[31876, 31874])).
% 5.43/4.90 tff(31878,plain,
% 5.43/4.90 (until2p7(s114)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[9726, 31877])).
% 5.43/4.90 tff(31879,plain,
% 5.43/4.90 (node4(s114)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[31831, 31878])).
% 5.43/4.90 tff(31880,plain,
% 5.43/4.90 (m_main_v_state(s114, c_ready)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[18320, 188, 31851])).
% 5.43/4.90 tff(31881,plain,
% 5.43/4.90 (~m_main_v_request(s114)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[18314, 31880, 31828])).
% 5.43/4.90 tff(31882,plain,
% 5.43/4.90 ($false),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[18305, 63, 31881, 31879])).
% 5.43/4.90 tff(31883,plain,((~trans(s199, s113)) | xuntil2p8(s114) | m_main_v_state(s115, c_busy) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.43/4.90 tff(31884,plain,
% 5.43/4.90 (~trans(s199, s113)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[31883, 31827, 11264, 31820])).
% 5.43/4.90 tff(31885,plain,
% 5.43/4.90 (~trans(s199, s115)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[12879, 31826, 11264])).
% 5.43/4.90 tff(31886,plain,
% 5.43/4.90 (~trans(s199, s89)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[24654, 31521])).
% 5.43/4.90 tff(31887,plain,
% 5.43/4.90 (~trans(s199, s152)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[27262, 31127, 11264])).
% 5.43/4.90 tff(31888,plain,
% 5.43/4.90 (~trans(s199, s138)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[28307, 31311, 11264])).
% 5.43/4.90 tff(31889,plain,
% 5.43/4.90 (~trans(s199, s141)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[13308, 31310, 11264])).
% 5.43/4.90 tff(31890,plain,
% 5.43/4.90 (~trans(s199, s92)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[24671, 31518])).
% 5.43/4.90 tff(31891,plain,
% 5.43/4.90 (always3(s78)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[24682, 13091])).
% 5.43/4.90 tff(31892,plain,
% 5.43/4.90 (always3(s79)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[6028, 31891])).
% 5.43/4.90 tff(31893,plain,
% 5.43/4.90 (always3(s80)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[6016, 31892])).
% 5.43/4.90 tff(31894,plain,
% 5.43/4.90 (always3(s81)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[6004, 31893])).
% 5.43/4.90 tff(31895,plain,
% 5.43/4.90 (always3(s82)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[5992, 31894])).
% 5.43/4.90 tff(31896,plain,
% 5.43/4.90 (always3(s83)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[5980, 31895])).
% 5.43/4.90 tff(31897,plain,
% 5.43/4.90 (always3(s84)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[5968, 31896])).
% 5.43/4.90 tff(31898,plain,
% 5.43/4.90 (~m_main_v_state(s84, c_busy)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[16469, 145, 31897])).
% 5.43/4.90 tff(31899,plain,
% 5.43/4.90 (~node4(s83)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[16502, 31898])).
% 5.43/4.90 tff(31900,plain,
% 5.43/4.90 (~m_main_v_state(s79, c_busy)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[16725, 145, 31892])).
% 5.43/4.90 tff(31901,plain,
% 5.43/4.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s78)) | node2(s199, s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s78)) | node2(s199, s78))),
% 5.43/4.90 inference(rewrite,[status(thm)],[])).
% 5.43/4.90 tff(31902,plain,
% 5.43/4.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s78)) | node2(s199, s78))),
% 5.43/4.90 inference(quant_inst,[status(thm)],[])).
% 5.43/4.90 tff(31903,plain,
% 5.43/4.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s78)) | node2(s199, s78)),
% 5.43/4.90 inference(modus_ponens,[status(thm)],[31902, 31901])).
% 5.43/4.90 tff(31904,plain,
% 5.43/4.90 (node2(s199, s78)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[31903, 13091, 7])).
% 5.43/4.90 tff(31905,plain,
% 5.43/4.90 (~m_main_v_state(s78, c_busy)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[16778, 145, 31891])).
% 5.43/4.90 tff(31906,plain,
% 5.43/4.90 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (m_main_v_state(s78, c_busy) | m_main_v_state(s78, c_ready) | node1(s199) | (~node2(s199, s78)))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s78, c_busy) | m_main_v_state(s78, c_ready) | node1(s199) | (~node2(s199, s78)))),
% 5.43/4.90 inference(rewrite,[status(thm)],[])).
% 5.43/4.90 tff(31907,plain,
% 5.43/4.90 ((node1(s199) | m_main_v_state(s78, c_ready) | (~node2(s199, s78)) | m_main_v_state(s78, c_busy)) <=> (m_main_v_state(s78, c_busy) | m_main_v_state(s78, c_ready) | node1(s199) | (~node2(s199, s78)))),
% 5.43/4.90 inference(rewrite,[status(thm)],[])).
% 5.43/4.90 tff(31908,plain,
% 5.43/4.90 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s199) | m_main_v_state(s78, c_ready) | (~node2(s199, s78)) | m_main_v_state(s78, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (m_main_v_state(s78, c_busy) | m_main_v_state(s78, c_ready) | node1(s199) | (~node2(s199, s78))))),
% 5.43/4.90 inference(monotonicity,[status(thm)],[31907])).
% 5.43/4.90 tff(31909,plain,
% 5.43/4.90 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s199) | m_main_v_state(s78, c_ready) | (~node2(s199, s78)) | m_main_v_state(s78, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s78, c_busy) | m_main_v_state(s78, c_ready) | node1(s199) | (~node2(s199, s78)))),
% 5.43/4.90 inference(transitivity,[status(thm)],[31908, 31906])).
% 5.43/4.90 tff(31910,plain,
% 5.43/4.90 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s199) | m_main_v_state(s78, c_ready) | (~node2(s199, s78)) | m_main_v_state(s78, c_busy))),
% 5.43/4.90 inference(quant_inst,[status(thm)],[])).
% 5.43/4.90 tff(31911,plain,
% 5.43/4.90 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s78, c_busy) | m_main_v_state(s78, c_ready) | node1(s199) | (~node2(s199, s78))),
% 5.43/4.90 inference(modus_ponens,[status(thm)],[31910, 31909])).
% 5.43/4.90 tff(31912,plain,
% 5.43/4.90 (m_main_v_state(s78, c_ready)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[31911, 2250, 31905, 24176, 31904])).
% 5.43/4.90 tff(31913,plain,
% 5.43/4.90 (~m_main_v_request(s78)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[16791, 31912, 31900])).
% 5.43/4.90 tff(31914,plain,
% 5.43/4.90 (~node4(s78)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[16795, 63, 31913])).
% 5.43/4.90 tff(31915,plain,
% 5.43/4.90 (until2p7(s78)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[13099, 13091, 11264])).
% 5.43/4.90 tff(31916,plain,
% 5.43/4.90 (node4(s78) | xuntil2p8(s78)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[10322, 8293, 31915])).
% 5.43/4.90 tff(31917,plain,
% 5.43/4.90 (xuntil2p8(s78)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[31916, 31914])).
% 5.43/4.90 tff(31918,plain,
% 5.43/4.90 (until2p7(s79)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[10316, 31917])).
% 5.43/4.90 tff(31919,plain,
% 5.43/4.90 (~m_main_v_state(s80, c_busy)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[16702, 145, 31893])).
% 5.43/4.90 tff(31920,plain,
% 5.43/4.90 (~node4(s79)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[16731, 31919])).
% 5.43/4.90 tff(31921,plain,
% 5.43/4.90 (xuntil2p8(s79) | (~until2p7(s79))),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[10310, 8293, 31920])).
% 5.43/4.90 tff(31922,plain,
% 5.43/4.90 (xuntil2p8(s79)),
% 5.43/4.90 inference(unit_resolution,[status(thm)],[31921, 31918])).
% 5.43/4.91 tff(31923,plain,
% 5.43/4.91 (until2p7(s80)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10304, 31922])).
% 5.43/4.91 tff(31924,plain,
% 5.43/4.91 (~m_main_v_state(s81, c_busy)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16651, 145, 31894])).
% 5.43/4.91 tff(31925,assumption,(~m_main_v_state(s80, c_ready)), introduced(assumption)).
% 5.43/4.91 tff(31926,plain,
% 5.43/4.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s79, s80)) | m_main_v_state(s80, c_busy) | node1(s79) | m_main_v_state(s80, 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(s79, s80)) | m_main_v_state(s80, c_busy) | node1(s79) | m_main_v_state(s80, c_ready))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(31927,plain,
% 5.43/4.91 ((node1(s79) | m_main_v_state(s80, c_ready) | (~node2(s79, s80)) | m_main_v_state(s80, c_busy)) <=> ((~node2(s79, s80)) | m_main_v_state(s80, c_busy) | node1(s79) | m_main_v_state(s80, c_ready))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(31928,plain,
% 5.43/4.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s79) | m_main_v_state(s80, c_ready) | (~node2(s79, s80)) | m_main_v_state(s80, 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(s79, s80)) | m_main_v_state(s80, c_busy) | node1(s79) | m_main_v_state(s80, c_ready)))),
% 5.43/4.91 inference(monotonicity,[status(thm)],[31927])).
% 5.43/4.91 tff(31929,plain,
% 5.43/4.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s79) | m_main_v_state(s80, c_ready) | (~node2(s79, s80)) | m_main_v_state(s80, 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(s79, s80)) | m_main_v_state(s80, c_busy) | node1(s79) | m_main_v_state(s80, c_ready))),
% 5.43/4.91 inference(transitivity,[status(thm)],[31928, 31926])).
% 5.43/4.91 tff(31930,plain,
% 5.43/4.91 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s79) | m_main_v_state(s80, c_ready) | (~node2(s79, s80)) | m_main_v_state(s80, c_busy))),
% 5.43/4.91 inference(quant_inst,[status(thm)],[])).
% 5.43/4.91 tff(31931,plain,
% 5.43/4.91 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s79, s80)) | m_main_v_state(s80, c_busy) | node1(s79) | m_main_v_state(s80, c_ready)),
% 5.43/4.91 inference(modus_ponens,[status(thm)],[31930, 31929])).
% 5.43/4.91 tff(31932,plain,
% 5.43/4.91 (m_main_v_state(s80, c_busy) | node1(s79) | m_main_v_state(s80, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[31931, 2250, 16713])).
% 5.43/4.91 tff(31933,plain,
% 5.43/4.91 (node1(s79)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[31932, 16704, 31925])).
% 5.43/4.91 tff(31934,plain,
% 5.43/4.91 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s79, c_ready) | (~node1(s79)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s79, c_ready) | (~node1(s79)))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(31935,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s79, c_ready) | (~node1(s79)))),
% 5.43/4.91 inference(quant_inst,[status(thm)],[])).
% 5.43/4.91 tff(31936,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s79, c_ready) | (~node1(s79))),
% 5.43/4.91 inference(modus_ponens,[status(thm)],[31935, 31934])).
% 5.43/4.91 tff(31937,plain,
% 5.43/4.91 (m_main_v_state(s79, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[31936, 2265, 31933])).
% 5.43/4.91 tff(31938,plain,
% 5.43/4.91 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s79) | (~node1(s79)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s79) | (~node1(s79)))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(31939,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s79) | (~node1(s79)))),
% 5.43/4.91 inference(quant_inst,[status(thm)],[])).
% 5.43/4.91 tff(31940,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s79) | (~node1(s79))),
% 5.43/4.91 inference(modus_ponens,[status(thm)],[31939, 31938])).
% 5.43/4.91 tff(31941,plain,
% 5.43/4.91 (m_main_v_request(s79)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[31940, 2276, 31933])).
% 5.43/4.91 tff(31942,plain,
% 5.43/4.91 ($false),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16717, 31941, 31937, 16704])).
% 5.43/4.91 tff(31943,plain,(m_main_v_state(s80, c_busy) | m_main_v_state(s80, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.43/4.91 tff(31944,plain,
% 5.43/4.91 (m_main_v_state(s80, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[31943, 31919])).
% 5.43/4.91 tff(31945,plain,
% 5.43/4.91 (~m_main_v_request(s80)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16744, 31944, 31924])).
% 5.43/4.91 tff(31946,plain,
% 5.43/4.91 (~node4(s80)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16748, 63, 31945])).
% 5.43/4.91 tff(31947,plain,
% 5.43/4.91 (xuntil2p8(s80) | (~until2p7(s80))),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10298, 8293, 31946])).
% 5.43/4.91 tff(31948,plain,
% 5.43/4.91 (xuntil2p8(s80)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[31947, 31923])).
% 5.43/4.91 tff(31949,plain,
% 5.43/4.91 (until2p7(s81)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10292, 31948])).
% 5.43/4.91 tff(31950,plain,
% 5.43/4.91 (~m_main_v_state(s82, c_busy)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16604, 145, 31895])).
% 5.43/4.91 tff(31951,assumption,(~m_main_v_state(s81, c_busy)), introduced(assumption)).
% 5.43/4.91 tff(31952,assumption,(~m_main_v_state(s81, c_ready)), introduced(assumption)).
% 5.43/4.91 tff(31953,plain,
% 5.43/4.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s80, s81)) | m_main_v_state(s81, c_busy) | node1(s80) | m_main_v_state(s81, 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(s80, s81)) | m_main_v_state(s81, c_busy) | node1(s80) | m_main_v_state(s81, c_ready))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(31954,plain,
% 5.43/4.91 ((node1(s80) | m_main_v_state(s81, c_ready) | (~node2(s80, s81)) | m_main_v_state(s81, c_busy)) <=> ((~node2(s80, s81)) | m_main_v_state(s81, c_busy) | node1(s80) | m_main_v_state(s81, c_ready))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(31955,plain,
% 5.43/4.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s80) | m_main_v_state(s81, c_ready) | (~node2(s80, s81)) | m_main_v_state(s81, 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(s80, s81)) | m_main_v_state(s81, c_busy) | node1(s80) | m_main_v_state(s81, c_ready)))),
% 5.43/4.91 inference(monotonicity,[status(thm)],[31954])).
% 5.43/4.91 tff(31956,plain,
% 5.43/4.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s80) | m_main_v_state(s81, c_ready) | (~node2(s80, s81)) | m_main_v_state(s81, 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(s80, s81)) | m_main_v_state(s81, c_busy) | node1(s80) | m_main_v_state(s81, c_ready))),
% 5.43/4.91 inference(transitivity,[status(thm)],[31955, 31953])).
% 5.43/4.91 tff(31957,plain,
% 5.43/4.91 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s80) | m_main_v_state(s81, c_ready) | (~node2(s80, s81)) | m_main_v_state(s81, c_busy))),
% 5.43/4.91 inference(quant_inst,[status(thm)],[])).
% 5.43/4.91 tff(31958,plain,
% 5.43/4.91 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s80, s81)) | m_main_v_state(s81, c_busy) | node1(s80) | m_main_v_state(s81, c_ready)),
% 5.43/4.91 inference(modus_ponens,[status(thm)],[31957, 31956])).
% 5.43/4.91 tff(31959,plain,
% 5.43/4.91 (m_main_v_state(s81, c_busy) | node1(s80) | m_main_v_state(s81, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[31958, 2250, 16740])).
% 5.43/4.91 tff(31960,plain,
% 5.43/4.91 (node1(s80)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[31959, 31951, 31952])).
% 5.43/4.91 tff(31961,plain,
% 5.43/4.91 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s80, c_ready) | (~node1(s80)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s80, c_ready) | (~node1(s80)))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(31962,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s80, c_ready) | (~node1(s80)))),
% 5.43/4.91 inference(quant_inst,[status(thm)],[])).
% 5.43/4.91 tff(31963,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s80, c_ready) | (~node1(s80))),
% 5.43/4.91 inference(modus_ponens,[status(thm)],[31962, 31961])).
% 5.43/4.91 tff(31964,plain,
% 5.43/4.91 (m_main_v_state(s80, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[31963, 2265, 31960])).
% 5.43/4.91 tff(31965,plain,
% 5.43/4.91 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s80) | (~node1(s80)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s80) | (~node1(s80)))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(31966,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s80) | (~node1(s80)))),
% 5.43/4.91 inference(quant_inst,[status(thm)],[])).
% 5.43/4.91 tff(31967,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s80) | (~node1(s80))),
% 5.43/4.91 inference(modus_ponens,[status(thm)],[31966, 31965])).
% 5.43/4.91 tff(31968,plain,
% 5.43/4.91 (m_main_v_request(s80)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[31967, 2276, 31960])).
% 5.43/4.91 tff(31969,plain,
% 5.43/4.91 ($false),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16744, 31968, 31964, 31951])).
% 5.43/4.91 tff(31970,plain,(m_main_v_state(s81, c_busy) | m_main_v_state(s81, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.43/4.91 tff(31971,plain,
% 5.43/4.91 (m_main_v_state(s81, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[31970, 31924])).
% 5.43/4.91 tff(31972,plain,
% 5.43/4.91 (~m_main_v_request(s81)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16664, 31971, 31950])).
% 5.43/4.91 tff(31973,plain,
% 5.43/4.91 (~node4(s81)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16668, 63, 31972])).
% 5.43/4.91 tff(31974,plain,
% 5.43/4.91 (xuntil2p8(s81) | (~until2p7(s81))),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10286, 8293, 31973])).
% 5.43/4.91 tff(31975,plain,
% 5.43/4.91 (xuntil2p8(s81)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[31974, 31949])).
% 5.43/4.91 tff(31976,plain,
% 5.43/4.91 (until2p7(s82)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10280, 31975])).
% 5.43/4.91 tff(31977,plain,
% 5.43/4.91 (~m_main_v_state(s83, c_busy)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16496, 145, 31896])).
% 5.43/4.91 tff(31978,assumption,(node1(s81)), introduced(assumption)).
% 5.43/4.91 tff(31979,plain,
% 5.43/4.91 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s81, c_ready) | (~node1(s81)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s81, c_ready) | (~node1(s81)))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(31980,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s81, c_ready) | (~node1(s81)))),
% 5.43/4.91 inference(quant_inst,[status(thm)],[])).
% 5.43/4.91 tff(31981,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s81, c_ready) | (~node1(s81))),
% 5.43/4.91 inference(modus_ponens,[status(thm)],[31980, 31979])).
% 5.43/4.91 tff(31982,plain,
% 5.43/4.91 (m_main_v_state(s81, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[31981, 2265, 31978])).
% 5.43/4.91 tff(31983,plain,
% 5.43/4.91 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s81) | (~node1(s81)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s81) | (~node1(s81)))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(31984,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s81) | (~node1(s81)))),
% 5.43/4.91 inference(quant_inst,[status(thm)],[])).
% 5.43/4.91 tff(31985,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s81) | (~node1(s81))),
% 5.43/4.91 inference(modus_ponens,[status(thm)],[31984, 31983])).
% 5.43/4.91 tff(31986,plain,
% 5.43/4.91 (m_main_v_request(s81)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[31985, 2276, 31978])).
% 5.43/4.91 tff(31987,plain,
% 5.43/4.91 ($false),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16664, 31986, 31982, 16614])).
% 5.43/4.91 tff(31988,plain,((~node1(s81)) | m_main_v_state(s82, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.43/4.91 tff(31989,plain,
% 5.43/4.91 (~node1(s81)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[31988, 31950])).
% 5.43/4.91 tff(31990,plain,
% 5.43/4.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s81, s82)) | m_main_v_state(s82, c_busy) | node1(s81) | m_main_v_state(s82, 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(s81, s82)) | m_main_v_state(s82, c_busy) | node1(s81) | m_main_v_state(s82, c_ready))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(31991,plain,
% 5.43/4.91 ((node1(s81) | m_main_v_state(s82, c_ready) | (~node2(s81, s82)) | m_main_v_state(s82, c_busy)) <=> ((~node2(s81, s82)) | m_main_v_state(s82, c_busy) | node1(s81) | m_main_v_state(s82, c_ready))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(31992,plain,
% 5.43/4.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s81) | m_main_v_state(s82, c_ready) | (~node2(s81, s82)) | m_main_v_state(s82, 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(s81, s82)) | m_main_v_state(s82, c_busy) | node1(s81) | m_main_v_state(s82, c_ready)))),
% 5.43/4.91 inference(monotonicity,[status(thm)],[31991])).
% 5.43/4.91 tff(31993,plain,
% 5.43/4.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s81) | m_main_v_state(s82, c_ready) | (~node2(s81, s82)) | m_main_v_state(s82, 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(s81, s82)) | m_main_v_state(s82, c_busy) | node1(s81) | m_main_v_state(s82, c_ready))),
% 5.43/4.91 inference(transitivity,[status(thm)],[31992, 31990])).
% 5.43/4.91 tff(31994,plain,
% 5.43/4.91 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s81) | m_main_v_state(s82, c_ready) | (~node2(s81, s82)) | m_main_v_state(s82, c_busy))),
% 5.43/4.91 inference(quant_inst,[status(thm)],[])).
% 5.43/4.91 tff(31995,plain,
% 5.43/4.91 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s81, s82)) | m_main_v_state(s82, c_busy) | node1(s81) | m_main_v_state(s82, c_ready)),
% 5.43/4.91 inference(modus_ponens,[status(thm)],[31994, 31993])).
% 5.43/4.91 tff(31996,plain,
% 5.43/4.91 (m_main_v_state(s82, c_busy) | node1(s81) | m_main_v_state(s82, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[31995, 2250, 16660])).
% 5.43/4.91 tff(31997,plain,
% 5.43/4.91 (m_main_v_state(s82, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[31996, 31989, 31950])).
% 5.43/4.91 tff(31998,plain,
% 5.43/4.91 (~m_main_v_request(s82)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16597, 31997, 31977])).
% 5.43/4.91 tff(31999,plain,
% 5.43/4.91 (~node4(s82)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16588, 63, 31998])).
% 5.43/4.91 tff(32000,plain,
% 5.43/4.91 (xuntil2p8(s82) | (~until2p7(s82))),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10274, 8293, 31999])).
% 5.43/4.91 tff(32001,plain,
% 5.43/4.91 (xuntil2p8(s82)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32000, 31976])).
% 5.43/4.91 tff(32002,plain,
% 5.43/4.91 (until2p7(s83)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10268, 32001])).
% 5.43/4.91 tff(32003,plain,
% 5.43/4.91 (xuntil2p8(s83)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10262, 8293, 32002, 31899])).
% 5.43/4.91 tff(32004,plain,
% 5.43/4.91 (until2p7(s84)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10256, 32003])).
% 5.43/4.91 tff(32005,plain,
% 5.43/4.91 (always3(s85)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[5956, 31897])).
% 5.43/4.91 tff(32006,plain,
% 5.43/4.91 (~m_main_v_state(s85, c_busy)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10228, 145, 32005])).
% 5.43/4.91 tff(32007,plain,
% 5.43/4.91 (m_main_v_state(s84, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16473, 188, 31898])).
% 5.43/4.91 tff(32008,plain,
% 5.43/4.91 (~m_main_v_request(s84)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16879, 32007, 32006])).
% 5.43/4.91 tff(32009,plain,
% 5.43/4.91 (~node4(s84)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16870, 63, 32008])).
% 5.43/4.91 tff(32010,plain,
% 5.43/4.91 (xuntil2p8(s84) | (~until2p7(s84))),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10250, 8293, 32009])).
% 5.43/4.91 tff(32011,plain,
% 5.43/4.91 (xuntil2p8(s84)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32010, 32004])).
% 5.43/4.91 tff(32012,plain,
% 5.43/4.91 (until2p7(s85)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10243, 32011])).
% 5.43/4.91 tff(32013,plain,
% 5.43/4.91 (xuntil2p8(s85)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10238, 32012])).
% 5.43/4.91 tff(32014,plain,
% 5.43/4.91 (until2p7(s86)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10198, 32013])).
% 5.43/4.91 tff(32015,plain,
% 5.43/4.91 (always3(s86)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[5944, 32005])).
% 5.43/4.91 tff(32016,plain,
% 5.43/4.91 (always3(s87)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[5932, 32015])).
% 5.43/4.91 tff(32017,plain,
% 5.43/4.91 (~m_main_v_state(s87, c_busy)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16890, 145, 32016])).
% 5.43/4.91 tff(32018,plain,
% 5.43/4.91 (~m_main_v_state(s86, c_busy)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10212, 145, 32015])).
% 5.43/4.91 tff(32019,assumption,(~m_main_v_state(s86, c_busy)), introduced(assumption)).
% 5.43/4.91 tff(32020,assumption,(node1(s85)), introduced(assumption)).
% 5.43/4.91 tff(32021,plain,
% 5.43/4.91 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s85, c_ready) | (~node1(s85)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s85, c_ready) | (~node1(s85)))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(32022,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s85, c_ready) | (~node1(s85)))),
% 5.43/4.91 inference(quant_inst,[status(thm)],[])).
% 5.43/4.91 tff(32023,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s85, c_ready) | (~node1(s85))),
% 5.43/4.91 inference(modus_ponens,[status(thm)],[32022, 32021])).
% 5.43/4.91 tff(32024,plain,
% 5.43/4.91 (m_main_v_state(s85, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32023, 2265, 32020])).
% 5.43/4.91 tff(32025,plain,
% 5.43/4.91 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s85) | (~node1(s85)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s85) | (~node1(s85)))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(32026,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s85) | (~node1(s85)))),
% 5.43/4.91 inference(quant_inst,[status(thm)],[])).
% 5.43/4.91 tff(32027,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s85) | (~node1(s85))),
% 5.43/4.91 inference(modus_ponens,[status(thm)],[32026, 32025])).
% 5.43/4.91 tff(32028,plain,
% 5.43/4.91 (m_main_v_request(s85)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32027, 2276, 32020])).
% 5.43/4.91 tff(32029,plain,
% 5.43/4.91 ($false),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10221, 32028, 32024, 32019])).
% 5.43/4.91 tff(32030,plain,((~node1(s85)) | m_main_v_state(s86, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.43/4.91 tff(32031,plain,
% 5.43/4.91 (~node1(s85)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32030, 32018])).
% 5.43/4.91 tff(32032,plain,
% 5.43/4.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s85, s86)) | m_main_v_state(s86, c_busy) | node1(s85) | m_main_v_state(s86, c_ready))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy) | node1(s85) | m_main_v_state(s86, c_ready))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(32033,plain,
% 5.43/4.91 ((node1(s85) | m_main_v_state(s86, c_ready) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy)) <=> ((~node2(s85, s86)) | m_main_v_state(s86, c_busy) | node1(s85) | m_main_v_state(s86, c_ready))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(32034,plain,
% 5.43/4.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s85) | m_main_v_state(s86, c_ready) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s85, s86)) | m_main_v_state(s86, c_busy) | node1(s85) | m_main_v_state(s86, c_ready)))),
% 5.43/4.91 inference(monotonicity,[status(thm)],[32033])).
% 5.43/4.91 tff(32035,plain,
% 5.43/4.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s85) | m_main_v_state(s86, c_ready) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy) | node1(s85) | m_main_v_state(s86, c_ready))),
% 5.43/4.91 inference(transitivity,[status(thm)],[32034, 32032])).
% 5.43/4.91 tff(32036,plain,
% 5.43/4.91 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s85) | m_main_v_state(s86, c_ready) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy))),
% 5.43/4.91 inference(quant_inst,[status(thm)],[])).
% 5.43/4.91 tff(32037,plain,
% 5.43/4.91 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy) | node1(s85) | m_main_v_state(s86, c_ready)),
% 5.43/4.91 inference(modus_ponens,[status(thm)],[32036, 32035])).
% 5.43/4.91 tff(32038,plain,
% 5.43/4.91 (m_main_v_state(s86, c_busy) | node1(s85) | m_main_v_state(s86, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32037, 2250, 10217])).
% 5.43/4.91 tff(32039,plain,
% 5.43/4.91 (m_main_v_state(s86, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32038, 32031, 32018])).
% 5.43/4.91 tff(32040,plain,
% 5.43/4.91 (~m_main_v_request(s86)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16940, 32039, 32017])).
% 5.43/4.91 tff(32041,plain,
% 5.43/4.91 (~node4(s86)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16931, 63, 32040])).
% 5.43/4.91 tff(32042,plain,
% 5.43/4.91 (xuntil2p8(s86) | (~until2p7(s86))),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10192, 8293, 32041])).
% 5.43/4.91 tff(32043,plain,
% 5.43/4.91 (xuntil2p8(s86)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32042, 32014])).
% 5.43/4.91 tff(32044,plain,
% 5.43/4.91 (until2p7(s87)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10186, 32043])).
% 5.43/4.91 tff(32045,plain,
% 5.43/4.91 (always3(s88)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[5920, 32016])).
% 5.43/4.91 tff(32046,plain,
% 5.43/4.91 (~m_main_v_state(s88, c_busy)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16899, 145, 32045])).
% 5.43/4.91 tff(32047,assumption,(~m_main_v_state(s87, c_busy)), introduced(assumption)).
% 5.43/4.91 tff(32048,assumption,(~m_main_v_state(s87, c_ready)), introduced(assumption)).
% 5.43/4.91 tff(32049,plain,
% 5.43/4.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s86, s87)) | m_main_v_state(s87, c_busy) | node1(s86) | m_main_v_state(s87, 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(s86, s87)) | m_main_v_state(s87, c_busy) | node1(s86) | m_main_v_state(s87, c_ready))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(32050,plain,
% 5.43/4.91 ((node1(s86) | m_main_v_state(s87, c_ready) | (~node2(s86, s87)) | m_main_v_state(s87, c_busy)) <=> ((~node2(s86, s87)) | m_main_v_state(s87, c_busy) | node1(s86) | m_main_v_state(s87, c_ready))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(32051,plain,
% 5.43/4.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s86) | m_main_v_state(s87, c_ready) | (~node2(s86, s87)) | m_main_v_state(s87, 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(s86, s87)) | m_main_v_state(s87, c_busy) | node1(s86) | m_main_v_state(s87, c_ready)))),
% 5.43/4.91 inference(monotonicity,[status(thm)],[32050])).
% 5.43/4.91 tff(32052,plain,
% 5.43/4.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s86) | m_main_v_state(s87, c_ready) | (~node2(s86, s87)) | m_main_v_state(s87, 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(s86, s87)) | m_main_v_state(s87, c_busy) | node1(s86) | m_main_v_state(s87, c_ready))),
% 5.43/4.91 inference(transitivity,[status(thm)],[32051, 32049])).
% 5.43/4.91 tff(32053,plain,
% 5.43/4.91 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s86) | m_main_v_state(s87, c_ready) | (~node2(s86, s87)) | m_main_v_state(s87, c_busy))),
% 5.43/4.91 inference(quant_inst,[status(thm)],[])).
% 5.43/4.91 tff(32054,plain,
% 5.43/4.91 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s86, s87)) | m_main_v_state(s87, c_busy) | node1(s86) | m_main_v_state(s87, c_ready)),
% 5.43/4.91 inference(modus_ponens,[status(thm)],[32053, 32052])).
% 5.43/4.91 tff(32055,plain,
% 5.43/4.91 (m_main_v_state(s87, c_busy) | node1(s86) | m_main_v_state(s87, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32054, 2250, 16936])).
% 5.43/4.91 tff(32056,plain,
% 5.43/4.91 (node1(s86)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32055, 32047, 32048])).
% 5.43/4.91 tff(32057,plain,
% 5.43/4.91 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s86, c_ready) | (~node1(s86)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s86, c_ready) | (~node1(s86)))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(32058,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s86, c_ready) | (~node1(s86)))),
% 5.43/4.91 inference(quant_inst,[status(thm)],[])).
% 5.43/4.91 tff(32059,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s86, c_ready) | (~node1(s86))),
% 5.43/4.91 inference(modus_ponens,[status(thm)],[32058, 32057])).
% 5.43/4.91 tff(32060,plain,
% 5.43/4.91 (m_main_v_state(s86, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32059, 2265, 32056])).
% 5.43/4.91 tff(32061,plain,
% 5.43/4.91 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s86) | (~node1(s86)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s86) | (~node1(s86)))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(32062,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s86) | (~node1(s86)))),
% 5.43/4.91 inference(quant_inst,[status(thm)],[])).
% 5.43/4.91 tff(32063,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s86) | (~node1(s86))),
% 5.43/4.91 inference(modus_ponens,[status(thm)],[32062, 32061])).
% 5.43/4.91 tff(32064,plain,
% 5.43/4.91 (m_main_v_request(s86)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32063, 2276, 32056])).
% 5.43/4.91 tff(32065,plain,
% 5.43/4.91 ($false),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16940, 32064, 32060, 32047])).
% 5.43/4.91 tff(32066,plain,(m_main_v_state(s87, c_busy) | m_main_v_state(s87, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.43/4.91 tff(32067,plain,
% 5.43/4.91 (m_main_v_state(s87, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32066, 32017])).
% 5.43/4.91 tff(32068,plain,
% 5.43/4.91 (~m_main_v_request(s87)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16915, 32067, 32046])).
% 5.43/4.91 tff(32069,plain,
% 5.43/4.91 (~node4(s87)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16906, 63, 32068])).
% 5.43/4.91 tff(32070,plain,
% 5.43/4.91 (xuntil2p8(s87) | (~until2p7(s87))),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10180, 8293, 32069])).
% 5.43/4.91 tff(32071,plain,
% 5.43/4.91 (xuntil2p8(s87)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32070, 32044])).
% 5.43/4.91 tff(32072,plain,
% 5.43/4.91 (until2p7(s88)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10174, 32071])).
% 5.43/4.91 tff(32073,plain,
% 5.43/4.91 (always3(s89)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[5908, 32045])).
% 5.43/4.91 tff(32074,plain,
% 5.43/4.91 (~m_main_v_state(s89, c_busy)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16411, 145, 32073])).
% 5.43/4.91 tff(32075,plain,
% 5.43/4.91 (m_main_v_state(s88, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16969, 188, 32046])).
% 5.43/4.91 tff(32076,plain,
% 5.43/4.91 (~m_main_v_request(s88)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16964, 32075, 32074])).
% 5.43/4.91 tff(32077,plain,
% 5.43/4.91 (~node4(s88)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16955, 63, 32076])).
% 5.43/4.91 tff(32078,plain,
% 5.43/4.91 (xuntil2p8(s88) | (~until2p7(s88))),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10168, 8293, 32077])).
% 5.43/4.91 tff(32079,plain,
% 5.43/4.91 (xuntil2p8(s88)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32078, 32072])).
% 5.43/4.91 tff(32080,plain,
% 5.43/4.91 (until2p7(s89)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[10162, 32079])).
% 5.43/4.91 tff(32081,plain,
% 5.43/4.91 (always3(s90)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[5896, 32073])).
% 5.43/4.91 tff(32082,plain,
% 5.43/4.91 (~m_main_v_state(s90, c_busy)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[16992, 145, 32081])).
% 5.43/4.91 tff(32083,assumption,(~m_main_v_state(s89, c_busy)), introduced(assumption)).
% 5.43/4.91 tff(32084,assumption,(~m_main_v_state(s89, c_ready)), introduced(assumption)).
% 5.43/4.91 tff(32085,plain,
% 5.43/4.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s88, s89)) | m_main_v_state(s89, c_busy) | node1(s88) | m_main_v_state(s89, c_ready))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy) | node1(s88) | m_main_v_state(s89, c_ready))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(32086,plain,
% 5.43/4.91 ((node1(s88) | m_main_v_state(s89, c_ready) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy)) <=> ((~node2(s88, s89)) | m_main_v_state(s89, c_busy) | node1(s88) | m_main_v_state(s89, c_ready))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(32087,plain,
% 5.43/4.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s88) | m_main_v_state(s89, c_ready) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s88, s89)) | m_main_v_state(s89, c_busy) | node1(s88) | m_main_v_state(s89, c_ready)))),
% 5.43/4.91 inference(monotonicity,[status(thm)],[32086])).
% 5.43/4.91 tff(32088,plain,
% 5.43/4.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s88) | m_main_v_state(s89, c_ready) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy) | node1(s88) | m_main_v_state(s89, c_ready))),
% 5.43/4.91 inference(transitivity,[status(thm)],[32087, 32085])).
% 5.43/4.91 tff(32089,plain,
% 5.43/4.91 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s88) | m_main_v_state(s89, c_ready) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy))),
% 5.43/4.91 inference(quant_inst,[status(thm)],[])).
% 5.43/4.91 tff(32090,plain,
% 5.43/4.91 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy) | node1(s88) | m_main_v_state(s89, c_ready)),
% 5.43/4.91 inference(modus_ponens,[status(thm)],[32089, 32088])).
% 5.43/4.91 tff(32091,plain,
% 5.43/4.91 (m_main_v_state(s89, c_busy) | node1(s88) | m_main_v_state(s89, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32090, 2250, 16960])).
% 5.43/4.91 tff(32092,plain,
% 5.43/4.91 (node1(s88)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32091, 32083, 32084])).
% 5.43/4.91 tff(32093,plain,
% 5.43/4.91 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s88, c_ready) | (~node1(s88)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s88, c_ready) | (~node1(s88)))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(32094,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s88, c_ready) | (~node1(s88)))),
% 5.43/4.91 inference(quant_inst,[status(thm)],[])).
% 5.43/4.91 tff(32095,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s88, c_ready) | (~node1(s88))),
% 5.43/4.91 inference(modus_ponens,[status(thm)],[32094, 32093])).
% 5.43/4.91 tff(32096,plain,
% 5.43/4.91 (m_main_v_state(s88, c_ready)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32095, 2265, 32092])).
% 5.43/4.91 tff(32097,plain,
% 5.43/4.91 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s88) | (~node1(s88)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s88) | (~node1(s88)))),
% 5.43/4.91 inference(rewrite,[status(thm)],[])).
% 5.43/4.91 tff(32098,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s88) | (~node1(s88)))),
% 5.43/4.91 inference(quant_inst,[status(thm)],[])).
% 5.43/4.91 tff(32099,plain,
% 5.43/4.91 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s88) | (~node1(s88))),
% 5.43/4.91 inference(modus_ponens,[status(thm)],[32098, 32097])).
% 5.43/4.91 tff(32100,plain,
% 5.43/4.91 (m_main_v_request(s88)),
% 5.43/4.91 inference(unit_resolution,[status(thm)],[32099, 2276, 32092])).
% 5.43/4.92 tff(32101,plain,
% 5.43/4.92 ($false),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[16964, 32100, 32096, 32083])).
% 5.43/4.92 tff(32102,plain,(m_main_v_state(s89, c_busy) | m_main_v_state(s89, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.43/4.92 tff(32103,plain,
% 5.43/4.92 (m_main_v_state(s89, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32102, 32074])).
% 5.43/4.92 tff(32104,plain,
% 5.43/4.92 (~m_main_v_request(s89)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17033, 32103, 32082])).
% 5.43/4.92 tff(32105,plain,
% 5.43/4.92 (~node4(s89)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17024, 63, 32104])).
% 5.43/4.92 tff(32106,plain,
% 5.43/4.92 (xuntil2p8(s89) | (~until2p7(s89))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10156, 8293, 32105])).
% 5.43/4.92 tff(32107,plain,
% 5.43/4.92 (xuntil2p8(s89)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32106, 32080])).
% 5.43/4.92 tff(32108,plain,
% 5.43/4.92 (until2p7(s90)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10150, 32107])).
% 5.43/4.92 tff(32109,plain,
% 5.43/4.92 (always3(s91)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5884, 32081])).
% 5.43/4.92 tff(32110,plain,
% 5.43/4.92 (~m_main_v_state(s91, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17000, 145, 32109])).
% 5.43/4.92 tff(32111,plain,
% 5.43/4.92 (m_main_v_state(s90, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17004, 188, 32082])).
% 5.43/4.92 tff(32112,plain,
% 5.43/4.92 (~m_main_v_request(s90)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17013, 32111, 32110])).
% 5.43/4.92 tff(32113,plain,
% 5.43/4.92 (~node4(s90)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17017, 63, 32112])).
% 5.43/4.92 tff(32114,plain,
% 5.43/4.92 (xuntil2p8(s90) | (~until2p7(s90))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10144, 8293, 32113])).
% 5.43/4.92 tff(32115,plain,
% 5.43/4.92 (xuntil2p8(s90)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32114, 32108])).
% 5.43/4.92 tff(32116,plain,
% 5.43/4.92 (until2p7(s91)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10138, 32115])).
% 5.43/4.92 tff(32117,plain,
% 5.43/4.92 (always3(s92)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5872, 32109])).
% 5.43/4.92 tff(32118,plain,
% 5.43/4.92 (~m_main_v_state(s92, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17332, 145, 32117])).
% 5.43/4.92 tff(32119,plain,
% 5.43/4.92 (m_main_v_state(s91, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17374, 188, 32110])).
% 5.43/4.92 tff(32120,plain,
% 5.43/4.92 (~m_main_v_request(s91)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17368, 32119, 32118])).
% 5.43/4.92 tff(32121,plain,
% 5.43/4.92 (~node4(s91)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17359, 63, 32120])).
% 5.43/4.92 tff(32122,plain,
% 5.43/4.92 (xuntil2p8(s91) | (~until2p7(s91))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10132, 8293, 32121])).
% 5.43/4.92 tff(32123,plain,
% 5.43/4.92 (xuntil2p8(s91)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32122, 32116])).
% 5.43/4.92 tff(32124,plain,
% 5.43/4.92 (until2p7(s92)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10126, 32123])).
% 5.43/4.92 tff(32125,plain,
% 5.43/4.92 (always3(s93)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5860, 32117])).
% 5.43/4.92 tff(32126,plain,
% 5.43/4.92 (~m_main_v_state(s93, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10098, 145, 32125])).
% 5.43/4.92 tff(32127,assumption,(~m_main_v_state(s92, c_busy)), introduced(assumption)).
% 5.43/4.92 tff(32128,assumption,(node1(s91)), introduced(assumption)).
% 5.43/4.92 tff(32129,plain,
% 5.43/4.92 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s91, c_ready) | (~node1(s91)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s91, c_ready) | (~node1(s91)))),
% 5.43/4.92 inference(rewrite,[status(thm)],[])).
% 5.43/4.92 tff(32130,plain,
% 5.43/4.92 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s91, c_ready) | (~node1(s91)))),
% 5.43/4.92 inference(quant_inst,[status(thm)],[])).
% 5.43/4.92 tff(32131,plain,
% 5.43/4.92 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s91, c_ready) | (~node1(s91))),
% 5.43/4.92 inference(modus_ponens,[status(thm)],[32130, 32129])).
% 5.43/4.92 tff(32132,plain,
% 5.43/4.92 (m_main_v_state(s91, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32131, 2265, 32128])).
% 5.43/4.92 tff(32133,plain,
% 5.43/4.92 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s91) | (~node1(s91)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s91) | (~node1(s91)))),
% 5.43/4.92 inference(rewrite,[status(thm)],[])).
% 5.43/4.92 tff(32134,plain,
% 5.43/4.92 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s91) | (~node1(s91)))),
% 5.43/4.92 inference(quant_inst,[status(thm)],[])).
% 5.43/4.92 tff(32135,plain,
% 5.43/4.92 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s91) | (~node1(s91))),
% 5.43/4.92 inference(modus_ponens,[status(thm)],[32134, 32133])).
% 5.43/4.92 tff(32136,plain,
% 5.43/4.92 (m_main_v_request(s91)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32135, 2276, 32128])).
% 5.43/4.92 tff(32137,plain,
% 5.43/4.92 ($false),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17368, 32136, 32132, 32127])).
% 5.43/4.92 tff(32138,plain,((~node1(s91)) | m_main_v_state(s92, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.43/4.92 tff(32139,plain,
% 5.43/4.92 (~node1(s91)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32138, 32118])).
% 5.43/4.92 tff(32140,plain,
% 5.43/4.92 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s91, s92)) | m_main_v_state(s92, c_busy) | node1(s91) | m_main_v_state(s92, 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(s91, s92)) | m_main_v_state(s92, c_busy) | node1(s91) | m_main_v_state(s92, c_ready))),
% 5.43/4.92 inference(rewrite,[status(thm)],[])).
% 5.43/4.92 tff(32141,plain,
% 5.43/4.92 ((node1(s91) | m_main_v_state(s92, c_ready) | (~node2(s91, s92)) | m_main_v_state(s92, c_busy)) <=> ((~node2(s91, s92)) | m_main_v_state(s92, c_busy) | node1(s91) | m_main_v_state(s92, c_ready))),
% 5.43/4.92 inference(rewrite,[status(thm)],[])).
% 5.43/4.92 tff(32142,plain,
% 5.43/4.92 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s91) | m_main_v_state(s92, c_ready) | (~node2(s91, s92)) | m_main_v_state(s92, 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(s91, s92)) | m_main_v_state(s92, c_busy) | node1(s91) | m_main_v_state(s92, c_ready)))),
% 5.43/4.92 inference(monotonicity,[status(thm)],[32141])).
% 5.43/4.92 tff(32143,plain,
% 5.43/4.92 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s91) | m_main_v_state(s92, c_ready) | (~node2(s91, s92)) | m_main_v_state(s92, 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(s91, s92)) | m_main_v_state(s92, c_busy) | node1(s91) | m_main_v_state(s92, c_ready))),
% 5.43/4.92 inference(transitivity,[status(thm)],[32142, 32140])).
% 5.43/4.92 tff(32144,plain,
% 5.43/4.92 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s91) | m_main_v_state(s92, c_ready) | (~node2(s91, s92)) | m_main_v_state(s92, c_busy))),
% 5.43/4.92 inference(quant_inst,[status(thm)],[])).
% 5.43/4.92 tff(32145,plain,
% 5.43/4.92 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s91, s92)) | m_main_v_state(s92, c_busy) | node1(s91) | m_main_v_state(s92, c_ready)),
% 5.43/4.92 inference(modus_ponens,[status(thm)],[32144, 32143])).
% 5.43/4.92 tff(32146,plain,
% 5.43/4.92 (m_main_v_state(s92, c_busy) | node1(s91) | m_main_v_state(s92, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32145, 2250, 17364])).
% 5.43/4.92 tff(32147,plain,
% 5.43/4.92 (m_main_v_state(s92, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32146, 32139, 32118])).
% 5.43/4.92 tff(32148,plain,
% 5.43/4.92 (~m_main_v_request(s92)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17347, 32147, 32126])).
% 5.43/4.92 tff(32149,plain,
% 5.43/4.92 (~node4(s92)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17351, 63, 32148])).
% 5.43/4.92 tff(32150,plain,
% 5.43/4.92 (xuntil2p8(s92) | (~until2p7(s92))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10120, 8293, 32149])).
% 5.43/4.92 tff(32151,plain,
% 5.43/4.92 (xuntil2p8(s92)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32150, 32124])).
% 5.43/4.92 tff(32152,plain,
% 5.43/4.92 (until2p7(s93)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10113, 32151])).
% 5.43/4.92 tff(32153,plain,
% 5.43/4.92 (xuntil2p8(s93)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10108, 32152])).
% 5.43/4.92 tff(32154,plain,
% 5.43/4.92 (until2p7(s94)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10068, 32153])).
% 5.43/4.92 tff(32155,plain,
% 5.43/4.92 (always3(s94)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5848, 32125])).
% 5.43/4.92 tff(32156,plain,
% 5.43/4.92 (always3(s95)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5836, 32155])).
% 5.43/4.92 tff(32157,plain,
% 5.43/4.92 (~m_main_v_state(s95, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17274, 145, 32156])).
% 5.43/4.92 tff(32158,plain,
% 5.43/4.92 (~node4(s94)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17309, 32157])).
% 5.43/4.92 tff(32159,plain,
% 5.43/4.92 (xuntil2p8(s94) | (~until2p7(s94))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10062, 8293, 32158])).
% 5.43/4.92 tff(32160,plain,
% 5.43/4.92 (xuntil2p8(s94)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32159, 32154])).
% 5.43/4.92 tff(32161,plain,
% 5.43/4.92 (until2p7(s95)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10056, 32160])).
% 5.43/4.92 tff(32162,plain,
% 5.43/4.92 (always3(s96)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5824, 32156])).
% 5.43/4.92 tff(32163,plain,
% 5.43/4.92 (~m_main_v_state(s96, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17229, 145, 32162])).
% 5.43/4.92 tff(32164,assumption,(~m_main_v_state(s95, c_ready)), introduced(assumption)).
% 5.43/4.92 tff(32165,plain,
% 5.43/4.92 ($false),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17278, 188, 17288, 32164])).
% 5.43/4.92 tff(32166,plain,(m_main_v_state(s95, c_ready) | m_main_v_state(s95, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.43/4.92 tff(32167,plain,
% 5.43/4.92 (m_main_v_state(s95, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32166, 32157])).
% 5.43/4.92 tff(32168,plain,
% 5.43/4.92 (~m_main_v_request(s95)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17267, 32167, 32163])).
% 5.43/4.92 tff(32169,plain,
% 5.43/4.92 (~node4(s95)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17258, 63, 32168])).
% 5.43/4.92 tff(32170,plain,
% 5.43/4.92 (xuntil2p8(s95) | (~until2p7(s95))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10050, 8293, 32169])).
% 5.43/4.92 tff(32171,plain,
% 5.43/4.92 (xuntil2p8(s95)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32170, 32161])).
% 5.43/4.92 tff(32172,plain,
% 5.43/4.92 (until2p7(s96)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10044, 32171])).
% 5.43/4.92 tff(32173,plain,
% 5.43/4.92 (always3(s97)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5812, 32162])).
% 5.43/4.92 tff(32174,plain,
% 5.43/4.92 (~m_main_v_state(s97, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10016, 145, 32173])).
% 5.43/4.92 tff(32175,plain,
% 5.43/4.92 (m_main_v_state(s96, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17233, 188, 32163])).
% 5.43/4.92 tff(32176,plain,
% 5.43/4.92 (~m_main_v_request(s96)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17242, 32175, 32174])).
% 5.43/4.92 tff(32177,plain,
% 5.43/4.92 (~node4(s96)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17246, 63, 32176])).
% 5.43/4.92 tff(32178,plain,
% 5.43/4.92 (xuntil2p8(s96) | (~until2p7(s96))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10038, 8293, 32177])).
% 5.43/4.92 tff(32179,plain,
% 5.43/4.92 (xuntil2p8(s96)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32178, 32172])).
% 5.43/4.92 tff(32180,plain,
% 5.43/4.92 (until2p7(s97)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10031, 32179])).
% 5.43/4.92 tff(32181,plain,
% 5.43/4.92 (xuntil2p8(s97)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10026, 32180])).
% 5.43/4.92 tff(32182,plain,
% 5.43/4.92 (always3(s98)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5800, 32173])).
% 5.43/4.92 tff(32183,plain,
% 5.43/4.92 (always3(s99)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5788, 32182])).
% 5.43/4.92 tff(32184,plain,
% 5.43/4.92 (always3(s100)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5776, 32183])).
% 5.43/4.92 tff(32185,plain,
% 5.43/4.92 (always3(s101)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5764, 32184])).
% 5.43/4.92 tff(32186,plain,
% 5.43/4.92 (always3(s102)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5752, 32185])).
% 5.43/4.92 tff(32187,plain,
% 5.43/4.92 (always3(s103)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5740, 32186])).
% 5.43/4.92 tff(32188,plain,
% 5.43/4.92 (always3(s104)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5728, 32187])).
% 5.43/4.92 tff(32189,plain,
% 5.43/4.92 (always3(s105)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5712, 32188])).
% 5.43/4.92 tff(32190,plain,
% 5.43/4.92 (always3(s106)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5700, 32189])).
% 5.43/4.92 tff(32191,plain,
% 5.43/4.92 (always3(s107)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5688, 32190])).
% 5.43/4.92 tff(32192,plain,
% 5.43/4.92 (always3(s108)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5676, 32191])).
% 5.43/4.92 tff(32193,plain,
% 5.43/4.92 (always3(s109)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5664, 32192])).
% 5.43/4.92 tff(32194,plain,
% 5.43/4.92 (always3(s110)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5652, 32193])).
% 5.43/4.92 tff(32195,plain,
% 5.43/4.92 (always3(s111)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5640, 32194])).
% 5.43/4.92 tff(32196,plain,
% 5.43/4.92 (always3(s112)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5628, 32195])).
% 5.43/4.92 tff(32197,plain,
% 5.43/4.92 (always3(s113)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5616, 32196])).
% 5.43/4.92 tff(32198,plain,
% 5.43/4.92 (~m_main_v_state(s113, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[18192, 145, 32197])).
% 5.43/4.92 tff(32199,plain,
% 5.43/4.92 (~node4(s112)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[18257, 32198])).
% 5.43/4.92 tff(32200,plain,
% 5.43/4.92 (always3(s114)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5604, 32197])).
% 5.43/4.92 tff(32201,plain,
% 5.43/4.92 (~m_main_v_state(s114, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[18176, 145, 32200])).
% 5.43/4.92 tff(32202,assumption,(~m_main_v_state(s113, c_ready)), introduced(assumption)).
% 5.43/4.92 tff(32203,plain,
% 5.43/4.92 (~node1(s112)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[31863, 18236])).
% 5.43/4.92 tff(32204,plain,
% 5.43/4.92 ($false),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[31871, 32203, 18236, 32202])).
% 5.43/4.92 tff(32205,plain,(m_main_v_state(s113, c_busy) | m_main_v_state(s113, c_ready)), inference(lemma,lemma(discharge,[]))).
% 5.43/4.92 tff(32206,plain,
% 5.43/4.92 (m_main_v_state(s113, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32205, 32198])).
% 5.43/4.92 tff(32207,plain,
% 5.43/4.92 (~m_main_v_request(s113)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[18185, 32206, 32201])).
% 5.43/4.92 tff(32208,plain,
% 5.43/4.92 (~node4(s113)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[18153, 63, 32207])).
% 5.43/4.92 tff(32209,assumption,(~m_main_v_state(s114, c_busy)), introduced(assumption)).
% 5.43/4.92 tff(32210,assumption,(node1(s113)), introduced(assumption)).
% 5.43/4.92 tff(32211,plain,
% 5.43/4.92 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s113, c_ready) | (~node1(s113)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s113, c_ready) | (~node1(s113)))),
% 5.43/4.92 inference(rewrite,[status(thm)],[])).
% 5.43/4.92 tff(32212,plain,
% 5.43/4.92 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s113, c_ready) | (~node1(s113)))),
% 5.43/4.92 inference(quant_inst,[status(thm)],[])).
% 5.43/4.92 tff(32213,plain,
% 5.43/4.92 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s113, c_ready) | (~node1(s113))),
% 5.43/4.92 inference(modus_ponens,[status(thm)],[32212, 32211])).
% 5.43/4.92 tff(32214,plain,
% 5.43/4.92 (m_main_v_state(s113, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32213, 2265, 32210])).
% 5.43/4.92 tff(32215,plain,
% 5.43/4.92 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s113) | (~node1(s113)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s113) | (~node1(s113)))),
% 5.43/4.92 inference(rewrite,[status(thm)],[])).
% 5.43/4.92 tff(32216,plain,
% 5.43/4.92 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s113) | (~node1(s113)))),
% 5.43/4.92 inference(quant_inst,[status(thm)],[])).
% 5.43/4.92 tff(32217,plain,
% 5.43/4.92 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s113) | (~node1(s113))),
% 5.43/4.92 inference(modus_ponens,[status(thm)],[32216, 32215])).
% 5.43/4.92 tff(32218,plain,
% 5.43/4.92 (m_main_v_request(s113)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32217, 2276, 32210])).
% 5.43/4.92 tff(32219,plain,
% 5.43/4.92 ($false),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[18185, 32218, 32214, 32209])).
% 5.43/4.92 tff(32220,plain,((~node1(s113)) | m_main_v_state(s114, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.43/4.92 tff(32221,plain,
% 5.43/4.92 (~node1(s113)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32220, 32201])).
% 5.43/4.92 tff(32222,plain,
% 5.43/4.92 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s113, s114)) | m_main_v_state(s114, c_busy) | node1(s113) | m_main_v_state(s114, 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(s113, s114)) | m_main_v_state(s114, c_busy) | node1(s113) | m_main_v_state(s114, c_ready))),
% 5.43/4.92 inference(rewrite,[status(thm)],[])).
% 5.43/4.92 tff(32223,plain,
% 5.43/4.92 ((node1(s113) | m_main_v_state(s114, c_ready) | (~node2(s113, s114)) | m_main_v_state(s114, c_busy)) <=> ((~node2(s113, s114)) | m_main_v_state(s114, c_busy) | node1(s113) | m_main_v_state(s114, c_ready))),
% 5.43/4.92 inference(rewrite,[status(thm)],[])).
% 5.43/4.92 tff(32224,plain,
% 5.43/4.92 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s113) | m_main_v_state(s114, c_ready) | (~node2(s113, s114)) | m_main_v_state(s114, 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(s113, s114)) | m_main_v_state(s114, c_busy) | node1(s113) | m_main_v_state(s114, c_ready)))),
% 5.43/4.92 inference(monotonicity,[status(thm)],[32223])).
% 5.43/4.92 tff(32225,plain,
% 5.43/4.92 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s113) | m_main_v_state(s114, c_ready) | (~node2(s113, s114)) | m_main_v_state(s114, 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(s113, s114)) | m_main_v_state(s114, c_busy) | node1(s113) | m_main_v_state(s114, c_ready))),
% 5.43/4.92 inference(transitivity,[status(thm)],[32224, 32222])).
% 5.43/4.92 tff(32226,plain,
% 5.43/4.92 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s113) | m_main_v_state(s114, c_ready) | (~node2(s113, s114)) | m_main_v_state(s114, c_busy))),
% 5.43/4.92 inference(quant_inst,[status(thm)],[])).
% 5.43/4.92 tff(32227,plain,
% 5.43/4.92 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s113, s114)) | m_main_v_state(s114, c_busy) | node1(s113) | m_main_v_state(s114, c_ready)),
% 5.43/4.92 inference(modus_ponens,[status(thm)],[32226, 32225])).
% 5.43/4.92 tff(32228,plain,
% 5.43/4.92 (m_main_v_state(s114, c_busy) | node1(s113) | m_main_v_state(s114, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32227, 2250, 18181])).
% 5.43/4.92 tff(32229,plain,
% 5.43/4.92 (m_main_v_state(s114, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32228, 32201, 32221])).
% 5.43/4.92 tff(32230,plain,
% 5.43/4.92 (~m_main_v_request(s114)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[18314, 32229, 31828])).
% 5.43/4.92 tff(32231,plain,
% 5.43/4.92 (~node4(s114)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[18305, 63, 32230])).
% 5.43/4.92 tff(32232,plain,
% 5.43/4.92 (~until2p7(s114)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[31831, 32231])).
% 5.43/4.92 tff(32233,plain,
% 5.43/4.92 (~xuntil2p8(s113)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9726, 32232])).
% 5.43/4.92 tff(32234,plain,
% 5.43/4.92 (~until2p7(s113)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9732, 8293, 32233, 32208])).
% 5.43/4.92 tff(32235,plain,
% 5.43/4.92 (~xuntil2p8(s112)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9738, 32234])).
% 5.43/4.92 tff(32236,plain,
% 5.43/4.92 (~until2p7(s112)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9744, 8293, 32235, 32199])).
% 5.43/4.92 tff(32237,plain,
% 5.43/4.92 (~xuntil2p8(s111)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9750, 32236])).
% 5.43/4.92 tff(32238,plain,
% 5.43/4.92 (xuntil2p8(s111) | (~until2p7(s111))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9756, 8293, 18229])).
% 5.43/4.92 tff(32239,plain,
% 5.43/4.92 (~until2p7(s111)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32238, 32237])).
% 5.43/4.92 tff(32240,plain,
% 5.43/4.92 (~xuntil2p8(s110)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9762, 32239])).
% 5.43/4.92 tff(32241,plain,
% 5.43/4.92 (~m_main_v_state(s111, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17678, 145, 32195])).
% 5.43/4.92 tff(32242,plain,
% 5.43/4.92 (~m_main_v_state(s110, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17701, 145, 32194])).
% 5.43/4.92 tff(32243,assumption,(~m_main_v_state(s110, c_ready)), introduced(assumption)).
% 5.43/4.92 tff(32244,plain,
% 5.43/4.92 ($false),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17705, 188, 17713, 32243])).
% 5.43/4.92 tff(32245,plain,(m_main_v_state(s110, c_ready) | m_main_v_state(s110, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.43/4.92 tff(32246,plain,
% 5.43/4.92 (m_main_v_state(s110, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32245, 32242])).
% 5.43/4.92 tff(32247,plain,
% 5.43/4.92 (~m_main_v_request(s110)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17694, 32246, 32241])).
% 5.43/4.92 tff(32248,plain,
% 5.43/4.92 (~node4(s110)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17685, 63, 32247])).
% 5.43/4.92 tff(32249,plain,
% 5.43/4.92 (xuntil2p8(s110) | (~until2p7(s110))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9768, 8293, 32248])).
% 5.43/4.92 tff(32250,plain,
% 5.43/4.92 (~until2p7(s110)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32249, 32240])).
% 5.43/4.92 tff(32251,plain,
% 5.43/4.92 (~xuntil2p8(s109)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9774, 32250])).
% 5.43/4.92 tff(32252,plain,
% 5.43/4.92 (~node4(s109)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17734, 32242])).
% 5.43/4.92 tff(32253,plain,
% 5.43/4.92 (xuntil2p8(s109) | (~until2p7(s109))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9780, 8293, 32252])).
% 5.43/4.92 tff(32254,plain,
% 5.43/4.92 (~until2p7(s109)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32253, 32251])).
% 5.43/4.92 tff(32255,plain,
% 5.43/4.92 (~xuntil2p8(s108)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9786, 32254])).
% 5.43/4.92 tff(32256,plain,
% 5.43/4.92 (~m_main_v_state(s109, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17572, 145, 32193])).
% 5.43/4.92 tff(32257,plain,
% 5.43/4.92 (~m_main_v_state(s108, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17595, 145, 32192])).
% 5.43/4.92 tff(32258,plain,
% 5.43/4.92 (m_main_v_state(s108, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17599, 188, 32257])).
% 5.43/4.92 tff(32259,plain,
% 5.43/4.92 (~m_main_v_request(s108)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17588, 32258, 32256])).
% 5.43/4.92 tff(32260,plain,
% 5.43/4.92 (~node4(s108)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17579, 63, 32259])).
% 5.43/4.92 tff(32261,plain,
% 5.43/4.92 (xuntil2p8(s108) | (~until2p7(s108))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9792, 8293, 32260])).
% 5.43/4.92 tff(32262,plain,
% 5.43/4.92 (~until2p7(s108)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32261, 32255])).
% 5.43/4.92 tff(32263,plain,
% 5.43/4.92 (~xuntil2p8(s107)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9798, 32262])).
% 5.43/4.92 tff(32264,plain,
% 5.43/4.92 (~node4(s107)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17628, 32257])).
% 5.43/4.92 tff(32265,plain,
% 5.43/4.92 (xuntil2p8(s107) | (~until2p7(s107))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9804, 8293, 32264])).
% 5.43/4.92 tff(32266,plain,
% 5.43/4.92 (~until2p7(s107)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32265, 32263])).
% 5.43/4.92 tff(32267,plain,
% 5.43/4.92 (~xuntil2p8(s106)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9810, 32266])).
% 5.43/4.92 tff(32268,plain,
% 5.43/4.92 (~m_main_v_state(s107, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17476, 145, 32191])).
% 5.43/4.92 tff(32269,plain,
% 5.43/4.92 (~m_main_v_state(s106, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17503, 145, 32190])).
% 5.43/4.92 tff(32270,assumption,(node1(s105)), introduced(assumption)).
% 5.43/4.92 tff(32271,plain,
% 5.43/4.92 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s105, c_ready) | (~node1(s105)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s105, c_ready) | (~node1(s105)))),
% 5.43/4.92 inference(rewrite,[status(thm)],[])).
% 5.43/4.92 tff(32272,plain,
% 5.43/4.92 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s105, c_ready) | (~node1(s105)))),
% 5.43/4.92 inference(quant_inst,[status(thm)],[])).
% 5.43/4.92 tff(32273,plain,
% 5.43/4.92 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s105, c_ready) | (~node1(s105))),
% 5.43/4.92 inference(modus_ponens,[status(thm)],[32272, 32271])).
% 5.43/4.92 tff(32274,plain,
% 5.43/4.92 (m_main_v_state(s105, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32273, 2265, 32270])).
% 5.43/4.92 tff(32275,plain,
% 5.43/4.92 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s105) | (~node1(s105)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s105) | (~node1(s105)))),
% 5.43/4.92 inference(rewrite,[status(thm)],[])).
% 5.43/4.92 tff(32276,plain,
% 5.43/4.92 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s105) | (~node1(s105)))),
% 5.43/4.92 inference(quant_inst,[status(thm)],[])).
% 5.43/4.92 tff(32277,plain,
% 5.43/4.92 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s105) | (~node1(s105))),
% 5.43/4.92 inference(modus_ponens,[status(thm)],[32276, 32275])).
% 5.43/4.92 tff(32278,plain,
% 5.43/4.92 (m_main_v_request(s105)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32277, 2276, 32270])).
% 5.43/4.92 tff(32279,plain,
% 5.43/4.92 ($false),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17524, 32278, 32274, 17511])).
% 5.43/4.92 tff(32280,plain,((~node1(s105)) | m_main_v_state(s106, c_busy)), inference(lemma,lemma(discharge,[]))).
% 5.43/4.92 tff(32281,plain,
% 5.43/4.92 (~node1(s105)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32280, 32269])).
% 5.43/4.92 tff(32282,plain,
% 5.43/4.92 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s105, s106)) | m_main_v_state(s106, c_busy) | node1(s105) | m_main_v_state(s106, 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(s105, s106)) | m_main_v_state(s106, c_busy) | node1(s105) | m_main_v_state(s106, c_ready))),
% 5.43/4.92 inference(rewrite,[status(thm)],[])).
% 5.43/4.92 tff(32283,plain,
% 5.43/4.92 ((node1(s105) | m_main_v_state(s106, c_ready) | (~node2(s105, s106)) | m_main_v_state(s106, c_busy)) <=> ((~node2(s105, s106)) | m_main_v_state(s106, c_busy) | node1(s105) | m_main_v_state(s106, c_ready))),
% 5.43/4.92 inference(rewrite,[status(thm)],[])).
% 5.43/4.92 tff(32284,plain,
% 5.43/4.92 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s105) | m_main_v_state(s106, c_ready) | (~node2(s105, s106)) | m_main_v_state(s106, 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(s105, s106)) | m_main_v_state(s106, c_busy) | node1(s105) | m_main_v_state(s106, c_ready)))),
% 5.43/4.92 inference(monotonicity,[status(thm)],[32283])).
% 5.43/4.92 tff(32285,plain,
% 5.43/4.92 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s105) | m_main_v_state(s106, c_ready) | (~node2(s105, s106)) | m_main_v_state(s106, 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(s105, s106)) | m_main_v_state(s106, c_busy) | node1(s105) | m_main_v_state(s106, c_ready))),
% 5.43/4.92 inference(transitivity,[status(thm)],[32284, 32282])).
% 5.43/4.92 tff(32286,plain,
% 5.43/4.92 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s105) | m_main_v_state(s106, c_ready) | (~node2(s105, s106)) | m_main_v_state(s106, c_busy))),
% 5.43/4.92 inference(quant_inst,[status(thm)],[])).
% 5.43/4.92 tff(32287,plain,
% 5.43/4.92 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s105, s106)) | m_main_v_state(s106, c_busy) | node1(s105) | m_main_v_state(s106, c_ready)),
% 5.43/4.92 inference(modus_ponens,[status(thm)],[32286, 32285])).
% 5.43/4.92 tff(32288,plain,
% 5.43/4.92 (m_main_v_state(s106, c_busy) | node1(s105) | m_main_v_state(s106, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32287, 2250, 17520])).
% 5.43/4.92 tff(32289,plain,
% 5.43/4.92 (m_main_v_state(s106, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32288, 32281, 32269])).
% 5.43/4.92 tff(32290,plain,
% 5.43/4.92 (~m_main_v_request(s106)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17492, 32289, 32268])).
% 5.43/4.92 tff(32291,plain,
% 5.43/4.92 (~node4(s106)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17483, 63, 32290])).
% 5.43/4.92 tff(32292,plain,
% 5.43/4.92 (xuntil2p8(s106) | (~until2p7(s106))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9816, 8293, 32291])).
% 5.43/4.92 tff(32293,plain,
% 5.43/4.92 (~until2p7(s106)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32292, 32267])).
% 5.43/4.92 tff(32294,plain,
% 5.43/4.92 (~xuntil2p8(s105)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9822, 32293])).
% 5.43/4.92 tff(32295,plain,
% 5.43/4.92 (~node4(s105)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17532, 32269])).
% 5.43/4.92 tff(32296,plain,
% 5.43/4.92 (xuntil2p8(s105) | (~until2p7(s105))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9828, 8293, 32295])).
% 5.43/4.92 tff(32297,plain,
% 5.43/4.92 (~until2p7(s105)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32296, 32294])).
% 5.43/4.92 tff(32298,plain,
% 5.43/4.92 (~xuntil2p8(s104)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9834, 32297])).
% 5.43/4.92 tff(32299,plain,
% 5.43/4.92 (~m_main_v_state(s105, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17405, 145, 32189])).
% 5.43/4.92 tff(32300,plain,
% 5.43/4.92 (~m_main_v_state(s104, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17397, 145, 32188])).
% 5.43/4.92 tff(32301,plain,
% 5.43/4.92 (m_main_v_state(s104, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17409, 188, 32300])).
% 5.43/4.92 tff(32302,plain,
% 5.43/4.92 (~m_main_v_request(s104)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17418, 32301, 32299])).
% 5.43/4.92 tff(32303,plain,
% 5.43/4.92 (~node4(s104)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17422, 63, 32302])).
% 5.43/4.92 tff(32304,plain,
% 5.43/4.92 (xuntil2p8(s104) | (~until2p7(s104))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9840, 8293, 32303])).
% 5.43/4.92 tff(32305,plain,
% 5.43/4.92 (~until2p7(s104)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32304, 32298])).
% 5.43/4.92 tff(32306,plain,
% 5.43/4.92 (~xuntil2p8(s103)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9846, 32305])).
% 5.43/4.92 tff(32307,plain,
% 5.43/4.92 (~m_main_v_state(s103, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9872, 145, 32187])).
% 5.43/4.92 tff(32308,plain,
% 5.43/4.92 (m_main_v_state(s103, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17446, 188, 32307])).
% 5.43/4.92 tff(32309,plain,
% 5.43/4.92 (~m_main_v_request(s103)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17440, 32308, 32300])).
% 5.43/4.92 tff(32310,plain,
% 5.43/4.92 (~node4(s103)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17431, 63, 32309])).
% 5.43/4.92 tff(32311,plain,
% 5.43/4.92 (xuntil2p8(s103) | (~until2p7(s103))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9852, 8293, 32310])).
% 5.43/4.92 tff(32312,plain,
% 5.43/4.92 (~until2p7(s103)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32311, 32306])).
% 5.43/4.92 tff(32313,plain,
% 5.43/4.92 (~xuntil2p8(s102)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9858, 32312])).
% 5.43/4.92 tff(32314,plain,
% 5.43/4.92 (~until2p7(s102)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9898, 32313])).
% 5.43/4.92 tff(32315,plain,
% 5.43/4.92 (~xuntil2p8(s101)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9903, 32314])).
% 5.43/4.92 tff(32316,plain,
% 5.43/4.92 (~m_main_v_state(s102, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9888, 145, 32186])).
% 5.43/4.92 tff(32317,plain,
% 5.43/4.92 (~m_main_v_state(s101, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17109, 145, 32185])).
% 5.43/4.92 tff(32318,plain,
% 5.43/4.92 (m_main_v_state(s101, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17138, 188, 32317])).
% 5.43/4.92 tff(32319,plain,
% 5.43/4.92 (~m_main_v_request(s101)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17147, 32318, 32316])).
% 5.43/4.92 tff(32320,plain,
% 5.43/4.92 (~node4(s101)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17151, 63, 32319])).
% 5.43/4.92 tff(32321,plain,
% 5.43/4.92 (xuntil2p8(s101) | (~until2p7(s101))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9910, 8293, 32320])).
% 5.43/4.92 tff(32322,plain,
% 5.43/4.92 (~until2p7(s101)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32321, 32315])).
% 5.43/4.92 tff(32323,plain,
% 5.43/4.92 (~xuntil2p8(s100)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9916, 32322])).
% 5.43/4.92 tff(32324,plain,
% 5.43/4.92 (~node4(s100)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17132, 32317])).
% 5.43/4.92 tff(32325,plain,
% 5.43/4.92 (xuntil2p8(s100) | (~until2p7(s100))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9922, 8293, 32324])).
% 5.43/4.92 tff(32326,plain,
% 5.43/4.92 (~until2p7(s100)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32325, 32323])).
% 5.43/4.92 tff(32327,plain,
% 5.43/4.92 (~xuntil2p8(s99)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9928, 32326])).
% 5.43/4.92 tff(32328,plain,
% 5.43/4.92 (~until2p7(s99)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9968, 32327])).
% 5.43/4.92 tff(32329,plain,
% 5.43/4.92 (~xuntil2p8(s98)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9973, 32328])).
% 5.43/4.92 tff(32330,plain,
% 5.43/4.92 (~m_main_v_state(s99, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9958, 145, 32183])).
% 5.43/4.92 tff(32331,plain,
% 5.43/4.92 (~m_main_v_state(s98, c_busy)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[10000, 145, 32182])).
% 5.43/4.92 tff(32332,plain,
% 5.43/4.92 (m_main_v_state(s98, c_ready)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17192, 188, 32331])).
% 5.43/4.92 tff(32333,plain,
% 5.43/4.92 (~m_main_v_request(s98)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17201, 32332, 32330])).
% 5.43/4.92 tff(32334,plain,
% 5.43/4.92 (~node4(s98)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[17205, 63, 32333])).
% 5.43/4.92 tff(32335,plain,
% 5.43/4.92 (xuntil2p8(s98) | (~until2p7(s98))),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9980, 8293, 32334])).
% 5.43/4.92 tff(32336,plain,
% 5.43/4.92 (~until2p7(s98)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32335, 32329])).
% 5.43/4.92 tff(32337,plain,
% 5.43/4.92 ($false),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[9986, 32336, 32181])).
% 5.43/4.92 tff(32338,plain,((~trans(s199, s78)) | xuntil2p8(s114) | node1(s199) | m_main_v_state(s115, c_busy) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.43/4.92 tff(32339,plain,
% 5.43/4.92 (~trans(s199, s78)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[32338, 31827, 24176, 31820, 11264])).
% 5.43/4.92 tff(32340,plain,
% 5.43/4.92 (~trans(s199, s100)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[24753, 24182])).
% 5.43/4.92 tff(32341,plain,
% 5.43/4.92 (~trans(s199, s144)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[12241, 31291, 11264])).
% 5.43/4.92 tff(32342,plain,
% 5.43/4.92 (~trans(s199, s118)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[11977, 31750, 11264])).
% 5.43/4.92 tff(32343,plain,
% 5.43/4.92 (~trans(s199, s123)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[11449, 31640, 11264])).
% 5.43/4.92 tff(32344,plain,
% 5.43/4.92 (~trans(s199, s87)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[24730, 31523])).
% 5.43/4.92 tff(32345,plain,
% 5.43/4.92 (~trans(s199, s143)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[27763, 31284, 11264])).
% 5.43/4.92 tff(32346,plain,
% 5.43/4.92 (~trans(s199, s103)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[24692, 24179])).
% 5.43/4.92 tff(32347,plain,
% 5.43/4.92 (~trans(s199, s163)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[12791, 31124, 11264])).
% 5.43/4.92 tff(32348,plain,
% 5.43/4.92 (~always3(s78)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[6028, 31536])).
% 5.43/4.92 tff(32349,plain,
% 5.43/4.92 (~always3(s77)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[6040, 32348])).
% 5.43/4.92 tff(32350,plain,
% 5.43/4.92 (~trans(s199, s77)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[24612, 32349])).
% 5.43/4.92 tff(32351,plain,
% 5.43/4.92 (~always3(s111)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5628, 24458])).
% 5.43/4.92 tff(32352,plain,
% 5.43/4.92 (~always3(s110)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5640, 32351])).
% 5.43/4.92 tff(32353,plain,
% 5.43/4.92 (~always3(s109)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5652, 32352])).
% 5.43/4.92 tff(32354,plain,
% 5.43/4.92 (~always3(s108)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5664, 32353])).
% 5.43/4.92 tff(32355,plain,
% 5.43/4.92 (~trans(s199, s108)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[24334, 32354])).
% 5.43/4.92 tff(32356,plain,
% 5.43/4.92 (~trans(s199, s111)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[24703, 32351])).
% 5.43/4.92 tff(32357,plain,
% 5.43/4.92 (~trans(s199, s110)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[24525, 32352])).
% 5.43/4.92 tff(32358,plain,
% 5.43/4.92 (~trans(s199, s109)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[24717, 32353])).
% 5.43/4.92 tff(32359,plain,
% 5.43/4.92 (~trans(s199, s112)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[24467, 24458])).
% 5.43/4.92 tff(32360,plain,
% 5.43/4.92 (~until2p7(s185)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[16110, 25050])).
% 5.43/4.92 tff(32361,plain,
% 5.43/4.92 (~xuntil2p8(s184)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[8540, 32360])).
% 5.43/4.92 tff(32362,plain,
% 5.43/4.92 (~until2p7(s184)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[8580, 32361])).
% 5.43/4.92 tff(32363,plain,
% 5.43/4.92 (~xuntil2p8(s183)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[8585, 32362])).
% 5.43/4.92 tff(32364,plain,
% 5.43/4.92 (~trans(s199, s133)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[25403, 11264, 32363])).
% 5.43/4.92 tff(32365,plain,
% 5.43/4.92 (~always3(s107)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5676, 32354])).
% 5.43/4.92 tff(32366,plain,
% 5.43/4.92 (~trans(s199, s107)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[24428, 32365])).
% 5.43/4.92 tff(32367,plain,
% 5.43/4.92 (~always3(s106)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[5688, 32365])).
% 5.43/4.92 tff(32368,plain,
% 5.43/4.92 (~trans(s199, s106)),
% 5.43/4.92 inference(unit_resolution,[status(thm)],[24640, 32367])).
% 5.43/4.92 tff(32369,plain,
% 5.43/4.92 (trans(s199, s164) | (~xuntil6(s199)) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s144) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s143) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s152) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s154) | trans(s199, s163) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s149) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s161) | trans(s199, s153) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s150) | trans(s199, s35) | trans(s199, s157) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s156) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s37) | trans(s199, s145) | trans(s199, s79) | trans(s199, s155) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s162) | trans(s199, s120) | trans(s199, s138) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[26935, 16109])).
% 5.43/4.93 tff(32370,plain,
% 5.43/4.93 ($false),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[32369, 32368, 32366, 13613, 13665, 13491, 13539, 13659, 13658, 12474, 13656, 13655, 13654, 13662, 13652, 13651, 13650, 13507, 11264, 13647, 13646, 13645, 13563, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13660, 13633, 13632, 13631, 13495, 13642, 13628, 13627, 13626, 13624, 32364, 13622, 13621, 13601, 13619, 13538, 13617, 13616, 13615, 13614, 13488, 13630, 13653, 13609, 13608, 13606, 13605, 13604, 13603, 13611, 13513, 13602, 13600, 13598, 13597, 13596, 13595, 13594, 13599, 13593, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13610, 13579, 13657, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13592, 13565, 13564, 13537, 13562, 13561, 13560, 13559, 13557, 13556, 13555, 32359, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 32358, 13542, 13541, 13540, 13496, 13536, 13531, 13535, 13534, 13532, 13521, 13530, 13505, 13527, 32357, 13525, 13661, 13518, 13517, 13515, 13514, 32356, 13512, 13511, 13510, 13508, 13529, 13506, 13568, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13566, 13580, 13494, 13493, 13492, 13649, 13490, 32355, 13578, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664])).
% 5.43/4.93 tff(32371,plain,(always3(s112) | trans(s199, s163) | trans(s199, s63) | trans(s199, s123) | trans(s199, s118) | trans(s199, s100) | trans(s199, s83) | until2p7(s199) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s36) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s143) | (~xuntil6(s199)) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s144) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s141) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s138) | trans(s199, s152) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s113) | trans(s199, s91) | trans(s199, s164) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s145) | trans(s199, s139) | trans(s199, s124) | trans(s199, s136) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s127) | trans(s199, s114) | trans(s199, s121) | trans(s199, s129) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s125) | trans(s199, s131) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s137) | trans(s199, s69) | trans(s199, s135) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s122) | trans(s199, s11) | trans(s199, s48) | trans(s199, s161) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s120) | trans(s199, s153) | trans(s199, s150) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s156) | trans(s199, s35) | trans(s199, s155) | trans(s199, s21) | trans(s199, s105) | trans(s199, s154) | trans(s199, s84) | trans(s199, s142) | trans(s199, s98) | trans(s199, s66) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s37) | trans(s199, s157) | trans(s199, s79) | trans(s199, s149) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s162) | trans(s199, s119) | trans(s199, s134) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s126) | trans(s199, s46) | trans(s199, s140) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61)), inference(lemma,lemma(discharge,[]))).
% 5.43/4.93 tff(32372,plain,
% 5.43/4.93 (always3(s112)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[32371, 32350, 13665, 24794, 11264, 32347, 32346, 32345, 13656, 13655, 32344, 13662, 13652, 13651, 13650, 32343, 32342, 13647, 13646, 13645, 32341, 32340, 32339, 13639, 31890, 13637, 13636, 13635, 31889, 13633, 13632, 13631, 31888, 31887, 13628, 31886, 13626, 13624, 13622, 31885, 31884, 31848, 31847, 13617, 13616, 13615, 31846, 31845, 31844, 31843, 13609, 13608, 13606, 13605, 31842, 31841, 31840, 31839, 31819, 31818, 13598, 13597, 31817, 31816, 13594, 31815, 31814, 13591, 13590, 31813, 13588, 13587, 13583, 31812, 13581, 31811, 13579, 31810, 13577, 13576, 13575, 13574, 13573, 31809, 13571, 13570, 31808, 13567, 31807, 13565, 13564, 31806, 13562, 31805, 31560, 13559, 31559, 13556, 13555, 13553, 31558, 13551, 31557, 31556, 13548, 31555, 13546, 13545, 13544, 31554, 13541, 13540, 31553, 31550, 31549, 13535, 31548, 13532, 31547, 13530, 31546, 13527, 31545, 31544, 31543, 31542, 31541, 13514, 13512, 31540, 31539, 13508, 31538, 31537, 31533, 31532, 13503, 13502, 13501, 31531, 31530, 31529, 31514, 31513, 31512, 31511, 13493, 31510, 31509, 13490, 31312, 13440, 13438, 13437, 13435, 13434, 24196, 13378, 13664])).
% 5.43/4.93 tff(32373,plain,
% 5.43/4.93 (always3(s113)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5616, 32372])).
% 5.43/4.93 tff(32374,plain,
% 5.43/4.93 (~m_main_v_state(s113, c_busy)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18192, 145, 32373])).
% 5.43/4.93 tff(32375,plain,
% 5.43/4.93 (~node4(s112)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18257, 32374])).
% 5.43/4.93 tff(32376,plain,
% 5.43/4.93 (always3(s114)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5604, 32373])).
% 5.43/4.93 tff(32377,plain,
% 5.43/4.93 (~m_main_v_state(s114, c_busy)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18176, 145, 32376])).
% 5.43/4.93 tff(32378,plain,
% 5.43/4.93 (m_main_v_state(s113, c_ready)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[32205, 32374])).
% 5.43/4.93 tff(32379,plain,
% 5.43/4.93 (~m_main_v_request(s113)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18185, 32378, 32377])).
% 5.43/4.93 tff(32380,plain,
% 5.43/4.93 (~node4(s113)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18153, 63, 32379])).
% 5.43/4.93 tff(32381,plain,
% 5.43/4.93 (~node1(s113)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[32220, 32377])).
% 5.43/4.93 tff(32382,plain,
% 5.43/4.93 (m_main_v_state(s114, c_ready)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[32228, 32377, 32381])).
% 5.43/4.93 tff(32383,plain,
% 5.43/4.93 (~m_main_v_request(s114)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18314, 32382, 31820])).
% 5.43/4.93 tff(32384,plain,
% 5.43/4.93 (~node4(s114)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18305, 63, 32383])).
% 5.43/4.93 tff(32385,plain,
% 5.43/4.93 (node4(s114) | (~until2p7(s114))),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9720, 8293, 31827])).
% 5.43/4.93 tff(32386,plain,
% 5.43/4.93 (~until2p7(s114)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[32385, 32384])).
% 5.43/4.93 tff(32387,plain,
% 5.43/4.93 (~xuntil2p8(s113)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9726, 32386])).
% 5.43/4.93 tff(32388,plain,
% 5.43/4.93 (~until2p7(s113)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9732, 8293, 32387, 32380])).
% 5.43/4.93 tff(32389,plain,
% 5.43/4.93 (~xuntil2p8(s112)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9738, 32388])).
% 5.43/4.93 tff(32390,plain,
% 5.43/4.93 (~until2p7(s112)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9744, 8293, 32389, 32375])).
% 5.43/4.93 tff(32391,plain,
% 5.43/4.93 (~xuntil2p8(s111)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9750, 32390])).
% 5.43/4.93 tff(32392,plain,
% 5.43/4.93 (~until2p7(s111)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[32238, 32391])).
% 5.43/4.93 tff(32393,plain,
% 5.43/4.93 (~xuntil2p8(s110)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9762, 32392])).
% 5.43/4.93 tff(32394,plain,
% 5.43/4.93 (~always3(s102)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5740, 17655])).
% 5.43/4.93 tff(32395,plain,
% 5.43/4.93 (~always3(s101)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5752, 32394])).
% 5.43/4.93 tff(32396,plain,
% 5.43/4.93 (~always3(s100)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5764, 32395])).
% 5.43/4.93 tff(32397,plain,
% 5.43/4.93 (~always3(s99)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5776, 32396])).
% 5.43/4.93 tff(32398,plain,
% 5.43/4.93 (~always3(s98)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5788, 32397])).
% 5.43/4.93 tff(32399,plain,
% 5.43/4.93 (~always3(s97)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5800, 32398])).
% 5.43/4.93 tff(32400,plain,
% 5.43/4.93 (~always3(s96)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5812, 32399])).
% 5.43/4.93 tff(32401,plain,
% 5.43/4.93 (~always3(s95)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5824, 32400])).
% 5.43/4.93 tff(32402,plain,
% 5.43/4.93 (~always3(s94)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5836, 32401])).
% 5.43/4.93 tff(32403,plain,
% 5.43/4.93 (~always3(s93)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5848, 32402])).
% 5.43/4.93 tff(32404,plain,
% 5.43/4.93 (~always3(s92)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5860, 32403])).
% 5.43/4.93 tff(32405,plain,
% 5.43/4.93 (~always3(s91)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5872, 32404])).
% 5.43/4.93 tff(32406,plain,
% 5.43/4.93 (~always3(s90)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5884, 32405])).
% 5.43/4.93 tff(32407,plain,
% 5.43/4.93 (~always3(s89)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5896, 32406])).
% 5.43/4.93 tff(32408,plain,
% 5.43/4.93 (~always3(s88)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5908, 32407])).
% 5.43/4.93 tff(32409,plain,
% 5.43/4.93 (~always3(s87)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5920, 32408])).
% 5.43/4.93 tff(32410,plain,
% 5.43/4.93 (~always3(s86)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5932, 32409])).
% 5.43/4.93 tff(32411,plain,
% 5.43/4.93 (~always3(s85)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5944, 32410])).
% 5.43/4.93 tff(32412,plain,
% 5.43/4.93 (~always3(s84)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5956, 32411])).
% 5.43/4.93 tff(32413,plain,
% 5.43/4.93 (~always3(s83)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5968, 32412])).
% 5.43/4.93 tff(32414,plain,
% 5.43/4.93 (~always3(s82)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5980, 32413])).
% 5.43/4.93 tff(32415,plain,
% 5.43/4.93 (~always3(s81)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5992, 32414])).
% 5.43/4.93 tff(32416,plain,
% 5.43/4.93 (~trans(s199, s96)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24195, 32400])).
% 5.43/4.93 tff(32417,plain,
% 5.43/4.93 (~trans(s199, s93)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24324, 32403])).
% 5.43/4.93 tff(32418,plain,
% 5.43/4.93 (~trans(s199, s82)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24346, 32414])).
% 5.43/4.93 tff(32419,plain,
% 5.43/4.93 (~trans(s199, s95)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24356, 32401])).
% 5.43/4.93 tff(32420,plain,
% 5.43/4.93 (~trans(s199, s88)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24373, 32408])).
% 5.43/4.93 tff(32421,plain,
% 5.43/4.93 (~trans(s199, s98)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24397, 32398])).
% 5.43/4.93 tff(32422,plain,
% 5.43/4.93 (~trans(s199, s84)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24407, 32412])).
% 5.43/4.93 tff(32423,plain,
% 5.43/4.93 (~trans(s199, s105)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24417, 17651])).
% 5.43/4.93 tff(32424,plain,
% 5.43/4.93 (~trans(s199, s94)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24442, 32402])).
% 5.43/4.93 tff(32425,plain,
% 5.43/4.93 (~trans(s199, s97)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24456, 32399])).
% 5.43/4.93 tff(32426,plain,
% 5.43/4.93 (~trans(s199, s104)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24480, 17653])).
% 5.43/4.93 tff(32427,plain,
% 5.43/4.93 (~trans(s199, s90)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24491, 32406])).
% 5.43/4.93 tff(32428,plain,
% 5.43/4.93 (~trans(s199, s85)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24502, 32411])).
% 5.43/4.93 tff(32429,plain,
% 5.43/4.93 (~trans(s199, s102)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24514, 32394])).
% 5.43/4.93 tff(32430,plain,
% 5.43/4.93 (~trans(s199, s99)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24544, 32397])).
% 5.43/4.93 tff(32431,plain,
% 5.43/4.93 (~trans(s199, s87)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24730, 32409])).
% 5.43/4.93 tff(32432,plain,
% 5.43/4.93 (~trans(s199, s86)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24587, 32410])).
% 5.43/4.93 tff(32433,plain,
% 5.43/4.93 (~trans(s199, s101)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24602, 32395])).
% 5.43/4.93 tff(32434,plain,
% 5.43/4.93 (~trans(s199, s91)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24630, 32405])).
% 5.43/4.93 tff(32435,plain,
% 5.43/4.93 (~trans(s199, s89)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24654, 32407])).
% 5.43/4.93 tff(32436,plain,
% 5.43/4.93 (~trans(s199, s92)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24671, 32404])).
% 5.43/4.93 tff(32437,plain,
% 5.43/4.93 (~trans(s199, s103)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24692, 17655])).
% 5.43/4.93 tff(32438,plain,
% 5.43/4.93 (~trans(s199, s100)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24753, 32396])).
% 5.43/4.93 tff(32439,plain,
% 5.43/4.93 (xuntil6(s110)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[17670, 17635, 7086])).
% 5.43/4.93 tff(32440,plain,
% 5.43/4.93 (until5(s111)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[7707, 32439])).
% 5.43/4.93 tff(32441,plain,
% 5.43/4.93 (~trans(s199, s83)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24742, 32413])).
% 5.43/4.93 tff(32442,plain,
% 5.43/4.93 (~trans(s199, s106)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24640, 17548])).
% 5.43/4.93 tff(32443,plain,
% 5.43/4.93 (~trans(s199, s108)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24334, 17539])).
% 5.43/4.93 tff(32444,plain,
% 5.43/4.93 (~trans(s199, s107)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24428, 17540])).
% 5.43/4.93 tff(32445,plain,
% 5.43/4.93 (~m_main_v_request(s151)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[21852, 31251, 31253])).
% 5.43/4.93 tff(32446,plain,
% 5.43/4.93 (~node4(s151)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[21856, 63, 32445])).
% 5.43/4.93 tff(32447,plain,
% 5.43/4.93 (xuntil2p8(s151) | (~until2p7(s151))),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9243, 8293, 32446])).
% 5.43/4.93 tff(32448,plain,
% 5.43/4.93 (~until2p7(s151)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[32447, 31250])).
% 5.43/4.93 tff(32449,plain,
% 5.43/4.93 (~xuntil2p8(s150)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9249, 32448])).
% 5.43/4.93 tff(32450,plain,
% 5.43/4.93 (~m_main_v_request(s150)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[21886, 31252, 31264])).
% 5.43/4.93 tff(32451,plain,
% 5.43/4.93 (~node4(s150)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[21877, 63, 32450])).
% 5.43/4.93 tff(32452,plain,
% 5.43/4.93 (xuntil2p8(s150) | (~until2p7(s150))),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9255, 8293, 32451])).
% 5.43/4.93 tff(32453,plain,
% 5.43/4.93 (~until2p7(s150)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[32452, 32449])).
% 5.43/4.93 tff(32454,plain,
% 5.43/4.93 (~xuntil2p8(s149)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9261, 32453])).
% 5.43/4.93 tff(32455,plain,
% 5.43/4.93 (~until2p7(s149)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31274, 32454])).
% 5.43/4.93 tff(32456,plain,
% 5.43/4.93 (~xuntil2p8(s148)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9273, 32455])).
% 5.43/4.93 tff(32457,plain,
% 5.43/4.93 (~until2p7(s148)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9313, 32456])).
% 5.43/4.93 tff(32458,plain,
% 5.43/4.93 (~xuntil2p8(s147)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9318, 32457])).
% 5.43/4.93 tff(32459,plain,
% 5.43/4.93 (~until2p7(s147)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[23778, 32458])).
% 5.43/4.93 tff(32460,plain,
% 5.43/4.93 (~xuntil2p8(s146)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9331, 32459])).
% 5.43/4.93 tff(32461,plain,
% 5.43/4.93 (~until2p7(s146)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9336, 32460])).
% 5.43/4.93 tff(32462,plain,
% 5.43/4.93 (~xuntil2p8(s145)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9341, 32461])).
% 5.43/4.93 tff(32463,plain,
% 5.43/4.93 (~until2p7(s145)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[23773, 32462])).
% 5.43/4.93 tff(32464,plain,
% 5.43/4.93 (~xuntil2p8(s144)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9354, 32463])).
% 5.43/4.93 tff(32465,plain,
% 5.43/4.93 (~until2p7(s144)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31290, 32464])).
% 5.43/4.93 tff(32466,plain,
% 5.43/4.93 (~xuntil2p8(s143)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9366, 32465])).
% 5.43/4.93 tff(32467,plain,
% 5.43/4.93 (~until2p7(s143)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31298, 32466])).
% 5.43/4.93 tff(32468,plain,
% 5.43/4.93 (~xuntil2p8(s142)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9378, 32467])).
% 5.43/4.93 tff(32469,plain,
% 5.43/4.93 (~until2p7(s142)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31305, 32468])).
% 5.43/4.93 tff(32470,plain,
% 5.43/4.93 (~xuntil2p8(s141)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9390, 32469])).
% 5.43/4.93 tff(32471,plain,
% 5.43/4.93 (~until2p7(s141)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31309, 32470])).
% 5.43/4.93 tff(32472,plain,
% 5.43/4.93 (~xuntil2p8(s140)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9402, 32471])).
% 5.43/4.93 tff(32473,plain,
% 5.43/4.93 (~until2p7(s140)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31318, 32472])).
% 5.43/4.93 tff(32474,plain,
% 5.43/4.93 (~xuntil2p8(s139)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9414, 32473])).
% 5.43/4.93 tff(32475,plain,
% 5.43/4.93 (~until2p7(s139)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31325, 32474])).
% 5.43/4.93 tff(32476,plain,
% 5.43/4.93 (~xuntil2p8(s138)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9426, 32475])).
% 5.43/4.93 tff(32477,plain,
% 5.43/4.93 (~until2p7(s138)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31352, 32476])).
% 5.43/4.93 tff(32478,plain,
% 5.43/4.93 (~xuntil2p8(s137)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9438, 32477])).
% 5.43/4.93 tff(32479,plain,
% 5.43/4.93 (~until2p7(s137)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31359, 32478])).
% 5.43/4.93 tff(32480,plain,
% 5.43/4.93 (~xuntil2p8(s136)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9450, 32479])).
% 5.43/4.93 tff(32481,plain,
% 5.43/4.93 (~until2p7(s136)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31386, 32480])).
% 5.43/4.93 tff(32482,plain,
% 5.43/4.93 (~xuntil2p8(s135)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9462, 32481])).
% 5.43/4.93 tff(32483,plain,
% 5.43/4.93 (~until2p7(s135)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31413, 32482])).
% 5.43/4.93 tff(32484,plain,
% 5.43/4.93 (~xuntil2p8(s134)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9474, 32483])).
% 5.43/4.93 tff(32485,plain,
% 5.43/4.93 (~until2p7(s134)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31440, 32484])).
% 5.43/4.93 tff(32486,plain,
% 5.43/4.93 (~xuntil2p8(s133)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9486, 32485])).
% 5.43/4.93 tff(32487,plain,
% 5.43/4.93 (~until2p7(s133)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31467, 32486])).
% 5.43/4.93 tff(32488,plain,
% 5.43/4.93 (~xuntil2p8(s132)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9498, 32487])).
% 5.43/4.93 tff(32489,plain,
% 5.43/4.93 (~until2p7(s132)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31472, 32488])).
% 5.43/4.93 tff(32490,plain,
% 5.43/4.93 (~xuntil2p8(s131)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9510, 32489])).
% 5.43/4.93 tff(32491,plain,
% 5.43/4.93 (~until2p7(s131)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31479, 32490])).
% 5.43/4.93 tff(32492,plain,
% 5.43/4.93 (~xuntil2p8(s130)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9522, 32491])).
% 5.43/4.93 tff(32493,plain,
% 5.43/4.93 (~until2p7(s130)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31483, 32492])).
% 5.43/4.93 tff(32494,plain,
% 5.43/4.93 (~xuntil2p8(s129)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9534, 32493])).
% 5.43/4.93 tff(32495,plain,
% 5.43/4.93 (~until2p7(s129)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31491, 32494])).
% 5.43/4.93 tff(32496,plain,
% 5.43/4.93 (~xuntil2p8(s128)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9546, 32495])).
% 5.43/4.93 tff(32497,plain,
% 5.43/4.93 (~until2p7(s128)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31495, 32496])).
% 5.43/4.93 tff(32498,plain,
% 5.43/4.93 (~xuntil2p8(s127)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9558, 32497])).
% 5.43/4.93 tff(32499,plain,
% 5.43/4.93 (~until2p7(s127)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31503, 32498])).
% 5.43/4.93 tff(32500,plain,
% 5.43/4.93 (~xuntil2p8(s126)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9570, 32499])).
% 5.43/4.93 tff(32501,plain,
% 5.43/4.93 (~until2p7(s126)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31507, 32500])).
% 5.43/4.93 tff(32502,plain,
% 5.43/4.93 (~xuntil2p8(s125)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9582, 32501])).
% 5.43/4.93 tff(32503,plain,
% 5.43/4.93 (~until2p7(s125)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31585, 32502])).
% 5.43/4.93 tff(32504,plain,
% 5.43/4.93 (~xuntil2p8(s124)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9594, 32503])).
% 5.43/4.93 tff(32505,plain,
% 5.43/4.93 (~until2p7(s124)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31612, 32504])).
% 5.43/4.93 tff(32506,plain,
% 5.43/4.93 (~xuntil2p8(s123)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9606, 32505])).
% 5.43/4.93 tff(32507,plain,
% 5.43/4.93 (~until2p7(s123)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31639, 32506])).
% 5.43/4.93 tff(32508,plain,
% 5.43/4.93 (~xuntil2p8(s122)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9618, 32507])).
% 5.43/4.93 tff(32509,plain,
% 5.43/4.93 (~until2p7(s122)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31665, 32508])).
% 5.43/4.93 tff(32510,plain,
% 5.43/4.93 (~xuntil2p8(s121)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9630, 32509])).
% 5.43/4.93 tff(32511,plain,
% 5.43/4.93 (~until2p7(s121)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31692, 32510])).
% 5.43/4.93 tff(32512,plain,
% 5.43/4.93 (~xuntil2p8(s120)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9642, 32511])).
% 5.43/4.93 tff(32513,plain,
% 5.43/4.93 (~until2p7(s120)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31719, 32512])).
% 5.43/4.93 tff(32514,plain,
% 5.43/4.93 (~xuntil2p8(s119)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9654, 32513])).
% 5.43/4.93 tff(32515,plain,
% 5.43/4.93 (~until2p7(s119)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31745, 32514])).
% 5.43/4.93 tff(32516,plain,
% 5.43/4.93 (~xuntil2p8(s118)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9666, 32515])).
% 5.43/4.93 tff(32517,plain,
% 5.43/4.93 (~until2p7(s118)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31749, 32516])).
% 5.43/4.93 tff(32518,plain,
% 5.43/4.93 (~xuntil2p8(s117)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9678, 32517])).
% 5.43/4.93 tff(32519,plain,
% 5.43/4.93 (~until2p7(s117)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31777, 32518])).
% 5.43/4.93 tff(32520,plain,
% 5.43/4.93 (~xuntil2p8(s116)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9690, 32519])).
% 5.43/4.93 tff(32521,plain,
% 5.43/4.93 (~until2p7(s116)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31803, 32520])).
% 5.43/4.93 tff(32522,plain,
% 5.43/4.93 (~xuntil2p8(s115)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9702, 32521])).
% 5.43/4.93 tff(32523,plain,
% 5.43/4.93 (~until2p7(s115)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31825, 32522])).
% 5.43/4.93 tff(32524,plain,
% 5.43/4.93 (xuntil6(s115)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18322, 18261, 31780])).
% 5.43/4.93 tff(32525,plain,
% 5.43/4.93 (until5(s116)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[7792, 32524])).
% 5.43/4.93 tff(32526,plain,
% 5.43/4.93 (xuntil6(s117)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18455, 32525, 18146])).
% 5.43/4.93 tff(32527,plain,
% 5.43/4.93 (until5(s118)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[7826, 32526])).
% 5.43/4.93 tff(32528,plain,
% 5.43/4.93 (xuntil6(s118) | (~until5(s118))),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[7837, 225, 31748])).
% 5.43/4.93 tff(32529,plain,
% 5.43/4.93 (xuntil6(s118)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[32528, 32527])).
% 5.43/4.93 tff(32530,plain,
% 5.43/4.93 (until5(s119)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[7843, 32529])).
% 5.43/4.93 tff(32531,plain,
% 5.43/4.93 (xuntil6(s119)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18583, 32530, 18146])).
% 5.43/4.93 tff(32532,plain,
% 5.43/4.93 (until5(s120)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[7860, 32531])).
% 5.43/4.93 tff(32533,plain,
% 5.43/4.93 (xuntil6(s122)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18741, 32532, 18146])).
% 5.43/4.93 tff(32534,plain,
% 5.43/4.93 (until5(s123)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[7911, 32533])).
% 5.43/4.93 tff(32535,plain,
% 5.43/4.93 (xuntil6(s132)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[19278, 32534, 18146])).
% 5.43/4.93 tff(32536,plain,
% 5.43/4.93 (until5(s133)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5287, 32535])).
% 5.43/4.93 tff(32537,plain,
% 5.43/4.93 (xuntil6(s134)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[19849, 32534, 18146])).
% 5.43/4.93 tff(32538,plain,
% 5.43/4.93 (until5(s135)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5229, 32537])).
% 5.43/4.93 tff(32539,plain,
% 5.43/4.93 (xuntil6(s137)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[20217, 32538])).
% 5.43/4.93 tff(32540,plain,
% 5.43/4.93 (until5(s138)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5142, 32539])).
% 5.43/4.93 tff(32541,plain,
% 5.43/4.93 (xuntil6(s140)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[20605, 32540])).
% 5.43/4.93 tff(32542,plain,
% 5.43/4.93 (until5(s141)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5055, 32541])).
% 5.43/4.93 tff(32543,plain,
% 5.43/4.93 (xuntil6(s142)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[20967, 32542])).
% 5.43/4.93 tff(32544,plain,
% 5.43/4.93 (until5(s143)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[4996, 32543])).
% 5.43/4.93 tff(32545,plain,
% 5.43/4.93 (xuntil6(s144)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[21025, 32544])).
% 5.43/4.93 tff(32546,plain,
% 5.43/4.93 (until5(s145)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[4942, 32545])).
% 5.43/4.93 tff(32547,plain,
% 5.43/4.93 (xuntil6(s161)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[22024, 32546, 32536])).
% 5.43/4.93 tff(32548,plain,
% 5.43/4.93 (until5(s162)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[4601, 32547])).
% 5.43/4.93 tff(32549,plain,
% 5.43/4.93 (xuntil6(s162)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[4596, 32548])).
% 5.43/4.93 tff(32550,plain,
% 5.43/4.93 (until5(s163)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[4550, 32549])).
% 5.43/4.93 tff(32551,plain,
% 5.43/4.93 (xuntil6(s163)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[22393, 32550])).
% 5.43/4.93 tff(32552,plain,
% 5.43/4.93 (until5(s164)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[4538, 32551])).
% 5.43/4.93 tff(32553,plain,
% 5.43/4.93 (xuntil6(s164)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[22396, 32552])).
% 5.43/4.93 tff(32554,plain,
% 5.43/4.93 (until5(s165)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[4468, 32553])).
% 5.43/4.93 tff(32555,plain,
% 5.43/4.93 (xuntil6(s167)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[22443, 32554])).
% 5.43/4.93 tff(32556,plain,
% 5.43/4.93 (until5(s168)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[4514, 32555])).
% 5.43/4.93 tff(32557,plain,
% 5.43/4.93 (xuntil6(s168)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[22446, 32556])).
% 5.43/4.93 tff(32558,plain,
% 5.43/4.93 (until5(s169)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[4531, 32557])).
% 5.43/4.93 tff(32559,plain,
% 5.43/4.93 (xuntil6(s173)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[22988, 32558, 32552])).
% 5.43/4.93 tff(32560,plain,
% 5.43/4.93 (until5(s174)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[4356, 32559])).
% 5.43/4.93 tff(32561,plain,
% 5.43/4.93 (xuntil6(s174)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[23021, 32560])).
% 5.43/4.93 tff(32562,plain,
% 5.43/4.93 (until5(s175)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[8003, 32561])).
% 5.43/4.93 tff(32563,plain,
% 5.43/4.93 (xuntil6(s181)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[23201, 32562])).
% 5.43/4.93 tff(32564,plain,
% 5.43/4.93 (until5(s182)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[8126, 32563])).
% 5.43/4.93 tff(32565,plain,
% 5.43/4.93 (xuntil6(s182)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[8172, 32564])).
% 5.43/4.93 tff(32566,plain,
% 5.43/4.93 (until5(s183)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[8177, 32565])).
% 5.43/4.93 tff(32567,plain,
% 5.43/4.93 (xuntil6(s183)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[23255, 32566])).
% 5.43/4.93 tff(32568,plain,
% 5.43/4.93 (until5(s184)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[8189, 32567])).
% 5.43/4.93 tff(32569,plain,
% 5.43/4.93 (xuntil6(s184)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[23258, 32568])).
% 5.43/4.93 tff(32570,plain,
% 5.43/4.93 (until5(s185)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[8244, 32569])).
% 5.43/4.93 tff(32571,plain,
% 5.43/4.93 (xuntil6(s185)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[23303, 32570])).
% 5.43/4.93 tff(32572,plain,
% 5.43/4.93 (until5(s186)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[8256, 32571])).
% 5.43/4.93 tff(32573,plain,
% 5.43/4.93 (xuntil6(s186)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[23306, 32572])).
% 5.43/4.93 tff(32574,plain,
% 5.43/4.93 (until5(s187)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[8213, 32573])).
% 5.43/4.93 tff(32575,plain,
% 5.43/4.93 (xuntil6(s187)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[23348, 32574])).
% 5.43/4.93 tff(32576,plain,
% 5.43/4.93 (until5(s188)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[8263, 32575])).
% 5.43/4.93 tff(32577,plain,
% 5.43/4.93 (xuntil6(s188)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[3796, 32576])).
% 5.43/4.93 tff(32578,plain,
% 5.43/4.93 (until5(s189)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[3742, 32577])).
% 5.43/4.93 tff(32579,plain,
% 5.43/4.93 (xuntil6(s195)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[23477, 32578])).
% 5.43/4.93 tff(32580,plain,
% 5.43/4.93 (until5(s196)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[3479, 32579])).
% 5.43/4.93 tff(32581,plain,
% 5.43/4.93 (xuntil6(s196)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[3525, 32580])).
% 5.43/4.93 tff(32582,plain,
% 5.43/4.93 (until5(s197)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[3530, 32581])).
% 5.43/4.93 tff(32583,plain,
% 5.43/4.93 (xuntil6(s197)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[23482, 32582])).
% 5.43/4.93 tff(32584,plain,
% 5.43/4.93 (until5(s198)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[3543, 32583])).
% 5.43/4.93 tff(32585,plain,
% 5.43/4.93 (xuntil6(s198)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[3589, 32584])).
% 5.43/4.93 tff(32586,plain,
% 5.43/4.93 (until5(s199)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[3594, 32585])).
% 5.43/4.93 tff(32587,plain,
% 5.43/4.93 (xuntil6(s199)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[23489, 32586, 18474])).
% 5.43/4.93 tff(32588,plain,
% 5.43/4.93 (~trans(s199, s115)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[12879, 32587, 32523])).
% 5.43/4.93 tff(32589,plain,
% 5.43/4.93 (~trans(s199, s140)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[28064, 32587, 32472])).
% 5.43/4.93 tff(32590,plain,
% 5.43/4.93 (~trans(s199, s126)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[13187, 32587, 32501])).
% 5.43/4.93 tff(32591,plain,
% 5.43/4.93 (~trans(s199, s148)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[11460, 32587, 32457])).
% 5.43/4.93 tff(32592,plain,
% 5.43/4.93 (~trans(s199, s146)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[11482, 32587, 32461])).
% 5.43/4.93 tff(32593,plain,
% 5.43/4.93 (~trans(s199, s134)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[28123, 32587, 32472])).
% 5.43/4.93 tff(32594,plain,
% 5.43/4.93 (~trans(s199, s119)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[29483, 32587, 31498, 32498])).
% 5.43/4.93 tff(32595,plain,
% 5.43/4.93 (~trans(s199, s162)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[11515, 32587, 31126])).
% 5.43/4.93 tff(32596,plain,
% 5.43/4.93 (~trans(s199, s130)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[11537, 32587, 32493])).
% 5.43/4.93 tff(32597,plain,
% 5.43/4.93 (~trans(s199, s149)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[12296, 32587, 32455])).
% 5.43/4.93 tff(32598,plain,
% 5.43/4.93 (~trans(s199, s157)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[11867, 32587, 31177])).
% 5.43/4.93 tff(32599,plain,
% 5.43/4.93 (~trans(s199, s128)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[11658, 32587, 32497])).
% 5.43/4.93 tff(32600,plain,
% 5.43/4.93 (~trans(s199, s159)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[11669, 32587, 31166])).
% 5.43/4.93 tff(32601,plain,
% 5.43/4.93 (~trans(s199, s142)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[11735, 32587, 32469])).
% 5.43/4.93 tff(32602,plain,
% 5.43/4.93 (~trans(s199, s154)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[13319, 32587, 31245])).
% 5.43/4.93 tff(32603,plain,
% 5.43/4.93 (~trans(s199, s155)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[27463, 32587, 31179, 31185])).
% 5.43/4.93 tff(32604,plain,
% 5.43/4.93 (~trans(s199, s156)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[11779, 32587, 31184])).
% 5.43/4.93 tff(32605,plain,
% 5.43/4.93 (~trans(s199, s150)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[27430, 32587, 31172, 31178])).
% 5.43/4.93 tff(32606,plain,
% 5.43/4.93 (~trans(s199, s153)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[27336, 32587, 31171])).
% 5.43/4.93 tff(32607,plain,
% 5.43/4.93 (~trans(s199, s120)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[29709, 32587, 31551, 32502])).
% 5.43/4.93 tff(32608,plain,
% 5.43/4.93 (~trans(s199, s132)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[12175, 32587, 32489])).
% 5.43/4.93 tff(32609,plain,
% 5.43/4.93 (~trans(s199, s158)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[12208, 32587, 31170])).
% 5.43/4.93 tff(32610,plain,
% 5.43/4.93 (~trans(s199, s116)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[12219, 32587, 32521])).
% 5.43/4.93 tff(32611,plain,
% 5.43/4.93 (~trans(s199, s161)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[27005, 32587, 31127])).
% 5.43/4.93 tff(32612,plain,
% 5.43/4.93 (~trans(s199, s122)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[29389, 32587, 31486, 32494])).
% 5.43/4.93 tff(32613,plain,
% 5.43/4.93 (~trans(s199, s135)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[28192, 32587, 32472])).
% 5.43/4.93 tff(32614,plain,
% 5.43/4.93 (~trans(s199, s137)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[28225, 32587, 32472])).
% 5.43/4.93 tff(32615,plain,
% 5.43/4.93 (~trans(s199, s131)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[29043, 32587, 31444, 32490])).
% 5.43/4.93 tff(32616,plain,
% 5.43/4.93 (~trans(s199, s125)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[29092, 32587, 31444, 32490])).
% 5.43/4.93 tff(32617,plain,
% 5.43/4.93 (~trans(s199, s160)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[27019, 32587, 31127])).
% 5.43/4.93 tff(32618,plain,
% 5.43/4.93 (~trans(s199, s151)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[27093, 32587, 31127])).
% 5.43/4.93 tff(32619,plain,
% 5.43/4.93 (~trans(s199, s129)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[29116, 32587, 31444, 32490])).
% 5.43/4.93 tff(32620,plain,
% 5.43/4.93 (~trans(s199, s121)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[29197, 32587, 31444, 32490])).
% 5.43/4.93 tff(32621,plain,
% 5.43/4.93 (~xuntil2p8(s114)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9714, 32523])).
% 5.43/4.93 tff(32622,plain,
% 5.43/4.93 (~trans(s199, s114)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31838, 32587, 32621, 31820])).
% 5.43/4.93 tff(32623,plain,
% 5.43/4.93 (~trans(s199, s127)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[29232, 32587, 31444, 32490])).
% 5.43/4.93 tff(32624,plain,
% 5.43/4.93 (~trans(s199, s136)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[28269, 32587, 32472])).
% 5.43/4.93 tff(32625,plain,
% 5.43/4.93 (~trans(s199, s124)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[29291, 32587, 31444, 32490])).
% 5.43/4.93 tff(32626,plain,
% 5.43/4.93 (~trans(s199, s139)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[11416, 32587, 32475])).
% 5.43/4.93 tff(32627,plain,
% 5.43/4.93 (~trans(s199, s145)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[27196, 32587, 31127])).
% 5.43/4.93 tff(32628,plain,
% 5.43/4.93 (~trans(s199, s164)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[26473, 32587, 31009, 31015])).
% 5.43/4.93 tff(32629,plain,
% 5.43/4.93 (~trans(s199, s113)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31883, 32587, 31820, 32621])).
% 5.43/4.93 tff(32630,plain,
% 5.43/4.93 (~trans(s199, s152)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[27262, 32587, 31127])).
% 5.43/4.93 tff(32631,plain,
% 5.43/4.93 (~trans(s199, s138)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[28307, 32587, 32472])).
% 5.43/4.93 tff(32632,plain,
% 5.43/4.93 (~trans(s199, s141)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[13308, 32587, 32471])).
% 5.43/4.93 tff(32633,plain,
% 5.43/4.93 (~trans(s199, s144)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[12241, 32587, 32465])).
% 5.43/4.93 tff(32634,plain,
% 5.43/4.93 (~trans(s199, s143)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[27763, 32587, 32464])).
% 5.43/4.93 tff(32635,plain,
% 5.43/4.93 (~trans(s199, s117)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24110, 32527, 18474, 18146, 30983])).
% 5.43/4.93 tff(32636,plain,
% 5.43/4.93 (~trans(s199, s118)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[11977, 32587, 32517])).
% 5.43/4.93 tff(32637,plain,
% 5.43/4.93 (~trans(s199, s123)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[11449, 32587, 32507])).
% 5.43/4.93 tff(32638,plain,
% 5.43/4.93 (~trans(s199, s163)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[12791, 32587, 31124])).
% 5.43/4.93 tff(32639,plain,
% 5.43/4.93 (always3(s112)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[32371, 32638, 13665, 32637, 32636, 13659, 13658, 24794, 32635, 13655, 13654, 13662, 13652, 13651, 13650, 32634, 32587, 13647, 13646, 13645, 32633, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 32632, 13633, 13632, 13631, 32631, 32630, 13628, 13627, 13626, 13624, 13622, 32588, 32629, 13619, 32628, 13617, 13616, 13615, 32627, 32626, 32625, 32624, 13609, 13608, 13606, 13605, 13604, 13603, 32623, 32622, 32620, 32619, 13598, 13597, 32618, 32617, 13594, 32616, 32615, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 32614, 13579, 32613, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 32612, 13565, 13564, 32611, 13562, 32610, 32609, 13559, 32608, 13556, 13555, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13542, 13541, 13540, 32607, 32606, 32605, 13535, 13534, 13532, 32604, 13530, 32603, 13527, 13525, 32602, 13518, 32601, 13515, 13514, 13512, 32600, 32599, 13508, 32598, 13506, 32597, 13504, 13503, 13502, 13501, 13500, 32596, 13498, 32595, 32594, 32593, 32592, 13493, 32591, 32590, 13490, 32589, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664])).
% 5.43/4.93 tff(32640,plain,
% 5.43/4.93 (always3(s113)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5616, 32639])).
% 5.43/4.93 tff(32641,plain,
% 5.43/4.93 (~m_main_v_state(s113, c_busy)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18192, 145, 32640])).
% 5.43/4.93 tff(32642,plain,
% 5.43/4.93 (~node4(s112)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18257, 32641])).
% 5.43/4.93 tff(32643,plain,
% 5.43/4.93 (always3(s114)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[5604, 32640])).
% 5.43/4.93 tff(32644,plain,
% 5.43/4.93 (~m_main_v_state(s114, c_busy)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18176, 145, 32643])).
% 5.43/4.93 tff(32645,plain,
% 5.43/4.93 (m_main_v_state(s114, c_ready)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18320, 188, 32644])).
% 5.43/4.93 tff(32646,plain,
% 5.43/4.93 (~m_main_v_request(s114)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18314, 32645, 31820])).
% 5.43/4.93 tff(32647,plain,
% 5.43/4.93 (~node4(s114)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18305, 63, 32646])).
% 5.43/4.93 tff(32648,plain,
% 5.43/4.93 (node4(s114) | (~until2p7(s114))),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9720, 8293, 32621])).
% 5.43/4.93 tff(32649,plain,
% 5.43/4.93 (~until2p7(s114)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[32648, 32647])).
% 5.43/4.93 tff(32650,plain,
% 5.43/4.93 (~xuntil2p8(s113)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9726, 32649])).
% 5.43/4.93 tff(32651,plain,
% 5.43/4.93 (~node1(s112)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31863, 32641])).
% 5.43/4.93 tff(32652,plain,
% 5.43/4.93 (m_main_v_state(s113, c_ready)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[31871, 32651, 32641])).
% 5.43/4.93 tff(32653,plain,
% 5.43/4.93 (~m_main_v_request(s113)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18185, 32652, 32644])).
% 5.43/4.93 tff(32654,plain,
% 5.43/4.93 (~node4(s113)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[18153, 63, 32653])).
% 5.43/4.93 tff(32655,plain,
% 5.43/4.93 (xuntil2p8(s113) | (~until2p7(s113))),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9732, 8293, 32654])).
% 5.43/4.93 tff(32656,plain,
% 5.43/4.93 (~until2p7(s113)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[32655, 32650])).
% 5.43/4.93 tff(32657,plain,
% 5.43/4.93 (~xuntil2p8(s112)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9738, 32656])).
% 5.43/4.93 tff(32658,plain,
% 5.43/4.93 (~until2p7(s112)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9744, 8293, 32657, 32642])).
% 5.43/4.93 tff(32659,plain,
% 5.43/4.93 (~xuntil2p8(s111)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[9750, 32658])).
% 5.43/4.93 tff(32660,plain,
% 5.43/4.93 (~until2p7(s111)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[32238, 32659])).
% 5.43/4.93 tff(32661,plain,
% 5.43/4.93 (~trans(s199, s111)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[13132, 32660, 32587])).
% 5.43/4.93 tff(32662,plain,
% 5.43/4.93 (~trans(s199, s112)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[12021, 32658, 32587])).
% 5.43/4.93 tff(32663,plain,
% 5.43/4.93 (~trans(s199, s110)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24525, 17635])).
% 5.43/4.93 tff(32664,plain,
% 5.43/4.93 (~trans(s199, s109)),
% 5.43/4.93 inference(unit_resolution,[status(thm)],[24717, 17636])).
% 5.43/4.93 tff(32665,plain,
% 5.43/4.93 (trans(s199, s117) | trans(s199, s63) | trans(s199, s36) | trans(s199, s100) | trans(s199, s83) | trans(s199, s50) | trans(s199, s87) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s113) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s46) | trans(s199, s108) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | node4(s199) | (~until5(s111)) | (~until5(s118))),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[30318, 16109])).
% 5.46/4.94 tff(32666,plain,
% 5.46/4.94 ($false),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32665, 32664, 32663, 18474, 13659, 13658, 13654, 13655, 13598, 13651, 18146, 13647, 13646, 13645, 32527, 13643, 13641, 13639, 13638, 13637, 13650, 13635, 13633, 13632, 13631, 13628, 13627, 13626, 13624, 13622, 13662, 32629, 13619, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13604, 13603, 32635, 13636, 13597, 13594, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13665, 13559, 13556, 13555, 32622, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 32662, 13542, 13541, 13540, 13535, 13534, 13532, 13530, 13527, 13526, 13525, 13518, 13515, 13514, 32610, 13512, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 13489, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13620, 32661, 13652, 32588])).
% 5.46/4.94 tff(32667,plain,(always3(s110) | node4(s199) | trans(s199, s100) | trans(s199, s83) | trans(s199, s87) | trans(s199, s50) | trans(s199, s0) | trans(s199, s39) | (~until5(s111)) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s13) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s36) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s9) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s63) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s30) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s46) | trans(s199, s108) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | trans(s199, s106) | trans(s199, s2)), inference(lemma,lemma(discharge,[]))).
% 5.46/4.94 tff(32668,plain,
% 5.46/4.94 (always3(s110)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32667, 32444, 13659, 13658, 13654, 13655, 13598, 13651, 18146, 13647, 13646, 13645, 13643, 13641, 13639, 13638, 13637, 13650, 13635, 13633, 13632, 13631, 13628, 13627, 13626, 13624, 13622, 13662, 13619, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13604, 13603, 13636, 13597, 13594, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13665, 13559, 13556, 13555, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13542, 13541, 13540, 13535, 13534, 13532, 13530, 13527, 18474, 13525, 13518, 13515, 13514, 13512, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 32443, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 32442, 13652])).
% 5.46/4.94 tff(32669,plain,
% 5.46/4.94 (~m_main_v_state(s110, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17701, 145, 32668])).
% 5.46/4.94 tff(32670,plain,
% 5.46/4.94 (~node4(s109)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17734, 32669])).
% 5.46/4.94 tff(32671,plain,
% 5.46/4.94 (always3(s111)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5640, 32668])).
% 5.46/4.94 tff(32672,plain,
% 5.46/4.94 (~m_main_v_state(s111, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17678, 145, 32671])).
% 5.46/4.94 tff(32673,plain,
% 5.46/4.94 (m_main_v_state(s110, c_ready)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17705, 188, 32669])).
% 5.46/4.94 tff(32674,plain,
% 5.46/4.94 (~m_main_v_request(s110)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17694, 32673, 32672])).
% 5.46/4.94 tff(32675,plain,
% 5.46/4.94 (~node4(s110)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17685, 63, 32674])).
% 5.46/4.94 tff(32676,plain,
% 5.46/4.94 (~xuntil2p8(s110)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9762, 32660])).
% 5.46/4.94 tff(32677,plain,
% 5.46/4.94 (node4(s110) | (~until2p7(s110))),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9768, 8293, 32676])).
% 5.46/4.94 tff(32678,plain,
% 5.46/4.94 (~until2p7(s110)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32677, 32675])).
% 5.46/4.94 tff(32679,plain,
% 5.46/4.94 (~xuntil2p8(s109)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9774, 32678])).
% 5.46/4.94 tff(32680,plain,
% 5.46/4.94 (~trans(s199, s110)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[12142, 32678, 32587])).
% 5.46/4.94 tff(32681,plain,
% 5.46/4.94 (trans(s199, s109)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32665, 32680, 18474, 13659, 13658, 13654, 13655, 13598, 13651, 18146, 13647, 13646, 13645, 32527, 13643, 13641, 13639, 13638, 13637, 13650, 13635, 13633, 13632, 13631, 13628, 13627, 13626, 13624, 13622, 13662, 32629, 13619, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13604, 13603, 32635, 13636, 13597, 13594, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13665, 13559, 13556, 13555, 32622, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 32662, 13542, 13541, 13540, 13535, 13534, 13532, 13530, 13527, 32444, 13525, 13518, 13515, 13514, 32610, 13512, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 32443, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 32442, 32661, 13652, 32588])).
% 5.46/4.94 tff(32682,plain,
% 5.46/4.94 (until2p7(s109)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[13176, 32681, 32587])).
% 5.46/4.94 tff(32683,plain,
% 5.46/4.94 ($false),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9780, 8293, 32682, 32679, 32670])).
% 5.46/4.94 tff(32684,plain,(always3(s108) | node4(s199) | trans(s199, s100) | trans(s199, s83) | trans(s199, s87) | trans(s199, s50) | trans(s199, s0) | trans(s199, s39) | (~until5(s111)) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s13) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s36) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s9) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s63) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s30) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s46) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | trans(s199, s2)), inference(lemma,lemma(discharge,[]))).
% 5.46/4.94 tff(32685,plain,
% 5.46/4.94 (trans(s199, s81)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32684, 32441, 17644, 32440, 32438, 13655, 13598, 13651, 18474, 13647, 13646, 13645, 32437, 13641, 13639, 32436, 13637, 13650, 13635, 13633, 13632, 13631, 13628, 32435, 13626, 13624, 13622, 13662, 32434, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13604, 32433, 13636, 13597, 13594, 13591, 13590, 32432, 13588, 13587, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 32431, 13571, 13570, 32430, 13567, 13565, 13564, 13562, 13665, 13559, 13556, 13555, 13553, 32429, 13551, 32428, 32427, 13548, 32426, 13546, 13545, 13544, 32425, 13541, 13540, 13535, 32424, 13532, 13530, 13527, 32423, 32422, 32421, 13514, 13512, 13508, 13506, 32420, 13503, 13502, 13501, 32419, 32418, 13493, 13490, 32417, 13438, 13437, 13435, 13434, 32416, 13378, 13664, 13652])).
% 5.46/4.94 tff(32686,plain,
% 5.46/4.94 ($false),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[24556, 32685, 32415])).
% 5.46/4.94 tff(32687,plain,(always3(s110) | trans(s199, s50) | trans(s199, s0) | trans(s199, s39) | node4(s199) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s78) | trans(s199, s49) | trans(s199, s73) | trans(s199, s13) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s36) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s9) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s4) | trans(s199, s45) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s63) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s27) | trans(s199, s42) | trans(s199, s75) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s66) | trans(s199, s30) | trans(s199, s37) | trans(s199, s79) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s38) | trans(s199, s46) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s5) | trans(s199, s61) | trans(s199, s2) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.94 tff(32688,plain,
% 5.46/4.94 (always3(s110)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32687, 32350, 13598, 13651, 13655, 13647, 13646, 13645, 18474, 13639, 13637, 13650, 13635, 13633, 13632, 13631, 13628, 13626, 13624, 13622, 13662, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 32339, 13636, 13597, 13594, 13591, 13590, 13588, 13587, 13583, 31812, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13571, 13570, 13567, 13565, 13564, 13562, 13665, 13559, 13556, 13555, 13553, 13551, 13548, 13546, 13545, 13544, 13541, 13540, 13535, 13532, 13530, 13527, 13514, 13512, 13508, 31537, 13503, 13502, 13501, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 13652, 7086])).
% 5.46/4.94 tff(32689,plain,
% 5.46/4.94 (always3(s111)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5640, 32688])).
% 5.46/4.94 tff(32690,plain,
% 5.46/4.94 (~m_main_v_state(s111, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17678, 145, 32689])).
% 5.46/4.94 tff(32691,plain,
% 5.46/4.94 (~m_main_v_state(s110, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17701, 145, 32688])).
% 5.46/4.94 tff(32692,plain,
% 5.46/4.94 (m_main_v_state(s110, c_ready)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32245, 32691])).
% 5.46/4.94 tff(32693,plain,
% 5.46/4.94 (~m_main_v_request(s110)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17694, 32692, 32690])).
% 5.46/4.94 tff(32694,plain,
% 5.46/4.94 (~node4(s110)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17685, 63, 32693])).
% 5.46/4.94 tff(32695,plain,
% 5.46/4.94 (xuntil2p8(s110) | (~until2p7(s110))),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9768, 8293, 32694])).
% 5.46/4.94 tff(32696,plain,
% 5.46/4.94 (~until2p7(s110)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32695, 32393])).
% 5.46/4.94 tff(32697,plain,
% 5.46/4.94 (~xuntil2p8(s109)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9774, 32696])).
% 5.46/4.94 tff(32698,plain,
% 5.46/4.94 (~node4(s109)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17734, 32691])).
% 5.46/4.94 tff(32699,plain,
% 5.46/4.94 (xuntil2p8(s109) | (~until2p7(s109))),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9780, 8293, 32698])).
% 5.46/4.94 tff(32700,plain,
% 5.46/4.94 (~until2p7(s109)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32699, 32697])).
% 5.46/4.94 tff(32701,plain,
% 5.46/4.94 (~trans(s199, s111)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[13132, 32392, 11264])).
% 5.46/4.94 tff(32702,plain,
% 5.46/4.94 (~trans(s199, s112)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[12021, 32390, 11264])).
% 5.46/4.94 tff(32703,plain,
% 5.46/4.94 (~trans(s199, s110)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[12142, 32696, 11264])).
% 5.46/4.94 tff(32704,plain,
% 5.46/4.94 (always3(s110)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32687, 13641, 13598, 13651, 13655, 13647, 13646, 13645, 18474, 13639, 13637, 13650, 13635, 13633, 13632, 13631, 13628, 13626, 13624, 13622, 13662, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13604, 13636, 13597, 13594, 13591, 13590, 13588, 13587, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13571, 13570, 13567, 13565, 13564, 13562, 13665, 13559, 13556, 13555, 13553, 13551, 13548, 13546, 13545, 13544, 13541, 13540, 13535, 13532, 13530, 13527, 13514, 13512, 13508, 13506, 13503, 13502, 13501, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 13652, 7086])).
% 5.46/4.94 tff(32705,plain,
% 5.46/4.94 (~m_main_v_state(s110, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17701, 145, 32704])).
% 5.46/4.94 tff(32706,plain,
% 5.46/4.94 (~node4(s109)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17734, 32705])).
% 5.46/4.94 tff(32707,plain,
% 5.46/4.94 (always3(s111)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5640, 32704])).
% 5.46/4.94 tff(32708,plain,
% 5.46/4.94 (always3(s112)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5628, 32707])).
% 5.46/4.94 tff(32709,plain,
% 5.46/4.94 (always3(s113)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5616, 32708])).
% 5.46/4.94 tff(32710,plain,
% 5.46/4.94 (~m_main_v_state(s113, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[18192, 145, 32709])).
% 5.46/4.94 tff(32711,plain,
% 5.46/4.94 (~node4(s112)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[18257, 32710])).
% 5.46/4.94 tff(32712,plain,
% 5.46/4.94 (always3(s114)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5604, 32709])).
% 5.46/4.94 tff(32713,plain,
% 5.46/4.94 (~m_main_v_state(s114, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[18176, 145, 32712])).
% 5.46/4.94 tff(32714,plain,
% 5.46/4.94 (m_main_v_state(s113, c_ready)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32205, 32710])).
% 5.46/4.94 tff(32715,plain,
% 5.46/4.94 (~m_main_v_request(s113)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[18185, 32714, 32713])).
% 5.46/4.94 tff(32716,plain,
% 5.46/4.94 (~node4(s113)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[18153, 63, 32715])).
% 5.46/4.94 tff(32717,plain,
% 5.46/4.94 (~node1(s113)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32220, 32713])).
% 5.46/4.94 tff(32718,plain,
% 5.46/4.94 (m_main_v_state(s114, c_ready)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32228, 32713, 32717])).
% 5.46/4.94 tff(32719,plain,
% 5.46/4.94 (~m_main_v_request(s114)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[18314, 32718, 31820])).
% 5.46/4.94 tff(32720,plain,
% 5.46/4.94 (~node4(s114)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[18305, 63, 32719])).
% 5.46/4.94 tff(32721,plain,
% 5.46/4.94 (~until2p7(s114)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32385, 32720])).
% 5.46/4.94 tff(32722,plain,
% 5.46/4.94 (~xuntil2p8(s113)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9726, 32721])).
% 5.46/4.94 tff(32723,plain,
% 5.46/4.94 (~until2p7(s113)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9732, 8293, 32722, 32716])).
% 5.46/4.94 tff(32724,plain,
% 5.46/4.94 (~xuntil2p8(s112)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9738, 32723])).
% 5.46/4.94 tff(32725,plain,
% 5.46/4.94 (~until2p7(s112)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9744, 8293, 32724, 32711])).
% 5.46/4.94 tff(32726,plain,
% 5.46/4.94 (~xuntil2p8(s111)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9750, 32725])).
% 5.46/4.94 tff(32727,plain,
% 5.46/4.94 (~until2p7(s111)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32238, 32726])).
% 5.46/4.94 tff(32728,plain,
% 5.46/4.94 (~xuntil2p8(s110)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9762, 32727])).
% 5.46/4.94 tff(32729,plain,
% 5.46/4.94 (~m_main_v_state(s111, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17678, 145, 32707])).
% 5.46/4.94 tff(32730,plain,
% 5.46/4.94 (m_main_v_state(s110, c_ready)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32245, 32705])).
% 5.46/4.94 tff(32731,plain,
% 5.46/4.94 (~m_main_v_request(s110)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17694, 32730, 32729])).
% 5.46/4.94 tff(32732,plain,
% 5.46/4.94 (~node4(s110)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17685, 63, 32731])).
% 5.46/4.94 tff(32733,plain,
% 5.46/4.94 (xuntil2p8(s110) | (~until2p7(s110))),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9768, 8293, 32732])).
% 5.46/4.94 tff(32734,plain,
% 5.46/4.94 (~until2p7(s110)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32733, 32728])).
% 5.46/4.94 tff(32735,plain,
% 5.46/4.94 (~xuntil2p8(s109)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9774, 32734])).
% 5.46/4.94 tff(32736,plain,
% 5.46/4.94 (~until2p7(s109)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9780, 8293, 32735, 32706])).
% 5.46/4.94 tff(32737,plain,
% 5.46/4.94 (~xuntil2p8(s108)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9786, 32736])).
% 5.46/4.94 tff(32738,plain,
% 5.46/4.94 (~trans(s199, s168)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[13088, 31102, 11264])).
% 5.46/4.94 tff(32739,plain,
% 5.46/4.94 (~trans(s199, s167)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[12967, 31110, 11264])).
% 5.46/4.94 tff(32740,plain,
% 5.46/4.94 (~trans(s199, s182)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[11394, 30987, 11264])).
% 5.46/4.94 tff(32741,plain,
% 5.46/4.94 (~trans(s199, s183)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[11405, 30985, 11264])).
% 5.46/4.94 tff(32742,plain,
% 5.46/4.94 (~trans(s199, s169)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[12846, 31100, 11264])).
% 5.46/4.94 tff(32743,plain,
% 5.46/4.94 (~trans(s199, s174)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[11724, 31028, 11264])).
% 5.46/4.94 tff(32744,plain,
% 5.46/4.94 (~trans(s199, s181)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[11768, 30989, 11264])).
% 5.46/4.94 tff(32745,plain,
% 5.46/4.94 (~trans(s199, s177)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[11790, 31006, 11264])).
% 5.46/4.94 tff(32746,plain,
% 5.46/4.94 (~trans(s199, s179)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[11801, 31002, 11264])).
% 5.46/4.94 tff(32747,plain,
% 5.46/4.94 (~trans(s199, s180)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[11812, 30991, 11264])).
% 5.46/4.94 tff(32748,plain,
% 5.46/4.94 (~trans(s199, s170)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[12494, 31095, 11264])).
% 5.46/4.94 tff(32749,plain,
% 5.46/4.94 (~trans(s199, s171)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[26780, 31043, 11264, 31037])).
% 5.46/4.94 tff(32750,plain,
% 5.46/4.94 (~trans(s199, s172)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[12725, 31042, 11264])).
% 5.46/4.94 tff(32751,plain,
% 5.46/4.94 (~trans(s199, s175)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[13352, 31021, 11264])).
% 5.46/4.94 tff(32752,plain,
% 5.46/4.94 (~trans(s199, s173)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[26749, 31029, 11264, 31023])).
% 5.46/4.94 tff(32753,plain,
% 5.46/4.94 (~trans(s199, s178)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[26174, 30988, 11264])).
% 5.46/4.94 tff(32754,plain,
% 5.46/4.94 (~trans(s199, s166)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[13022, 31112, 11264])).
% 5.46/4.94 tff(32755,plain,
% 5.46/4.94 (~trans(s199, s165)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[11647, 31114, 11264])).
% 5.46/4.94 tff(32756,plain,
% 5.46/4.94 (~trans(s199, s147)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[26689, 31015, 11264, 31009])).
% 5.46/4.94 tff(32757,plain,
% 5.46/4.94 (always3(s93)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[24324, 11364])).
% 5.46/4.94 tff(32758,plain,
% 5.46/4.94 (always3(s94)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5848, 32757])).
% 5.46/4.94 tff(32759,plain,
% 5.46/4.94 (always3(s95)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5836, 32758])).
% 5.46/4.94 tff(32760,plain,
% 5.46/4.94 (always3(s96)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5824, 32759])).
% 5.46/4.94 tff(32761,plain,
% 5.46/4.94 (always3(s97)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5812, 32760])).
% 5.46/4.94 tff(32762,plain,
% 5.46/4.94 (always3(s98)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5800, 32761])).
% 5.46/4.94 tff(32763,plain,
% 5.46/4.94 (always3(s99)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5788, 32762])).
% 5.46/4.94 tff(32764,plain,
% 5.46/4.94 (~m_main_v_state(s99, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9958, 145, 32763])).
% 5.46/4.94 tff(32765,plain,
% 5.46/4.94 (~m_main_v_state(s98, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[10000, 145, 32762])).
% 5.46/4.94 tff(32766,plain,
% 5.46/4.94 (m_main_v_state(s98, c_ready)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17192, 188, 32765])).
% 5.46/4.94 tff(32767,plain,
% 5.46/4.94 (~m_main_v_request(s98)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17201, 32766, 32764])).
% 5.46/4.94 tff(32768,plain,
% 5.46/4.94 (~node4(s98)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17205, 63, 32767])).
% 5.46/4.94 tff(32769,plain,
% 5.46/4.94 (~m_main_v_state(s97, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[10016, 145, 32761])).
% 5.46/4.94 tff(32770,plain,
% 5.46/4.94 (~m_main_v_state(s96, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17229, 145, 32760])).
% 5.46/4.94 tff(32771,plain,
% 5.46/4.94 (m_main_v_state(s96, c_ready)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17233, 188, 32770])).
% 5.46/4.94 tff(32772,plain,
% 5.46/4.94 (~m_main_v_request(s96)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17242, 32771, 32769])).
% 5.46/4.94 tff(32773,plain,
% 5.46/4.94 (~node4(s96)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17246, 63, 32772])).
% 5.46/4.94 tff(32774,plain,
% 5.46/4.94 (~m_main_v_state(s95, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17274, 145, 32759])).
% 5.46/4.94 tff(32775,plain,
% 5.46/4.94 (m_main_v_state(s95, c_ready)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32166, 32774])).
% 5.46/4.94 tff(32776,plain,
% 5.46/4.94 (~m_main_v_request(s95)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17267, 32775, 32770])).
% 5.46/4.94 tff(32777,plain,
% 5.46/4.94 (~node4(s95)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17258, 63, 32776])).
% 5.46/4.94 tff(32778,plain,
% 5.46/4.94 (~node4(s94)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17309, 32774])).
% 5.46/4.94 tff(32779,plain,
% 5.46/4.94 (until2p7(s93)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[11372, 11364, 11264])).
% 5.46/4.94 tff(32780,plain,
% 5.46/4.94 (xuntil2p8(s93)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[10108, 32779])).
% 5.46/4.94 tff(32781,plain,
% 5.46/4.94 (until2p7(s94)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[10068, 32780])).
% 5.46/4.94 tff(32782,plain,
% 5.46/4.94 (node4(s94) | xuntil2p8(s94)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[10062, 8293, 32781])).
% 5.46/4.94 tff(32783,plain,
% 5.46/4.94 (xuntil2p8(s94)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32782, 32778])).
% 5.46/4.94 tff(32784,plain,
% 5.46/4.94 (until2p7(s95)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[10056, 32783])).
% 5.46/4.94 tff(32785,plain,
% 5.46/4.94 (node4(s95) | xuntil2p8(s95)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[10050, 8293, 32784])).
% 5.46/4.94 tff(32786,plain,
% 5.46/4.94 (xuntil2p8(s95)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32785, 32777])).
% 5.46/4.94 tff(32787,plain,
% 5.46/4.94 (until2p7(s96)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[10044, 32786])).
% 5.46/4.94 tff(32788,plain,
% 5.46/4.94 (xuntil2p8(s96)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[10038, 8293, 32787, 32773])).
% 5.46/4.94 tff(32789,plain,
% 5.46/4.94 (until2p7(s97)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[10031, 32788])).
% 5.46/4.94 tff(32790,plain,
% 5.46/4.94 (xuntil2p8(s97)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[10026, 32789])).
% 5.46/4.94 tff(32791,plain,
% 5.46/4.94 (until2p7(s98)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9986, 32790])).
% 5.46/4.94 tff(32792,plain,
% 5.46/4.94 (xuntil2p8(s98)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9980, 8293, 32791, 32768])).
% 5.46/4.94 tff(32793,plain,
% 5.46/4.94 (until2p7(s99)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9973, 32792])).
% 5.46/4.94 tff(32794,plain,
% 5.46/4.94 (xuntil2p8(s99)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9968, 32793])).
% 5.46/4.94 tff(32795,plain,
% 5.46/4.94 (until2p7(s100)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9928, 32794])).
% 5.46/4.94 tff(32796,plain,
% 5.46/4.94 (always3(s100)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5776, 32763])).
% 5.46/4.94 tff(32797,plain,
% 5.46/4.94 (always3(s101)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5764, 32796])).
% 5.46/4.94 tff(32798,plain,
% 5.46/4.94 (~m_main_v_state(s101, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17109, 145, 32797])).
% 5.46/4.94 tff(32799,plain,
% 5.46/4.94 (~node4(s100)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17132, 32798])).
% 5.46/4.94 tff(32800,plain,
% 5.46/4.94 (xuntil2p8(s100) | (~until2p7(s100))),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9922, 8293, 32799])).
% 5.46/4.94 tff(32801,plain,
% 5.46/4.94 (xuntil2p8(s100)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32800, 32795])).
% 5.46/4.94 tff(32802,plain,
% 5.46/4.94 (until2p7(s101)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9916, 32801])).
% 5.46/4.94 tff(32803,plain,
% 5.46/4.94 (always3(s102)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5752, 32797])).
% 5.46/4.94 tff(32804,plain,
% 5.46/4.94 (~m_main_v_state(s102, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9888, 145, 32803])).
% 5.46/4.94 tff(32805,plain,
% 5.46/4.94 (m_main_v_state(s101, c_ready)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17138, 188, 32798])).
% 5.46/4.94 tff(32806,plain,
% 5.46/4.94 (~m_main_v_request(s101)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17147, 32805, 32804])).
% 5.46/4.94 tff(32807,plain,
% 5.46/4.94 (~node4(s101)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17151, 63, 32806])).
% 5.46/4.94 tff(32808,plain,
% 5.46/4.94 (xuntil2p8(s101) | (~until2p7(s101))),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9910, 8293, 32807])).
% 5.46/4.94 tff(32809,plain,
% 5.46/4.94 (xuntil2p8(s101)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32808, 32802])).
% 5.46/4.94 tff(32810,plain,
% 5.46/4.94 (until2p7(s102)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9903, 32809])).
% 5.46/4.94 tff(32811,plain,
% 5.46/4.94 (xuntil2p8(s102)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9898, 32810])).
% 5.46/4.94 tff(32812,plain,
% 5.46/4.94 (always3(s103)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5740, 32803])).
% 5.46/4.94 tff(32813,plain,
% 5.46/4.94 (always3(s104)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5728, 32812])).
% 5.46/4.94 tff(32814,plain,
% 5.46/4.94 (always3(s105)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5712, 32813])).
% 5.46/4.94 tff(32815,plain,
% 5.46/4.94 (always3(s106)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5700, 32814])).
% 5.46/4.94 tff(32816,plain,
% 5.46/4.94 (always3(s107)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5688, 32815])).
% 5.46/4.94 tff(32817,plain,
% 5.46/4.94 (always3(s108)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5676, 32816])).
% 5.46/4.94 tff(32818,plain,
% 5.46/4.94 (~m_main_v_state(s108, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17595, 145, 32817])).
% 5.46/4.94 tff(32819,plain,
% 5.46/4.94 (~node4(s107)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17628, 32818])).
% 5.46/4.94 tff(32820,plain,
% 5.46/4.94 (always3(s109)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[5664, 32817])).
% 5.46/4.94 tff(32821,plain,
% 5.46/4.94 (~m_main_v_state(s109, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17572, 145, 32820])).
% 5.46/4.94 tff(32822,plain,
% 5.46/4.94 (m_main_v_state(s108, c_ready)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17599, 188, 32818])).
% 5.46/4.94 tff(32823,plain,
% 5.46/4.94 (~m_main_v_request(s108)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17588, 32822, 32821])).
% 5.46/4.94 tff(32824,plain,
% 5.46/4.94 (~node4(s108)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17579, 63, 32823])).
% 5.46/4.94 tff(32825,assumption,(~xuntil2p8(s108)), introduced(assumption)).
% 5.46/4.94 tff(32826,plain,
% 5.46/4.94 (node4(s108) | (~until2p7(s108))),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9792, 8293, 32825])).
% 5.46/4.94 tff(32827,plain,
% 5.46/4.94 (~until2p7(s108)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32826, 32824])).
% 5.46/4.94 tff(32828,plain,
% 5.46/4.94 (~xuntil2p8(s107)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9798, 32827])).
% 5.46/4.94 tff(32829,plain,
% 5.46/4.94 (~until2p7(s107)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9804, 8293, 32828, 32819])).
% 5.46/4.94 tff(32830,plain,
% 5.46/4.94 (~xuntil2p8(s106)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9810, 32829])).
% 5.46/4.94 tff(32831,plain,
% 5.46/4.94 (~m_main_v_state(s107, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17476, 145, 32816])).
% 5.46/4.94 tff(32832,plain,
% 5.46/4.94 (~m_main_v_state(s106, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17503, 145, 32815])).
% 5.46/4.94 tff(32833,plain,
% 5.46/4.94 (~node1(s105)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32280, 32832])).
% 5.46/4.94 tff(32834,plain,
% 5.46/4.94 (m_main_v_state(s106, c_ready)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32288, 32833, 32832])).
% 5.46/4.94 tff(32835,plain,
% 5.46/4.94 (~m_main_v_request(s106)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17492, 32834, 32831])).
% 5.46/4.94 tff(32836,plain,
% 5.46/4.94 (~node4(s106)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17483, 63, 32835])).
% 5.46/4.94 tff(32837,plain,
% 5.46/4.94 (xuntil2p8(s106) | (~until2p7(s106))),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9816, 8293, 32836])).
% 5.46/4.94 tff(32838,plain,
% 5.46/4.94 (~until2p7(s106)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32837, 32830])).
% 5.46/4.94 tff(32839,plain,
% 5.46/4.94 (~xuntil2p8(s105)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9822, 32838])).
% 5.46/4.94 tff(32840,plain,
% 5.46/4.94 (~node4(s105)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17532, 32832])).
% 5.46/4.94 tff(32841,plain,
% 5.46/4.94 (xuntil2p8(s105) | (~until2p7(s105))),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9828, 8293, 32840])).
% 5.46/4.94 tff(32842,plain,
% 5.46/4.94 (~until2p7(s105)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32841, 32839])).
% 5.46/4.94 tff(32843,plain,
% 5.46/4.94 (~xuntil2p8(s104)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9834, 32842])).
% 5.46/4.94 tff(32844,plain,
% 5.46/4.94 (~m_main_v_state(s105, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17405, 145, 32814])).
% 5.46/4.94 tff(32845,plain,
% 5.46/4.94 (~m_main_v_state(s104, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17397, 145, 32813])).
% 5.46/4.94 tff(32846,plain,
% 5.46/4.94 (m_main_v_state(s104, c_ready)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17409, 188, 32845])).
% 5.46/4.94 tff(32847,plain,
% 5.46/4.94 (~m_main_v_request(s104)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17418, 32846, 32844])).
% 5.46/4.94 tff(32848,plain,
% 5.46/4.94 (~node4(s104)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17422, 63, 32847])).
% 5.46/4.94 tff(32849,plain,
% 5.46/4.94 (xuntil2p8(s104) | (~until2p7(s104))),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9840, 8293, 32848])).
% 5.46/4.94 tff(32850,plain,
% 5.46/4.94 (~until2p7(s104)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32849, 32843])).
% 5.46/4.94 tff(32851,plain,
% 5.46/4.94 (~xuntil2p8(s103)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9846, 32850])).
% 5.46/4.94 tff(32852,plain,
% 5.46/4.94 (~m_main_v_state(s103, c_busy)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9872, 145, 32812])).
% 5.46/4.94 tff(32853,plain,
% 5.46/4.94 (m_main_v_state(s103, c_ready)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17446, 188, 32852])).
% 5.46/4.94 tff(32854,plain,
% 5.46/4.94 (~m_main_v_request(s103)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17440, 32853, 32845])).
% 5.46/4.94 tff(32855,plain,
% 5.46/4.94 (~node4(s103)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17431, 63, 32854])).
% 5.46/4.94 tff(32856,plain,
% 5.46/4.94 (xuntil2p8(s103) | (~until2p7(s103))),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9852, 8293, 32855])).
% 5.46/4.94 tff(32857,plain,
% 5.46/4.94 (~until2p7(s103)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32856, 32851])).
% 5.46/4.94 tff(32858,plain,
% 5.46/4.94 ($false),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[9858, 32857, 32811])).
% 5.46/4.94 tff(32859,plain,((~trans(s199, s93)) | xuntil2p8(s108) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.94 tff(32860,plain,
% 5.46/4.94 (~trans(s199, s93)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32859, 32737, 11264])).
% 5.46/4.94 tff(32861,plain,
% 5.46/4.94 (~trans(s199, s176)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[12923, 31014, 11264])).
% 5.46/4.94 tff(32862,plain,
% 5.46/4.94 (~trans(s199, s93)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[32859, 32825, 11264])).
% 5.46/4.94 tff(32863,plain,
% 5.46/4.94 (~trans(s199, s103)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[24692, 6475])).
% 5.46/4.94 tff(32864,plain,
% 5.46/4.94 (xuntil6(s108)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[17564, 17539, 7086])).
% 5.46/4.94 tff(32865,plain,
% 5.46/4.94 (until5(s109)),
% 5.46/4.94 inference(unit_resolution,[status(thm)],[7673, 32864])).
% 5.46/4.95 tff(32866,plain,
% 5.46/4.95 (~until5(s111)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32684, 17539, 13572, 13658, 13659, 13655, 13598, 13651, 18474, 13647, 13646, 13645, 13643, 13641, 13639, 13638, 13637, 13650, 13635, 13633, 13632, 13631, 13628, 13627, 13626, 13624, 13622, 13662, 13619, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13604, 13603, 13636, 13597, 13594, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13654, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13665, 13559, 13556, 13555, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13542, 13541, 13540, 13535, 13534, 13532, 13530, 13527, 13525, 13518, 13515, 13514, 13512, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13652])).
% 5.46/4.95 tff(32867,plain,
% 5.46/4.95 (~xuntil6(s110)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[7707, 32866])).
% 5.46/4.95 tff(32868,plain,
% 5.46/4.95 ($false),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[17737, 32867, 32865, 7086])).
% 5.46/4.95 tff(32869,plain,(always3(s108) | (~until5(s39)) | trans(s199, s81) | trans(s199, s83) | trans(s199, s100) | trans(s199, s50) | trans(s199, s0) | trans(s199, s39) | node4(s199) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s13) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s36) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s9) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s87) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s63) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s30) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s46) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | trans(s199, s2)), inference(lemma,lemma(discharge,[]))).
% 5.46/4.95 tff(32870,plain,
% 5.46/4.95 (node4(s199)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32869, 17539, 13572, 13658, 13659, 13655, 13598, 13651, 13440, 13647, 13646, 13645, 13643, 13641, 13639, 13638, 13637, 13650, 13635, 13633, 13632, 13631, 13628, 13627, 13626, 13624, 13622, 13662, 13619, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13604, 13603, 13636, 13597, 13594, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13654, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13665, 13559, 13556, 13555, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13542, 13541, 13540, 13535, 13534, 13532, 13530, 13527, 13525, 13518, 13515, 13514, 13512, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 7086, 13438, 13437, 13435, 13434, 13433, 13378, 13664, 13652])).
% 5.46/4.95 tff(32871,plain,
% 5.46/4.95 (m_main_v_request(s199)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[68, 32870])).
% 5.46/4.95 tff(32872,assumption,(m_main_v_request(s199)), introduced(assumption)).
% 5.46/4.95 tff(32873,assumption,(~node2(s199, s161)), introduced(assumption)).
% 5.46/4.95 tff(32874,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s161)) | node2(s199, s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s161)) | node2(s199, s161))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32875,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s161)) | node2(s199, s161))),
% 5.46/4.95 inference(quant_inst,[status(thm)],[])).
% 5.46/4.95 tff(32876,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s161)) | node2(s199, s161)),
% 5.46/4.95 inference(modus_ponens,[status(thm)],[32875, 32874])).
% 5.46/4.95 tff(32877,plain,
% 5.46/4.95 ($false),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32876, 11947, 7, 32873])).
% 5.46/4.95 tff(32878,plain,((~trans(s199, s161)) | node2(s199, s161)), inference(lemma,lemma(discharge,[]))).
% 5.46/4.95 tff(32879,plain,
% 5.46/4.95 (node2(s199, s161)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32878, 11947])).
% 5.46/4.95 tff(32880,assumption,(node2(s199, s161)), introduced(assumption)).
% 5.46/4.95 tff(32881,plain,
% 5.46/4.95 (~m_main_v_state(s199, c_busy)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[3560, 145, 15333])).
% 5.46/4.95 tff(32882,plain,
% 5.46/4.95 (((~![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))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32883,plain,
% 5.46/4.95 ((~![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))),
% 5.46/4.95 inference(quant_inst,[status(thm)],[])).
% 5.46/4.95 tff(32884,plain,
% 5.46/4.95 ((~![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)),
% 5.46/4.95 inference(modus_ponens,[status(thm)],[32883, 32882])).
% 5.46/4.95 tff(32885,plain,
% 5.46/4.95 (m_main_v_state(s199, c_ready)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32884, 188, 32881])).
% 5.46/4.95 tff(32886,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s161, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s161)))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32887,plain,
% 5.46/4.95 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s161)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s161, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s161)))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32888,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s199, c_ready)) | (~node2(s199, s161)) | m_main_v_state(s161, 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(s161, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s161))))),
% 5.46/4.95 inference(monotonicity,[status(thm)],[32887])).
% 5.46/4.95 tff(32889,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s199, c_ready)) | (~node2(s199, s161)) | m_main_v_state(s161, 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(s161, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s161)))),
% 5.46/4.95 inference(transitivity,[status(thm)],[32888, 32886])).
% 5.46/4.95 tff(32890,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s199, c_ready)) | (~node2(s199, s161)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.95 inference(quant_inst,[status(thm)],[])).
% 5.46/4.95 tff(32891,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s161, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s161))),
% 5.46/4.95 inference(modus_ponens,[status(thm)],[32890, 32889])).
% 5.46/4.95 tff(32892,plain,
% 5.46/4.95 ($false),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32891, 166, 31129, 32885, 32872, 32880])).
% 5.46/4.95 tff(32893,plain,((~node2(s199, s161)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.95 tff(32894,plain,
% 5.46/4.95 (m_main_v_state(s161, c_busy)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32893, 32879, 32872])).
% 5.46/4.95 tff(32895,plain,
% 5.46/4.95 ($false),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[9047, 145, 26994, 32894])).
% 5.46/4.95 tff(32896,plain,((~trans(s199, s161)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.95 tff(32897,plain,
% 5.46/4.95 (~trans(s199, s161)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32896, 32871])).
% 5.46/4.95 tff(32898,assumption,(~node2(s199, s158)), introduced(assumption)).
% 5.46/4.95 tff(32899,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s158)) | node2(s199, s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s158)) | node2(s199, s158))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32900,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s158)) | node2(s199, s158))),
% 5.46/4.95 inference(quant_inst,[status(thm)],[])).
% 5.46/4.95 tff(32901,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s158)) | node2(s199, s158)),
% 5.46/4.95 inference(modus_ponens,[status(thm)],[32900, 32899])).
% 5.46/4.95 tff(32902,plain,
% 5.46/4.95 ($false),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32901, 12200, 7, 32898])).
% 5.46/4.95 tff(32903,plain,((~trans(s199, s158)) | node2(s199, s158)), inference(lemma,lemma(discharge,[]))).
% 5.46/4.95 tff(32904,plain,
% 5.46/4.95 (node2(s199, s158)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32903, 12200])).
% 5.46/4.95 tff(32905,assumption,(node2(s199, s158)), introduced(assumption)).
% 5.46/4.95 tff(32906,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s158, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s158)))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32907,plain,
% 5.46/4.95 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s158)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s158, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s158)))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32908,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s199, c_ready)) | (~node2(s199, s158)) | m_main_v_state(s158, 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(s158, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s158))))),
% 5.46/4.95 inference(monotonicity,[status(thm)],[32907])).
% 5.46/4.95 tff(32909,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s199, c_ready)) | (~node2(s199, s158)) | m_main_v_state(s158, 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(s158, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s158)))),
% 5.46/4.95 inference(transitivity,[status(thm)],[32908, 32906])).
% 5.46/4.95 tff(32910,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s199, c_ready)) | (~node2(s199, s158)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.95 inference(quant_inst,[status(thm)],[])).
% 5.46/4.95 tff(32911,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s158, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s158))),
% 5.46/4.95 inference(modus_ponens,[status(thm)],[32910, 32909])).
% 5.46/4.95 tff(32912,plain,
% 5.46/4.95 ($false),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32911, 166, 21578, 32885, 32872, 32905])).
% 5.46/4.95 tff(32913,plain,((~node2(s199, s158)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.95 tff(32914,plain,
% 5.46/4.95 (m_main_v_state(s158, c_busy)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32913, 32904, 32872])).
% 5.46/4.95 tff(32915,plain,
% 5.46/4.95 (always3(s158)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[25651, 12200])).
% 5.46/4.95 tff(32916,plain,
% 5.46/4.95 ($false),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[21560, 145, 32915, 32914])).
% 5.46/4.95 tff(32917,plain,((~trans(s199, s158)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.95 tff(32918,plain,
% 5.46/4.95 (~trans(s199, s158)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32917, 32871])).
% 5.46/4.95 tff(32919,assumption,(~node2(s199, s156)), introduced(assumption)).
% 5.46/4.95 tff(32920,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s156)) | node2(s199, s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s156)) | node2(s199, s156))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32921,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s156)) | node2(s199, s156))),
% 5.46/4.95 inference(quant_inst,[status(thm)],[])).
% 5.46/4.95 tff(32922,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s156)) | node2(s199, s156)),
% 5.46/4.95 inference(modus_ponens,[status(thm)],[32921, 32920])).
% 5.46/4.95 tff(32923,plain,
% 5.46/4.95 ($false),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32922, 11771, 7, 32919])).
% 5.46/4.95 tff(32924,plain,((~trans(s199, s156)) | node2(s199, s156)), inference(lemma,lemma(discharge,[]))).
% 5.46/4.95 tff(32925,plain,
% 5.46/4.95 (node2(s199, s156)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32924, 11771])).
% 5.46/4.95 tff(32926,assumption,(node2(s199, s156)), introduced(assumption)).
% 5.46/4.95 tff(32927,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s156, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s156)))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32928,plain,
% 5.46/4.95 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s156)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s156, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s156)))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32929,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s199, c_ready)) | (~node2(s199, s156)) | m_main_v_state(s156, 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(s156, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s156))))),
% 5.46/4.95 inference(monotonicity,[status(thm)],[32928])).
% 5.46/4.95 tff(32930,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s199, c_ready)) | (~node2(s199, s156)) | m_main_v_state(s156, 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(s156, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s156)))),
% 5.46/4.95 inference(transitivity,[status(thm)],[32929, 32927])).
% 5.46/4.95 tff(32931,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s199, c_ready)) | (~node2(s199, s156)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.95 inference(quant_inst,[status(thm)],[])).
% 5.46/4.95 tff(32932,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s156, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s156))),
% 5.46/4.95 inference(modus_ponens,[status(thm)],[32931, 32930])).
% 5.46/4.95 tff(32933,plain,
% 5.46/4.95 ($false),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32932, 166, 21695, 32885, 32872, 32926])).
% 5.46/4.95 tff(32934,plain,((~node2(s199, s156)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.95 tff(32935,plain,
% 5.46/4.95 (m_main_v_state(s156, c_busy)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32934, 32925, 32872])).
% 5.46/4.95 tff(32936,plain,
% 5.46/4.95 (always3(s156)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[25600, 11771])).
% 5.46/4.95 tff(32937,plain,
% 5.46/4.95 ($false),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[21663, 145, 32936, 32935])).
% 5.46/4.95 tff(32938,plain,((~trans(s199, s156)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.95 tff(32939,plain,
% 5.46/4.95 (~trans(s199, s156)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32938, 32871])).
% 5.46/4.95 tff(32940,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s110)) | node2(s199, s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s110)) | node2(s199, s110))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32941,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s110)) | node2(s199, s110))),
% 5.46/4.95 inference(quant_inst,[status(thm)],[])).
% 5.46/4.95 tff(32942,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s110)) | node2(s199, s110)),
% 5.46/4.95 inference(modus_ponens,[status(thm)],[32941, 32940])).
% 5.46/4.95 tff(32943,plain,
% 5.46/4.95 (node2(s199, s110)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32942, 12134, 7])).
% 5.46/4.95 tff(32944,plain,
% 5.46/4.95 (always3(s110)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[24525, 12134])).
% 5.46/4.95 tff(32945,plain,
% 5.46/4.95 (~m_main_v_state(s110, c_busy)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[17701, 145, 32944])).
% 5.46/4.95 tff(32946,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s110, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s110)))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32947,plain,
% 5.46/4.95 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s110)) | m_main_v_state(s110, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s110, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s110)))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32948,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s199, c_ready)) | (~node2(s199, s110)) | m_main_v_state(s110, 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(s110, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s110))))),
% 5.46/4.95 inference(monotonicity,[status(thm)],[32947])).
% 5.46/4.95 tff(32949,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s199, c_ready)) | (~node2(s199, s110)) | m_main_v_state(s110, 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(s110, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s110)))),
% 5.46/4.95 inference(transitivity,[status(thm)],[32948, 32946])).
% 5.46/4.95 tff(32950,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s199, c_ready)) | (~node2(s199, s110)) | m_main_v_state(s110, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.95 inference(quant_inst,[status(thm)],[])).
% 5.46/4.95 tff(32951,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s110, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s110))),
% 5.46/4.95 inference(modus_ponens,[status(thm)],[32950, 32949])).
% 5.46/4.95 tff(32952,plain,
% 5.46/4.95 ($false),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32951, 166, 32945, 32885, 32872, 32943])).
% 5.46/4.95 tff(32953,plain,((~trans(s199, s110)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.95 tff(32954,plain,
% 5.46/4.95 (~trans(s199, s110)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32953, 32871])).
% 5.46/4.95 tff(32955,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s112)) | node2(s199, s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s112)) | node2(s199, s112))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32956,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s112)) | node2(s199, s112))),
% 5.46/4.95 inference(quant_inst,[status(thm)],[])).
% 5.46/4.95 tff(32957,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s112)) | node2(s199, s112)),
% 5.46/4.95 inference(modus_ponens,[status(thm)],[32956, 32955])).
% 5.46/4.95 tff(32958,plain,
% 5.46/4.95 (node2(s199, s112)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32957, 12013, 7])).
% 5.46/4.95 tff(32959,plain,
% 5.46/4.95 (always3(s112)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[24467, 12013])).
% 5.46/4.95 tff(32960,plain,
% 5.46/4.95 (~m_main_v_state(s112, c_busy)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[18213, 145, 32959])).
% 5.46/4.95 tff(32961,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s112, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s112)))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32962,plain,
% 5.46/4.95 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s112)) | m_main_v_state(s112, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s112, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s112)))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32963,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s199, c_ready)) | (~node2(s199, s112)) | m_main_v_state(s112, 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(s112, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s112))))),
% 5.46/4.95 inference(monotonicity,[status(thm)],[32962])).
% 5.46/4.95 tff(32964,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s199, c_ready)) | (~node2(s199, s112)) | m_main_v_state(s112, 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(s112, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s112)))),
% 5.46/4.95 inference(transitivity,[status(thm)],[32963, 32961])).
% 5.46/4.95 tff(32965,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s199, c_ready)) | (~node2(s199, s112)) | m_main_v_state(s112, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.95 inference(quant_inst,[status(thm)],[])).
% 5.46/4.95 tff(32966,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s112, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s112))),
% 5.46/4.95 inference(modus_ponens,[status(thm)],[32965, 32964])).
% 5.46/4.95 tff(32967,plain,
% 5.46/4.95 ($false),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32966, 166, 32960, 32885, 32872, 32958])).
% 5.46/4.95 tff(32968,plain,((~trans(s199, s112)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.95 tff(32969,plain,
% 5.46/4.95 (~trans(s199, s112)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32968, 32871])).
% 5.46/4.95 tff(32970,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s111)) | node2(s199, s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s111)) | node2(s199, s111))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32971,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s111)) | node2(s199, s111))),
% 5.46/4.95 inference(quant_inst,[status(thm)],[])).
% 5.46/4.95 tff(32972,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s111)) | node2(s199, s111)),
% 5.46/4.95 inference(modus_ponens,[status(thm)],[32971, 32970])).
% 5.46/4.95 tff(32973,plain,
% 5.46/4.95 (node2(s199, s111)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32972, 13124, 7])).
% 5.46/4.95 tff(32974,plain,
% 5.46/4.95 (always3(s111)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[24703, 13124])).
% 5.46/4.95 tff(32975,plain,
% 5.46/4.95 (~m_main_v_state(s111, c_busy)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[17678, 145, 32974])).
% 5.46/4.95 tff(32976,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s111, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s111)))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32977,plain,
% 5.46/4.95 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s111)) | m_main_v_state(s111, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s111, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s111)))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32978,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s199, c_ready)) | (~node2(s199, s111)) | m_main_v_state(s111, 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(s111, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s111))))),
% 5.46/4.95 inference(monotonicity,[status(thm)],[32977])).
% 5.46/4.95 tff(32979,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s199, c_ready)) | (~node2(s199, s111)) | m_main_v_state(s111, 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(s111, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s111)))),
% 5.46/4.95 inference(transitivity,[status(thm)],[32978, 32976])).
% 5.46/4.95 tff(32980,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s199, c_ready)) | (~node2(s199, s111)) | m_main_v_state(s111, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.95 inference(quant_inst,[status(thm)],[])).
% 5.46/4.95 tff(32981,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s111, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s111))),
% 5.46/4.95 inference(modus_ponens,[status(thm)],[32980, 32979])).
% 5.46/4.95 tff(32982,plain,
% 5.46/4.95 ($false),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32981, 166, 32975, 32885, 32872, 32973])).
% 5.46/4.95 tff(32983,plain,((~trans(s199, s111)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.95 tff(32984,plain,
% 5.46/4.95 (~trans(s199, s111)),
% 5.46/4.95 inference(unit_resolution,[status(thm)],[32983, 32871])).
% 5.46/4.95 tff(32985,plain,
% 5.46/4.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s109)) | node2(s199, s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s109)) | node2(s199, s109))),
% 5.46/4.95 inference(rewrite,[status(thm)],[])).
% 5.46/4.95 tff(32986,plain,
% 5.46/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s109)) | node2(s199, s109))),
% 5.46/4.95 inference(quant_inst,[status(thm)],[])).
% 5.46/4.95 tff(32987,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s109)) | node2(s199, s109)),
% 5.46/4.96 inference(modus_ponens,[status(thm)],[32986, 32985])).
% 5.46/4.96 tff(32988,plain,
% 5.46/4.96 (node2(s199, s109)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[32987, 13168, 7])).
% 5.46/4.96 tff(32989,plain,
% 5.46/4.96 (always3(s109)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[24717, 13168])).
% 5.46/4.96 tff(32990,plain,
% 5.46/4.96 (~m_main_v_state(s109, c_busy)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[17572, 145, 32989])).
% 5.46/4.96 tff(32991,plain,
% 5.46/4.96 (((~![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(s109, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s109)))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(32992,plain,
% 5.46/4.96 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s109)) | m_main_v_state(s109, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s109, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s109)))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(32993,plain,
% 5.46/4.96 (((~![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(s199, c_ready)) | (~node2(s199, s109)) | m_main_v_state(s109, 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(s109, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s109))))),
% 5.46/4.96 inference(monotonicity,[status(thm)],[32992])).
% 5.46/4.96 tff(32994,plain,
% 5.46/4.96 (((~![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(s199, c_ready)) | (~node2(s199, s109)) | m_main_v_state(s109, 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(s109, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s109)))),
% 5.46/4.96 inference(transitivity,[status(thm)],[32993, 32991])).
% 5.46/4.96 tff(32995,plain,
% 5.46/4.96 ((~![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(s199, c_ready)) | (~node2(s199, s109)) | m_main_v_state(s109, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.96 inference(quant_inst,[status(thm)],[])).
% 5.46/4.96 tff(32996,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s109, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s109))),
% 5.46/4.96 inference(modus_ponens,[status(thm)],[32995, 32994])).
% 5.46/4.96 tff(32997,plain,
% 5.46/4.96 ($false),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[32996, 166, 32990, 32885, 32872, 32988])).
% 5.46/4.96 tff(32998,plain,((~trans(s199, s109)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.96 tff(32999,plain,
% 5.46/4.96 (~trans(s199, s109)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[32998, 32871])).
% 5.46/4.96 tff(33000,plain,
% 5.46/4.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s117)) | node2(s199, s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s117)) | node2(s199, s117))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33001,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s117)) | node2(s199, s117))),
% 5.46/4.96 inference(quant_inst,[status(thm)],[])).
% 5.46/4.96 tff(33002,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s117)) | node2(s199, s117)),
% 5.46/4.96 inference(modus_ponens,[status(thm)],[33001, 33000])).
% 5.46/4.96 tff(33003,plain,
% 5.46/4.96 (node2(s199, s117)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33002, 13256, 7])).
% 5.46/4.96 tff(33004,plain,
% 5.46/4.96 (((~![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(s117, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s117)))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33005,plain,
% 5.46/4.96 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s117)) | m_main_v_state(s117, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s117, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s117)))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33006,plain,
% 5.46/4.96 (((~![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(s199, c_ready)) | (~node2(s199, s117)) | m_main_v_state(s117, 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(s117, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s117))))),
% 5.46/4.96 inference(monotonicity,[status(thm)],[33005])).
% 5.46/4.96 tff(33007,plain,
% 5.46/4.96 (((~![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(s199, c_ready)) | (~node2(s199, s117)) | m_main_v_state(s117, 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(s117, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s117)))),
% 5.46/4.96 inference(transitivity,[status(thm)],[33006, 33004])).
% 5.46/4.96 tff(33008,plain,
% 5.46/4.96 ((~![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(s199, c_ready)) | (~node2(s199, s117)) | m_main_v_state(s117, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.96 inference(quant_inst,[status(thm)],[])).
% 5.46/4.96 tff(33009,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s117, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s117))),
% 5.46/4.96 inference(modus_ponens,[status(thm)],[33008, 33007])).
% 5.46/4.96 tff(33010,plain,
% 5.46/4.96 ($false),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33009, 166, 18470, 32885, 32872, 33003])).
% 5.46/4.96 tff(33011,plain,((~trans(s199, s117)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.96 tff(33012,plain,
% 5.46/4.96 (~trans(s199, s117)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33011, 32871])).
% 5.46/4.96 tff(33013,plain,
% 5.46/4.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s116)) | node2(s199, s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s116)) | node2(s199, s116))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33014,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s116)) | node2(s199, s116))),
% 5.46/4.96 inference(quant_inst,[status(thm)],[])).
% 5.46/4.96 tff(33015,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s116)) | node2(s199, s116)),
% 5.46/4.96 inference(modus_ponens,[status(thm)],[33014, 33013])).
% 5.46/4.96 tff(33016,plain,
% 5.46/4.96 (node2(s199, s116)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33015, 12211, 7])).
% 5.46/4.96 tff(33017,plain,
% 5.46/4.96 (always3(s116)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[30328, 12211])).
% 5.46/4.96 tff(33018,plain,
% 5.46/4.96 (~m_main_v_state(s116, c_busy)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[18331, 145, 33017])).
% 5.46/4.96 tff(33019,plain,
% 5.46/4.96 (((~![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(s116, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s116)))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33020,plain,
% 5.46/4.96 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s116)) | m_main_v_state(s116, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s116, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s116)))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33021,plain,
% 5.46/4.96 (((~![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(s199, c_ready)) | (~node2(s199, s116)) | m_main_v_state(s116, 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(s116, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s116))))),
% 5.46/4.96 inference(monotonicity,[status(thm)],[33020])).
% 5.46/4.96 tff(33022,plain,
% 5.46/4.96 (((~![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(s199, c_ready)) | (~node2(s199, s116)) | m_main_v_state(s116, 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(s116, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s116)))),
% 5.46/4.96 inference(transitivity,[status(thm)],[33021, 33019])).
% 5.46/4.96 tff(33023,plain,
% 5.46/4.96 ((~![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(s199, c_ready)) | (~node2(s199, s116)) | m_main_v_state(s116, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.96 inference(quant_inst,[status(thm)],[])).
% 5.46/4.96 tff(33024,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s116, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s116))),
% 5.46/4.96 inference(modus_ponens,[status(thm)],[33023, 33022])).
% 5.46/4.96 tff(33025,plain,
% 5.46/4.96 ($false),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33024, 166, 33018, 32885, 32872, 33016])).
% 5.46/4.96 tff(33026,plain,((~trans(s199, s116)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.96 tff(33027,plain,
% 5.46/4.96 (~trans(s199, s116)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33026, 32871])).
% 5.46/4.96 tff(33028,plain,
% 5.46/4.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s115)) | node2(s199, s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s115)) | node2(s199, s115))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33029,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s115)) | node2(s199, s115))),
% 5.46/4.96 inference(quant_inst,[status(thm)],[])).
% 5.46/4.96 tff(33030,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s115)) | node2(s199, s115)),
% 5.46/4.96 inference(modus_ponens,[status(thm)],[33029, 33028])).
% 5.46/4.96 tff(33031,plain,
% 5.46/4.96 (node2(s199, s115)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33030, 12871, 7])).
% 5.46/4.96 tff(33032,plain,
% 5.46/4.96 (always3(s115)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[24792, 12871])).
% 5.46/4.96 tff(33033,plain,
% 5.46/4.96 (~m_main_v_state(s115, c_busy)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[18280, 145, 33032])).
% 5.46/4.96 tff(33034,plain,
% 5.46/4.96 (((~![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(s115, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s115)))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33035,plain,
% 5.46/4.96 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s115)) | m_main_v_state(s115, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s115, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s115)))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33036,plain,
% 5.46/4.96 (((~![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(s199, c_ready)) | (~node2(s199, s115)) | m_main_v_state(s115, 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(s115, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s115))))),
% 5.46/4.96 inference(monotonicity,[status(thm)],[33035])).
% 5.46/4.96 tff(33037,plain,
% 5.46/4.96 (((~![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(s199, c_ready)) | (~node2(s199, s115)) | m_main_v_state(s115, 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(s115, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s115)))),
% 5.46/4.96 inference(transitivity,[status(thm)],[33036, 33034])).
% 5.46/4.96 tff(33038,plain,
% 5.46/4.96 ((~![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(s199, c_ready)) | (~node2(s199, s115)) | m_main_v_state(s115, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.96 inference(quant_inst,[status(thm)],[])).
% 5.46/4.96 tff(33039,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s115, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s115))),
% 5.46/4.96 inference(modus_ponens,[status(thm)],[33038, 33037])).
% 5.46/4.96 tff(33040,plain,
% 5.46/4.96 ($false),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33039, 166, 33033, 32885, 32872, 33031])).
% 5.46/4.96 tff(33041,plain,((~trans(s199, s115)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.96 tff(33042,plain,
% 5.46/4.96 (~trans(s199, s115)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33041, 32871])).
% 5.46/4.96 tff(33043,plain,
% 5.46/4.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s120)) | node2(s199, s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s120)) | node2(s199, s120))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33044,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s120)) | node2(s199, s120))),
% 5.46/4.96 inference(quant_inst,[status(thm)],[])).
% 5.46/4.96 tff(33045,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s120)) | node2(s199, s120)),
% 5.46/4.96 inference(modus_ponens,[status(thm)],[33044, 33043])).
% 5.46/4.96 tff(33046,plain,
% 5.46/4.96 (node2(s199, s120)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33045, 11496, 7])).
% 5.46/4.96 tff(33047,plain,
% 5.46/4.96 (((~![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(s120, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s120)))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33048,plain,
% 5.46/4.96 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s120)) | m_main_v_state(s120, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s120, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s120)))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33049,plain,
% 5.46/4.96 (((~![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(s199, c_ready)) | (~node2(s199, s120)) | m_main_v_state(s120, 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(s120, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s120))))),
% 5.46/4.96 inference(monotonicity,[status(thm)],[33048])).
% 5.46/4.96 tff(33050,plain,
% 5.46/4.96 (((~![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(s199, c_ready)) | (~node2(s199, s120)) | m_main_v_state(s120, 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(s120, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s120)))),
% 5.46/4.96 inference(transitivity,[status(thm)],[33049, 33047])).
% 5.46/4.96 tff(33051,plain,
% 5.46/4.96 ((~![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(s199, c_ready)) | (~node2(s199, s120)) | m_main_v_state(s120, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.96 inference(quant_inst,[status(thm)],[])).
% 5.46/4.96 tff(33052,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s120, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s120))),
% 5.46/4.96 inference(modus_ponens,[status(thm)],[33051, 33050])).
% 5.46/4.96 tff(33053,plain,
% 5.46/4.96 ($false),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33052, 166, 29669, 32885, 32872, 33046])).
% 5.46/4.96 tff(33054,plain,((~trans(s199, s120)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.96 tff(33055,plain,
% 5.46/4.96 (~trans(s199, s120)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33054, 32871])).
% 5.46/4.96 tff(33056,plain,
% 5.46/4.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s119)) | node2(s199, s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s119)) | node2(s199, s119))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33057,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s119)) | node2(s199, s119))),
% 5.46/4.96 inference(quant_inst,[status(thm)],[])).
% 5.46/4.96 tff(33058,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s119)) | node2(s199, s119)),
% 5.46/4.96 inference(modus_ponens,[status(thm)],[33057, 33056])).
% 5.46/4.96 tff(33059,plain,
% 5.46/4.96 (node2(s199, s119)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33058, 12266, 7])).
% 5.46/4.96 tff(33060,plain,
% 5.46/4.96 (((~![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(s119, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s119)))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33061,plain,
% 5.46/4.96 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s119)) | m_main_v_state(s119, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s119, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s119)))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33062,plain,
% 5.46/4.96 (((~![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(s199, c_ready)) | (~node2(s199, s119)) | m_main_v_state(s119, 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(s119, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s119))))),
% 5.46/4.96 inference(monotonicity,[status(thm)],[33061])).
% 5.46/4.96 tff(33063,plain,
% 5.46/4.96 (((~![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(s199, c_ready)) | (~node2(s199, s119)) | m_main_v_state(s119, 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(s119, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s119)))),
% 5.46/4.96 inference(transitivity,[status(thm)],[33062, 33060])).
% 5.46/4.96 tff(33064,plain,
% 5.46/4.96 ((~![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(s199, c_ready)) | (~node2(s199, s119)) | m_main_v_state(s119, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.96 inference(quant_inst,[status(thm)],[])).
% 5.46/4.96 tff(33065,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s119, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s119))),
% 5.46/4.96 inference(modus_ponens,[status(thm)],[33064, 33063])).
% 5.46/4.96 tff(33066,plain,
% 5.46/4.96 ($false),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33065, 166, 29415, 32885, 32872, 33059])).
% 5.46/4.96 tff(33067,plain,((~trans(s199, s119)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.96 tff(33068,plain,
% 5.46/4.96 (~trans(s199, s119)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33067, 32871])).
% 5.46/4.96 tff(33069,plain,
% 5.46/4.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s122)) | node2(s199, s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s122)) | node2(s199, s122))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33070,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s122)) | node2(s199, s122))),
% 5.46/4.96 inference(quant_inst,[status(thm)],[])).
% 5.46/4.96 tff(33071,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s122)) | node2(s199, s122)),
% 5.46/4.96 inference(modus_ponens,[status(thm)],[33070, 33069])).
% 5.46/4.96 tff(33072,plain,
% 5.46/4.96 (node2(s199, s122)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33071, 12552, 7])).
% 5.46/4.96 tff(33073,plain,
% 5.46/4.96 (((~![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(s122, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s122)))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33074,plain,
% 5.46/4.96 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s122)) | m_main_v_state(s122, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s122, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s122)))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33075,plain,
% 5.46/4.96 (((~![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(s199, c_ready)) | (~node2(s199, s122)) | m_main_v_state(s122, 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(s122, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s122))))),
% 5.46/4.96 inference(monotonicity,[status(thm)],[33074])).
% 5.46/4.96 tff(33076,plain,
% 5.46/4.96 (((~![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(s199, c_ready)) | (~node2(s199, s122)) | m_main_v_state(s122, 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(s122, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s122)))),
% 5.46/4.96 inference(transitivity,[status(thm)],[33075, 33073])).
% 5.46/4.96 tff(33077,plain,
% 5.46/4.96 ((~![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(s199, c_ready)) | (~node2(s199, s122)) | m_main_v_state(s122, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.96 inference(quant_inst,[status(thm)],[])).
% 5.46/4.96 tff(33078,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s122, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s122))),
% 5.46/4.96 inference(modus_ponens,[status(thm)],[33077, 33076])).
% 5.46/4.96 tff(33079,plain,
% 5.46/4.96 ($false),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33078, 166, 29337, 32885, 32872, 33072])).
% 5.46/4.96 tff(33080,plain,((~trans(s199, s122)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.96 tff(33081,plain,
% 5.46/4.96 (~trans(s199, s122)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33080, 32871])).
% 5.46/4.96 tff(33082,plain,
% 5.46/4.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s125)) | node2(s199, s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s125)) | node2(s199, s125))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33083,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s125)) | node2(s199, s125))),
% 5.46/4.96 inference(quant_inst,[status(thm)],[])).
% 5.46/4.96 tff(33084,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s125)) | node2(s199, s125)),
% 5.46/4.96 inference(modus_ponens,[status(thm)],[33083, 33082])).
% 5.46/4.96 tff(33085,plain,
% 5.46/4.96 (node2(s199, s125)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33084, 12629, 7])).
% 5.46/4.96 tff(33086,plain,
% 5.46/4.96 (((~![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(s125, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s125)))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33087,plain,
% 5.46/4.96 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s125)) | m_main_v_state(s125, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s125, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s125)))),
% 5.46/4.96 inference(rewrite,[status(thm)],[])).
% 5.46/4.96 tff(33088,plain,
% 5.46/4.96 (((~![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(s199, c_ready)) | (~node2(s199, s125)) | m_main_v_state(s125, 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(s125, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s125))))),
% 5.46/4.96 inference(monotonicity,[status(thm)],[33087])).
% 5.46/4.96 tff(33089,plain,
% 5.46/4.96 (((~![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(s199, c_ready)) | (~node2(s199, s125)) | m_main_v_state(s125, 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(s125, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s125)))),
% 5.46/4.96 inference(transitivity,[status(thm)],[33088, 33086])).
% 5.46/4.96 tff(33090,plain,
% 5.46/4.96 ((~![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(s199, c_ready)) | (~node2(s199, s125)) | m_main_v_state(s125, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.96 inference(quant_inst,[status(thm)],[])).
% 5.46/4.96 tff(33091,plain,
% 5.46/4.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s125, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s125))),
% 5.46/4.96 inference(modus_ponens,[status(thm)],[33090, 33089])).
% 5.46/4.96 tff(33092,plain,
% 5.46/4.96 ($false),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33091, 166, 29051, 32885, 32872, 33085])).
% 5.46/4.96 tff(33093,plain,((~trans(s199, s125)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.96 tff(33094,plain,
% 5.46/4.96 (~trans(s199, s125)),
% 5.46/4.96 inference(unit_resolution,[status(thm)],[33093, 32871])).
% 5.46/4.96 tff(33095,plain,
% 5.46/4.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s121)) | node2(s199, s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s121)) | node2(s199, s121))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33096,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s121)) | node2(s199, s121))),
% 5.46/4.97 inference(quant_inst,[status(thm)],[])).
% 5.46/4.97 tff(33097,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s121)) | node2(s199, s121)),
% 5.46/4.97 inference(modus_ponens,[status(thm)],[33096, 33095])).
% 5.46/4.97 tff(33098,plain,
% 5.46/4.97 (node2(s199, s121)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33097, 12662, 7])).
% 5.46/4.97 tff(33099,plain,
% 5.46/4.97 (((~![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(s121, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s121)))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33100,plain,
% 5.46/4.97 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s121)) | m_main_v_state(s121, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s121, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s121)))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33101,plain,
% 5.46/4.97 (((~![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(s199, c_ready)) | (~node2(s199, s121)) | m_main_v_state(s121, 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(s121, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s121))))),
% 5.46/4.97 inference(monotonicity,[status(thm)],[33100])).
% 5.46/4.97 tff(33102,plain,
% 5.46/4.97 (((~![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(s199, c_ready)) | (~node2(s199, s121)) | m_main_v_state(s121, 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(s121, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s121)))),
% 5.46/4.97 inference(transitivity,[status(thm)],[33101, 33099])).
% 5.46/4.97 tff(33103,plain,
% 5.46/4.97 ((~![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(s199, c_ready)) | (~node2(s199, s121)) | m_main_v_state(s121, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.97 inference(quant_inst,[status(thm)],[])).
% 5.46/4.97 tff(33104,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s121, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s121))),
% 5.46/4.97 inference(modus_ponens,[status(thm)],[33103, 33102])).
% 5.46/4.97 tff(33105,plain,
% 5.46/4.97 ($false),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33104, 166, 29126, 32885, 32872, 33098])).
% 5.46/4.97 tff(33106,plain,((~trans(s199, s121)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.97 tff(33107,plain,
% 5.46/4.97 (~trans(s199, s121)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33106, 32871])).
% 5.46/4.97 tff(33108,plain,
% 5.46/4.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s124)) | node2(s199, s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s124)) | node2(s199, s124))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33109,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s124)) | node2(s199, s124))),
% 5.46/4.97 inference(quant_inst,[status(thm)],[])).
% 5.46/4.97 tff(33110,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s124)) | node2(s199, s124)),
% 5.46/4.97 inference(modus_ponens,[status(thm)],[33109, 33108])).
% 5.46/4.97 tff(33111,plain,
% 5.46/4.97 (node2(s199, s124)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33110, 12970, 7])).
% 5.46/4.97 tff(33112,plain,
% 5.46/4.97 (((~![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(s124, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s124)))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33113,plain,
% 5.46/4.97 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s124)) | m_main_v_state(s124, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s124, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s124)))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33114,plain,
% 5.46/4.97 (((~![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(s199, c_ready)) | (~node2(s199, s124)) | m_main_v_state(s124, 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(s124, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s124))))),
% 5.46/4.97 inference(monotonicity,[status(thm)],[33113])).
% 5.46/4.97 tff(33115,plain,
% 5.46/4.97 (((~![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(s199, c_ready)) | (~node2(s199, s124)) | m_main_v_state(s124, 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(s124, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s124)))),
% 5.46/4.97 inference(transitivity,[status(thm)],[33114, 33112])).
% 5.46/4.97 tff(33116,plain,
% 5.46/4.97 ((~![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(s199, c_ready)) | (~node2(s199, s124)) | m_main_v_state(s124, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.97 inference(quant_inst,[status(thm)],[])).
% 5.46/4.97 tff(33117,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s124, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s124))),
% 5.46/4.97 inference(modus_ponens,[status(thm)],[33116, 33115])).
% 5.46/4.97 tff(33118,plain,
% 5.46/4.97 ($false),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33117, 166, 29244, 32885, 32872, 33111])).
% 5.46/4.97 tff(33119,plain,((~trans(s199, s124)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.97 tff(33120,plain,
% 5.46/4.97 (~trans(s199, s124)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33119, 32871])).
% 5.46/4.97 tff(33121,plain,
% 5.46/4.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s123)) | node2(s199, s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s123)) | node2(s199, s123))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33122,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s123)) | node2(s199, s123))),
% 5.46/4.97 inference(quant_inst,[status(thm)],[])).
% 5.46/4.97 tff(33123,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s123)) | node2(s199, s123)),
% 5.46/4.97 inference(modus_ponens,[status(thm)],[33122, 33121])).
% 5.46/4.97 tff(33124,plain,
% 5.46/4.97 (node2(s199, s123)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33123, 11441, 7])).
% 5.46/4.97 tff(33125,plain,
% 5.46/4.97 (always3(s123)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[24908, 11441])).
% 5.46/4.97 tff(33126,plain,
% 5.46/4.97 (~m_main_v_state(s123, c_busy)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[18651, 145, 33125])).
% 5.46/4.97 tff(33127,plain,
% 5.46/4.97 (((~![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(s123, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s123)))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33128,plain,
% 5.46/4.97 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s123)) | m_main_v_state(s123, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s123, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s123)))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33129,plain,
% 5.46/4.97 (((~![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(s199, c_ready)) | (~node2(s199, s123)) | m_main_v_state(s123, 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(s123, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s123))))),
% 5.46/4.97 inference(monotonicity,[status(thm)],[33128])).
% 5.46/4.97 tff(33130,plain,
% 5.46/4.97 (((~![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(s199, c_ready)) | (~node2(s199, s123)) | m_main_v_state(s123, 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(s123, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s123)))),
% 5.46/4.97 inference(transitivity,[status(thm)],[33129, 33127])).
% 5.46/4.97 tff(33131,plain,
% 5.46/4.97 ((~![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(s199, c_ready)) | (~node2(s199, s123)) | m_main_v_state(s123, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.97 inference(quant_inst,[status(thm)],[])).
% 5.46/4.97 tff(33132,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s123, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s123))),
% 5.46/4.97 inference(modus_ponens,[status(thm)],[33131, 33130])).
% 5.46/4.97 tff(33133,plain,
% 5.46/4.97 ($false),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33132, 166, 33126, 32885, 32872, 33124])).
% 5.46/4.97 tff(33134,plain,((~trans(s199, s123)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.97 tff(33135,plain,
% 5.46/4.97 (~trans(s199, s123)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33134, 32871])).
% 5.46/4.97 tff(33136,plain,
% 5.46/4.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s118)) | node2(s199, s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s118)) | node2(s199, s118))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33137,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s118)) | node2(s199, s118))),
% 5.46/4.97 inference(quant_inst,[status(thm)],[])).
% 5.46/4.97 tff(33138,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s118)) | node2(s199, s118)),
% 5.46/4.97 inference(modus_ponens,[status(thm)],[33137, 33136])).
% 5.46/4.97 tff(33139,plain,
% 5.46/4.97 (node2(s199, s118)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33138, 11969, 7])).
% 5.46/4.97 tff(33140,plain,
% 5.46/4.97 (always3(s118)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[24897, 11969])).
% 5.46/4.97 tff(33141,plain,
% 5.46/4.97 (~m_main_v_state(s118, c_busy)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[18383, 145, 33140])).
% 5.46/4.97 tff(33142,plain,
% 5.46/4.97 (((~![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(s118, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s118)))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33143,plain,
% 5.46/4.97 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s118)) | m_main_v_state(s118, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s118, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s118)))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33144,plain,
% 5.46/4.97 (((~![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(s199, c_ready)) | (~node2(s199, s118)) | m_main_v_state(s118, 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(s118, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s118))))),
% 5.46/4.97 inference(monotonicity,[status(thm)],[33143])).
% 5.46/4.97 tff(33145,plain,
% 5.46/4.97 (((~![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(s199, c_ready)) | (~node2(s199, s118)) | m_main_v_state(s118, 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(s118, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s118)))),
% 5.46/4.97 inference(transitivity,[status(thm)],[33144, 33142])).
% 5.46/4.97 tff(33146,plain,
% 5.46/4.97 ((~![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(s199, c_ready)) | (~node2(s199, s118)) | m_main_v_state(s118, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.97 inference(quant_inst,[status(thm)],[])).
% 5.46/4.97 tff(33147,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s118, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s118))),
% 5.46/4.97 inference(modus_ponens,[status(thm)],[33146, 33145])).
% 5.46/4.97 tff(33148,plain,
% 5.46/4.97 ($false),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33147, 166, 33141, 32885, 32872, 33139])).
% 5.46/4.97 tff(33149,plain,((~trans(s199, s118)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.97 tff(33150,plain,
% 5.46/4.97 (~trans(s199, s118)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33149, 32871])).
% 5.46/4.97 tff(33151,plain,
% 5.46/4.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s150)) | node2(s199, s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s150)) | node2(s199, s150))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33152,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s150)) | node2(s199, s150))),
% 5.46/4.97 inference(quant_inst,[status(thm)],[])).
% 5.46/4.97 tff(33153,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s150)) | node2(s199, s150)),
% 5.46/4.97 inference(modus_ponens,[status(thm)],[33152, 33151])).
% 5.46/4.97 tff(33154,plain,
% 5.46/4.97 (node2(s199, s150)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33153, 11881, 7])).
% 5.46/4.97 tff(33155,plain,
% 5.46/4.97 (((~![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(s150, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s150)))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33156,plain,
% 5.46/4.97 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s150)) | m_main_v_state(s150, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s150, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s150)))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33157,plain,
% 5.46/4.97 (((~![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(s199, c_ready)) | (~node2(s199, s150)) | m_main_v_state(s150, 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(s150, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s150))))),
% 5.46/4.97 inference(monotonicity,[status(thm)],[33156])).
% 5.46/4.97 tff(33158,plain,
% 5.46/4.97 (((~![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(s199, c_ready)) | (~node2(s199, s150)) | m_main_v_state(s150, 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(s150, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s150)))),
% 5.46/4.97 inference(transitivity,[status(thm)],[33157, 33155])).
% 5.46/4.97 tff(33159,plain,
% 5.46/4.97 ((~![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(s199, c_ready)) | (~node2(s199, s150)) | m_main_v_state(s150, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.97 inference(quant_inst,[status(thm)],[])).
% 5.46/4.97 tff(33160,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s150, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s150))),
% 5.46/4.97 inference(modus_ponens,[status(thm)],[33159, 33158])).
% 5.46/4.97 tff(33161,plain,
% 5.46/4.97 ($false),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33160, 166, 27395, 32885, 32872, 33154])).
% 5.46/4.97 tff(33162,plain,((~trans(s199, s150)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.97 tff(33163,plain,
% 5.46/4.97 (~trans(s199, s150)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33162, 32871])).
% 5.46/4.97 tff(33164,plain,
% 5.46/4.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s153)) | node2(s199, s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s153)) | node2(s199, s153))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33165,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s153)) | node2(s199, s153))),
% 5.46/4.97 inference(quant_inst,[status(thm)],[])).
% 5.46/4.97 tff(33166,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s153)) | node2(s199, s153)),
% 5.46/4.97 inference(modus_ponens,[status(thm)],[33165, 33164])).
% 5.46/4.97 tff(33167,plain,
% 5.46/4.97 (node2(s199, s153)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33166, 11936, 7])).
% 5.46/4.97 tff(33168,plain,
% 5.46/4.97 (~m_main_v_state(s153, c_busy)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[9181, 145, 27300])).
% 5.46/4.97 tff(33169,plain,
% 5.46/4.97 (((~![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(s153, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s153)))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33170,plain,
% 5.46/4.97 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s153)) | m_main_v_state(s153, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s153, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s153)))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33171,plain,
% 5.46/4.97 (((~![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(s199, c_ready)) | (~node2(s199, s153)) | m_main_v_state(s153, 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(s153, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s153))))),
% 5.46/4.97 inference(monotonicity,[status(thm)],[33170])).
% 5.46/4.97 tff(33172,plain,
% 5.46/4.97 (((~![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(s199, c_ready)) | (~node2(s199, s153)) | m_main_v_state(s153, 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(s153, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s153)))),
% 5.46/4.97 inference(transitivity,[status(thm)],[33171, 33169])).
% 5.46/4.97 tff(33173,plain,
% 5.46/4.97 ((~![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(s199, c_ready)) | (~node2(s199, s153)) | m_main_v_state(s153, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.97 inference(quant_inst,[status(thm)],[])).
% 5.46/4.97 tff(33174,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s153, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s153))),
% 5.46/4.97 inference(modus_ponens,[status(thm)],[33173, 33172])).
% 5.46/4.97 tff(33175,plain,
% 5.46/4.97 ($false),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33174, 166, 33168, 32885, 32872, 33167])).
% 5.46/4.97 tff(33176,plain,((~trans(s199, s153)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.97 tff(33177,plain,
% 5.46/4.97 (~trans(s199, s153)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33176, 32871])).
% 5.46/4.97 tff(33178,plain,
% 5.46/4.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s151)) | node2(s199, s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s151)) | node2(s199, s151))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33179,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s151)) | node2(s199, s151))),
% 5.46/4.97 inference(quant_inst,[status(thm)],[])).
% 5.46/4.97 tff(33180,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s151)) | node2(s199, s151)),
% 5.46/4.97 inference(modus_ponens,[status(thm)],[33179, 33178])).
% 5.46/4.97 tff(33181,plain,
% 5.46/4.97 (node2(s199, s151)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33180, 12596, 7])).
% 5.46/4.97 tff(33182,plain,
% 5.46/4.97 (((~![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(s151, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s151)))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33183,plain,
% 5.46/4.97 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s151)) | m_main_v_state(s151, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s151, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s151)))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33184,plain,
% 5.46/4.97 (((~![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(s199, c_ready)) | (~node2(s199, s151)) | m_main_v_state(s151, 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(s151, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s151))))),
% 5.46/4.97 inference(monotonicity,[status(thm)],[33183])).
% 5.46/4.97 tff(33185,plain,
% 5.46/4.97 (((~![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(s199, c_ready)) | (~node2(s199, s151)) | m_main_v_state(s151, 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(s151, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s151)))),
% 5.46/4.97 inference(transitivity,[status(thm)],[33184, 33182])).
% 5.46/4.97 tff(33186,plain,
% 5.46/4.97 ((~![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(s199, c_ready)) | (~node2(s199, s151)) | m_main_v_state(s151, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.97 inference(quant_inst,[status(thm)],[])).
% 5.46/4.97 tff(33187,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s151, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s151))),
% 5.46/4.97 inference(modus_ponens,[status(thm)],[33186, 33185])).
% 5.46/4.97 tff(33188,plain,
% 5.46/4.97 ($false),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33187, 166, 27037, 32885, 32872, 33181])).
% 5.46/4.97 tff(33189,plain,((~trans(s199, s151)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.97 tff(33190,plain,
% 5.46/4.97 (~trans(s199, s151)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33189, 32871])).
% 5.46/4.97 tff(33191,assumption,(~node2(s199, s133)), introduced(assumption)).
% 5.46/4.97 tff(33192,plain,
% 5.46/4.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s133)) | node2(s199, s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s133)) | node2(s199, s133))),
% 5.46/4.97 inference(rewrite,[status(thm)],[])).
% 5.46/4.97 tff(33193,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s133)) | node2(s199, s133))),
% 5.46/4.97 inference(quant_inst,[status(thm)],[])).
% 5.46/4.97 tff(33194,plain,
% 5.46/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s133)) | node2(s199, s133)),
% 5.46/4.97 inference(modus_ponens,[status(thm)],[33193, 33192])).
% 5.46/4.97 tff(33195,plain,
% 5.46/4.97 ($false),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33194, 12893, 7, 33191])).
% 5.46/4.97 tff(33196,plain,((~trans(s199, s133)) | node2(s199, s133)), inference(lemma,lemma(discharge,[]))).
% 5.46/4.97 tff(33197,plain,
% 5.46/4.97 (node2(s199, s133)),
% 5.46/4.97 inference(unit_resolution,[status(thm)],[33196, 12893])).
% 5.46/4.97 tff(33198,assumption,(node2(s199, s133)), introduced(assumption)).
% 5.46/4.97 tff(33199,plain,
% 5.46/4.97 (((~![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(s133, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s133)))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33200,plain,
% 5.46/4.98 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s133)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s133, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s133)))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33201,plain,
% 5.46/4.98 (((~![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(s199, c_ready)) | (~node2(s199, s133)) | m_main_v_state(s133, 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(s133, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s133))))),
% 5.46/4.98 inference(monotonicity,[status(thm)],[33200])).
% 5.46/4.98 tff(33202,plain,
% 5.46/4.98 (((~![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(s199, c_ready)) | (~node2(s199, s133)) | m_main_v_state(s133, 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(s133, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s133)))),
% 5.46/4.98 inference(transitivity,[status(thm)],[33201, 33199])).
% 5.46/4.98 tff(33203,plain,
% 5.46/4.98 ((~![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(s199, c_ready)) | (~node2(s199, s133)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.98 inference(quant_inst,[status(thm)],[])).
% 5.46/4.98 tff(33204,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s133, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s133))),
% 5.46/4.98 inference(modus_ponens,[status(thm)],[33203, 33202])).
% 5.46/4.98 tff(33205,plain,
% 5.46/4.98 ($false),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33204, 166, 31448, 32885, 32872, 33198])).
% 5.46/4.98 tff(33206,plain,((~node2(s199, s133)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.98 tff(33207,plain,
% 5.46/4.98 (m_main_v_state(s133, c_busy)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33206, 33197, 32872])).
% 5.46/4.98 tff(33208,plain,
% 5.46/4.98 ($false),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[18860, 145, 25064, 33207])).
% 5.46/4.98 tff(33209,plain,((~trans(s199, s133)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.98 tff(33210,plain,
% 5.46/4.98 (~trans(s199, s133)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33209, 32871])).
% 5.46/4.98 tff(33211,assumption,(~node2(s199, s148)), introduced(assumption)).
% 5.46/4.98 tff(33212,plain,
% 5.46/4.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s148)) | node2(s199, s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s148)) | node2(s199, s148))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33213,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s148)) | node2(s199, s148))),
% 5.46/4.98 inference(quant_inst,[status(thm)],[])).
% 5.46/4.98 tff(33214,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s148)) | node2(s199, s148)),
% 5.46/4.98 inference(modus_ponens,[status(thm)],[33213, 33212])).
% 5.46/4.98 tff(33215,plain,
% 5.46/4.98 ($false),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33214, 11452, 7, 33211])).
% 5.46/4.98 tff(33216,plain,((~trans(s199, s148)) | node2(s199, s148)), inference(lemma,lemma(discharge,[]))).
% 5.46/4.98 tff(33217,plain,
% 5.46/4.98 (node2(s199, s148)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33216, 11452])).
% 5.46/4.98 tff(33218,assumption,(node2(s199, s148)), introduced(assumption)).
% 5.46/4.98 tff(33219,assumption,(~m_main_v_state(s148, c_busy)), introduced(assumption)).
% 5.46/4.98 tff(33220,plain,
% 5.46/4.98 (((~![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(s148, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s148)))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33221,plain,
% 5.46/4.98 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s148)) | m_main_v_state(s148, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s148, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s148)))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33222,plain,
% 5.46/4.98 (((~![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(s199, c_ready)) | (~node2(s199, s148)) | m_main_v_state(s148, 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(s148, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s148))))),
% 5.46/4.98 inference(monotonicity,[status(thm)],[33221])).
% 5.46/4.98 tff(33223,plain,
% 5.46/4.98 (((~![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(s199, c_ready)) | (~node2(s199, s148)) | m_main_v_state(s148, 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(s148, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s148)))),
% 5.46/4.98 inference(transitivity,[status(thm)],[33222, 33220])).
% 5.46/4.98 tff(33224,plain,
% 5.46/4.98 ((~![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(s199, c_ready)) | (~node2(s199, s148)) | m_main_v_state(s148, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.98 inference(quant_inst,[status(thm)],[])).
% 5.46/4.98 tff(33225,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s148, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s148))),
% 5.46/4.98 inference(modus_ponens,[status(thm)],[33224, 33223])).
% 5.46/4.98 tff(33226,plain,
% 5.46/4.98 ($false),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33225, 166, 33219, 32885, 32872, 33218])).
% 5.46/4.98 tff(33227,plain,((~node2(s199, s148)) | m_main_v_state(s148, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.98 tff(33228,plain,
% 5.46/4.98 (m_main_v_state(s148, c_busy)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33227, 33217, 32872])).
% 5.46/4.98 tff(33229,plain,
% 5.46/4.98 (always3(s148)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[25535, 11452])).
% 5.46/4.98 tff(33230,plain,
% 5.46/4.98 ($false),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[9303, 145, 33229, 33228])).
% 5.46/4.98 tff(33231,plain,((~trans(s199, s148)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.98 tff(33232,plain,
% 5.46/4.98 (~trans(s199, s148)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33231, 32871])).
% 5.46/4.98 tff(33233,plain,
% 5.46/4.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s113)) | node2(s199, s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s113)) | node2(s199, s113))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33234,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s113)) | node2(s199, s113))),
% 5.46/4.98 inference(quant_inst,[status(thm)],[])).
% 5.46/4.98 tff(33235,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s113)) | node2(s199, s113)),
% 5.46/4.98 inference(modus_ponens,[status(thm)],[33234, 33233])).
% 5.46/4.98 tff(33236,plain,
% 5.46/4.98 (node2(s199, s113)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33235, 12651, 7])).
% 5.46/4.98 tff(33237,plain,
% 5.46/4.98 (((~![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(s113, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s113)))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33238,plain,
% 5.46/4.98 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s113)) | m_main_v_state(s113, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s113, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s113)))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33239,plain,
% 5.46/4.98 (((~![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(s199, c_ready)) | (~node2(s199, s113)) | m_main_v_state(s113, 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(s113, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s113))))),
% 5.46/4.98 inference(monotonicity,[status(thm)],[33238])).
% 5.46/4.98 tff(33240,plain,
% 5.46/4.98 (((~![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(s199, c_ready)) | (~node2(s199, s113)) | m_main_v_state(s113, 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(s113, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s113)))),
% 5.46/4.98 inference(transitivity,[status(thm)],[33239, 33237])).
% 5.46/4.98 tff(33241,plain,
% 5.46/4.98 ((~![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(s199, c_ready)) | (~node2(s199, s113)) | m_main_v_state(s113, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.98 inference(quant_inst,[status(thm)],[])).
% 5.46/4.98 tff(33242,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s113, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s113))),
% 5.46/4.98 inference(modus_ponens,[status(thm)],[33241, 33240])).
% 5.46/4.98 tff(33243,plain,
% 5.46/4.98 ($false),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33242, 166, 31852, 32885, 32872, 33236])).
% 5.46/4.98 tff(33244,plain,((~trans(s199, s113)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.98 tff(33245,plain,
% 5.46/4.98 (~trans(s199, s113)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33244, 32871])).
% 5.46/4.98 tff(33246,plain,
% 5.46/4.98 (~always3(s164)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4094, 25835])).
% 5.46/4.98 tff(33247,plain,
% 5.46/4.98 (~always3(s163)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4106, 33246])).
% 5.46/4.98 tff(33248,plain,
% 5.46/4.98 (~always3(s162)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4118, 33247])).
% 5.46/4.98 tff(33249,plain,
% 5.46/4.98 (~always3(s161)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4130, 33248])).
% 5.46/4.98 tff(33250,plain,
% 5.46/4.98 (~always3(s160)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4142, 33249])).
% 5.46/4.98 tff(33251,plain,
% 5.46/4.98 (~always3(s159)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4154, 33250])).
% 5.46/4.98 tff(33252,plain,
% 5.46/4.98 (~always3(s158)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4166, 33251])).
% 5.46/4.98 tff(33253,plain,
% 5.46/4.98 (~always3(s157)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4178, 33252])).
% 5.46/4.98 tff(33254,plain,
% 5.46/4.98 (~always3(s156)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4190, 33253])).
% 5.46/4.98 tff(33255,plain,
% 5.46/4.98 (~always3(s155)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4202, 33254])).
% 5.46/4.98 tff(33256,plain,
% 5.46/4.98 (~always3(s154)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4214, 33255])).
% 5.46/4.98 tff(33257,plain,
% 5.46/4.98 (~always3(s153)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4226, 33256])).
% 5.46/4.98 tff(33258,plain,
% 5.46/4.98 (~always3(s152)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4238, 33257])).
% 5.46/4.98 tff(33259,plain,
% 5.46/4.98 (~always3(s151)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4250, 33258])).
% 5.46/4.98 tff(33260,plain,
% 5.46/4.98 (~always3(s150)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4262, 33259])).
% 5.46/4.98 tff(33261,plain,
% 5.46/4.98 (~always3(s149)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4274, 33260])).
% 5.46/4.98 tff(33262,plain,
% 5.46/4.98 (~always3(s148)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4286, 33261])).
% 5.46/4.98 tff(33263,plain,
% 5.46/4.98 (~always3(s147)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4298, 33262])).
% 5.46/4.98 tff(33264,plain,
% 5.46/4.98 (~always3(s146)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[4310, 33263])).
% 5.46/4.98 tff(33265,plain,
% 5.46/4.98 (~trans(s199, s146)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[25548, 33264])).
% 5.46/4.98 tff(33266,plain,
% 5.46/4.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s157)) | node2(s199, s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s157)) | node2(s199, s157))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33267,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s157)) | node2(s199, s157))),
% 5.46/4.98 inference(quant_inst,[status(thm)],[])).
% 5.46/4.98 tff(33268,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s157)) | node2(s199, s157)),
% 5.46/4.98 inference(modus_ponens,[status(thm)],[33267, 33266])).
% 5.46/4.98 tff(33269,plain,
% 5.46/4.98 (node2(s199, s157)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33268, 11859, 7])).
% 5.46/4.98 tff(33270,plain,
% 5.46/4.98 (always3(s157)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[25610, 11859])).
% 5.46/4.98 tff(33271,plain,
% 5.46/4.98 (~m_main_v_state(s157, c_busy)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[21636, 145, 33270])).
% 5.46/4.98 tff(33272,plain,
% 5.46/4.98 (((~![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(s157, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s157)))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33273,plain,
% 5.46/4.98 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s157)) | m_main_v_state(s157, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s157, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s157)))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33274,plain,
% 5.46/4.98 (((~![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(s199, c_ready)) | (~node2(s199, s157)) | m_main_v_state(s157, 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(s157, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s157))))),
% 5.46/4.98 inference(monotonicity,[status(thm)],[33273])).
% 5.46/4.98 tff(33275,plain,
% 5.46/4.98 (((~![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(s199, c_ready)) | (~node2(s199, s157)) | m_main_v_state(s157, 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(s157, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s157)))),
% 5.46/4.98 inference(transitivity,[status(thm)],[33274, 33272])).
% 5.46/4.98 tff(33276,plain,
% 5.46/4.98 ((~![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(s199, c_ready)) | (~node2(s199, s157)) | m_main_v_state(s157, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.98 inference(quant_inst,[status(thm)],[])).
% 5.46/4.98 tff(33277,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s157, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s157))),
% 5.46/4.98 inference(modus_ponens,[status(thm)],[33276, 33275])).
% 5.46/4.98 tff(33278,plain,
% 5.46/4.98 ($false),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33277, 166, 33271, 32885, 32872, 33269])).
% 5.46/4.98 tff(33279,plain,((~trans(s199, s157)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.98 tff(33280,plain,
% 5.46/4.98 (~trans(s199, s157)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33279, 32872])).
% 5.46/4.98 tff(33281,plain,
% 5.46/4.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s154)) | node2(s199, s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s154)) | node2(s199, s154))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33282,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s154)) | node2(s199, s154))),
% 5.46/4.98 inference(quant_inst,[status(thm)],[])).
% 5.46/4.98 tff(33283,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s154)) | node2(s199, s154)),
% 5.46/4.98 inference(modus_ponens,[status(thm)],[33282, 33281])).
% 5.46/4.98 tff(33284,plain,
% 5.46/4.98 (node2(s199, s154)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33283, 13311, 7])).
% 5.46/4.98 tff(33285,plain,
% 5.46/4.98 (always3(s154)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[25703, 13311])).
% 5.46/4.98 tff(33286,plain,
% 5.46/4.98 (~m_main_v_state(s154, c_busy)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[9165, 145, 33285])).
% 5.46/4.98 tff(33287,plain,
% 5.46/4.98 (((~![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(s154, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s154)))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33288,plain,
% 5.46/4.98 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s154)) | m_main_v_state(s154, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s154, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s154)))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33289,plain,
% 5.46/4.98 (((~![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(s199, c_ready)) | (~node2(s199, s154)) | m_main_v_state(s154, 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(s154, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s154))))),
% 5.46/4.98 inference(monotonicity,[status(thm)],[33288])).
% 5.46/4.98 tff(33290,plain,
% 5.46/4.98 (((~![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(s199, c_ready)) | (~node2(s199, s154)) | m_main_v_state(s154, 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(s154, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s154)))),
% 5.46/4.98 inference(transitivity,[status(thm)],[33289, 33287])).
% 5.46/4.98 tff(33291,plain,
% 5.46/4.98 ((~![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(s199, c_ready)) | (~node2(s199, s154)) | m_main_v_state(s154, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.98 inference(quant_inst,[status(thm)],[])).
% 5.46/4.98 tff(33292,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s154, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s154))),
% 5.46/4.98 inference(modus_ponens,[status(thm)],[33291, 33290])).
% 5.46/4.98 tff(33293,plain,
% 5.46/4.98 ($false),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33292, 166, 33286, 32885, 32872, 33284])).
% 5.46/4.98 tff(33294,plain,((~trans(s199, s154)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.98 tff(33295,plain,
% 5.46/4.98 (~trans(s199, s154)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33294, 32872])).
% 5.46/4.98 tff(33296,plain,
% 5.46/4.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s152)) | node2(s199, s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s152)) | node2(s199, s152))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33297,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s152)) | node2(s199, s152))),
% 5.46/4.98 inference(quant_inst,[status(thm)],[])).
% 5.46/4.98 tff(33298,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s152)) | node2(s199, s152)),
% 5.46/4.98 inference(modus_ponens,[status(thm)],[33297, 33296])).
% 5.46/4.98 tff(33299,plain,
% 5.46/4.98 (node2(s199, s152)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33298, 13102, 7])).
% 5.46/4.98 tff(33300,plain,
% 5.46/4.98 (~m_main_v_state(s152, c_busy)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[9220, 145, 27198])).
% 5.46/4.98 tff(33301,plain,
% 5.46/4.98 (((~![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(s152, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s152)))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33302,plain,
% 5.46/4.98 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s152)) | m_main_v_state(s152, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s152, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s152)))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33303,plain,
% 5.46/4.98 (((~![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(s199, c_ready)) | (~node2(s199, s152)) | m_main_v_state(s152, 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(s152, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s152))))),
% 5.46/4.98 inference(monotonicity,[status(thm)],[33302])).
% 5.46/4.98 tff(33304,plain,
% 5.46/4.98 (((~![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(s199, c_ready)) | (~node2(s199, s152)) | m_main_v_state(s152, 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(s152, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s152)))),
% 5.46/4.98 inference(transitivity,[status(thm)],[33303, 33301])).
% 5.46/4.98 tff(33305,plain,
% 5.46/4.98 ((~![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(s199, c_ready)) | (~node2(s199, s152)) | m_main_v_state(s152, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.98 inference(quant_inst,[status(thm)],[])).
% 5.46/4.98 tff(33306,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s152, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s152))),
% 5.46/4.98 inference(modus_ponens,[status(thm)],[33305, 33304])).
% 5.46/4.98 tff(33307,plain,
% 5.46/4.98 ($false),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33306, 166, 33300, 32885, 32872, 33299])).
% 5.46/4.98 tff(33308,plain,((~trans(s199, s152)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.98 tff(33309,plain,
% 5.46/4.98 (~trans(s199, s152)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33308, 32872])).
% 5.46/4.98 tff(33310,plain,
% 5.46/4.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s155)) | node2(s199, s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s155)) | node2(s199, s155))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33311,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s155)) | node2(s199, s155))),
% 5.46/4.98 inference(quant_inst,[status(thm)],[])).
% 5.46/4.98 tff(33312,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s155)) | node2(s199, s155)),
% 5.46/4.98 inference(modus_ponens,[status(thm)],[33311, 33310])).
% 5.46/4.98 tff(33313,plain,
% 5.46/4.98 (node2(s199, s155)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33312, 11595, 7])).
% 5.46/4.98 tff(33314,plain,
% 5.46/4.98 (((~![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(s155, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s155)))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33315,plain,
% 5.46/4.98 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s155)) | m_main_v_state(s155, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s155, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s155)))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33316,plain,
% 5.46/4.98 (((~![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(s199, c_ready)) | (~node2(s199, s155)) | m_main_v_state(s155, 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(s155, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s155))))),
% 5.46/4.98 inference(monotonicity,[status(thm)],[33315])).
% 5.46/4.98 tff(33317,plain,
% 5.46/4.98 (((~![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(s199, c_ready)) | (~node2(s199, s155)) | m_main_v_state(s155, 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(s155, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s155)))),
% 5.46/4.98 inference(transitivity,[status(thm)],[33316, 33314])).
% 5.46/4.98 tff(33318,plain,
% 5.46/4.98 ((~![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(s199, c_ready)) | (~node2(s199, s155)) | m_main_v_state(s155, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.98 inference(quant_inst,[status(thm)],[])).
% 5.46/4.98 tff(33319,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s155, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s155))),
% 5.46/4.98 inference(modus_ponens,[status(thm)],[33318, 33317])).
% 5.46/4.98 tff(33320,plain,
% 5.46/4.98 ($false),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33319, 166, 27461, 32885, 32872, 33313])).
% 5.46/4.98 tff(33321,plain,((~trans(s199, s155)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.98 tff(33322,plain,
% 5.46/4.98 (~trans(s199, s155)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33321, 32872])).
% 5.46/4.98 tff(33323,plain,
% 5.46/4.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s149)) | node2(s199, s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s149)) | node2(s199, s149))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33324,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s149)) | node2(s199, s149))),
% 5.46/4.98 inference(quant_inst,[status(thm)],[])).
% 5.46/4.98 tff(33325,plain,
% 5.46/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s149)) | node2(s199, s149)),
% 5.46/4.98 inference(modus_ponens,[status(thm)],[33324, 33323])).
% 5.46/4.98 tff(33326,plain,
% 5.46/4.98 (node2(s199, s149)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[33325, 12288, 7])).
% 5.46/4.98 tff(33327,plain,
% 5.46/4.98 (always3(s149)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[25661, 12288])).
% 5.46/4.98 tff(33328,plain,
% 5.46/4.98 (~m_main_v_state(s149, c_busy)),
% 5.46/4.98 inference(unit_resolution,[status(thm)],[9287, 145, 33327])).
% 5.46/4.98 tff(33329,plain,
% 5.46/4.98 (((~![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(s149, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s149)))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33330,plain,
% 5.46/4.98 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s149)) | m_main_v_state(s149, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s149, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s149)))),
% 5.46/4.98 inference(rewrite,[status(thm)],[])).
% 5.46/4.98 tff(33331,plain,
% 5.46/4.98 (((~![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(s199, c_ready)) | (~node2(s199, s149)) | m_main_v_state(s149, 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(s149, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s149))))),
% 5.46/4.99 inference(monotonicity,[status(thm)],[33330])).
% 5.46/4.99 tff(33332,plain,
% 5.46/4.99 (((~![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(s199, c_ready)) | (~node2(s199, s149)) | m_main_v_state(s149, 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(s149, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s149)))),
% 5.46/4.99 inference(transitivity,[status(thm)],[33331, 33329])).
% 5.46/4.99 tff(33333,plain,
% 5.46/4.99 ((~![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(s199, c_ready)) | (~node2(s199, s149)) | m_main_v_state(s149, c_busy) | (~m_main_v_request(s199)))),
% 5.46/4.99 inference(quant_inst,[status(thm)],[])).
% 5.46/4.99 tff(33334,plain,
% 5.46/4.99 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s149, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s149))),
% 5.46/4.99 inference(modus_ponens,[status(thm)],[33333, 33332])).
% 5.46/4.99 tff(33335,plain,
% 5.46/4.99 ($false),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33334, 166, 33328, 32885, 32872, 33326])).
% 5.46/4.99 tff(33336,plain,((~trans(s199, s149)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/4.99 tff(33337,plain,
% 5.46/4.99 (~trans(s199, s149)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33336, 32872])).
% 5.46/4.99 tff(33338,plain,
% 5.46/4.99 (~always3(s192)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3338, 3392])).
% 5.46/4.99 tff(33339,plain,
% 5.46/4.99 (~always3(s191)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3350, 33338])).
% 5.46/4.99 tff(33340,plain,
% 5.46/4.99 (~always3(s190)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3362, 33339])).
% 5.46/4.99 tff(33341,plain,
% 5.46/4.99 (~always3(s189)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3374, 33340])).
% 5.46/4.99 tff(33342,plain,
% 5.46/4.99 (~always3(s188)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3760, 33341])).
% 5.46/4.99 tff(33343,plain,
% 5.46/4.99 (~always3(s187)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3809, 33342])).
% 5.46/4.99 tff(33344,plain,
% 5.46/4.99 (~always3(s186)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3821, 33343])).
% 5.46/4.99 tff(33345,plain,
% 5.46/4.99 (~always3(s185)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3833, 33344])).
% 5.46/4.99 tff(33346,plain,
% 5.46/4.99 (~node4(s185)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[8225, 113, 33345])).
% 5.46/4.99 tff(33347,assumption,(~always3(s188)), introduced(assumption)).
% 5.46/4.99 tff(33348,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s188) | (~trans(s199, s188)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s188) | (~trans(s199, s188)))),
% 5.46/4.99 inference(rewrite,[status(thm)],[])).
% 5.46/4.99 tff(33349,plain,
% 5.46/4.99 (((~trans(s199, s188)) | (~always3(s199)) | always3(s188)) <=> ((~always3(s199)) | always3(s188) | (~trans(s199, s188)))),
% 5.46/4.99 inference(rewrite,[status(thm)],[])).
% 5.46/4.99 tff(33350,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s188)) | (~always3(s199)) | always3(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s188) | (~trans(s199, s188))))),
% 5.46/4.99 inference(monotonicity,[status(thm)],[33349])).
% 5.46/4.99 tff(33351,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s188)) | (~always3(s199)) | always3(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s188) | (~trans(s199, s188)))),
% 5.46/4.99 inference(transitivity,[status(thm)],[33350, 33348])).
% 5.46/4.99 tff(33352,plain,
% 5.46/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s188)) | (~always3(s199)) | always3(s188))),
% 5.46/4.99 inference(quant_inst,[status(thm)],[])).
% 5.46/4.99 tff(33353,plain,
% 5.46/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s188) | (~trans(s199, s188))),
% 5.46/4.99 inference(modus_ponens,[status(thm)],[33352, 33351])).
% 5.46/4.99 tff(33354,plain,
% 5.46/4.99 ($false),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33353, 12178, 38, 15335, 33347])).
% 5.46/4.99 tff(33355,plain,((~trans(s199, s188)) | (~always3(s199)) | always3(s188)), inference(lemma,lemma(discharge,[]))).
% 5.46/4.99 tff(33356,plain,
% 5.46/4.99 ((~trans(s199, s188)) | always3(s188)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33355, 15333])).
% 5.46/4.99 tff(33357,plain,
% 5.46/4.99 (~trans(s199, s188)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33356, 33342])).
% 5.46/4.99 tff(33358,plain,
% 5.46/4.99 (~always3(s147)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4298, 25526])).
% 5.46/4.99 tff(33359,plain,
% 5.46/4.99 (~trans(s199, s147)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25753, 33358])).
% 5.46/4.99 tff(33360,plain,
% 5.46/4.99 (~always3(s184)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3845, 33345])).
% 5.46/4.99 tff(33361,plain,
% 5.46/4.99 (~always3(s183)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3857, 33360])).
% 5.46/4.99 tff(33362,plain,
% 5.46/4.99 (~always3(s182)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3873, 33361])).
% 5.46/4.99 tff(33363,plain,
% 5.46/4.99 (~always3(s181)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3885, 33362])).
% 5.46/4.99 tff(33364,plain,
% 5.46/4.99 (~always3(s180)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3901, 33363])).
% 5.46/4.99 tff(33365,plain,
% 5.46/4.99 (~always3(s179)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3913, 33364])).
% 5.46/4.99 tff(33366,plain,
% 5.46/4.99 (~always3(s178)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3925, 33365])).
% 5.46/4.99 tff(33367,plain,
% 5.46/4.99 (~trans(s199, s178)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[26017, 33366])).
% 5.46/4.99 tff(33368,assumption,(~always3(s192)), introduced(assumption)).
% 5.46/4.99 tff(33369,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s192) | (~trans(s199, s192)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s192) | (~trans(s199, s192)))),
% 5.46/4.99 inference(rewrite,[status(thm)],[])).
% 5.46/4.99 tff(33370,plain,
% 5.46/4.99 (((~trans(s199, s192)) | (~always3(s199)) | always3(s192)) <=> ((~always3(s199)) | always3(s192) | (~trans(s199, s192)))),
% 5.46/4.99 inference(rewrite,[status(thm)],[])).
% 5.46/4.99 tff(33371,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s192)) | (~always3(s199)) | always3(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s192) | (~trans(s199, s192))))),
% 5.46/4.99 inference(monotonicity,[status(thm)],[33370])).
% 5.46/4.99 tff(33372,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s192)) | (~always3(s199)) | always3(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s192) | (~trans(s199, s192)))),
% 5.46/4.99 inference(transitivity,[status(thm)],[33371, 33369])).
% 5.46/4.99 tff(33373,plain,
% 5.46/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s192)) | (~always3(s199)) | always3(s192))),
% 5.46/4.99 inference(quant_inst,[status(thm)],[])).
% 5.46/4.99 tff(33374,plain,
% 5.46/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s192) | (~trans(s199, s192))),
% 5.46/4.99 inference(modus_ponens,[status(thm)],[33373, 33372])).
% 5.46/4.99 tff(33375,plain,
% 5.46/4.99 ($false),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33374, 13355, 38, 15335, 33368])).
% 5.46/4.99 tff(33376,plain,((~trans(s199, s192)) | (~always3(s199)) | always3(s192)), inference(lemma,lemma(discharge,[]))).
% 5.46/4.99 tff(33377,plain,
% 5.46/4.99 ((~trans(s199, s192)) | always3(s192)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33376, 15333])).
% 5.46/4.99 tff(33378,plain,
% 5.46/4.99 (~trans(s199, s192)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33377, 33338])).
% 5.46/4.99 tff(33379,assumption,(~always3(s190)), introduced(assumption)).
% 5.46/4.99 tff(33380,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s190) | (~trans(s199, s190)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s190) | (~trans(s199, s190)))),
% 5.46/4.99 inference(rewrite,[status(thm)],[])).
% 5.46/4.99 tff(33381,plain,
% 5.46/4.99 (((~trans(s199, s190)) | (~always3(s199)) | always3(s190)) <=> ((~always3(s199)) | always3(s190) | (~trans(s199, s190)))),
% 5.46/4.99 inference(rewrite,[status(thm)],[])).
% 5.46/4.99 tff(33382,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s190)) | (~always3(s199)) | always3(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s190) | (~trans(s199, s190))))),
% 5.46/4.99 inference(monotonicity,[status(thm)],[33381])).
% 5.46/4.99 tff(33383,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s190)) | (~always3(s199)) | always3(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s190) | (~trans(s199, s190)))),
% 5.46/4.99 inference(transitivity,[status(thm)],[33382, 33380])).
% 5.46/4.99 tff(33384,plain,
% 5.46/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s190)) | (~always3(s199)) | always3(s190))),
% 5.46/4.99 inference(quant_inst,[status(thm)],[])).
% 5.46/4.99 tff(33385,plain,
% 5.46/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s190) | (~trans(s199, s190))),
% 5.46/4.99 inference(modus_ponens,[status(thm)],[33384, 33383])).
% 5.46/4.99 tff(33386,plain,
% 5.46/4.99 ($false),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33385, 11375, 38, 15335, 33379])).
% 5.46/4.99 tff(33387,plain,((~trans(s199, s190)) | (~always3(s199)) | always3(s190)), inference(lemma,lemma(discharge,[]))).
% 5.46/4.99 tff(33388,plain,
% 5.46/4.99 ((~trans(s199, s190)) | always3(s190)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33387, 15333])).
% 5.46/4.99 tff(33389,plain,
% 5.46/4.99 (~trans(s199, s190)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33388, 33340])).
% 5.46/4.99 tff(33390,plain,
% 5.46/4.99 (~trans(s199, s182)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25816, 33362])).
% 5.46/4.99 tff(33391,plain,
% 5.46/4.99 (~trans(s199, s183)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25826, 33361])).
% 5.46/4.99 tff(33392,plain,
% 5.46/4.99 (~always3(s146)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4310, 33358])).
% 5.46/4.99 tff(33393,plain,
% 5.46/4.99 (~always3(s145)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4322, 33392])).
% 5.46/4.99 tff(33394,plain,
% 5.46/4.99 (~always3(s144)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4334, 33393])).
% 5.46/4.99 tff(33395,plain,
% 5.46/4.99 (~always3(s143)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4968, 33394])).
% 5.46/4.99 tff(33396,plain,
% 5.46/4.99 (~always3(s142)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5006, 33395])).
% 5.46/4.99 tff(33397,plain,
% 5.46/4.99 (~always3(s141)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5035, 33396])).
% 5.46/4.99 tff(33398,plain,
% 5.46/4.99 (~always3(s140)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5064, 33397])).
% 5.46/4.99 tff(33399,plain,
% 5.46/4.99 (~always3(s139)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5093, 33398])).
% 5.46/4.99 tff(33400,plain,
% 5.46/4.99 (~trans(s199, s139)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25424, 33399])).
% 5.46/4.99 tff(33401,plain,
% 5.46/4.99 (~always3(s138)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5122, 33399])).
% 5.46/4.99 tff(33402,plain,
% 5.46/4.99 (~always3(s137)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5151, 33401])).
% 5.46/4.99 tff(33403,plain,
% 5.46/4.99 (~always3(s136)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5180, 33402])).
% 5.46/4.99 tff(33404,plain,
% 5.46/4.99 (~always3(s135)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5209, 33403])).
% 5.46/4.99 tff(33405,plain,
% 5.46/4.99 (~always3(s134)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5238, 33404])).
% 5.46/4.99 tff(33406,plain,
% 5.46/4.99 (~always3(s133)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5267, 33405])).
% 5.46/4.99 tff(33407,plain,
% 5.46/4.99 (~always3(s132)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5296, 33406])).
% 5.46/4.99 tff(33408,plain,
% 5.46/4.99 (~always3(s131)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5325, 33407])).
% 5.46/4.99 tff(33409,plain,
% 5.46/4.99 (~always3(s130)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5354, 33408])).
% 5.46/4.99 tff(33410,plain,
% 5.46/4.99 (~always3(s129)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5383, 33409])).
% 5.46/4.99 tff(33411,plain,
% 5.46/4.99 (~always3(s128)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5412, 33410])).
% 5.46/4.99 tff(33412,plain,
% 5.46/4.99 (~always3(s127)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5436, 33411])).
% 5.46/4.99 tff(33413,plain,
% 5.46/4.99 (~always3(s126)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5448, 33412])).
% 5.46/4.99 tff(33414,plain,
% 5.46/4.99 (~always3(s125)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5460, 33413])).
% 5.46/4.99 tff(33415,plain,
% 5.46/4.99 (~always3(s124)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5472, 33414])).
% 5.46/4.99 tff(33416,plain,
% 5.46/4.99 (~always3(s123)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5484, 33415])).
% 5.46/4.99 tff(33417,plain,
% 5.46/4.99 (~trans(s199, s123)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[24908, 33416])).
% 5.46/4.99 tff(33418,plain,
% 5.46/4.99 (~trans(s199, s148)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25535, 25526])).
% 5.46/4.99 tff(33419,plain,
% 5.46/4.99 (~trans(s199, s146)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25548, 33392])).
% 5.46/4.99 tff(33420,plain,
% 5.46/4.99 (~trans(s199, s138)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25435, 33401])).
% 5.46/4.99 tff(33421,plain,
% 5.46/4.99 (~always3(s122)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5496, 33416])).
% 5.46/4.99 tff(33422,plain,
% 5.46/4.99 (~always3(s121)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5508, 33421])).
% 5.46/4.99 tff(33423,plain,
% 5.46/4.99 (~always3(s120)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5520, 33422])).
% 5.46/4.99 tff(33424,plain,
% 5.46/4.99 (~trans(s199, s120)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[24919, 33423])).
% 5.46/4.99 tff(33425,plain,
% 5.46/4.99 (~always3(s177)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3937, 33366])).
% 5.46/4.99 tff(33426,plain,
% 5.46/4.99 (~always3(s176)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3949, 33425])).
% 5.46/4.99 tff(33427,plain,
% 5.46/4.99 (~always3(s175)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3961, 33426])).
% 5.46/4.99 tff(33428,plain,
% 5.46/4.99 (~always3(s174)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3973, 33427])).
% 5.46/4.99 tff(33429,plain,
% 5.46/4.99 (~always3(s173)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3986, 33428])).
% 5.46/4.99 tff(33430,plain,
% 5.46/4.99 (~always3(s172)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[3998, 33429])).
% 5.46/4.99 tff(33431,plain,
% 5.46/4.99 (~always3(s171)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4010, 33430])).
% 5.46/4.99 tff(33432,plain,
% 5.46/4.99 (~always3(s170)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4022, 33431])).
% 5.46/4.99 tff(33433,plain,
% 5.46/4.99 (~always3(s169)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4034, 33432])).
% 5.46/4.99 tff(33434,plain,
% 5.46/4.99 (~always3(s168)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4046, 33433])).
% 5.46/4.99 tff(33435,plain,
% 5.46/4.99 (~always3(s167)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4058, 33434])).
% 5.46/4.99 tff(33436,plain,
% 5.46/4.99 (~always3(s166)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4070, 33435])).
% 5.46/4.99 tff(33437,plain,
% 5.46/4.99 (~always3(s165)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4082, 33436])).
% 5.46/4.99 tff(33438,plain,
% 5.46/4.99 (~always3(s164)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4094, 33437])).
% 5.46/4.99 tff(33439,plain,
% 5.46/4.99 (~always3(s163)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4106, 33438])).
% 5.46/4.99 tff(33440,plain,
% 5.46/4.99 (~always3(s162)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4118, 33439])).
% 5.46/4.99 tff(33441,plain,
% 5.46/4.99 (~trans(s199, s162)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25559, 33440])).
% 5.46/4.99 tff(33442,plain,
% 5.46/4.99 (~trans(s199, s130)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[24930, 33409])).
% 5.46/4.99 tff(33443,plain,
% 5.46/4.99 (~trans(s199, s143)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[26040, 33395])).
% 5.46/4.99 tff(33444,plain,
% 5.46/4.99 (~trans(s199, s165)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25844, 33437])).
% 5.46/4.99 tff(33445,plain,
% 5.46/4.99 (~trans(s199, s128)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[24941, 33411])).
% 5.46/4.99 tff(33446,plain,
% 5.46/4.99 (~always3(s161)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4130, 33440])).
% 5.46/4.99 tff(33447,plain,
% 5.46/4.99 (~always3(s160)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4142, 33446])).
% 5.46/4.99 tff(33448,plain,
% 5.46/4.99 (~always3(s159)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4154, 33447])).
% 5.46/4.99 tff(33449,plain,
% 5.46/4.99 (~trans(s199, s159)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25590, 33448])).
% 5.46/4.99 tff(33450,plain,
% 5.46/4.99 (~trans(s199, s174)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25855, 33428])).
% 5.46/4.99 tff(33451,plain,
% 5.46/4.99 (~trans(s199, s142)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25445, 33396])).
% 5.46/4.99 tff(33452,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s187) | (~trans(s199, s187)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s187) | (~trans(s199, s187)))),
% 5.46/4.99 inference(rewrite,[status(thm)],[])).
% 5.46/4.99 tff(33453,plain,
% 5.46/4.99 (((~trans(s199, s187)) | (~always3(s199)) | always3(s187)) <=> ((~always3(s199)) | always3(s187) | (~trans(s199, s187)))),
% 5.46/4.99 inference(rewrite,[status(thm)],[])).
% 5.46/4.99 tff(33454,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s187)) | (~always3(s199)) | always3(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s187) | (~trans(s199, s187))))),
% 5.46/4.99 inference(monotonicity,[status(thm)],[33453])).
% 5.46/4.99 tff(33455,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s187)) | (~always3(s199)) | always3(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s187) | (~trans(s199, s187)))),
% 5.46/4.99 inference(transitivity,[status(thm)],[33454, 33452])).
% 5.46/4.99 tff(33456,plain,
% 5.46/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s187)) | (~always3(s199)) | always3(s187))),
% 5.46/4.99 inference(quant_inst,[status(thm)],[])).
% 5.46/4.99 tff(33457,plain,
% 5.46/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s187) | (~trans(s199, s187))),
% 5.46/4.99 inference(modus_ponens,[status(thm)],[33456, 33455])).
% 5.46/4.99 tff(33458,plain,
% 5.46/4.99 ($false),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33457, 11749, 38, 15335, 8191])).
% 5.46/4.99 tff(33459,plain,((~trans(s199, s187)) | (~always3(s199)) | always3(s187)), inference(lemma,lemma(discharge,[]))).
% 5.46/4.99 tff(33460,plain,
% 5.46/4.99 ((~trans(s199, s187)) | always3(s187)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33459, 15333])).
% 5.46/4.99 tff(33461,plain,
% 5.46/4.99 (~trans(s199, s187)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33460, 33343])).
% 5.46/4.99 tff(33462,plain,
% 5.46/4.99 (~trans(s199, s181)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25866, 33363])).
% 5.46/4.99 tff(33463,plain,
% 5.46/4.99 (~trans(s199, s177)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25878, 33425])).
% 5.46/4.99 tff(33464,plain,
% 5.46/4.99 (~trans(s199, s179)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25888, 33365])).
% 5.46/4.99 tff(33465,plain,
% 5.46/4.99 (~trans(s199, s180)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25898, 33364])).
% 5.46/4.99 tff(33466,assumption,(~always3(s191)), introduced(assumption)).
% 5.46/4.99 tff(33467,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s191) | (~trans(s199, s191)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s191) | (~trans(s199, s191)))),
% 5.46/4.99 inference(rewrite,[status(thm)],[])).
% 5.46/4.99 tff(33468,plain,
% 5.46/4.99 (((~trans(s199, s191)) | (~always3(s199)) | always3(s191)) <=> ((~always3(s199)) | always3(s191) | (~trans(s199, s191)))),
% 5.46/4.99 inference(rewrite,[status(thm)],[])).
% 5.46/4.99 tff(33469,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s191)) | (~always3(s199)) | always3(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s191) | (~trans(s199, s191))))),
% 5.46/4.99 inference(monotonicity,[status(thm)],[33468])).
% 5.46/4.99 tff(33470,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s191)) | (~always3(s199)) | always3(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s191) | (~trans(s199, s191)))),
% 5.46/4.99 inference(transitivity,[status(thm)],[33469, 33467])).
% 5.46/4.99 tff(33471,plain,
% 5.46/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s191)) | (~always3(s199)) | always3(s191))),
% 5.46/4.99 inference(quant_inst,[status(thm)],[])).
% 5.46/4.99 tff(33472,plain,
% 5.46/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s191) | (~trans(s199, s191))),
% 5.46/4.99 inference(modus_ponens,[status(thm)],[33471, 33470])).
% 5.46/4.99 tff(33473,plain,
% 5.46/4.99 ($false),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33472, 11848, 38, 15335, 33466])).
% 5.46/4.99 tff(33474,plain,((~trans(s199, s191)) | (~always3(s199)) | always3(s191)), inference(lemma,lemma(discharge,[]))).
% 5.46/4.99 tff(33475,plain,
% 5.46/4.99 ((~trans(s199, s191)) | always3(s191)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33474, 15333])).
% 5.46/4.99 tff(33476,plain,
% 5.46/4.99 (~trans(s199, s191)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33475, 33339])).
% 5.46/4.99 tff(33477,plain,
% 5.46/4.99 (~trans(s199, s161)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25641, 33446])).
% 5.46/4.99 tff(33478,plain,
% 5.46/4.99 (~trans(s199, s164)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25914, 33438])).
% 5.46/4.99 tff(33479,plain,
% 5.46/4.99 (~always3(s119)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5532, 33423])).
% 5.46/4.99 tff(33480,plain,
% 5.46/4.99 (~always3(s118)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5544, 33479])).
% 5.46/4.99 tff(33481,plain,
% 5.46/4.99 (~trans(s199, s118)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[24897, 33480])).
% 5.46/4.99 tff(33482,plain,
% 5.46/4.99 (~trans(s199, s132)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[24951, 33407])).
% 5.46/4.99 tff(33483,plain,
% 5.46/4.99 (~node4(s187)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[8199, 113, 33343])).
% 5.46/4.99 tff(33484,plain,
% 5.46/4.99 (~always3(s117)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5556, 33480])).
% 5.46/4.99 tff(33485,plain,
% 5.46/4.99 (~always3(s116)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[5568, 33484])).
% 5.46/4.99 tff(33486,plain,
% 5.46/4.99 (~trans(s199, s116)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[30328, 33485])).
% 5.46/4.99 tff(33487,plain,
% 5.46/4.99 (~trans(s199, s144)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[26028, 33394])).
% 5.46/4.99 tff(33488,plain,
% 5.46/4.99 (~trans(s199, s119)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[28338, 33479])).
% 5.46/4.99 tff(33489,plain,
% 5.46/4.99 (~trans(s199, s140)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25455, 33398])).
% 5.46/4.99 tff(33490,plain,
% 5.46/4.99 (~trans(s199, s134)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25465, 33405])).
% 5.46/4.99 tff(33491,assumption,(~always3(s186)), introduced(assumption)).
% 5.46/4.99 tff(33492,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s186) | (~trans(s199, s186)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s186) | (~trans(s199, s186)))),
% 5.46/4.99 inference(rewrite,[status(thm)],[])).
% 5.46/4.99 tff(33493,plain,
% 5.46/4.99 (((~trans(s199, s186)) | (~always3(s199)) | always3(s186)) <=> ((~always3(s199)) | always3(s186) | (~trans(s199, s186)))),
% 5.46/4.99 inference(rewrite,[status(thm)],[])).
% 5.46/4.99 tff(33494,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s186)) | (~always3(s199)) | always3(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s186) | (~trans(s199, s186))))),
% 5.46/4.99 inference(monotonicity,[status(thm)],[33493])).
% 5.46/4.99 tff(33495,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s186)) | (~always3(s199)) | always3(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s186) | (~trans(s199, s186)))),
% 5.46/4.99 inference(transitivity,[status(thm)],[33494, 33492])).
% 5.46/4.99 tff(33496,plain,
% 5.46/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s186)) | (~always3(s199)) | always3(s186))),
% 5.46/4.99 inference(quant_inst,[status(thm)],[])).
% 5.46/4.99 tff(33497,plain,
% 5.46/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s186) | (~trans(s199, s186))),
% 5.46/4.99 inference(modus_ponens,[status(thm)],[33496, 33495])).
% 5.46/4.99 tff(33498,plain,
% 5.46/4.99 ($false),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33497, 12464, 38, 15335, 33491])).
% 5.46/4.99 tff(33499,plain,((~trans(s199, s186)) | (~always3(s199)) | always3(s186)), inference(lemma,lemma(discharge,[]))).
% 5.46/4.99 tff(33500,plain,
% 5.46/4.99 ((~trans(s199, s186)) | always3(s186)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33499, 15333])).
% 5.46/4.99 tff(33501,plain,
% 5.46/4.99 (~trans(s199, s186)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33500, 33344])).
% 5.46/4.99 tff(33502,plain,
% 5.46/4.99 (xuntil6(s161)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[21943, 33393])).
% 5.46/4.99 tff(33503,plain,
% 5.46/4.99 (until5(s162)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4601, 33502])).
% 5.46/4.99 tff(33504,plain,
% 5.46/4.99 (xuntil6(s162)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4596, 33503])).
% 5.46/4.99 tff(33505,plain,
% 5.46/4.99 (until5(s163)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4550, 33504])).
% 5.46/4.99 tff(33506,plain,
% 5.46/4.99 (xuntil6(s163)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[22393, 33505])).
% 5.46/4.99 tff(33507,plain,
% 5.46/4.99 (until5(s164)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4538, 33506])).
% 5.46/4.99 tff(33508,plain,
% 5.46/4.99 (xuntil6(s164)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[22396, 33507])).
% 5.46/4.99 tff(33509,plain,
% 5.46/4.99 (until5(s165)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4468, 33508])).
% 5.46/4.99 tff(33510,plain,
% 5.46/4.99 (xuntil6(s167)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[22443, 33509])).
% 5.46/4.99 tff(33511,plain,
% 5.46/4.99 (until5(s168)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4514, 33510])).
% 5.46/4.99 tff(33512,plain,
% 5.46/4.99 (xuntil6(s168)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[22446, 33511])).
% 5.46/4.99 tff(33513,plain,
% 5.46/4.99 (until5(s169)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4531, 33512])).
% 5.46/4.99 tff(33514,plain,
% 5.46/4.99 (xuntil6(s173)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[22988, 33513, 33507])).
% 5.46/4.99 tff(33515,plain,
% 5.46/4.99 (until5(s174)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[4356, 33514])).
% 5.46/4.99 tff(33516,plain,
% 5.46/4.99 (xuntil6(s174)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[23021, 33515])).
% 5.46/4.99 tff(33517,plain,
% 5.46/4.99 (until5(s175)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[8003, 33516])).
% 5.46/4.99 tff(33518,plain,
% 5.46/4.99 (xuntil6(s181)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[23201, 33517])).
% 5.46/4.99 tff(33519,plain,
% 5.46/4.99 (until5(s182)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[8126, 33518])).
% 5.46/4.99 tff(33520,plain,
% 5.46/4.99 (xuntil6(s182)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[8172, 33519])).
% 5.46/4.99 tff(33521,plain,
% 5.46/4.99 (until5(s183)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[8177, 33520])).
% 5.46/4.99 tff(33522,plain,
% 5.46/4.99 (xuntil6(s183)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[23255, 33521])).
% 5.46/4.99 tff(33523,plain,
% 5.46/4.99 (until5(s184)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[8189, 33522])).
% 5.46/4.99 tff(33524,plain,
% 5.46/4.99 (~trans(s199, s170)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25930, 33432])).
% 5.46/4.99 tff(33525,plain,
% 5.46/4.99 (~trans(s199, s175)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[26006, 33427])).
% 5.46/4.99 tff(33526,assumption,(~always3(s184)), introduced(assumption)).
% 5.46/4.99 tff(33527,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s184) | (~trans(s199, s184)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s184) | (~trans(s199, s184)))),
% 5.46/4.99 inference(rewrite,[status(thm)],[])).
% 5.46/4.99 tff(33528,plain,
% 5.46/4.99 (((~trans(s199, s184)) | (~always3(s199)) | always3(s184)) <=> ((~always3(s199)) | always3(s184) | (~trans(s199, s184)))),
% 5.46/4.99 inference(rewrite,[status(thm)],[])).
% 5.46/4.99 tff(33529,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s184)) | (~always3(s199)) | always3(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s184) | (~trans(s199, s184))))),
% 5.46/4.99 inference(monotonicity,[status(thm)],[33528])).
% 5.46/4.99 tff(33530,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s184)) | (~always3(s199)) | always3(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s184) | (~trans(s199, s184)))),
% 5.46/4.99 inference(transitivity,[status(thm)],[33529, 33527])).
% 5.46/4.99 tff(33531,plain,
% 5.46/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s184)) | (~always3(s199)) | always3(s184))),
% 5.46/4.99 inference(quant_inst,[status(thm)],[])).
% 5.46/4.99 tff(33532,plain,
% 5.46/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s184) | (~trans(s199, s184))),
% 5.46/4.99 inference(modus_ponens,[status(thm)],[33531, 33530])).
% 5.46/4.99 tff(33533,plain,
% 5.46/4.99 ($false),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33532, 13670, 38, 15335, 33526])).
% 5.46/4.99 tff(33534,plain,((~trans(s199, s184)) | (~always3(s199)) | always3(s184)), inference(lemma,lemma(discharge,[]))).
% 5.46/4.99 tff(33535,plain,
% 5.46/4.99 ((~trans(s199, s184)) | always3(s184)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33534, 15333])).
% 5.46/4.99 tff(33536,plain,
% 5.46/4.99 (~trans(s199, s184)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33535, 33360])).
% 5.46/4.99 tff(33537,plain,
% 5.46/4.99 (~trans(s199, s163)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25692, 33439])).
% 5.46/4.99 tff(33538,plain,
% 5.46/4.99 (~trans(s199, s172)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25943, 33430])).
% 5.46/4.99 tff(33539,plain,
% 5.46/4.99 (~trans(s199, s166)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25764, 33436])).
% 5.46/4.99 tff(33540,plain,
% 5.46/4.99 (~trans(s199, s173)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25953, 33429])).
% 5.46/4.99 tff(33541,plain,
% 5.46/4.99 (~trans(s199, s168)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25805, 33434])).
% 5.46/4.99 tff(33542,plain,
% 5.46/4.99 (~trans(s199, s169)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25965, 33433])).
% 5.46/4.99 tff(33543,plain,
% 5.46/4.99 (~trans(s199, s176)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25975, 33426])).
% 5.46/4.99 tff(33544,plain,
% 5.46/4.99 (~trans(s199, s167)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25985, 33435])).
% 5.46/4.99 tff(33545,plain,
% 5.46/4.99 (~trans(s199, s171)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25995, 33431])).
% 5.46/4.99 tff(33546,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s185) | (~trans(s199, s185)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s185) | (~trans(s199, s185)))),
% 5.46/4.99 inference(rewrite,[status(thm)],[])).
% 5.46/4.99 tff(33547,plain,
% 5.46/4.99 (((~trans(s199, s185)) | (~always3(s199)) | always3(s185)) <=> ((~always3(s199)) | always3(s185) | (~trans(s199, s185)))),
% 5.46/4.99 inference(rewrite,[status(thm)],[])).
% 5.46/4.99 tff(33548,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s185)) | (~always3(s199)) | always3(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s185) | (~trans(s199, s185))))),
% 5.46/4.99 inference(monotonicity,[status(thm)],[33547])).
% 5.46/4.99 tff(33549,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s185)) | (~always3(s199)) | always3(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s185) | (~trans(s199, s185)))),
% 5.46/4.99 inference(transitivity,[status(thm)],[33548, 33546])).
% 5.46/4.99 tff(33550,plain,
% 5.46/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s185)) | (~always3(s199)) | always3(s185))),
% 5.46/4.99 inference(quant_inst,[status(thm)],[])).
% 5.46/4.99 tff(33551,plain,
% 5.46/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s185) | (~trans(s199, s185))),
% 5.46/4.99 inference(modus_ponens,[status(thm)],[33550, 33549])).
% 5.46/4.99 tff(33552,plain,
% 5.46/4.99 ($false),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33551, 13412, 38, 15335, 23262])).
% 5.46/4.99 tff(33553,plain,((~trans(s199, s185)) | (~always3(s199)) | always3(s185)), inference(lemma,lemma(discharge,[]))).
% 5.46/4.99 tff(33554,plain,
% 5.46/4.99 ((~trans(s199, s185)) | always3(s185)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33553, 15333])).
% 5.46/4.99 tff(33555,plain,
% 5.46/4.99 (~trans(s199, s185)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[33554, 33345])).
% 5.46/4.99 tff(33556,plain,
% 5.46/4.99 (~trans(s199, s160)),
% 5.46/4.99 inference(unit_resolution,[status(thm)],[25672, 33447])).
% 5.46/4.99 tff(33557,plain,
% 5.46/4.99 (~node4(s189)),
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% 5.46/4.99 tff(33575,plain,
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% 5.46/4.99 tff(33578,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5664, 33577])).
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5676, 33578])).
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5688, 33579])).
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% 5.46/4.99 tff(33582,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5712, 33581])).
% 5.46/4.99 tff(33583,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5728, 33582])).
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5740, 33583])).
% 5.46/4.99 tff(33585,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5752, 33584])).
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5764, 33585])).
% 5.46/4.99 tff(33587,plain,
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% 5.46/4.99 tff(33588,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5788, 33587])).
% 5.46/4.99 tff(33589,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5800, 33588])).
% 5.46/4.99 tff(33590,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5812, 33589])).
% 5.46/4.99 tff(33591,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5824, 33590])).
% 5.46/4.99 tff(33592,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5836, 33591])).
% 5.46/4.99 tff(33593,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5848, 33592])).
% 5.46/4.99 tff(33594,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5860, 33593])).
% 5.46/4.99 tff(33595,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5872, 33594])).
% 5.46/4.99 tff(33596,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5884, 33595])).
% 5.46/4.99 tff(33597,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5896, 33596])).
% 5.46/4.99 tff(33598,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5908, 33597])).
% 5.46/4.99 tff(33599,plain,
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% 5.46/4.99 tff(33600,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5932, 33599])).
% 5.46/4.99 tff(33601,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[5944, 33600])).
% 5.46/4.99 tff(33602,plain,
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% 5.46/4.99 tff(33603,plain,
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% 5.46/4.99 tff(33604,plain,
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% 5.46/4.99 tff(33605,plain,
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% 5.46/4.99 tff(33606,plain,
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% 5.46/4.99 tff(33607,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6016, 33606])).
% 5.46/4.99 tff(33608,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6028, 33607])).
% 5.46/4.99 tff(33609,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6040, 33608])).
% 5.46/4.99 tff(33610,plain,
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% 5.46/4.99 tff(33611,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6064, 33610])).
% 5.46/4.99 tff(33612,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6076, 33611])).
% 5.46/4.99 tff(33613,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6088, 33612])).
% 5.46/4.99 tff(33614,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6100, 33613])).
% 5.46/4.99 tff(33615,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6112, 33614])).
% 5.46/4.99 tff(33616,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6124, 33615])).
% 5.46/4.99 tff(33617,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6136, 33616])).
% 5.46/4.99 tff(33618,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6148, 33617])).
% 5.46/4.99 tff(33619,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6160, 33618])).
% 5.46/4.99 tff(33620,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6172, 33619])).
% 5.46/4.99 tff(33621,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6184, 33620])).
% 5.46/4.99 tff(33622,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6196, 33621])).
% 5.46/4.99 tff(33623,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6208, 33622])).
% 5.46/4.99 tff(33624,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6220, 33623])).
% 5.46/4.99 tff(33625,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6232, 33624])).
% 5.46/4.99 tff(33626,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6244, 33625])).
% 5.46/4.99 tff(33627,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6256, 33626])).
% 5.46/4.99 tff(33628,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6268, 33627])).
% 5.46/4.99 tff(33629,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6280, 33628])).
% 5.46/4.99 tff(33630,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6292, 33629])).
% 5.46/4.99 tff(33631,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6304, 33630])).
% 5.46/4.99 tff(33632,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6316, 33631])).
% 5.46/4.99 tff(33633,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6328, 33632])).
% 5.46/4.99 tff(33634,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6340, 33633])).
% 5.46/4.99 tff(33635,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6352, 33634])).
% 5.46/4.99 tff(33636,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6364, 33635])).
% 5.46/4.99 tff(33637,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6376, 33636])).
% 5.46/4.99 tff(33638,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6388, 33637])).
% 5.46/4.99 tff(33639,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6400, 33638])).
% 5.46/4.99 tff(33640,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6412, 33639])).
% 5.46/4.99 tff(33641,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[6424, 33640])).
% 5.46/4.99 tff(33642,plain,
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% 5.46/4.99 tff(33643,plain,
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% 5.46/4.99 tff(33644,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[93, 33643])).
% 5.46/4.99 tff(33645,plain,
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% 5.46/4.99 tff(33646,plain,
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% 5.46/4.99 tff(33647,plain,
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% 5.46/4.99 tff(33648,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[2699, 33647])).
% 5.46/4.99 tff(33649,plain,
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% 5.46/4.99 tff(33650,plain,
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% 5.46/4.99 tff(33651,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[2399, 33650])).
% 5.46/4.99 tff(33652,plain,
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% 5.46/4.99 tff(33653,plain,
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% 5.46/4.99 tff(33654,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[2435, 33653])).
% 5.46/4.99 tff(33655,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[2447, 33654])).
% 5.46/4.99 tff(33656,plain,
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% 5.46/4.99 tff(33657,plain,
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% 5.46/4.99 tff(33658,plain,
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% 5.46/4.99 tff(33659,plain,
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% 5.46/4.99 tff(33660,plain,
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% 5.46/4.99 tff(33661,plain,
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% 5.46/4.99 tff(33662,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[1771, 33661])).
% 5.46/4.99 tff(33663,plain,
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% 5.46/4.99 tff(33664,plain,
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% 5.46/4.99 tff(33665,plain,
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% 5.46/4.99 tff(33666,plain,
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% 5.46/4.99 tff(33667,plain,
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% 5.46/4.99 tff(33668,plain,
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% 5.46/4.99 tff(33669,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[1395, 33668])).
% 5.46/4.99 tff(33670,plain,
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% 5.46/4.99 tff(33671,plain,
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% 5.46/4.99 tff(33672,plain,
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% 5.46/4.99 tff(33673,plain,
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% 5.46/4.99 tff(33674,plain,
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% 5.46/4.99 tff(33675,plain,
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% 5.46/4.99 tff(33676,plain,
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% 5.46/4.99 tff(33677,plain,
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% 5.46/4.99 tff(33678,plain,
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% 5.46/4.99 tff(33679,plain,
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% 5.46/4.99 tff(33680,plain,
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% 5.46/4.99 tff(33681,plain,
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% 5.46/4.99 tff(33682,plain,
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% 5.46/4.99 inference(unit_resolution,[status(thm)],[15344, 33681])).
% 5.46/4.99 tff(33683,plain,
% 5.46/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s189) | (~trans(s199, s189)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s189) | (~trans(s199, s189)))),
% 5.46/4.99 inference(rewrite,[status(thm)],[])).
% 5.46/4.99 tff(33684,plain,
% 5.46/4.99 (((~trans(s199, s189)) | (~always3(s199)) | always3(s189)) <=> ((~always3(s199)) | always3(s189) | (~trans(s199, s189)))),
% 5.46/4.99 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33685,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s189)) | (~always3(s199)) | always3(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s189) | (~trans(s199, s189))))),
% 5.46/5.00 inference(monotonicity,[status(thm)],[33684])).
% 5.46/5.00 tff(33686,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s189)) | (~always3(s199)) | always3(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s189) | (~trans(s199, s189)))),
% 5.46/5.00 inference(transitivity,[status(thm)],[33685, 33683])).
% 5.46/5.00 tff(33687,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s189)) | (~always3(s199)) | always3(s189))),
% 5.46/5.00 inference(quant_inst,[status(thm)],[])).
% 5.46/5.00 tff(33688,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s189) | (~trans(s199, s189))),
% 5.46/5.00 inference(modus_ponens,[status(thm)],[33687, 33686])).
% 5.46/5.00 tff(33689,plain,
% 5.46/5.00 ($false),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33688, 13423, 38, 15335, 23353])).
% 5.46/5.00 tff(33690,plain,((~trans(s199, s189)) | (~always3(s199)) | always3(s189)), inference(lemma,lemma(discharge,[]))).
% 5.46/5.00 tff(33691,plain,
% 5.46/5.00 ((~trans(s199, s189)) | always3(s189)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33690, 15333])).
% 5.46/5.00 tff(33692,plain,
% 5.46/5.00 (~trans(s199, s189)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33691, 33341])).
% 5.46/5.00 tff(33693,plain,
% 5.46/5.00 (~trans(s199, s96)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24195, 33590])).
% 5.46/5.00 tff(33694,plain,
% 5.46/5.00 (~trans(s199, s32)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15355, 33654])).
% 5.46/5.00 tff(33695,plain,
% 5.46/5.00 (~trans(s199, s8)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15365, 33678])).
% 5.46/5.00 tff(33696,plain,
% 5.46/5.00 (~trans(s199, s15)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15375, 33671])).
% 5.46/5.00 tff(33697,plain,
% 5.46/5.00 (~trans(s199, s16)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15386, 33670])).
% 5.46/5.00 tff(33698,plain,
% 5.46/5.00 (~trans(s199, s93)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24324, 33593])).
% 5.46/5.00 tff(33699,plain,
% 5.46/5.00 (~trans(s199, s108)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24334, 33578])).
% 5.46/5.00 tff(33700,plain,
% 5.46/5.00 (~trans(s199, s46)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17773, 33640])).
% 5.46/5.00 tff(33701,plain,
% 5.46/5.00 (~trans(s199, s38)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15407, 33648])).
% 5.46/5.00 tff(33702,plain,
% 5.46/5.00 (~trans(s199, s82)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24346, 33604])).
% 5.46/5.00 tff(33703,plain,
% 5.46/5.00 (~trans(s199, s95)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24356, 33591])).
% 5.46/5.00 tff(33704,plain,
% 5.46/5.00 (~trans(s199, s7)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15418, 33679])).
% 5.46/5.00 tff(33705,plain,
% 5.46/5.00 (~always3(s4)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[476, 33681])).
% 5.46/5.00 tff(33706,plain,
% 5.46/5.00 (~always3(s3)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[488, 33705])).
% 5.46/5.00 tff(33707,plain,
% 5.46/5.00 (~always3(s2)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[42, 33706])).
% 5.46/5.00 tff(33708,plain,
% 5.46/5.00 (~always3(s1)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[54, 33707])).
% 5.46/5.00 tff(33709,plain,
% 5.46/5.00 (~trans(s199, s1)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15433, 33708])).
% 5.46/5.00 tff(33710,plain,
% 5.46/5.00 (~trans(s199, s6)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15443, 33680])).
% 5.46/5.00 tff(33711,plain,
% 5.46/5.00 (~trans(s199, s72)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17973, 33614])).
% 5.46/5.00 tff(33712,plain,
% 5.46/5.00 (~trans(s199, s23)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15633, 33663])).
% 5.46/5.00 tff(33713,plain,
% 5.46/5.00 (~trans(s199, s44)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15675, 33642])).
% 5.46/5.00 tff(33714,plain,
% 5.46/5.00 (~trans(s199, s20)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15685, 33666])).
% 5.46/5.00 tff(33715,plain,
% 5.46/5.00 (~trans(s199, s126)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[25012, 33413])).
% 5.46/5.00 tff(33716,plain,
% 5.46/5.00 (~trans(s199, s117)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[18466, 33484])).
% 5.46/5.00 tff(33717,plain,
% 5.46/5.00 (~trans(s199, s88)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24373, 33598])).
% 5.46/5.00 tff(33718,plain,
% 5.46/5.00 (~trans(s199, s79)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24384, 33607])).
% 5.46/5.00 tff(33719,plain,
% 5.46/5.00 (~trans(s199, s37)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15453, 33649])).
% 5.46/5.00 tff(33720,plain,
% 5.46/5.00 (~trans(s199, s30)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15464, 33656])).
% 5.46/5.00 tff(33721,plain,
% 5.46/5.00 (~trans(s199, s114)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24772, 33572])).
% 5.46/5.00 tff(33722,plain,
% 5.46/5.00 (~trans(s199, s66)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17794, 33620])).
% 5.46/5.00 tff(33723,plain,
% 5.46/5.00 (~trans(s199, s98)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24397, 33588])).
% 5.46/5.00 tff(33724,plain,
% 5.46/5.00 (~trans(s199, s84)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24407, 33602])).
% 5.46/5.00 tff(33725,plain,
% 5.46/5.00 (~trans(s199, s105)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24417, 33581])).
% 5.46/5.00 tff(33726,plain,
% 5.46/5.00 (~trans(s199, s107)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24428, 33579])).
% 5.46/5.00 tff(33727,plain,
% 5.46/5.00 (~trans(s199, s21)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15475, 33665])).
% 5.46/5.00 tff(33728,plain,
% 5.46/5.00 (~trans(s199, s35)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15496, 33651])).
% 5.46/5.00 tff(33729,plain,
% 5.46/5.00 (~trans(s199, s68)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17807, 33618])).
% 5.46/5.00 tff(33730,plain,
% 5.46/5.00 (~trans(s199, s19)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15486, 33667])).
% 5.46/5.00 tff(33731,plain,
% 5.46/5.00 (~trans(s199, s94)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24442, 33592])).
% 5.46/5.00 tff(33732,plain,
% 5.46/5.00 (~trans(s199, s34)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15507, 33652])).
% 5.46/5.00 tff(33733,plain,
% 5.46/5.00 (~trans(s199, s26)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15518, 33660])).
% 5.46/5.00 tff(33734,plain,
% 5.46/5.00 (~trans(s199, s97)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24456, 33589])).
% 5.46/5.00 tff(33735,plain,
% 5.46/5.00 (~trans(s199, s112)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24467, 33574])).
% 5.46/5.00 tff(33736,plain,
% 5.46/5.00 (xuntil6(s195)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[23446, 33341, 13386])).
% 5.46/5.00 tff(33737,plain,
% 5.46/5.00 (until5(s196)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3479, 33736])).
% 5.46/5.00 tff(33738,plain,
% 5.46/5.00 (xuntil6(s196)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3525, 33737])).
% 5.46/5.00 tff(33739,plain,
% 5.46/5.00 (until5(s197)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3530, 33738])).
% 5.46/5.00 tff(33740,plain,
% 5.46/5.00 (xuntil6(s197)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[23482, 33739])).
% 5.46/5.00 tff(33741,plain,
% 5.46/5.00 (until5(s198)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3543, 33740])).
% 5.46/5.00 tff(33742,plain,
% 5.46/5.00 (xuntil6(s198)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3589, 33741])).
% 5.46/5.00 tff(33743,plain,
% 5.46/5.00 (until5(s199)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3594, 33742])).
% 5.46/5.00 tff(33744,plain,
% 5.46/5.00 (node4(s199)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[23489, 33743, 3384])).
% 5.46/5.00 tff(33745,plain,
% 5.46/5.00 (m_main_v_request(s199)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[68, 33744])).
% 5.46/5.00 tff(33746,assumption,(node2(s199, s199)), introduced(assumption)).
% 5.46/5.00 tff(33747,assumption,(~m_main_v_state(s199, c_busy)), introduced(assumption)).
% 5.46/5.00 tff(33748,plain,
% 5.46/5.00 (m_main_v_state(s199, c_ready)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[32884, 188, 33747])).
% 5.46/5.00 tff(33749,plain,
% 5.46/5.00 (((~![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(s199, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s199)))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33750,plain,
% 5.46/5.00 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s199)) | m_main_v_state(s199, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s199, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s199)))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33751,plain,
% 5.46/5.00 (((~![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(s199, c_ready)) | (~node2(s199, s199)) | m_main_v_state(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s199))))),
% 5.46/5.00 inference(monotonicity,[status(thm)],[33750])).
% 5.46/5.00 tff(33752,plain,
% 5.46/5.00 (((~![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(s199, c_ready)) | (~node2(s199, s199)) | m_main_v_state(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s199)))),
% 5.46/5.00 inference(transitivity,[status(thm)],[33751, 33749])).
% 5.46/5.00 tff(33753,plain,
% 5.46/5.00 ((~![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(s199, c_ready)) | (~node2(s199, s199)) | m_main_v_state(s199, c_busy) | (~m_main_v_request(s199)))),
% 5.46/5.00 inference(quant_inst,[status(thm)],[])).
% 5.46/5.00 tff(33754,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s199, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s199))),
% 5.46/5.00 inference(modus_ponens,[status(thm)],[33753, 33752])).
% 5.46/5.00 tff(33755,plain,
% 5.46/5.00 ($false),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33754, 166, 33747, 33748, 32872, 33746])).
% 5.46/5.00 tff(33756,plain,((~node2(s199, s199)) | m_main_v_state(s199, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/5.00 tff(33757,plain,
% 5.46/5.00 ((~node2(s199, s199)) | (~m_main_v_request(s199))),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33756, 32881])).
% 5.46/5.00 tff(33758,plain,
% 5.46/5.00 (~node2(s199, s199)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33757, 33745])).
% 5.46/5.00 tff(33759,assumption,(~node2(s199, s199)), introduced(assumption)).
% 5.46/5.00 tff(33760,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s199)) | node2(s199, s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s199)) | node2(s199, s199))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33761,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s199)) | node2(s199, s199))),
% 5.46/5.00 inference(quant_inst,[status(thm)],[])).
% 5.46/5.00 tff(33762,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s199)) | node2(s199, s199)),
% 5.46/5.00 inference(modus_ponens,[status(thm)],[33761, 33760])).
% 5.46/5.00 tff(33763,plain,
% 5.46/5.00 ($false),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33762, 12475, 7, 33759])).
% 5.46/5.00 tff(33764,plain,((~trans(s199, s199)) | node2(s199, s199)), inference(lemma,lemma(discharge,[]))).
% 5.46/5.00 tff(33765,plain,
% 5.46/5.00 (~trans(s199, s199)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33764, 33758])).
% 5.46/5.00 tff(33766,plain,
% 5.46/5.00 (~trans(s199, s60)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17831, 33626])).
% 5.46/5.00 tff(33767,plain,
% 5.46/5.00 (~trans(s199, s22)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15528, 33664])).
% 5.46/5.00 tff(33768,plain,
% 5.46/5.00 (~trans(s199, s104)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24480, 33582])).
% 5.46/5.00 tff(33769,plain,
% 5.46/5.00 (~trans(s199, s75)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17843, 33611])).
% 5.46/5.00 tff(33770,plain,
% 5.46/5.00 (~trans(s199, s90)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24491, 33596])).
% 5.46/5.00 tff(33771,plain,
% 5.46/5.00 (~trans(s199, s85)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24502, 33601])).
% 5.46/5.00 tff(33772,plain,
% 5.46/5.00 (~trans(s199, s42)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15539, 33644])).
% 5.46/5.00 tff(33773,plain,
% 5.46/5.00 (~trans(s199, s102)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24514, 33584])).
% 5.46/5.00 tff(33774,plain,
% 5.46/5.00 (~trans(s199, s27)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15549, 33659])).
% 5.46/5.00 tff(33775,plain,
% 5.46/5.00 (~trans(s199, s110)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24525, 33576])).
% 5.46/5.00 tff(33776,plain,
% 5.46/5.00 (~trans(s199, s64)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17856, 33622])).
% 5.46/5.00 tff(33777,plain,
% 5.46/5.00 (~trans(s199, s54)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17867, 33632])).
% 5.46/5.00 tff(33778,plain,
% 5.46/5.00 (~trans(s199, s31)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15559, 33655])).
% 5.46/5.00 tff(33779,plain,
% 5.46/5.00 (~trans(s199, s59)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17879, 33627])).
% 5.46/5.00 tff(33780,plain,
% 5.46/5.00 (~trans(s199, s48)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17890, 33638])).
% 5.46/5.00 tff(33781,plain,
% 5.46/5.00 (~trans(s199, s11)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15570, 33675])).
% 5.46/5.00 tff(33782,plain,
% 5.46/5.00 (~trans(s199, s52)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17902, 33634])).
% 5.46/5.00 tff(33783,plain,
% 5.46/5.00 (~trans(s199, s99)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24544, 33587])).
% 5.46/5.00 tff(33784,plain,
% 5.46/5.00 (~trans(s199, s45)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15905, 33641])).
% 5.46/5.00 tff(33785,plain,
% 5.46/5.00 (~trans(s199, s4)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15580, 33705])).
% 5.46/5.00 tff(33786,plain,
% 5.46/5.00 (~trans(s199, s81)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24556, 33605])).
% 5.46/5.00 tff(33787,plain,
% 5.46/5.00 (~trans(s199, s43)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15591, 33643])).
% 5.46/5.00 tff(33788,plain,
% 5.46/5.00 (~trans(s199, s70)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17916, 33616])).
% 5.46/5.00 tff(33789,plain,
% 5.46/5.00 (~trans(s199, s67)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17927, 33619])).
% 5.46/5.00 tff(33790,plain,
% 5.46/5.00 (~trans(s199, s56)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17938, 33630])).
% 5.46/5.00 tff(33791,plain,
% 5.46/5.00 (~trans(s199, s12)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15601, 33674])).
% 5.46/5.00 tff(33792,plain,
% 5.46/5.00 (~trans(s199, s69)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17950, 33617])).
% 5.46/5.00 tff(33793,plain,
% 5.46/5.00 (~trans(s199, s51)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17961, 33635])).
% 5.46/5.00 tff(33794,plain,
% 5.46/5.00 (~trans(s199, s80)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24573, 33606])).
% 5.46/5.00 tff(33795,plain,
% 5.46/5.00 (~trans(s199, s3)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15611, 33706])).
% 5.46/5.00 tff(33796,assumption,(~always3(s194)), introduced(assumption)).
% 5.46/5.00 tff(33797,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s194) | (~trans(s199, s194)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s194) | (~trans(s199, s194)))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33798,plain,
% 5.46/5.00 (((~trans(s199, s194)) | (~always3(s199)) | always3(s194)) <=> ((~always3(s199)) | always3(s194) | (~trans(s199, s194)))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33799,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s194)) | (~always3(s199)) | always3(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s194) | (~trans(s199, s194))))),
% 5.46/5.00 inference(monotonicity,[status(thm)],[33798])).
% 5.46/5.00 tff(33800,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s194)) | (~always3(s199)) | always3(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s194) | (~trans(s199, s194)))),
% 5.46/5.00 inference(transitivity,[status(thm)],[33799, 33797])).
% 5.46/5.00 tff(33801,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s194)) | (~always3(s199)) | always3(s194))),
% 5.46/5.00 inference(quant_inst,[status(thm)],[])).
% 5.46/5.00 tff(33802,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s194) | (~trans(s199, s194))),
% 5.46/5.00 inference(modus_ponens,[status(thm)],[33801, 33800])).
% 5.46/5.00 tff(33803,plain,
% 5.46/5.00 ($false),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33802, 13453, 38, 15335, 33796])).
% 5.46/5.00 tff(33804,plain,((~trans(s199, s194)) | (~always3(s199)) | always3(s194)), inference(lemma,lemma(discharge,[]))).
% 5.46/5.00 tff(33805,plain,
% 5.46/5.00 ((~trans(s199, s194)) | always3(s194)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33804, 15333])).
% 5.46/5.00 tff(33806,plain,
% 5.46/5.00 (~trans(s199, s194)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33805, 3391])).
% 5.46/5.00 tff(33807,plain,
% 5.46/5.00 (~trans(s199, s29)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15622, 33657])).
% 5.46/5.00 tff(33808,plain,
% 5.46/5.00 (~trans(s199, s86)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24587, 33600])).
% 5.46/5.00 tff(33809,plain,
% 5.46/5.00 (~trans(s199, s57)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17985, 33629])).
% 5.46/5.00 tff(33810,assumption,(~trans(s199, s184)), introduced(assumption)).
% 5.46/5.00 tff(33811,plain,
% 5.46/5.00 (~trans(s199, s122)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24961, 33421])).
% 5.46/5.00 tff(33812,plain,
% 5.46/5.00 (~trans(s199, s131)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24981, 33408])).
% 5.46/5.00 tff(33813,plain,
% 5.46/5.00 (~trans(s199, s65)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17997, 33621])).
% 5.46/5.00 tff(33814,plain,
% 5.46/5.00 (~trans(s199, s74)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[18008, 33612])).
% 5.46/5.00 tff(33815,plain,
% 5.46/5.00 (~always3(s0)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[506, 33708])).
% 5.46/5.00 tff(33816,plain,
% 5.46/5.00 (~trans(s199, s0)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15697, 33815])).
% 5.46/5.00 tff(33817,plain,
% 5.46/5.00 (~trans(s199, s125)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24991, 33414])).
% 5.46/5.00 tff(33818,plain,
% 5.46/5.00 (~trans(s199, s129)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[25001, 33410])).
% 5.46/5.00 tff(33819,plain,
% 5.46/5.00 (~trans(s199, s113)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24782, 33573])).
% 5.46/5.00 tff(33820,plain,
% 5.46/5.00 (~trans(s199, s121)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[25413, 33422])).
% 5.46/5.00 tff(33821,plain,
% 5.46/5.00 (~trans(s199, s101)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24602, 33585])).
% 5.46/5.00 tff(33822,plain,
% 5.46/5.00 (~trans(s199, s77)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24612, 33609])).
% 5.46/5.00 tff(33823,plain,
% 5.46/5.00 (~trans(s199, s33)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15654, 33653])).
% 5.46/5.00 tff(33824,plain,
% 5.46/5.00 (~trans(s199, s40)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15665, 33646])).
% 5.46/5.00 tff(33825,assumption,(~trans(s199, s185)), introduced(assumption)).
% 5.46/5.00 tff(33826,plain,
% 5.46/5.00 (~trans(s199, s137)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[25475, 33402])).
% 5.46/5.00 tff(33827,plain,
% 5.46/5.00 (~trans(s199, s127)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[25022, 33412])).
% 5.46/5.00 tff(33828,plain,
% 5.46/5.00 (~trans(s199, s145)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[25580, 33393])).
% 5.46/5.00 tff(33829,plain,
% 5.46/5.00 (~trans(s199, s55)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[18025, 33631])).
% 5.46/5.00 tff(33830,plain,
% 5.46/5.00 (~trans(s199, s10)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15708, 33676])).
% 5.46/5.00 tff(33831,plain,
% 5.46/5.00 (~trans(s199, s41)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15719, 33645])).
% 5.46/5.00 tff(33832,plain,
% 5.46/5.00 (~trans(s199, s91)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24630, 33595])).
% 5.46/5.00 tff(33833,plain,
% 5.46/5.00 (~trans(s199, s106)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24640, 33580])).
% 5.46/5.00 tff(33834,plain,
% 5.46/5.00 (~trans(s199, s115)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24792, 33571])).
% 5.46/5.00 tff(33835,plain,
% 5.46/5.00 (~trans(s199, s47)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[18038, 33639])).
% 5.46/5.00 tff(33836,plain,
% 5.46/5.00 (~trans(s199, s133)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[25063, 33406])).
% 5.46/5.00 tff(33837,plain,
% 5.46/5.00 (~trans(s199, s28)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15741, 33658])).
% 5.46/5.00 tff(33838,plain,
% 5.46/5.00 (~trans(s199, s71)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[18050, 33615])).
% 5.46/5.00 tff(33839,plain,
% 5.46/5.00 (~trans(s199, s89)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24654, 33597])).
% 5.46/5.00 tff(33840,plain,
% 5.46/5.00 (~trans(s199, s53)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[18061, 33633])).
% 5.46/5.00 tff(33841,plain,
% 5.46/5.00 (~trans(s199, s124)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24971, 33415])).
% 5.46/5.00 tff(33842,plain,
% 5.46/5.00 (~trans(s199, s24)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15751, 33662])).
% 5.46/5.00 tff(33843,plain,
% 5.46/5.00 (~trans(s199, s25)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15761, 33661])).
% 5.46/5.00 tff(33844,plain,
% 5.46/5.00 (~trans(s199, s62)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[18074, 33624])).
% 5.46/5.00 tff(33845,plain,
% 5.46/5.00 (~trans(s199, s17)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15771, 33669])).
% 5.46/5.00 tff(33846,plain,
% 5.46/5.00 (~trans(s199, s9)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15781, 33677])).
% 5.46/5.00 tff(33847,plain,
% 5.46/5.00 (~trans(s199, s73)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[18087, 33613])).
% 5.46/5.00 tff(33848,plain,
% 5.46/5.00 (~trans(s199, s92)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24671, 33594])).
% 5.46/5.00 tff(33849,plain,
% 5.46/5.00 (~trans(s199, s49)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[18098, 33637])).
% 5.46/5.00 tff(33850,plain,
% 5.46/5.00 (~trans(s199, s78)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24682, 33608])).
% 5.46/5.00 tff(33851,plain,
% 5.46/5.00 (~trans(s199, s103)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24692, 33583])).
% 5.46/5.00 tff(33852,plain,
% 5.46/5.00 (~trans(s199, s111)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24703, 33575])).
% 5.46/5.00 tff(33853,plain,
% 5.46/5.00 (~trans(s199, s58)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[18109, 33628])).
% 5.46/5.00 tff(33854,plain,
% 5.46/5.00 (~trans(s199, s18)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15802, 33668])).
% 5.46/5.00 tff(33855,plain,
% 5.46/5.00 (~trans(s199, s14)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15813, 33672])).
% 5.46/5.00 tff(33856,plain,
% 5.46/5.00 (~trans(s199, s109)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24717, 33577])).
% 5.46/5.00 tff(33857,plain,
% 5.46/5.00 (~trans(s199, s13)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15792, 33673])).
% 5.46/5.00 tff(33858,plain,
% 5.46/5.00 (~trans(s199, s39)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15730, 33647])).
% 5.46/5.00 tff(33859,plain,
% 5.46/5.00 (~trans(s199, s2)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15643, 33707])).
% 5.46/5.00 tff(33860,plain,
% 5.46/5.00 (~trans(s199, s136)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[25485, 33403])).
% 5.46/5.00 tff(33861,plain,
% 5.46/5.00 (~trans(s199, s76)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17820, 33610])).
% 5.46/5.00 tff(33862,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s193) | (~trans(s199, s193)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s193) | (~trans(s199, s193)))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33863,plain,
% 5.46/5.00 (((~trans(s199, s193)) | (~always3(s199)) | always3(s193)) <=> ((~always3(s199)) | always3(s193) | (~trans(s199, s193)))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33864,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s193)) | (~always3(s199)) | always3(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s193) | (~trans(s199, s193))))),
% 5.46/5.00 inference(monotonicity,[status(thm)],[33863])).
% 5.46/5.00 tff(33865,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s193)) | (~always3(s199)) | always3(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s193) | (~trans(s199, s193)))),
% 5.46/5.00 inference(transitivity,[status(thm)],[33864, 33862])).
% 5.46/5.00 tff(33866,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s193)) | (~always3(s199)) | always3(s193))),
% 5.46/5.00 inference(quant_inst,[status(thm)],[])).
% 5.46/5.00 tff(33867,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s193) | (~trans(s199, s193))),
% 5.46/5.00 inference(modus_ponens,[status(thm)],[33866, 33865])).
% 5.46/5.00 tff(33868,plain,
% 5.46/5.00 ($false),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33867, 13442, 38, 15335, 23402])).
% 5.46/5.00 tff(33869,plain,((~trans(s199, s193)) | (~always3(s199)) | always3(s193)), inference(lemma,lemma(discharge,[]))).
% 5.46/5.00 tff(33870,plain,
% 5.46/5.00 ((~trans(s199, s193)) | always3(s193)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33869, 15333])).
% 5.46/5.00 tff(33871,plain,
% 5.46/5.00 (~trans(s199, s193)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33870, 3392])).
% 5.46/5.00 tff(33872,plain,
% 5.46/5.00 (~trans(s199, s87)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24730, 33599])).
% 5.46/5.00 tff(33873,plain,
% 5.46/5.00 (~trans(s199, s50)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[18125, 33636])).
% 5.46/5.00 tff(33874,plain,
% 5.46/5.00 (~trans(s199, s135)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[25496, 33404])).
% 5.46/5.00 tff(33875,plain,
% 5.46/5.00 (~trans(s199, s83)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24742, 33603])).
% 5.46/5.00 tff(33876,plain,
% 5.46/5.00 (~trans(s199, s100)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[24753, 33586])).
% 5.46/5.00 tff(33877,plain,
% 5.46/5.00 (~trans(s199, s36)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[15397, 33650])).
% 5.46/5.00 tff(33878,plain,
% 5.46/5.00 (~trans(s199, s141)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[25507, 33397])).
% 5.46/5.00 tff(33879,plain,
% 5.46/5.00 (~trans(s199, s61)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[17748, 33625])).
% 5.46/5.00 tff(33880,plain,
% 5.46/5.00 (~trans(s199, s63)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[18137, 33623])).
% 5.46/5.00 tff(33881,assumption,(~always3(s197)), introduced(assumption)).
% 5.46/5.00 tff(33882,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s197) | (~trans(s199, s197)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s197) | (~trans(s199, s197)))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33883,plain,
% 5.46/5.00 (((~trans(s199, s197)) | (~always3(s199)) | always3(s197)) <=> ((~always3(s199)) | always3(s197) | (~trans(s199, s197)))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33884,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s197)) | (~always3(s199)) | always3(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s197) | (~trans(s199, s197))))),
% 5.46/5.00 inference(monotonicity,[status(thm)],[33883])).
% 5.46/5.00 tff(33885,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s197)) | (~always3(s199)) | always3(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s197) | (~trans(s199, s197)))),
% 5.46/5.00 inference(transitivity,[status(thm)],[33884, 33882])).
% 5.46/5.00 tff(33886,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s197)) | (~always3(s199)) | always3(s197))),
% 5.46/5.00 inference(quant_inst,[status(thm)],[])).
% 5.46/5.00 tff(33887,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s197) | (~trans(s199, s197))),
% 5.46/5.00 inference(modus_ponens,[status(thm)],[33886, 33885])).
% 5.46/5.00 tff(33888,plain,
% 5.46/5.00 ($false),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33887, 13474, 38, 15335, 33881])).
% 5.46/5.00 tff(33889,plain,((~trans(s199, s197)) | (~always3(s199)) | always3(s197)), inference(lemma,lemma(discharge,[]))).
% 5.46/5.00 tff(33890,plain,
% 5.46/5.00 ((~trans(s199, s197)) | always3(s197)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33889, 15333])).
% 5.46/5.00 tff(33891,plain,
% 5.46/5.00 (always3(s197)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33890, 13474])).
% 5.46/5.00 tff(33892,assumption,(node2(s199, s197)), introduced(assumption)).
% 5.46/5.00 tff(33893,assumption,(always3(s197)), introduced(assumption)).
% 5.46/5.00 tff(33894,plain,
% 5.46/5.00 (~m_main_v_state(s197, c_busy)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3496, 145, 33893])).
% 5.46/5.00 tff(33895,plain,
% 5.46/5.00 (((~![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(s197, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s197)))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33896,plain,
% 5.46/5.00 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s197)) | m_main_v_state(s197, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s197, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s197)))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33897,plain,
% 5.46/5.00 (((~![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(s199, c_ready)) | (~node2(s199, s197)) | m_main_v_state(s197, 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(s197, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s197))))),
% 5.46/5.00 inference(monotonicity,[status(thm)],[33896])).
% 5.46/5.00 tff(33898,plain,
% 5.46/5.00 (((~![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(s199, c_ready)) | (~node2(s199, s197)) | m_main_v_state(s197, 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(s197, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s197)))),
% 5.46/5.00 inference(transitivity,[status(thm)],[33897, 33895])).
% 5.46/5.00 tff(33899,plain,
% 5.46/5.00 ((~![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(s199, c_ready)) | (~node2(s199, s197)) | m_main_v_state(s197, c_busy) | (~m_main_v_request(s199)))),
% 5.46/5.00 inference(quant_inst,[status(thm)],[])).
% 5.46/5.00 tff(33900,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s197, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s197))),
% 5.46/5.00 inference(modus_ponens,[status(thm)],[33899, 33898])).
% 5.46/5.00 tff(33901,plain,
% 5.46/5.00 ($false),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33900, 166, 33894, 32885, 32872, 33892])).
% 5.46/5.00 tff(33902,plain,((~node2(s199, s197)) | (~m_main_v_request(s199)) | (~always3(s197))), inference(lemma,lemma(discharge,[]))).
% 5.46/5.00 tff(33903,plain,
% 5.46/5.00 (~node2(s199, s197)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33902, 33891, 32872])).
% 5.46/5.00 tff(33904,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s197)) | node2(s199, s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s197)) | node2(s199, s197))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33905,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s197)) | node2(s199, s197))),
% 5.46/5.00 inference(quant_inst,[status(thm)],[])).
% 5.46/5.00 tff(33906,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s197)) | node2(s199, s197)),
% 5.46/5.00 inference(modus_ponens,[status(thm)],[33905, 33904])).
% 5.46/5.00 tff(33907,plain,
% 5.46/5.00 ($false),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33906, 13474, 7, 33903])).
% 5.46/5.00 tff(33908,plain,((~trans(s199, s197)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/5.00 tff(33909,plain,
% 5.46/5.00 (~trans(s199, s197)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33908, 33745])).
% 5.46/5.00 tff(33910,plain,
% 5.46/5.00 (xuntil6(s195)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3474, 3390, 3389])).
% 5.46/5.00 tff(33911,plain,
% 5.46/5.00 (until5(s196)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3479, 33910])).
% 5.46/5.00 tff(33912,plain,
% 5.46/5.00 (xuntil6(s196)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3525, 33911])).
% 5.46/5.00 tff(33913,plain,
% 5.46/5.00 (until5(s197)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3530, 33912])).
% 5.46/5.00 tff(33914,plain,
% 5.46/5.00 (~node4(s197)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[8345, 8326])).
% 5.46/5.00 tff(33915,plain,
% 5.46/5.00 (xuntil6(s197) | (~until5(s197))),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3537, 225, 33914])).
% 5.46/5.00 tff(33916,plain,
% 5.46/5.00 (xuntil6(s197)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33915, 33913])).
% 5.46/5.00 tff(33917,plain,
% 5.46/5.00 (until5(s198)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3543, 33916])).
% 5.46/5.00 tff(33918,plain,
% 5.46/5.00 (xuntil6(s198)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3589, 33917])).
% 5.46/5.00 tff(33919,plain,
% 5.46/5.00 (until5(s199)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3594, 33918])).
% 5.46/5.00 tff(33920,plain,
% 5.46/5.00 (node4(s199)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3601, 225, 33919, 3384])).
% 5.46/5.00 tff(33921,plain,
% 5.46/5.00 (m_main_v_request(s199)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[66, 63, 33920])).
% 5.46/5.00 tff(33922,plain,
% 5.46/5.00 (always3(s199)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3607, 3389, 3384])).
% 5.46/5.00 tff(33923,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s195) | (~trans(s199, s195)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s195) | (~trans(s199, s195)))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33924,plain,
% 5.46/5.00 (((~trans(s199, s195)) | (~always3(s199)) | always3(s195)) <=> ((~always3(s199)) | always3(s195) | (~trans(s199, s195)))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33925,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s195)) | (~always3(s199)) | always3(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s195) | (~trans(s199, s195))))),
% 5.46/5.00 inference(monotonicity,[status(thm)],[33924])).
% 5.46/5.00 tff(33926,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s195)) | (~always3(s199)) | always3(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s195) | (~trans(s199, s195)))),
% 5.46/5.00 inference(transitivity,[status(thm)],[33925, 33923])).
% 5.46/5.00 tff(33927,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s195)) | (~always3(s199)) | always3(s195))),
% 5.46/5.00 inference(quant_inst,[status(thm)],[])).
% 5.46/5.00 tff(33928,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s195) | (~trans(s199, s195))),
% 5.46/5.00 inference(modus_ponens,[status(thm)],[33927, 33926])).
% 5.46/5.00 tff(33929,plain,
% 5.46/5.00 ($false),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33928, 13464, 38, 15335, 3390])).
% 5.46/5.00 tff(33930,plain,((~trans(s199, s195)) | (~always3(s199)) | always3(s195)), inference(lemma,lemma(discharge,[]))).
% 5.46/5.00 tff(33931,plain,
% 5.46/5.00 (~trans(s199, s195)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33930, 3390, 33922])).
% 5.46/5.00 tff(33932,assumption,(~trans(s199, s189)), introduced(assumption)).
% 5.46/5.00 tff(33933,assumption,(~trans(s199, s194)), introduced(assumption)).
% 5.46/5.00 tff(33934,assumption,(~trans(s199, s197)), introduced(assumption)).
% 5.46/5.00 tff(33935,assumption,(~trans(s199, s193)), introduced(assumption)).
% 5.46/5.00 tff(33936,assumption,(trans(s199, s196)), introduced(assumption)).
% 5.46/5.00 tff(33937,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s196)) | node2(s199, s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s196)) | node2(s199, s196))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33938,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s196)) | node2(s199, s196))),
% 5.46/5.00 inference(quant_inst,[status(thm)],[])).
% 5.46/5.00 tff(33939,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s196)) | node2(s199, s196)),
% 5.46/5.00 inference(modus_ponens,[status(thm)],[33938, 33937])).
% 5.46/5.00 tff(33940,plain,
% 5.46/5.00 (node2(s199, s196)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33939, 33936, 7])).
% 5.46/5.00 tff(33941,plain,
% 5.46/5.00 (~m_main_v_state(s199, c_busy)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3560, 145, 15335])).
% 5.46/5.00 tff(33942,plain,
% 5.46/5.00 (m_main_v_state(s199, c_ready)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[32884, 188, 33941])).
% 5.46/5.00 tff(33943,assumption,(~always3(s196)), introduced(assumption)).
% 5.46/5.00 tff(33944,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s196) | (~trans(s199, s196)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s196) | (~trans(s199, s196)))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33945,plain,
% 5.46/5.00 (((~trans(s199, s196)) | (~always3(s199)) | always3(s196)) <=> ((~always3(s199)) | always3(s196) | (~trans(s199, s196)))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33946,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s196)) | (~always3(s199)) | always3(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s196) | (~trans(s199, s196))))),
% 5.46/5.00 inference(monotonicity,[status(thm)],[33945])).
% 5.46/5.00 tff(33947,plain,
% 5.46/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s196)) | (~always3(s199)) | always3(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s196) | (~trans(s199, s196)))),
% 5.46/5.00 inference(transitivity,[status(thm)],[33946, 33944])).
% 5.46/5.00 tff(33948,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s196)) | (~always3(s199)) | always3(s196))),
% 5.46/5.00 inference(quant_inst,[status(thm)],[])).
% 5.46/5.00 tff(33949,plain,
% 5.46/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s196) | (~trans(s199, s196))),
% 5.46/5.00 inference(modus_ponens,[status(thm)],[33948, 33947])).
% 5.46/5.00 tff(33950,plain,
% 5.46/5.00 ($false),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33949, 33936, 38, 15335, 33943])).
% 5.46/5.00 tff(33951,plain,((~trans(s199, s196)) | (~always3(s199)) | always3(s196)), inference(lemma,lemma(discharge,[]))).
% 5.46/5.00 tff(33952,plain,
% 5.46/5.00 (always3(s196)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33951, 33936, 15335])).
% 5.46/5.00 tff(33953,plain,
% 5.46/5.00 (~m_main_v_state(s196, c_busy)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[3512, 145, 33952])).
% 5.46/5.00 tff(33954,plain,
% 5.46/5.00 (((~![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(s196, c_busy) | (~node2(s199, s196)) | (~m_main_v_state(s199, c_ready)) | (~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(s196, c_busy) | (~node2(s199, s196)) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33955,plain,
% 5.46/5.00 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s196)) | m_main_v_state(s196, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s196, c_busy) | (~node2(s199, s196)) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)))),
% 5.46/5.00 inference(rewrite,[status(thm)],[])).
% 5.46/5.00 tff(33956,plain,
% 5.46/5.00 (((~![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(s199, c_ready)) | (~node2(s199, s196)) | m_main_v_state(s196, 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(s196, c_busy) | (~node2(s199, s196)) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199))))),
% 5.46/5.00 inference(monotonicity,[status(thm)],[33955])).
% 5.46/5.00 tff(33957,plain,
% 5.46/5.00 (((~![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(s199, c_ready)) | (~node2(s199, s196)) | m_main_v_state(s196, 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(s196, c_busy) | (~node2(s199, s196)) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)))),
% 5.46/5.00 inference(transitivity,[status(thm)],[33956, 33954])).
% 5.46/5.00 tff(33958,plain,
% 5.46/5.00 ((~![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(s199, c_ready)) | (~node2(s199, s196)) | m_main_v_state(s196, c_busy) | (~m_main_v_request(s199)))),
% 5.46/5.00 inference(quant_inst,[status(thm)],[])).
% 5.46/5.00 tff(33959,plain,
% 5.46/5.00 ((~![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(s196, c_busy) | (~node2(s199, s196)) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199))),
% 5.46/5.00 inference(modus_ponens,[status(thm)],[33958, 33957])).
% 5.46/5.00 tff(33960,plain,
% 5.46/5.00 (~m_main_v_request(s199)),
% 5.46/5.00 inference(unit_resolution,[status(thm)],[33959, 166, 33953, 33942, 33940])).
% 5.46/5.01 tff(33961,plain,
% 5.46/5.01 (~node4(s199)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[66, 63, 33960])).
% 5.46/5.01 tff(33962,plain,
% 5.46/5.01 (node4(s199) | (~until5(s199))),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3601, 225, 3384])).
% 5.46/5.01 tff(33963,plain,
% 5.46/5.01 (~until5(s199)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[33962, 33961])).
% 5.46/5.01 tff(33964,plain,
% 5.46/5.01 (~xuntil6(s198)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3594, 33963])).
% 5.46/5.01 tff(33965,plain,
% 5.46/5.01 (always3(s197)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3290, 33952])).
% 5.46/5.01 tff(33966,plain,
% 5.46/5.01 (~m_main_v_state(s197, c_busy)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3496, 145, 33965])).
% 5.46/5.01 tff(33967,plain,
% 5.46/5.01 (m_main_v_state(s197, c_ready)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[8343, 188, 33966])).
% 5.46/5.01 tff(33968,plain,
% 5.46/5.01 (~m_main_v_request(s197)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[8338, 33967, 8326])).
% 5.46/5.01 tff(33969,plain,
% 5.46/5.01 (~node4(s197)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[8329, 63, 33968])).
% 5.46/5.01 tff(33970,assumption,(until5(s197)), introduced(assumption)).
% 5.46/5.01 tff(33971,plain,
% 5.46/5.01 (xuntil6(s197) | node4(s197)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3537, 225, 33970])).
% 5.46/5.01 tff(33972,plain,
% 5.46/5.01 (xuntil6(s197)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[33971, 33969])).
% 5.46/5.01 tff(33973,plain,
% 5.46/5.01 (until5(s198)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3543, 33972])).
% 5.46/5.01 tff(33974,plain,
% 5.46/5.01 ($false),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3589, 33973, 33964])).
% 5.46/5.01 tff(33975,plain,((~trans(s199, s196)) | (~until5(s197)) | xuntil6(s199) | m_main_v_state(s198, c_busy) | (~always3(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/5.01 tff(33976,plain,
% 5.46/5.01 (~trans(s199, s196)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[33975, 33913, 3384, 8326, 33922])).
% 5.46/5.01 tff(33977,plain,
% 5.46/5.01 (trans(s199, s198)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15311, 33976, 13664, 13663, 13484, 13660, 13662, 13659, 13658, 13657, 13486, 13655, 13654, 13485, 13544, 13653, 13652, 13651, 13650, 33935, 13648, 13647, 13646, 13645, 13644, 13643, 13642, 13641, 13640, 33934, 13639, 13638, 13637, 13636, 13635, 13634, 13633, 13632, 13631, 13630, 13629, 13628, 13627, 13626, 13625, 13624, 13623, 13622, 13621, 13620, 13619, 13618, 13617, 13616, 13615, 13614, 13613, 13612, 13611, 13610, 33933, 33825, 13607, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13596, 13595, 13594, 13593, 13592, 33810, 13590, 13589, 13585, 13588, 13584, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13568, 13567, 13566, 13565, 13564, 13563, 13562, 13561, 13560, 13559, 13558, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13665, 13543, 13542, 13541, 13540, 13539, 13538, 13537, 13536, 13534, 13535, 13532, 13531, 13530, 13529, 13528, 13527, 13526, 13525, 13524, 13523, 13522, 13521, 13520, 13519, 13518, 13517, 13516, 13515, 13514, 13513, 13512, 13511, 13510, 13509, 13508, 13507, 13506, 13505, 13504, 13666, 13661, 13656, 13649, 13609, 13608, 13591, 13587, 13586, 13503, 13502, 13501, 13500, 13499, 13487, 13498, 13497, 13496, 13495, 13494, 13493, 13492, 13491, 13490, 13489, 13488, 13440, 13439, 13438, 13437, 13436, 13435, 13434, 13433, 33932, 33931, 13378])).
% 5.46/5.01 tff(33978,plain,
% 5.46/5.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s198)) | node2(s199, s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s198)) | node2(s199, s198))),
% 5.46/5.01 inference(rewrite,[status(thm)],[])).
% 5.46/5.01 tff(33979,plain,
% 5.46/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s198)) | node2(s199, s198))),
% 5.46/5.01 inference(quant_inst,[status(thm)],[])).
% 5.46/5.01 tff(33980,plain,
% 5.46/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s198)) | node2(s199, s198)),
% 5.46/5.01 inference(modus_ponens,[status(thm)],[33979, 33978])).
% 5.46/5.01 tff(33981,plain,
% 5.46/5.01 (node2(s199, s198)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[33980, 33977, 7])).
% 5.46/5.01 tff(33982,plain,
% 5.46/5.01 (~m_main_v_state(s199, c_busy)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3560, 145, 33922])).
% 5.46/5.01 tff(33983,plain,
% 5.46/5.01 (m_main_v_state(s199, c_ready)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[32884, 188, 33982])).
% 5.46/5.01 tff(33984,plain,
% 5.46/5.01 (((~![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(s198, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s198)))),
% 5.46/5.01 inference(rewrite,[status(thm)],[])).
% 5.46/5.01 tff(33985,plain,
% 5.46/5.01 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s198)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s198, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s198)))),
% 5.46/5.01 inference(rewrite,[status(thm)],[])).
% 5.46/5.01 tff(33986,plain,
% 5.46/5.01 (((~![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(s199, c_ready)) | (~node2(s199, s198)) | m_main_v_state(s198, 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(s198, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s198))))),
% 5.46/5.01 inference(monotonicity,[status(thm)],[33985])).
% 5.46/5.01 tff(33987,plain,
% 5.46/5.01 (((~![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(s199, c_ready)) | (~node2(s199, s198)) | m_main_v_state(s198, 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(s198, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s198)))),
% 5.46/5.01 inference(transitivity,[status(thm)],[33986, 33984])).
% 5.46/5.01 tff(33988,plain,
% 5.46/5.01 ((~![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(s199, c_ready)) | (~node2(s199, s198)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s199)))),
% 5.46/5.01 inference(quant_inst,[status(thm)],[])).
% 5.46/5.01 tff(33989,plain,
% 5.46/5.01 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s198, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s198))),
% 5.46/5.01 inference(modus_ponens,[status(thm)],[33988, 33987])).
% 5.46/5.01 tff(33990,plain,
% 5.46/5.01 ($false),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[33989, 166, 8326, 33983, 33981, 33921])).
% 5.46/5.01 tff(33991,plain,(always3(s195) | m_main_v_state(s198, c_busy) | xuntil6(s199) | trans(s199, s61) | trans(s199, s171) | trans(s199, s192) | trans(s199, s141) | trans(s199, s36) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s182) | trans(s199, s50) | trans(s199, s87) | trans(s199, s190) | trans(s199, s76) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s193) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s152) | trans(s199, s78) | trans(s199, s168) | trans(s199, s197) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s166) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s167) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s176) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s169) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s145) | trans(s199, s163) | trans(s199, s173) | trans(s199, s127) | trans(s199, s137) | trans(s199, s194) | trans(s199, s185) | trans(s199, s172) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s184) | trans(s199, s57) | trans(s199, s86) | trans(s199, s199) | trans(s199, s29) | trans(s199, s186) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s149) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s144) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s188) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s63) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s164) | trans(s199, s161) | trans(s199, s153) | trans(s199, s94) | trans(s199, s19) | trans(s199, s68) | trans(s199, s150) | trans(s199, s35) | trans(s199, s157) | trans(s199, s191) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s180) | trans(s199, s179) | trans(s199, s177) | trans(s199, s156) | trans(s199, s181) | trans(s199, s187) | trans(s199, s84) | trans(s199, s142) | trans(s199, s174) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s165) | trans(s199, s37) | trans(s199, s143) | trans(s199, s79) | trans(s199, s155) | trans(s199, s88) | trans(s199, s175) | trans(s199, s154) | trans(s199, s117) | trans(s199, s126) | trans(s199, s20) | trans(s199, s44) | trans(s199, s23) | trans(s199, s72) | trans(s199, s170) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s183) | trans(s199, s82) | trans(s199, s162) | trans(s199, s120) | trans(s199, s138) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s93) | trans(s199, s178) | trans(s199, s16) | trans(s199, s15) | trans(s199, s147) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s189) | trans(s199, s5) | (~until5(s193))), inference(lemma,lemma(discharge,[]))).
% 5.46/5.01 tff(33992,plain,
% 5.46/5.01 (m_main_v_state(s198, c_busy)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[33991, 33909, 3384, 13663, 33880, 33879, 33878, 33877, 33876, 33875, 33874, 13486, 33873, 33872, 33871, 33861, 33860, 33859, 33858, 33857, 33378, 33856, 33855, 33854, 33853, 33852, 33851, 13642, 33850, 13640, 33849, 33848, 33847, 33846, 33845, 13634, 33844, 33843, 33842, 33841, 13629, 33840, 33839, 33838, 13625, 33837, 33836, 33835, 33834, 33833, 33832, 13618, 33831, 33830, 33829, 33828, 13613, 13612, 33827, 33826, 3390, 33825, 13607, 33824, 33823, 33822, 33821, 33820, 33819, 33818, 33817, 33816, 33814, 13596, 13595, 33813, 33812, 33811, 33810, 33809, 33808, 33807, 33806, 33389, 33501, 33795, 33794, 33793, 33490, 33792, 33489, 33791, 33790, 33789, 33788, 33787, 33786, 33785, 33784, 33783, 13568, 33782, 33488, 33781, 33780, 33487, 33779, 33486, 13560, 33778, 33357, 33482, 33777, 33776, 33775, 33774, 33773, 33772, 33771, 33770, 33769, 33768, 33767, 33766, 33765, 33735, 33734, 33733, 33732, 33481, 13538, 13537, 13536, 33731, 33730, 33729, 13531, 33728, 13529, 33476, 33727, 33726, 33725, 13524, 13523, 13522, 13521, 13520, 33461, 33724, 33451, 13516, 33723, 33722, 33721, 33720, 13511, 33445, 13509, 33719, 33443, 33718, 13505, 33717, 13666, 13661, 33716, 33715, 33714, 33713, 33712, 33711, 13586, 33710, 33709, 33704, 33703, 33442, 13487, 33702, 13497, 33424, 33420, 33419, 33701, 33418, 33417, 33700, 33699, 33400, 33698, 13439, 33697, 33696, 33359, 33695, 33694, 33693, 33692, 33682, 33570])).
% 5.46/5.01 tff(33993,assumption,(~always3(s198)), introduced(assumption)).
% 5.46/5.01 tff(33994,plain,
% 5.46/5.01 (~always3(s197)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3278, 33993])).
% 5.46/5.01 tff(33995,plain,
% 5.46/5.01 (~always3(s196)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3290, 33994])).
% 5.46/5.01 tff(33996,plain,
% 5.46/5.01 (~always3(s195)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3302, 33995])).
% 5.46/5.01 tff(33997,plain,
% 5.46/5.01 (~node4(s195)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3472, 113, 33996])).
% 5.46/5.01 tff(33998,plain,
% 5.46/5.01 (~always3(s194)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3314, 33996])).
% 5.46/5.01 tff(33999,plain,
% 5.46/5.01 (~always3(s193)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3326, 33998])).
% 5.46/5.01 tff(34000,plain,
% 5.46/5.01 (~node4(s193)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3395, 113, 33999])).
% 5.46/5.01 tff(34001,plain,
% 5.46/5.01 (~always3(s191)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3350, 33368])).
% 5.46/5.01 tff(34002,plain,
% 5.46/5.01 (~always3(s190)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3362, 34001])).
% 5.46/5.01 tff(34003,plain,
% 5.46/5.01 (~always3(s189)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3374, 34002])).
% 5.46/5.01 tff(34004,plain,
% 5.46/5.01 (~always3(s188)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3760, 34003])).
% 5.46/5.01 tff(34005,plain,
% 5.46/5.01 (~always3(s187)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3809, 34004])).
% 5.46/5.01 tff(34006,plain,
% 5.46/5.01 (~always3(s186)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3821, 34005])).
% 5.46/5.01 tff(34007,plain,
% 5.46/5.01 (~always3(s185)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3833, 34006])).
% 5.46/5.01 tff(34008,plain,
% 5.46/5.01 (~always3(s184)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3845, 34007])).
% 5.46/5.01 tff(34009,plain,
% 5.46/5.01 (~always3(s183)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3857, 34008])).
% 5.46/5.01 tff(34010,plain,
% 5.46/5.01 (~node4(s183)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3861, 113, 34009])).
% 5.46/5.01 tff(34011,plain,
% 5.46/5.01 (~always3(s182)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3873, 34009])).
% 5.46/5.01 tff(34012,plain,
% 5.46/5.01 (~always3(s181)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3885, 34011])).
% 5.46/5.01 tff(34013,plain,
% 5.46/5.01 (~node4(s181)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3889, 113, 34012])).
% 5.46/5.01 tff(34014,plain,
% 5.46/5.01 (~always3(s180)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3901, 34012])).
% 5.46/5.01 tff(34015,plain,
% 5.46/5.01 (~always3(s179)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3913, 34014])).
% 5.46/5.01 tff(34016,plain,
% 5.46/5.01 (~always3(s178)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3925, 34015])).
% 5.46/5.01 tff(34017,plain,
% 5.46/5.01 (~always3(s177)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3937, 34016])).
% 5.46/5.01 tff(34018,plain,
% 5.46/5.01 (~always3(s176)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3949, 34017])).
% 5.46/5.01 tff(34019,plain,
% 5.46/5.01 (~always3(s175)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3961, 34018])).
% 5.46/5.01 tff(34020,plain,
% 5.46/5.01 (~always3(s174)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3973, 34019])).
% 5.46/5.01 tff(34021,plain,
% 5.46/5.01 (xuntil6(s174)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[7998, 34020])).
% 5.46/5.01 tff(34022,plain,
% 5.46/5.01 (until5(s175)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[8003, 34021])).
% 5.46/5.01 tff(34023,plain,
% 5.46/5.01 (xuntil6(s180)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[8108, 34022, 34014])).
% 5.46/5.01 tff(34024,plain,
% 5.46/5.01 (until5(s181)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[8113, 34023])).
% 5.46/5.01 tff(34025,plain,
% 5.46/5.01 (xuntil6(s181)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[8120, 225, 34024, 34013])).
% 5.46/5.01 tff(34026,plain,
% 5.46/5.01 (until5(s182)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[8126, 34025])).
% 5.46/5.01 tff(34027,plain,
% 5.46/5.01 (xuntil6(s182)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[8172, 34026])).
% 5.46/5.01 tff(34028,plain,
% 5.46/5.01 (until5(s183)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[8177, 34027])).
% 5.46/5.01 tff(34029,plain,
% 5.46/5.01 (xuntil6(s183)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[8184, 225, 34028, 34010])).
% 5.46/5.01 tff(34030,plain,
% 5.46/5.01 (until5(s184)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[8189, 34029])).
% 5.46/5.01 tff(34031,plain,
% 5.46/5.01 (xuntil6(s187)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[8258, 34030, 34005])).
% 5.46/5.01 tff(34032,plain,
% 5.46/5.01 (until5(s188)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[8263, 34031])).
% 5.46/5.01 tff(34033,plain,
% 5.46/5.01 (xuntil6(s188)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3796, 34032])).
% 5.46/5.01 tff(34034,plain,
% 5.46/5.01 (until5(s189)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3742, 34033])).
% 5.46/5.01 tff(34035,plain,
% 5.46/5.01 (~node4(s189)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3378, 113, 34003])).
% 5.46/5.01 tff(34036,plain,
% 5.46/5.01 (xuntil6(s189) | (~until5(s189))),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3734, 225, 34035])).
% 5.46/5.01 tff(34037,plain,
% 5.46/5.01 (xuntil6(s189)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[34036, 34034])).
% 5.46/5.01 tff(34038,plain,
% 5.46/5.01 (until5(s190)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3727, 34037])).
% 5.46/5.01 tff(34039,plain,
% 5.46/5.01 (xuntil6(s190)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3722, 34038])).
% 5.46/5.01 tff(34040,plain,
% 5.46/5.01 (until5(s191)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3676, 34039])).
% 5.46/5.01 tff(34041,plain,
% 5.46/5.01 (~node4(s191)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3382, 113, 34001])).
% 5.46/5.01 tff(34042,plain,
% 5.46/5.01 (xuntil6(s191) | (~until5(s191))),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3670, 225, 34041])).
% 5.46/5.01 tff(34043,plain,
% 5.46/5.01 (xuntil6(s191)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[34042, 34040])).
% 5.46/5.01 tff(34044,plain,
% 5.46/5.01 (until5(s192)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3663, 34043])).
% 5.46/5.01 tff(34045,plain,
% 5.46/5.01 (xuntil6(s192)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3658, 34044])).
% 5.46/5.01 tff(34046,plain,
% 5.46/5.01 (until5(s193)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3612, 34045])).
% 5.46/5.01 tff(34047,plain,
% 5.46/5.01 (xuntil6(s193) | node4(s193)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3402, 225, 34046])).
% 5.46/5.01 tff(34048,plain,
% 5.46/5.01 (xuntil6(s193)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[34047, 34000])).
% 5.46/5.01 tff(34049,plain,
% 5.46/5.01 (until5(s194)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3408, 34048])).
% 5.46/5.01 tff(34050,plain,
% 5.46/5.01 (xuntil6(s194)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3454, 34049])).
% 5.46/5.01 tff(34051,plain,
% 5.46/5.01 (until5(s195)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3459, 34050])).
% 5.46/5.01 tff(34052,plain,
% 5.46/5.01 (xuntil6(s195)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3467, 225, 34051, 33997])).
% 5.46/5.01 tff(34053,plain,
% 5.46/5.01 (until5(s196)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3479, 34052])).
% 5.46/5.01 tff(34054,plain,
% 5.46/5.01 (xuntil6(s196)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3525, 34053])).
% 5.46/5.01 tff(34055,plain,
% 5.46/5.01 (until5(s197)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3530, 34054])).
% 5.46/5.01 tff(34056,plain,
% 5.46/5.01 (~node4(s197)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3387, 113, 33994])).
% 5.46/5.01 tff(34057,plain,
% 5.46/5.01 (xuntil6(s197) | (~until5(s197))),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3537, 225, 34056])).
% 5.46/5.01 tff(34058,plain,
% 5.46/5.01 (xuntil6(s197)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[34057, 34055])).
% 5.46/5.01 tff(34059,plain,
% 5.46/5.01 (until5(s198)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3543, 34058])).
% 5.46/5.01 tff(34060,plain,
% 5.46/5.01 (xuntil6(s198)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3589, 34059])).
% 5.46/5.01 tff(34061,plain,
% 5.46/5.01 (until5(s199)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3594, 34060])).
% 5.46/5.01 tff(34062,plain,
% 5.46/5.01 (node4(s199)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3601, 225, 34061, 3384])).
% 5.46/5.01 tff(34063,plain,
% 5.46/5.01 (always3(s199)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3605, 113, 34062])).
% 5.46/5.01 tff(34064,plain,
% 5.46/5.01 (~trans(s199, s5)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15343, 34063, 33681])).
% 5.46/5.01 tff(34065,plain,
% 5.46/5.01 (~trans(s199, s195)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[33930, 34063, 33996])).
% 5.46/5.01 tff(34066,plain,
% 5.46/5.01 (~trans(s199, s189)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[33690, 34063, 34003])).
% 5.46/5.01 tff(34067,plain,
% 5.46/5.01 (~trans(s199, s96)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24194, 34063, 33590])).
% 5.46/5.01 tff(34068,plain,
% 5.46/5.01 (~trans(s199, s32)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15354, 34063, 33654])).
% 5.46/5.01 tff(34069,plain,
% 5.46/5.01 (~trans(s199, s8)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15364, 34063, 33678])).
% 5.46/5.01 tff(34070,plain,
% 5.46/5.01 (~trans(s199, s147)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25752, 34063, 33358])).
% 5.46/5.01 tff(34071,plain,
% 5.46/5.01 (~trans(s199, s15)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15374, 34063, 33671])).
% 5.46/5.01 tff(34072,plain,
% 5.46/5.01 (~trans(s199, s16)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15385, 34063, 33670])).
% 5.46/5.01 tff(34073,plain,
% 5.46/5.01 (~trans(s199, s178)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[26016, 34063, 34016])).
% 5.46/5.01 tff(34074,plain,
% 5.46/5.01 (~trans(s199, s93)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24323, 34063, 33593])).
% 5.46/5.01 tff(34075,plain,
% 5.46/5.01 (~trans(s199, s139)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25423, 34063, 33399])).
% 5.46/5.01 tff(34076,plain,
% 5.46/5.01 (~trans(s199, s108)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24333, 34063, 33578])).
% 5.46/5.01 tff(34077,plain,
% 5.46/5.01 (~trans(s199, s46)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[17772, 34063, 33640])).
% 5.46/5.01 tff(34078,plain,
% 5.46/5.01 (~trans(s199, s123)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24907, 34063, 33416])).
% 5.46/5.01 tff(34079,plain,
% 5.46/5.01 (~trans(s199, s148)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25534, 34063, 25526])).
% 5.46/5.01 tff(34080,plain,
% 5.46/5.01 (~trans(s199, s38)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15406, 34063, 33648])).
% 5.46/5.01 tff(34081,plain,
% 5.46/5.01 (~trans(s199, s146)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25547, 34063, 33392])).
% 5.46/5.01 tff(34082,plain,
% 5.46/5.01 (~trans(s199, s138)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25434, 34063, 33401])).
% 5.46/5.01 tff(34083,plain,
% 5.46/5.01 (~trans(s199, s120)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24918, 34063, 33423])).
% 5.46/5.01 tff(34084,plain,
% 5.46/5.01 (~always3(s173)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3986, 34020])).
% 5.46/5.01 tff(34085,plain,
% 5.46/5.01 (~always3(s172)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[3998, 34084])).
% 5.46/5.01 tff(34086,plain,
% 5.46/5.01 (~always3(s171)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4010, 34085])).
% 5.46/5.01 tff(34087,plain,
% 5.46/5.01 (~always3(s170)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4022, 34086])).
% 5.46/5.01 tff(34088,plain,
% 5.46/5.01 (~always3(s169)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4034, 34087])).
% 5.46/5.01 tff(34089,plain,
% 5.46/5.01 (~always3(s168)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4046, 34088])).
% 5.46/5.01 tff(34090,plain,
% 5.46/5.01 (~always3(s167)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4058, 34089])).
% 5.46/5.01 tff(34091,plain,
% 5.46/5.01 (~always3(s166)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4070, 34090])).
% 5.46/5.01 tff(34092,plain,
% 5.46/5.01 (~always3(s165)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4082, 34091])).
% 5.46/5.01 tff(34093,plain,
% 5.46/5.01 (~always3(s164)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4094, 34092])).
% 5.46/5.01 tff(34094,plain,
% 5.46/5.01 (~always3(s163)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4106, 34093])).
% 5.46/5.01 tff(34095,plain,
% 5.46/5.01 (~always3(s162)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4118, 34094])).
% 5.46/5.01 tff(34096,plain,
% 5.46/5.01 (~trans(s199, s162)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25558, 34063, 34095])).
% 5.46/5.01 tff(34097,plain,
% 5.46/5.01 (~trans(s199, s82)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24345, 34063, 33604])).
% 5.46/5.01 tff(34098,plain,
% 5.46/5.01 (~trans(s199, s183)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25825, 34063, 34009])).
% 5.46/5.01 tff(34099,plain,
% 5.46/5.01 (~trans(s199, s130)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24929, 34063, 33409])).
% 5.46/5.01 tff(34100,plain,
% 5.46/5.01 (~trans(s199, s95)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24355, 34063, 33591])).
% 5.46/5.01 tff(34101,plain,
% 5.46/5.01 (~trans(s199, s7)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15417, 34063, 33679])).
% 5.46/5.01 tff(34102,plain,
% 5.46/5.01 (~trans(s199, s1)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15432, 34063, 33708])).
% 5.46/5.01 tff(34103,plain,
% 5.46/5.01 (~trans(s199, s6)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15442, 34063, 33680])).
% 5.46/5.01 tff(34104,plain,
% 5.46/5.01 (~trans(s199, s170)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25929, 34063, 34087])).
% 5.46/5.01 tff(34105,plain,
% 5.46/5.01 (~trans(s199, s72)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[17972, 34063, 33614])).
% 5.46/5.01 tff(34106,plain,
% 5.46/5.01 (~trans(s199, s23)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15632, 34063, 33663])).
% 5.46/5.01 tff(34107,plain,
% 5.46/5.01 (~trans(s199, s44)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15674, 34063, 33642])).
% 5.46/5.01 tff(34108,plain,
% 5.46/5.01 (~trans(s199, s20)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15684, 34063, 33666])).
% 5.46/5.01 tff(34109,plain,
% 5.46/5.01 (~trans(s199, s126)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25011, 34063, 33413])).
% 5.46/5.01 tff(34110,plain,
% 5.46/5.01 (~trans(s199, s117)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[18465, 34063, 33484])).
% 5.46/5.01 tff(34111,plain,
% 5.46/5.01 (~always3(s161)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4130, 34095])).
% 5.46/5.01 tff(34112,plain,
% 5.46/5.01 (~always3(s160)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4142, 34111])).
% 5.46/5.01 tff(34113,plain,
% 5.46/5.01 (~always3(s159)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4154, 34112])).
% 5.46/5.01 tff(34114,plain,
% 5.46/5.01 (~always3(s158)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4166, 34113])).
% 5.46/5.01 tff(34115,plain,
% 5.46/5.01 (~always3(s157)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4178, 34114])).
% 5.46/5.01 tff(34116,plain,
% 5.46/5.01 (~always3(s156)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4190, 34115])).
% 5.46/5.01 tff(34117,plain,
% 5.46/5.01 (~always3(s155)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4202, 34116])).
% 5.46/5.01 tff(34118,plain,
% 5.46/5.01 (~always3(s154)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4214, 34117])).
% 5.46/5.01 tff(34119,plain,
% 5.46/5.01 (~trans(s199, s154)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25702, 34063, 34118])).
% 5.46/5.01 tff(34120,plain,
% 5.46/5.01 (~trans(s199, s175)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[26005, 34063, 34019])).
% 5.46/5.01 tff(34121,plain,
% 5.46/5.01 (~trans(s199, s88)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24372, 34063, 33598])).
% 5.46/5.01 tff(34122,plain,
% 5.46/5.01 (~trans(s199, s155)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25568, 34063, 34117])).
% 5.46/5.01 tff(34123,plain,
% 5.46/5.01 (~trans(s199, s79)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24383, 34063, 33607])).
% 5.46/5.01 tff(34124,plain,
% 5.46/5.01 (~trans(s199, s143)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[26039, 34063, 33395])).
% 5.46/5.01 tff(34125,plain,
% 5.46/5.01 (~trans(s199, s37)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15452, 34063, 33649])).
% 5.46/5.01 tff(34126,plain,
% 5.46/5.01 (~trans(s199, s165)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25843, 34063, 34092])).
% 5.46/5.01 tff(34127,plain,
% 5.46/5.01 (~trans(s199, s128)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24940, 34063, 33411])).
% 5.46/5.01 tff(34128,plain,
% 5.46/5.01 (~trans(s199, s159)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25589, 34063, 34113])).
% 5.46/5.01 tff(34129,plain,
% 5.46/5.01 (~trans(s199, s30)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15463, 34063, 33656])).
% 5.46/5.01 tff(34130,plain,
% 5.46/5.01 (~trans(s199, s114)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24771, 34063, 33572])).
% 5.46/5.01 tff(34131,plain,
% 5.46/5.01 (~trans(s199, s66)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[17793, 34063, 33620])).
% 5.46/5.01 tff(34132,plain,
% 5.46/5.01 (~trans(s199, s98)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24396, 34063, 33588])).
% 5.46/5.01 tff(34133,plain,
% 5.46/5.01 (~trans(s199, s174)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25854, 34063, 34020])).
% 5.46/5.01 tff(34134,plain,
% 5.46/5.01 (~trans(s199, s142)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25444, 34063, 33396])).
% 5.46/5.01 tff(34135,plain,
% 5.46/5.01 (~trans(s199, s84)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24406, 34063, 33602])).
% 5.46/5.01 tff(34136,plain,
% 5.46/5.01 (~trans(s199, s187)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[33459, 34063, 34005])).
% 5.46/5.01 tff(34137,plain,
% 5.46/5.01 (~trans(s199, s181)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25865, 34063, 34012])).
% 5.46/5.01 tff(34138,plain,
% 5.46/5.01 (~trans(s199, s156)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25599, 34063, 34116])).
% 5.46/5.01 tff(34139,plain,
% 5.46/5.01 (~trans(s199, s177)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25877, 34063, 34017])).
% 5.46/5.01 tff(34140,plain,
% 5.46/5.01 (~trans(s199, s179)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25887, 34063, 34015])).
% 5.46/5.01 tff(34141,plain,
% 5.46/5.01 (~trans(s199, s180)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25897, 34063, 34014])).
% 5.46/5.01 tff(34142,plain,
% 5.46/5.01 (~trans(s199, s105)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24416, 34063, 33581])).
% 5.46/5.01 tff(34143,plain,
% 5.46/5.01 (~trans(s199, s107)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24427, 34063, 33579])).
% 5.46/5.01 tff(34144,plain,
% 5.46/5.01 (~trans(s199, s21)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15474, 34063, 33665])).
% 5.46/5.01 tff(34145,plain,
% 5.46/5.01 (~trans(s199, s191)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[33474, 34063, 34001])).
% 5.46/5.01 tff(34146,plain,
% 5.46/5.01 (~trans(s199, s157)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25609, 34063, 34115])).
% 5.46/5.01 tff(34147,plain,
% 5.46/5.01 (~trans(s199, s35)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15495, 34063, 33651])).
% 5.46/5.01 tff(34148,plain,
% 5.46/5.01 (~always3(s153)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4226, 34118])).
% 5.46/5.01 tff(34149,plain,
% 5.46/5.01 (~always3(s152)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4238, 34148])).
% 5.46/5.01 tff(34150,plain,
% 5.46/5.01 (~always3(s151)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4250, 34149])).
% 5.46/5.01 tff(34151,plain,
% 5.46/5.01 (~always3(s150)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[4262, 34150])).
% 5.46/5.01 tff(34152,plain,
% 5.46/5.01 (~trans(s199, s150)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25619, 34063, 34151])).
% 5.46/5.01 tff(34153,plain,
% 5.46/5.01 (~trans(s199, s68)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[17806, 34063, 33618])).
% 5.46/5.01 tff(34154,plain,
% 5.46/5.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s198) | (~trans(s199, s198)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s198) | (~trans(s199, s198)))),
% 5.46/5.01 inference(rewrite,[status(thm)],[])).
% 5.46/5.01 tff(34155,plain,
% 5.46/5.01 (((~trans(s199, s198)) | (~always3(s199)) | always3(s198)) <=> ((~always3(s199)) | always3(s198) | (~trans(s199, s198)))),
% 5.46/5.01 inference(rewrite,[status(thm)],[])).
% 5.46/5.01 tff(34156,plain,
% 5.46/5.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s198)) | (~always3(s199)) | always3(s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s199)) | always3(s198) | (~trans(s199, s198))))),
% 5.46/5.01 inference(monotonicity,[status(thm)],[34155])).
% 5.46/5.01 tff(34157,plain,
% 5.46/5.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s198)) | (~always3(s199)) | always3(s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s198) | (~trans(s199, s198)))),
% 5.46/5.01 inference(transitivity,[status(thm)],[34156, 34154])).
% 5.46/5.01 tff(34158,plain,
% 5.46/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s198)) | (~always3(s199)) | always3(s198))),
% 5.46/5.01 inference(quant_inst,[status(thm)],[])).
% 5.46/5.01 tff(34159,plain,
% 5.46/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s199)) | always3(s198) | (~trans(s199, s198))),
% 5.46/5.01 inference(modus_ponens,[status(thm)],[34158, 34157])).
% 5.46/5.01 tff(34160,plain,
% 5.46/5.01 ($false),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[34159, 11903, 38, 15335, 33993])).
% 5.46/5.01 tff(34161,plain,((~trans(s199, s198)) | (~always3(s199)) | always3(s198)), inference(lemma,lemma(discharge,[]))).
% 5.46/5.01 tff(34162,plain,
% 5.46/5.01 (~trans(s199, s198)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[34161, 34063, 33993])).
% 5.46/5.01 tff(34163,plain,
% 5.46/5.01 (~trans(s199, s94)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24441, 34063, 33592])).
% 5.46/5.01 tff(34164,plain,
% 5.46/5.01 (~trans(s199, s153)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25630, 34063, 34148])).
% 5.46/5.01 tff(34165,plain,
% 5.46/5.01 (~trans(s199, s161)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25640, 34063, 34111])).
% 5.46/5.01 tff(34166,plain,
% 5.46/5.01 (~trans(s199, s164)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25913, 34063, 34093])).
% 5.46/5.01 tff(34167,plain,
% 5.46/5.01 (~trans(s199, s118)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24896, 34063, 33480])).
% 5.46/5.01 tff(34168,plain,
% 5.46/5.01 (~trans(s199, s34)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15506, 34063, 33652])).
% 5.46/5.01 tff(34169,plain,
% 5.46/5.01 (~trans(s199, s26)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15517, 34063, 33660])).
% 5.46/5.01 tff(34170,plain,
% 5.46/5.01 (~trans(s199, s97)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24455, 34063, 33589])).
% 5.46/5.01 tff(34171,plain,
% 5.46/5.01 (~trans(s199, s112)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24466, 34063, 33574])).
% 5.46/5.01 tff(34172,plain,
% 5.46/5.01 (~trans(s199, s76)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[17819, 34063, 33610])).
% 5.46/5.01 tff(34173,plain,
% 5.46/5.01 (~trans(s199, s190)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[33387, 34063, 34002])).
% 5.46/5.01 tff(34174,plain,
% 5.46/5.01 (~trans(s199, s87)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24729, 34063, 33599])).
% 5.46/5.01 tff(34175,plain,
% 5.46/5.01 (~trans(s199, s50)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[18124, 34063, 33636])).
% 5.46/5.01 tff(34176,plain,
% 5.46/5.01 (~trans(s199, s182)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25815, 34063, 34011])).
% 5.46/5.01 tff(34177,plain,
% 5.46/5.01 (~trans(s199, s135)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25495, 34063, 33404])).
% 5.46/5.01 tff(34178,plain,
% 5.46/5.01 (~trans(s199, s83)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24741, 34063, 33603])).
% 5.46/5.01 tff(34179,plain,
% 5.46/5.01 (~trans(s199, s100)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[24752, 34063, 33586])).
% 5.46/5.01 tff(34180,plain,
% 5.46/5.01 (~trans(s199, s196)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[33951, 34063, 33995])).
% 5.46/5.01 tff(34181,plain,
% 5.46/5.01 (~trans(s199, s141)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25506, 34063, 33397])).
% 5.46/5.01 tff(34182,plain,
% 5.46/5.01 (~trans(s199, s192)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[33376, 34063, 33368])).
% 5.46/5.01 tff(34183,plain,
% 5.46/5.01 (~trans(s199, s171)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[25994, 34063, 34086])).
% 5.46/5.01 tff(34184,plain,
% 5.46/5.01 (~trans(s199, s36)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15396, 34063, 33650])).
% 5.46/5.01 tff(34185,plain,
% 5.46/5.01 (trans(s199, s19)),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15311, 34184, 13664, 34183, 34182, 34181, 34180, 34179, 34178, 34177, 34176, 34175, 34174, 34173, 34172, 13653, 13652, 13651, 13650, 33935, 13648, 13647, 13646, 13645, 13644, 13643, 13642, 13641, 13640, 33934, 13639, 13638, 13637, 13636, 13635, 13634, 13633, 13632, 13631, 13630, 13629, 13628, 13627, 13626, 13625, 13624, 13623, 13622, 13621, 13620, 13619, 13618, 13617, 13616, 13615, 13614, 13613, 13612, 13611, 13610, 33933, 33825, 13607, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13598, 13597, 13596, 13595, 13594, 13593, 13592, 33810, 13590, 13589, 13585, 13588, 13584, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13568, 13567, 13566, 13565, 13564, 13563, 13562, 13561, 13560, 13559, 13558, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13665, 34171, 34170, 34169, 34168, 34167, 34166, 34165, 34164, 34163, 34162, 34153, 34152, 34147, 34146, 34145, 34144, 34143, 34142, 34141, 34140, 34139, 34138, 34137, 34136, 34135, 34134, 34133, 34132, 34131, 34130, 34129, 34128, 34127, 34126, 34125, 34124, 34123, 34122, 34121, 34120, 34119, 34110, 34109, 34108, 34107, 34106, 34105, 34104, 34103, 34102, 34101, 34100, 34099, 34098, 34097, 34096, 34083, 34082, 34081, 34080, 34079, 34078, 34077, 34076, 34075, 34074, 34073, 34072, 34071, 34070, 34069, 34068, 34067, 34066, 34065, 34064])).
% 5.46/5.01 tff(34186,plain,
% 5.46/5.01 ($false),
% 5.46/5.01 inference(unit_resolution,[status(thm)],[15483, 34185, 38, 34063, 33667])).
% 5.46/5.01 tff(34187,plain,(always3(s198) | trans(s199, s61) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s193) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s152) | trans(s199, s78) | trans(s199, s168) | trans(s199, s197) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s166) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s167) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s176) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s169) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s145) | trans(s199, s163) | trans(s199, s173) | trans(s199, s127) | trans(s199, s137) | trans(s199, s194) | trans(s199, s185) | trans(s199, s172) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s184) | trans(s199, s57) | trans(s199, s86) | trans(s199, s199) | trans(s199, s29) | trans(s199, s186) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s149) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s144) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s188) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s63) | always3(s148) | always3(s192) | xuntil6(s199)), inference(lemma,lemma(discharge,[]))).
% 5.46/5.02 tff(34188,plain,
% 5.46/5.02 (always3(s198)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34187, 33909, 3384, 33880, 33816, 33858, 33860, 33856, 33855, 33854, 33853, 33852, 33851, 13642, 33850, 13640, 33849, 33848, 33847, 33857, 33845, 13634, 33844, 33843, 33842, 33841, 13629, 33840, 33839, 33838, 13625, 33837, 33836, 33835, 33834, 33833, 33832, 13618, 33831, 33830, 33829, 33828, 13613, 13612, 33827, 33826, 33879, 33825, 13607, 33824, 33823, 33822, 33821, 33820, 33819, 33818, 33817, 33846, 33814, 13596, 13595, 33813, 33812, 33811, 33810, 33809, 33808, 33807, 33871, 33765, 33501, 33795, 33794, 33793, 33490, 33792, 33489, 33791, 33790, 33789, 33788, 33787, 33786, 33785, 33784, 33783, 13568, 33782, 33488, 33781, 33780, 33487, 33779, 33486, 13560, 33778, 33357, 33482, 33777, 33776, 33775, 33774, 33773, 33772, 33771, 33770, 33769, 33768, 33767, 33766, 33806, 25526, 33338, 33859])).
% 5.46/5.02 tff(34189,plain,
% 5.46/5.02 ($false),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3576, 145, 34188, 33992])).
% 5.46/5.02 tff(34190,plain,(always3(s195) | xuntil6(s199) | trans(s199, s171) | trans(s199, s182) | trans(s199, s152) | trans(s199, s168) | trans(s199, s166) | trans(s199, s167) | trans(s199, s176) | trans(s199, s169) | trans(s199, s163) | trans(s199, s173) | trans(s199, s185) | trans(s199, s172) | trans(s199, s151) | trans(s199, s160) | trans(s199, s184) | trans(s199, s149) | trans(s199, s158) | trans(s199, s164) | trans(s199, s161) | trans(s199, s153) | trans(s199, s150) | trans(s199, s157) | trans(s199, s180) | trans(s199, s179) | trans(s199, s177) | trans(s199, s156) | trans(s199, s181) | trans(s199, s174) | trans(s199, s159) | trans(s199, s165) | trans(s199, s155) | trans(s199, s175) | trans(s199, s154) | trans(s199, s170) | trans(s199, s183) | trans(s199, s162) | trans(s199, s178) | always3(s148) | (~until5(s184)) | node4(s193)), inference(lemma,lemma(discharge,[]))).
% 5.46/5.02 tff(34191,plain,
% 5.46/5.02 (always3(s195) | xuntil6(s199) | trans(s199, s171) | trans(s199, s182) | trans(s199, s152) | trans(s199, s168) | trans(s199, s166) | trans(s199, s167) | trans(s199, s176) | trans(s199, s169) | trans(s199, s163) | trans(s199, s173) | trans(s199, s185) | trans(s199, s172) | trans(s199, s151) | trans(s199, s160) | trans(s199, s184) | trans(s199, s149) | trans(s199, s158) | trans(s199, s164) | trans(s199, s161) | trans(s199, s153) | trans(s199, s150) | trans(s199, s157) | trans(s199, s180) | trans(s199, s179) | trans(s199, s177) | trans(s199, s156) | trans(s199, s181) | trans(s199, s174) | trans(s199, s159) | trans(s199, s165) | trans(s199, s155) | trans(s199, s175) | trans(s199, s154) | trans(s199, s170) | trans(s199, s183) | trans(s199, s162) | trans(s199, s178) | always3(s148) | (~until5(s184))),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34190, 16000])).
% 5.46/5.02 tff(34192,plain,
% 5.46/5.02 (xuntil6(s199)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34191, 33556, 3390, 33555, 33390, 33545, 33544, 33543, 33542, 33541, 33540, 33539, 33538, 13596, 33537, 33536, 13642, 13560, 33478, 33477, 13536, 13531, 13529, 33465, 33464, 33463, 13521, 33462, 33450, 33449, 33444, 13505, 33525, 13661, 33524, 33391, 33441, 33367, 25526, 33523, 13568])).
% 5.46/5.02 tff(34193,plain,
% 5.46/5.02 (until2p7(s199)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[26046, 33525, 13665, 33545, 13662, 13661, 33878, 13659, 13658, 33874, 33716, 13655, 13654, 33860, 13652, 13651, 13650, 33715, 13648, 13647, 13646, 13645, 13644, 13643, 13642, 13641, 33541, 13639, 13638, 13637, 13636, 13635, 33539, 13633, 13632, 13631, 33841, 33544, 13628, 13627, 13626, 33543, 13624, 33836, 13622, 13621, 13620, 13619, 33542, 13617, 13616, 13615, 33828, 33537, 33540, 33827, 33826, 13609, 13608, 33538, 13606, 13605, 13604, 13603, 33820, 13601, 33818, 33817, 13598, 13597, 13596, 33556, 13594, 33812, 33811, 13591, 13590, 13589, 13588, 13587, 33524, 34192, 33501, 13583, 13582, 13581, 33490, 13579, 33489, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13568, 13567, 33488, 13565, 13564, 33487, 13562, 33486, 13560, 13559, 33483, 33482, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 33481, 33478, 33477, 13536, 13535, 13534, 13532, 13531, 13530, 13529, 33476, 13527, 13526, 13525, 33465, 33464, 33463, 13521, 33462, 33461, 13518, 33451, 33450, 13515, 13514, 13513, 13512, 33449, 33445, 33444, 13508, 33443, 13506, 13505, 13504, 13503, 13502, 13501, 13500, 33442, 13498, 33441, 33424, 33420, 33419, 13493, 33418, 33417, 13490, 13489, 33400, 33391, 33390, 33389, 33378, 13440, 33367, 13438, 13437, 33359, 13435, 13434, 13433, 13378, 13664, 33357, 33346])).
% 5.46/5.02 tff(34194,plain,
% 5.46/5.02 (node4(s199)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[8297, 34193])).
% 5.46/5.02 tff(34195,plain,
% 5.46/5.02 (m_main_v_request(s199)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[68, 34194])).
% 5.46/5.02 tff(34196,plain,
% 5.46/5.02 (~node2(s199, s199)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[33757, 34195])).
% 5.46/5.02 tff(34197,plain,
% 5.46/5.02 (~trans(s199, s199)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[33764, 34196])).
% 5.46/5.02 tff(34198,plain,
% 5.46/5.02 (~trans(s199, s197)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[33908, 34195])).
% 5.46/5.02 tff(34199,plain,
% 5.46/5.02 ((~trans(s199, s195)) | always3(s195)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[33930, 15333])).
% 5.46/5.02 tff(34200,plain,
% 5.46/5.02 (~trans(s199, s195)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34199, 3390])).
% 5.46/5.02 tff(34201,plain,
% 5.46/5.02 ((~trans(s199, s196)) | always3(s196)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[33951, 15333])).
% 5.46/5.02 tff(34202,plain,
% 5.46/5.02 (always3(s196)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34201, 33936])).
% 5.46/5.02 tff(34203,plain,
% 5.46/5.02 (~m_main_v_state(s196, c_busy)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3512, 145, 34202])).
% 5.46/5.02 tff(34204,plain,
% 5.46/5.02 ($false),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[33959, 166, 34203, 32885, 32872, 33940])).
% 5.46/5.02 tff(34205,plain,((~trans(s199, s196)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/5.02 tff(34206,plain,
% 5.46/5.02 (~trans(s199, s196)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34205, 34195])).
% 5.46/5.02 tff(34207,plain,
% 5.46/5.02 (trans(s199, s198)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[15311, 34206, 34200, 33476, 13665, 33357, 13664, 33378, 33878, 13659, 13658, 33874, 33716, 13655, 13654, 33525, 13598, 13651, 13650, 33715, 13648, 13647, 13646, 13645, 13644, 13643, 13661, 13641, 33545, 13639, 13638, 13637, 13636, 13635, 33541, 13633, 13632, 13631, 33841, 33544, 13628, 13627, 13626, 33543, 13624, 33836, 13622, 13621, 13620, 13619, 33542, 13617, 13616, 13615, 33828, 33539, 33540, 33827, 33826, 13609, 13608, 33538, 13606, 13605, 13604, 13603, 33820, 13601, 33818, 33817, 13652, 13597, 13596, 33537, 13594, 33812, 33811, 13591, 13590, 13589, 13588, 13587, 33524, 13642, 33556, 13583, 13582, 13581, 33490, 13579, 33489, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13568, 13567, 33488, 13565, 13564, 33487, 13562, 33486, 13560, 13559, 33501, 33482, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 33481, 33478, 33477, 13536, 33860, 13534, 34198, 13532, 13531, 13530, 13529, 13535, 13527, 13526, 13525, 33465, 33464, 33463, 13521, 33462, 33461, 13518, 33451, 33450, 13515, 13514, 13513, 13512, 33449, 33445, 33444, 13508, 33443, 13506, 13505, 13504, 13503, 13502, 13501, 13500, 33442, 13498, 33441, 33424, 33420, 33419, 13493, 33418, 33417, 13490, 13489, 33400, 33391, 33390, 33389, 13662, 33536, 34197, 33806, 33871, 13440, 33367, 13438, 13437, 33359, 13435, 13434, 13433, 33692, 33555, 13378])).
% 5.46/5.02 tff(34208,assumption,(~node2(s199, s198)), introduced(assumption)).
% 5.46/5.02 tff(34209,plain,
% 5.46/5.02 ($false),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[33980, 11903, 7, 34208])).
% 5.46/5.02 tff(34210,plain,((~trans(s199, s198)) | node2(s199, s198)), inference(lemma,lemma(discharge,[]))).
% 5.46/5.02 tff(34211,plain,
% 5.46/5.02 (node2(s199, s198)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34210, 34207])).
% 5.46/5.02 tff(34212,assumption,(node2(s199, s198)), introduced(assumption)).
% 5.46/5.02 tff(34213,assumption,(m_main_v_state(s199, c_ready)), introduced(assumption)).
% 5.46/5.02 tff(34214,plain,
% 5.46/5.02 ($false),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[33989, 166, 8326, 34213, 32872, 34212])).
% 5.46/5.02 tff(34215,plain,((~node2(s199, s198)) | m_main_v_state(s198, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/5.02 tff(34216,plain,
% 5.46/5.02 ((~node2(s199, s198)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s199))),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34215, 32885])).
% 5.46/5.02 tff(34217,plain,
% 5.46/5.02 (m_main_v_state(s198, c_busy)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34216, 34211, 34195])).
% 5.46/5.02 tff(34218,plain,
% 5.46/5.02 ((~trans(s199, s198)) | always3(s198)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34161, 15333])).
% 5.46/5.02 tff(34219,plain,
% 5.46/5.02 (always3(s198)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34218, 34207])).
% 5.46/5.02 tff(34220,plain,
% 5.46/5.02 ($false),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3576, 145, 34219, 34217])).
% 5.46/5.02 tff(34221,plain,(always3(s195) | trans(s199, s63) | trans(s199, s61) | trans(s199, s100) | trans(s199, s83) | trans(s199, s50) | trans(s199, s87) | trans(s199, s0) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s154) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s113) | trans(s199, s2) | trans(s199, s74) | trans(s199, s151) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s152) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s149) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s158) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s153) | trans(s199, s94) | trans(s199, s68) | trans(s199, s150) | trans(s199, s35) | trans(s199, s157) | trans(s199, s19) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s156) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s37) | trans(s199, s79) | trans(s199, s155) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s46) | trans(s199, s108) | trans(s199, s36) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | always3(s148)), inference(lemma,lemma(discharge,[]))).
% 5.46/5.02 tff(34222,plain,
% 5.46/5.02 (always3(s195)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34221, 33262, 13664, 13659, 13658, 13655, 13654, 13598, 13651, 13650, 33337, 13647, 13646, 13645, 33322, 13643, 13665, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13627, 13626, 13624, 13622, 33309, 13620, 13619, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13604, 13603, 13601, 13652, 13597, 13560, 13594, 13591, 13590, 13589, 13588, 13587, 13644, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 33295, 13567, 13565, 13564, 13562, 13648, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13621, 13534, 13532, 13531, 13530, 13536, 13535, 13527, 13526, 13525, 13521, 13518, 13515, 13514, 13513, 13512, 13508, 13506, 33280, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 13489, 13662, 13440, 13438, 13437, 13435, 13434, 13433, 13378, 13596])).
% 5.46/5.02 tff(34223,plain,
% 5.46/5.02 (always3(s196)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3302, 34222])).
% 5.46/5.02 tff(34224,plain,
% 5.46/5.02 (always3(s197)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3290, 34223])).
% 5.46/5.02 tff(34225,plain,
% 5.46/5.02 (always3(s198)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3278, 34224])).
% 5.46/5.02 tff(34226,plain,
% 5.46/5.02 (~m_main_v_state(s198, c_busy)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3576, 145, 34225])).
% 5.46/5.02 tff(34227,plain,
% 5.46/5.02 (~node2(s199, s198)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34216, 34226, 32872])).
% 5.46/5.02 tff(34228,plain,
% 5.46/5.02 (~trans(s199, s198)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34210, 34227])).
% 5.46/5.02 tff(34229,plain,
% 5.46/5.02 (~always3(s145)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[4322, 33264])).
% 5.46/5.02 tff(34230,plain,
% 5.46/5.02 (~always3(s144)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[4334, 34229])).
% 5.46/5.02 tff(34231,plain,
% 5.46/5.02 (~always3(s143)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[4968, 34230])).
% 5.46/5.02 tff(34232,plain,
% 5.46/5.02 (~always3(s142)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[5006, 34231])).
% 5.46/5.02 tff(34233,plain,
% 5.46/5.02 (~always3(s141)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[5035, 34232])).
% 5.46/5.02 tff(34234,plain,
% 5.46/5.02 (~always3(s140)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[5064, 34233])).
% 5.46/5.02 tff(34235,plain,
% 5.46/5.02 (~always3(s139)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[5093, 34234])).
% 5.46/5.02 tff(34236,plain,
% 5.46/5.02 (~always3(s138)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[5122, 34235])).
% 5.46/5.02 tff(34237,plain,
% 5.46/5.02 (~always3(s137)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[5151, 34236])).
% 5.46/5.02 tff(34238,plain,
% 5.46/5.02 (~always3(s136)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[5180, 34237])).
% 5.46/5.02 tff(34239,plain,
% 5.46/5.02 (~always3(s135)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[5209, 34238])).
% 5.46/5.02 tff(34240,plain,
% 5.46/5.02 (~always3(s134)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[5238, 34239])).
% 5.46/5.02 tff(34241,plain,
% 5.46/5.02 (~always3(s133)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[5267, 34240])).
% 5.46/5.02 tff(34242,plain,
% 5.46/5.02 (~always3(s132)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[5296, 34241])).
% 5.46/5.02 tff(34243,plain,
% 5.46/5.02 (~always3(s131)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[5325, 34242])).
% 5.46/5.02 tff(34244,plain,
% 5.46/5.02 (~always3(s130)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[5354, 34243])).
% 5.46/5.02 tff(34245,plain,
% 5.46/5.02 (~always3(s129)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[5383, 34244])).
% 5.46/5.02 tff(34246,plain,
% 5.46/5.02 (~always3(s128)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[5412, 34245])).
% 5.46/5.02 tff(34247,plain,
% 5.46/5.02 (~always3(s127)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[5436, 34246])).
% 5.46/5.02 tff(34248,plain,
% 5.46/5.02 (~trans(s199, s127)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[25022, 34247])).
% 5.46/5.02 tff(34249,plain,
% 5.46/5.02 (~trans(s199, s143)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[26040, 34231])).
% 5.46/5.02 tff(34250,plain,
% 5.46/5.02 (~trans(s199, s129)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[25001, 34245])).
% 5.46/5.02 tff(34251,plain,
% 5.46/5.02 (~trans(s199, s138)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[25435, 34236])).
% 5.46/5.02 tff(34252,plain,
% 5.46/5.02 (~trans(s199, s135)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[25496, 34239])).
% 5.46/5.02 tff(34253,plain,
% 5.46/5.02 (~trans(s199, s148)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[25535, 33262])).
% 5.46/5.02 tff(34254,plain,
% 5.46/5.02 (~trans(s199, s131)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[24981, 34243])).
% 5.46/5.02 tff(34255,plain,
% 5.46/5.02 (~m_main_v_state(s195, c_busy)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3425, 145, 34222])).
% 5.46/5.02 tff(34256,assumption,(node2(s199, s195)), introduced(assumption)).
% 5.46/5.02 tff(34257,plain,
% 5.46/5.02 (((~![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(s195, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s195)))),
% 5.46/5.02 inference(rewrite,[status(thm)],[])).
% 5.46/5.02 tff(34258,plain,
% 5.46/5.02 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s195)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s195, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s195)))),
% 5.46/5.02 inference(rewrite,[status(thm)],[])).
% 5.46/5.02 tff(34259,plain,
% 5.46/5.02 (((~![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(s199, c_ready)) | (~node2(s199, s195)) | m_main_v_state(s195, 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(s195, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s195))))),
% 5.46/5.02 inference(monotonicity,[status(thm)],[34258])).
% 5.46/5.02 tff(34260,plain,
% 5.46/5.02 (((~![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(s199, c_ready)) | (~node2(s199, s195)) | m_main_v_state(s195, 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(s195, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s195)))),
% 5.46/5.02 inference(transitivity,[status(thm)],[34259, 34257])).
% 5.46/5.02 tff(34261,plain,
% 5.46/5.02 ((~![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(s199, c_ready)) | (~node2(s199, s195)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s199)))),
% 5.46/5.02 inference(quant_inst,[status(thm)],[])).
% 5.46/5.02 tff(34262,plain,
% 5.46/5.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s195, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s195))),
% 5.46/5.02 inference(modus_ponens,[status(thm)],[34261, 34260])).
% 5.46/5.02 tff(34263,plain,
% 5.46/5.02 ($false),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34262, 166, 15925, 32885, 32872, 34256])).
% 5.46/5.02 tff(34264,plain,((~node2(s199, s195)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/5.02 tff(34265,plain,
% 5.46/5.02 (~node2(s199, s195)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34264, 34255, 32872])).
% 5.46/5.02 tff(34266,assumption,(~node2(s199, s195)), introduced(assumption)).
% 5.46/5.02 tff(34267,plain,
% 5.46/5.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s195)) | node2(s199, s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s195)) | node2(s199, s195))),
% 5.46/5.02 inference(rewrite,[status(thm)],[])).
% 5.46/5.02 tff(34268,plain,
% 5.46/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s195)) | node2(s199, s195))),
% 5.46/5.02 inference(quant_inst,[status(thm)],[])).
% 5.46/5.02 tff(34269,plain,
% 5.46/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s195)) | node2(s199, s195)),
% 5.46/5.02 inference(modus_ponens,[status(thm)],[34268, 34267])).
% 5.46/5.02 tff(34270,plain,
% 5.46/5.02 ($false),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34269, 13464, 7, 34266])).
% 5.46/5.02 tff(34271,plain,((~trans(s199, s195)) | node2(s199, s195)), inference(lemma,lemma(discharge,[]))).
% 5.46/5.02 tff(34272,plain,
% 5.46/5.02 (~trans(s199, s195)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34271, 34265])).
% 5.46/5.02 tff(34273,plain,
% 5.46/5.02 (~always3(s190)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3362, 33466])).
% 5.46/5.02 tff(34274,plain,
% 5.46/5.02 (~always3(s189)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3374, 34273])).
% 5.46/5.02 tff(34275,plain,
% 5.46/5.02 (~always3(s188)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3760, 34274])).
% 5.46/5.02 tff(34276,plain,
% 5.46/5.02 (~always3(s187)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3809, 34275])).
% 5.46/5.02 tff(34277,plain,
% 5.46/5.02 (~always3(s186)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3821, 34276])).
% 5.46/5.02 tff(34278,plain,
% 5.46/5.02 (~always3(s185)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3833, 34277])).
% 5.46/5.02 tff(34279,plain,
% 5.46/5.02 (~always3(s184)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3845, 34278])).
% 5.46/5.02 tff(34280,plain,
% 5.46/5.02 (~always3(s183)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3857, 34279])).
% 5.46/5.02 tff(34281,plain,
% 5.46/5.02 (~always3(s182)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3873, 34280])).
% 5.46/5.02 tff(34282,plain,
% 5.46/5.02 (~always3(s181)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3885, 34281])).
% 5.46/5.02 tff(34283,plain,
% 5.46/5.02 (~always3(s180)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3901, 34282])).
% 5.46/5.02 tff(34284,plain,
% 5.46/5.02 (~always3(s179)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3913, 34283])).
% 5.46/5.02 tff(34285,plain,
% 5.46/5.02 (~always3(s178)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3925, 34284])).
% 5.46/5.02 tff(34286,plain,
% 5.46/5.02 (~always3(s177)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3937, 34285])).
% 5.46/5.02 tff(34287,plain,
% 5.46/5.02 (~always3(s176)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3949, 34286])).
% 5.46/5.02 tff(34288,plain,
% 5.46/5.02 (~always3(s175)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3961, 34287])).
% 5.46/5.02 tff(34289,plain,
% 5.46/5.02 (~always3(s174)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3973, 34288])).
% 5.46/5.02 tff(34290,plain,
% 5.46/5.02 (~always3(s173)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3986, 34289])).
% 5.46/5.02 tff(34291,plain,
% 5.46/5.02 (~always3(s172)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3998, 34290])).
% 5.46/5.02 tff(34292,plain,
% 5.46/5.02 (~always3(s171)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[4010, 34291])).
% 5.46/5.02 tff(34293,plain,
% 5.46/5.02 (~always3(s170)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[4022, 34292])).
% 5.46/5.02 tff(34294,plain,
% 5.46/5.02 (~always3(s169)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[4034, 34293])).
% 5.46/5.02 tff(34295,plain,
% 5.46/5.02 (~always3(s168)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[4046, 34294])).
% 5.46/5.02 tff(34296,plain,
% 5.46/5.02 (~always3(s167)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[4058, 34295])).
% 5.46/5.02 tff(34297,plain,
% 5.46/5.02 (~always3(s166)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[4070, 34296])).
% 5.46/5.02 tff(34298,plain,
% 5.46/5.02 (~always3(s165)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[4082, 34297])).
% 5.46/5.02 tff(34299,plain,
% 5.46/5.02 (~trans(s199, s173)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[25953, 34290])).
% 5.46/5.02 tff(34300,plain,
% 5.46/5.02 (~trans(s199, s171)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[25995, 34292])).
% 5.46/5.02 tff(34301,assumption,(~trans(s199, s195)), introduced(assumption)).
% 5.46/5.02 tff(34302,plain,
% 5.46/5.02 (~trans(s199, s175)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[26006, 34288])).
% 5.46/5.02 tff(34303,plain,
% 5.46/5.02 (~trans(s199, s179)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[25888, 34284])).
% 5.46/5.02 tff(34304,plain,
% 5.46/5.02 (~trans(s199, s181)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[25866, 34282])).
% 5.46/5.02 tff(34305,plain,
% 5.46/5.02 (~trans(s199, s191)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[33475, 33466])).
% 5.46/5.02 tff(34306,assumption,(~node2(s199, s192)), introduced(assumption)).
% 5.46/5.02 tff(34307,plain,
% 5.46/5.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s192)) | node2(s199, s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s192)) | node2(s199, s192))),
% 5.46/5.02 inference(rewrite,[status(thm)],[])).
% 5.46/5.02 tff(34308,plain,
% 5.46/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s192)) | node2(s199, s192))),
% 5.46/5.02 inference(quant_inst,[status(thm)],[])).
% 5.46/5.02 tff(34309,plain,
% 5.46/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s192)) | node2(s199, s192)),
% 5.46/5.02 inference(modus_ponens,[status(thm)],[34308, 34307])).
% 5.46/5.02 tff(34310,plain,
% 5.46/5.02 ($false),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34309, 13355, 7, 34306])).
% 5.46/5.02 tff(34311,plain,((~trans(s199, s192)) | node2(s199, s192)), inference(lemma,lemma(discharge,[]))).
% 5.46/5.02 tff(34312,plain,
% 5.46/5.02 (node2(s199, s192)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34311, 13355])).
% 5.46/5.02 tff(34313,assumption,(node2(s199, s192)), introduced(assumption)).
% 5.46/5.02 tff(34314,assumption,(~m_main_v_state(s192, c_busy)), introduced(assumption)).
% 5.46/5.02 tff(34315,plain,
% 5.46/5.02 (((~![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(s192, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s192)))),
% 5.46/5.02 inference(rewrite,[status(thm)],[])).
% 5.46/5.02 tff(34316,plain,
% 5.46/5.02 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s192)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s192, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s192)))),
% 5.46/5.02 inference(rewrite,[status(thm)],[])).
% 5.46/5.02 tff(34317,plain,
% 5.46/5.02 (((~![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(s199, c_ready)) | (~node2(s199, s192)) | m_main_v_state(s192, 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(s192, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s192))))),
% 5.46/5.02 inference(monotonicity,[status(thm)],[34316])).
% 5.46/5.02 tff(34318,plain,
% 5.46/5.02 (((~![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(s199, c_ready)) | (~node2(s199, s192)) | m_main_v_state(s192, 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(s192, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s192)))),
% 5.46/5.02 inference(transitivity,[status(thm)],[34317, 34315])).
% 5.46/5.02 tff(34319,plain,
% 5.46/5.02 ((~![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(s199, c_ready)) | (~node2(s199, s192)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s199)))),
% 5.46/5.02 inference(quant_inst,[status(thm)],[])).
% 5.46/5.02 tff(34320,plain,
% 5.46/5.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s192, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s192))),
% 5.46/5.02 inference(modus_ponens,[status(thm)],[34319, 34318])).
% 5.46/5.02 tff(34321,plain,
% 5.46/5.02 ($false),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34320, 166, 34314, 32885, 32872, 34313])).
% 5.46/5.02 tff(34322,plain,((~node2(s199, s192)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/5.02 tff(34323,plain,
% 5.46/5.02 (m_main_v_state(s192, c_busy)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34322, 34312, 32872])).
% 5.46/5.02 tff(34324,plain,
% 5.46/5.02 (always3(s192)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[33377, 13355])).
% 5.46/5.02 tff(34325,plain,
% 5.46/5.02 ($false),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3645, 145, 34324, 34323])).
% 5.46/5.02 tff(34326,plain,((~trans(s199, s192)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/5.02 tff(34327,plain,
% 5.46/5.02 (~trans(s199, s192)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34326, 32872])).
% 5.46/5.02 tff(34328,assumption,(~node2(s199, s189)), introduced(assumption)).
% 5.46/5.02 tff(34329,plain,
% 5.46/5.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s189)) | node2(s199, s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s189)) | node2(s199, s189))),
% 5.46/5.02 inference(rewrite,[status(thm)],[])).
% 5.46/5.02 tff(34330,plain,
% 5.46/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s189)) | node2(s199, s189))),
% 5.46/5.02 inference(quant_inst,[status(thm)],[])).
% 5.46/5.02 tff(34331,plain,
% 5.46/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s189)) | node2(s199, s189)),
% 5.46/5.02 inference(modus_ponens,[status(thm)],[34330, 34329])).
% 5.46/5.02 tff(34332,plain,
% 5.46/5.02 ($false),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34331, 13423, 7, 34328])).
% 5.46/5.02 tff(34333,plain,((~trans(s199, s189)) | node2(s199, s189)), inference(lemma,lemma(discharge,[]))).
% 5.46/5.02 tff(34334,plain,
% 5.46/5.02 (node2(s199, s189)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34333, 13423])).
% 5.46/5.02 tff(34335,assumption,(node2(s199, s189)), introduced(assumption)).
% 5.46/5.02 tff(34336,assumption,(~m_main_v_state(s189, c_busy)), introduced(assumption)).
% 5.46/5.02 tff(34337,plain,
% 5.46/5.02 (((~![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(s189, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s189)))),
% 5.46/5.02 inference(rewrite,[status(thm)],[])).
% 5.46/5.02 tff(34338,plain,
% 5.46/5.02 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s189)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s189, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s189)))),
% 5.46/5.02 inference(rewrite,[status(thm)],[])).
% 5.46/5.02 tff(34339,plain,
% 5.46/5.02 (((~![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(s199, c_ready)) | (~node2(s199, s189)) | m_main_v_state(s189, 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(s189, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s189))))),
% 5.46/5.02 inference(monotonicity,[status(thm)],[34338])).
% 5.46/5.02 tff(34340,plain,
% 5.46/5.02 (((~![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(s199, c_ready)) | (~node2(s199, s189)) | m_main_v_state(s189, 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(s189, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s189)))),
% 5.46/5.02 inference(transitivity,[status(thm)],[34339, 34337])).
% 5.46/5.02 tff(34341,plain,
% 5.46/5.02 ((~![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(s199, c_ready)) | (~node2(s199, s189)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s199)))),
% 5.46/5.02 inference(quant_inst,[status(thm)],[])).
% 5.46/5.02 tff(34342,plain,
% 5.46/5.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s189, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s189))),
% 5.46/5.02 inference(modus_ponens,[status(thm)],[34341, 34340])).
% 5.46/5.02 tff(34343,plain,
% 5.46/5.02 ($false),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34342, 166, 34336, 32885, 32872, 34335])).
% 5.46/5.02 tff(34344,plain,((~node2(s199, s189)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/5.02 tff(34345,plain,
% 5.46/5.02 (m_main_v_state(s189, c_busy)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[34344, 34334, 32872])).
% 5.46/5.02 tff(34346,plain,
% 5.46/5.02 (always3(s189)),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[33691, 13423])).
% 5.46/5.02 tff(34347,plain,
% 5.46/5.02 ($false),
% 5.46/5.02 inference(unit_resolution,[status(thm)],[3767, 145, 34346, 34345])).
% 5.46/5.03 tff(34348,plain,((~trans(s199, s189)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/5.03 tff(34349,plain,
% 5.46/5.03 (~trans(s199, s189)),
% 5.46/5.03 inference(unit_resolution,[status(thm)],[34348, 32872])).
% 5.46/5.03 tff(34350,plain,
% 5.46/5.03 (~trans(s199, s167)),
% 5.46/5.03 inference(unit_resolution,[status(thm)],[25985, 34296])).
% 5.46/5.03 tff(34351,plain,
% 5.46/5.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s163)) | node2(s199, s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s163)) | node2(s199, s163))),
% 5.46/5.03 inference(rewrite,[status(thm)],[])).
% 5.46/5.03 tff(34352,plain,
% 5.46/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s163)) | node2(s199, s163))),
% 5.46/5.03 inference(quant_inst,[status(thm)],[])).
% 5.46/5.03 tff(34353,plain,
% 5.46/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s163)) | node2(s199, s163)),
% 5.46/5.03 inference(modus_ponens,[status(thm)],[34352, 34351])).
% 5.46/5.03 tff(34354,plain,
% 5.46/5.03 (node2(s199, s163)),
% 5.46/5.03 inference(unit_resolution,[status(thm)],[34353, 12783, 7])).
% 5.46/5.03 tff(34355,plain,
% 5.46/5.03 (always3(s163)),
% 5.46/5.03 inference(unit_resolution,[status(thm)],[25692, 12783])).
% 5.46/5.03 tff(34356,plain,
% 5.46/5.03 (~m_main_v_state(s163, c_busy)),
% 5.46/5.03 inference(unit_resolution,[status(thm)],[4567, 145, 34355])).
% 5.46/5.03 tff(34357,plain,
% 5.46/5.03 (((~![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(s163, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s163)))),
% 5.46/5.03 inference(rewrite,[status(thm)],[])).
% 5.46/5.03 tff(34358,plain,
% 5.46/5.03 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s163)) | m_main_v_state(s163, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s163, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s163)))),
% 5.46/5.03 inference(rewrite,[status(thm)],[])).
% 5.46/5.03 tff(34359,plain,
% 5.46/5.03 (((~![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(s199, c_ready)) | (~node2(s199, s163)) | m_main_v_state(s163, 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(s163, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s163))))),
% 5.46/5.03 inference(monotonicity,[status(thm)],[34358])).
% 5.46/5.03 tff(34360,plain,
% 5.46/5.03 (((~![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(s199, c_ready)) | (~node2(s199, s163)) | m_main_v_state(s163, 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(s163, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s163)))),
% 5.46/5.03 inference(transitivity,[status(thm)],[34359, 34357])).
% 5.46/5.03 tff(34361,plain,
% 5.46/5.03 ((~![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(s199, c_ready)) | (~node2(s199, s163)) | m_main_v_state(s163, c_busy) | (~m_main_v_request(s199)))),
% 5.46/5.03 inference(quant_inst,[status(thm)],[])).
% 5.46/5.03 tff(34362,plain,
% 5.46/5.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s163, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s163))),
% 5.46/5.03 inference(modus_ponens,[status(thm)],[34361, 34360])).
% 5.46/5.03 tff(34363,plain,
% 5.46/5.03 ($false),
% 5.46/5.03 inference(unit_resolution,[status(thm)],[34362, 166, 34356, 32885, 32872, 34354])).
% 5.46/5.03 tff(34364,plain,((~trans(s199, s163)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/5.03 tff(34365,plain,
% 5.46/5.03 (~trans(s199, s163)),
% 5.46/5.03 inference(unit_resolution,[status(thm)],[34364, 32872])).
% 5.46/5.03 tff(34366,plain,
% 5.46/5.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s162)) | node2(s199, s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s162)) | node2(s199, s162))),
% 5.46/5.03 inference(rewrite,[status(thm)],[])).
% 5.46/5.03 tff(34367,plain,
% 5.46/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s162)) | node2(s199, s162))),
% 5.46/5.03 inference(quant_inst,[status(thm)],[])).
% 5.46/5.03 tff(34368,plain,
% 5.46/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s162)) | node2(s199, s162)),
% 5.46/5.03 inference(modus_ponens,[status(thm)],[34367, 34366])).
% 5.46/5.03 tff(34369,plain,
% 5.46/5.03 (node2(s199, s162)),
% 5.46/5.03 inference(unit_resolution,[status(thm)],[34368, 11507, 7])).
% 5.46/5.03 tff(34370,plain,
% 5.46/5.03 (always3(s162)),
% 5.46/5.03 inference(unit_resolution,[status(thm)],[25559, 11507])).
% 5.46/5.03 tff(34371,plain,
% 5.46/5.03 (~m_main_v_state(s162, c_busy)),
% 5.46/5.03 inference(unit_resolution,[status(thm)],[4583, 145, 34370])).
% 5.46/5.03 tff(34372,plain,
% 5.46/5.03 (((~![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(s162, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s162)))),
% 5.46/5.03 inference(rewrite,[status(thm)],[])).
% 5.46/5.03 tff(34373,plain,
% 5.46/5.03 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s162)) | m_main_v_state(s162, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s162, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s162)))),
% 5.46/5.03 inference(rewrite,[status(thm)],[])).
% 5.46/5.03 tff(34374,plain,
% 5.46/5.03 (((~![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(s199, c_ready)) | (~node2(s199, s162)) | m_main_v_state(s162, 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(s162, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s162))))),
% 5.46/5.03 inference(monotonicity,[status(thm)],[34373])).
% 5.46/5.03 tff(34375,plain,
% 5.46/5.03 (((~![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(s199, c_ready)) | (~node2(s199, s162)) | m_main_v_state(s162, 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(s162, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s162)))),
% 5.46/5.03 inference(transitivity,[status(thm)],[34374, 34372])).
% 5.46/5.03 tff(34376,plain,
% 5.46/5.03 ((~![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(s199, c_ready)) | (~node2(s199, s162)) | m_main_v_state(s162, c_busy) | (~m_main_v_request(s199)))),
% 5.46/5.03 inference(quant_inst,[status(thm)],[])).
% 5.46/5.03 tff(34377,plain,
% 5.46/5.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s162, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s162))),
% 5.46/5.03 inference(modus_ponens,[status(thm)],[34376, 34375])).
% 5.46/5.03 tff(34378,plain,
% 5.46/5.03 ($false),
% 5.46/5.03 inference(unit_resolution,[status(thm)],[34377, 166, 34371, 32885, 32872, 34369])).
% 5.46/5.03 tff(34379,plain,((~trans(s199, s162)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/5.03 tff(34380,plain,
% 5.46/5.03 (~trans(s199, s162)),
% 5.46/5.03 inference(unit_resolution,[status(thm)],[34379, 32872])).
% 5.46/5.03 tff(34381,plain,
% 5.46/5.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s159)) | node2(s199, s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s159)) | node2(s199, s159))),
% 5.46/5.03 inference(rewrite,[status(thm)],[])).
% 5.46/5.03 tff(34382,plain,
% 5.46/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s159)) | node2(s199, s159))),
% 5.46/5.03 inference(quant_inst,[status(thm)],[])).
% 5.46/5.03 tff(34383,plain,
% 5.46/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s159)) | node2(s199, s159)),
% 5.46/5.03 inference(modus_ponens,[status(thm)],[34382, 34381])).
% 5.46/5.03 tff(34384,plain,
% 5.46/5.03 (node2(s199, s159)),
% 5.46/5.03 inference(unit_resolution,[status(thm)],[34383, 11661, 7])).
% 5.46/5.03 tff(34385,plain,
% 5.46/5.03 (always3(s159)),
% 5.46/5.03 inference(unit_resolution,[status(thm)],[25590, 11661])).
% 5.46/5.03 tff(34386,plain,
% 5.46/5.03 (~m_main_v_state(s159, c_busy)),
% 5.46/5.03 inference(unit_resolution,[status(thm)],[21547, 145, 34385])).
% 5.46/5.03 tff(34387,plain,
% 5.46/5.03 (((~![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(s159, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s159)))),
% 5.46/5.03 inference(rewrite,[status(thm)],[])).
% 5.46/5.03 tff(34388,plain,
% 5.46/5.03 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s159)) | m_main_v_state(s159, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s159, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s159)))),
% 5.46/5.03 inference(rewrite,[status(thm)],[])).
% 5.46/5.03 tff(34389,plain,
% 5.46/5.03 (((~![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(s199, c_ready)) | (~node2(s199, s159)) | m_main_v_state(s159, 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(s159, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s159))))),
% 5.46/5.03 inference(monotonicity,[status(thm)],[34388])).
% 5.46/5.03 tff(34390,plain,
% 5.46/5.03 (((~![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(s199, c_ready)) | (~node2(s199, s159)) | m_main_v_state(s159, 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(s159, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s159)))),
% 5.46/5.03 inference(transitivity,[status(thm)],[34389, 34387])).
% 5.46/5.03 tff(34391,plain,
% 5.46/5.03 ((~![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(s199, c_ready)) | (~node2(s199, s159)) | m_main_v_state(s159, c_busy) | (~m_main_v_request(s199)))),
% 5.46/5.03 inference(quant_inst,[status(thm)],[])).
% 5.46/5.03 tff(34392,plain,
% 5.46/5.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s159, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s159))),
% 5.46/5.03 inference(modus_ponens,[status(thm)],[34391, 34390])).
% 5.46/5.03 tff(34393,plain,
% 5.46/5.03 ($false),
% 5.46/5.03 inference(unit_resolution,[status(thm)],[34392, 166, 34386, 32885, 32872, 34384])).
% 5.46/5.03 tff(34394,plain,((~trans(s199, s159)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.46/5.03 tff(34395,plain,
% 5.46/5.03 (~trans(s199, s159)),
% 5.46/5.03 inference(unit_resolution,[status(thm)],[34394, 32872])).
% 5.46/5.03 tff(34396,plain,
% 5.46/5.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s164)) | node2(s199, s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s164)) | node2(s199, s164))),
% 5.46/5.03 inference(rewrite,[status(thm)],[])).
% 5.56/5.03 tff(34397,plain,
% 5.56/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s164)) | node2(s199, s164))),
% 5.56/5.03 inference(quant_inst,[status(thm)],[])).
% 5.56/5.03 tff(34398,plain,
% 5.56/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s164)) | node2(s199, s164)),
% 5.56/5.03 inference(modus_ponens,[status(thm)],[34397, 34396])).
% 5.56/5.03 tff(34399,plain,
% 5.56/5.03 (node2(s199, s164)),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[34398, 11958, 7])).
% 5.56/5.03 tff(34400,plain,
% 5.56/5.03 (~m_main_v_state(s164, c_busy)),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[8980, 145, 26397])).
% 5.56/5.03 tff(34401,plain,
% 5.56/5.03 (((~![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(s164, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s164)))),
% 5.56/5.03 inference(rewrite,[status(thm)],[])).
% 5.56/5.03 tff(34402,plain,
% 5.56/5.03 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s164)) | m_main_v_state(s164, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s164, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s164)))),
% 5.56/5.03 inference(rewrite,[status(thm)],[])).
% 5.56/5.03 tff(34403,plain,
% 5.56/5.03 (((~![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(s199, c_ready)) | (~node2(s199, s164)) | m_main_v_state(s164, 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(s164, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s164))))),
% 5.56/5.03 inference(monotonicity,[status(thm)],[34402])).
% 5.56/5.03 tff(34404,plain,
% 5.56/5.03 (((~![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(s199, c_ready)) | (~node2(s199, s164)) | m_main_v_state(s164, 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(s164, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s164)))),
% 5.56/5.03 inference(transitivity,[status(thm)],[34403, 34401])).
% 5.56/5.03 tff(34405,plain,
% 5.56/5.03 ((~![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(s199, c_ready)) | (~node2(s199, s164)) | m_main_v_state(s164, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.03 inference(quant_inst,[status(thm)],[])).
% 5.56/5.03 tff(34406,plain,
% 5.56/5.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s164, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s164))),
% 5.56/5.03 inference(modus_ponens,[status(thm)],[34405, 34404])).
% 5.56/5.03 tff(34407,plain,
% 5.56/5.03 ($false),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[34406, 166, 34400, 32885, 32872, 34399])).
% 5.56/5.03 tff(34408,plain,((~trans(s199, s164)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.03 tff(34409,plain,
% 5.56/5.03 (~trans(s199, s164)),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[34408, 32872])).
% 5.56/5.03 tff(34410,plain,
% 5.56/5.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s160)) | node2(s199, s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s160)) | node2(s199, s160))),
% 5.56/5.03 inference(rewrite,[status(thm)],[])).
% 5.56/5.03 tff(34411,plain,
% 5.56/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s160)) | node2(s199, s160))),
% 5.56/5.03 inference(quant_inst,[status(thm)],[])).
% 5.56/5.03 tff(34412,plain,
% 5.56/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s160)) | node2(s199, s160)),
% 5.56/5.03 inference(modus_ponens,[status(thm)],[34411, 34410])).
% 5.56/5.03 tff(34413,plain,
% 5.56/5.03 (node2(s199, s160)),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[34412, 12585, 7])).
% 5.56/5.03 tff(34414,plain,
% 5.56/5.03 (~m_main_v_state(s160, c_busy)),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[9063, 145, 27007])).
% 5.56/5.03 tff(34415,plain,
% 5.56/5.03 (((~![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(s160, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s160)))),
% 5.56/5.03 inference(rewrite,[status(thm)],[])).
% 5.56/5.03 tff(34416,plain,
% 5.56/5.03 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s160)) | m_main_v_state(s160, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s160, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s160)))),
% 5.56/5.03 inference(rewrite,[status(thm)],[])).
% 5.56/5.03 tff(34417,plain,
% 5.56/5.03 (((~![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(s199, c_ready)) | (~node2(s199, s160)) | m_main_v_state(s160, 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(s160, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s160))))),
% 5.56/5.03 inference(monotonicity,[status(thm)],[34416])).
% 5.56/5.03 tff(34418,plain,
% 5.56/5.03 (((~![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(s199, c_ready)) | (~node2(s199, s160)) | m_main_v_state(s160, 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(s160, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s160)))),
% 5.56/5.03 inference(transitivity,[status(thm)],[34417, 34415])).
% 5.56/5.03 tff(34419,plain,
% 5.56/5.03 ((~![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(s199, c_ready)) | (~node2(s199, s160)) | m_main_v_state(s160, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.03 inference(quant_inst,[status(thm)],[])).
% 5.56/5.03 tff(34420,plain,
% 5.56/5.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s160, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s160))),
% 5.56/5.03 inference(modus_ponens,[status(thm)],[34419, 34418])).
% 5.56/5.03 tff(34421,plain,
% 5.56/5.03 ($false),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[34420, 166, 34414, 32885, 32872, 34413])).
% 5.56/5.03 tff(34422,plain,((~trans(s199, s160)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.03 tff(34423,plain,
% 5.56/5.03 (~trans(s199, s160)),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[34422, 32872])).
% 5.56/5.03 tff(34424,plain,
% 5.56/5.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s126)) | node2(s199, s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s126)) | node2(s199, s126))),
% 5.56/5.03 inference(rewrite,[status(thm)],[])).
% 5.56/5.03 tff(34425,plain,
% 5.56/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s126)) | node2(s199, s126))),
% 5.56/5.03 inference(quant_inst,[status(thm)],[])).
% 5.56/5.03 tff(34426,plain,
% 5.56/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s126)) | node2(s199, s126)),
% 5.56/5.03 inference(modus_ponens,[status(thm)],[34425, 34424])).
% 5.56/5.03 tff(34427,plain,
% 5.56/5.03 (node2(s199, s126)),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[34426, 13179, 7])).
% 5.56/5.03 tff(34428,plain,
% 5.56/5.03 (always3(s126)),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[25012, 13179])).
% 5.56/5.03 tff(34429,plain,
% 5.56/5.03 (~m_main_v_state(s126, c_busy)),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[19126, 145, 34428])).
% 5.56/5.03 tff(34430,plain,
% 5.56/5.03 (((~![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(s126, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s126)))),
% 5.56/5.03 inference(rewrite,[status(thm)],[])).
% 5.56/5.03 tff(34431,plain,
% 5.56/5.03 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s126)) | m_main_v_state(s126, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s126, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s126)))),
% 5.56/5.03 inference(rewrite,[status(thm)],[])).
% 5.56/5.03 tff(34432,plain,
% 5.56/5.03 (((~![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(s199, c_ready)) | (~node2(s199, s126)) | m_main_v_state(s126, 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(s126, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s126))))),
% 5.56/5.03 inference(monotonicity,[status(thm)],[34431])).
% 5.56/5.03 tff(34433,plain,
% 5.56/5.03 (((~![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(s199, c_ready)) | (~node2(s199, s126)) | m_main_v_state(s126, 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(s126, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s126)))),
% 5.56/5.03 inference(transitivity,[status(thm)],[34432, 34430])).
% 5.56/5.03 tff(34434,plain,
% 5.56/5.03 ((~![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(s199, c_ready)) | (~node2(s199, s126)) | m_main_v_state(s126, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.03 inference(quant_inst,[status(thm)],[])).
% 5.56/5.03 tff(34435,plain,
% 5.56/5.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s126, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s126))),
% 5.56/5.03 inference(modus_ponens,[status(thm)],[34434, 34433])).
% 5.56/5.03 tff(34436,plain,
% 5.56/5.03 ($false),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[34435, 166, 34429, 32885, 32872, 34427])).
% 5.56/5.03 tff(34437,plain,((~trans(s199, s126)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.03 tff(34438,plain,
% 5.56/5.03 (~trans(s199, s126)),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[34437, 32872])).
% 5.56/5.03 tff(34439,plain,
% 5.56/5.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s130)) | node2(s199, s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s130)) | node2(s199, s130))),
% 5.56/5.03 inference(rewrite,[status(thm)],[])).
% 5.56/5.03 tff(34440,plain,
% 5.56/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s130)) | node2(s199, s130))),
% 5.56/5.03 inference(quant_inst,[status(thm)],[])).
% 5.56/5.03 tff(34441,plain,
% 5.56/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s130)) | node2(s199, s130)),
% 5.56/5.03 inference(modus_ponens,[status(thm)],[34440, 34439])).
% 5.56/5.03 tff(34442,plain,
% 5.56/5.03 (node2(s199, s130)),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[34441, 11529, 7])).
% 5.56/5.03 tff(34443,plain,
% 5.56/5.03 (always3(s130)),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[24930, 11529])).
% 5.56/5.03 tff(34444,plain,
% 5.56/5.03 (~m_main_v_state(s130, c_busy)),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[18948, 145, 34443])).
% 5.56/5.03 tff(34445,plain,
% 5.56/5.03 (((~![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(s130, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s130)))),
% 5.56/5.03 inference(rewrite,[status(thm)],[])).
% 5.56/5.03 tff(34446,plain,
% 5.56/5.03 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s130)) | m_main_v_state(s130, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s130, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s130)))),
% 5.56/5.03 inference(rewrite,[status(thm)],[])).
% 5.56/5.03 tff(34447,plain,
% 5.56/5.03 (((~![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(s199, c_ready)) | (~node2(s199, s130)) | m_main_v_state(s130, 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(s130, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s130))))),
% 5.56/5.03 inference(monotonicity,[status(thm)],[34446])).
% 5.56/5.03 tff(34448,plain,
% 5.56/5.03 (((~![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(s199, c_ready)) | (~node2(s199, s130)) | m_main_v_state(s130, 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(s130, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s130)))),
% 5.56/5.03 inference(transitivity,[status(thm)],[34447, 34445])).
% 5.56/5.03 tff(34449,plain,
% 5.56/5.03 ((~![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(s199, c_ready)) | (~node2(s199, s130)) | m_main_v_state(s130, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.03 inference(quant_inst,[status(thm)],[])).
% 5.56/5.03 tff(34450,plain,
% 5.56/5.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s130, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s130))),
% 5.56/5.03 inference(modus_ponens,[status(thm)],[34449, 34448])).
% 5.56/5.03 tff(34451,plain,
% 5.56/5.03 ($false),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[34450, 166, 34444, 32885, 32872, 34442])).
% 5.56/5.03 tff(34452,plain,((~trans(s199, s130)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.03 tff(34453,plain,
% 5.56/5.03 (~trans(s199, s130)),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[34452, 32872])).
% 5.56/5.03 tff(34454,plain,
% 5.56/5.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s132)) | node2(s199, s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s132)) | node2(s199, s132))),
% 5.56/5.03 inference(rewrite,[status(thm)],[])).
% 5.56/5.03 tff(34455,plain,
% 5.56/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s132)) | node2(s199, s132))),
% 5.56/5.03 inference(quant_inst,[status(thm)],[])).
% 5.56/5.03 tff(34456,plain,
% 5.56/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s132)) | node2(s199, s132)),
% 5.56/5.03 inference(modus_ponens,[status(thm)],[34455, 34454])).
% 5.56/5.03 tff(34457,plain,
% 5.56/5.03 (node2(s199, s132)),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[34456, 12167, 7])).
% 5.56/5.03 tff(34458,plain,
% 5.56/5.03 (always3(s132)),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[24951, 12167])).
% 5.56/5.03 tff(34459,plain,
% 5.56/5.03 (~m_main_v_state(s132, c_busy)),
% 5.56/5.03 inference(unit_resolution,[status(thm)],[18867, 145, 34458])).
% 5.56/5.03 tff(34460,plain,
% 5.56/5.03 (((~![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(s132, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s132)))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34461,plain,
% 5.56/5.04 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s132)) | m_main_v_state(s132, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s132, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s132)))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34462,plain,
% 5.56/5.04 (((~![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(s199, c_ready)) | (~node2(s199, s132)) | m_main_v_state(s132, 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(s132, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s132))))),
% 5.56/5.04 inference(monotonicity,[status(thm)],[34461])).
% 5.56/5.04 tff(34463,plain,
% 5.56/5.04 (((~![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(s199, c_ready)) | (~node2(s199, s132)) | m_main_v_state(s132, 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(s132, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s132)))),
% 5.56/5.04 inference(transitivity,[status(thm)],[34462, 34460])).
% 5.56/5.04 tff(34464,plain,
% 5.56/5.04 ((~![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(s199, c_ready)) | (~node2(s199, s132)) | m_main_v_state(s132, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.04 inference(quant_inst,[status(thm)],[])).
% 5.56/5.04 tff(34465,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s132, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s132))),
% 5.56/5.04 inference(modus_ponens,[status(thm)],[34464, 34463])).
% 5.56/5.04 tff(34466,plain,
% 5.56/5.04 ($false),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34465, 166, 34459, 32885, 32872, 34457])).
% 5.56/5.04 tff(34467,plain,((~trans(s199, s132)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.04 tff(34468,plain,
% 5.56/5.04 (~trans(s199, s132)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34467, 32872])).
% 5.56/5.04 tff(34469,plain,
% 5.56/5.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s128)) | node2(s199, s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s128)) | node2(s199, s128))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34470,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s128)) | node2(s199, s128))),
% 5.56/5.04 inference(quant_inst,[status(thm)],[])).
% 5.56/5.04 tff(34471,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s128)) | node2(s199, s128)),
% 5.56/5.04 inference(modus_ponens,[status(thm)],[34470, 34469])).
% 5.56/5.04 tff(34472,plain,
% 5.56/5.04 (node2(s199, s128)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34471, 11650, 7])).
% 5.56/5.04 tff(34473,plain,
% 5.56/5.04 (always3(s128)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[24941, 11650])).
% 5.56/5.04 tff(34474,plain,
% 5.56/5.04 (~m_main_v_state(s128, c_busy)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[19041, 145, 34473])).
% 5.56/5.04 tff(34475,plain,
% 5.56/5.04 (((~![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(s128, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s128)))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34476,plain,
% 5.56/5.04 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s128)) | m_main_v_state(s128, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s128, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s128)))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34477,plain,
% 5.56/5.04 (((~![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(s199, c_ready)) | (~node2(s199, s128)) | m_main_v_state(s128, 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(s128, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s128))))),
% 5.56/5.04 inference(monotonicity,[status(thm)],[34476])).
% 5.56/5.04 tff(34478,plain,
% 5.56/5.04 (((~![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(s199, c_ready)) | (~node2(s199, s128)) | m_main_v_state(s128, 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(s128, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s128)))),
% 5.56/5.04 inference(transitivity,[status(thm)],[34477, 34475])).
% 5.56/5.04 tff(34479,plain,
% 5.56/5.04 ((~![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(s199, c_ready)) | (~node2(s199, s128)) | m_main_v_state(s128, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.04 inference(quant_inst,[status(thm)],[])).
% 5.56/5.04 tff(34480,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s128, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s128))),
% 5.56/5.04 inference(modus_ponens,[status(thm)],[34479, 34478])).
% 5.56/5.04 tff(34481,plain,
% 5.56/5.04 ($false),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34480, 166, 34474, 32885, 32872, 34472])).
% 5.56/5.04 tff(34482,plain,((~trans(s199, s128)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.04 tff(34483,plain,
% 5.56/5.04 (~trans(s199, s128)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34482, 32872])).
% 5.56/5.04 tff(34484,plain,
% 5.56/5.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s134)) | node2(s199, s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s134)) | node2(s199, s134))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34485,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s134)) | node2(s199, s134))),
% 5.56/5.04 inference(quant_inst,[status(thm)],[])).
% 5.56/5.04 tff(34486,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s134)) | node2(s199, s134)),
% 5.56/5.04 inference(modus_ponens,[status(thm)],[34485, 34484])).
% 5.56/5.04 tff(34487,plain,
% 5.56/5.04 (node2(s199, s134)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34486, 12420, 7])).
% 5.56/5.04 tff(34488,plain,
% 5.56/5.04 (((~![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(s134, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s134)))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34489,plain,
% 5.56/5.04 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s134)) | m_main_v_state(s134, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s134, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s134)))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34490,plain,
% 5.56/5.04 (((~![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(s199, c_ready)) | (~node2(s199, s134)) | m_main_v_state(s134, 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(s134, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s134))))),
% 5.56/5.04 inference(monotonicity,[status(thm)],[34489])).
% 5.56/5.04 tff(34491,plain,
% 5.56/5.04 (((~![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(s199, c_ready)) | (~node2(s199, s134)) | m_main_v_state(s134, 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(s134, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s134)))),
% 5.56/5.04 inference(transitivity,[status(thm)],[34490, 34488])).
% 5.56/5.04 tff(34492,plain,
% 5.56/5.04 ((~![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(s199, c_ready)) | (~node2(s199, s134)) | m_main_v_state(s134, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.04 inference(quant_inst,[status(thm)],[])).
% 5.56/5.04 tff(34493,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s134, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s134))),
% 5.56/5.04 inference(modus_ponens,[status(thm)],[34492, 34491])).
% 5.56/5.04 tff(34494,plain,
% 5.56/5.04 ($false),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34493, 166, 28071, 32885, 32872, 34487])).
% 5.56/5.04 tff(34495,plain,((~trans(s199, s134)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.04 tff(34496,plain,
% 5.56/5.04 (~trans(s199, s134)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34495, 32872])).
% 5.56/5.04 tff(34497,plain,
% 5.56/5.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s140)) | node2(s199, s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s140)) | node2(s199, s140))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34498,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s140)) | node2(s199, s140))),
% 5.56/5.04 inference(quant_inst,[status(thm)],[])).
% 5.56/5.04 tff(34499,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s140)) | node2(s199, s140)),
% 5.56/5.04 inference(modus_ponens,[status(thm)],[34498, 34497])).
% 5.56/5.04 tff(34500,plain,
% 5.56/5.04 (node2(s199, s140)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34499, 12398, 7])).
% 5.56/5.04 tff(34501,plain,
% 5.56/5.04 (((~![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(s140, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s140)))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34502,plain,
% 5.56/5.04 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s140)) | m_main_v_state(s140, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s140, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s140)))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34503,plain,
% 5.56/5.04 (((~![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(s199, c_ready)) | (~node2(s199, s140)) | m_main_v_state(s140, 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(s140, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s140))))),
% 5.56/5.04 inference(monotonicity,[status(thm)],[34502])).
% 5.56/5.04 tff(34504,plain,
% 5.56/5.04 (((~![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(s199, c_ready)) | (~node2(s199, s140)) | m_main_v_state(s140, 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(s140, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s140)))),
% 5.56/5.04 inference(transitivity,[status(thm)],[34503, 34501])).
% 5.56/5.04 tff(34505,plain,
% 5.56/5.04 ((~![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(s199, c_ready)) | (~node2(s199, s140)) | m_main_v_state(s140, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.04 inference(quant_inst,[status(thm)],[])).
% 5.56/5.04 tff(34506,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s140, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s140))),
% 5.56/5.04 inference(modus_ponens,[status(thm)],[34505, 34504])).
% 5.56/5.04 tff(34507,plain,
% 5.56/5.04 ($false),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34506, 166, 28054, 32885, 32872, 34500])).
% 5.56/5.04 tff(34508,plain,((~trans(s199, s140)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.04 tff(34509,plain,
% 5.56/5.04 (~trans(s199, s140)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34508, 32872])).
% 5.56/5.04 tff(34510,plain,
% 5.56/5.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s137)) | node2(s199, s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s137)) | node2(s199, s137))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34511,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s137)) | node2(s199, s137))),
% 5.56/5.04 inference(quant_inst,[status(thm)],[])).
% 5.56/5.04 tff(34512,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s137)) | node2(s199, s137)),
% 5.56/5.04 inference(modus_ponens,[status(thm)],[34511, 34510])).
% 5.56/5.04 tff(34513,plain,
% 5.56/5.04 (node2(s199, s137)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34512, 12750, 7])).
% 5.56/5.04 tff(34514,plain,
% 5.56/5.04 (((~![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(s137, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s137)))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34515,plain,
% 5.56/5.04 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s137)) | m_main_v_state(s137, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s137, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s137)))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34516,plain,
% 5.56/5.04 (((~![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(s199, c_ready)) | (~node2(s199, s137)) | m_main_v_state(s137, 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(s137, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s137))))),
% 5.56/5.04 inference(monotonicity,[status(thm)],[34515])).
% 5.56/5.04 tff(34517,plain,
% 5.56/5.04 (((~![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(s199, c_ready)) | (~node2(s199, s137)) | m_main_v_state(s137, 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(s137, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s137)))),
% 5.56/5.04 inference(transitivity,[status(thm)],[34516, 34514])).
% 5.56/5.04 tff(34518,plain,
% 5.56/5.04 ((~![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(s199, c_ready)) | (~node2(s199, s137)) | m_main_v_state(s137, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.04 inference(quant_inst,[status(thm)],[])).
% 5.56/5.04 tff(34519,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s137, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s137))),
% 5.56/5.04 inference(modus_ponens,[status(thm)],[34518, 34517])).
% 5.56/5.04 tff(34520,plain,
% 5.56/5.04 ($false),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34519, 166, 28216, 32885, 32872, 34513])).
% 5.56/5.04 tff(34521,plain,((~trans(s199, s137)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.04 tff(34522,plain,
% 5.56/5.04 (~trans(s199, s137)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34521, 32872])).
% 5.56/5.04 tff(34523,plain,
% 5.56/5.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s136)) | node2(s199, s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s136)) | node2(s199, s136))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34524,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s136)) | node2(s199, s136))),
% 5.56/5.04 inference(quant_inst,[status(thm)],[])).
% 5.56/5.04 tff(34525,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s136)) | node2(s199, s136)),
% 5.56/5.04 inference(modus_ponens,[status(thm)],[34524, 34523])).
% 5.56/5.04 tff(34526,plain,
% 5.56/5.04 (node2(s199, s136)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34525, 13223, 7])).
% 5.56/5.04 tff(34527,plain,
% 5.56/5.04 (((~![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(s136, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s136)))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34528,plain,
% 5.56/5.04 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s136)) | m_main_v_state(s136, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s136, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s136)))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34529,plain,
% 5.56/5.04 (((~![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(s199, c_ready)) | (~node2(s199, s136)) | m_main_v_state(s136, 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(s136, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s136))))),
% 5.56/5.04 inference(monotonicity,[status(thm)],[34528])).
% 5.56/5.04 tff(34530,plain,
% 5.56/5.04 (((~![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(s199, c_ready)) | (~node2(s199, s136)) | m_main_v_state(s136, 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(s136, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s136)))),
% 5.56/5.04 inference(transitivity,[status(thm)],[34529, 34527])).
% 5.56/5.04 tff(34531,plain,
% 5.56/5.04 ((~![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(s199, c_ready)) | (~node2(s199, s136)) | m_main_v_state(s136, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.04 inference(quant_inst,[status(thm)],[])).
% 5.56/5.04 tff(34532,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s136, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s136))),
% 5.56/5.04 inference(modus_ponens,[status(thm)],[34531, 34530])).
% 5.56/5.04 tff(34533,plain,
% 5.56/5.04 ($false),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34532, 166, 28239, 32885, 32872, 34526])).
% 5.56/5.04 tff(34534,plain,((~trans(s199, s136)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.04 tff(34535,plain,
% 5.56/5.04 (~trans(s199, s136)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34534, 32872])).
% 5.56/5.04 tff(34536,plain,
% 5.56/5.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s145)) | node2(s199, s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s145)) | node2(s199, s145))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34537,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s145)) | node2(s199, s145))),
% 5.56/5.04 inference(quant_inst,[status(thm)],[])).
% 5.56/5.04 tff(34538,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s145)) | node2(s199, s145)),
% 5.56/5.04 inference(modus_ponens,[status(thm)],[34537, 34536])).
% 5.56/5.04 tff(34539,plain,
% 5.56/5.04 (node2(s199, s145)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34538, 12794, 7])).
% 5.56/5.04 tff(34540,plain,
% 5.56/5.04 (~m_main_v_state(s145, c_busy)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[20984, 145, 27096])).
% 5.56/5.04 tff(34541,plain,
% 5.56/5.04 (((~![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(s145, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s145)))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34542,plain,
% 5.56/5.04 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s145)) | m_main_v_state(s145, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s145, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s145)))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34543,plain,
% 5.56/5.04 (((~![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(s199, c_ready)) | (~node2(s199, s145)) | m_main_v_state(s145, 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(s145, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s145))))),
% 5.56/5.04 inference(monotonicity,[status(thm)],[34542])).
% 5.56/5.04 tff(34544,plain,
% 5.56/5.04 (((~![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(s199, c_ready)) | (~node2(s199, s145)) | m_main_v_state(s145, 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(s145, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s145)))),
% 5.56/5.04 inference(transitivity,[status(thm)],[34543, 34541])).
% 5.56/5.04 tff(34545,plain,
% 5.56/5.04 ((~![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(s199, c_ready)) | (~node2(s199, s145)) | m_main_v_state(s145, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.04 inference(quant_inst,[status(thm)],[])).
% 5.56/5.04 tff(34546,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s145, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s145))),
% 5.56/5.04 inference(modus_ponens,[status(thm)],[34545, 34544])).
% 5.56/5.04 tff(34547,plain,
% 5.56/5.04 ($false),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34546, 166, 34540, 32885, 32872, 34539])).
% 5.56/5.04 tff(34548,plain,((~trans(s199, s145)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.04 tff(34549,plain,
% 5.56/5.04 (~trans(s199, s145)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34548, 32872])).
% 5.56/5.04 tff(34550,plain,
% 5.56/5.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s139)) | node2(s199, s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s139)) | node2(s199, s139))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34551,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s139)) | node2(s199, s139))),
% 5.56/5.04 inference(quant_inst,[status(thm)],[])).
% 5.56/5.04 tff(34552,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s139)) | node2(s199, s139)),
% 5.56/5.04 inference(modus_ponens,[status(thm)],[34551, 34550])).
% 5.56/5.04 tff(34553,plain,
% 5.56/5.04 (node2(s199, s139)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[34552, 11408, 7])).
% 5.56/5.04 tff(34554,plain,
% 5.56/5.04 (always3(s139)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[25424, 11408])).
% 5.56/5.04 tff(34555,plain,
% 5.56/5.04 (~m_main_v_state(s139, c_busy)),
% 5.56/5.04 inference(unit_resolution,[status(thm)],[20560, 145, 34554])).
% 5.56/5.04 tff(34556,plain,
% 5.56/5.04 (((~![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(s139, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s139)))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34557,plain,
% 5.56/5.04 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s139)) | m_main_v_state(s139, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s139, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s139)))),
% 5.56/5.04 inference(rewrite,[status(thm)],[])).
% 5.56/5.04 tff(34558,plain,
% 5.56/5.04 (((~![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(s199, c_ready)) | (~node2(s199, s139)) | m_main_v_state(s139, 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(s139, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s139))))),
% 5.56/5.04 inference(monotonicity,[status(thm)],[34557])).
% 5.56/5.04 tff(34559,plain,
% 5.56/5.04 (((~![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(s199, c_ready)) | (~node2(s199, s139)) | m_main_v_state(s139, 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(s139, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s139)))),
% 5.56/5.04 inference(transitivity,[status(thm)],[34558, 34556])).
% 5.56/5.04 tff(34560,plain,
% 5.56/5.04 ((~![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(s199, c_ready)) | (~node2(s199, s139)) | m_main_v_state(s139, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.04 inference(quant_inst,[status(thm)],[])).
% 5.56/5.04 tff(34561,plain,
% 5.56/5.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s139, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s139))),
% 5.56/5.04 inference(modus_ponens,[status(thm)],[34560, 34559])).
% 5.56/5.05 tff(34562,plain,
% 5.56/5.05 ($false),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34561, 166, 34555, 32885, 32872, 34553])).
% 5.56/5.05 tff(34563,plain,((~trans(s199, s139)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.05 tff(34564,plain,
% 5.56/5.05 (~trans(s199, s139)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34563, 32872])).
% 5.56/5.05 tff(34565,plain,
% 5.56/5.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s194)) | node2(s199, s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s194)) | node2(s199, s194))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34566,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s194)) | node2(s199, s194))),
% 5.56/5.05 inference(quant_inst,[status(thm)],[])).
% 5.56/5.05 tff(34567,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s194)) | node2(s199, s194)),
% 5.56/5.05 inference(modus_ponens,[status(thm)],[34566, 34565])).
% 5.56/5.05 tff(34568,plain,
% 5.56/5.05 (node2(s199, s194)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34567, 13453, 7])).
% 5.56/5.05 tff(34569,plain,
% 5.56/5.05 (always3(s194)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[33805, 13453])).
% 5.56/5.05 tff(34570,plain,
% 5.56/5.05 (~m_main_v_state(s194, c_busy)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[3441, 145, 34569])).
% 5.56/5.05 tff(34571,plain,
% 5.56/5.05 (((~![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(s194, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s194)))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34572,plain,
% 5.56/5.05 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s194)) | m_main_v_state(s194, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s194, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s194)))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34573,plain,
% 5.56/5.05 (((~![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(s199, c_ready)) | (~node2(s199, s194)) | m_main_v_state(s194, 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(s194, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s194))))),
% 5.56/5.05 inference(monotonicity,[status(thm)],[34572])).
% 5.56/5.05 tff(34574,plain,
% 5.56/5.05 (((~![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(s199, c_ready)) | (~node2(s199, s194)) | m_main_v_state(s194, 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(s194, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s194)))),
% 5.56/5.05 inference(transitivity,[status(thm)],[34573, 34571])).
% 5.56/5.05 tff(34575,plain,
% 5.56/5.05 ((~![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(s199, c_ready)) | (~node2(s199, s194)) | m_main_v_state(s194, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.05 inference(quant_inst,[status(thm)],[])).
% 5.56/5.05 tff(34576,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s194, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s194))),
% 5.56/5.05 inference(modus_ponens,[status(thm)],[34575, 34574])).
% 5.56/5.05 tff(34577,plain,
% 5.56/5.05 ($false),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34576, 166, 34570, 32885, 32872, 34568])).
% 5.56/5.05 tff(34578,plain,((~trans(s199, s194)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.05 tff(34579,plain,
% 5.56/5.05 (~trans(s199, s194)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34578, 32872])).
% 5.56/5.05 tff(34580,plain,
% 5.56/5.05 (~node2(s199, s199)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[33757, 32872])).
% 5.56/5.05 tff(34581,plain,
% 5.56/5.05 (~trans(s199, s199)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[33764, 34580])).
% 5.56/5.05 tff(34582,plain,
% 5.56/5.05 (~trans(s199, s197)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[33908, 32872])).
% 5.56/5.05 tff(34583,plain,
% 5.56/5.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s144)) | node2(s199, s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s144)) | node2(s199, s144))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34584,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s144)) | node2(s199, s144))),
% 5.56/5.05 inference(quant_inst,[status(thm)],[])).
% 5.56/5.05 tff(34585,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s144)) | node2(s199, s144)),
% 5.56/5.05 inference(modus_ponens,[status(thm)],[34584, 34583])).
% 5.56/5.05 tff(34586,plain,
% 5.56/5.05 (node2(s199, s144)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34585, 12233, 7])).
% 5.56/5.05 tff(34587,plain,
% 5.56/5.05 (always3(s144)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[26028, 12233])).
% 5.56/5.05 tff(34588,plain,
% 5.56/5.05 (~m_main_v_state(s144, c_busy)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[20976, 145, 34587])).
% 5.56/5.05 tff(34589,plain,
% 5.56/5.05 (((~![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(s144, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s144)))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34590,plain,
% 5.56/5.05 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s144)) | m_main_v_state(s144, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s144, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s144)))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34591,plain,
% 5.56/5.05 (((~![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(s199, c_ready)) | (~node2(s199, s144)) | m_main_v_state(s144, 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(s144, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s144))))),
% 5.56/5.05 inference(monotonicity,[status(thm)],[34590])).
% 5.56/5.05 tff(34592,plain,
% 5.56/5.05 (((~![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(s199, c_ready)) | (~node2(s199, s144)) | m_main_v_state(s144, 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(s144, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s144)))),
% 5.56/5.05 inference(transitivity,[status(thm)],[34591, 34589])).
% 5.56/5.05 tff(34593,plain,
% 5.56/5.05 ((~![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(s199, c_ready)) | (~node2(s199, s144)) | m_main_v_state(s144, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.05 inference(quant_inst,[status(thm)],[])).
% 5.56/5.05 tff(34594,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s144, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s144))),
% 5.56/5.05 inference(modus_ponens,[status(thm)],[34593, 34592])).
% 5.56/5.05 tff(34595,plain,
% 5.56/5.05 ($false),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34594, 166, 34588, 32885, 32872, 34586])).
% 5.56/5.05 tff(34596,plain,((~trans(s199, s144)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.05 tff(34597,plain,
% 5.56/5.05 (~trans(s199, s144)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34596, 32872])).
% 5.56/5.05 tff(34598,plain,
% 5.56/5.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s142)) | node2(s199, s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s142)) | node2(s199, s142))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34599,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s142)) | node2(s199, s142))),
% 5.56/5.05 inference(quant_inst,[status(thm)],[])).
% 5.56/5.05 tff(34600,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s142)) | node2(s199, s142)),
% 5.56/5.05 inference(modus_ponens,[status(thm)],[34599, 34598])).
% 5.56/5.05 tff(34601,plain,
% 5.56/5.05 (node2(s199, s142)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34600, 11727, 7])).
% 5.56/5.05 tff(34602,plain,
% 5.56/5.05 (always3(s142)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[25445, 11727])).
% 5.56/5.05 tff(34603,plain,
% 5.56/5.05 (~m_main_v_state(s142, c_busy)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[20931, 145, 34602])).
% 5.56/5.05 tff(34604,plain,
% 5.56/5.05 (((~![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(s142, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s142)))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34605,plain,
% 5.56/5.05 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s142)) | m_main_v_state(s142, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s142, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s142)))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34606,plain,
% 5.56/5.05 (((~![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(s199, c_ready)) | (~node2(s199, s142)) | m_main_v_state(s142, 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(s142, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s142))))),
% 5.56/5.05 inference(monotonicity,[status(thm)],[34605])).
% 5.56/5.05 tff(34607,plain,
% 5.56/5.05 (((~![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(s199, c_ready)) | (~node2(s199, s142)) | m_main_v_state(s142, 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(s142, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s142)))),
% 5.56/5.05 inference(transitivity,[status(thm)],[34606, 34604])).
% 5.56/5.05 tff(34608,plain,
% 5.56/5.05 ((~![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(s199, c_ready)) | (~node2(s199, s142)) | m_main_v_state(s142, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.05 inference(quant_inst,[status(thm)],[])).
% 5.56/5.05 tff(34609,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s142, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s142))),
% 5.56/5.05 inference(modus_ponens,[status(thm)],[34608, 34607])).
% 5.56/5.05 tff(34610,plain,
% 5.56/5.05 ($false),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34609, 166, 34603, 32885, 32872, 34601])).
% 5.56/5.05 tff(34611,plain,((~trans(s199, s142)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.05 tff(34612,plain,
% 5.56/5.05 (~trans(s199, s142)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34611, 32872])).
% 5.56/5.05 tff(34613,plain,
% 5.56/5.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s141)) | node2(s199, s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s141)) | node2(s199, s141))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34614,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s141)) | node2(s199, s141))),
% 5.56/5.05 inference(quant_inst,[status(thm)],[])).
% 5.56/5.05 tff(34615,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s141)) | node2(s199, s141)),
% 5.56/5.05 inference(modus_ponens,[status(thm)],[34614, 34613])).
% 5.56/5.05 tff(34616,plain,
% 5.56/5.05 (node2(s199, s141)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34615, 13300, 7])).
% 5.56/5.05 tff(34617,plain,
% 5.56/5.05 (always3(s141)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[25507, 13300])).
% 5.56/5.05 tff(34618,plain,
% 5.56/5.05 (~m_main_v_state(s141, c_busy)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[20511, 145, 34617])).
% 5.56/5.05 tff(34619,plain,
% 5.56/5.05 (((~![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(s141, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s141)))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34620,plain,
% 5.56/5.05 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s141)) | m_main_v_state(s141, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s141, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s141)))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34621,plain,
% 5.56/5.05 (((~![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(s199, c_ready)) | (~node2(s199, s141)) | m_main_v_state(s141, 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(s141, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s141))))),
% 5.56/5.05 inference(monotonicity,[status(thm)],[34620])).
% 5.56/5.05 tff(34622,plain,
% 5.56/5.05 (((~![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(s199, c_ready)) | (~node2(s199, s141)) | m_main_v_state(s141, 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(s141, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s141)))),
% 5.56/5.05 inference(transitivity,[status(thm)],[34621, 34619])).
% 5.56/5.05 tff(34623,plain,
% 5.56/5.05 ((~![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(s199, c_ready)) | (~node2(s199, s141)) | m_main_v_state(s141, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.05 inference(quant_inst,[status(thm)],[])).
% 5.56/5.05 tff(34624,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s141, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s141))),
% 5.56/5.05 inference(modus_ponens,[status(thm)],[34623, 34622])).
% 5.56/5.05 tff(34625,plain,
% 5.56/5.05 ($false),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34624, 166, 34618, 32885, 32872, 34616])).
% 5.56/5.05 tff(34626,plain,((~trans(s199, s141)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.05 tff(34627,plain,
% 5.56/5.05 (~trans(s199, s141)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34626, 32872])).
% 5.56/5.05 tff(34628,plain,
% 5.56/5.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s147)) | node2(s199, s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s147)) | node2(s199, s147))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34629,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s147)) | node2(s199, s147))),
% 5.56/5.05 inference(quant_inst,[status(thm)],[])).
% 5.56/5.05 tff(34630,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s147)) | node2(s199, s147)),
% 5.56/5.05 inference(modus_ponens,[status(thm)],[34629, 34628])).
% 5.56/5.05 tff(34631,plain,
% 5.56/5.05 (node2(s199, s147)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34630, 11320, 7])).
% 5.56/5.05 tff(34632,plain,
% 5.56/5.05 (~m_main_v_state(s147, c_busy)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[4891, 145, 26507])).
% 5.56/5.05 tff(34633,plain,
% 5.56/5.05 (((~![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(s147, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s147)))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34634,plain,
% 5.56/5.05 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s147)) | m_main_v_state(s147, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s147, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s147)))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34635,plain,
% 5.56/5.05 (((~![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(s199, c_ready)) | (~node2(s199, s147)) | m_main_v_state(s147, 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(s147, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s147))))),
% 5.56/5.05 inference(monotonicity,[status(thm)],[34634])).
% 5.56/5.05 tff(34636,plain,
% 5.56/5.05 (((~![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(s199, c_ready)) | (~node2(s199, s147)) | m_main_v_state(s147, 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(s147, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s147)))),
% 5.56/5.05 inference(transitivity,[status(thm)],[34635, 34633])).
% 5.56/5.05 tff(34637,plain,
% 5.56/5.05 ((~![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(s199, c_ready)) | (~node2(s199, s147)) | m_main_v_state(s147, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.05 inference(quant_inst,[status(thm)],[])).
% 5.56/5.05 tff(34638,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s147, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s147))),
% 5.56/5.05 inference(modus_ponens,[status(thm)],[34637, 34636])).
% 5.56/5.05 tff(34639,plain,
% 5.56/5.05 ($false),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34638, 166, 34632, 32885, 32872, 34631])).
% 5.56/5.05 tff(34640,plain,((~trans(s199, s147)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.05 tff(34641,plain,
% 5.56/5.05 (~trans(s199, s147)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34640, 32872])).
% 5.56/5.05 tff(34642,plain,
% 5.56/5.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s166)) | node2(s199, s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s166)) | node2(s199, s166))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34643,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s166)) | node2(s199, s166))),
% 5.56/5.05 inference(quant_inst,[status(thm)],[])).
% 5.56/5.05 tff(34644,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s166)) | node2(s199, s166)),
% 5.56/5.05 inference(modus_ponens,[status(thm)],[34643, 34642])).
% 5.56/5.05 tff(34645,plain,
% 5.56/5.05 (node2(s199, s166)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34644, 13014, 7])).
% 5.56/5.05 tff(34646,plain,
% 5.56/5.05 (always3(s166)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[25764, 13014])).
% 5.56/5.05 tff(34647,plain,
% 5.56/5.05 (~m_main_v_state(s166, c_busy)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[8902, 145, 34646])).
% 5.56/5.05 tff(34648,plain,
% 5.56/5.05 (((~![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(s166, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s166)))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34649,plain,
% 5.56/5.05 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s166)) | m_main_v_state(s166, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s166, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s166)))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34650,plain,
% 5.56/5.05 (((~![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(s199, c_ready)) | (~node2(s199, s166)) | m_main_v_state(s166, 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(s166, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s166))))),
% 5.56/5.05 inference(monotonicity,[status(thm)],[34649])).
% 5.56/5.05 tff(34651,plain,
% 5.56/5.05 (((~![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(s199, c_ready)) | (~node2(s199, s166)) | m_main_v_state(s166, 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(s166, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s166)))),
% 5.56/5.05 inference(transitivity,[status(thm)],[34650, 34648])).
% 5.56/5.05 tff(34652,plain,
% 5.56/5.05 ((~![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(s199, c_ready)) | (~node2(s199, s166)) | m_main_v_state(s166, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.05 inference(quant_inst,[status(thm)],[])).
% 5.56/5.05 tff(34653,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s166, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s166))),
% 5.56/5.05 inference(modus_ponens,[status(thm)],[34652, 34651])).
% 5.56/5.05 tff(34654,plain,
% 5.56/5.05 ($false),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34653, 166, 34647, 32885, 32872, 34645])).
% 5.56/5.05 tff(34655,plain,((~trans(s199, s166)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.05 tff(34656,plain,
% 5.56/5.05 (~trans(s199, s166)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34655, 32872])).
% 5.56/5.05 tff(34657,plain,
% 5.56/5.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s170)) | node2(s199, s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s170)) | node2(s199, s170))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34658,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s170)) | node2(s199, s170))),
% 5.56/5.05 inference(quant_inst,[status(thm)],[])).
% 5.56/5.05 tff(34659,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s170)) | node2(s199, s170)),
% 5.56/5.05 inference(modus_ponens,[status(thm)],[34658, 34657])).
% 5.56/5.05 tff(34660,plain,
% 5.56/5.05 (node2(s199, s170)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34659, 12486, 7])).
% 5.56/5.05 tff(34661,plain,
% 5.56/5.05 (always3(s170)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[25930, 12486])).
% 5.56/5.05 tff(34662,plain,
% 5.56/5.05 (~m_main_v_state(s170, c_busy)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[22921, 145, 34661])).
% 5.56/5.05 tff(34663,plain,
% 5.56/5.05 (((~![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(s170, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s170)))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34664,plain,
% 5.56/5.05 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s170)) | m_main_v_state(s170, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s170, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s170)))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34665,plain,
% 5.56/5.05 (((~![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(s199, c_ready)) | (~node2(s199, s170)) | m_main_v_state(s170, 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(s170, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s170))))),
% 5.56/5.05 inference(monotonicity,[status(thm)],[34664])).
% 5.56/5.05 tff(34666,plain,
% 5.56/5.05 (((~![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(s199, c_ready)) | (~node2(s199, s170)) | m_main_v_state(s170, 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(s170, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s170)))),
% 5.56/5.05 inference(transitivity,[status(thm)],[34665, 34663])).
% 5.56/5.05 tff(34667,plain,
% 5.56/5.05 ((~![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(s199, c_ready)) | (~node2(s199, s170)) | m_main_v_state(s170, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.05 inference(quant_inst,[status(thm)],[])).
% 5.56/5.05 tff(34668,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s170, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s170))),
% 5.56/5.05 inference(modus_ponens,[status(thm)],[34667, 34666])).
% 5.56/5.05 tff(34669,plain,
% 5.56/5.05 ($false),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34668, 166, 34662, 32885, 32872, 34660])).
% 5.56/5.05 tff(34670,plain,((~trans(s199, s170)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.05 tff(34671,plain,
% 5.56/5.05 (~trans(s199, s170)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34670, 32872])).
% 5.56/5.05 tff(34672,plain,
% 5.56/5.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s174)) | node2(s199, s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s174)) | node2(s199, s174))),
% 5.56/5.05 inference(rewrite,[status(thm)],[])).
% 5.56/5.05 tff(34673,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s174)) | node2(s199, s174))),
% 5.56/5.05 inference(quant_inst,[status(thm)],[])).
% 5.56/5.05 tff(34674,plain,
% 5.56/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s174)) | node2(s199, s174)),
% 5.56/5.05 inference(modus_ponens,[status(thm)],[34673, 34672])).
% 5.56/5.05 tff(34675,plain,
% 5.56/5.05 (node2(s199, s174)),
% 5.56/5.05 inference(unit_resolution,[status(thm)],[34674, 11716, 7])).
% 5.56/5.05 tff(34676,plain,
% 5.56/5.05 (always3(s174)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[25855, 11716])).
% 5.56/5.06 tff(34677,plain,
% 5.56/5.06 (~m_main_v_state(s174, c_busy)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[22810, 145, 34676])).
% 5.56/5.06 tff(34678,plain,
% 5.56/5.06 (((~![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(s174, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s174)))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34679,plain,
% 5.56/5.06 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s174)) | m_main_v_state(s174, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s174, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s174)))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34680,plain,
% 5.56/5.06 (((~![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(s199, c_ready)) | (~node2(s199, s174)) | m_main_v_state(s174, 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(s174, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s174))))),
% 5.56/5.06 inference(monotonicity,[status(thm)],[34679])).
% 5.56/5.06 tff(34681,plain,
% 5.56/5.06 (((~![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(s199, c_ready)) | (~node2(s199, s174)) | m_main_v_state(s174, 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(s174, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s174)))),
% 5.56/5.06 inference(transitivity,[status(thm)],[34680, 34678])).
% 5.56/5.06 tff(34682,plain,
% 5.56/5.06 ((~![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(s199, c_ready)) | (~node2(s199, s174)) | m_main_v_state(s174, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.06 inference(quant_inst,[status(thm)],[])).
% 5.56/5.06 tff(34683,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s174, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s174))),
% 5.56/5.06 inference(modus_ponens,[status(thm)],[34682, 34681])).
% 5.56/5.06 tff(34684,plain,
% 5.56/5.06 ($false),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34683, 166, 34677, 32885, 32872, 34675])).
% 5.56/5.06 tff(34685,plain,((~trans(s199, s174)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.06 tff(34686,plain,
% 5.56/5.06 (~trans(s199, s174)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34685, 32872])).
% 5.56/5.06 tff(34687,plain,
% 5.56/5.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s172)) | node2(s199, s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s172)) | node2(s199, s172))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34688,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s172)) | node2(s199, s172))),
% 5.56/5.06 inference(quant_inst,[status(thm)],[])).
% 5.56/5.06 tff(34689,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s172)) | node2(s199, s172)),
% 5.56/5.06 inference(modus_ponens,[status(thm)],[34688, 34687])).
% 5.56/5.06 tff(34690,plain,
% 5.56/5.06 (node2(s199, s172)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34689, 12717, 7])).
% 5.56/5.06 tff(34691,plain,
% 5.56/5.06 (always3(s172)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[25943, 12717])).
% 5.56/5.06 tff(34692,plain,
% 5.56/5.06 (~m_main_v_state(s172, c_busy)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[22880, 145, 34691])).
% 5.56/5.06 tff(34693,plain,
% 5.56/5.06 (((~![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(s172, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s172)))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34694,plain,
% 5.56/5.06 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s172)) | m_main_v_state(s172, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s172, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s172)))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34695,plain,
% 5.56/5.06 (((~![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(s199, c_ready)) | (~node2(s199, s172)) | m_main_v_state(s172, 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(s172, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s172))))),
% 5.56/5.06 inference(monotonicity,[status(thm)],[34694])).
% 5.56/5.06 tff(34696,plain,
% 5.56/5.06 (((~![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(s199, c_ready)) | (~node2(s199, s172)) | m_main_v_state(s172, 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(s172, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s172)))),
% 5.56/5.06 inference(transitivity,[status(thm)],[34695, 34693])).
% 5.56/5.06 tff(34697,plain,
% 5.56/5.06 ((~![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(s199, c_ready)) | (~node2(s199, s172)) | m_main_v_state(s172, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.06 inference(quant_inst,[status(thm)],[])).
% 5.56/5.06 tff(34698,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s172, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s172))),
% 5.56/5.06 inference(modus_ponens,[status(thm)],[34697, 34696])).
% 5.56/5.06 tff(34699,plain,
% 5.56/5.06 ($false),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34698, 166, 34692, 32885, 32872, 34690])).
% 5.56/5.06 tff(34700,plain,((~trans(s199, s172)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.06 tff(34701,plain,
% 5.56/5.06 (~trans(s199, s172)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34700, 32872])).
% 5.56/5.06 tff(34702,plain,
% 5.56/5.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s169)) | node2(s199, s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s169)) | node2(s199, s169))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34703,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s169)) | node2(s199, s169))),
% 5.56/5.06 inference(quant_inst,[status(thm)],[])).
% 5.56/5.06 tff(34704,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s169)) | node2(s199, s169)),
% 5.56/5.06 inference(modus_ponens,[status(thm)],[34703, 34702])).
% 5.56/5.06 tff(34705,plain,
% 5.56/5.06 (node2(s199, s169)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34704, 12838, 7])).
% 5.56/5.06 tff(34706,plain,
% 5.56/5.06 (always3(s169)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[25965, 12838])).
% 5.56/5.06 tff(34707,plain,
% 5.56/5.06 (~m_main_v_state(s169, c_busy)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[8828, 145, 34706])).
% 5.56/5.06 tff(34708,plain,
% 5.56/5.06 (((~![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(s169, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s169)))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34709,plain,
% 5.56/5.06 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s169)) | m_main_v_state(s169, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s169, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s169)))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34710,plain,
% 5.56/5.06 (((~![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(s199, c_ready)) | (~node2(s199, s169)) | m_main_v_state(s169, 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(s169, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s169))))),
% 5.56/5.06 inference(monotonicity,[status(thm)],[34709])).
% 5.56/5.06 tff(34711,plain,
% 5.56/5.06 (((~![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(s199, c_ready)) | (~node2(s199, s169)) | m_main_v_state(s169, 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(s169, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s169)))),
% 5.56/5.06 inference(transitivity,[status(thm)],[34710, 34708])).
% 5.56/5.06 tff(34712,plain,
% 5.56/5.06 ((~![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(s199, c_ready)) | (~node2(s199, s169)) | m_main_v_state(s169, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.06 inference(quant_inst,[status(thm)],[])).
% 5.56/5.06 tff(34713,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s169, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s169))),
% 5.56/5.06 inference(modus_ponens,[status(thm)],[34712, 34711])).
% 5.56/5.06 tff(34714,plain,
% 5.56/5.06 ($false),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34713, 166, 34707, 32885, 32872, 34705])).
% 5.56/5.06 tff(34715,plain,((~trans(s199, s169)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.06 tff(34716,plain,
% 5.56/5.06 (~trans(s199, s169)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34715, 32872])).
% 5.56/5.06 tff(34717,plain,
% 5.56/5.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s178)) | node2(s199, s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s178)) | node2(s199, s178))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34718,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s178)) | node2(s199, s178))),
% 5.56/5.06 inference(quant_inst,[status(thm)],[])).
% 5.56/5.06 tff(34719,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s178)) | node2(s199, s178)),
% 5.56/5.06 inference(modus_ponens,[status(thm)],[34718, 34717])).
% 5.56/5.06 tff(34720,plain,
% 5.56/5.06 (node2(s199, s178)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34719, 11353, 7])).
% 5.56/5.06 tff(34721,plain,
% 5.56/5.06 (~m_main_v_state(s178, c_busy)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[8667, 145, 26145])).
% 5.56/5.06 tff(34722,plain,
% 5.56/5.06 (((~![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(s178, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s178)))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34723,plain,
% 5.56/5.06 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s178)) | m_main_v_state(s178, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s178, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s178)))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34724,plain,
% 5.56/5.06 (((~![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(s199, c_ready)) | (~node2(s199, s178)) | m_main_v_state(s178, 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(s178, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s178))))),
% 5.56/5.06 inference(monotonicity,[status(thm)],[34723])).
% 5.56/5.06 tff(34725,plain,
% 5.56/5.06 (((~![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(s199, c_ready)) | (~node2(s199, s178)) | m_main_v_state(s178, 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(s178, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s178)))),
% 5.56/5.06 inference(transitivity,[status(thm)],[34724, 34722])).
% 5.56/5.06 tff(34726,plain,
% 5.56/5.06 ((~![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(s199, c_ready)) | (~node2(s199, s178)) | m_main_v_state(s178, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.06 inference(quant_inst,[status(thm)],[])).
% 5.56/5.06 tff(34727,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s178, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s178))),
% 5.56/5.06 inference(modus_ponens,[status(thm)],[34726, 34725])).
% 5.56/5.06 tff(34728,plain,
% 5.56/5.06 ($false),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34727, 166, 34721, 32885, 32872, 34720])).
% 5.56/5.06 tff(34729,plain,((~trans(s199, s178)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.06 tff(34730,plain,
% 5.56/5.06 (~trans(s199, s178)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34729, 32872])).
% 5.56/5.06 tff(34731,plain,
% 5.56/5.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s177)) | node2(s199, s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s177)) | node2(s199, s177))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34732,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s177)) | node2(s199, s177))),
% 5.56/5.06 inference(quant_inst,[status(thm)],[])).
% 5.56/5.06 tff(34733,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s177)) | node2(s199, s177)),
% 5.56/5.06 inference(modus_ponens,[status(thm)],[34732, 34731])).
% 5.56/5.06 tff(34734,plain,
% 5.56/5.06 (node2(s199, s177)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34733, 11782, 7])).
% 5.56/5.06 tff(34735,plain,
% 5.56/5.06 (always3(s177)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[25878, 11782])).
% 5.56/5.06 tff(34736,plain,
% 5.56/5.06 (~m_main_v_state(s177, c_busy)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[8706, 145, 34735])).
% 5.56/5.06 tff(34737,plain,
% 5.56/5.06 (((~![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(s177, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s177)))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34738,plain,
% 5.56/5.06 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s177)) | m_main_v_state(s177, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s177, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s177)))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34739,plain,
% 5.56/5.06 (((~![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(s199, c_ready)) | (~node2(s199, s177)) | m_main_v_state(s177, 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(s177, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s177))))),
% 5.56/5.06 inference(monotonicity,[status(thm)],[34738])).
% 5.56/5.06 tff(34740,plain,
% 5.56/5.06 (((~![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(s199, c_ready)) | (~node2(s199, s177)) | m_main_v_state(s177, 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(s177, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s177)))),
% 5.56/5.06 inference(transitivity,[status(thm)],[34739, 34737])).
% 5.56/5.06 tff(34741,plain,
% 5.56/5.06 ((~![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(s199, c_ready)) | (~node2(s199, s177)) | m_main_v_state(s177, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.06 inference(quant_inst,[status(thm)],[])).
% 5.56/5.06 tff(34742,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s177, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s177))),
% 5.56/5.06 inference(modus_ponens,[status(thm)],[34741, 34740])).
% 5.56/5.06 tff(34743,plain,
% 5.56/5.06 ($false),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34742, 166, 34736, 32885, 32872, 34734])).
% 5.56/5.06 tff(34744,plain,((~trans(s199, s177)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.06 tff(34745,plain,
% 5.56/5.06 (~trans(s199, s177)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34744, 32872])).
% 5.56/5.06 tff(34746,plain,
% 5.56/5.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s180)) | node2(s199, s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s180)) | node2(s199, s180))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34747,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s180)) | node2(s199, s180))),
% 5.56/5.06 inference(quant_inst,[status(thm)],[])).
% 5.56/5.06 tff(34748,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s180)) | node2(s199, s180)),
% 5.56/5.06 inference(modus_ponens,[status(thm)],[34747, 34746])).
% 5.56/5.06 tff(34749,plain,
% 5.56/5.06 (node2(s199, s180)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34748, 11804, 7])).
% 5.56/5.06 tff(34750,plain,
% 5.56/5.06 (always3(s180)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[25898, 11804])).
% 5.56/5.06 tff(34751,plain,
% 5.56/5.06 (~m_main_v_state(s180, c_busy)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[23086, 145, 34750])).
% 5.56/5.06 tff(34752,plain,
% 5.56/5.06 (((~![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(s180, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s180)))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34753,plain,
% 5.56/5.06 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s180)) | m_main_v_state(s180, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s180, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s180)))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34754,plain,
% 5.56/5.06 (((~![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(s199, c_ready)) | (~node2(s199, s180)) | m_main_v_state(s180, 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(s180, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s180))))),
% 5.56/5.06 inference(monotonicity,[status(thm)],[34753])).
% 5.56/5.06 tff(34755,plain,
% 5.56/5.06 (((~![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(s199, c_ready)) | (~node2(s199, s180)) | m_main_v_state(s180, 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(s180, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s180)))),
% 5.56/5.06 inference(transitivity,[status(thm)],[34754, 34752])).
% 5.56/5.06 tff(34756,plain,
% 5.56/5.06 ((~![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(s199, c_ready)) | (~node2(s199, s180)) | m_main_v_state(s180, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.06 inference(quant_inst,[status(thm)],[])).
% 5.56/5.06 tff(34757,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s180, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s180))),
% 5.56/5.06 inference(modus_ponens,[status(thm)],[34756, 34755])).
% 5.56/5.06 tff(34758,plain,
% 5.56/5.06 ($false),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34757, 166, 34751, 32885, 32872, 34749])).
% 5.56/5.06 tff(34759,plain,((~trans(s199, s180)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.06 tff(34760,plain,
% 5.56/5.06 (~trans(s199, s180)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34759, 32872])).
% 5.56/5.06 tff(34761,plain,
% 5.56/5.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s183)) | node2(s199, s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s183)) | node2(s199, s183))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34762,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s183)) | node2(s199, s183))),
% 5.56/5.06 inference(quant_inst,[status(thm)],[])).
% 5.56/5.06 tff(34763,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s183)) | node2(s199, s183)),
% 5.56/5.06 inference(modus_ponens,[status(thm)],[34762, 34761])).
% 5.56/5.06 tff(34764,plain,
% 5.56/5.06 (node2(s199, s183)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34763, 11397, 7])).
% 5.56/5.06 tff(34765,plain,
% 5.56/5.06 (always3(s183)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[25826, 11397])).
% 5.56/5.06 tff(34766,plain,
% 5.56/5.06 (~m_main_v_state(s183, c_busy)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[8143, 145, 34765])).
% 5.56/5.06 tff(34767,plain,
% 5.56/5.06 (((~![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(s183, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s183)))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34768,plain,
% 5.56/5.06 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s183)) | m_main_v_state(s183, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s183, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s183)))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34769,plain,
% 5.56/5.06 (((~![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(s199, c_ready)) | (~node2(s199, s183)) | m_main_v_state(s183, 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(s183, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s183))))),
% 5.56/5.06 inference(monotonicity,[status(thm)],[34768])).
% 5.56/5.06 tff(34770,plain,
% 5.56/5.06 (((~![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(s199, c_ready)) | (~node2(s199, s183)) | m_main_v_state(s183, 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(s183, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s183)))),
% 5.56/5.06 inference(transitivity,[status(thm)],[34769, 34767])).
% 5.56/5.06 tff(34771,plain,
% 5.56/5.06 ((~![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(s199, c_ready)) | (~node2(s199, s183)) | m_main_v_state(s183, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.06 inference(quant_inst,[status(thm)],[])).
% 5.56/5.06 tff(34772,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s183, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s183))),
% 5.56/5.06 inference(modus_ponens,[status(thm)],[34771, 34770])).
% 5.56/5.06 tff(34773,plain,
% 5.56/5.06 ($false),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34772, 166, 34766, 32885, 32872, 34764])).
% 5.56/5.06 tff(34774,plain,((~trans(s199, s183)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.06 tff(34775,plain,
% 5.56/5.06 (~trans(s199, s183)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34774, 32872])).
% 5.56/5.06 tff(34776,plain,
% 5.56/5.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s188)) | node2(s199, s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s188)) | node2(s199, s188))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34777,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s188)) | node2(s199, s188))),
% 5.56/5.06 inference(quant_inst,[status(thm)],[])).
% 5.56/5.06 tff(34778,plain,
% 5.56/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s188)) | node2(s199, s188)),
% 5.56/5.06 inference(modus_ponens,[status(thm)],[34777, 34776])).
% 5.56/5.06 tff(34779,plain,
% 5.56/5.06 (node2(s199, s188)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[34778, 12178, 7])).
% 5.56/5.06 tff(34780,plain,
% 5.56/5.06 (always3(s188)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[33356, 12178])).
% 5.56/5.06 tff(34781,plain,
% 5.56/5.06 (~m_main_v_state(s188, c_busy)),
% 5.56/5.06 inference(unit_resolution,[status(thm)],[3783, 145, 34780])).
% 5.56/5.06 tff(34782,plain,
% 5.56/5.06 (((~![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(s188, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s188)))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34783,plain,
% 5.56/5.06 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s188)) | m_main_v_state(s188, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s188, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s188)))),
% 5.56/5.06 inference(rewrite,[status(thm)],[])).
% 5.56/5.06 tff(34784,plain,
% 5.56/5.06 (((~![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(s199, c_ready)) | (~node2(s199, s188)) | m_main_v_state(s188, 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(s188, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s188))))),
% 5.56/5.07 inference(monotonicity,[status(thm)],[34783])).
% 5.56/5.07 tff(34785,plain,
% 5.56/5.07 (((~![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(s199, c_ready)) | (~node2(s199, s188)) | m_main_v_state(s188, 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(s188, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s188)))),
% 5.56/5.07 inference(transitivity,[status(thm)],[34784, 34782])).
% 5.56/5.07 tff(34786,plain,
% 5.56/5.07 ((~![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(s199, c_ready)) | (~node2(s199, s188)) | m_main_v_state(s188, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.07 inference(quant_inst,[status(thm)],[])).
% 5.56/5.07 tff(34787,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s188, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s188))),
% 5.56/5.07 inference(modus_ponens,[status(thm)],[34786, 34785])).
% 5.56/5.07 tff(34788,plain,
% 5.56/5.07 ($false),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34787, 166, 34781, 32885, 32872, 34779])).
% 5.56/5.07 tff(34789,plain,((~trans(s199, s188)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.07 tff(34790,plain,
% 5.56/5.07 (~trans(s199, s188)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34789, 32872])).
% 5.56/5.07 tff(34791,plain,
% 5.56/5.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s186)) | node2(s199, s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s186)) | node2(s199, s186))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34792,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s186)) | node2(s199, s186))),
% 5.56/5.07 inference(quant_inst,[status(thm)],[])).
% 5.56/5.07 tff(34793,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s186)) | node2(s199, s186)),
% 5.56/5.07 inference(modus_ponens,[status(thm)],[34792, 34791])).
% 5.56/5.07 tff(34794,plain,
% 5.56/5.07 (node2(s199, s186)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34793, 12464, 7])).
% 5.56/5.07 tff(34795,plain,
% 5.56/5.07 (always3(s186)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[33500, 12464])).
% 5.56/5.07 tff(34796,plain,
% 5.56/5.07 (~m_main_v_state(s186, c_busy)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[8514, 145, 34795])).
% 5.56/5.07 tff(34797,plain,
% 5.56/5.07 (((~![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(s186, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s186)))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34798,plain,
% 5.56/5.07 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s186)) | m_main_v_state(s186, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s186, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s186)))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34799,plain,
% 5.56/5.07 (((~![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(s199, c_ready)) | (~node2(s199, s186)) | m_main_v_state(s186, 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(s186, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s186))))),
% 5.56/5.07 inference(monotonicity,[status(thm)],[34798])).
% 5.56/5.07 tff(34800,plain,
% 5.56/5.07 (((~![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(s199, c_ready)) | (~node2(s199, s186)) | m_main_v_state(s186, 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(s186, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s186)))),
% 5.56/5.07 inference(transitivity,[status(thm)],[34799, 34797])).
% 5.56/5.07 tff(34801,plain,
% 5.56/5.07 ((~![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(s199, c_ready)) | (~node2(s199, s186)) | m_main_v_state(s186, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.07 inference(quant_inst,[status(thm)],[])).
% 5.56/5.07 tff(34802,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s186, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s186))),
% 5.56/5.07 inference(modus_ponens,[status(thm)],[34801, 34800])).
% 5.56/5.07 tff(34803,plain,
% 5.56/5.07 ($false),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34802, 166, 34796, 32885, 32872, 34794])).
% 5.56/5.07 tff(34804,plain,((~trans(s199, s186)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.07 tff(34805,plain,
% 5.56/5.07 (~trans(s199, s186)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34804, 32872])).
% 5.56/5.07 tff(34806,plain,
% 5.56/5.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s187)) | node2(s199, s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s187)) | node2(s199, s187))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34807,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s187)) | node2(s199, s187))),
% 5.56/5.07 inference(quant_inst,[status(thm)],[])).
% 5.56/5.07 tff(34808,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s187)) | node2(s199, s187)),
% 5.56/5.07 inference(modus_ponens,[status(thm)],[34807, 34806])).
% 5.56/5.07 tff(34809,plain,
% 5.56/5.07 (node2(s199, s187)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34808, 11749, 7])).
% 5.56/5.07 tff(34810,plain,
% 5.56/5.07 (always3(s187)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[33460, 11749])).
% 5.56/5.07 tff(34811,plain,
% 5.56/5.07 (~m_main_v_state(s187, c_busy)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[8498, 145, 34810])).
% 5.56/5.07 tff(34812,plain,
% 5.56/5.07 (((~![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(s187, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s187)))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34813,plain,
% 5.56/5.07 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s187)) | m_main_v_state(s187, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s187, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s187)))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34814,plain,
% 5.56/5.07 (((~![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(s199, c_ready)) | (~node2(s199, s187)) | m_main_v_state(s187, 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(s187, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s187))))),
% 5.56/5.07 inference(monotonicity,[status(thm)],[34813])).
% 5.56/5.07 tff(34815,plain,
% 5.56/5.07 (((~![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(s199, c_ready)) | (~node2(s199, s187)) | m_main_v_state(s187, 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(s187, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s187)))),
% 5.56/5.07 inference(transitivity,[status(thm)],[34814, 34812])).
% 5.56/5.07 tff(34816,plain,
% 5.56/5.07 ((~![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(s199, c_ready)) | (~node2(s199, s187)) | m_main_v_state(s187, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.07 inference(quant_inst,[status(thm)],[])).
% 5.56/5.07 tff(34817,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s187, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s187))),
% 5.56/5.07 inference(modus_ponens,[status(thm)],[34816, 34815])).
% 5.56/5.07 tff(34818,plain,
% 5.56/5.07 ($false),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34817, 166, 34811, 32885, 32872, 34809])).
% 5.56/5.07 tff(34819,plain,((~trans(s199, s187)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.07 tff(34820,plain,
% 5.56/5.07 (~trans(s199, s187)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34819, 32872])).
% 5.56/5.07 tff(34821,plain,
% 5.56/5.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s182)) | node2(s199, s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s182)) | node2(s199, s182))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34822,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s182)) | node2(s199, s182))),
% 5.56/5.07 inference(quant_inst,[status(thm)],[])).
% 5.56/5.07 tff(34823,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s182)) | node2(s199, s182)),
% 5.56/5.07 inference(modus_ponens,[status(thm)],[34822, 34821])).
% 5.56/5.07 tff(34824,plain,
% 5.56/5.07 (node2(s199, s182)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34823, 11386, 7])).
% 5.56/5.07 tff(34825,plain,
% 5.56/5.07 (always3(s182)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[25816, 11386])).
% 5.56/5.07 tff(34826,plain,
% 5.56/5.07 (~m_main_v_state(s182, c_busy)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[8159, 145, 34825])).
% 5.56/5.07 tff(34827,plain,
% 5.56/5.07 (((~![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(s182, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s182)))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34828,plain,
% 5.56/5.07 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s182)) | m_main_v_state(s182, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s182, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s182)))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34829,plain,
% 5.56/5.07 (((~![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(s199, c_ready)) | (~node2(s199, s182)) | m_main_v_state(s182, 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(s182, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s182))))),
% 5.56/5.07 inference(monotonicity,[status(thm)],[34828])).
% 5.56/5.07 tff(34830,plain,
% 5.56/5.07 (((~![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(s199, c_ready)) | (~node2(s199, s182)) | m_main_v_state(s182, 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(s182, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s182)))),
% 5.56/5.07 inference(transitivity,[status(thm)],[34829, 34827])).
% 5.56/5.07 tff(34831,plain,
% 5.56/5.07 ((~![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(s199, c_ready)) | (~node2(s199, s182)) | m_main_v_state(s182, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.07 inference(quant_inst,[status(thm)],[])).
% 5.56/5.07 tff(34832,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s182, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s182))),
% 5.56/5.07 inference(modus_ponens,[status(thm)],[34831, 34830])).
% 5.56/5.07 tff(34833,plain,
% 5.56/5.07 ($false),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34832, 166, 34826, 32885, 32872, 34824])).
% 5.56/5.07 tff(34834,plain,((~trans(s199, s182)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.07 tff(34835,plain,
% 5.56/5.07 (~trans(s199, s182)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34834, 32872])).
% 5.56/5.07 tff(34836,plain,
% 5.56/5.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s176)) | node2(s199, s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s176)) | node2(s199, s176))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34837,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s176)) | node2(s199, s176))),
% 5.56/5.07 inference(quant_inst,[status(thm)],[])).
% 5.56/5.07 tff(34838,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s176)) | node2(s199, s176)),
% 5.56/5.07 inference(modus_ponens,[status(thm)],[34837, 34836])).
% 5.56/5.07 tff(34839,plain,
% 5.56/5.07 (node2(s199, s176)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34838, 12915, 7])).
% 5.56/5.07 tff(34840,plain,
% 5.56/5.07 (always3(s176)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[25975, 12915])).
% 5.56/5.07 tff(34841,plain,
% 5.56/5.07 (~m_main_v_state(s176, c_busy)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[23111, 145, 34840])).
% 5.56/5.07 tff(34842,plain,
% 5.56/5.07 (((~![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(s176, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s176)))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34843,plain,
% 5.56/5.07 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s176)) | m_main_v_state(s176, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s176, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s176)))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34844,plain,
% 5.56/5.07 (((~![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(s199, c_ready)) | (~node2(s199, s176)) | m_main_v_state(s176, 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(s176, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s176))))),
% 5.56/5.07 inference(monotonicity,[status(thm)],[34843])).
% 5.56/5.07 tff(34845,plain,
% 5.56/5.07 (((~![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(s199, c_ready)) | (~node2(s199, s176)) | m_main_v_state(s176, 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(s176, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s176)))),
% 5.56/5.07 inference(transitivity,[status(thm)],[34844, 34842])).
% 5.56/5.07 tff(34846,plain,
% 5.56/5.07 ((~![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(s199, c_ready)) | (~node2(s199, s176)) | m_main_v_state(s176, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.07 inference(quant_inst,[status(thm)],[])).
% 5.56/5.07 tff(34847,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s176, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s176))),
% 5.56/5.07 inference(modus_ponens,[status(thm)],[34846, 34845])).
% 5.56/5.07 tff(34848,plain,
% 5.56/5.07 ($false),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34847, 166, 34841, 32885, 32872, 34839])).
% 5.56/5.07 tff(34849,plain,((~trans(s199, s176)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.07 tff(34850,plain,
% 5.56/5.07 (~trans(s199, s176)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34849, 32872])).
% 5.56/5.07 tff(34851,plain,
% 5.56/5.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s168)) | node2(s199, s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s168)) | node2(s199, s168))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34852,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s168)) | node2(s199, s168))),
% 5.56/5.07 inference(quant_inst,[status(thm)],[])).
% 5.56/5.07 tff(34853,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s168)) | node2(s199, s168)),
% 5.56/5.07 inference(modus_ponens,[status(thm)],[34852, 34851])).
% 5.56/5.07 tff(34854,plain,
% 5.56/5.07 (node2(s199, s168)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34853, 13080, 7])).
% 5.56/5.07 tff(34855,plain,
% 5.56/5.07 (always3(s168)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[25805, 13080])).
% 5.56/5.07 tff(34856,plain,
% 5.56/5.07 (~m_main_v_state(s168, c_busy)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[8844, 145, 34855])).
% 5.56/5.07 tff(34857,plain,
% 5.56/5.07 (((~![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(s168, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s168)))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34858,plain,
% 5.56/5.07 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s168)) | m_main_v_state(s168, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s168, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s168)))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34859,plain,
% 5.56/5.07 (((~![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(s199, c_ready)) | (~node2(s199, s168)) | m_main_v_state(s168, 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(s168, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s168))))),
% 5.56/5.07 inference(monotonicity,[status(thm)],[34858])).
% 5.56/5.07 tff(34860,plain,
% 5.56/5.07 (((~![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(s199, c_ready)) | (~node2(s199, s168)) | m_main_v_state(s168, 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(s168, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s168)))),
% 5.56/5.07 inference(transitivity,[status(thm)],[34859, 34857])).
% 5.56/5.07 tff(34861,plain,
% 5.56/5.07 ((~![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(s199, c_ready)) | (~node2(s199, s168)) | m_main_v_state(s168, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.07 inference(quant_inst,[status(thm)],[])).
% 5.56/5.07 tff(34862,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s168, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s168))),
% 5.56/5.07 inference(modus_ponens,[status(thm)],[34861, 34860])).
% 5.56/5.07 tff(34863,plain,
% 5.56/5.07 ($false),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34862, 166, 34856, 32885, 32872, 34854])).
% 5.56/5.07 tff(34864,plain,((~trans(s199, s168)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.07 tff(34865,plain,
% 5.56/5.07 (~trans(s199, s168)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34864, 32872])).
% 5.56/5.07 tff(34866,plain,
% 5.56/5.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s190)) | node2(s199, s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s190)) | node2(s199, s190))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34867,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s190)) | node2(s199, s190))),
% 5.56/5.07 inference(quant_inst,[status(thm)],[])).
% 5.56/5.07 tff(34868,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s190)) | node2(s199, s190)),
% 5.56/5.07 inference(modus_ponens,[status(thm)],[34867, 34866])).
% 5.56/5.07 tff(34869,plain,
% 5.56/5.07 (node2(s199, s190)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34868, 11375, 7])).
% 5.56/5.07 tff(34870,plain,
% 5.56/5.07 (always3(s190)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[33388, 11375])).
% 5.56/5.07 tff(34871,plain,
% 5.56/5.07 (~m_main_v_state(s190, c_busy)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[3709, 145, 34870])).
% 5.56/5.07 tff(34872,plain,
% 5.56/5.07 (((~![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(s190, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s190)))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34873,plain,
% 5.56/5.07 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s190)) | m_main_v_state(s190, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s190, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s190)))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34874,plain,
% 5.56/5.07 (((~![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(s199, c_ready)) | (~node2(s199, s190)) | m_main_v_state(s190, 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(s190, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s190))))),
% 5.56/5.07 inference(monotonicity,[status(thm)],[34873])).
% 5.56/5.07 tff(34875,plain,
% 5.56/5.07 (((~![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(s199, c_ready)) | (~node2(s199, s190)) | m_main_v_state(s190, 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(s190, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s190)))),
% 5.56/5.07 inference(transitivity,[status(thm)],[34874, 34872])).
% 5.56/5.07 tff(34876,plain,
% 5.56/5.07 ((~![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(s199, c_ready)) | (~node2(s199, s190)) | m_main_v_state(s190, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.07 inference(quant_inst,[status(thm)],[])).
% 5.56/5.07 tff(34877,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s190, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s190))),
% 5.56/5.07 inference(modus_ponens,[status(thm)],[34876, 34875])).
% 5.56/5.07 tff(34878,plain,
% 5.56/5.07 ($false),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34877, 166, 34871, 32885, 32872, 34869])).
% 5.56/5.07 tff(34879,plain,((~trans(s199, s190)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.07 tff(34880,plain,
% 5.56/5.07 (~trans(s199, s190)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34879, 32872])).
% 5.56/5.07 tff(34881,plain,
% 5.56/5.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s184)) | node2(s199, s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s184)) | node2(s199, s184))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34882,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s184)) | node2(s199, s184))),
% 5.56/5.07 inference(quant_inst,[status(thm)],[])).
% 5.56/5.07 tff(34883,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s184)) | node2(s199, s184)),
% 5.56/5.07 inference(modus_ponens,[status(thm)],[34882, 34881])).
% 5.56/5.07 tff(34884,plain,
% 5.56/5.07 (node2(s199, s184)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[34883, 13670, 7])).
% 5.56/5.07 tff(34885,plain,
% 5.56/5.07 (always3(s184)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[33535, 13670])).
% 5.56/5.07 tff(34886,plain,
% 5.56/5.07 (~m_main_v_state(s184, c_busy)),
% 5.56/5.07 inference(unit_resolution,[status(thm)],[8570, 145, 34885])).
% 5.56/5.07 tff(34887,plain,
% 5.56/5.07 (((~![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(s184, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s184)))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34888,plain,
% 5.56/5.07 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s184)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s184, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s184)))),
% 5.56/5.07 inference(rewrite,[status(thm)],[])).
% 5.56/5.07 tff(34889,plain,
% 5.56/5.07 (((~![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(s199, c_ready)) | (~node2(s199, s184)) | m_main_v_state(s184, 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(s184, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s184))))),
% 5.56/5.07 inference(monotonicity,[status(thm)],[34888])).
% 5.56/5.07 tff(34890,plain,
% 5.56/5.07 (((~![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(s199, c_ready)) | (~node2(s199, s184)) | m_main_v_state(s184, 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(s184, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s184)))),
% 5.56/5.07 inference(transitivity,[status(thm)],[34889, 34887])).
% 5.56/5.07 tff(34891,plain,
% 5.56/5.07 ((~![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(s199, c_ready)) | (~node2(s199, s184)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.07 inference(quant_inst,[status(thm)],[])).
% 5.56/5.07 tff(34892,plain,
% 5.56/5.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s184, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s184))),
% 5.56/5.07 inference(modus_ponens,[status(thm)],[34891, 34890])).
% 5.56/5.08 tff(34893,plain,
% 5.56/5.08 ($false),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[34892, 166, 34886, 32885, 32872, 34884])).
% 5.56/5.08 tff(34894,plain,((~trans(s199, s184)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.08 tff(34895,plain,
% 5.56/5.08 (~trans(s199, s184)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[34894, 32872])).
% 5.56/5.08 tff(34896,plain,
% 5.56/5.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s185)) | node2(s199, s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s185)) | node2(s199, s185))),
% 5.56/5.08 inference(rewrite,[status(thm)],[])).
% 5.56/5.08 tff(34897,plain,
% 5.56/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s185)) | node2(s199, s185))),
% 5.56/5.08 inference(quant_inst,[status(thm)],[])).
% 5.56/5.08 tff(34898,plain,
% 5.56/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s185)) | node2(s199, s185)),
% 5.56/5.08 inference(modus_ponens,[status(thm)],[34897, 34896])).
% 5.56/5.08 tff(34899,plain,
% 5.56/5.08 (node2(s199, s185)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[34898, 13412, 7])).
% 5.56/5.08 tff(34900,plain,
% 5.56/5.08 (always3(s185)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[33554, 13412])).
% 5.56/5.08 tff(34901,plain,
% 5.56/5.08 (~m_main_v_state(s185, c_busy)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[8554, 145, 34900])).
% 5.56/5.08 tff(34902,plain,
% 5.56/5.08 (((~![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(s185, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s185)))),
% 5.56/5.08 inference(rewrite,[status(thm)],[])).
% 5.56/5.08 tff(34903,plain,
% 5.56/5.08 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s185)) | m_main_v_state(s185, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s185, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s185)))),
% 5.56/5.08 inference(rewrite,[status(thm)],[])).
% 5.56/5.08 tff(34904,plain,
% 5.56/5.08 (((~![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(s199, c_ready)) | (~node2(s199, s185)) | m_main_v_state(s185, 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(s185, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s185))))),
% 5.56/5.08 inference(monotonicity,[status(thm)],[34903])).
% 5.56/5.08 tff(34905,plain,
% 5.56/5.08 (((~![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(s199, c_ready)) | (~node2(s199, s185)) | m_main_v_state(s185, 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(s185, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s185)))),
% 5.56/5.08 inference(transitivity,[status(thm)],[34904, 34902])).
% 5.56/5.08 tff(34906,plain,
% 5.56/5.08 ((~![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(s199, c_ready)) | (~node2(s199, s185)) | m_main_v_state(s185, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.08 inference(quant_inst,[status(thm)],[])).
% 5.56/5.08 tff(34907,plain,
% 5.56/5.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s185, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s185))),
% 5.56/5.08 inference(modus_ponens,[status(thm)],[34906, 34905])).
% 5.56/5.08 tff(34908,plain,
% 5.56/5.08 ($false),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[34907, 166, 34901, 32885, 32872, 34899])).
% 5.56/5.08 tff(34909,plain,((~trans(s199, s185)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.08 tff(34910,plain,
% 5.56/5.08 (~trans(s199, s185)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[34909, 32872])).
% 5.56/5.08 tff(34911,plain,
% 5.56/5.08 (~trans(s199, s196)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[34205, 32872])).
% 5.56/5.08 tff(34912,plain,
% 5.56/5.08 (trans(s199, s146)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[15311, 13492, 13539, 34911, 13665, 34910, 13664, 34895, 34880, 13659, 13658, 34865, 13656, 13655, 13654, 34850, 13598, 13651, 13650, 34835, 13648, 13647, 13646, 13645, 13644, 13643, 34820, 13641, 34805, 13639, 13638, 13637, 13636, 13635, 34790, 13633, 13632, 13631, 13630, 34775, 13628, 13627, 13626, 34760, 13624, 34745, 13622, 13621, 13620, 13619, 34730, 13617, 13616, 13615, 34716, 34701, 34686, 34671, 13523, 13609, 13608, 13520, 13606, 13605, 13604, 13603, 13602, 13601, 13666, 13599, 13652, 13597, 34656, 13629, 13594, 13663, 13592, 13591, 13590, 13589, 13588, 13587, 13509, 13484, 34641, 13583, 13582, 13581, 34627, 13579, 34612, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 34597, 13567, 13566, 13565, 13564, 13505, 13562, 13561, 13537, 13559, 13595, 13596, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 13642, 13536, 13531, 13538, 13534, 34582, 13532, 13560, 13530, 13661, 13535, 13527, 13526, 13525, 13613, 13611, 13488, 13568, 13610, 13657, 13518, 13649, 13653, 13515, 13514, 13513, 13512, 13511, 13623, 13533, 13508, 13529, 13506, 13507, 13504, 13503, 13502, 13501, 13500, 13580, 13498, 13497, 13593, 13578, 13614, 13493, 13557, 13496, 13490, 13489, 13495, 34301, 13499, 33935, 13662, 13600, 34581, 34579, 13612, 13440, 13510, 13438, 13437, 13521, 13435, 13434, 13433, 33932, 13528, 13378])).
% 5.56/5.08 tff(34913,plain,
% 5.56/5.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s146)) | node2(s199, s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s146)) | node2(s199, s146))),
% 5.56/5.08 inference(rewrite,[status(thm)],[])).
% 5.56/5.08 tff(34914,plain,
% 5.56/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s146)) | node2(s199, s146))),
% 5.56/5.08 inference(quant_inst,[status(thm)],[])).
% 5.56/5.08 tff(34915,plain,
% 5.56/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s146)) | node2(s199, s146)),
% 5.56/5.08 inference(modus_ponens,[status(thm)],[34914, 34913])).
% 5.56/5.08 tff(34916,plain,
% 5.56/5.08 (node2(s199, s146)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[34915, 34912, 7])).
% 5.56/5.08 tff(34917,plain,
% 5.56/5.08 (~always3(s145)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[4322, 25539])).
% 5.56/5.08 tff(34918,plain,
% 5.56/5.08 (~always3(s144)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[4334, 34917])).
% 5.56/5.08 tff(34919,plain,
% 5.56/5.08 (~always3(s143)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[4968, 34918])).
% 5.56/5.08 tff(34920,plain,
% 5.56/5.08 (~always3(s142)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[5006, 34919])).
% 5.56/5.08 tff(34921,plain,
% 5.56/5.08 (~always3(s141)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[5035, 34920])).
% 5.56/5.08 tff(34922,plain,
% 5.56/5.08 (~always3(s140)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[5064, 34921])).
% 5.56/5.08 tff(34923,plain,
% 5.56/5.08 (~always3(s139)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[5093, 34922])).
% 5.56/5.08 tff(34924,plain,
% 5.56/5.08 (~always3(s138)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[5122, 34923])).
% 5.56/5.08 tff(34925,plain,
% 5.56/5.08 (~always3(s137)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[5151, 34924])).
% 5.56/5.08 tff(34926,plain,
% 5.56/5.08 (~always3(s136)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[5180, 34925])).
% 5.56/5.08 tff(34927,plain,
% 5.56/5.08 (~always3(s135)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[5209, 34926])).
% 5.56/5.08 tff(34928,plain,
% 5.56/5.08 (~always3(s134)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[5238, 34927])).
% 5.56/5.08 tff(34929,plain,
% 5.56/5.08 (~always3(s133)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[5267, 34928])).
% 5.56/5.08 tff(34930,plain,
% 5.56/5.08 (~always3(s132)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[5296, 34929])).
% 5.56/5.08 tff(34931,plain,
% 5.56/5.08 (~always3(s131)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[5325, 34930])).
% 5.56/5.08 tff(34932,plain,
% 5.56/5.08 (~always3(s130)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[5354, 34931])).
% 5.56/5.08 tff(34933,plain,
% 5.56/5.08 (~always3(s129)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[5383, 34932])).
% 5.56/5.08 tff(34934,plain,
% 5.56/5.08 (~always3(s128)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[5412, 34933])).
% 5.56/5.08 tff(34935,plain,
% 5.56/5.08 (~trans(s199, s128)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[24941, 34934])).
% 5.56/5.08 tff(34936,plain,
% 5.56/5.08 (~trans(s199, s129)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[25001, 34933])).
% 5.56/5.08 tff(34937,plain,
% 5.56/5.08 (~trans(s199, s130)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[24930, 34932])).
% 5.56/5.08 tff(34938,plain,
% 5.56/5.08 (~trans(s199, s138)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[25435, 34924])).
% 5.56/5.08 tff(34939,plain,
% 5.56/5.08 (~trans(s199, s132)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[24951, 34930])).
% 5.56/5.08 tff(34940,plain,
% 5.56/5.08 (~trans(s199, s146)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[25548, 25539])).
% 5.56/5.08 tff(34941,plain,
% 5.56/5.08 (~trans(s199, s140)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[25455, 34922])).
% 5.56/5.08 tff(34942,plain,
% 5.56/5.08 (~trans(s199, s131)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[24981, 34931])).
% 5.56/5.08 tff(34943,plain,
% 5.56/5.08 (~trans(s199, s134)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[25465, 34928])).
% 5.56/5.08 tff(34944,plain,
% 5.56/5.08 (~trans(s199, s143)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[26040, 34919])).
% 5.56/5.08 tff(34945,plain,
% 5.56/5.08 (~trans(s199, s133)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[25063, 34929])).
% 5.56/5.08 tff(34946,plain,
% 5.56/5.08 (~trans(s199, s136)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[25485, 34926])).
% 5.56/5.08 tff(34947,plain,
% 5.56/5.08 (~trans(s199, s142)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[25445, 34920])).
% 5.56/5.08 tff(34948,plain,
% 5.56/5.08 (~trans(s199, s135)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[25496, 34927])).
% 5.56/5.08 tff(34949,plain,
% 5.56/5.08 (~trans(s199, s137)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[25475, 34925])).
% 5.56/5.08 tff(34950,plain,
% 5.56/5.08 (~trans(s199, s139)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[25424, 34923])).
% 5.56/5.08 tff(34951,plain,
% 5.56/5.08 (~trans(s199, s141)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[25507, 34921])).
% 5.56/5.08 tff(34952,plain,
% 5.56/5.08 (~trans(s199, s144)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[26028, 34918])).
% 5.56/5.08 tff(34953,plain,
% 5.56/5.08 (~trans(s199, s145)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[25580, 34917])).
% 5.56/5.08 tff(34954,assumption,(~trans(s199, s196)), introduced(assumption)).
% 5.56/5.08 tff(34955,plain,
% 5.56/5.08 (~always3(s127)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[5436, 34934])).
% 5.56/5.08 tff(34956,plain,
% 5.56/5.08 (~trans(s199, s127)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[25022, 34955])).
% 5.56/5.08 tff(34957,plain,
% 5.56/5.08 (~always3(s126)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[5448, 34955])).
% 5.56/5.08 tff(34958,plain,
% 5.56/5.08 (~trans(s199, s126)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[25012, 34957])).
% 5.56/5.08 tff(34959,plain,
% 5.56/5.08 ($false),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[15311, 34958, 34956, 13539, 34954, 13665, 33825, 13664, 33810, 13485, 13659, 13658, 13640, 13656, 13655, 13654, 13625, 13598, 13651, 13650, 13486, 13648, 13647, 13646, 13645, 13644, 13643, 13519, 13641, 13584, 13639, 13638, 13637, 13636, 13635, 13558, 13633, 13632, 13631, 13630, 13487, 13628, 13627, 13626, 13524, 13624, 13522, 13622, 13621, 13620, 13619, 13439, 13617, 13616, 13615, 13618, 13607, 13516, 13586, 13523, 13609, 13608, 13520, 13606, 13605, 13604, 13603, 13602, 13601, 13666, 13599, 13652, 13597, 13634, 13629, 13594, 13663, 13592, 13591, 13590, 13589, 13588, 13587, 13509, 13484, 13436, 13583, 13582, 13581, 13505, 13579, 13596, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13642, 13567, 13566, 13565, 13564, 13537, 13562, 13561, 13595, 13559, 13613, 13492, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 13538, 13536, 13531, 34953, 13534, 33934, 13532, 13560, 13530, 13661, 13535, 13527, 13526, 13525, 34952, 34951, 34950, 13568, 34949, 34948, 13518, 34947, 34946, 13515, 13514, 13513, 13512, 13511, 34945, 13533, 13508, 13529, 13506, 34944, 13504, 13503, 13502, 13501, 13500, 34943, 13498, 13497, 34942, 34941, 34940, 13493, 34939, 13496, 13490, 13489, 34938, 34301, 34937, 33935, 13662, 34936, 13585, 33933, 13612, 13440, 34935, 13438, 13437, 13521, 13435, 13434, 13433, 33932, 13528, 13378])).
% 5.56/5.08 tff(34960,plain,(always3(s146) | trans(s199, s118) | trans(s199, s196) | trans(s199, s63) | trans(s199, s185) | trans(s199, s61) | trans(s199, s184) | trans(s199, s190) | trans(s199, s100) | trans(s199, s83) | trans(s199, s168) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s176) | trans(s199, s0) | trans(s199, s39) | trans(s199, s13) | trans(s199, s182) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s187) | trans(s199, s78) | trans(s199, s186) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s188) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s183) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s180) | trans(s199, s28) | trans(s199, s177) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s178) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s169) | trans(s199, s172) | trans(s199, s174) | trans(s199, s170) | trans(s199, s179) | trans(s199, s20) | trans(s199, s44) | trans(s199, s181) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s175) | trans(s199, s125) | trans(s199, s2) | trans(s199, s74) | trans(s199, s166) | trans(s199, s167) | trans(s199, s65) | trans(s199, s171) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s165) | trans(s199, s192) | trans(s199, s147) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s155) | trans(s199, s69) | trans(s199, s151) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s152) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s161) | trans(s199, s59) | trans(s199, s116) | trans(s199, s160) | trans(s199, s31) | trans(s199, s163) | trans(s199, s148) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s123) | trans(s199, s164) | trans(s199, s153) | trans(s199, s150) | trans(s199, s94) | trans(s199, s197) | trans(s199, s68) | trans(s199, s158) | trans(s199, s35) | trans(s199, s154) | trans(s199, s19) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s149) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s198) | trans(s199, s37) | trans(s199, s157) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s162) | trans(s199, s38) | trans(s199, s120) | trans(s199, s46) | trans(s199, s108) | trans(s199, s195) | trans(s199, s193) | trans(s199, s36) | trans(s199, s199) | trans(s199, s194) | trans(s199, s173) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s156) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s189) | trans(s199, s191) | trans(s199, s5)), inference(lemma,lemma(discharge,[]))).
% 5.56/5.08 tff(34961,plain,
% 5.56/5.08 (always3(s146)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[34960, 13492, 34911, 13665, 34910, 13664, 34895, 34880, 13659, 13658, 34865, 13656, 13655, 13654, 34850, 13598, 13651, 13650, 34835, 13648, 13647, 13646, 13645, 13644, 13643, 34820, 13641, 34805, 13639, 13638, 13637, 13636, 13635, 34790, 13633, 13632, 13631, 13630, 34775, 13628, 13627, 13626, 34760, 13624, 34745, 13622, 13621, 13620, 13619, 34730, 13617, 13616, 13615, 34716, 34701, 34686, 34671, 13523, 13609, 13608, 13520, 13606, 13605, 13604, 13603, 13602, 13601, 13666, 13599, 13652, 13597, 34656, 13629, 13594, 13663, 13592, 13591, 13590, 13589, 13588, 13587, 13509, 13484, 34641, 13583, 13582, 13581, 13505, 13579, 13596, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13642, 13567, 13566, 13565, 13564, 13537, 13562, 13561, 13595, 13559, 13539, 13613, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 13538, 13536, 13531, 13534, 34582, 13532, 13560, 13530, 13661, 13535, 13527, 13526, 13525, 13568, 13518, 13515, 13514, 13513, 13512, 13511, 13533, 13508, 13529, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13497, 13493, 13496, 13490, 13489, 34301, 33935, 13662, 34581, 34579, 13612, 13440, 13438, 13437, 13521, 13435, 13434, 13433, 33932, 13528, 13378])).
% 5.56/5.08 tff(34962,plain,
% 5.56/5.08 (~m_main_v_state(s146, c_busy)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[4907, 145, 34961])).
% 5.56/5.08 tff(34963,plain,
% 5.56/5.08 (((~![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(s146, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s146)))),
% 5.56/5.08 inference(rewrite,[status(thm)],[])).
% 5.56/5.08 tff(34964,plain,
% 5.56/5.08 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s146)) | m_main_v_state(s146, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s146, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s146)))),
% 5.56/5.08 inference(rewrite,[status(thm)],[])).
% 5.56/5.08 tff(34965,plain,
% 5.56/5.08 (((~![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(s199, c_ready)) | (~node2(s199, s146)) | m_main_v_state(s146, 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(s146, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s146))))),
% 5.56/5.08 inference(monotonicity,[status(thm)],[34964])).
% 5.56/5.08 tff(34966,plain,
% 5.56/5.08 (((~![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(s199, c_ready)) | (~node2(s199, s146)) | m_main_v_state(s146, 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(s146, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s146)))),
% 5.56/5.08 inference(transitivity,[status(thm)],[34965, 34963])).
% 5.56/5.08 tff(34967,plain,
% 5.56/5.08 ((~![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(s199, c_ready)) | (~node2(s199, s146)) | m_main_v_state(s146, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.08 inference(quant_inst,[status(thm)],[])).
% 5.56/5.08 tff(34968,plain,
% 5.56/5.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s146, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s146))),
% 5.56/5.08 inference(modus_ponens,[status(thm)],[34967, 34966])).
% 5.56/5.08 tff(34969,plain,
% 5.56/5.08 ($false),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[34968, 166, 34962, 32885, 32872, 34916])).
% 5.56/5.08 tff(34970,plain,(trans(s199, s148) | (~m_main_v_request(s199)) | trans(s199, s118) | trans(s199, s63) | trans(s199, s61) | trans(s199, s100) | trans(s199, s83) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s0) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s179) | trans(s199, s20) | trans(s199, s44) | trans(s199, s181) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s175) | trans(s199, s125) | trans(s199, s2) | trans(s199, s74) | trans(s199, s167) | trans(s199, s65) | trans(s199, s171) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s165) | trans(s199, s192) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s155) | trans(s199, s59) | trans(s199, s116) | trans(s199, s161) | trans(s199, s31) | trans(s199, s160) | trans(s199, s151) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s123) | trans(s199, s152) | trans(s199, s153) | trans(s199, s150) | trans(s199, s164) | trans(s199, s94) | trans(s199, s68) | trans(s199, s158) | trans(s199, s35) | trans(s199, s154) | trans(s199, s19) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s163) | trans(s199, s127) | trans(s199, s139) | trans(s199, s149) | trans(s199, s137) | trans(s199, s135) | trans(s199, s84) | trans(s199, s126) | trans(s199, s136) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s133) | trans(s199, s198) | trans(s199, s37) | trans(s199, s157) | trans(s199, s79) | trans(s199, s143) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s134) | trans(s199, s82) | trans(s199, s162) | trans(s199, s131) | trans(s199, s140) | trans(s199, s145) | trans(s199, s38) | trans(s199, s132) | trans(s199, s120) | trans(s199, s46) | trans(s199, s108) | trans(s199, s138) | trans(s199, s195) | trans(s199, s130) | trans(s199, s193) | trans(s199, s36) | trans(s199, s129) | trans(s199, s173) | trans(s199, s93) | trans(s199, s128) | trans(s199, s16) | trans(s199, s15) | trans(s199, s156) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s189) | trans(s199, s191) | trans(s199, s5)), inference(lemma,lemma(discharge,[]))).
% 5.56/5.08 tff(34971,plain,
% 5.56/5.08 (trans(s199, s193)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[34970, 33932, 32872, 13593, 13665, 13659, 13658, 13656, 13664, 13654, 13655, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13600, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13598, 13609, 13608, 13630, 13606, 13605, 13604, 13603, 13602, 13601, 13666, 13599, 13652, 13597, 13539, 13594, 13523, 13592, 13591, 13590, 13589, 13588, 13587, 13520, 13663, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 34564, 13562, 13561, 34549, 13559, 34535, 34522, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 34509, 34496, 34483, 34468, 13534, 13532, 34453, 13530, 34438, 13535, 13527, 13526, 13525, 33322, 13531, 13536, 13537, 34423, 13596, 13518, 33309, 34409, 13515, 13514, 13513, 13512, 33295, 13560, 13533, 13508, 33337, 13506, 34395, 13504, 13503, 13502, 13501, 13500, 33280, 13498, 34380, 34365, 13492, 13509, 13493, 13657, 13496, 13490, 13489, 13495, 34301, 13623, 13629, 13662, 13507, 13612, 13440, 13611, 13438, 13437, 13521, 13435, 13434, 13433, 13484, 13528, 13378])).
% 5.56/5.08 tff(34972,assumption,(~node2(s199, s193)), introduced(assumption)).
% 5.56/5.08 tff(34973,plain,
% 5.56/5.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s193)) | node2(s199, s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s193)) | node2(s199, s193))),
% 5.56/5.08 inference(rewrite,[status(thm)],[])).
% 5.56/5.08 tff(34974,plain,
% 5.56/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s193)) | node2(s199, s193))),
% 5.56/5.08 inference(quant_inst,[status(thm)],[])).
% 5.56/5.08 tff(34975,plain,
% 5.56/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s193)) | node2(s199, s193)),
% 5.56/5.08 inference(modus_ponens,[status(thm)],[34974, 34973])).
% 5.56/5.08 tff(34976,plain,
% 5.56/5.08 ($false),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[34975, 13442, 7, 34972])).
% 5.56/5.08 tff(34977,plain,((~trans(s199, s193)) | node2(s199, s193)), inference(lemma,lemma(discharge,[]))).
% 5.56/5.08 tff(34978,plain,
% 5.56/5.08 (node2(s199, s193)),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[34977, 34971])).
% 5.56/5.08 tff(34979,assumption,(node2(s199, s193)), introduced(assumption)).
% 5.56/5.08 tff(34980,assumption,(~m_main_v_state(s193, c_busy)), introduced(assumption)).
% 5.56/5.08 tff(34981,plain,
% 5.56/5.08 (((~![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(s193, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s193)))),
% 5.56/5.08 inference(rewrite,[status(thm)],[])).
% 5.56/5.08 tff(34982,plain,
% 5.56/5.08 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s193)) | m_main_v_state(s193, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s193, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s193)))),
% 5.56/5.08 inference(rewrite,[status(thm)],[])).
% 5.56/5.08 tff(34983,plain,
% 5.56/5.08 (((~![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(s199, c_ready)) | (~node2(s199, s193)) | m_main_v_state(s193, 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(s193, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s193))))),
% 5.56/5.08 inference(monotonicity,[status(thm)],[34982])).
% 5.56/5.08 tff(34984,plain,
% 5.56/5.08 (((~![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(s199, c_ready)) | (~node2(s199, s193)) | m_main_v_state(s193, 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(s193, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s193)))),
% 5.56/5.08 inference(transitivity,[status(thm)],[34983, 34981])).
% 5.56/5.08 tff(34985,plain,
% 5.56/5.08 ((~![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(s199, c_ready)) | (~node2(s199, s193)) | m_main_v_state(s193, c_busy) | (~m_main_v_request(s199)))),
% 5.56/5.08 inference(quant_inst,[status(thm)],[])).
% 5.56/5.08 tff(34986,plain,
% 5.56/5.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s193, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s193))),
% 5.56/5.08 inference(modus_ponens,[status(thm)],[34985, 34984])).
% 5.56/5.08 tff(34987,plain,
% 5.56/5.08 ($false),
% 5.56/5.08 inference(unit_resolution,[status(thm)],[34986, 166, 34980, 32885, 32872, 34979])).
% 5.56/5.09 tff(34988,plain,((~node2(s199, s193)) | m_main_v_state(s193, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.56/5.09 tff(34989,plain,
% 5.56/5.09 (m_main_v_state(s193, c_busy)),
% 5.56/5.09 inference(unit_resolution,[status(thm)],[34988, 34978, 32872])).
% 5.56/5.09 tff(34990,plain,
% 5.56/5.09 (~trans(s199, s193)),
% 5.56/5.09 inference(unit_resolution,[status(thm)],[33870, 23402])).
% 5.56/5.09 tff(34991,plain,
% 5.56/5.09 (~trans(s199, s192)),
% 5.56/5.09 inference(unit_resolution,[status(thm)],[33377, 23403])).
% 5.56/5.09 tff(34992,plain,
% 5.56/5.09 (~trans(s199, s191)),
% 5.56/5.09 inference(unit_resolution,[status(thm)],[33475, 23404])).
% 5.56/5.09 tff(34993,plain,
% 5.56/5.09 ($false),
% 5.56/5.09 inference(unit_resolution,[status(thm)],[15311, 34992, 34991, 13598, 13558, 13665, 13666, 13664, 13663, 13660, 13659, 13658, 13657, 13656, 13655, 13654, 13653, 13662, 13651, 13650, 13649, 13648, 13647, 13646, 13645, 13644, 13643, 13661, 13641, 13640, 13639, 13638, 13637, 13636, 13635, 13634, 13633, 13632, 13631, 13630, 13629, 13628, 13627, 13626, 13625, 13624, 13623, 13622, 13621, 13620, 13619, 13618, 13617, 13616, 13615, 13614, 13613, 13612, 13611, 13610, 13609, 13608, 13607, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13652, 13597, 13596, 13595, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 13586, 13642, 13585, 13583, 13582, 13581, 13580, 13579, 13578, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13568, 13567, 13566, 13565, 13564, 13563, 13562, 13561, 13560, 13559, 13584, 13557, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 13538, 13537, 13536, 13535, 13534, 33934, 13532, 13531, 13530, 13529, 34954, 13527, 13526, 13525, 13524, 13523, 13522, 13521, 13520, 13519, 13518, 13517, 13516, 13515, 13514, 13513, 13512, 13511, 13510, 13509, 13508, 13507, 13506, 13505, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13496, 13495, 13494, 13493, 13492, 13491, 13490, 13489, 13488, 13487, 13486, 13485, 34301, 33810, 13533, 33933, 34990, 13440, 13439, 13438, 13437, 13436, 13435, 13434, 13433, 33932, 33825, 13378])).
% 5.56/5.09 tff(34994,plain,(always3(s193) | trans(s199, s0) | trans(s199, s188) | trans(s199, s63) | trans(s199, s175) | trans(s199, s61) | trans(s199, s171) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s36) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s154) | trans(s199, s78) | trans(s199, s168) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s166) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s167) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s176) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s169) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s145) | trans(s199, s163) | trans(s199, s173) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s172) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s2) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s170) | trans(s199, s152) | trans(s199, s199) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s149) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s144) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s186) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s164) | trans(s199, s161) | trans(s199, s153) | trans(s199, s19) | trans(s199, s94) | trans(s199, s197) | trans(s199, s68) | trans(s199, s150) | trans(s199, s35) | trans(s199, s157) | trans(s199, s196) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s180) | trans(s199, s179) | trans(s199, s177) | trans(s199, s156) | trans(s199, s181) | trans(s199, s187) | trans(s199, s84) | trans(s199, s142) | trans(s199, s174) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s165) | trans(s199, s37) | trans(s199, s143) | trans(s199, s79) | trans(s199, s155) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s162) | trans(s199, s120) | trans(s199, s138) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s183) | trans(s199, s182) | trans(s199, s190) | trans(s199, s195) | trans(s199, s184) | trans(s199, s198) | trans(s199, s194) | trans(s199, s93) | trans(s199, s178) | trans(s199, s16) | trans(s199, s15) | trans(s199, s147) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s189) | trans(s199, s185) | trans(s199, s5)), inference(lemma,lemma(discharge,[]))).
% 5.56/5.09 tff(34995,plain,
% 5.56/5.09 (always3(s193)),
% 5.56/5.09 inference(unit_resolution,[status(thm)],[34994, 33932, 34911, 13665, 34850, 13664, 34301, 34627, 13659, 13658, 13657, 13656, 13655, 13654, 34535, 13662, 13651, 13650, 34438, 13648, 13647, 13646, 13645, 13644, 13643, 33295, 13641, 13663, 13639, 13638, 13637, 13636, 13635, 34656, 13633, 13632, 13631, 13630, 13629, 13628, 13627, 13626, 13666, 13624, 13623, 13622, 13621, 13620, 13619, 34716, 13617, 13616, 13615, 34549, 34365, 13612, 13611, 34522, 13609, 13608, 34701, 13606, 13605, 13604, 13603, 13602, 13601, 13600, 13599, 13652, 13597, 13596, 34423, 13594, 13593, 13592, 13591, 13590, 13589, 13588, 13587, 34671, 33309, 13598, 13583, 13582, 13581, 34496, 13579, 34509, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 33337, 13567, 13566, 13565, 13564, 34597, 13562, 13561, 13560, 13559, 13533, 34468, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13539, 34409, 13537, 13536, 13535, 13534, 34582, 13532, 13531, 13530, 33280, 34865, 13527, 13526, 13525, 34760, 13523, 34745, 13521, 13520, 34805, 13518, 34612, 34686, 13515, 13514, 13513, 13512, 34395, 34483, 13509, 13508, 13507, 13506, 33322, 13504, 13503, 13502, 13501, 13500, 34453, 13498, 34380, 13496, 13495, 13494, 13493, 13492, 13491, 13490, 13489, 34564, 34775, 34835, 34820, 34790, 34895, 34581, 34579, 13440, 34730, 13438, 13437, 34641, 13435, 13434, 13433, 34880, 34910, 13378])).
% 5.56/5.09 tff(34996,plain,
% 5.56/5.09 ($false),
% 5.56/5.09 inference(unit_resolution,[status(thm)],[3629, 145, 34995, 34989])).
% 5.56/5.09 tff(34997,plain,(trans(s199, s189) | (~m_main_v_request(s199)) | trans(s199, s131) | trans(s199, s63) | trans(s199, s100) | trans(s199, s83) | trans(s199, s117) | trans(s199, s61) | trans(s199, s87) | trans(s199, s50) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s129) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s0) | trans(s199, s20) | trans(s199, s44) | trans(s199, s124) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s175) | trans(s199, s125) | trans(s199, s2) | trans(s199, s74) | trans(s199, s118) | trans(s199, s65) | trans(s199, s179) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s181) | trans(s199, s171) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s123) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s19) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s150) | trans(s199, s153) | trans(s199, s161) | trans(s199, s151) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s158) | trans(s199, s198) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s148) | trans(s199, s165) | trans(s199, s38) | trans(s199, s135) | trans(s199, s120) | trans(s199, s46) | trans(s199, s108) | trans(s199, s138) | trans(s199, s195) | trans(s199, s133) | trans(s199, s167) | trans(s199, s36) | trans(s199, s143) | trans(s199, s173) | trans(s199, s93) | trans(s199, s127) | trans(s199, s16) | trans(s199, s15) | trans(s199, s156) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s192) | trans(s199, s191) | trans(s199, s5) | trans(s199, s146)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.09 tff(34998,plain,
% 5.62/5.09 (trans(s199, s165)),
% 5.62/5.09 inference(unit_resolution,[status(thm)],[34997, 34350, 34349, 13665, 13659, 13658, 34327, 13664, 13654, 13655, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13656, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13598, 13609, 13608, 13593, 13606, 13605, 13604, 13603, 13630, 13601, 13600, 13599, 13652, 13597, 13602, 13594, 34305, 13592, 13591, 13590, 13589, 13588, 13587, 34304, 34303, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 13534, 13532, 13530, 13535, 13527, 13526, 13525, 13531, 13536, 13537, 13596, 13518, 13515, 13514, 13513, 13512, 13560, 13539, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13492, 34302, 13493, 13657, 13496, 13490, 13489, 13495, 34301, 13623, 34300, 13662, 13507, 34299, 13440, 13611, 13438, 13437, 13521, 13435, 13434, 13433, 32872, 13533, 13378, 13494])).
% 5.62/5.09 tff(34999,plain,
% 5.62/5.09 ($false),
% 5.62/5.09 inference(unit_resolution,[status(thm)],[25844, 34998, 34298])).
% 5.62/5.09 tff(35000,plain,(always3(s191) | trans(s199, s63) | trans(s199, s100) | trans(s199, s83) | trans(s199, s61) | trans(s199, s87) | trans(s199, s50) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s117) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s0) | trans(s199, s20) | trans(s199, s44) | trans(s199, s131) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s124) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s2) | trans(s199, s74) | trans(s199, s121) | trans(s199, s65) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s123) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s19) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s150) | trans(s199, s153) | trans(s199, s161) | trans(s199, s151) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s158) | trans(s199, s118) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s148) | trans(s199, s38) | trans(s199, s135) | trans(s199, s120) | trans(s199, s46) | trans(s199, s108) | trans(s199, s138) | trans(s199, s195) | trans(s199, s133) | trans(s199, s36) | trans(s199, s143) | trans(s199, s93) | trans(s199, s127) | trans(s199, s16) | trans(s199, s15) | trans(s199, s156) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | (~m_main_v_request(s199)) | trans(s199, s198) | trans(s199, s5) | trans(s199, s146)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.09 tff(35001,plain,
% 5.62/5.09 (always3(s191)),
% 5.62/5.09 inference(unit_resolution,[status(thm)],[35000, 34272, 13659, 13658, 13664, 13654, 13655, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13656, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13598, 13609, 13608, 13665, 13606, 13605, 13604, 13603, 13630, 13601, 34254, 13599, 13652, 13597, 13602, 13594, 13592, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 13534, 13532, 13530, 13535, 13527, 13526, 13525, 13531, 13536, 13537, 13596, 13518, 13515, 13514, 13513, 13512, 13560, 13539, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 34253, 13493, 34252, 13496, 13490, 13489, 34251, 34250, 13623, 13662, 34249, 13440, 34248, 13438, 13437, 13521, 13435, 13434, 13433, 32872, 34228, 13378, 33265])).
% 5.62/5.09 tff(35002,plain,
% 5.62/5.09 (always3(s192)),
% 5.62/5.09 inference(unit_resolution,[status(thm)],[3350, 35001])).
% 5.62/5.09 tff(35003,plain,
% 5.62/5.09 (always3(s193)),
% 5.62/5.09 inference(unit_resolution,[status(thm)],[3338, 35002])).
% 5.62/5.09 tff(35004,plain,
% 5.62/5.09 (~m_main_v_state(s193, c_busy)),
% 5.62/5.09 inference(unit_resolution,[status(thm)],[3629, 145, 35003])).
% 5.62/5.09 tff(35005,plain,
% 5.62/5.09 (~node2(s199, s193)),
% 5.62/5.09 inference(unit_resolution,[status(thm)],[34988, 35004, 32872])).
% 5.62/5.09 tff(35006,plain,
% 5.62/5.09 (~trans(s199, s193)),
% 5.62/5.09 inference(unit_resolution,[status(thm)],[34977, 35005])).
% 5.62/5.09 tff(35007,plain,
% 5.62/5.09 (~trans(s199, s165)),
% 5.62/5.09 inference(unit_resolution,[status(thm)],[25844, 25835])).
% 5.62/5.09 tff(35008,assumption,(~node2(s199, s173)), introduced(assumption)).
% 5.62/5.09 tff(35009,plain,
% 5.62/5.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s173)) | node2(s199, s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s173)) | node2(s199, s173))),
% 5.62/5.09 inference(rewrite,[status(thm)],[])).
% 5.62/5.09 tff(35010,plain,
% 5.62/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s173)) | node2(s199, s173))),
% 5.62/5.09 inference(quant_inst,[status(thm)],[])).
% 5.62/5.09 tff(35011,plain,
% 5.62/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s173)) | node2(s199, s173)),
% 5.62/5.09 inference(modus_ponens,[status(thm)],[35010, 35009])).
% 5.62/5.09 tff(35012,plain,
% 5.62/5.09 ($false),
% 5.62/5.09 inference(unit_resolution,[status(thm)],[35011, 12772, 7, 35008])).
% 5.62/5.09 tff(35013,plain,((~trans(s199, s173)) | node2(s199, s173)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.09 tff(35014,plain,
% 5.62/5.09 (node2(s199, s173)),
% 5.62/5.09 inference(unit_resolution,[status(thm)],[35013, 12772])).
% 5.62/5.09 tff(35015,assumption,(node2(s199, s173)), introduced(assumption)).
% 5.62/5.09 tff(35016,plain,
% 5.62/5.09 (((~![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(s173, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s173)))),
% 5.62/5.09 inference(rewrite,[status(thm)],[])).
% 5.62/5.09 tff(35017,plain,
% 5.62/5.09 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s173)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s173, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s173)))),
% 5.62/5.09 inference(rewrite,[status(thm)],[])).
% 5.62/5.09 tff(35018,plain,
% 5.62/5.09 (((~![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(s199, c_ready)) | (~node2(s199, s173)) | m_main_v_state(s173, 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(s173, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s173))))),
% 5.62/5.09 inference(monotonicity,[status(thm)],[35017])).
% 5.62/5.09 tff(35019,plain,
% 5.62/5.09 (((~![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(s199, c_ready)) | (~node2(s199, s173)) | m_main_v_state(s173, 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(s173, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s173)))),
% 5.62/5.09 inference(transitivity,[status(thm)],[35018, 35016])).
% 5.62/5.09 tff(35020,plain,
% 5.62/5.09 ((~![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(s199, c_ready)) | (~node2(s199, s173)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s199)))),
% 5.62/5.09 inference(quant_inst,[status(thm)],[])).
% 5.62/5.09 tff(35021,plain,
% 5.62/5.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s173, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s173))),
% 5.62/5.09 inference(modus_ponens,[status(thm)],[35020, 35019])).
% 5.62/5.09 tff(35022,plain,
% 5.62/5.09 ($false),
% 5.62/5.09 inference(unit_resolution,[status(thm)],[35021, 166, 23900, 32885, 32872, 35015])).
% 5.62/5.09 tff(35023,plain,((~node2(s199, s173)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.09 tff(35024,plain,
% 5.62/5.09 (m_main_v_state(s173, c_busy)),
% 5.62/5.09 inference(unit_resolution,[status(thm)],[35023, 35014, 32872])).
% 5.62/5.10 tff(35025,plain,
% 5.62/5.10 ($false),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[22801, 145, 26747, 35024])).
% 5.62/5.10 tff(35026,plain,((~trans(s199, s173)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.10 tff(35027,plain,
% 5.62/5.10 (~trans(s199, s173)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35026, 32872])).
% 5.62/5.10 tff(35028,assumption,(~node2(s199, s181)), introduced(assumption)).
% 5.62/5.10 tff(35029,plain,
% 5.62/5.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s181)) | node2(s199, s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s181)) | node2(s199, s181))),
% 5.62/5.10 inference(rewrite,[status(thm)],[])).
% 5.62/5.10 tff(35030,plain,
% 5.62/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s181)) | node2(s199, s181))),
% 5.62/5.10 inference(quant_inst,[status(thm)],[])).
% 5.62/5.10 tff(35031,plain,
% 5.62/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s181)) | node2(s199, s181)),
% 5.62/5.10 inference(modus_ponens,[status(thm)],[35030, 35029])).
% 5.62/5.10 tff(35032,plain,
% 5.62/5.10 ($false),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35031, 11760, 7, 35028])).
% 5.62/5.10 tff(35033,plain,((~trans(s199, s181)) | node2(s199, s181)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.10 tff(35034,plain,
% 5.62/5.10 (node2(s199, s181)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35033, 11760])).
% 5.62/5.10 tff(35035,assumption,(node2(s199, s181)), introduced(assumption)).
% 5.62/5.10 tff(35036,assumption,(~m_main_v_state(s181, c_busy)), introduced(assumption)).
% 5.62/5.10 tff(35037,plain,
% 5.62/5.10 (((~![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(s181, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s181)))),
% 5.62/5.10 inference(rewrite,[status(thm)],[])).
% 5.62/5.10 tff(35038,plain,
% 5.62/5.10 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s181)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s181, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s181)))),
% 5.62/5.10 inference(rewrite,[status(thm)],[])).
% 5.62/5.10 tff(35039,plain,
% 5.62/5.10 (((~![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(s199, c_ready)) | (~node2(s199, s181)) | m_main_v_state(s181, 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(s181, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s181))))),
% 5.62/5.10 inference(monotonicity,[status(thm)],[35038])).
% 5.62/5.10 tff(35040,plain,
% 5.62/5.10 (((~![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(s199, c_ready)) | (~node2(s199, s181)) | m_main_v_state(s181, 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(s181, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s181)))),
% 5.62/5.10 inference(transitivity,[status(thm)],[35039, 35037])).
% 5.62/5.10 tff(35041,plain,
% 5.62/5.10 ((~![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(s199, c_ready)) | (~node2(s199, s181)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s199)))),
% 5.62/5.10 inference(quant_inst,[status(thm)],[])).
% 5.62/5.10 tff(35042,plain,
% 5.62/5.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s181, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s181))),
% 5.62/5.10 inference(modus_ponens,[status(thm)],[35041, 35040])).
% 5.62/5.10 tff(35043,plain,
% 5.62/5.10 ($false),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35042, 166, 35036, 32885, 32872, 35035])).
% 5.62/5.10 tff(35044,plain,((~node2(s199, s181)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.10 tff(35045,plain,
% 5.62/5.10 (m_main_v_state(s181, c_busy)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35044, 35034, 32872])).
% 5.62/5.10 tff(35046,plain,
% 5.62/5.10 (always3(s181)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[25866, 11760])).
% 5.62/5.10 tff(35047,plain,
% 5.62/5.10 ($false),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[23041, 145, 35046, 35045])).
% 5.62/5.10 tff(35048,plain,((~trans(s199, s181)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.10 tff(35049,plain,
% 5.62/5.10 (~trans(s199, s181)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35048, 32872])).
% 5.62/5.10 tff(35050,assumption,(~node2(s199, s179)), introduced(assumption)).
% 5.62/5.10 tff(35051,plain,
% 5.62/5.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s179)) | node2(s199, s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s179)) | node2(s199, s179))),
% 5.62/5.10 inference(rewrite,[status(thm)],[])).
% 5.62/5.10 tff(35052,plain,
% 5.62/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s179)) | node2(s199, s179))),
% 5.62/5.10 inference(quant_inst,[status(thm)],[])).
% 5.62/5.10 tff(35053,plain,
% 5.62/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s179)) | node2(s199, s179)),
% 5.62/5.10 inference(modus_ponens,[status(thm)],[35052, 35051])).
% 5.62/5.10 tff(35054,plain,
% 5.62/5.10 ($false),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35053, 11793, 7, 35050])).
% 5.62/5.10 tff(35055,plain,((~trans(s199, s179)) | node2(s199, s179)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.10 tff(35056,plain,
% 5.62/5.10 (node2(s199, s179)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35055, 11793])).
% 5.62/5.10 tff(35057,assumption,(node2(s199, s179)), introduced(assumption)).
% 5.62/5.10 tff(35058,plain,
% 5.62/5.10 (((~![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(s179, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s179)))),
% 5.62/5.10 inference(rewrite,[status(thm)],[])).
% 5.62/5.10 tff(35059,plain,
% 5.62/5.10 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s179)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s179, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s179)))),
% 5.62/5.10 inference(rewrite,[status(thm)],[])).
% 5.62/5.10 tff(35060,plain,
% 5.62/5.10 (((~![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(s199, c_ready)) | (~node2(s199, s179)) | m_main_v_state(s179, 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(s179, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s179))))),
% 5.62/5.10 inference(monotonicity,[status(thm)],[35059])).
% 5.62/5.10 tff(35061,plain,
% 5.62/5.10 (((~![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(s199, c_ready)) | (~node2(s199, s179)) | m_main_v_state(s179, 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(s179, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s179)))),
% 5.62/5.10 inference(transitivity,[status(thm)],[35060, 35058])).
% 5.62/5.10 tff(35062,plain,
% 5.62/5.10 ((~![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(s199, c_ready)) | (~node2(s199, s179)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s199)))),
% 5.62/5.10 inference(quant_inst,[status(thm)],[])).
% 5.62/5.10 tff(35063,plain,
% 5.62/5.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s179, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s179))),
% 5.62/5.10 inference(modus_ponens,[status(thm)],[35062, 35061])).
% 5.62/5.10 tff(35064,plain,
% 5.62/5.10 ($false),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35063, 166, 30995, 32885, 32872, 35057])).
% 5.62/5.10 tff(35065,plain,((~node2(s199, s179)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.10 tff(35066,plain,
% 5.62/5.10 (m_main_v_state(s179, c_busy)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35065, 35056, 32872])).
% 5.62/5.10 tff(35067,plain,
% 5.62/5.10 (always3(s179)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[25888, 11793])).
% 5.62/5.10 tff(35068,plain,
% 5.62/5.10 ($false),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[8651, 145, 35067, 35066])).
% 5.62/5.10 tff(35069,plain,((~trans(s199, s179)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.10 tff(35070,plain,
% 5.62/5.10 (~trans(s199, s179)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35069, 32872])).
% 5.62/5.10 tff(35071,plain,
% 5.62/5.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s171)) | node2(s199, s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s171)) | node2(s199, s171))),
% 5.62/5.10 inference(rewrite,[status(thm)],[])).
% 5.62/5.10 tff(35072,plain,
% 5.62/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s171)) | node2(s199, s171))),
% 5.62/5.10 inference(quant_inst,[status(thm)],[])).
% 5.62/5.10 tff(35073,plain,
% 5.62/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s171)) | node2(s199, s171)),
% 5.62/5.10 inference(modus_ponens,[status(thm)],[35072, 35071])).
% 5.62/5.10 tff(35074,plain,
% 5.62/5.10 (node2(s199, s171)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35073, 13333, 7])).
% 5.62/5.10 tff(35075,assumption,(node2(s199, s171)), introduced(assumption)).
% 5.62/5.10 tff(35076,plain,
% 5.62/5.10 (((~![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(s171, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s171)))),
% 5.62/5.10 inference(rewrite,[status(thm)],[])).
% 5.62/5.10 tff(35077,plain,
% 5.62/5.10 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s171)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s171, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s171)))),
% 5.62/5.10 inference(rewrite,[status(thm)],[])).
% 5.62/5.10 tff(35078,plain,
% 5.62/5.10 (((~![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(s199, c_ready)) | (~node2(s199, s171)) | m_main_v_state(s171, 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(s171, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s171))))),
% 5.62/5.10 inference(monotonicity,[status(thm)],[35077])).
% 5.62/5.10 tff(35079,plain,
% 5.62/5.10 (((~![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(s199, c_ready)) | (~node2(s199, s171)) | m_main_v_state(s171, 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(s171, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s171)))),
% 5.62/5.10 inference(transitivity,[status(thm)],[35078, 35076])).
% 5.62/5.10 tff(35080,plain,
% 5.62/5.10 ((~![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(s199, c_ready)) | (~node2(s199, s171)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s199)))),
% 5.62/5.10 inference(quant_inst,[status(thm)],[])).
% 5.62/5.10 tff(35081,plain,
% 5.62/5.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s171, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s171))),
% 5.62/5.10 inference(modus_ponens,[status(thm)],[35080, 35079])).
% 5.62/5.10 tff(35082,plain,
% 5.62/5.10 ($false),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35081, 166, 31045, 32885, 32872, 35075])).
% 5.62/5.10 tff(35083,plain,((~node2(s199, s171)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.10 tff(35084,plain,
% 5.62/5.10 ($false),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35083, 26778, 35074, 32872])).
% 5.62/5.10 tff(35085,plain,((~trans(s199, s171)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.10 tff(35086,plain,
% 5.62/5.10 (~trans(s199, s171)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35085, 32872])).
% 5.62/5.10 tff(35087,plain,
% 5.62/5.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s167)) | node2(s199, s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s167)) | node2(s199, s167))),
% 5.62/5.10 inference(rewrite,[status(thm)],[])).
% 5.62/5.10 tff(35088,plain,
% 5.62/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s167)) | node2(s199, s167))),
% 5.62/5.10 inference(quant_inst,[status(thm)],[])).
% 5.62/5.10 tff(35089,plain,
% 5.62/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s167)) | node2(s199, s167)),
% 5.62/5.10 inference(modus_ponens,[status(thm)],[35088, 35087])).
% 5.62/5.10 tff(35090,plain,
% 5.62/5.10 (node2(s199, s167)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35089, 12959, 7])).
% 5.62/5.10 tff(35091,plain,
% 5.62/5.10 (always3(s167)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[25985, 12959])).
% 5.62/5.10 tff(35092,plain,
% 5.62/5.10 (~m_main_v_state(s167, c_busy)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[8886, 145, 35091])).
% 5.62/5.10 tff(35093,assumption,(node2(s199, s167)), introduced(assumption)).
% 5.62/5.10 tff(35094,plain,
% 5.62/5.10 (((~![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(s167, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s167)))),
% 5.62/5.10 inference(rewrite,[status(thm)],[])).
% 5.62/5.10 tff(35095,plain,
% 5.62/5.10 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s167)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s167, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s167)))),
% 5.62/5.10 inference(rewrite,[status(thm)],[])).
% 5.62/5.10 tff(35096,plain,
% 5.62/5.10 (((~![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(s199, c_ready)) | (~node2(s199, s167)) | m_main_v_state(s167, 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(s167, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s167))))),
% 5.62/5.10 inference(monotonicity,[status(thm)],[35095])).
% 5.62/5.10 tff(35097,plain,
% 5.62/5.10 (((~![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(s199, c_ready)) | (~node2(s199, s167)) | m_main_v_state(s167, 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(s167, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s167)))),
% 5.62/5.10 inference(transitivity,[status(thm)],[35096, 35094])).
% 5.62/5.10 tff(35098,plain,
% 5.62/5.10 ((~![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(s199, c_ready)) | (~node2(s199, s167)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s199)))),
% 5.62/5.10 inference(quant_inst,[status(thm)],[])).
% 5.62/5.10 tff(35099,plain,
% 5.62/5.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s167, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s167))),
% 5.62/5.10 inference(modus_ponens,[status(thm)],[35098, 35097])).
% 5.62/5.10 tff(35100,plain,
% 5.62/5.10 ($false),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35099, 166, 23962, 32885, 32872, 35093])).
% 5.62/5.10 tff(35101,plain,((~node2(s199, s167)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.10 tff(35102,plain,
% 5.62/5.10 ($false),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35101, 35092, 35090, 32872])).
% 5.62/5.10 tff(35103,plain,((~trans(s199, s167)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.10 tff(35104,plain,
% 5.62/5.10 (~trans(s199, s167)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35103, 32872])).
% 5.62/5.10 tff(35105,plain,
% 5.62/5.10 (~m_main_v_state(s191, c_busy)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[3693, 145, 35001])).
% 5.62/5.10 tff(35106,assumption,(node2(s199, s191)), introduced(assumption)).
% 5.62/5.10 tff(35107,assumption,(~m_main_v_state(s191, c_busy)), introduced(assumption)).
% 5.62/5.10 tff(35108,plain,
% 5.62/5.10 (((~![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(s191, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s191)))),
% 5.62/5.10 inference(rewrite,[status(thm)],[])).
% 5.62/5.10 tff(35109,plain,
% 5.62/5.10 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s191)) | m_main_v_state(s191, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s191, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s191)))),
% 5.62/5.10 inference(rewrite,[status(thm)],[])).
% 5.62/5.10 tff(35110,plain,
% 5.62/5.10 (((~![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(s199, c_ready)) | (~node2(s199, s191)) | m_main_v_state(s191, 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(s191, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s191))))),
% 5.62/5.10 inference(monotonicity,[status(thm)],[35109])).
% 5.62/5.10 tff(35111,plain,
% 5.62/5.10 (((~![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(s199, c_ready)) | (~node2(s199, s191)) | m_main_v_state(s191, 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(s191, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s191)))),
% 5.62/5.10 inference(transitivity,[status(thm)],[35110, 35108])).
% 5.62/5.10 tff(35112,plain,
% 5.62/5.10 ((~![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(s199, c_ready)) | (~node2(s199, s191)) | m_main_v_state(s191, c_busy) | (~m_main_v_request(s199)))),
% 5.62/5.10 inference(quant_inst,[status(thm)],[])).
% 5.62/5.10 tff(35113,plain,
% 5.62/5.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s191, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s191))),
% 5.62/5.10 inference(modus_ponens,[status(thm)],[35112, 35111])).
% 5.62/5.10 tff(35114,plain,
% 5.62/5.10 ($false),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35113, 166, 35107, 32885, 32872, 35106])).
% 5.62/5.10 tff(35115,plain,((~node2(s199, s191)) | m_main_v_state(s191, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.10 tff(35116,plain,
% 5.62/5.10 (~node2(s199, s191)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35115, 35105, 32872])).
% 5.62/5.10 tff(35117,assumption,(~node2(s199, s191)), introduced(assumption)).
% 5.62/5.10 tff(35118,plain,
% 5.62/5.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s191)) | node2(s199, s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s191)) | node2(s199, s191))),
% 5.62/5.10 inference(rewrite,[status(thm)],[])).
% 5.62/5.10 tff(35119,plain,
% 5.62/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s191)) | node2(s199, s191))),
% 5.62/5.10 inference(quant_inst,[status(thm)],[])).
% 5.62/5.10 tff(35120,plain,
% 5.62/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s191)) | node2(s199, s191)),
% 5.62/5.10 inference(modus_ponens,[status(thm)],[35119, 35118])).
% 5.62/5.10 tff(35121,plain,
% 5.62/5.10 ($false),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35120, 11848, 7, 35117])).
% 5.62/5.10 tff(35122,plain,((~trans(s199, s191)) | node2(s199, s191)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.10 tff(35123,plain,
% 5.62/5.10 (~trans(s199, s191)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35122, 35116])).
% 5.62/5.10 tff(35124,plain,
% 5.62/5.10 (trans(s199, s175)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[34960, 35123, 34911, 13665, 34910, 13664, 34895, 34880, 13659, 13658, 34865, 34349, 13655, 13654, 34850, 13598, 13651, 13650, 34835, 34327, 13647, 13646, 13645, 35104, 13643, 34820, 13641, 34805, 13639, 13638, 13637, 13636, 13635, 34790, 13633, 13632, 13631, 35086, 34775, 13628, 13627, 13626, 34760, 13624, 34745, 13622, 35070, 13620, 13619, 34730, 13617, 13616, 13615, 34716, 34701, 34686, 34671, 35049, 13609, 13608, 35027, 13606, 13605, 13604, 13603, 13644, 13601, 13648, 13656, 13652, 13597, 34656, 13621, 13594, 13599, 13592, 13591, 13590, 13589, 13588, 13587, 13630, 35007, 34641, 13583, 13582, 13581, 33322, 13579, 13596, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 33309, 13567, 13566, 13565, 13564, 13537, 13562, 13561, 34423, 13559, 13602, 34365, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 34409, 13536, 13531, 13534, 34582, 13532, 13560, 13530, 33295, 13535, 13527, 13526, 13525, 33337, 13518, 13515, 13514, 13513, 13512, 34395, 13539, 13508, 33280, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 34380, 13493, 13496, 13490, 13489, 34253, 33264, 13662, 34581, 34579, 34272, 13440, 13438, 13437, 13521, 13435, 13434, 13433, 34228, 35006, 13378])).
% 5.62/5.10 tff(35125,assumption,(~node2(s199, s175)), introduced(assumption)).
% 5.62/5.10 tff(35126,plain,
% 5.62/5.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s175)) | node2(s199, s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s175)) | node2(s199, s175))),
% 5.62/5.10 inference(rewrite,[status(thm)],[])).
% 5.62/5.10 tff(35127,plain,
% 5.62/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s175)) | node2(s199, s175))),
% 5.62/5.10 inference(quant_inst,[status(thm)],[])).
% 5.62/5.10 tff(35128,plain,
% 5.62/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s175)) | node2(s199, s175)),
% 5.62/5.10 inference(modus_ponens,[status(thm)],[35127, 35126])).
% 5.62/5.10 tff(35129,plain,
% 5.62/5.10 ($false),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35128, 13344, 7, 35125])).
% 5.62/5.10 tff(35130,plain,((~trans(s199, s175)) | node2(s199, s175)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.10 tff(35131,plain,
% 5.62/5.10 (node2(s199, s175)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35130, 35124])).
% 5.62/5.10 tff(35132,assumption,(node2(s199, s175)), introduced(assumption)).
% 5.62/5.10 tff(35133,assumption,(~m_main_v_state(s175, c_busy)), introduced(assumption)).
% 5.62/5.10 tff(35134,plain,
% 5.62/5.10 (((~![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(s175, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s175)))),
% 5.62/5.10 inference(rewrite,[status(thm)],[])).
% 5.62/5.10 tff(35135,plain,
% 5.62/5.10 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s175)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s175, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s175)))),
% 5.62/5.10 inference(rewrite,[status(thm)],[])).
% 5.62/5.10 tff(35136,plain,
% 5.62/5.10 (((~![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(s199, c_ready)) | (~node2(s199, s175)) | m_main_v_state(s175, 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(s175, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s175))))),
% 5.62/5.10 inference(monotonicity,[status(thm)],[35135])).
% 5.62/5.10 tff(35137,plain,
% 5.62/5.10 (((~![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(s199, c_ready)) | (~node2(s199, s175)) | m_main_v_state(s175, 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(s175, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s175)))),
% 5.62/5.10 inference(transitivity,[status(thm)],[35136, 35134])).
% 5.62/5.10 tff(35138,plain,
% 5.62/5.10 ((~![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(s199, c_ready)) | (~node2(s199, s175)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s199)))),
% 5.62/5.10 inference(quant_inst,[status(thm)],[])).
% 5.62/5.10 tff(35139,plain,
% 5.62/5.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s175, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s175))),
% 5.62/5.10 inference(modus_ponens,[status(thm)],[35138, 35137])).
% 5.62/5.10 tff(35140,plain,
% 5.62/5.10 ($false),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35139, 166, 35133, 32885, 32872, 35132])).
% 5.62/5.10 tff(35141,plain,((~node2(s199, s175)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.10 tff(35142,plain,
% 5.62/5.10 (m_main_v_state(s175, c_busy)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[35141, 35131, 32872])).
% 5.62/5.10 tff(35143,plain,
% 5.62/5.10 (trans(s199, s165)),
% 5.62/5.10 inference(unit_resolution,[status(thm)],[34960, 26503, 34954, 13665, 33825, 13664, 33810, 13485, 13659, 13658, 13640, 33932, 13655, 13654, 13625, 13598, 13651, 13650, 13486, 13484, 13647, 13646, 13645, 13629, 13643, 13519, 13641, 13584, 13639, 13638, 13637, 13636, 13635, 13558, 13633, 13632, 13631, 13663, 13487, 13628, 13627, 13626, 13524, 13624, 13522, 13622, 13523, 13620, 13619, 13439, 13617, 13616, 13615, 13618, 13607, 13516, 13586, 13520, 13609, 13608, 13644, 13606, 13605, 13604, 13603, 13648, 13601, 13656, 13621, 13652, 13597, 13634, 13599, 13594, 13630, 13592, 13591, 13590, 13589, 13588, 13587, 13492, 25539, 13436, 13583, 13582, 13581, 13505, 13579, 13596, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13642, 13567, 13566, 13565, 13564, 13537, 13562, 13561, 13595, 13559, 13602, 13613, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 13538, 13536, 13531, 13534, 33934, 13532, 13560, 13530, 13661, 13535, 13527, 13526, 13525, 13568, 13518, 13515, 13514, 13513, 13512, 13511, 13539, 13508, 13529, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13497, 13493, 13496, 13490, 13489, 34301, 13528, 13662, 13585, 33933, 26505, 13440, 13438, 13437, 13521, 13435, 13434, 13433, 13533, 33935, 13378])).
% 5.62/5.11 tff(35144,plain,
% 5.62/5.11 (always3(s165)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25844, 35143])).
% 5.62/5.11 tff(35145,plain,
% 5.62/5.11 (always3(s166)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[4082, 35144])).
% 5.62/5.11 tff(35146,plain,
% 5.62/5.11 (always3(s167)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[4070, 35145])).
% 5.62/5.11 tff(35147,plain,
% 5.62/5.11 ($false),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[4058, 35146, 26493])).
% 5.62/5.11 tff(35148,plain,(always3(s175) | trans(s199, s196) | trans(s199, s63) | trans(s199, s185) | trans(s199, s61) | trans(s199, s184) | trans(s199, s190) | trans(s199, s100) | trans(s199, s83) | trans(s199, s168) | trans(s199, s189) | trans(s199, s50) | trans(s199, s87) | trans(s199, s176) | trans(s199, s0) | trans(s199, s39) | trans(s199, s13) | trans(s199, s182) | trans(s199, s192) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s167) | trans(s199, s103) | trans(s199, s187) | trans(s199, s78) | trans(s199, s186) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s188) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s171) | trans(s199, s183) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s180) | trans(s199, s28) | trans(s199, s177) | trans(s199, s47) | trans(s199, s179) | trans(s199, s106) | trans(s199, s91) | trans(s199, s178) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s169) | trans(s199, s172) | trans(s199, s174) | trans(s199, s170) | trans(s199, s181) | trans(s199, s20) | trans(s199, s44) | trans(s199, s111) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s109) | trans(s199, s113) | trans(s199, s117) | trans(s199, s115) | trans(s199, s2) | trans(s199, s74) | trans(s199, s166) | trans(s199, s125) | trans(s199, s65) | trans(s199, s124) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s148) | always3(s146) | trans(s199, s147) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s155) | trans(s199, s69) | trans(s199, s151) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s152) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s161) | trans(s199, s59) | trans(s199, s116) | trans(s199, s160) | trans(s199, s31) | trans(s199, s121) | trans(s199, s163) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s123) | trans(s199, s164) | trans(s199, s153) | trans(s199, s150) | trans(s199, s94) | trans(s199, s197) | trans(s199, s68) | trans(s199, s158) | trans(s199, s35) | trans(s199, s154) | trans(s199, s19) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s149) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s118) | trans(s199, s37) | trans(s199, s157) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s162) | trans(s199, s38) | trans(s199, s120) | trans(s199, s46) | trans(s199, s108) | trans(s199, s195) | trans(s199, s191) | trans(s199, s36) | trans(s199, s199) | trans(s199, s194) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s156) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s198) | trans(s199, s193) | trans(s199, s5)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.11 tff(35149,plain,
% 5.62/5.11 (always3(s175)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[35148, 35123, 13665, 34910, 13664, 34895, 34880, 13659, 13658, 34865, 34349, 13655, 13654, 34850, 13598, 13651, 13650, 34835, 34327, 13647, 13646, 13645, 35104, 13643, 34820, 13641, 34805, 13639, 13638, 13637, 13636, 13635, 34790, 13633, 13632, 13631, 35086, 34775, 13628, 13627, 13626, 34760, 13624, 34745, 13622, 35070, 13620, 13619, 34730, 13617, 13616, 13615, 34716, 34701, 34686, 34671, 35049, 13609, 13608, 13644, 13606, 13605, 13604, 13603, 13648, 13601, 13656, 13621, 13652, 13597, 34656, 13599, 13594, 13630, 13592, 13591, 13590, 13589, 13588, 13587, 34911, 33264, 34641, 13583, 13582, 13581, 33322, 13579, 13596, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 33309, 13567, 13566, 13565, 13564, 13537, 13562, 13561, 34423, 13559, 13602, 34365, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 34409, 13536, 13531, 13534, 34582, 13532, 13560, 13530, 33295, 13535, 13527, 13526, 13525, 33337, 13518, 13515, 13514, 13513, 13512, 34395, 13539, 13508, 33280, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 34380, 13493, 13496, 13490, 13489, 34253, 34272, 13662, 34581, 34579, 13440, 13438, 13437, 13521, 13435, 13434, 13433, 34228, 35006, 13378])).
% 5.62/5.11 tff(35150,plain,
% 5.62/5.11 ($false),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[22998, 145, 35149, 35142])).
% 5.62/5.11 tff(35151,plain,(always3(s165) | (~m_main_v_request(s199)) | trans(s199, s63) | trans(s199, s61) | trans(s199, s100) | trans(s199, s83) | trans(s199, s50) | trans(s199, s87) | trans(s199, s0) | trans(s199, s39) | trans(s199, s13) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s111) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s109) | trans(s199, s113) | trans(s199, s117) | trans(s199, s115) | trans(s199, s2) | trans(s199, s74) | trans(s199, s125) | trans(s199, s65) | trans(s199, s124) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s151) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s161) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s121) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s123) | trans(s199, s153) | trans(s199, s150) | trans(s199, s94) | trans(s199, s68) | trans(s199, s158) | trans(s199, s35) | trans(s199, s19) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s118) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s120) | trans(s199, s46) | trans(s199, s108) | trans(s199, s36) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s156) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s133)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.11 tff(35152,plain,
% 5.62/5.11 (always3(s165)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[35151, 13623, 13665, 13664, 13659, 13658, 13655, 13654, 13598, 13651, 13650, 13647, 13646, 13645, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13627, 13626, 13624, 13622, 13620, 13619, 13617, 13616, 13615, 13609, 13608, 13644, 13606, 13605, 13604, 13603, 13648, 13601, 13656, 13621, 13652, 13597, 13599, 13594, 13630, 13592, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13579, 13596, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13537, 13562, 13561, 13559, 13602, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 13536, 13531, 13534, 13532, 13560, 13530, 13535, 13527, 13526, 13525, 13518, 13515, 13514, 13513, 13512, 13539, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13496, 13490, 13489, 13662, 13440, 13438, 13437, 13521, 13435, 13434, 13433, 13378, 32872])).
% 5.62/5.11 tff(35153,plain,
% 5.62/5.11 (always3(s166)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[4082, 35152])).
% 5.62/5.11 tff(35154,plain,
% 5.62/5.11 (always3(s167)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[4070, 35153])).
% 5.62/5.11 tff(35155,plain,
% 5.62/5.11 (always3(s168)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[4058, 35154])).
% 5.62/5.11 tff(35156,plain,
% 5.62/5.11 (always3(s169)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[4046, 35155])).
% 5.62/5.11 tff(35157,plain,
% 5.62/5.11 (always3(s170)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[4034, 35156])).
% 5.62/5.11 tff(35158,plain,
% 5.62/5.11 (always3(s171)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[4022, 35157])).
% 5.62/5.11 tff(35159,plain,
% 5.62/5.11 (always3(s172)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[4010, 35158])).
% 5.62/5.11 tff(35160,plain,
% 5.62/5.11 (always3(s173)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3998, 35159])).
% 5.62/5.11 tff(35161,plain,
% 5.62/5.11 (always3(s174)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3986, 35160])).
% 5.62/5.11 tff(35162,plain,
% 5.62/5.11 (always3(s175)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3973, 35161])).
% 5.62/5.11 tff(35163,plain,
% 5.62/5.11 (always3(s176)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3961, 35162])).
% 5.62/5.11 tff(35164,plain,
% 5.62/5.11 (always3(s177)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3949, 35163])).
% 5.62/5.11 tff(35165,plain,
% 5.62/5.11 (always3(s178)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3937, 35164])).
% 5.62/5.11 tff(35166,plain,
% 5.62/5.11 (always3(s179)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3925, 35165])).
% 5.62/5.11 tff(35167,plain,
% 5.62/5.11 (always3(s180)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3913, 35166])).
% 5.62/5.11 tff(35168,plain,
% 5.62/5.11 (always3(s181)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3901, 35167])).
% 5.62/5.11 tff(35169,plain,
% 5.62/5.11 (always3(s182)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3885, 35168])).
% 5.62/5.11 tff(35170,plain,
% 5.62/5.11 (always3(s183)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3873, 35169])).
% 5.62/5.11 tff(35171,plain,
% 5.62/5.11 (always3(s184)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3857, 35170])).
% 5.62/5.11 tff(35172,plain,
% 5.62/5.11 (always3(s185)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3845, 35171])).
% 5.62/5.11 tff(35173,plain,
% 5.62/5.11 (always3(s186)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3833, 35172])).
% 5.62/5.11 tff(35174,plain,
% 5.62/5.11 (always3(s187)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3821, 35173])).
% 5.62/5.11 tff(35175,plain,
% 5.62/5.11 (always3(s188)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3809, 35174])).
% 5.62/5.11 tff(35176,plain,
% 5.62/5.11 (always3(s189)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3760, 35175])).
% 5.62/5.11 tff(35177,plain,
% 5.62/5.11 (always3(s190)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3374, 35176])).
% 5.62/5.11 tff(35178,plain,
% 5.62/5.11 (always3(s191)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3362, 35177])).
% 5.62/5.11 tff(35179,plain,
% 5.62/5.11 (always3(s192)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3350, 35178])).
% 5.62/5.11 tff(35180,plain,
% 5.62/5.11 (always3(s193)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3338, 35179])).
% 5.62/5.11 tff(35181,plain,
% 5.62/5.11 (~m_main_v_state(s193, c_busy)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3629, 145, 35180])).
% 5.62/5.11 tff(35182,plain,
% 5.62/5.11 (~node2(s199, s193)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[34988, 35181, 32872])).
% 5.62/5.11 tff(35183,plain,
% 5.62/5.11 (~trans(s199, s193)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[34977, 35182])).
% 5.62/5.11 tff(35184,plain,
% 5.62/5.11 (always3(s194)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3326, 35180])).
% 5.62/5.11 tff(35185,plain,
% 5.62/5.11 (always3(s195)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3314, 35184])).
% 5.62/5.11 tff(35186,plain,
% 5.62/5.11 (always3(s196)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3302, 35185])).
% 5.62/5.11 tff(35187,plain,
% 5.62/5.11 (always3(s197)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3290, 35186])).
% 5.62/5.11 tff(35188,plain,
% 5.62/5.11 (always3(s198)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3278, 35187])).
% 5.62/5.11 tff(35189,plain,
% 5.62/5.11 (~m_main_v_state(s198, c_busy)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3576, 145, 35188])).
% 5.62/5.11 tff(35190,plain,
% 5.62/5.11 (~node2(s199, s198)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[34216, 35189, 32872])).
% 5.62/5.11 tff(35191,plain,
% 5.62/5.11 (~trans(s199, s198)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[34210, 35190])).
% 5.62/5.11 tff(35192,plain,
% 5.62/5.11 (~m_main_v_state(s195, c_busy)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3425, 145, 35185])).
% 5.62/5.11 tff(35193,plain,
% 5.62/5.11 (~node2(s199, s195)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[34264, 35192, 32872])).
% 5.62/5.11 tff(35194,plain,
% 5.62/5.11 (~trans(s199, s195)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[34271, 35193])).
% 5.62/5.11 tff(35195,plain,
% 5.62/5.11 (~m_main_v_state(s165, c_busy)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[8941, 145, 35152])).
% 5.62/5.11 tff(35196,assumption,(node2(s199, s165)), introduced(assumption)).
% 5.62/5.11 tff(35197,assumption,(~m_main_v_state(s165, c_busy)), introduced(assumption)).
% 5.62/5.11 tff(35198,plain,
% 5.62/5.11 (((~![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(s165, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s165)))),
% 5.62/5.11 inference(rewrite,[status(thm)],[])).
% 5.62/5.11 tff(35199,plain,
% 5.62/5.11 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s165)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s165, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s165)))),
% 5.62/5.11 inference(rewrite,[status(thm)],[])).
% 5.62/5.11 tff(35200,plain,
% 5.62/5.11 (((~![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(s199, c_ready)) | (~node2(s199, s165)) | m_main_v_state(s165, 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(s165, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s165))))),
% 5.62/5.11 inference(monotonicity,[status(thm)],[35199])).
% 5.62/5.11 tff(35201,plain,
% 5.62/5.11 (((~![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(s199, c_ready)) | (~node2(s199, s165)) | m_main_v_state(s165, 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(s165, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s165)))),
% 5.62/5.11 inference(transitivity,[status(thm)],[35200, 35198])).
% 5.62/5.11 tff(35202,plain,
% 5.62/5.11 ((~![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(s199, c_ready)) | (~node2(s199, s165)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s199)))),
% 5.62/5.11 inference(quant_inst,[status(thm)],[])).
% 5.62/5.11 tff(35203,plain,
% 5.62/5.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s165, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s165))),
% 5.62/5.11 inference(modus_ponens,[status(thm)],[35202, 35201])).
% 5.62/5.11 tff(35204,plain,
% 5.62/5.11 ($false),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[35203, 166, 35197, 32885, 32872, 35196])).
% 5.62/5.11 tff(35205,plain,((~node2(s199, s165)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.11 tff(35206,plain,
% 5.62/5.11 (~node2(s199, s165)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[35205, 35195, 32872])).
% 5.62/5.11 tff(35207,assumption,(~node2(s199, s165)), introduced(assumption)).
% 5.62/5.11 tff(35208,plain,
% 5.62/5.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s165)) | node2(s199, s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s165)) | node2(s199, s165))),
% 5.62/5.11 inference(rewrite,[status(thm)],[])).
% 5.62/5.11 tff(35209,plain,
% 5.62/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s165)) | node2(s199, s165))),
% 5.62/5.11 inference(quant_inst,[status(thm)],[])).
% 5.62/5.11 tff(35210,plain,
% 5.62/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s165)) | node2(s199, s165)),
% 5.62/5.11 inference(modus_ponens,[status(thm)],[35209, 35208])).
% 5.62/5.11 tff(35211,plain,
% 5.62/5.11 ($false),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[35210, 11639, 7, 35207])).
% 5.62/5.11 tff(35212,plain,((~trans(s199, s165)) | node2(s199, s165)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.11 tff(35213,plain,
% 5.62/5.11 (~trans(s199, s165)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[35212, 35206])).
% 5.62/5.11 tff(35214,plain,
% 5.62/5.11 (~m_main_v_state(s191, c_busy)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[3693, 145, 35178])).
% 5.62/5.11 tff(35215,plain,
% 5.62/5.11 (~node2(s199, s191)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[35115, 35214, 32872])).
% 5.62/5.11 tff(35216,plain,
% 5.62/5.11 (~trans(s199, s191)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[35122, 35215])).
% 5.62/5.11 tff(35217,plain,
% 5.62/5.11 (~m_main_v_state(s175, c_busy)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[22998, 145, 35162])).
% 5.62/5.11 tff(35218,plain,
% 5.62/5.11 (~node2(s199, s175)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[35141, 35217, 32872])).
% 5.62/5.11 tff(35219,plain,
% 5.62/5.11 (~trans(s199, s175)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[35130, 35218])).
% 5.62/5.11 tff(35220,plain,
% 5.62/5.11 (~trans(s199, s129)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25001, 18877])).
% 5.62/5.11 tff(35221,plain,
% 5.62/5.11 (~trans(s199, s131)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[24981, 18875])).
% 5.62/5.11 tff(35222,plain,
% 5.62/5.11 (~trans(s199, s130)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[24930, 18876])).
% 5.62/5.11 tff(35223,plain,
% 5.62/5.11 (~trans(s199, s132)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[24951, 19570])).
% 5.62/5.11 tff(35224,plain,
% 5.62/5.11 (~trans(s199, s129)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25001, 19573])).
% 5.62/5.11 tff(35225,plain,
% 5.62/5.11 (~trans(s199, s130)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[24930, 19572])).
% 5.62/5.11 tff(35226,plain,
% 5.62/5.11 (~trans(s199, s131)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[24981, 19571])).
% 5.62/5.11 tff(35227,plain,
% 5.62/5.11 (~trans(s199, s128)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[24941, 19574])).
% 5.62/5.11 tff(35228,plain,
% 5.62/5.11 (~trans(s199, s133)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25063, 19569])).
% 5.62/5.11 tff(35229,plain,
% 5.62/5.11 (~always3(s137)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5151, 25426])).
% 5.62/5.11 tff(35230,plain,
% 5.62/5.11 (~always3(s136)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5180, 35229])).
% 5.62/5.11 tff(35231,plain,
% 5.62/5.11 (~always3(s135)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5209, 35230])).
% 5.62/5.11 tff(35232,plain,
% 5.62/5.11 (~always3(s134)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5238, 35231])).
% 5.62/5.11 tff(35233,plain,
% 5.62/5.11 (~always3(s133)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5267, 35232])).
% 5.62/5.11 tff(35234,plain,
% 5.62/5.11 (~always3(s132)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5296, 35233])).
% 5.62/5.11 tff(35235,plain,
% 5.62/5.11 (~always3(s131)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5325, 35234])).
% 5.62/5.11 tff(35236,plain,
% 5.62/5.11 (~always3(s130)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5354, 35235])).
% 5.62/5.11 tff(35237,plain,
% 5.62/5.11 (~always3(s129)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5383, 35236])).
% 5.62/5.11 tff(35238,plain,
% 5.62/5.11 (~always3(s128)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5412, 35237])).
% 5.62/5.11 tff(35239,plain,
% 5.62/5.11 (~trans(s199, s128)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[24941, 35238])).
% 5.62/5.11 tff(35240,plain,
% 5.62/5.11 (~trans(s199, s129)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25001, 35237])).
% 5.62/5.11 tff(35241,plain,
% 5.62/5.11 (~trans(s199, s130)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[24930, 35236])).
% 5.62/5.11 tff(35242,plain,
% 5.62/5.11 (~trans(s199, s131)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[24981, 35235])).
% 5.62/5.11 tff(35243,plain,
% 5.62/5.11 (~trans(s199, s132)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[24951, 35234])).
% 5.62/5.11 tff(35244,plain,
% 5.62/5.11 (~trans(s199, s133)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25063, 35233])).
% 5.62/5.11 tff(35245,plain,
% 5.62/5.11 (~trans(s199, s135)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25496, 35231])).
% 5.62/5.11 tff(35246,plain,
% 5.62/5.11 (~trans(s199, s134)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25465, 35232])).
% 5.62/5.11 tff(35247,plain,
% 5.62/5.11 (~trans(s199, s138)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25435, 25426])).
% 5.62/5.11 tff(35248,plain,
% 5.62/5.11 (~always3(s142)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5006, 26031])).
% 5.62/5.11 tff(35249,plain,
% 5.62/5.11 (~always3(s141)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5035, 35248])).
% 5.62/5.11 tff(35250,plain,
% 5.62/5.11 (~always3(s140)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5064, 35249])).
% 5.62/5.11 tff(35251,plain,
% 5.62/5.11 (~always3(s139)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5093, 35250])).
% 5.62/5.11 tff(35252,plain,
% 5.62/5.11 (~always3(s138)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5122, 35251])).
% 5.62/5.11 tff(35253,plain,
% 5.62/5.11 (~always3(s137)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5151, 35252])).
% 5.62/5.11 tff(35254,plain,
% 5.62/5.11 (~always3(s136)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5180, 35253])).
% 5.62/5.11 tff(35255,plain,
% 5.62/5.11 (~always3(s135)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5209, 35254])).
% 5.62/5.11 tff(35256,plain,
% 5.62/5.11 (~always3(s134)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5238, 35255])).
% 5.62/5.11 tff(35257,plain,
% 5.62/5.11 (~always3(s133)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5267, 35256])).
% 5.62/5.11 tff(35258,plain,
% 5.62/5.11 (~always3(s132)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5296, 35257])).
% 5.62/5.11 tff(35259,plain,
% 5.62/5.11 (~always3(s131)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5325, 35258])).
% 5.62/5.11 tff(35260,plain,
% 5.62/5.11 (~always3(s130)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5354, 35259])).
% 5.62/5.11 tff(35261,plain,
% 5.62/5.11 (~always3(s129)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5383, 35260])).
% 5.62/5.11 tff(35262,plain,
% 5.62/5.11 (~always3(s128)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5412, 35261])).
% 5.62/5.11 tff(35263,plain,
% 5.62/5.11 (~trans(s199, s128)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[24941, 35262])).
% 5.62/5.11 tff(35264,plain,
% 5.62/5.11 (~trans(s199, s129)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25001, 35261])).
% 5.62/5.11 tff(35265,plain,
% 5.62/5.11 (~trans(s199, s130)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[24930, 35260])).
% 5.62/5.11 tff(35266,plain,
% 5.62/5.11 (~trans(s199, s138)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25435, 35252])).
% 5.62/5.11 tff(35267,plain,
% 5.62/5.11 (~trans(s199, s132)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[24951, 35258])).
% 5.62/5.11 tff(35268,plain,
% 5.62/5.11 (~trans(s199, s140)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25455, 35250])).
% 5.62/5.11 tff(35269,plain,
% 5.62/5.11 (~trans(s199, s131)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[24981, 35259])).
% 5.62/5.11 tff(35270,plain,
% 5.62/5.11 (~trans(s199, s134)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25465, 35256])).
% 5.62/5.11 tff(35271,plain,
% 5.62/5.11 (~trans(s199, s136)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25485, 35254])).
% 5.62/5.11 tff(35272,plain,
% 5.62/5.11 (~trans(s199, s133)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25063, 35257])).
% 5.62/5.11 tff(35273,plain,
% 5.62/5.11 (~trans(s199, s137)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25475, 35253])).
% 5.62/5.11 tff(35274,plain,
% 5.62/5.11 (~trans(s199, s135)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25496, 35255])).
% 5.62/5.11 tff(35275,plain,
% 5.62/5.11 (~trans(s199, s143)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[26040, 26031])).
% 5.62/5.11 tff(35276,plain,
% 5.62/5.11 (~always3(s127)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5436, 35262])).
% 5.62/5.11 tff(35277,plain,
% 5.62/5.11 (~trans(s199, s127)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25022, 35276])).
% 5.62/5.11 tff(35278,plain,
% 5.62/5.11 (~always3(s126)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[5448, 35276])).
% 5.62/5.11 tff(35279,plain,
% 5.62/5.11 (~trans(s199, s126)),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[25012, 35278])).
% 5.62/5.11 tff(35280,plain,
% 5.62/5.11 ($false),
% 5.62/5.11 inference(unit_resolution,[status(thm)],[34970, 35279, 35277, 13539, 13665, 13664, 13659, 13658, 13656, 13655, 13654, 13598, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13523, 13609, 13608, 13520, 13606, 13605, 13604, 13603, 13602, 13601, 13666, 13599, 13652, 13597, 13629, 13594, 13663, 13592, 13591, 13590, 13589, 13588, 13587, 13509, 13484, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 34564, 13562, 13561, 34549, 13559, 13505, 13537, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 13595, 13536, 13531, 13596, 13534, 13532, 13642, 13530, 13538, 13535, 13527, 13526, 13525, 13661, 13560, 13613, 13568, 13492, 35275, 13518, 35274, 35273, 13515, 13514, 13513, 13512, 13511, 35272, 13533, 13508, 13529, 13506, 35271, 13504, 13503, 13502, 13501, 13500, 35270, 13498, 13497, 35269, 35268, 32872, 13493, 35267, 13496, 13490, 13489, 35266, 34301, 35265, 33935, 13662, 35264, 13612, 13440, 35263, 13438, 13437, 13521, 13435, 13434, 13433, 33932, 13528, 13378])).
% 5.62/5.11 tff(35281,plain,(always3(s143) | trans(s199, s118) | trans(s199, s63) | trans(s199, s61) | trans(s199, s100) | trans(s199, s83) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s0) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s179) | trans(s199, s20) | trans(s199, s44) | trans(s199, s181) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s175) | trans(s199, s125) | trans(s199, s2) | trans(s199, s74) | trans(s199, s167) | trans(s199, s65) | trans(s199, s171) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s165) | trans(s199, s192) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s155) | trans(s199, s161) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s123) | trans(s199, s160) | trans(s199, s153) | trans(s199, s150) | trans(s199, s151) | trans(s199, s94) | trans(s199, s68) | trans(s199, s152) | trans(s199, s35) | trans(s199, s164) | trans(s199, s19) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s154) | trans(s199, s158) | trans(s199, s163) | trans(s199, s149) | trans(s199, s148) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s198) | trans(s199, s37) | trans(s199, s157) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s162) | (~m_main_v_request(s199)) | trans(s199, s38) | trans(s199, s120) | trans(s199, s46) | trans(s199, s108) | trans(s199, s195) | trans(s199, s193) | trans(s199, s36) | trans(s199, s173) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s156) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s189) | trans(s199, s191) | trans(s199, s5)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.12 tff(35282,plain,
% 5.62/5.12 (always3(s143)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[35281, 13492, 13665, 13664, 13659, 13658, 13656, 13655, 13654, 13598, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13523, 13609, 13608, 13520, 13606, 13605, 13604, 13603, 13602, 13601, 13666, 13599, 13652, 13597, 13629, 13594, 13663, 13592, 13591, 13590, 13589, 13588, 13587, 13509, 13484, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13505, 13537, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 13595, 13536, 13531, 13596, 13534, 13532, 13642, 13530, 13538, 13535, 13527, 13526, 13525, 13661, 13560, 13539, 13568, 13613, 13518, 13515, 13514, 13513, 13512, 13511, 13533, 13508, 13529, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13497, 32872, 13493, 13496, 13490, 13489, 34301, 33935, 13662, 13612, 13440, 13438, 13437, 13521, 13435, 13434, 13433, 33932, 13528, 13378])).
% 5.62/5.12 tff(35283,plain,
% 5.62/5.12 (~m_main_v_state(s143, c_busy)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[20908, 145, 35282])).
% 5.62/5.12 tff(35284,assumption,(node2(s199, s143)), introduced(assumption)).
% 5.62/5.12 tff(35285,plain,
% 5.62/5.12 (((~![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(s143, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s143)))),
% 5.62/5.12 inference(rewrite,[status(thm)],[])).
% 5.62/5.12 tff(35286,plain,
% 5.62/5.12 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s143)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s143, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s143)))),
% 5.62/5.12 inference(rewrite,[status(thm)],[])).
% 5.62/5.12 tff(35287,plain,
% 5.62/5.12 (((~![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(s199, c_ready)) | (~node2(s199, s143)) | m_main_v_state(s143, 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(s143, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s143))))),
% 5.62/5.12 inference(monotonicity,[status(thm)],[35286])).
% 5.62/5.12 tff(35288,plain,
% 5.62/5.12 (((~![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(s199, c_ready)) | (~node2(s199, s143)) | m_main_v_state(s143, 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(s143, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s143)))),
% 5.62/5.12 inference(transitivity,[status(thm)],[35287, 35285])).
% 5.62/5.12 tff(35289,plain,
% 5.62/5.12 ((~![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(s199, c_ready)) | (~node2(s199, s143)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s199)))),
% 5.62/5.12 inference(quant_inst,[status(thm)],[])).
% 5.62/5.12 tff(35290,plain,
% 5.62/5.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s143, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s143))),
% 5.62/5.12 inference(modus_ponens,[status(thm)],[35289, 35288])).
% 5.62/5.12 tff(35291,plain,
% 5.62/5.12 ($false),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[35290, 166, 23706, 32885, 32872, 35284])).
% 5.62/5.12 tff(35292,plain,((~node2(s199, s143)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.12 tff(35293,plain,
% 5.62/5.12 (~node2(s199, s143)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[35292, 35283, 32872])).
% 5.62/5.12 tff(35294,assumption,(~node2(s199, s143)), introduced(assumption)).
% 5.62/5.12 tff(35295,plain,
% 5.62/5.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s143)) | node2(s199, s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s143)) | node2(s199, s143))),
% 5.62/5.12 inference(rewrite,[status(thm)],[])).
% 5.62/5.12 tff(35296,plain,
% 5.62/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s143)) | node2(s199, s143))),
% 5.62/5.12 inference(quant_inst,[status(thm)],[])).
% 5.62/5.12 tff(35297,plain,
% 5.62/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s143)) | node2(s199, s143)),
% 5.62/5.12 inference(modus_ponens,[status(thm)],[35296, 35295])).
% 5.62/5.12 tff(35298,plain,
% 5.62/5.12 ($false),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[35297, 11617, 7, 35294])).
% 5.62/5.12 tff(35299,plain,((~trans(s199, s143)) | node2(s199, s143)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.12 tff(35300,plain,
% 5.62/5.12 (~trans(s199, s143)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[35299, 35293])).
% 5.62/5.12 tff(35301,plain,
% 5.62/5.12 (~always3(s127)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[5436, 35238])).
% 5.62/5.12 tff(35302,plain,
% 5.62/5.12 (~trans(s199, s127)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[25022, 35301])).
% 5.62/5.12 tff(35303,plain,
% 5.62/5.12 (~always3(s126)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[5448, 35301])).
% 5.62/5.12 tff(35304,plain,
% 5.62/5.12 (~trans(s199, s126)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[25012, 35303])).
% 5.62/5.12 tff(35305,plain,
% 5.62/5.12 ($false),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[34970, 35304, 35302, 13539, 13665, 13664, 13659, 13658, 13656, 13655, 13654, 13598, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13523, 13609, 13608, 13520, 13606, 13605, 13604, 13603, 13602, 13601, 13666, 13599, 13652, 13597, 13629, 13594, 13663, 13592, 13591, 13590, 13589, 13588, 13587, 13509, 13484, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 34564, 13562, 13561, 34549, 13559, 34535, 34522, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 34509, 13505, 13531, 13536, 13534, 13532, 13537, 13530, 13595, 13535, 13527, 13526, 13525, 13596, 13642, 13538, 13661, 13560, 13568, 13518, 13613, 13492, 13515, 13514, 13513, 13512, 13511, 35300, 13533, 13508, 13529, 13506, 35247, 13504, 13503, 13502, 13501, 13500, 35246, 13498, 13497, 35245, 35244, 32872, 13493, 35243, 13496, 13490, 13489, 35242, 34301, 35241, 33935, 13662, 35240, 13612, 13440, 35239, 13438, 13437, 13521, 13435, 13434, 13433, 33932, 13528, 13378])).
% 5.62/5.12 tff(35306,plain,(always3(s138) | trans(s199, s118) | trans(s199, s63) | trans(s199, s61) | trans(s199, s100) | trans(s199, s83) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s0) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s179) | trans(s199, s20) | trans(s199, s44) | trans(s199, s181) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s175) | trans(s199, s125) | trans(s199, s2) | trans(s199, s74) | trans(s199, s167) | trans(s199, s65) | trans(s199, s171) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s165) | trans(s199, s192) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s123) | trans(s199, s155) | trans(s199, s150) | trans(s199, s153) | trans(s199, s94) | trans(s199, s68) | trans(s199, s161) | trans(s199, s35) | trans(s199, s160) | trans(s199, s19) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s151) | trans(s199, s152) | trans(s199, s164) | trans(s199, s154) | trans(s199, s158) | trans(s199, s149) | trans(s199, s84) | trans(s199, s163) | trans(s199, s148) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s198) | trans(s199, s37) | trans(s199, s157) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s162) | (~m_main_v_request(s199)) | trans(s199, s38) | trans(s199, s120) | trans(s199, s46) | trans(s199, s108) | trans(s199, s195) | trans(s199, s193) | trans(s199, s36) | trans(s199, s173) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s156) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s189) | trans(s199, s191) | trans(s199, s5)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.12 tff(35307,plain,
% 5.62/5.12 (always3(s138)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[35306, 13492, 13665, 13664, 13659, 13658, 13656, 13655, 13654, 13598, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13523, 13609, 13608, 13520, 13606, 13605, 13604, 13603, 13602, 13601, 13666, 13599, 13652, 13597, 13629, 13594, 13663, 13592, 13591, 13590, 13589, 13588, 13587, 13509, 13484, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 13505, 13531, 13536, 13534, 13532, 13537, 13530, 13595, 13535, 13527, 13526, 13525, 13596, 13642, 13538, 13661, 13560, 13568, 13518, 13539, 13613, 13515, 13514, 13513, 13512, 13511, 13533, 13508, 13529, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13497, 32872, 13493, 13496, 13490, 13489, 34301, 33935, 13662, 13612, 13440, 13438, 13437, 13521, 13435, 13434, 13433, 33932, 13528, 13378])).
% 5.62/5.12 tff(35308,plain,
% 5.62/5.12 (~m_main_v_state(s138, c_busy)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[20127, 145, 35307])).
% 5.62/5.12 tff(35309,assumption,(node2(s199, s138)), introduced(assumption)).
% 5.62/5.12 tff(35310,plain,
% 5.62/5.12 (((~![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(s138, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s138)))),
% 5.62/5.12 inference(rewrite,[status(thm)],[])).
% 5.62/5.12 tff(35311,plain,
% 5.62/5.12 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s138)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s138, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s138)))),
% 5.62/5.12 inference(rewrite,[status(thm)],[])).
% 5.62/5.12 tff(35312,plain,
% 5.62/5.12 (((~![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(s199, c_ready)) | (~node2(s199, s138)) | m_main_v_state(s138, 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(s138, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s138))))),
% 5.62/5.12 inference(monotonicity,[status(thm)],[35311])).
% 5.62/5.12 tff(35313,plain,
% 5.62/5.12 (((~![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(s199, c_ready)) | (~node2(s199, s138)) | m_main_v_state(s138, 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(s138, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s138)))),
% 5.62/5.12 inference(transitivity,[status(thm)],[35312, 35310])).
% 5.62/5.12 tff(35314,plain,
% 5.62/5.12 ((~![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(s199, c_ready)) | (~node2(s199, s138)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s199)))),
% 5.62/5.12 inference(quant_inst,[status(thm)],[])).
% 5.62/5.12 tff(35315,plain,
% 5.62/5.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s138, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s138))),
% 5.62/5.12 inference(modus_ponens,[status(thm)],[35314, 35313])).
% 5.62/5.12 tff(35316,plain,
% 5.62/5.12 ($false),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[35315, 166, 31329, 32885, 32872, 35309])).
% 5.62/5.12 tff(35317,plain,((~node2(s199, s138)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.12 tff(35318,plain,
% 5.62/5.12 (~node2(s199, s138)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[35317, 35308, 32872])).
% 5.62/5.12 tff(35319,assumption,(~node2(s199, s138)), introduced(assumption)).
% 5.62/5.12 tff(35320,plain,
% 5.62/5.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s138)) | node2(s199, s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s138)) | node2(s199, s138))),
% 5.62/5.12 inference(rewrite,[status(thm)],[])).
% 5.62/5.12 tff(35321,plain,
% 5.62/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s138)) | node2(s199, s138))),
% 5.62/5.12 inference(quant_inst,[status(thm)],[])).
% 5.62/5.12 tff(35322,plain,
% 5.62/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s138)) | node2(s199, s138)),
% 5.62/5.12 inference(modus_ponens,[status(thm)],[35321, 35320])).
% 5.62/5.12 tff(35323,plain,
% 5.62/5.12 ($false),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[35322, 11485, 7, 35319])).
% 5.62/5.12 tff(35324,plain,((~trans(s199, s138)) | node2(s199, s138)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.12 tff(35325,plain,
% 5.62/5.12 (~trans(s199, s138)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[35324, 35318])).
% 5.62/5.12 tff(35326,plain,
% 5.62/5.12 (~always3(s134)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[5238, 25487])).
% 5.62/5.12 tff(35327,plain,
% 5.62/5.12 (~always3(s133)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[5267, 35326])).
% 5.62/5.12 tff(35328,plain,
% 5.62/5.12 (~always3(s132)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[5296, 35327])).
% 5.62/5.12 tff(35329,plain,
% 5.62/5.12 (~always3(s131)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[5325, 35328])).
% 5.62/5.12 tff(35330,plain,
% 5.62/5.12 (~always3(s130)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[5354, 35329])).
% 5.62/5.12 tff(35331,plain,
% 5.62/5.12 (~always3(s129)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[5383, 35330])).
% 5.62/5.12 tff(35332,plain,
% 5.62/5.12 (~always3(s128)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[5412, 35331])).
% 5.62/5.12 tff(35333,plain,
% 5.62/5.12 (~trans(s199, s128)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[24941, 35332])).
% 5.62/5.12 tff(35334,plain,
% 5.62/5.12 (~trans(s199, s129)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[25001, 35331])).
% 5.62/5.12 tff(35335,plain,
% 5.62/5.12 (~trans(s199, s130)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[24930, 35330])).
% 5.62/5.12 tff(35336,plain,
% 5.62/5.12 (~trans(s199, s131)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[24981, 35329])).
% 5.62/5.12 tff(35337,plain,
% 5.62/5.12 (~trans(s199, s132)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[24951, 35328])).
% 5.62/5.12 tff(35338,plain,
% 5.62/5.12 (~trans(s199, s133)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[25063, 35327])).
% 5.62/5.12 tff(35339,plain,
% 5.62/5.12 (~trans(s199, s135)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[25496, 25487])).
% 5.62/5.12 tff(35340,plain,
% 5.62/5.12 (~trans(s199, s134)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[25465, 35326])).
% 5.62/5.12 tff(35341,plain,
% 5.62/5.12 (always3(s138)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[35306, 13613, 13665, 13664, 13659, 13658, 13656, 13655, 13654, 13598, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13523, 13609, 13608, 13520, 13606, 13605, 13604, 13603, 13602, 13601, 13666, 13599, 13652, 13597, 13629, 13594, 13663, 13592, 13591, 13590, 13589, 13588, 13587, 13509, 13484, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 13505, 13531, 13536, 13534, 13532, 13537, 13530, 13595, 13535, 13527, 13526, 13525, 13596, 13642, 13538, 13661, 13560, 13568, 13518, 13539, 13492, 13515, 13514, 13513, 13512, 13511, 13533, 13508, 13529, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13497, 32872, 13493, 13496, 13490, 13489, 34301, 33935, 13662, 13612, 13440, 13438, 13437, 13521, 13435, 13434, 13433, 33932, 13528, 13378])).
% 5.62/5.12 tff(35342,plain,
% 5.62/5.12 (~m_main_v_state(s138, c_busy)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[20127, 145, 35341])).
% 5.62/5.12 tff(35343,plain,
% 5.62/5.12 (~node2(s199, s138)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[35317, 35342, 32872])).
% 5.62/5.12 tff(35344,plain,
% 5.62/5.12 (~trans(s199, s138)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[35322, 7, 35343])).
% 5.62/5.12 tff(35345,plain,
% 5.62/5.12 (~always3(s127)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[5436, 35332])).
% 5.62/5.12 tff(35346,plain,
% 5.62/5.12 (~trans(s199, s127)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[25022, 35345])).
% 5.62/5.12 tff(35347,plain,
% 5.62/5.12 (~always3(s126)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[5448, 35345])).
% 5.62/5.12 tff(35348,plain,
% 5.62/5.12 (~trans(s199, s126)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[25012, 35347])).
% 5.62/5.12 tff(35349,plain,
% 5.62/5.12 ($false),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[34970, 35348, 35346, 13539, 13665, 13664, 13659, 13658, 13656, 13655, 13654, 13598, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13523, 13609, 13608, 13520, 13606, 13605, 13604, 13603, 13602, 13601, 13666, 13599, 13652, 13597, 13629, 13594, 13663, 13592, 13591, 13590, 13589, 13588, 13587, 13509, 13484, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 34564, 13562, 13561, 34549, 13559, 34535, 34522, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 34509, 13505, 13531, 13536, 13534, 13532, 13537, 13530, 13595, 13535, 13527, 13526, 13525, 13596, 13642, 13538, 13661, 13560, 13568, 13518, 13613, 13492, 13515, 13514, 13513, 13512, 13511, 35300, 13533, 13508, 13529, 13506, 35344, 13504, 13503, 13502, 13501, 13500, 35340, 13498, 13497, 35339, 35338, 32872, 13493, 35337, 13496, 13490, 13489, 35336, 34301, 35335, 33935, 13662, 35334, 13612, 13440, 35333, 13438, 13437, 13521, 13435, 13434, 13433, 33932, 13528, 13378])).
% 5.62/5.12 tff(35350,plain,(always3(s135) | trans(s199, s118) | trans(s199, s63) | trans(s199, s61) | trans(s199, s100) | trans(s199, s83) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s0) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s179) | trans(s199, s20) | trans(s199, s44) | trans(s199, s181) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s175) | trans(s199, s125) | trans(s199, s2) | trans(s199, s74) | trans(s199, s167) | trans(s199, s65) | trans(s199, s171) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s165) | trans(s199, s192) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s123) | trans(s199, s155) | trans(s199, s150) | trans(s199, s153) | trans(s199, s94) | trans(s199, s68) | trans(s199, s161) | trans(s199, s35) | trans(s199, s160) | trans(s199, s19) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s151) | trans(s199, s152) | trans(s199, s164) | trans(s199, s154) | trans(s199, s158) | trans(s199, s149) | trans(s199, s84) | trans(s199, s163) | trans(s199, s148) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s198) | trans(s199, s37) | trans(s199, s157) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s162) | (~m_main_v_request(s199)) | trans(s199, s38) | trans(s199, s120) | trans(s199, s46) | trans(s199, s108) | trans(s199, s195) | trans(s199, s193) | trans(s199, s36) | trans(s199, s173) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s156) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s189) | trans(s199, s191) | trans(s199, s5)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.12 tff(35351,plain,
% 5.62/5.12 (always3(s135)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[35350, 13492, 13665, 13664, 13659, 13658, 13656, 13655, 13654, 13598, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13523, 13609, 13608, 13520, 13606, 13605, 13604, 13603, 13602, 13601, 13666, 13599, 13652, 13597, 13629, 13594, 13663, 13592, 13591, 13590, 13589, 13588, 13587, 13509, 13484, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 13505, 13531, 13536, 13534, 13532, 13537, 13530, 13595, 13535, 13527, 13526, 13525, 13596, 13642, 13538, 13661, 13560, 13568, 13518, 13539, 13613, 13515, 13514, 13513, 13512, 13511, 13533, 13508, 13529, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13497, 32872, 13493, 13496, 13490, 13489, 34301, 33935, 13662, 13612, 13440, 13438, 13437, 13521, 13435, 13434, 13433, 33932, 13528, 13378])).
% 5.62/5.12 tff(35352,plain,
% 5.62/5.12 (~m_main_v_state(s135, c_busy)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[19541, 145, 35351])).
% 5.62/5.12 tff(35353,assumption,(node2(s199, s135)), introduced(assumption)).
% 5.62/5.12 tff(35354,plain,
% 5.62/5.12 (((~![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(s135, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s135)))),
% 5.62/5.12 inference(rewrite,[status(thm)],[])).
% 5.62/5.12 tff(35355,plain,
% 5.62/5.12 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s135)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s135, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s135)))),
% 5.62/5.12 inference(rewrite,[status(thm)],[])).
% 5.62/5.12 tff(35356,plain,
% 5.62/5.12 (((~![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(s199, c_ready)) | (~node2(s199, s135)) | m_main_v_state(s135, 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(s135, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s135))))),
% 5.62/5.12 inference(monotonicity,[status(thm)],[35355])).
% 5.62/5.12 tff(35357,plain,
% 5.62/5.12 (((~![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(s199, c_ready)) | (~node2(s199, s135)) | m_main_v_state(s135, 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(s135, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s135)))),
% 5.62/5.12 inference(transitivity,[status(thm)],[35356, 35354])).
% 5.62/5.12 tff(35358,plain,
% 5.62/5.12 ((~![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(s199, c_ready)) | (~node2(s199, s135)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s199)))),
% 5.62/5.12 inference(quant_inst,[status(thm)],[])).
% 5.62/5.12 tff(35359,plain,
% 5.62/5.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s135, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s135))),
% 5.62/5.12 inference(modus_ponens,[status(thm)],[35358, 35357])).
% 5.62/5.12 tff(35360,plain,
% 5.62/5.12 ($false),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[35359, 166, 31390, 32885, 32872, 35353])).
% 5.62/5.12 tff(35361,plain,((~node2(s199, s135)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.12 tff(35362,plain,
% 5.62/5.12 (~node2(s199, s135)),
% 5.62/5.12 inference(unit_resolution,[status(thm)],[35361, 35352, 32872])).
% 5.62/5.12 tff(35363,assumption,(~node2(s199, s135)), introduced(assumption)).
% 5.62/5.12 tff(35364,plain,
% 5.62/5.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s135)) | node2(s199, s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s135)) | node2(s199, s135))),
% 5.62/5.12 inference(rewrite,[status(thm)],[])).
% 5.62/5.12 tff(35365,plain,
% 5.62/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s135)) | node2(s199, s135))),
% 5.62/5.12 inference(quant_inst,[status(thm)],[])).
% 5.62/5.12 tff(35366,plain,
% 5.62/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s135)) | node2(s199, s135)),
% 5.62/5.12 inference(modus_ponens,[status(thm)],[35365, 35364])).
% 5.62/5.13 tff(35367,plain,
% 5.62/5.13 ($false),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[35366, 13267, 7, 35363])).
% 5.62/5.13 tff(35368,plain,((~trans(s199, s135)) | node2(s199, s135)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.13 tff(35369,plain,
% 5.62/5.13 (~trans(s199, s135)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[35368, 35362])).
% 5.62/5.13 tff(35370,plain,
% 5.62/5.13 (~trans(s199, s127)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[25022, 19575])).
% 5.62/5.13 tff(35371,plain,
% 5.62/5.13 (~trans(s199, s126)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[25012, 19576])).
% 5.62/5.13 tff(35372,plain,
% 5.62/5.13 ($false),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[34970, 35371, 35370, 13539, 13665, 13664, 13659, 13658, 13656, 13655, 13654, 13598, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13523, 13609, 13608, 13520, 13606, 13605, 13604, 13603, 13602, 13601, 13666, 13599, 13652, 13597, 13629, 13594, 13663, 13592, 13591, 13590, 13589, 13588, 13587, 13509, 13484, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 34564, 13562, 13561, 34549, 13559, 34535, 34522, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 34509, 34496, 13505, 13531, 13534, 13532, 13536, 13530, 13537, 13535, 13527, 13526, 13525, 13595, 13596, 13642, 13538, 13661, 13560, 13518, 13568, 13613, 13515, 13514, 13513, 13512, 13511, 13492, 13533, 13508, 13529, 13506, 35300, 13504, 13503, 13502, 13501, 13500, 35369, 13498, 13497, 35325, 35228, 32872, 13493, 35227, 13496, 13490, 13489, 35226, 34301, 35225, 33935, 13662, 35224, 13612, 13440, 35223, 13438, 13437, 13521, 13435, 13434, 13433, 33932, 13528, 13378])).
% 5.62/5.13 tff(35373,plain,(always3(s133) | trans(s199, s118) | trans(s199, s63) | trans(s199, s61) | trans(s199, s100) | trans(s199, s83) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s0) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s179) | trans(s199, s20) | trans(s199, s44) | trans(s199, s181) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s175) | trans(s199, s125) | trans(s199, s2) | trans(s199, s74) | trans(s199, s167) | trans(s199, s65) | trans(s199, s171) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s165) | trans(s199, s192) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s123) | trans(s199, s155) | trans(s199, s150) | trans(s199, s94) | trans(s199, s68) | trans(s199, s153) | trans(s199, s35) | trans(s199, s161) | trans(s199, s19) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s160) | trans(s199, s151) | trans(s199, s152) | trans(s199, s164) | trans(s199, s154) | trans(s199, s158) | trans(s199, s84) | trans(s199, s149) | trans(s199, s163) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s148) | trans(s199, s198) | trans(s199, s37) | trans(s199, s157) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s162) | (~m_main_v_request(s199)) | trans(s199, s38) | trans(s199, s120) | trans(s199, s46) | trans(s199, s108) | trans(s199, s195) | trans(s199, s193) | trans(s199, s36) | trans(s199, s173) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s156) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s189) | trans(s199, s191) | trans(s199, s5)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.13 tff(35374,plain,
% 5.62/5.13 (always3(s133)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[35373, 13492, 13665, 13664, 13659, 13658, 13656, 13655, 13654, 13598, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13523, 13609, 13608, 13520, 13606, 13605, 13604, 13603, 13602, 13601, 13666, 13599, 13652, 13597, 13629, 13594, 13663, 13592, 13591, 13590, 13589, 13588, 13587, 13509, 13484, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 13505, 13531, 13534, 13532, 13536, 13530, 13537, 13535, 13527, 13526, 13525, 13595, 13596, 13642, 13538, 13661, 13560, 13518, 13568, 13539, 13515, 13514, 13513, 13512, 13511, 13613, 13533, 13508, 13529, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13497, 32872, 13493, 13496, 13490, 13489, 34301, 33935, 13662, 13612, 13440, 13438, 13437, 13521, 13435, 13434, 13433, 33932, 13528, 13378])).
% 5.62/5.13 tff(35375,plain,
% 5.62/5.13 (~m_main_v_state(s133, c_busy)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[18860, 145, 35374])).
% 5.62/5.13 tff(35376,plain,
% 5.62/5.13 (~node2(s199, s133)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[33206, 35375, 32872])).
% 5.62/5.13 tff(35377,plain,
% 5.62/5.13 (~trans(s199, s133)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[33194, 7, 35376])).
% 5.62/5.13 tff(35378,plain,
% 5.62/5.13 (~trans(s199, s127)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[25022, 18879])).
% 5.62/5.13 tff(35379,plain,
% 5.62/5.13 (~trans(s199, s126)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[25012, 18880])).
% 5.62/5.13 tff(35380,plain,
% 5.62/5.13 ($false),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[34970, 35379, 35378, 13539, 13665, 13664, 13659, 13658, 13656, 13655, 13654, 13598, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13523, 13609, 13608, 13520, 13606, 13605, 13604, 13603, 13602, 13601, 13666, 13599, 13652, 13597, 13629, 13594, 13663, 13592, 13591, 13590, 13589, 13588, 13587, 13509, 13484, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 34564, 13562, 13561, 34549, 13559, 34535, 34522, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 34509, 34496, 34483, 34468, 13534, 13532, 13505, 13530, 13531, 13535, 13527, 13526, 13525, 13536, 13537, 13595, 13596, 13642, 13538, 13518, 13661, 13560, 13515, 13514, 13513, 13512, 13568, 13511, 13533, 13508, 13529, 13506, 13613, 13504, 13503, 13502, 13501, 13500, 13492, 13498, 13497, 35325, 35300, 32872, 13493, 35369, 13496, 13490, 13489, 35377, 34301, 35222, 33935, 13662, 35221, 13612, 13440, 35220, 13438, 13437, 13521, 13435, 13434, 13433, 33932, 13528, 13378])).
% 5.62/5.13 tff(35381,plain,(always3(s131) | trans(s199, s118) | trans(s199, s63) | trans(s199, s61) | trans(s199, s100) | trans(s199, s83) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s0) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s179) | trans(s199, s20) | trans(s199, s44) | trans(s199, s181) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s175) | trans(s199, s125) | trans(s199, s2) | trans(s199, s74) | trans(s199, s167) | trans(s199, s65) | trans(s199, s171) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s165) | trans(s199, s192) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s123) | trans(s199, s94) | trans(s199, s68) | trans(s199, s155) | trans(s199, s35) | trans(s199, s150) | trans(s199, s19) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s153) | trans(s199, s161) | trans(s199, s160) | trans(s199, s151) | trans(s199, s152) | trans(s199, s164) | trans(s199, s84) | trans(s199, s154) | trans(s199, s158) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s149) | trans(s199, s159) | trans(s199, s198) | trans(s199, s37) | trans(s199, s157) | trans(s199, s79) | trans(s199, s163) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s148) | trans(s199, s82) | trans(s199, s162) | (~m_main_v_request(s199)) | trans(s199, s38) | trans(s199, s120) | trans(s199, s46) | trans(s199, s108) | trans(s199, s195) | trans(s199, s193) | trans(s199, s36) | trans(s199, s173) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s156) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s189) | trans(s199, s191) | trans(s199, s5)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.13 tff(35382,plain,
% 5.62/5.13 (always3(s131)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[35381, 13492, 13665, 13664, 13659, 13658, 34349, 13655, 13654, 13598, 13651, 13650, 34327, 13647, 13646, 13645, 35104, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 35086, 13628, 13627, 13626, 13624, 13622, 35070, 13620, 13619, 13617, 13616, 13615, 35049, 13609, 13608, 35027, 13606, 13605, 13604, 13603, 13644, 13601, 13648, 13656, 13652, 13597, 13621, 13594, 13599, 13592, 13591, 13590, 13589, 13588, 13587, 13630, 35219, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 13534, 13532, 33322, 13530, 13531, 13535, 13527, 13526, 13525, 13536, 13537, 34423, 13596, 33309, 34409, 13518, 33295, 13560, 13515, 13514, 13513, 13512, 33337, 34395, 13602, 13508, 33280, 13506, 13539, 13504, 13503, 13502, 13501, 13500, 34365, 13498, 34380, 32872, 13493, 13496, 13490, 13489, 35216, 35213, 13662, 35194, 13440, 13438, 13437, 13521, 13435, 13434, 13433, 35191, 35183, 13378])).
% 5.62/5.13 tff(35383,plain,
% 5.62/5.13 (~m_main_v_state(s131, c_busy)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[18925, 145, 35382])).
% 5.62/5.13 tff(35384,assumption,(node2(s199, s131)), introduced(assumption)).
% 5.62/5.13 tff(35385,plain,
% 5.62/5.13 (((~![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(s131, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s131)))),
% 5.62/5.13 inference(rewrite,[status(thm)],[])).
% 5.62/5.13 tff(35386,plain,
% 5.62/5.13 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s131)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s131, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s131)))),
% 5.62/5.13 inference(rewrite,[status(thm)],[])).
% 5.62/5.13 tff(35387,plain,
% 5.62/5.13 (((~![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(s199, c_ready)) | (~node2(s199, s131)) | m_main_v_state(s131, 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(s131, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s131))))),
% 5.62/5.13 inference(monotonicity,[status(thm)],[35386])).
% 5.62/5.13 tff(35388,plain,
% 5.62/5.13 (((~![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(s199, c_ready)) | (~node2(s199, s131)) | m_main_v_state(s131, 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(s131, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s131)))),
% 5.62/5.13 inference(transitivity,[status(thm)],[35387, 35385])).
% 5.62/5.13 tff(35389,plain,
% 5.62/5.13 ((~![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(s199, c_ready)) | (~node2(s199, s131)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s199)))),
% 5.62/5.13 inference(quant_inst,[status(thm)],[])).
% 5.62/5.13 tff(35390,plain,
% 5.62/5.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s131, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s131))),
% 5.62/5.13 inference(modus_ponens,[status(thm)],[35389, 35388])).
% 5.62/5.13 tff(35391,plain,
% 5.62/5.13 ($false),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[35390, 166, 18927, 32885, 32872, 35384])).
% 5.62/5.13 tff(35392,plain,((~node2(s199, s131)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.13 tff(35393,plain,
% 5.62/5.13 (~node2(s199, s131)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[35392, 35383, 32872])).
% 5.62/5.13 tff(35394,plain,
% 5.62/5.13 (always3(s135)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[35350, 13492, 13665, 13664, 13659, 13658, 34349, 13655, 13654, 13598, 13651, 13650, 34327, 13647, 13646, 13645, 35104, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 35086, 13628, 13627, 13626, 13624, 13622, 35070, 13620, 13619, 13617, 13616, 13615, 35049, 13609, 13608, 35027, 13606, 13605, 13604, 13603, 13644, 13601, 13648, 13656, 13652, 13597, 13621, 13594, 13599, 13592, 13591, 13590, 13589, 13588, 13587, 13630, 35219, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 33322, 13531, 13536, 13534, 13532, 13537, 13530, 34423, 13535, 13527, 13526, 13525, 13596, 33309, 34409, 33295, 13560, 33337, 13518, 13602, 34365, 13515, 13514, 13513, 13512, 34395, 13539, 13508, 33280, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 34380, 32872, 13493, 13496, 13490, 13489, 35216, 35213, 13662, 35194, 13440, 13438, 13437, 13521, 13435, 13434, 13433, 35191, 35183, 13378])).
% 5.62/5.13 tff(35395,plain,
% 5.62/5.13 (~m_main_v_state(s135, c_busy)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[19541, 145, 35394])).
% 5.62/5.13 tff(35396,plain,
% 5.62/5.13 (~node2(s199, s135)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[35361, 35395, 32872])).
% 5.62/5.13 tff(35397,plain,
% 5.62/5.13 (~trans(s199, s135)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[35368, 35396])).
% 5.62/5.13 tff(35398,plain,
% 5.62/5.13 (always3(s143)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[35281, 13492, 13665, 13664, 13659, 13658, 34349, 13655, 13654, 13598, 13651, 13650, 34327, 13647, 13646, 13645, 35104, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 35086, 13628, 13627, 13626, 13624, 13622, 35070, 13620, 13619, 13617, 13616, 13615, 35049, 13609, 13608, 35027, 13606, 13605, 13604, 13603, 13644, 13601, 13648, 13656, 13652, 13597, 13621, 13594, 13599, 13592, 13591, 13590, 13589, 13588, 13587, 13630, 35219, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 33322, 13537, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 34423, 13536, 13531, 13596, 13534, 13532, 33309, 13530, 34409, 13535, 13527, 13526, 13525, 33295, 13560, 13602, 33337, 34365, 13518, 13515, 13514, 13513, 13512, 34395, 13539, 13508, 33280, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 34380, 32872, 13493, 13496, 13490, 13489, 35216, 35213, 13662, 35194, 13440, 13438, 13437, 13521, 13435, 13434, 13433, 35191, 35183, 13378])).
% 5.62/5.13 tff(35399,plain,
% 5.62/5.13 (~m_main_v_state(s143, c_busy)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[20908, 145, 35398])).
% 5.62/5.13 tff(35400,plain,
% 5.62/5.13 (~node2(s199, s143)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[35292, 35399, 32872])).
% 5.62/5.13 tff(35401,plain,
% 5.62/5.13 (~trans(s199, s143)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[35299, 35400])).
% 5.62/5.13 tff(35402,plain,
% 5.62/5.13 (~trans(s199, s129)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[25001, 18979])).
% 5.62/5.13 tff(35403,plain,
% 5.62/5.13 (always3(s131)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[35381, 13492, 13665, 13664, 13659, 13658, 13656, 13655, 13654, 13598, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13523, 13609, 13608, 13520, 13606, 13605, 13604, 13603, 13602, 13601, 13666, 13599, 13652, 13597, 13629, 13594, 13663, 13592, 13591, 13590, 13589, 13588, 13587, 13509, 13484, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 13534, 13532, 13505, 13530, 13531, 13535, 13527, 13526, 13525, 13536, 13537, 13595, 13596, 13642, 13538, 13518, 13661, 13560, 13515, 13514, 13513, 13512, 13568, 13511, 13533, 13508, 13529, 13506, 13539, 13504, 13503, 13502, 13501, 13500, 13613, 13498, 13497, 32872, 13493, 13496, 13490, 13489, 34301, 33935, 13662, 13612, 13440, 13438, 13437, 13521, 13435, 13434, 13433, 33932, 13528, 13378])).
% 5.62/5.13 tff(35404,plain,
% 5.62/5.13 (~m_main_v_state(s131, c_busy)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[18925, 145, 35403])).
% 5.62/5.13 tff(35405,plain,
% 5.62/5.13 (~node2(s199, s131)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[35392, 35404, 32872])).
% 5.62/5.13 tff(35406,plain,
% 5.62/5.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s131)) | node2(s199, s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s131)) | node2(s199, s131))),
% 5.62/5.13 inference(rewrite,[status(thm)],[])).
% 5.62/5.13 tff(35407,plain,
% 5.62/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s131)) | node2(s199, s131))),
% 5.62/5.13 inference(quant_inst,[status(thm)],[])).
% 5.62/5.13 tff(35408,plain,
% 5.62/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s131)) | node2(s199, s131)),
% 5.62/5.13 inference(modus_ponens,[status(thm)],[35407, 35406])).
% 5.62/5.13 tff(35409,plain,
% 5.62/5.13 (~trans(s199, s131)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[35408, 7, 35405])).
% 5.62/5.13 tff(35410,plain,
% 5.62/5.13 (~trans(s199, s133)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[33196, 35376])).
% 5.62/5.13 tff(35411,plain,
% 5.62/5.13 (~trans(s199, s127)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[25022, 18989])).
% 5.62/5.13 tff(35412,plain,
% 5.62/5.13 (~trans(s199, s126)),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[25012, 18994])).
% 5.62/5.13 tff(35413,plain,
% 5.62/5.13 ($false),
% 5.62/5.13 inference(unit_resolution,[status(thm)],[34970, 35412, 35411, 13539, 13665, 13664, 13659, 13658, 13656, 13655, 13654, 13598, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13523, 13609, 13608, 13520, 13606, 13605, 13604, 13603, 13602, 13601, 13666, 13599, 13652, 13597, 13629, 13594, 13663, 13592, 13591, 13590, 13589, 13588, 13587, 13509, 13484, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 34564, 13562, 13561, 34549, 13559, 34535, 34522, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 34509, 34496, 34483, 34468, 13534, 13532, 34453, 13530, 13505, 13535, 13527, 13526, 13525, 13531, 13536, 13537, 13595, 13596, 13642, 13518, 13538, 13661, 13515, 13514, 13513, 13512, 13560, 13568, 13533, 13508, 13511, 13506, 13529, 13504, 13503, 13502, 13501, 13500, 13613, 13498, 13497, 13492, 35300, 32872, 13493, 35369, 13496, 13490, 13489, 35325, 34301, 35410, 33935, 13662, 35409, 13612, 13440, 35402, 13438, 13437, 13521, 13435, 13434, 13433, 33932, 13528, 13378])).
% 5.62/5.13 tff(35414,plain,(always3(s129) | trans(s199, s118) | trans(s199, s63) | trans(s199, s61) | trans(s199, s100) | trans(s199, s83) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s0) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s179) | trans(s199, s20) | trans(s199, s44) | trans(s199, s181) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s175) | trans(s199, s125) | trans(s199, s2) | trans(s199, s74) | trans(s199, s167) | trans(s199, s65) | trans(s199, s171) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s165) | trans(s199, s192) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s123) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s155) | trans(s199, s19) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s150) | trans(s199, s153) | trans(s199, s161) | trans(s199, s160) | trans(s199, s151) | trans(s199, s152) | trans(s199, s84) | trans(s199, s164) | trans(s199, s154) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s158) | trans(s199, s149) | trans(s199, s198) | trans(s199, s37) | trans(s199, s159) | trans(s199, s79) | trans(s199, s157) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s163) | trans(s199, s82) | trans(s199, s162) | trans(s199, s148) | (~m_main_v_request(s199)) | trans(s199, s38) | trans(s199, s120) | trans(s199, s46) | trans(s199, s108) | trans(s199, s195) | trans(s199, s193) | trans(s199, s36) | trans(s199, s173) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s156) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s189) | trans(s199, s191) | trans(s199, s5)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.14 tff(35415,plain,
% 5.62/5.14 (always3(s129)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35414, 13492, 13665, 13664, 13659, 13658, 34349, 13655, 13654, 13598, 13651, 13650, 34327, 13647, 13646, 13645, 35104, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 35086, 13628, 13627, 13626, 13624, 13622, 35070, 13620, 13619, 13617, 13616, 13615, 35049, 13609, 13608, 35027, 13606, 13605, 13604, 13603, 13644, 13601, 13648, 13656, 13652, 13597, 13621, 13594, 13599, 13592, 13591, 13590, 13589, 13588, 13587, 13630, 35219, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 13534, 13532, 13530, 33322, 13535, 13527, 13526, 13525, 13531, 13536, 13537, 34423, 13596, 33309, 13518, 34409, 33295, 13515, 13514, 13513, 13512, 13560, 33337, 13602, 13508, 34395, 13506, 33280, 13504, 13503, 13502, 13501, 13500, 13539, 13498, 34380, 34365, 32872, 13493, 13496, 13490, 13489, 35216, 35213, 13662, 35194, 13440, 13438, 13437, 13521, 13435, 13434, 13433, 35191, 35183, 13378])).
% 5.62/5.14 tff(35416,plain,
% 5.62/5.14 (~m_main_v_state(s129, c_busy)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[19018, 145, 35415])).
% 5.62/5.14 tff(35417,assumption,(node2(s199, s129)), introduced(assumption)).
% 5.62/5.14 tff(35418,plain,
% 5.62/5.14 (((~![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(s129, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s129)))),
% 5.62/5.14 inference(rewrite,[status(thm)],[])).
% 5.62/5.14 tff(35419,plain,
% 5.62/5.14 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s129)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s129, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s129)))),
% 5.62/5.14 inference(rewrite,[status(thm)],[])).
% 5.62/5.14 tff(35420,plain,
% 5.62/5.14 (((~![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(s199, c_ready)) | (~node2(s199, s129)) | m_main_v_state(s129, 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(s129, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s129))))),
% 5.62/5.14 inference(monotonicity,[status(thm)],[35419])).
% 5.62/5.14 tff(35421,plain,
% 5.62/5.14 (((~![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(s199, c_ready)) | (~node2(s199, s129)) | m_main_v_state(s129, 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(s129, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s129)))),
% 5.62/5.14 inference(transitivity,[status(thm)],[35420, 35418])).
% 5.62/5.14 tff(35422,plain,
% 5.62/5.14 ((~![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(s199, c_ready)) | (~node2(s199, s129)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s199)))),
% 5.62/5.14 inference(quant_inst,[status(thm)],[])).
% 5.62/5.14 tff(35423,plain,
% 5.62/5.14 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s129, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s129))),
% 5.62/5.14 inference(modus_ponens,[status(thm)],[35422, 35421])).
% 5.62/5.14 tff(35424,plain,
% 5.62/5.14 ($false),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35423, 166, 19020, 32885, 32872, 35417])).
% 5.62/5.14 tff(35425,plain,((~node2(s199, s129)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.14 tff(35426,plain,
% 5.62/5.14 (~node2(s199, s129)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35425, 35416, 32872])).
% 5.62/5.14 tff(35427,assumption,(~node2(s199, s129)), introduced(assumption)).
% 5.62/5.14 tff(35428,plain,
% 5.62/5.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s129)) | node2(s199, s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s129)) | node2(s199, s129))),
% 5.62/5.14 inference(rewrite,[status(thm)],[])).
% 5.62/5.14 tff(35429,plain,
% 5.62/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s129)) | node2(s199, s129))),
% 5.62/5.14 inference(quant_inst,[status(thm)],[])).
% 5.62/5.14 tff(35430,plain,
% 5.62/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s129)) | node2(s199, s129)),
% 5.62/5.14 inference(modus_ponens,[status(thm)],[35429, 35428])).
% 5.62/5.14 tff(35431,plain,
% 5.62/5.14 ($false),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35430, 12640, 7, 35427])).
% 5.62/5.14 tff(35432,plain,((~trans(s199, s129)) | node2(s199, s129)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.14 tff(35433,plain,
% 5.62/5.14 (~trans(s199, s129)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35432, 35426])).
% 5.62/5.14 tff(35434,plain,
% 5.62/5.14 (always3(s138)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35306, 13492, 13665, 13664, 13659, 13658, 34349, 13655, 13654, 13598, 13651, 13650, 34327, 13647, 13646, 13645, 35104, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 35086, 13628, 13627, 13626, 13624, 13622, 35070, 13620, 13619, 13617, 13616, 13615, 35049, 13609, 13608, 35027, 13606, 13605, 13604, 13603, 13644, 13601, 13648, 13656, 13652, 13597, 13621, 13594, 13599, 13592, 13591, 13590, 13589, 13588, 13587, 13630, 35219, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 33322, 13531, 13536, 13534, 13532, 13537, 13530, 34423, 13535, 13527, 13526, 13525, 13596, 33309, 34409, 33295, 13560, 33337, 13518, 13602, 34365, 13515, 13514, 13513, 13512, 34395, 13539, 13508, 33280, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 34380, 32872, 13493, 13496, 13490, 13489, 35216, 35213, 13662, 35194, 13440, 13438, 13437, 13521, 13435, 13434, 13433, 35191, 35183, 13378])).
% 5.62/5.14 tff(35435,plain,
% 5.62/5.14 (~m_main_v_state(s138, c_busy)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[20127, 145, 35434])).
% 5.62/5.14 tff(35436,plain,
% 5.62/5.14 (~node2(s199, s138)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35317, 35435, 32872])).
% 5.62/5.14 tff(35437,plain,
% 5.62/5.14 (~trans(s199, s138)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35324, 35436])).
% 5.62/5.14 tff(35438,plain,
% 5.62/5.14 (always3(s129)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35414, 13613, 13665, 13664, 13659, 13658, 13656, 13655, 13654, 13598, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13523, 13609, 13608, 13520, 13606, 13605, 13604, 13603, 13602, 13601, 13666, 13599, 13652, 13597, 13629, 13594, 13663, 13592, 13591, 13590, 13589, 13588, 13587, 13509, 13484, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 13534, 13532, 13530, 13505, 13535, 13527, 13526, 13525, 13531, 13536, 13537, 13595, 13596, 13642, 13518, 13538, 13661, 13515, 13514, 13513, 13512, 13560, 13568, 13533, 13508, 13511, 13506, 13529, 13504, 13503, 13502, 13501, 13500, 13539, 13498, 13497, 13492, 32872, 13493, 13496, 13490, 13489, 34301, 33935, 13662, 13612, 13440, 13438, 13437, 13521, 13435, 13434, 13433, 33932, 13528, 13378])).
% 5.62/5.14 tff(35439,plain,
% 5.62/5.14 (~m_main_v_state(s129, c_busy)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[19018, 145, 35438])).
% 5.62/5.14 tff(35440,plain,
% 5.62/5.14 (~node2(s199, s129)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35425, 35439, 32872])).
% 5.62/5.14 tff(35441,plain,
% 5.62/5.14 (~trans(s199, s129)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35430, 7, 35440])).
% 5.62/5.14 tff(35442,plain,
% 5.62/5.14 (~trans(s199, s127)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[25022, 19074])).
% 5.62/5.14 tff(35443,plain,
% 5.62/5.14 (~trans(s199, s126)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[25012, 19075])).
% 5.62/5.14 tff(35444,plain,
% 5.62/5.14 ($false),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[34970, 35443, 35442, 13539, 13665, 13664, 13659, 13658, 13656, 13655, 13654, 13598, 13651, 13650, 13648, 13647, 13646, 13645, 13644, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13630, 13628, 13627, 13626, 13624, 13622, 13621, 13620, 13619, 13617, 13616, 13615, 13523, 13609, 13608, 13520, 13606, 13605, 13604, 13603, 13602, 13601, 13666, 13599, 13652, 13597, 13629, 13594, 13663, 13592, 13591, 13590, 13589, 13588, 13587, 13509, 13484, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 34564, 13562, 13561, 34549, 13559, 34535, 34522, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 34509, 34496, 34483, 34468, 13534, 13532, 34453, 13530, 13505, 13535, 13527, 13526, 13525, 13531, 13536, 13537, 13595, 13596, 13642, 13518, 13538, 13661, 13515, 13514, 13513, 13512, 13560, 13568, 13533, 13508, 13511, 13506, 13529, 13504, 13503, 13502, 13501, 13500, 13613, 13498, 13497, 13492, 35300, 32872, 13493, 35369, 13496, 13490, 13489, 35325, 34301, 35410, 33935, 13662, 35409, 13612, 13440, 35441, 13438, 13437, 13521, 13435, 13434, 13433, 33932, 13528, 13378])).
% 5.62/5.14 tff(35445,plain,(always3(s127) | trans(s199, s118) | trans(s199, s63) | trans(s199, s61) | trans(s199, s100) | trans(s199, s83) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s0) | trans(s199, s39) | trans(s199, s13) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s179) | trans(s199, s20) | trans(s199, s44) | trans(s199, s181) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s175) | trans(s199, s125) | trans(s199, s2) | trans(s199, s74) | trans(s199, s167) | trans(s199, s65) | trans(s199, s171) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s165) | trans(s199, s192) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s123) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s155) | trans(s199, s19) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s150) | trans(s199, s153) | trans(s199, s161) | trans(s199, s160) | trans(s199, s151) | trans(s199, s152) | trans(s199, s84) | trans(s199, s164) | trans(s199, s154) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s158) | trans(s199, s149) | trans(s199, s198) | trans(s199, s37) | trans(s199, s159) | trans(s199, s79) | trans(s199, s157) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s163) | trans(s199, s82) | trans(s199, s162) | trans(s199, s148) | (~m_main_v_request(s199)) | trans(s199, s38) | trans(s199, s120) | trans(s199, s46) | trans(s199, s108) | trans(s199, s195) | trans(s199, s193) | trans(s199, s36) | trans(s199, s173) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s156) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s189) | trans(s199, s191) | trans(s199, s5)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.14 tff(35446,plain,
% 5.62/5.14 (always3(s127)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35445, 13492, 34349, 13665, 13659, 13658, 34327, 13664, 13654, 13655, 13651, 13650, 35104, 13647, 13646, 13645, 35086, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 35070, 13628, 13627, 13626, 13624, 13622, 35049, 13620, 13619, 13617, 13616, 13615, 13598, 13609, 13608, 35027, 13606, 13605, 13604, 13603, 13644, 13601, 13648, 13656, 13652, 13597, 13621, 13594, 13599, 13592, 13591, 13590, 13589, 13588, 13587, 13630, 35219, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 13562, 13561, 13559, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 13534, 13532, 13530, 33322, 13535, 13527, 13526, 13525, 13531, 13536, 13537, 34423, 13596, 33309, 13518, 34409, 33295, 13515, 13514, 13513, 13512, 13560, 33337, 13602, 13508, 34395, 13506, 33280, 13504, 13503, 13502, 13501, 13500, 13539, 13498, 34380, 34365, 32872, 13493, 13496, 13490, 13489, 35216, 35213, 13662, 35194, 13440, 13438, 13437, 13521, 13435, 13434, 13433, 35191, 35183, 13378])).
% 5.62/5.14 tff(35447,assumption,(node2(s199, s127)), introduced(assumption)).
% 5.62/5.14 tff(35448,assumption,(always3(s127)), introduced(assumption)).
% 5.62/5.14 tff(35449,plain,
% 5.62/5.14 (~m_main_v_state(s127, c_busy)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[19103, 145, 35448])).
% 5.62/5.14 tff(35450,plain,
% 5.62/5.14 (((~![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(s127, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s127)))),
% 5.62/5.14 inference(rewrite,[status(thm)],[])).
% 5.62/5.14 tff(35451,plain,
% 5.62/5.14 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s127)) | m_main_v_state(s127, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s127, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s127)))),
% 5.62/5.14 inference(rewrite,[status(thm)],[])).
% 5.62/5.14 tff(35452,plain,
% 5.62/5.14 (((~![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(s199, c_ready)) | (~node2(s199, s127)) | m_main_v_state(s127, 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(s127, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s127))))),
% 5.62/5.14 inference(monotonicity,[status(thm)],[35451])).
% 5.62/5.14 tff(35453,plain,
% 5.62/5.14 (((~![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(s199, c_ready)) | (~node2(s199, s127)) | m_main_v_state(s127, 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(s127, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s127)))),
% 5.62/5.14 inference(transitivity,[status(thm)],[35452, 35450])).
% 5.62/5.14 tff(35454,plain,
% 5.62/5.14 ((~![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(s199, c_ready)) | (~node2(s199, s127)) | m_main_v_state(s127, c_busy) | (~m_main_v_request(s199)))),
% 5.62/5.14 inference(quant_inst,[status(thm)],[])).
% 5.62/5.14 tff(35455,plain,
% 5.62/5.14 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s127, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s127))),
% 5.62/5.14 inference(modus_ponens,[status(thm)],[35454, 35453])).
% 5.62/5.14 tff(35456,plain,
% 5.62/5.14 ($false),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35455, 166, 35449, 32885, 32872, 35447])).
% 5.62/5.14 tff(35457,plain,((~node2(s199, s127)) | (~m_main_v_request(s199)) | (~always3(s127))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.14 tff(35458,plain,
% 5.62/5.14 (~node2(s199, s127)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35457, 35446, 32872])).
% 5.62/5.14 tff(35459,assumption,(~node2(s199, s127)), introduced(assumption)).
% 5.62/5.14 tff(35460,plain,
% 5.62/5.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s127)) | node2(s199, s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s127)) | node2(s199, s127))),
% 5.62/5.14 inference(rewrite,[status(thm)],[])).
% 5.62/5.14 tff(35461,plain,
% 5.62/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s127)) | node2(s199, s127))),
% 5.62/5.14 inference(quant_inst,[status(thm)],[])).
% 5.62/5.14 tff(35462,plain,
% 5.62/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s127)) | node2(s199, s127)),
% 5.62/5.14 inference(modus_ponens,[status(thm)],[35461, 35460])).
% 5.62/5.14 tff(35463,plain,
% 5.62/5.14 ($false),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35462, 12761, 7, 35459])).
% 5.62/5.14 tff(35464,plain,((~trans(s199, s127)) | node2(s199, s127)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.14 tff(35465,plain,
% 5.62/5.14 (~trans(s199, s127)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35464, 35458])).
% 5.62/5.14 tff(35466,plain,
% 5.62/5.14 (trans(s199, s131)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[34970, 35465, 32872, 34349, 13665, 13659, 13658, 34327, 13664, 13654, 13655, 13651, 13650, 35104, 13647, 13646, 13645, 35086, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 35070, 13628, 13627, 13626, 13624, 13622, 35049, 13620, 13619, 13617, 13616, 13615, 13598, 13609, 13608, 35027, 13606, 13605, 13604, 13603, 13644, 13601, 13648, 13656, 13652, 13597, 13621, 13594, 13599, 13592, 13591, 13590, 13589, 13588, 13587, 13602, 13630, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13566, 13565, 13564, 34564, 13562, 13561, 34549, 13559, 34535, 34522, 13556, 13555, 13554, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13543, 13542, 13541, 13540, 13491, 34509, 34496, 34483, 34468, 13534, 13532, 34453, 13530, 34438, 13535, 13527, 13526, 13525, 33322, 13531, 13536, 13537, 34423, 13596, 13518, 33309, 34409, 13515, 13514, 13513, 13512, 33295, 13560, 13539, 13508, 33337, 13506, 34395, 13504, 13503, 13502, 13501, 13500, 33280, 13498, 34380, 34365, 35219, 35216, 13493, 35213, 13496, 13490, 13489, 13492, 35437, 13623, 35433, 13662, 35401, 35194, 13440, 35397, 13438, 13437, 13521, 13435, 13434, 13433, 35191, 35183, 13378])).
% 5.62/5.14 tff(35467,plain,
% 5.62/5.14 ($false),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35408, 35466, 7, 35393])).
% 5.62/5.14 tff(35468,plain,(trans(s199, s148) | (~m_main_v_request(s199)) | trans(s199, s63) | trans(s199, s100) | trans(s199, s83) | trans(s199, s61) | trans(s199, s87) | trans(s199, s50) | trans(s199, s39) | trans(s199, s13) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s106) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s0) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s111) | trans(s199, s113) | trans(s199, s109) | trans(s199, s117) | trans(s199, s2) | trans(s199, s74) | trans(s199, s115) | trans(s199, s65) | trans(s199, s125) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s121) | trans(s199, s124) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s116) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s123) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s19) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s150) | trans(s199, s153) | trans(s199, s161) | trans(s199, s151) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s158) | trans(s199, s118) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s120) | trans(s199, s46) | trans(s199, s108) | trans(s199, s133) | trans(s199, s36) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s156) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.14 tff(35469,plain,
% 5.62/5.14 (trans(s199, s114)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35468, 33245, 13665, 13659, 13658, 13664, 13654, 13655, 13651, 13650, 13647, 13646, 13645, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13627, 13626, 13624, 13622, 32442, 13619, 13617, 13616, 13615, 13598, 13609, 13608, 13606, 13605, 13604, 13603, 33232, 33210, 33190, 33177, 13652, 13597, 33163, 13594, 33150, 33135, 13591, 13590, 13589, 13588, 13587, 33120, 33107, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 33094, 13565, 13564, 13562, 33081, 13559, 13556, 13555, 33068, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 33055, 13542, 13541, 13540, 33042, 13534, 13532, 13530, 13535, 13527, 32444, 13525, 33027, 33012, 32999, 32984, 13518, 13515, 13514, 32969, 13512, 32954, 32939, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 32918, 13490, 32443, 32871, 13662, 13440, 13438, 13437, 32897, 13435, 13434, 13433, 13378])).
% 5.62/5.14 tff(35470,plain,
% 5.62/5.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s114)) | node2(s199, s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s114)) | node2(s199, s114))),
% 5.62/5.14 inference(rewrite,[status(thm)],[])).
% 5.62/5.14 tff(35471,plain,
% 5.62/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s114)) | node2(s199, s114))),
% 5.62/5.14 inference(quant_inst,[status(thm)],[])).
% 5.62/5.14 tff(35472,plain,
% 5.62/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s114)) | node2(s199, s114)),
% 5.62/5.14 inference(modus_ponens,[status(thm)],[35471, 35470])).
% 5.62/5.14 tff(35473,plain,
% 5.62/5.14 (node2(s199, s114)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[35472, 35469, 7])).
% 5.62/5.14 tff(35474,plain,
% 5.62/5.14 (always3(s114)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[24772, 35469])).
% 5.62/5.14 tff(35475,plain,
% 5.62/5.14 (~m_main_v_state(s114, c_busy)),
% 5.62/5.14 inference(unit_resolution,[status(thm)],[18176, 145, 35474])).
% 5.62/5.14 tff(35476,plain,
% 5.62/5.14 (((~![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(s114, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s114)))),
% 5.62/5.14 inference(rewrite,[status(thm)],[])).
% 5.62/5.14 tff(35477,plain,
% 5.62/5.14 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s114)) | m_main_v_state(s114, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s114, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s114)))),
% 5.62/5.14 inference(rewrite,[status(thm)],[])).
% 5.62/5.14 tff(35478,plain,
% 5.62/5.14 (((~![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(s199, c_ready)) | (~node2(s199, s114)) | m_main_v_state(s114, 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(s114, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s114))))),
% 5.62/5.14 inference(monotonicity,[status(thm)],[35477])).
% 5.62/5.14 tff(35479,plain,
% 5.62/5.14 (((~![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(s199, c_ready)) | (~node2(s199, s114)) | m_main_v_state(s114, 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(s114, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s114)))),
% 5.62/5.14 inference(transitivity,[status(thm)],[35478, 35476])).
% 5.62/5.14 tff(35480,plain,
% 5.62/5.14 ((~![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(s199, c_ready)) | (~node2(s199, s114)) | m_main_v_state(s114, c_busy) | (~m_main_v_request(s199)))),
% 5.62/5.15 inference(quant_inst,[status(thm)],[])).
% 5.62/5.15 tff(35481,plain,
% 5.62/5.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s114, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s114))),
% 5.62/5.15 inference(modus_ponens,[status(thm)],[35480, 35479])).
% 5.62/5.15 tff(35482,plain,
% 5.62/5.15 ($false),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[35481, 166, 35475, 32885, 32871, 35473])).
% 5.62/5.15 tff(35483,plain,(always3(s108) | trans(s199, s63) | trans(s199, s100) | trans(s199, s83) | trans(s199, s61) | trans(s199, s87) | trans(s199, s50) | trans(s199, s39) | trans(s199, s13) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s103) | trans(s199, s78) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s0) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s2) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s19) | trans(s199, s21) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s30) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s46) | trans(s199, s36) | trans(s199, s93) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.15 tff(35484,plain,
% 5.62/5.15 (always3(s108)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[35483, 13440, 13659, 13658, 13664, 13654, 13655, 13651, 13650, 13647, 13646, 13645, 13643, 13641, 13639, 13638, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13627, 13626, 13624, 13622, 13619, 13617, 13616, 13615, 13598, 13609, 13608, 13606, 13605, 13604, 13603, 13652, 13597, 13594, 13591, 13590, 13589, 13588, 13587, 13583, 13582, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13542, 13541, 13540, 13534, 13532, 13530, 13535, 13527, 13525, 13518, 13515, 13514, 13512, 13508, 13506, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 13662, 13665, 13438, 13437, 13435, 13434, 13433, 13378, 7086])).
% 5.62/5.15 tff(35485,plain,
% 5.62/5.15 (~m_main_v_state(s108, c_busy)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[17595, 145, 35484])).
% 5.62/5.15 tff(35486,plain,
% 5.62/5.15 (~node4(s107)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[17628, 35485])).
% 5.62/5.15 tff(35487,plain,
% 5.62/5.15 (always3(s109)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[5664, 35484])).
% 5.62/5.15 tff(35488,plain,
% 5.62/5.15 (~m_main_v_state(s109, c_busy)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[17572, 145, 35487])).
% 5.62/5.15 tff(35489,plain,
% 5.62/5.15 (m_main_v_state(s108, c_ready)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[17599, 188, 35485])).
% 5.62/5.15 tff(35490,plain,
% 5.62/5.15 (~m_main_v_request(s108)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[17588, 35489, 35488])).
% 5.62/5.15 tff(35491,plain,
% 5.62/5.15 (~node4(s108)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[17579, 63, 35490])).
% 5.62/5.15 tff(35492,plain,
% 5.62/5.15 (~until2p7(s108)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[32826, 35491])).
% 5.62/5.15 tff(35493,plain,
% 5.62/5.15 (~xuntil2p8(s107)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[9798, 35492])).
% 5.62/5.15 tff(35494,plain,
% 5.62/5.15 (~until2p7(s107)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[9804, 8293, 35493, 35486])).
% 5.62/5.15 tff(35495,plain,
% 5.62/5.15 (~xuntil2p8(s106)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[9810, 35494])).
% 5.62/5.15 tff(35496,plain,
% 5.62/5.15 (~trans(s199, s188)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[12186, 25045, 11264])).
% 5.62/5.15 tff(35497,plain,
% 5.62/5.15 (~trans(s199, s192)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[13363, 25037, 11264])).
% 5.62/5.15 tff(35498,plain,
% 5.62/5.15 (~trans(s199, s190)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[11383, 25041, 11264])).
% 5.62/5.15 tff(35499,plain,
% 5.62/5.15 (~trans(s199, s108)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[11427, 35492, 11264])).
% 5.62/5.15 tff(35500,plain,
% 5.62/5.15 (~trans(s199, s187)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[11757, 25047, 11264])).
% 5.62/5.15 tff(35501,plain,
% 5.62/5.15 (~trans(s199, s191)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[11856, 25039, 11264])).
% 5.62/5.15 tff(35502,plain,
% 5.62/5.15 (~trans(s199, s186)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[12472, 25049, 11264])).
% 5.62/5.15 tff(35503,plain,
% 5.62/5.15 (~trans(s199, s133)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[25403, 32363, 11264])).
% 5.62/5.15 tff(35504,plain,
% 5.62/5.15 (~trans(s199, s107)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[11834, 35494, 11264])).
% 5.62/5.15 tff(35505,plain,
% 5.62/5.15 (until2p7(s199) | trans(s199, s63) | trans(s199, s175) | trans(s199, s171) | trans(s199, s36) | trans(s199, s154) | trans(s199, s141) | trans(s199, s100) | trans(s199, s83) | trans(s199, s135) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s136) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s126) | trans(s199, s109) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s111) | trans(s199, s103) | trans(s199, s152) | trans(s199, s78) | trans(s199, s168) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s166) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s124) | trans(s199, s167) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s176) | trans(s199, s28) | trans(s199, s133) | trans(s199, s47) | trans(s199, s115) | trans(s199, s106) | trans(s199, s91) | trans(s199, s169) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s145) | trans(s199, s163) | trans(s199, s173) | trans(s199, s127) | trans(s199, s137) | trans(s199, s20) | trans(s199, s44) | trans(s199, s172) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s121) | trans(s199, s113) | trans(s199, s129) | trans(s199, s125) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s131) | trans(s199, s122) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s170) | (~xuntil6(s199)) | trans(s199, s186) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s134) | trans(s199, s69) | trans(s199, s140) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s149) | trans(s199, s52) | trans(s199, s119) | trans(s199, s11) | trans(s199, s48) | trans(s199, s144) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s110) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s112) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s118) | trans(s199, s164) | trans(s199, s161) | trans(s199, s153) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s150) | trans(s199, s35) | trans(s199, s157) | trans(s199, s191) | trans(s199, s21) | trans(s199, s107) | trans(s199, s105) | trans(s199, s180) | trans(s199, s179) | trans(s199, s177) | trans(s199, s156) | trans(s199, s181) | trans(s199, s187) | trans(s199, s84) | trans(s199, s142) | trans(s199, s174) | trans(s199, s98) | trans(s199, s66) | trans(s199, s114) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s165) | trans(s199, s37) | trans(s199, s143) | trans(s199, s79) | trans(s199, s155) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s162) | trans(s199, s120) | trans(s199, s138) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s123) | trans(s199, s46) | trans(s199, s108) | trans(s199, s139) | trans(s199, s183) | trans(s199, s182) | trans(s199, s190) | trans(s199, s192) | trans(s199, s93) | trans(s199, s178) | trans(s199, s16) | trans(s199, s15) | trans(s199, s147) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | trans(s199, s188)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[26047, 16109])).
% 5.62/5.15 tff(35506,plain,
% 5.62/5.15 (trans(s199, s106)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[35505, 35504, 13665, 13662, 12474, 11264, 13593, 13658, 13539, 13656, 13655, 13654, 13659, 13652, 13651, 13650, 13563, 13491, 13647, 13646, 13645, 13625, 13643, 13660, 13641, 13436, 13639, 13638, 13637, 13636, 13635, 13509, 13633, 13632, 13631, 13488, 13507, 13628, 13627, 13626, 13634, 13624, 35503, 13622, 13621, 13601, 13619, 13642, 13617, 13616, 13615, 13614, 13613, 13439, 13630, 13653, 13609, 13608, 13612, 13606, 13605, 13604, 13603, 13495, 13513, 13602, 13600, 13598, 13597, 13596, 13595, 13594, 13599, 13611, 13591, 13590, 13589, 13588, 13587, 13666, 13607, 35502, 13583, 13582, 13581, 13610, 13579, 13657, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13663, 13567, 13592, 13565, 13564, 13537, 13562, 13561, 13560, 13559, 13586, 13557, 13556, 13555, 13543, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13554, 13542, 13541, 13540, 13496, 13538, 13536, 13531, 13535, 13534, 13532, 13521, 13530, 13505, 35501, 13527, 13648, 13525, 13524, 13523, 13522, 13661, 13520, 35500, 13518, 13517, 13516, 13515, 13514, 13644, 13512, 13511, 13510, 13618, 13508, 13529, 13506, 13568, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13566, 13580, 13494, 13493, 13492, 13649, 13490, 35499, 13578, 13487, 13486, 35498, 35497, 13440, 13629, 13438, 13437, 13640, 13435, 13434, 13433, 13378, 13664, 35496])).
% 5.62/5.15 tff(35507,plain,
% 5.62/5.15 (until2p7(s106)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[12868, 35506, 11264])).
% 5.62/5.15 tff(35508,plain,
% 5.62/5.15 (node4(s106)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[9816, 8293, 35507, 35495])).
% 5.62/5.15 tff(35509,plain,
% 5.62/5.15 (always3(s106)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[24640, 35506])).
% 5.62/5.15 tff(35510,plain,
% 5.62/5.15 (always3(s107)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[5688, 35509])).
% 5.62/5.15 tff(35511,plain,
% 5.62/5.15 (~m_main_v_state(s107, c_busy)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[17476, 145, 35510])).
% 5.62/5.15 tff(35512,plain,
% 5.62/5.15 (~m_main_v_state(s106, c_busy)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[17503, 145, 35509])).
% 5.62/5.15 tff(35513,plain,
% 5.62/5.15 (~node1(s105)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[32280, 35512])).
% 5.62/5.15 tff(35514,plain,
% 5.62/5.15 (m_main_v_state(s106, c_ready)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[32288, 35513, 35512])).
% 5.62/5.15 tff(35515,plain,
% 5.62/5.15 (~m_main_v_request(s106)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[17492, 35514, 35511])).
% 5.62/5.15 tff(35516,plain,
% 5.62/5.15 ($false),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[17483, 63, 35515, 35508])).
% 5.62/5.15 tff(35517,plain,(trans(s199, s93) | (~xuntil6(s199)) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s131) | trans(s199, s83) | trans(s199, s118) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s100) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s144) | trans(s199, s123) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s176) | trans(s199, s103) | trans(s199, s141) | trans(s199, s78) | trans(s199, s147) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s165) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s139) | trans(s199, s143) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s166) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s113) | trans(s199, s91) | trans(s199, s152) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s145) | trans(s199, s163) | trans(s199, s178) | trans(s199, s124) | trans(s199, s136) | trans(s199, s20) | trans(s199, s44) | trans(s199, s173) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s138) | trans(s199, s114) | trans(s199, s121) | trans(s199, s129) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s125) | trans(s199, s127) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s175) | trans(s199, s172) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s137) | trans(s199, s69) | trans(s199, s135) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s171) | trans(s199, s52) | trans(s199, s122) | trans(s199, s11) | trans(s199, s48) | trans(s199, s161) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s170) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s112) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s110) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s120) | trans(s199, s164) | trans(s199, s153) | trans(s199, s150) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s156) | trans(s199, s35) | trans(s199, s155) | trans(s199, s21) | trans(s199, s109) | trans(s199, s105) | trans(s199, s180) | trans(s199, s179) | trans(s199, s177) | trans(s199, s154) | trans(s199, s181) | trans(s199, s84) | trans(s199, s142) | trans(s199, s174) | trans(s199, s98) | trans(s199, s66) | trans(s199, s111) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s169) | trans(s199, s37) | trans(s199, s157) | trans(s199, s79) | trans(s199, s149) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s162) | trans(s199, s119) | trans(s199, s134) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s126) | trans(s199, s46) | trans(s199, s140) | trans(s199, s183) | trans(s199, s182) | trans(s199, s167) | trans(s199, s16) | trans(s199, s15) | trans(s199, s168) | trans(s199, s8) | trans(s199, s32) | trans(s199, s96) | trans(s199, s5) | trans(s199, s61) | xuntil2p8(s108) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.15 tff(35518,plain,
% 5.62/5.15 (trans(s199, s96)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[35517, 32863, 13665, 13662, 12474, 13593, 13658, 13539, 13656, 13655, 13654, 13659, 13652, 13651, 13650, 13563, 13491, 13647, 13646, 13645, 13625, 32862, 13660, 13641, 13436, 13639, 13638, 13637, 13636, 13635, 13509, 13633, 13632, 13631, 13488, 13507, 13628, 13627, 13626, 13634, 13624, 13622, 13621, 13601, 13619, 13642, 13617, 13616, 13615, 13614, 13613, 13439, 13630, 13653, 13609, 13608, 13612, 13606, 13605, 13604, 13603, 13495, 13513, 13602, 13600, 13598, 13597, 13596, 13595, 13594, 13599, 13611, 13591, 13590, 13589, 13588, 13587, 13666, 13607, 13583, 13582, 13581, 13610, 13579, 13657, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 13663, 13567, 13592, 13565, 13564, 13537, 13562, 13561, 13560, 13559, 13586, 13557, 13556, 13555, 13543, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13554, 13542, 13541, 13540, 13496, 13538, 13536, 13531, 13535, 13534, 13532, 13521, 13530, 13505, 13527, 13648, 13525, 13524, 13523, 13522, 13661, 13520, 13518, 13517, 13516, 13515, 13514, 13644, 13512, 13511, 13510, 13618, 13508, 13529, 13506, 13568, 13504, 13503, 13502, 13501, 13500, 13499, 13498, 13497, 13566, 13580, 13494, 13493, 13492, 13649, 13490, 13578, 13487, 13486, 13629, 13438, 13437, 13640, 13435, 13434, 11264, 13378, 13664, 32825, 7086])).
% 5.62/5.15 tff(35519,plain,
% 5.62/5.15 (always3(s96)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[24195, 35518])).
% 5.62/5.15 tff(35520,plain,
% 5.62/5.15 (always3(s97)),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[5812, 35519])).
% 5.62/5.15 tff(35521,plain,
% 5.62/5.15 ($false),
% 5.62/5.15 inference(unit_resolution,[status(thm)],[5800, 6565, 35520])).
% 5.62/5.15 tff(35522,plain,(always3(s103) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s131) | trans(s199, s83) | trans(s199, s118) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s100) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s144) | trans(s199, s123) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s176) | trans(s199, s141) | trans(s199, s78) | trans(s199, s147) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s165) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s139) | trans(s199, s143) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s166) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s113) | trans(s199, s91) | trans(s199, s152) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s145) | trans(s199, s163) | trans(s199, s178) | trans(s199, s124) | trans(s199, s136) | trans(s199, s20) | trans(s199, s44) | trans(s199, s173) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s138) | trans(s199, s114) | trans(s199, s121) | trans(s199, s129) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s125) | trans(s199, s127) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s175) | trans(s199, s172) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s137) | trans(s199, s69) | trans(s199, s135) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s171) | trans(s199, s52) | trans(s199, s122) | trans(s199, s11) | trans(s199, s48) | trans(s199, s161) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s170) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s112) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s110) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s120) | trans(s199, s164) | trans(s199, s153) | trans(s199, s150) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s156) | trans(s199, s35) | trans(s199, s155) | trans(s199, s21) | trans(s199, s109) | trans(s199, s105) | trans(s199, s180) | trans(s199, s179) | trans(s199, s177) | trans(s199, s154) | trans(s199, s181) | trans(s199, s84) | trans(s199, s142) | trans(s199, s174) | trans(s199, s98) | trans(s199, s66) | trans(s199, s111) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s169) | trans(s199, s37) | trans(s199, s157) | trans(s199, s79) | trans(s199, s149) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s130) | trans(s199, s82) | trans(s199, s162) | trans(s199, s119) | trans(s199, s134) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s126) | trans(s199, s46) | trans(s199, s140) | trans(s199, s183) | trans(s199, s182) | trans(s199, s167) | trans(s199, s16) | trans(s199, s15) | trans(s199, s168) | trans(s199, s8) | trans(s199, s32) | (~xuntil6(s199)) | trans(s199, s5) | trans(s199, s61) | xuntil2p8(s108) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.16 tff(35523,plain,
% 5.62/5.16 (always3(s103)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35522, 13641, 13662, 24794, 31814, 13658, 32342, 13656, 13655, 13654, 13659, 13652, 13651, 13650, 32341, 32343, 13647, 13646, 13645, 32861, 31889, 13665, 32756, 13639, 13638, 13637, 13636, 13635, 32755, 13633, 13632, 13631, 31845, 32345, 13628, 13627, 13626, 32754, 13624, 13622, 31885, 31884, 13619, 31887, 13617, 13616, 13615, 31846, 32347, 32753, 31844, 31843, 13609, 13608, 32752, 13606, 13605, 13604, 13603, 31888, 31839, 31819, 31818, 13598, 13597, 31817, 31816, 13594, 31815, 31840, 13591, 13590, 13589, 13588, 13587, 32751, 32750, 13583, 13582, 13581, 31811, 13579, 31810, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 32749, 13567, 31807, 13565, 13564, 31806, 13562, 31805, 31560, 13559, 32748, 31559, 13556, 13555, 13543, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13554, 13542, 13541, 13540, 31553, 31847, 31550, 31549, 13535, 13534, 13532, 31547, 13530, 31546, 13527, 13648, 13525, 32747, 32746, 32745, 31544, 32744, 13518, 31542, 32743, 13515, 13514, 13644, 13512, 31540, 31539, 32742, 13508, 31538, 13506, 31533, 13504, 13503, 13502, 13501, 13500, 31530, 13498, 31514, 31513, 31512, 31511, 13493, 31510, 31509, 13490, 31312, 32741, 32740, 32739, 13438, 13437, 32738, 13435, 13434, 11264, 13378, 13664, 32737, 7086])).
% 5.62/5.16 tff(35524,plain,
% 5.62/5.16 (always3(s104)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5728, 35523])).
% 5.62/5.16 tff(35525,plain,
% 5.62/5.16 (always3(s105)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5712, 35524])).
% 5.62/5.16 tff(35526,plain,
% 5.62/5.16 (always3(s106)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5700, 35525])).
% 5.62/5.16 tff(35527,plain,
% 5.62/5.16 (always3(s107)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5688, 35526])).
% 5.62/5.16 tff(35528,plain,
% 5.62/5.16 (always3(s108)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5676, 35527])).
% 5.62/5.16 tff(35529,plain,
% 5.62/5.16 (~m_main_v_state(s108, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17595, 145, 35528])).
% 5.62/5.16 tff(35530,plain,
% 5.62/5.16 (~node4(s107)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17628, 35529])).
% 5.62/5.16 tff(35531,plain,
% 5.62/5.16 (always3(s109)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5664, 35528])).
% 5.62/5.16 tff(35532,plain,
% 5.62/5.16 (~m_main_v_state(s109, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17572, 145, 35531])).
% 5.62/5.16 tff(35533,plain,
% 5.62/5.16 (m_main_v_state(s108, c_ready)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17599, 188, 35529])).
% 5.62/5.16 tff(35534,plain,
% 5.62/5.16 (~m_main_v_request(s108)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17588, 35533, 35532])).
% 5.62/5.16 tff(35535,plain,
% 5.62/5.16 (~node4(s108)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17579, 63, 35534])).
% 5.62/5.16 tff(35536,plain,
% 5.62/5.16 (node4(s108) | (~until2p7(s108))),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9792, 8293, 32737])).
% 5.62/5.16 tff(35537,plain,
% 5.62/5.16 (~until2p7(s108)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35536, 35535])).
% 5.62/5.16 tff(35538,plain,
% 5.62/5.16 (~xuntil2p8(s107)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9798, 35537])).
% 5.62/5.16 tff(35539,plain,
% 5.62/5.16 (~until2p7(s107)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9804, 8293, 35538, 35530])).
% 5.62/5.16 tff(35540,plain,
% 5.62/5.16 (~xuntil2p8(s106)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9810, 35539])).
% 5.62/5.16 tff(35541,plain,
% 5.62/5.16 (~m_main_v_state(s107, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17476, 145, 35527])).
% 5.62/5.16 tff(35542,plain,
% 5.62/5.16 (~m_main_v_state(s106, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17503, 145, 35526])).
% 5.62/5.16 tff(35543,plain,
% 5.62/5.16 (~node1(s105)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[32280, 35542])).
% 5.62/5.16 tff(35544,plain,
% 5.62/5.16 (m_main_v_state(s106, c_ready)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[32288, 35543, 35542])).
% 5.62/5.16 tff(35545,plain,
% 5.62/5.16 (~m_main_v_request(s106)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17492, 35544, 35541])).
% 5.62/5.16 tff(35546,plain,
% 5.62/5.16 (~node4(s106)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17483, 63, 35545])).
% 5.62/5.16 tff(35547,plain,
% 5.62/5.16 (xuntil2p8(s106) | (~until2p7(s106))),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9816, 8293, 35546])).
% 5.62/5.16 tff(35548,plain,
% 5.62/5.16 (~until2p7(s106)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35547, 35540])).
% 5.62/5.16 tff(35549,plain,
% 5.62/5.16 (~xuntil2p8(s105)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9822, 35548])).
% 5.62/5.16 tff(35550,plain,
% 5.62/5.16 (~node4(s105)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17532, 35542])).
% 5.62/5.16 tff(35551,plain,
% 5.62/5.16 (xuntil2p8(s105) | (~until2p7(s105))),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9828, 8293, 35550])).
% 5.62/5.16 tff(35552,plain,
% 5.62/5.16 (~until2p7(s105)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35551, 35549])).
% 5.62/5.16 tff(35553,plain,
% 5.62/5.16 (~xuntil2p8(s104)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9834, 35552])).
% 5.62/5.16 tff(35554,plain,
% 5.62/5.16 (~m_main_v_state(s105, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17405, 145, 35525])).
% 5.62/5.16 tff(35555,plain,
% 5.62/5.16 (~m_main_v_state(s104, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17397, 145, 35524])).
% 5.62/5.16 tff(35556,plain,
% 5.62/5.16 (m_main_v_state(s104, c_ready)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17409, 188, 35555])).
% 5.62/5.16 tff(35557,plain,
% 5.62/5.16 (~m_main_v_request(s104)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17418, 35556, 35554])).
% 5.62/5.16 tff(35558,plain,
% 5.62/5.16 (~node4(s104)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17422, 63, 35557])).
% 5.62/5.16 tff(35559,plain,
% 5.62/5.16 (xuntil2p8(s104) | (~until2p7(s104))),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9840, 8293, 35558])).
% 5.62/5.16 tff(35560,plain,
% 5.62/5.16 (~until2p7(s104)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35559, 35553])).
% 5.62/5.16 tff(35561,plain,
% 5.62/5.16 (~xuntil2p8(s103)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9846, 35560])).
% 5.62/5.16 tff(35562,plain,
% 5.62/5.16 (~m_main_v_state(s103, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9872, 145, 35523])).
% 5.62/5.16 tff(35563,plain,
% 5.62/5.16 (m_main_v_state(s103, c_ready)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17446, 188, 35562])).
% 5.62/5.16 tff(35564,plain,
% 5.62/5.16 (~m_main_v_request(s103)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17440, 35563, 35555])).
% 5.62/5.16 tff(35565,plain,
% 5.62/5.16 (~node4(s103)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17431, 63, 35564])).
% 5.62/5.16 tff(35566,plain,
% 5.62/5.16 (xuntil2p8(s103) | (~until2p7(s103))),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9852, 8293, 35565])).
% 5.62/5.16 tff(35567,plain,
% 5.62/5.16 (~until2p7(s103)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35566, 35561])).
% 5.62/5.16 tff(35568,plain,
% 5.62/5.16 (~trans(s199, s103)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[13121, 35567, 11264])).
% 5.62/5.16 tff(35569,plain,
% 5.62/5.16 (trans(s199, s96)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35517, 35568, 13665, 13662, 24794, 31814, 13658, 32342, 13656, 13655, 13654, 13659, 13652, 13651, 13650, 32341, 32343, 13647, 13646, 13645, 32861, 32860, 31889, 13641, 32756, 13639, 13638, 13637, 13636, 13635, 32755, 13633, 13632, 13631, 31845, 32345, 13628, 13627, 13626, 32754, 13624, 13622, 31885, 31884, 13619, 31887, 13617, 13616, 13615, 31846, 32347, 32753, 31844, 31843, 13609, 13608, 32752, 13606, 13605, 13604, 13603, 31888, 31839, 31819, 31818, 13598, 13597, 31817, 31816, 13594, 31815, 31840, 13591, 13590, 13589, 13588, 13587, 32751, 32750, 13583, 13582, 13581, 31811, 13579, 31810, 13577, 13576, 13575, 13574, 13573, 13572, 13571, 13570, 13569, 32749, 13567, 31807, 13565, 13564, 31806, 13562, 31805, 31560, 13559, 32748, 31559, 13556, 13555, 13543, 13553, 13552, 13551, 13550, 13549, 13548, 13547, 13546, 13545, 13544, 13554, 13542, 13541, 13540, 31553, 31847, 31550, 31549, 13535, 13534, 13532, 31547, 13530, 31546, 13527, 13648, 13525, 32747, 32746, 32745, 31544, 32744, 13518, 31542, 32743, 13515, 13514, 13644, 13512, 31540, 31539, 32742, 13508, 31538, 13506, 31533, 13504, 13503, 13502, 13501, 13500, 31530, 13498, 31514, 31513, 31512, 31511, 13493, 31510, 31509, 13490, 31312, 32741, 32740, 32739, 13438, 13437, 32738, 13435, 13434, 11264, 13378, 13664, 32737, 7086])).
% 5.62/5.16 tff(35570,plain,
% 5.62/5.16 (always3(s96)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[24195, 35569])).
% 5.62/5.16 tff(35571,plain,
% 5.62/5.16 (always3(s97)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5812, 35570])).
% 5.62/5.16 tff(35572,plain,
% 5.62/5.16 (always3(s98)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5800, 35571])).
% 5.62/5.16 tff(35573,plain,
% 5.62/5.16 (always3(s99)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5788, 35572])).
% 5.62/5.16 tff(35574,plain,
% 5.62/5.16 (~m_main_v_state(s99, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9958, 145, 35573])).
% 5.62/5.16 tff(35575,plain,
% 5.62/5.16 (~m_main_v_state(s98, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[10000, 145, 35572])).
% 5.62/5.16 tff(35576,plain,
% 5.62/5.16 (m_main_v_state(s98, c_ready)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17192, 188, 35575])).
% 5.62/5.16 tff(35577,plain,
% 5.62/5.16 (~m_main_v_request(s98)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17201, 35576, 35574])).
% 5.62/5.16 tff(35578,plain,
% 5.62/5.16 (~node4(s98)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17205, 63, 35577])).
% 5.62/5.16 tff(35579,plain,
% 5.62/5.16 (~m_main_v_state(s97, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[10016, 145, 35571])).
% 5.62/5.16 tff(35580,plain,
% 5.62/5.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s96)) | node2(s199, s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s96)) | node2(s199, s96))),
% 5.62/5.16 inference(rewrite,[status(thm)],[])).
% 5.62/5.16 tff(35581,plain,
% 5.62/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s96)) | node2(s199, s96))),
% 5.62/5.16 inference(quant_inst,[status(thm)],[])).
% 5.62/5.16 tff(35582,plain,
% 5.62/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s96)) | node2(s199, s96)),
% 5.62/5.16 inference(modus_ponens,[status(thm)],[35581, 35580])).
% 5.62/5.16 tff(35583,plain,
% 5.62/5.16 (node2(s199, s96)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35582, 35569, 7])).
% 5.62/5.16 tff(35584,plain,
% 5.62/5.16 (~m_main_v_state(s96, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17229, 145, 35570])).
% 5.62/5.16 tff(35585,plain,
% 5.62/5.16 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (m_main_v_state(s96, c_busy) | m_main_v_state(s96, c_ready) | node1(s199) | (~node2(s199, s96)))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s96, c_busy) | m_main_v_state(s96, c_ready) | node1(s199) | (~node2(s199, s96)))),
% 5.62/5.16 inference(rewrite,[status(thm)],[])).
% 5.62/5.16 tff(35586,plain,
% 5.62/5.16 ((node1(s199) | m_main_v_state(s96, c_ready) | (~node2(s199, s96)) | m_main_v_state(s96, c_busy)) <=> (m_main_v_state(s96, c_busy) | m_main_v_state(s96, c_ready) | node1(s199) | (~node2(s199, s96)))),
% 5.62/5.16 inference(rewrite,[status(thm)],[])).
% 5.62/5.16 tff(35587,plain,
% 5.62/5.16 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s199) | m_main_v_state(s96, c_ready) | (~node2(s199, s96)) | m_main_v_state(s96, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (m_main_v_state(s96, c_busy) | m_main_v_state(s96, c_ready) | node1(s199) | (~node2(s199, s96))))),
% 5.62/5.16 inference(monotonicity,[status(thm)],[35586])).
% 5.62/5.16 tff(35588,plain,
% 5.62/5.16 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s199) | m_main_v_state(s96, c_ready) | (~node2(s199, s96)) | m_main_v_state(s96, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s96, c_busy) | m_main_v_state(s96, c_ready) | node1(s199) | (~node2(s199, s96)))),
% 5.62/5.16 inference(transitivity,[status(thm)],[35587, 35585])).
% 5.62/5.16 tff(35589,plain,
% 5.62/5.16 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s199) | m_main_v_state(s96, c_ready) | (~node2(s199, s96)) | m_main_v_state(s96, c_busy))),
% 5.62/5.16 inference(quant_inst,[status(thm)],[])).
% 5.62/5.16 tff(35590,plain,
% 5.62/5.16 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s96, c_busy) | m_main_v_state(s96, c_ready) | node1(s199) | (~node2(s199, s96))),
% 5.62/5.16 inference(modus_ponens,[status(thm)],[35589, 35588])).
% 5.62/5.16 tff(35591,plain,
% 5.62/5.16 (m_main_v_state(s96, c_ready)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35590, 2250, 35584, 24176, 35583])).
% 5.62/5.16 tff(35592,plain,
% 5.62/5.16 (~m_main_v_request(s96)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17242, 35591, 35579])).
% 5.62/5.16 tff(35593,plain,
% 5.62/5.16 (~node4(s96)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17246, 63, 35592])).
% 5.62/5.16 tff(35594,plain,
% 5.62/5.16 (until2p7(s96)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[11295, 35569, 11264])).
% 5.62/5.16 tff(35595,plain,
% 5.62/5.16 (node4(s96) | xuntil2p8(s96)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[10038, 8293, 35594])).
% 5.62/5.16 tff(35596,plain,
% 5.62/5.16 (xuntil2p8(s96)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35595, 35593])).
% 5.62/5.16 tff(35597,plain,
% 5.62/5.16 (until2p7(s97)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[10031, 35596])).
% 5.62/5.16 tff(35598,plain,
% 5.62/5.16 (xuntil2p8(s97)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[10026, 35597])).
% 5.62/5.16 tff(35599,plain,
% 5.62/5.16 (until2p7(s98)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9986, 35598])).
% 5.62/5.16 tff(35600,plain,
% 5.62/5.16 (xuntil2p8(s98)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9980, 8293, 35599, 35578])).
% 5.62/5.16 tff(35601,plain,
% 5.62/5.16 (until2p7(s99)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9973, 35600])).
% 5.62/5.16 tff(35602,plain,
% 5.62/5.16 (always3(s100)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5776, 35573])).
% 5.62/5.16 tff(35603,plain,
% 5.62/5.16 (always3(s101)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5764, 35602])).
% 5.62/5.16 tff(35604,plain,
% 5.62/5.16 (~m_main_v_state(s101, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17109, 145, 35603])).
% 5.62/5.16 tff(35605,plain,
% 5.62/5.16 (~node4(s100)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17132, 35604])).
% 5.62/5.16 tff(35606,plain,
% 5.62/5.16 (always3(s102)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5752, 35603])).
% 5.62/5.16 tff(35607,plain,
% 5.62/5.16 (~m_main_v_state(s102, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9888, 145, 35606])).
% 5.62/5.16 tff(35608,plain,
% 5.62/5.16 (m_main_v_state(s101, c_ready)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17138, 188, 35604])).
% 5.62/5.16 tff(35609,plain,
% 5.62/5.16 (~m_main_v_request(s101)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17147, 35608, 35607])).
% 5.62/5.16 tff(35610,plain,
% 5.62/5.16 (~node4(s101)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17151, 63, 35609])).
% 5.62/5.16 tff(35611,plain,
% 5.62/5.16 (~xuntil2p8(s102)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9858, 35567])).
% 5.62/5.16 tff(35612,plain,
% 5.62/5.16 (~until2p7(s102)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9898, 35611])).
% 5.62/5.16 tff(35613,plain,
% 5.62/5.16 (~xuntil2p8(s101)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9903, 35612])).
% 5.62/5.16 tff(35614,plain,
% 5.62/5.16 (node4(s101) | (~until2p7(s101))),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9910, 8293, 35613])).
% 5.62/5.16 tff(35615,plain,
% 5.62/5.16 (~until2p7(s101)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35614, 35610])).
% 5.62/5.16 tff(35616,plain,
% 5.62/5.16 (~xuntil2p8(s100)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9916, 35615])).
% 5.62/5.16 tff(35617,plain,
% 5.62/5.16 (~until2p7(s100)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9922, 8293, 35616, 35605])).
% 5.62/5.16 tff(35618,plain,
% 5.62/5.16 (~xuntil2p8(s99)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9928, 35617])).
% 5.62/5.16 tff(35619,plain,
% 5.62/5.16 ($false),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9968, 35618, 35601])).
% 5.62/5.16 tff(35620,plain,(trans(s199, s78) | node1(s199) | (~xuntil6(s199)) | trans(s199, s63) | trans(s199, s36) | trans(s199, s83) | trans(s199, s117) | trans(s199, s50) | trans(s199, s87) | trans(s199, s100) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s49) | trans(s199, s92) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s89) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s91) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s77) | trans(s199, s101) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s86) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s80) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s81) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s112) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s104) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s110) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s109) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s111) | trans(s199, s30) | trans(s199, s37) | trans(s199, s79) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s46) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s5) | trans(s199, s61) | (~until5(s39)) | node4(s199)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.16 tff(35621,plain,
% 5.62/5.16 (trans(s199, s109)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35620, 32703, 11264, 13665, 13662, 32339, 13656, 13655, 31890, 32340, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 31886, 13626, 13624, 13622, 31848, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 32344, 31841, 13598, 13597, 13594, 13591, 13590, 31813, 13588, 13587, 13583, 31842, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 31809, 13571, 13570, 31808, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 31812, 13553, 31558, 13551, 31557, 31556, 13548, 31555, 13546, 13545, 13544, 32350, 31554, 13541, 13540, 13535, 31548, 13532, 13530, 13527, 32702, 31545, 31543, 31541, 13514, 32701, 13512, 13508, 31537, 31532, 13503, 13502, 13501, 31531, 31529, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474])).
% 5.62/5.16 tff(35622,plain,
% 5.62/5.16 ($false),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[13176, 35621, 32700, 11264])).
% 5.62/5.16 tff(35623,plain,(always3(s105) | (~xuntil6(s199)) | trans(s199, s63) | trans(s199, s36) | trans(s199, s117) | trans(s199, s50) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s49) | node1(s199) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s4) | trans(s199, s45) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s27) | trans(s199, s42) | trans(s199, s75) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s66) | trans(s199, s30) | trans(s199, s37) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s38) | trans(s199, s46) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s5) | trans(s199, s61) | (~until5(s39)) | node4(s199) | trans(s199, s93)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.16 tff(35624,plain,
% 5.62/5.16 (always3(s105)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35623, 13440, 13665, 13662, 13656, 13655, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13626, 13624, 13622, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13598, 13597, 13594, 13591, 13590, 13588, 13587, 13583, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13571, 13570, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 13553, 13551, 13548, 13546, 13545, 13544, 13541, 13540, 13535, 13532, 13530, 13527, 13514, 13512, 13508, 13503, 13502, 13501, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474, 11264])).
% 5.62/5.16 tff(35625,plain,
% 5.62/5.16 (always3(s106)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5700, 35624])).
% 5.62/5.16 tff(35626,plain,
% 5.62/5.16 (always3(s107)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5688, 35625])).
% 5.62/5.16 tff(35627,plain,
% 5.62/5.16 (always3(s108)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5676, 35626])).
% 5.62/5.16 tff(35628,plain,
% 5.62/5.16 (always3(s109)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5664, 35627])).
% 5.62/5.16 tff(35629,plain,
% 5.62/5.16 (always3(s110)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5652, 35628])).
% 5.62/5.16 tff(35630,plain,
% 5.62/5.16 (always3(s111)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5640, 35629])).
% 5.62/5.16 tff(35631,plain,
% 5.62/5.16 (always3(s112)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5628, 35630])).
% 5.62/5.16 tff(35632,plain,
% 5.62/5.16 (always3(s113)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5616, 35631])).
% 5.62/5.16 tff(35633,plain,
% 5.62/5.16 (~m_main_v_state(s113, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[18192, 145, 35632])).
% 5.62/5.16 tff(35634,plain,
% 5.62/5.16 (~node4(s112)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[18257, 35633])).
% 5.62/5.16 tff(35635,plain,
% 5.62/5.16 (always3(s114)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5604, 35632])).
% 5.62/5.16 tff(35636,plain,
% 5.62/5.16 (~m_main_v_state(s114, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[18176, 145, 35635])).
% 5.62/5.16 tff(35637,plain,
% 5.62/5.16 (m_main_v_state(s113, c_ready)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[32205, 35633])).
% 5.62/5.16 tff(35638,plain,
% 5.62/5.16 (~m_main_v_request(s113)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[18185, 35637, 35636])).
% 5.62/5.16 tff(35639,plain,
% 5.62/5.16 (~node4(s113)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[18153, 63, 35638])).
% 5.62/5.16 tff(35640,plain,
% 5.62/5.16 (~node1(s113)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[32220, 35636])).
% 5.62/5.16 tff(35641,plain,
% 5.62/5.16 (m_main_v_state(s114, c_ready)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[32228, 35636, 35640])).
% 5.62/5.16 tff(35642,plain,
% 5.62/5.16 (~m_main_v_request(s114)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[18314, 35641, 31820])).
% 5.62/5.16 tff(35643,plain,
% 5.62/5.16 (~node4(s114)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[18305, 63, 35642])).
% 5.62/5.16 tff(35644,plain,
% 5.62/5.16 (~until2p7(s114)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[32385, 35643])).
% 5.62/5.16 tff(35645,plain,
% 5.62/5.16 (~xuntil2p8(s113)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9726, 35644])).
% 5.62/5.16 tff(35646,plain,
% 5.62/5.16 (~until2p7(s113)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9732, 8293, 35645, 35639])).
% 5.62/5.16 tff(35647,plain,
% 5.62/5.16 (~xuntil2p8(s112)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9738, 35646])).
% 5.62/5.16 tff(35648,plain,
% 5.62/5.16 (~until2p7(s112)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9744, 8293, 35647, 35634])).
% 5.62/5.16 tff(35649,plain,
% 5.62/5.16 (~xuntil2p8(s111)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9750, 35648])).
% 5.62/5.16 tff(35650,plain,
% 5.62/5.16 (~until2p7(s111)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[32238, 35649])).
% 5.62/5.16 tff(35651,plain,
% 5.62/5.16 (~trans(s199, s111)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[13132, 35650, 11264])).
% 5.62/5.16 tff(35652,plain,
% 5.62/5.16 (~xuntil2p8(s110)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9762, 35650])).
% 5.62/5.16 tff(35653,plain,
% 5.62/5.16 (~m_main_v_state(s111, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17678, 145, 35630])).
% 5.62/5.16 tff(35654,plain,
% 5.62/5.16 (~m_main_v_state(s110, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17701, 145, 35629])).
% 5.62/5.16 tff(35655,plain,
% 5.62/5.16 (m_main_v_state(s110, c_ready)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[32245, 35654])).
% 5.62/5.16 tff(35656,plain,
% 5.62/5.16 (~m_main_v_request(s110)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17694, 35655, 35653])).
% 5.62/5.16 tff(35657,plain,
% 5.62/5.16 (~node4(s110)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17685, 63, 35656])).
% 5.62/5.16 tff(35658,plain,
% 5.62/5.16 (xuntil2p8(s110) | (~until2p7(s110))),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9768, 8293, 35657])).
% 5.62/5.16 tff(35659,plain,
% 5.62/5.16 (~until2p7(s110)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35658, 35652])).
% 5.62/5.16 tff(35660,plain,
% 5.62/5.16 (~xuntil2p8(s109)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9774, 35659])).
% 5.62/5.16 tff(35661,plain,
% 5.62/5.16 (~node4(s109)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17734, 35654])).
% 5.62/5.16 tff(35662,plain,
% 5.62/5.16 (xuntil2p8(s109) | (~until2p7(s109))),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9780, 8293, 35661])).
% 5.62/5.16 tff(35663,plain,
% 5.62/5.16 (~until2p7(s109)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35662, 35660])).
% 5.62/5.16 tff(35664,plain,
% 5.62/5.16 (~xuntil2p8(s108)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9786, 35663])).
% 5.62/5.16 tff(35665,plain,
% 5.62/5.16 (~m_main_v_state(s109, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17572, 145, 35628])).
% 5.62/5.16 tff(35666,plain,
% 5.62/5.16 (~m_main_v_state(s108, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17595, 145, 35627])).
% 5.62/5.16 tff(35667,plain,
% 5.62/5.16 (m_main_v_state(s108, c_ready)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17599, 188, 35666])).
% 5.62/5.16 tff(35668,plain,
% 5.62/5.16 (~m_main_v_request(s108)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17588, 35667, 35665])).
% 5.62/5.16 tff(35669,plain,
% 5.62/5.16 (~node4(s108)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17579, 63, 35668])).
% 5.62/5.16 tff(35670,plain,
% 5.62/5.16 (xuntil2p8(s108) | (~until2p7(s108))),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9792, 8293, 35669])).
% 5.62/5.16 tff(35671,plain,
% 5.62/5.16 (~until2p7(s108)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35670, 35664])).
% 5.62/5.16 tff(35672,plain,
% 5.62/5.16 (~xuntil2p8(s107)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9798, 35671])).
% 5.62/5.16 tff(35673,plain,
% 5.62/5.16 (~node4(s107)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17628, 35666])).
% 5.62/5.16 tff(35674,plain,
% 5.62/5.16 (xuntil2p8(s107) | (~until2p7(s107))),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9804, 8293, 35673])).
% 5.62/5.16 tff(35675,plain,
% 5.62/5.16 (~until2p7(s107)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35674, 35672])).
% 5.62/5.16 tff(35676,plain,
% 5.62/5.16 (~xuntil2p8(s106)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9810, 35675])).
% 5.62/5.16 tff(35677,plain,
% 5.62/5.16 (~m_main_v_state(s107, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17476, 145, 35626])).
% 5.62/5.16 tff(35678,plain,
% 5.62/5.16 (~m_main_v_state(s106, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17503, 145, 35625])).
% 5.62/5.16 tff(35679,plain,
% 5.62/5.16 (~node1(s105)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[32280, 35678])).
% 5.62/5.16 tff(35680,plain,
% 5.62/5.16 (m_main_v_state(s106, c_ready)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[32288, 35679, 35678])).
% 5.62/5.16 tff(35681,plain,
% 5.62/5.16 (~m_main_v_request(s106)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17492, 35680, 35677])).
% 5.62/5.16 tff(35682,plain,
% 5.62/5.16 (~node4(s106)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17483, 63, 35681])).
% 5.62/5.16 tff(35683,plain,
% 5.62/5.16 (xuntil2p8(s106) | (~until2p7(s106))),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9816, 8293, 35682])).
% 5.62/5.16 tff(35684,plain,
% 5.62/5.16 (~until2p7(s106)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35683, 35676])).
% 5.62/5.16 tff(35685,plain,
% 5.62/5.16 (~xuntil2p8(s105)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9822, 35684])).
% 5.62/5.16 tff(35686,plain,
% 5.62/5.16 (~node4(s105)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17532, 35678])).
% 5.62/5.16 tff(35687,plain,
% 5.62/5.16 (xuntil2p8(s105) | (~until2p7(s105))),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9828, 8293, 35686])).
% 5.62/5.16 tff(35688,plain,
% 5.62/5.16 (~until2p7(s105)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35687, 35685])).
% 5.62/5.16 tff(35689,plain,
% 5.62/5.16 (~trans(s199, s105)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[11823, 35688, 11264])).
% 5.62/5.16 tff(35690,plain,
% 5.62/5.16 (~trans(s199, s112)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[12021, 35648, 11264])).
% 5.62/5.16 tff(35691,plain,
% 5.62/5.16 (~xuntil2p8(s104)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9834, 35688])).
% 5.62/5.16 tff(35692,plain,
% 5.62/5.16 (~m_main_v_state(s105, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17405, 145, 35624])).
% 5.62/5.16 tff(35693,plain,
% 5.62/5.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s104)) | node2(s199, s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s104)) | node2(s199, s104))),
% 5.62/5.16 inference(rewrite,[status(thm)],[])).
% 5.62/5.16 tff(35694,plain,
% 5.62/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s104)) | node2(s199, s104))),
% 5.62/5.16 inference(quant_inst,[status(thm)],[])).
% 5.62/5.16 tff(35695,plain,
% 5.62/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s104)) | node2(s199, s104)),
% 5.62/5.16 inference(modus_ponens,[status(thm)],[35694, 35693])).
% 5.62/5.16 tff(35696,plain,
% 5.62/5.16 (node2(s199, s104)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35695, 12057, 7])).
% 5.62/5.16 tff(35697,assumption,(~m_main_v_state(s105, c_busy)), introduced(assumption)).
% 5.62/5.16 tff(35698,plain,
% 5.62/5.16 (until2p7(s104)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[12065, 12057, 11264])).
% 5.62/5.16 tff(35699,assumption,(~xuntil2p8(s104)), introduced(assumption)).
% 5.62/5.16 tff(35700,plain,
% 5.62/5.16 (node4(s104) | (~until2p7(s104))),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[9840, 8293, 35699])).
% 5.62/5.16 tff(35701,plain,
% 5.62/5.16 (node4(s104)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35700, 35698])).
% 5.62/5.16 tff(35702,plain,
% 5.62/5.16 (m_main_v_request(s104)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17422, 63, 35701])).
% 5.62/5.16 tff(35703,plain,
% 5.62/5.16 (~m_main_v_state(s104, c_ready)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17418, 35702, 35697])).
% 5.62/5.16 tff(35704,plain,
% 5.62/5.16 (always3(s104)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[24480, 12057])).
% 5.62/5.16 tff(35705,plain,
% 5.62/5.16 (~m_main_v_state(s104, c_busy)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[17397, 145, 35704])).
% 5.62/5.16 tff(35706,plain,
% 5.62/5.16 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (m_main_v_state(s104, c_busy) | m_main_v_state(s104, c_ready) | node1(s199) | (~node2(s199, s104)))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s104, c_busy) | m_main_v_state(s104, c_ready) | node1(s199) | (~node2(s199, s104)))),
% 5.62/5.16 inference(rewrite,[status(thm)],[])).
% 5.62/5.16 tff(35707,plain,
% 5.62/5.16 ((node1(s199) | m_main_v_state(s104, c_ready) | (~node2(s199, s104)) | m_main_v_state(s104, c_busy)) <=> (m_main_v_state(s104, c_busy) | m_main_v_state(s104, c_ready) | node1(s199) | (~node2(s199, s104)))),
% 5.62/5.16 inference(rewrite,[status(thm)],[])).
% 5.62/5.16 tff(35708,plain,
% 5.62/5.16 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s199) | m_main_v_state(s104, c_ready) | (~node2(s199, s104)) | m_main_v_state(s104, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (m_main_v_state(s104, c_busy) | m_main_v_state(s104, c_ready) | node1(s199) | (~node2(s199, s104))))),
% 5.62/5.16 inference(monotonicity,[status(thm)],[35707])).
% 5.62/5.16 tff(35709,plain,
% 5.62/5.16 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s199) | m_main_v_state(s104, c_ready) | (~node2(s199, s104)) | m_main_v_state(s104, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s104, c_busy) | m_main_v_state(s104, c_ready) | node1(s199) | (~node2(s199, s104)))),
% 5.62/5.16 inference(transitivity,[status(thm)],[35708, 35706])).
% 5.62/5.16 tff(35710,plain,
% 5.62/5.16 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s199) | m_main_v_state(s104, c_ready) | (~node2(s199, s104)) | m_main_v_state(s104, c_busy))),
% 5.62/5.16 inference(quant_inst,[status(thm)],[])).
% 5.62/5.16 tff(35711,plain,
% 5.62/5.16 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s104, c_busy) | m_main_v_state(s104, c_ready) | node1(s199) | (~node2(s199, s104))),
% 5.62/5.16 inference(modus_ponens,[status(thm)],[35710, 35709])).
% 5.62/5.16 tff(35712,plain,
% 5.62/5.16 ($false),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35711, 2250, 35705, 35703, 24176, 35696])).
% 5.62/5.16 tff(35713,plain,((~trans(s199, s104)) | node1(s199) | m_main_v_state(s105, c_busy) | xuntil2p8(s104) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.16 tff(35714,plain,
% 5.62/5.16 (~trans(s199, s104)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[35713, 35692, 24176, 35691, 11264])).
% 5.62/5.16 tff(35715,plain,
% 5.62/5.16 (~trans(s199, s109)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[13176, 35663, 11264])).
% 5.62/5.16 tff(35716,plain,
% 5.62/5.16 (~trans(s199, s110)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[12142, 35659, 11264])).
% 5.62/5.16 tff(35717,plain,
% 5.62/5.16 (~always3(s101)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5752, 24505])).
% 5.62/5.16 tff(35718,plain,
% 5.62/5.16 (~always3(s100)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5764, 35717])).
% 5.62/5.16 tff(35719,plain,
% 5.62/5.16 (~always3(s99)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5776, 35718])).
% 5.62/5.16 tff(35720,plain,
% 5.62/5.16 (~always3(s98)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5788, 35719])).
% 5.62/5.16 tff(35721,plain,
% 5.62/5.16 (~always3(s97)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5800, 35720])).
% 5.62/5.16 tff(35722,plain,
% 5.62/5.16 (~always3(s96)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5812, 35721])).
% 5.62/5.16 tff(35723,plain,
% 5.62/5.16 (~always3(s95)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5824, 35722])).
% 5.62/5.16 tff(35724,plain,
% 5.62/5.16 (~always3(s94)),
% 5.62/5.16 inference(unit_resolution,[status(thm)],[5836, 35723])).
% 5.62/5.17 tff(35725,plain,
% 5.62/5.17 (~always3(s93)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5848, 35724])).
% 5.62/5.17 tff(35726,plain,
% 5.62/5.17 (~always3(s92)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5860, 35725])).
% 5.62/5.17 tff(35727,plain,
% 5.62/5.17 (~always3(s91)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5872, 35726])).
% 5.62/5.17 tff(35728,plain,
% 5.62/5.17 (~always3(s90)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5884, 35727])).
% 5.62/5.17 tff(35729,plain,
% 5.62/5.17 (~always3(s89)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5896, 35728])).
% 5.62/5.17 tff(35730,plain,
% 5.62/5.17 (~always3(s88)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5908, 35729])).
% 5.62/5.17 tff(35731,plain,
% 5.62/5.17 (~always3(s87)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5920, 35730])).
% 5.62/5.17 tff(35732,plain,
% 5.62/5.17 (~always3(s86)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5932, 35731])).
% 5.62/5.17 tff(35733,plain,
% 5.62/5.17 (~always3(s85)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5944, 35732])).
% 5.62/5.17 tff(35734,plain,
% 5.62/5.17 (~always3(s84)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5956, 35733])).
% 5.62/5.17 tff(35735,plain,
% 5.62/5.17 (~always3(s83)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5968, 35734])).
% 5.62/5.17 tff(35736,plain,
% 5.62/5.17 (~always3(s82)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5980, 35735])).
% 5.62/5.17 tff(35737,plain,
% 5.62/5.17 (~always3(s81)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5992, 35736])).
% 5.62/5.17 tff(35738,plain,
% 5.62/5.17 (~always3(s80)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[6004, 35737])).
% 5.62/5.17 tff(35739,plain,
% 5.62/5.17 (~always3(s79)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[6016, 35738])).
% 5.62/5.17 tff(35740,plain,
% 5.62/5.17 (~always3(s78)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[6028, 35739])).
% 5.62/5.17 tff(35741,plain,
% 5.62/5.17 (~always3(s77)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[6040, 35740])).
% 5.62/5.17 tff(35742,plain,
% 5.62/5.17 (~trans(s199, s82)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24346, 35736])).
% 5.62/5.17 tff(35743,plain,
% 5.62/5.17 (~trans(s199, s95)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24356, 35723])).
% 5.62/5.17 tff(35744,plain,
% 5.62/5.17 (~trans(s199, s88)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24373, 35730])).
% 5.62/5.17 tff(35745,plain,
% 5.62/5.17 (~trans(s199, s81)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24556, 35737])).
% 5.62/5.17 tff(35746,plain,
% 5.62/5.17 (~trans(s199, s98)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24397, 35720])).
% 5.62/5.17 tff(35747,plain,
% 5.62/5.17 (~trans(s199, s84)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24407, 35734])).
% 5.62/5.17 tff(35748,plain,
% 5.62/5.17 (~trans(s199, s94)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24442, 35724])).
% 5.62/5.17 tff(35749,plain,
% 5.62/5.17 (~trans(s199, s97)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24456, 35721])).
% 5.62/5.17 tff(35750,plain,
% 5.62/5.17 (~trans(s199, s80)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24573, 35738])).
% 5.62/5.17 tff(35751,plain,
% 5.62/5.17 (~trans(s199, s83)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24742, 35735])).
% 5.62/5.17 tff(35752,plain,
% 5.62/5.17 (~trans(s199, s90)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24491, 35728])).
% 5.62/5.17 tff(35753,plain,
% 5.62/5.17 (~trans(s199, s85)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24502, 35733])).
% 5.62/5.17 tff(35754,plain,
% 5.62/5.17 (~trans(s199, s102)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24514, 24505])).
% 5.62/5.17 tff(35755,plain,
% 5.62/5.17 (~trans(s199, s87)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24730, 35731])).
% 5.62/5.17 tff(35756,plain,
% 5.62/5.17 (~trans(s199, s99)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24544, 35719])).
% 5.62/5.17 tff(35757,plain,
% 5.62/5.17 (~trans(s199, s86)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24587, 35732])).
% 5.62/5.17 tff(35758,plain,
% 5.62/5.17 (~trans(s199, s89)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24654, 35729])).
% 5.62/5.17 tff(35759,plain,
% 5.62/5.17 (~trans(s199, s91)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24630, 35727])).
% 5.62/5.17 tff(35760,plain,
% 5.62/5.17 (~trans(s199, s101)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24602, 35717])).
% 5.62/5.17 tff(35761,plain,
% 5.62/5.17 (~trans(s199, s92)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24671, 35726])).
% 5.62/5.17 tff(35762,plain,
% 5.62/5.17 (~trans(s199, s100)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24753, 35718])).
% 5.62/5.17 tff(35763,plain,
% 5.62/5.17 (~trans(s199, s79)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24384, 35739])).
% 5.62/5.17 tff(35764,plain,
% 5.62/5.17 (trans(s199, s77)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[35620, 35763, 11264, 13665, 13662, 32339, 13656, 13655, 13554, 13648, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13547, 13626, 13624, 13622, 35762, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 35761, 35760, 13598, 13597, 13594, 13591, 13590, 35759, 13588, 13587, 13583, 35758, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 35757, 13571, 13570, 35756, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 35755, 13553, 35754, 13551, 35753, 35752, 13548, 35751, 13546, 13545, 13544, 35750, 35749, 13541, 13540, 13535, 35748, 13532, 13530, 13527, 13543, 13525, 35747, 35746, 13514, 13644, 13512, 13508, 35745, 35744, 13503, 13502, 13501, 35743, 35742, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474])).
% 5.62/5.17 tff(35765,plain,
% 5.62/5.17 ($false),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24612, 35764, 35741])).
% 5.62/5.17 tff(35766,plain,(always3(s102) | (~xuntil6(s199)) | trans(s199, s63) | trans(s199, s36) | trans(s199, s117) | trans(s199, s50) | trans(s199, s110) | trans(s199, s109) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s49) | node1(s199) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s104) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s4) | trans(s199, s45) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s27) | trans(s199, s42) | trans(s199, s75) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s112) | trans(s199, s105) | trans(s199, s66) | trans(s199, s111) | trans(s199, s30) | trans(s199, s37) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s38) | trans(s199, s46) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s5) | trans(s199, s61) | (~until5(s39)) | node4(s199)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.17 tff(35767,plain,
% 5.62/5.17 (always3(s102)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[35766, 35716, 13665, 13662, 13656, 13655, 11264, 35715, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 35714, 13626, 13624, 13622, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13598, 13597, 13594, 13591, 13590, 13588, 13587, 13583, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13571, 13570, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 13553, 13551, 13548, 13546, 13545, 13544, 13541, 13540, 13535, 13532, 13530, 13527, 35690, 35689, 13514, 35651, 13512, 13508, 13503, 13502, 13501, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474])).
% 5.62/5.17 tff(35768,plain,
% 5.62/5.17 (always3(s103)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5740, 35767])).
% 5.62/5.17 tff(35769,plain,
% 5.62/5.17 (always3(s104)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5728, 35768])).
% 5.62/5.17 tff(35770,plain,
% 5.62/5.17 (~m_main_v_state(s104, c_busy)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17397, 145, 35769])).
% 5.62/5.17 tff(35771,plain,
% 5.62/5.17 (~m_main_v_state(s103, c_busy)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9872, 145, 35768])).
% 5.62/5.17 tff(35772,plain,
% 5.62/5.17 (m_main_v_state(s103, c_ready)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17446, 188, 35771])).
% 5.62/5.17 tff(35773,plain,
% 5.62/5.17 (~m_main_v_request(s103)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17440, 35772, 35770])).
% 5.62/5.17 tff(35774,plain,
% 5.62/5.17 (~node4(s103)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17431, 63, 35773])).
% 5.62/5.17 tff(35775,plain,
% 5.62/5.17 (m_main_v_state(s104, c_ready)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17409, 188, 35770])).
% 5.62/5.17 tff(35776,plain,
% 5.62/5.17 (~m_main_v_request(s104)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17418, 35775, 35692])).
% 5.62/5.17 tff(35777,plain,
% 5.62/5.17 (~node4(s104)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17422, 63, 35776])).
% 5.62/5.17 tff(35778,plain,
% 5.62/5.17 (node4(s104) | (~until2p7(s104))),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9840, 8293, 35691])).
% 5.62/5.17 tff(35779,plain,
% 5.62/5.17 (~until2p7(s104)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[35778, 35777])).
% 5.62/5.17 tff(35780,plain,
% 5.62/5.17 (~xuntil2p8(s103)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9846, 35779])).
% 5.62/5.17 tff(35781,plain,
% 5.62/5.17 (~until2p7(s103)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9852, 8293, 35780, 35774])).
% 5.62/5.17 tff(35782,plain,
% 5.62/5.17 (~xuntil2p8(s102)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9858, 35781])).
% 5.62/5.17 tff(35783,plain,
% 5.62/5.17 (~until2p7(s102)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9898, 35782])).
% 5.62/5.17 tff(35784,plain,
% 5.62/5.17 (~xuntil2p8(s101)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9903, 35783])).
% 5.62/5.17 tff(35785,plain,
% 5.62/5.17 (~trans(s199, s102)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[12120, 35783, 11264])).
% 5.62/5.17 tff(35786,plain,
% 5.62/5.17 (~m_main_v_state(s102, c_busy)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9888, 145, 35767])).
% 5.62/5.17 tff(35787,assumption,(~m_main_v_state(s102, c_busy)), introduced(assumption)).
% 5.62/5.17 tff(35788,plain,
% 5.62/5.17 (always3(s99)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24544, 12299])).
% 5.62/5.17 tff(35789,plain,
% 5.62/5.17 (always3(s100)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5776, 35788])).
% 5.62/5.17 tff(35790,plain,
% 5.62/5.17 (always3(s101)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5764, 35789])).
% 5.62/5.17 tff(35791,plain,
% 5.62/5.17 (~m_main_v_state(s101, c_busy)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17109, 145, 35790])).
% 5.62/5.17 tff(35792,plain,
% 5.62/5.17 (m_main_v_state(s101, c_ready)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17138, 188, 35791])).
% 5.62/5.17 tff(35793,plain,
% 5.62/5.17 (~node4(s100)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17132, 35791])).
% 5.62/5.17 tff(35794,plain,
% 5.62/5.17 (until2p7(s99)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[12307, 12299, 11264])).
% 5.62/5.17 tff(35795,plain,
% 5.62/5.17 (xuntil2p8(s99)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9968, 35794])).
% 5.62/5.17 tff(35796,plain,
% 5.62/5.17 (until2p7(s100)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9928, 35795])).
% 5.62/5.17 tff(35797,plain,
% 5.62/5.17 (node4(s100) | xuntil2p8(s100)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9922, 8293, 35796])).
% 5.62/5.17 tff(35798,plain,
% 5.62/5.17 (xuntil2p8(s100)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[35797, 35793])).
% 5.62/5.17 tff(35799,plain,
% 5.62/5.17 (until2p7(s101)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9916, 35798])).
% 5.62/5.17 tff(35800,assumption,(~xuntil2p8(s101)), introduced(assumption)).
% 5.62/5.17 tff(35801,plain,
% 5.62/5.17 (node4(s101) | (~until2p7(s101))),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9910, 8293, 35800])).
% 5.62/5.17 tff(35802,plain,
% 5.62/5.17 (node4(s101)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[35801, 35799])).
% 5.62/5.17 tff(35803,plain,
% 5.62/5.17 (m_main_v_request(s101)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17151, 63, 35802])).
% 5.62/5.17 tff(35804,plain,
% 5.62/5.17 ($false),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17147, 35803, 35792, 35787])).
% 5.62/5.17 tff(35805,plain,((~trans(s199, s99)) | m_main_v_state(s102, c_busy) | xuntil2p8(s101) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.17 tff(35806,plain,
% 5.62/5.17 (~trans(s199, s99)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[35805, 35786, 35784, 11264])).
% 5.62/5.17 tff(35807,plain,
% 5.62/5.17 (always3(s92)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24671, 13058])).
% 5.62/5.17 tff(35808,plain,
% 5.62/5.17 (always3(s93)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5860, 35807])).
% 5.62/5.17 tff(35809,plain,
% 5.62/5.17 (always3(s94)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5848, 35808])).
% 5.62/5.17 tff(35810,plain,
% 5.62/5.17 (always3(s95)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5836, 35809])).
% 5.62/5.17 tff(35811,plain,
% 5.62/5.17 (always3(s96)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5824, 35810])).
% 5.62/5.17 tff(35812,plain,
% 5.62/5.17 (always3(s97)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5812, 35811])).
% 5.62/5.17 tff(35813,plain,
% 5.62/5.17 (~m_main_v_state(s97, c_busy)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[10016, 145, 35812])).
% 5.62/5.17 tff(35814,plain,
% 5.62/5.17 (~m_main_v_state(s96, c_busy)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17229, 145, 35811])).
% 5.62/5.17 tff(35815,plain,
% 5.62/5.17 (m_main_v_state(s96, c_ready)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17233, 188, 35814])).
% 5.62/5.17 tff(35816,plain,
% 5.62/5.17 (~m_main_v_request(s96)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17242, 35815, 35813])).
% 5.62/5.17 tff(35817,plain,
% 5.62/5.17 (~node4(s96)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17246, 63, 35816])).
% 5.62/5.17 tff(35818,plain,
% 5.62/5.17 (~m_main_v_state(s95, c_busy)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17274, 145, 35810])).
% 5.62/5.17 tff(35819,plain,
% 5.62/5.17 (~node4(s94)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17309, 35818])).
% 5.62/5.17 tff(35820,plain,
% 5.62/5.17 (~m_main_v_state(s93, c_busy)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[10098, 145, 35808])).
% 5.62/5.17 tff(35821,plain,
% 5.62/5.17 (~m_main_v_state(s92, c_busy)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17332, 145, 35807])).
% 5.62/5.17 tff(35822,plain,
% 5.62/5.17 (~node1(s91)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[32138, 35821])).
% 5.62/5.17 tff(35823,plain,
% 5.62/5.17 (m_main_v_state(s92, c_ready)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[32146, 35822, 35821])).
% 5.62/5.17 tff(35824,plain,
% 5.62/5.17 (~m_main_v_request(s92)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17347, 35823, 35820])).
% 5.62/5.17 tff(35825,plain,
% 5.62/5.17 (~node4(s92)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17351, 63, 35824])).
% 5.62/5.17 tff(35826,plain,
% 5.62/5.17 (until2p7(s92)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[13066, 13058, 11264])).
% 5.62/5.17 tff(35827,plain,
% 5.62/5.17 (node4(s92) | xuntil2p8(s92)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[10120, 8293, 35826])).
% 5.62/5.17 tff(35828,plain,
% 5.62/5.17 (xuntil2p8(s92)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[35827, 35825])).
% 5.62/5.17 tff(35829,plain,
% 5.62/5.17 (until2p7(s93)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[10113, 35828])).
% 5.62/5.17 tff(35830,plain,
% 5.62/5.17 (xuntil2p8(s93)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[10108, 35829])).
% 5.62/5.17 tff(35831,plain,
% 5.62/5.17 (until2p7(s94)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[10068, 35830])).
% 5.62/5.17 tff(35832,plain,
% 5.62/5.17 (xuntil2p8(s94)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[10062, 8293, 35831, 35819])).
% 5.62/5.17 tff(35833,plain,
% 5.62/5.17 (until2p7(s95)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[10056, 35832])).
% 5.62/5.17 tff(35834,plain,
% 5.62/5.17 (m_main_v_state(s95, c_ready)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[32166, 35818])).
% 5.62/5.17 tff(35835,plain,
% 5.62/5.17 (~m_main_v_request(s95)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17267, 35834, 35814])).
% 5.62/5.17 tff(35836,plain,
% 5.62/5.17 (~node4(s95)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17258, 63, 35835])).
% 5.62/5.17 tff(35837,plain,
% 5.62/5.17 (xuntil2p8(s95) | (~until2p7(s95))),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[10050, 8293, 35836])).
% 5.62/5.17 tff(35838,plain,
% 5.62/5.17 (xuntil2p8(s95)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[35837, 35833])).
% 5.62/5.17 tff(35839,plain,
% 5.62/5.17 (until2p7(s96)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[10044, 35838])).
% 5.62/5.17 tff(35840,plain,
% 5.62/5.17 (xuntil2p8(s96)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[10038, 8293, 35839, 35817])).
% 5.62/5.17 tff(35841,plain,
% 5.62/5.17 (until2p7(s97)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[10031, 35840])).
% 5.62/5.17 tff(35842,plain,
% 5.62/5.17 (xuntil2p8(s97)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[10026, 35841])).
% 5.62/5.17 tff(35843,plain,
% 5.62/5.17 (until2p7(s98)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9986, 35842])).
% 5.62/5.17 tff(35844,plain,
% 5.62/5.17 (always3(s98)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5800, 35812])).
% 5.62/5.17 tff(35845,plain,
% 5.62/5.17 (always3(s99)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5788, 35844])).
% 5.62/5.17 tff(35846,plain,
% 5.62/5.17 (always3(s100)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5776, 35845])).
% 5.62/5.17 tff(35847,plain,
% 5.62/5.17 (always3(s101)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5764, 35846])).
% 5.62/5.17 tff(35848,plain,
% 5.62/5.17 (~m_main_v_state(s101, c_busy)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17109, 145, 35847])).
% 5.62/5.17 tff(35849,plain,
% 5.62/5.17 (~node4(s100)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17132, 35848])).
% 5.62/5.17 tff(35850,plain,
% 5.62/5.17 (m_main_v_state(s101, c_ready)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17138, 188, 35848])).
% 5.62/5.17 tff(35851,plain,
% 5.62/5.17 (~m_main_v_request(s101)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17147, 35850, 35787])).
% 5.62/5.17 tff(35852,plain,
% 5.62/5.17 (~node4(s101)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17151, 63, 35851])).
% 5.62/5.17 tff(35853,plain,
% 5.62/5.17 (~until2p7(s101)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[35801, 35852])).
% 5.62/5.17 tff(35854,plain,
% 5.62/5.17 (~xuntil2p8(s100)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9916, 35853])).
% 5.62/5.17 tff(35855,plain,
% 5.62/5.17 (~until2p7(s100)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9922, 8293, 35854, 35849])).
% 5.62/5.17 tff(35856,plain,
% 5.62/5.17 (~xuntil2p8(s99)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9928, 35855])).
% 5.62/5.17 tff(35857,plain,
% 5.62/5.17 (~until2p7(s99)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9968, 35856])).
% 5.62/5.17 tff(35858,plain,
% 5.62/5.17 (~xuntil2p8(s98)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9973, 35857])).
% 5.62/5.17 tff(35859,plain,
% 5.62/5.17 (~m_main_v_state(s99, c_busy)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9958, 145, 35845])).
% 5.62/5.17 tff(35860,plain,
% 5.62/5.17 (~m_main_v_state(s98, c_busy)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[10000, 145, 35844])).
% 5.62/5.17 tff(35861,plain,
% 5.62/5.17 (m_main_v_state(s98, c_ready)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17192, 188, 35860])).
% 5.62/5.17 tff(35862,plain,
% 5.62/5.17 (~m_main_v_request(s98)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17201, 35861, 35859])).
% 5.62/5.17 tff(35863,plain,
% 5.62/5.17 (~node4(s98)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17205, 63, 35862])).
% 5.62/5.17 tff(35864,plain,
% 5.62/5.17 (xuntil2p8(s98) | (~until2p7(s98))),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9980, 8293, 35863])).
% 5.62/5.17 tff(35865,plain,
% 5.62/5.17 ($false),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[35864, 35858, 35843])).
% 5.62/5.17 tff(35866,plain,((~trans(s199, s92)) | xuntil2p8(s101) | m_main_v_state(s102, c_busy) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.62/5.17 tff(35867,plain,
% 5.62/5.17 (~trans(s199, s92)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[35866, 35784, 35786, 11264])).
% 5.62/5.17 tff(35868,plain,
% 5.62/5.17 (~always3(s90)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5884, 17071])).
% 5.62/5.17 tff(35869,plain,
% 5.62/5.17 (~always3(s89)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5896, 35868])).
% 5.62/5.17 tff(35870,plain,
% 5.62/5.17 (~always3(s88)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5908, 35869])).
% 5.62/5.17 tff(35871,plain,
% 5.62/5.17 (~always3(s87)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5920, 35870])).
% 5.62/5.17 tff(35872,plain,
% 5.62/5.17 (~always3(s86)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5932, 35871])).
% 5.62/5.17 tff(35873,plain,
% 5.62/5.17 (~always3(s85)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5944, 35872])).
% 5.62/5.17 tff(35874,plain,
% 5.62/5.17 (~always3(s84)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5956, 35873])).
% 5.62/5.17 tff(35875,plain,
% 5.62/5.17 (~always3(s83)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5968, 35874])).
% 5.62/5.17 tff(35876,plain,
% 5.62/5.17 (~always3(s82)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5980, 35875])).
% 5.62/5.17 tff(35877,plain,
% 5.62/5.17 (~always3(s81)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5992, 35876])).
% 5.62/5.17 tff(35878,plain,
% 5.62/5.17 (~always3(s80)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[6004, 35877])).
% 5.62/5.17 tff(35879,plain,
% 5.62/5.17 (~always3(s79)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[6016, 35878])).
% 5.62/5.17 tff(35880,plain,
% 5.62/5.17 (~always3(s78)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[6028, 35879])).
% 5.62/5.17 tff(35881,plain,
% 5.62/5.17 (~always3(s77)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[6040, 35880])).
% 5.62/5.17 tff(35882,plain,
% 5.62/5.17 (~trans(s199, s82)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24346, 35876])).
% 5.62/5.17 tff(35883,plain,
% 5.62/5.17 (~trans(s199, s95)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24356, 17066])).
% 5.62/5.17 tff(35884,plain,
% 5.62/5.17 (~trans(s199, s88)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24373, 35870])).
% 5.62/5.17 tff(35885,plain,
% 5.62/5.17 (~trans(s199, s81)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24556, 35877])).
% 5.62/5.17 tff(35886,plain,
% 5.62/5.17 (~trans(s199, s98)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24397, 17059])).
% 5.62/5.17 tff(35887,plain,
% 5.62/5.17 (~trans(s199, s84)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24407, 35874])).
% 5.62/5.17 tff(35888,plain,
% 5.62/5.17 (~trans(s199, s94)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24442, 17067])).
% 5.62/5.17 tff(35889,plain,
% 5.62/5.17 (~trans(s199, s97)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24456, 17064])).
% 5.62/5.17 tff(35890,plain,
% 5.62/5.17 (~trans(s199, s80)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24573, 35878])).
% 5.62/5.17 tff(35891,plain,
% 5.62/5.17 (~trans(s199, s83)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24742, 35875])).
% 5.62/5.17 tff(35892,plain,
% 5.62/5.17 (~trans(s199, s90)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24491, 35868])).
% 5.62/5.17 tff(35893,plain,
% 5.62/5.17 (~trans(s199, s85)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24502, 35873])).
% 5.62/5.17 tff(35894,plain,
% 5.62/5.17 (~trans(s199, s87)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24730, 35871])).
% 5.62/5.17 tff(35895,plain,
% 5.62/5.17 (~trans(s199, s86)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24587, 35872])).
% 5.62/5.17 tff(35896,plain,
% 5.62/5.17 (~trans(s199, s91)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24630, 17071])).
% 5.62/5.17 tff(35897,plain,
% 5.62/5.17 (~trans(s199, s89)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24654, 35869])).
% 5.62/5.17 tff(35898,plain,
% 5.62/5.17 (~trans(s199, s79)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24384, 35879])).
% 5.62/5.17 tff(35899,plain,
% 5.62/5.17 (~trans(s199, s101)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24602, 17046])).
% 5.62/5.17 tff(35900,plain,
% 5.62/5.17 (~trans(s199, s100)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24753, 17047])).
% 5.62/5.17 tff(35901,plain,
% 5.62/5.17 ($false),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[35620, 35900, 35899, 11264, 13665, 13662, 32339, 13656, 13655, 13554, 13648, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13547, 13626, 13624, 13622, 13638, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13627, 13506, 13598, 13597, 13594, 13591, 13590, 13604, 13588, 13587, 13583, 13619, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13589, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 13654, 13553, 13552, 13551, 13550, 13549, 13548, 13658, 13546, 13545, 13544, 13582, 13542, 13541, 13540, 13535, 13534, 13532, 13530, 13527, 13543, 13525, 13518, 13515, 13514, 13644, 13512, 13508, 13572, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474])).
% 5.62/5.17 tff(35902,plain,(always3(s101) | (~xuntil6(s199)) | trans(s199, s63) | trans(s199, s36) | trans(s199, s117) | trans(s199, s50) | trans(s199, s110) | trans(s199, s109) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s49) | node1(s199) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s104) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s92) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s89) | trans(s199, s79) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s77) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s91) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s86) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s87) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s83) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s80) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s112) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s111) | trans(s199, s30) | trans(s199, s37) | trans(s199, s81) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s46) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s5) | trans(s199, s61) | (~until5(s39)) | node4(s199)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.17 tff(35903,plain,
% 5.62/5.17 (trans(s199, s77)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[35902, 35898, 13665, 13662, 13656, 13655, 13554, 13648, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13547, 13626, 13624, 13622, 13638, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13569, 17046, 13598, 13597, 13594, 13591, 13590, 35897, 13588, 13587, 13583, 35896, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 35895, 13571, 13570, 11264, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 35894, 13553, 13552, 13551, 35893, 35892, 13548, 35891, 13546, 13545, 13544, 35890, 35889, 13541, 13540, 13535, 35888, 13532, 13530, 13527, 13543, 13525, 35887, 35886, 13514, 13644, 13512, 13508, 35885, 35884, 13503, 13502, 13501, 35883, 35882, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474])).
% 5.62/5.17 tff(35904,plain,
% 5.62/5.17 ($false),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[24612, 35903, 35881])).
% 5.62/5.17 tff(35905,plain,(always3(s101) | trans(s199, s63) | trans(s199, s36) | trans(s199, s117) | trans(s199, s50) | trans(s199, s110) | trans(s199, s109) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s49) | node1(s199) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s104) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s92) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s99) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s4) | trans(s199, s45) | (~xuntil6(s199)) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s75) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s112) | trans(s199, s105) | trans(s199, s66) | trans(s199, s111) | trans(s199, s30) | trans(s199, s37) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s38) | trans(s199, s46) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s5) | trans(s199, s61) | (~until5(s39)) | node4(s199)), inference(lemma,lemma(discharge,[]))).
% 5.62/5.17 tff(35906,plain,
% 5.62/5.17 (always3(s101)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[35905, 35716, 13662, 13656, 13655, 13665, 35715, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 35714, 13626, 13624, 13622, 35867, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 35806, 13598, 13597, 13594, 13591, 13590, 13588, 13587, 13583, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13571, 13570, 11264, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 13553, 35785, 13551, 13548, 13546, 13545, 13544, 13541, 13540, 13535, 13532, 13530, 13527, 35690, 35689, 13514, 35651, 13512, 13508, 13503, 13502, 13501, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474])).
% 5.62/5.17 tff(35907,plain,
% 5.62/5.17 (~m_main_v_state(s101, c_busy)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17109, 145, 35906])).
% 5.62/5.17 tff(35908,plain,
% 5.62/5.17 (~node4(s100)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17132, 35907])).
% 5.62/5.17 tff(35909,plain,
% 5.62/5.17 (m_main_v_state(s101, c_ready)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17138, 188, 35907])).
% 5.62/5.17 tff(35910,plain,
% 5.62/5.17 (~m_main_v_request(s101)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17147, 35909, 35786])).
% 5.62/5.17 tff(35911,plain,
% 5.62/5.17 (~node4(s101)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[17151, 63, 35910])).
% 5.62/5.17 tff(35912,plain,
% 5.62/5.17 (node4(s101) | (~until2p7(s101))),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9910, 8293, 35784])).
% 5.62/5.17 tff(35913,plain,
% 5.62/5.17 (~until2p7(s101)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[35912, 35911])).
% 5.62/5.17 tff(35914,plain,
% 5.62/5.17 (~xuntil2p8(s100)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9916, 35913])).
% 5.62/5.17 tff(35915,plain,
% 5.62/5.17 (~until2p7(s100)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[9922, 8293, 35914, 35908])).
% 5.62/5.17 tff(35916,plain,
% 5.62/5.17 (~trans(s199, s100)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[13297, 35915, 11264])).
% 5.62/5.17 tff(35917,plain,
% 5.62/5.17 (~trans(s199, s101)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[12681, 35913, 11264])).
% 5.62/5.17 tff(35918,plain,
% 5.62/5.17 (~trans(s199, s103)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[13121, 35781, 11264])).
% 5.62/5.17 tff(35919,plain,
% 5.62/5.17 (~always3(s90)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5884, 17178])).
% 5.62/5.17 tff(35920,plain,
% 5.62/5.17 (~always3(s89)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5896, 35919])).
% 5.62/5.17 tff(35921,plain,
% 5.62/5.17 (~always3(s88)),
% 5.62/5.17 inference(unit_resolution,[status(thm)],[5908, 35920])).
% 5.70/5.17 tff(35922,plain,
% 5.70/5.17 (~always3(s87)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[5920, 35921])).
% 5.70/5.17 tff(35923,plain,
% 5.70/5.17 (~always3(s86)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[5932, 35922])).
% 5.70/5.17 tff(35924,plain,
% 5.70/5.17 (~always3(s85)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[5944, 35923])).
% 5.70/5.17 tff(35925,plain,
% 5.70/5.17 (~always3(s84)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[5956, 35924])).
% 5.70/5.17 tff(35926,plain,
% 5.70/5.17 (~always3(s83)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[5968, 35925])).
% 5.70/5.17 tff(35927,plain,
% 5.70/5.17 (~always3(s82)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[5980, 35926])).
% 5.70/5.17 tff(35928,plain,
% 5.70/5.17 (~always3(s81)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[5992, 35927])).
% 5.70/5.17 tff(35929,plain,
% 5.70/5.17 (~always3(s80)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[6004, 35928])).
% 5.70/5.17 tff(35930,plain,
% 5.70/5.17 (~always3(s79)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[6016, 35929])).
% 5.70/5.17 tff(35931,plain,
% 5.70/5.17 (~always3(s78)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[6028, 35930])).
% 5.70/5.17 tff(35932,plain,
% 5.70/5.17 (~always3(s77)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[6040, 35931])).
% 5.70/5.17 tff(35933,plain,
% 5.70/5.17 (~trans(s199, s82)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[24346, 35927])).
% 5.70/5.17 tff(35934,plain,
% 5.70/5.17 (~trans(s199, s95)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[24356, 17163])).
% 5.70/5.17 tff(35935,plain,
% 5.70/5.17 (~trans(s199, s88)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[24373, 35921])).
% 5.70/5.17 tff(35936,plain,
% 5.70/5.17 (~trans(s199, s81)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[24556, 35928])).
% 5.70/5.17 tff(35937,plain,
% 5.70/5.17 (~trans(s199, s98)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[24397, 17160])).
% 5.70/5.17 tff(35938,plain,
% 5.70/5.17 (~trans(s199, s84)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[24407, 35925])).
% 5.70/5.17 tff(35939,plain,
% 5.70/5.17 (~trans(s199, s94)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[24442, 17174])).
% 5.70/5.17 tff(35940,plain,
% 5.70/5.17 (~trans(s199, s97)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[24456, 17161])).
% 5.70/5.17 tff(35941,plain,
% 5.70/5.17 (~trans(s199, s80)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[24573, 35929])).
% 5.70/5.17 tff(35942,plain,
% 5.70/5.17 (~trans(s199, s83)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[24742, 35926])).
% 5.70/5.17 tff(35943,plain,
% 5.70/5.17 (~trans(s199, s90)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[24491, 35919])).
% 5.70/5.17 tff(35944,plain,
% 5.70/5.17 (~trans(s199, s85)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[24502, 35924])).
% 5.70/5.17 tff(35945,plain,
% 5.70/5.17 (~trans(s199, s87)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[24730, 35922])).
% 5.70/5.17 tff(35946,plain,
% 5.70/5.17 (~trans(s199, s86)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[24587, 35923])).
% 5.70/5.17 tff(35947,plain,
% 5.70/5.17 (~trans(s199, s89)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[24654, 35920])).
% 5.70/5.17 tff(35948,plain,
% 5.70/5.17 (~trans(s199, s91)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[24630, 17178])).
% 5.70/5.17 tff(35949,plain,
% 5.70/5.17 (~trans(s199, s96)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[24195, 17162])).
% 5.70/5.17 tff(35950,plain,
% 5.70/5.17 (~trans(s199, s79)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[24384, 35930])).
% 5.70/5.17 tff(35951,plain,
% 5.70/5.17 (trans(s199, s77)),
% 5.70/5.17 inference(unit_resolution,[status(thm)],[35517, 35950, 13665, 13662, 12474, 13593, 13641, 13539, 13656, 13655, 32825, 13648, 13652, 13651, 13650, 13563, 13491, 13647, 13646, 13645, 13625, 13440, 13660, 13547, 13436, 13639, 13643, 13637, 13636, 13635, 13509, 13633, 13632, 13631, 13488, 13507, 13628, 13638, 13626, 13634, 13624, 13622, 13621, 13601, 13603, 13642, 13617, 13616, 13615, 13614, 13613, 13439, 13630, 13653, 13609, 13608, 13612, 13606, 13605, 13659, 35949, 13495, 13513, 13602, 13600, 13598, 13597, 13596, 13595, 13594, 13599, 13611, 13591, 13590, 35948, 13588, 13587, 13666, 13607, 13583, 35947, 13581, 13610, 13579, 13657, 13577, 13576, 13575, 13574, 13573, 35946, 13571, 13570, 13569, 13663, 13567, 13592, 13565, 13564, 13537, 13562, 13561, 13560, 13559, 13586, 13557, 13556, 13555, 35945, 13553, 13552, 13551, 35944, 35943, 13548, 35942, 13546, 13545, 13544, 35941, 35940, 13541, 13540, 13496, 13538, 13536, 13531, 13535, 35939, 13532, 13521, 13530, 13505, 13527, 13543, 13525, 13524, 13523, 13522, 13661, 13520, 35938, 13517, 13516, 35937, 13514, 13644, 13512, 13511, 13510, 13618, 13508, 13529, 35936, 13568, 35935, 13503, 13502, 13501, 35934, 13499, 35933, 13497, 13566, 13580, 13494, 13493, 13492, 13649, 13490, 13578, 13487, 13486, 13629, 13438, 13437, 13640, 13435, 13434, 11264, 13378, 13664, 13554, 7086])).
% 5.70/5.18 tff(35952,plain,
% 5.70/5.18 ($false),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[24612, 35951, 35932])).
% 5.70/5.18 tff(35953,plain,(always3(s98) | trans(s199, s63) | trans(s199, s36) | until2p7(s199) | trans(s199, s131) | trans(s199, s78) | trans(s199, s118) | trans(s199, s117) | trans(s199, s50) | xuntil2p8(s108) | trans(s199, s109) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s144) | trans(s199, s123) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s176) | trans(s199, s93) | trans(s199, s141) | trans(s199, s104) | trans(s199, s147) | trans(s199, s49) | trans(s199, s103) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s165) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s139) | trans(s199, s143) | trans(s199, s53) | trans(s199, s92) | trans(s199, s71) | trans(s199, s166) | trans(s199, s28) | trans(s199, s47) | trans(s199, s115) | trans(s199, s113) | trans(s199, s101) | trans(s199, s152) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s145) | trans(s199, s163) | trans(s199, s178) | trans(s199, s124) | trans(s199, s136) | trans(s199, s20) | trans(s199, s44) | trans(s199, s173) | trans(s199, s40) | trans(s199, s33) | trans(s199, s100) | trans(s199, s138) | trans(s199, s114) | trans(s199, s121) | trans(s199, s129) | trans(s199, s0) | trans(s199, s74) | trans(s199, s151) | trans(s199, s160) | trans(s199, s65) | trans(s199, s125) | trans(s199, s127) | trans(s199, s23) | trans(s199, s57) | trans(s199, s29) | trans(s199, s72) | trans(s199, s175) | trans(s199, s172) | trans(s199, s3) | trans(s199, s51) | trans(s199, s137) | trans(s199, s69) | trans(s199, s135) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s171) | trans(s199, s52) | trans(s199, s122) | trans(s199, s11) | trans(s199, s48) | trans(s199, s161) | trans(s199, s59) | trans(s199, s116) | trans(s199, s158) | trans(s199, s31) | trans(s199, s170) | trans(s199, s132) | trans(s199, s54) | trans(s199, s64) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s75) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s26) | trans(s199, s34) | trans(s199, s120) | trans(s199, s164) | trans(s199, s153) | trans(s199, s150) | trans(s199, s19) | trans(s199, s68) | trans(s199, s156) | trans(s199, s35) | trans(s199, s155) | trans(s199, s21) | trans(s199, s112) | trans(s199, s105) | trans(s199, s180) | trans(s199, s179) | trans(s199, s177) | trans(s199, s154) | trans(s199, s181) | trans(s199, s142) | trans(s199, s174) | trans(s199, s66) | trans(s199, s111) | trans(s199, s30) | trans(s199, s159) | trans(s199, s128) | trans(s199, s169) | trans(s199, s37) | trans(s199, s157) | trans(s199, s149) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s130) | trans(s199, s162) | trans(s199, s119) | trans(s199, s134) | trans(s199, s146) | trans(s199, s38) | trans(s199, s148) | trans(s199, s126) | trans(s199, s46) | trans(s199, s140) | trans(s199, s183) | trans(s199, s182) | trans(s199, s167) | trans(s199, s16) | trans(s199, s15) | trans(s199, s168) | trans(s199, s8) | trans(s199, s32) | (~xuntil6(s199)) | trans(s199, s5) | trans(s199, s61) | trans(s199, s110) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 5.70/5.18 tff(35954,plain,
% 5.70/5.18 (always3(s98)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[35953, 35664, 13662, 24794, 31814, 32339, 32342, 13656, 13655, 13665, 35715, 13652, 13651, 13650, 32341, 32343, 13647, 13646, 13645, 32861, 13440, 31889, 35714, 32756, 13639, 35918, 13637, 13636, 13635, 32755, 13633, 13632, 13631, 31845, 32345, 13628, 35867, 13626, 32754, 13624, 13622, 31885, 31884, 35917, 31887, 13617, 13616, 13615, 31846, 32347, 32753, 31844, 31843, 13609, 13608, 32752, 13606, 13605, 35916, 31888, 31839, 31819, 31818, 13598, 13597, 31817, 31816, 13594, 31815, 31840, 13591, 13590, 13588, 13587, 32751, 32750, 13583, 13581, 31811, 13579, 31810, 13577, 13576, 13575, 13574, 13573, 13571, 13570, 35806, 32749, 13567, 31807, 13565, 13564, 31806, 13562, 31805, 31560, 13559, 32748, 31559, 13556, 13555, 13553, 35785, 13551, 13548, 13546, 13545, 13544, 13541, 13540, 31553, 31847, 31550, 31549, 13535, 13532, 31547, 13530, 31546, 13527, 35690, 35689, 32747, 32746, 32745, 31544, 32744, 31542, 32743, 13514, 35651, 13512, 31540, 31539, 32742, 13508, 31538, 31533, 13503, 13502, 13501, 31530, 31514, 31513, 31512, 31511, 13493, 31510, 31509, 13490, 31312, 32741, 32740, 32739, 13438, 13437, 32738, 13435, 13434, 11264, 13378, 13664, 35716, 7086])).
% 5.70/5.18 tff(35955,plain,
% 5.70/5.18 (always3(s99)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[5788, 35954])).
% 5.70/5.18 tff(35956,plain,
% 5.70/5.18 (~m_main_v_state(s99, c_busy)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[9958, 145, 35955])).
% 5.70/5.18 tff(35957,plain,
% 5.70/5.18 (~m_main_v_state(s98, c_busy)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[10000, 145, 35954])).
% 5.70/5.18 tff(35958,plain,
% 5.70/5.18 (m_main_v_state(s98, c_ready)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17192, 188, 35957])).
% 5.70/5.18 tff(35959,plain,
% 5.70/5.18 (~m_main_v_request(s98)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17201, 35958, 35956])).
% 5.70/5.18 tff(35960,plain,
% 5.70/5.18 (~node4(s98)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17205, 63, 35959])).
% 5.70/5.18 tff(35961,plain,
% 5.70/5.18 (~xuntil2p8(s99)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[9928, 35915])).
% 5.70/5.18 tff(35962,plain,
% 5.70/5.18 (~until2p7(s99)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[9968, 35961])).
% 5.70/5.18 tff(35963,plain,
% 5.70/5.18 (~xuntil2p8(s98)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[9973, 35962])).
% 5.70/5.18 tff(35964,plain,
% 5.70/5.18 (node4(s98) | (~until2p7(s98))),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[9980, 8293, 35963])).
% 5.70/5.18 tff(35965,plain,
% 5.70/5.18 (~until2p7(s98)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[35964, 35960])).
% 5.70/5.18 tff(35966,plain,
% 5.70/5.18 (~trans(s199, s98)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[11713, 35965, 11264])).
% 5.70/5.18 tff(35967,plain,
% 5.70/5.18 (~xuntil2p8(s97)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[9986, 35965])).
% 5.70/5.18 tff(35968,plain,
% 5.70/5.18 (~until2p7(s97)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[10026, 35967])).
% 5.70/5.18 tff(35969,plain,
% 5.70/5.18 (~xuntil2p8(s96)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[10031, 35968])).
% 5.70/5.18 tff(35970,plain,
% 5.70/5.18 (always3(s91)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[24630, 12849])).
% 5.70/5.18 tff(35971,plain,
% 5.70/5.18 (always3(s92)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[5872, 35970])).
% 5.70/5.18 tff(35972,plain,
% 5.70/5.18 (always3(s93)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[5860, 35971])).
% 5.70/5.18 tff(35973,plain,
% 5.70/5.18 (always3(s94)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[5848, 35972])).
% 5.70/5.18 tff(35974,plain,
% 5.70/5.18 (always3(s95)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[5836, 35973])).
% 5.70/5.18 tff(35975,plain,
% 5.70/5.18 (~m_main_v_state(s95, c_busy)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17274, 145, 35974])).
% 5.70/5.18 tff(35976,plain,
% 5.70/5.18 (~node4(s94)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17309, 35975])).
% 5.70/5.18 tff(35977,plain,
% 5.70/5.18 (always3(s96)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[5824, 35974])).
% 5.70/5.18 tff(35978,plain,
% 5.70/5.18 (always3(s97)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[5812, 35977])).
% 5.70/5.18 tff(35979,plain,
% 5.70/5.18 (~m_main_v_state(s97, c_busy)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[10016, 145, 35978])).
% 5.70/5.18 tff(35980,plain,
% 5.70/5.18 (~m_main_v_state(s96, c_busy)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17229, 145, 35977])).
% 5.70/5.18 tff(35981,plain,
% 5.70/5.18 (m_main_v_state(s96, c_ready)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17233, 188, 35980])).
% 5.70/5.18 tff(35982,plain,
% 5.70/5.18 (~m_main_v_request(s96)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17242, 35981, 35979])).
% 5.70/5.18 tff(35983,plain,
% 5.70/5.18 (~node4(s96)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17246, 63, 35982])).
% 5.70/5.18 tff(35984,assumption,(~xuntil2p8(s96)), introduced(assumption)).
% 5.70/5.18 tff(35985,plain,
% 5.70/5.18 (node4(s96) | (~until2p7(s96))),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[10038, 8293, 35984])).
% 5.70/5.18 tff(35986,plain,
% 5.70/5.18 (~until2p7(s96)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[35985, 35983])).
% 5.70/5.18 tff(35987,plain,
% 5.70/5.18 (~xuntil2p8(s95)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[10044, 35986])).
% 5.70/5.18 tff(35988,plain,
% 5.70/5.18 (m_main_v_state(s95, c_ready)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[32166, 35975])).
% 5.70/5.18 tff(35989,plain,
% 5.70/5.18 (~m_main_v_request(s95)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17267, 35988, 35980])).
% 5.70/5.18 tff(35990,plain,
% 5.70/5.18 (~node4(s95)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17258, 63, 35989])).
% 5.70/5.18 tff(35991,plain,
% 5.70/5.18 (xuntil2p8(s95) | (~until2p7(s95))),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[10050, 8293, 35990])).
% 5.70/5.18 tff(35992,plain,
% 5.70/5.18 (~until2p7(s95)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[35991, 35987])).
% 5.70/5.18 tff(35993,plain,
% 5.70/5.18 (~xuntil2p8(s94)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[10056, 35992])).
% 5.70/5.18 tff(35994,plain,
% 5.70/5.18 (~m_main_v_state(s92, c_busy)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17332, 145, 35971])).
% 5.70/5.18 tff(35995,plain,
% 5.70/5.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s91)) | node2(s199, s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s91)) | node2(s199, s91))),
% 5.70/5.18 inference(rewrite,[status(thm)],[])).
% 5.70/5.18 tff(35996,plain,
% 5.70/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s91)) | node2(s199, s91))),
% 5.70/5.18 inference(quant_inst,[status(thm)],[])).
% 5.70/5.18 tff(35997,plain,
% 5.70/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s91)) | node2(s199, s91)),
% 5.70/5.18 inference(modus_ponens,[status(thm)],[35996, 35995])).
% 5.70/5.18 tff(35998,plain,
% 5.70/5.18 (node2(s199, s91)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[35997, 12849, 7])).
% 5.70/5.18 tff(35999,plain,
% 5.70/5.18 (~m_main_v_state(s91, c_busy)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17000, 145, 35970])).
% 5.70/5.18 tff(36000,plain,
% 5.70/5.18 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (m_main_v_state(s91, c_busy) | m_main_v_state(s91, c_ready) | node1(s199) | (~node2(s199, s91)))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s91, c_busy) | m_main_v_state(s91, c_ready) | node1(s199) | (~node2(s199, s91)))),
% 5.70/5.18 inference(rewrite,[status(thm)],[])).
% 5.70/5.18 tff(36001,plain,
% 5.70/5.18 ((node1(s199) | m_main_v_state(s91, c_ready) | (~node2(s199, s91)) | m_main_v_state(s91, c_busy)) <=> (m_main_v_state(s91, c_busy) | m_main_v_state(s91, c_ready) | node1(s199) | (~node2(s199, s91)))),
% 5.70/5.18 inference(rewrite,[status(thm)],[])).
% 5.70/5.18 tff(36002,plain,
% 5.70/5.18 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s199) | m_main_v_state(s91, c_ready) | (~node2(s199, s91)) | m_main_v_state(s91, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (m_main_v_state(s91, c_busy) | m_main_v_state(s91, c_ready) | node1(s199) | (~node2(s199, s91))))),
% 5.70/5.18 inference(monotonicity,[status(thm)],[36001])).
% 5.70/5.18 tff(36003,plain,
% 5.70/5.18 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s199) | m_main_v_state(s91, c_ready) | (~node2(s199, s91)) | m_main_v_state(s91, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s91, c_busy) | m_main_v_state(s91, c_ready) | node1(s199) | (~node2(s199, s91)))),
% 5.70/5.18 inference(transitivity,[status(thm)],[36002, 36000])).
% 5.70/5.18 tff(36004,plain,
% 5.70/5.18 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s199) | m_main_v_state(s91, c_ready) | (~node2(s199, s91)) | m_main_v_state(s91, c_busy))),
% 5.70/5.18 inference(quant_inst,[status(thm)],[])).
% 5.70/5.18 tff(36005,plain,
% 5.70/5.18 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s91, c_busy) | m_main_v_state(s91, c_ready) | node1(s199) | (~node2(s199, s91))),
% 5.70/5.18 inference(modus_ponens,[status(thm)],[36004, 36003])).
% 5.70/5.18 tff(36006,plain,
% 5.70/5.18 (m_main_v_state(s91, c_ready)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[36005, 2250, 35999, 24176, 35998])).
% 5.70/5.18 tff(36007,plain,
% 5.70/5.18 (~m_main_v_request(s91)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17368, 36006, 35994])).
% 5.70/5.18 tff(36008,plain,
% 5.70/5.18 (~node4(s91)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17359, 63, 36007])).
% 5.70/5.18 tff(36009,plain,
% 5.70/5.18 (until2p7(s91)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[12857, 12849, 11264])).
% 5.70/5.18 tff(36010,plain,
% 5.70/5.18 (node4(s91) | xuntil2p8(s91)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[10132, 8293, 36009])).
% 5.70/5.18 tff(36011,plain,
% 5.70/5.18 (xuntil2p8(s91)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[36010, 36008])).
% 5.70/5.18 tff(36012,plain,
% 5.70/5.18 (until2p7(s92)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[10126, 36011])).
% 5.70/5.18 tff(36013,plain,
% 5.70/5.18 (~m_main_v_state(s93, c_busy)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[10098, 145, 35972])).
% 5.70/5.18 tff(36014,plain,
% 5.70/5.18 (~node1(s91)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[32138, 35994])).
% 5.70/5.18 tff(36015,plain,
% 5.70/5.18 (m_main_v_state(s92, c_ready)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[32146, 36014, 35994])).
% 5.70/5.18 tff(36016,plain,
% 5.70/5.18 (~m_main_v_request(s92)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17347, 36015, 36013])).
% 5.70/5.18 tff(36017,plain,
% 5.70/5.18 (~node4(s92)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17351, 63, 36016])).
% 5.70/5.18 tff(36018,plain,
% 5.70/5.18 (xuntil2p8(s92) | (~until2p7(s92))),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[10120, 8293, 36017])).
% 5.70/5.18 tff(36019,plain,
% 5.70/5.18 (xuntil2p8(s92)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[36018, 36012])).
% 5.70/5.18 tff(36020,plain,
% 5.70/5.18 (until2p7(s93)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[10113, 36019])).
% 5.70/5.18 tff(36021,plain,
% 5.70/5.18 (xuntil2p8(s93)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[10108, 36020])).
% 5.70/5.18 tff(36022,plain,
% 5.70/5.18 (until2p7(s94)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[10068, 36021])).
% 5.70/5.18 tff(36023,plain,
% 5.70/5.18 ($false),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[10062, 8293, 36022, 35993, 35976])).
% 5.70/5.18 tff(36024,plain,((~trans(s199, s91)) | xuntil2p8(s96) | node1(s199) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.70/5.18 tff(36025,plain,
% 5.70/5.18 (~trans(s199, s91)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[36024, 35969, 24176, 11264])).
% 5.70/5.18 tff(36026,plain,
% 5.70/5.18 (always3(s89)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[24654, 12937])).
% 5.70/5.18 tff(36027,plain,
% 5.70/5.18 (always3(s90)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[5896, 36026])).
% 5.70/5.18 tff(36028,plain,
% 5.70/5.18 (always3(s91)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[5884, 36027])).
% 5.70/5.18 tff(36029,plain,
% 5.70/5.18 (always3(s92)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[5872, 36028])).
% 5.70/5.18 tff(36030,plain,
% 5.70/5.18 (~m_main_v_state(s92, c_busy)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17332, 145, 36029])).
% 5.70/5.18 tff(36031,plain,
% 5.70/5.18 (~m_main_v_state(s91, c_busy)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17000, 145, 36028])).
% 5.70/5.18 tff(36032,plain,
% 5.70/5.18 (m_main_v_state(s91, c_ready)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17374, 188, 36031])).
% 5.70/5.18 tff(36033,plain,
% 5.70/5.18 (~m_main_v_request(s91)),
% 5.70/5.18 inference(unit_resolution,[status(thm)],[17368, 36032, 36030])).
% 5.70/5.18 tff(36034,plain,
% 5.71/5.18 (~node4(s91)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17359, 63, 36033])).
% 5.71/5.18 tff(36035,plain,
% 5.71/5.18 (~m_main_v_state(s90, c_busy)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[16992, 145, 36027])).
% 5.71/5.18 tff(36036,plain,
% 5.71/5.18 (m_main_v_state(s90, c_ready)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17004, 188, 36035])).
% 5.71/5.18 tff(36037,plain,
% 5.71/5.18 (~m_main_v_request(s90)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17013, 36036, 36031])).
% 5.71/5.18 tff(36038,plain,
% 5.71/5.18 (~node4(s90)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17017, 63, 36037])).
% 5.71/5.18 tff(36039,plain,
% 5.71/5.18 (~m_main_v_state(s89, c_busy)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[16411, 145, 36026])).
% 5.71/5.18 tff(36040,plain,
% 5.71/5.18 (m_main_v_state(s89, c_ready)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[32102, 36039])).
% 5.71/5.18 tff(36041,plain,
% 5.71/5.18 (~m_main_v_request(s89)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17033, 36040, 36035])).
% 5.71/5.18 tff(36042,plain,
% 5.71/5.18 (~node4(s89)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17024, 63, 36041])).
% 5.71/5.18 tff(36043,plain,
% 5.71/5.18 (until2p7(s89)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[12945, 12937, 11264])).
% 5.71/5.18 tff(36044,plain,
% 5.71/5.18 (node4(s89) | xuntil2p8(s89)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10156, 8293, 36043])).
% 5.71/5.18 tff(36045,plain,
% 5.71/5.18 (xuntil2p8(s89)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[36044, 36042])).
% 5.71/5.18 tff(36046,plain,
% 5.71/5.18 (until2p7(s90)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10150, 36045])).
% 5.71/5.18 tff(36047,plain,
% 5.71/5.18 (xuntil2p8(s90)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10144, 8293, 36046, 36038])).
% 5.71/5.18 tff(36048,plain,
% 5.71/5.18 (until2p7(s91)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10138, 36047])).
% 5.71/5.18 tff(36049,plain,
% 5.71/5.18 (xuntil2p8(s91)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10132, 8293, 36048, 36034])).
% 5.71/5.18 tff(36050,plain,
% 5.71/5.18 (until2p7(s92)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10126, 36049])).
% 5.71/5.18 tff(36051,plain,
% 5.71/5.18 (always3(s93)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5860, 36029])).
% 5.71/5.18 tff(36052,plain,
% 5.71/5.18 (~m_main_v_state(s93, c_busy)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10098, 145, 36051])).
% 5.71/5.18 tff(36053,plain,
% 5.71/5.18 (~node1(s91)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[32138, 36030])).
% 5.71/5.18 tff(36054,plain,
% 5.71/5.18 (m_main_v_state(s92, c_ready)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[32146, 36053, 36030])).
% 5.71/5.18 tff(36055,plain,
% 5.71/5.18 (~m_main_v_request(s92)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17347, 36054, 36052])).
% 5.71/5.18 tff(36056,plain,
% 5.71/5.18 (~node4(s92)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17351, 63, 36055])).
% 5.71/5.18 tff(36057,plain,
% 5.71/5.18 (xuntil2p8(s92) | (~until2p7(s92))),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10120, 8293, 36056])).
% 5.71/5.18 tff(36058,plain,
% 5.71/5.18 (xuntil2p8(s92)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[36057, 36050])).
% 5.71/5.18 tff(36059,plain,
% 5.71/5.18 (always3(s94)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5848, 36051])).
% 5.71/5.18 tff(36060,plain,
% 5.71/5.18 (always3(s95)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5836, 36059])).
% 5.71/5.18 tff(36061,plain,
% 5.71/5.18 (~m_main_v_state(s95, c_busy)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17274, 145, 36060])).
% 5.71/5.18 tff(36062,plain,
% 5.71/5.18 (~node4(s94)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17309, 36061])).
% 5.71/5.18 tff(36063,plain,
% 5.71/5.18 (always3(s96)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5824, 36060])).
% 5.71/5.18 tff(36064,plain,
% 5.71/5.18 (always3(s97)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5812, 36063])).
% 5.71/5.18 tff(36065,plain,
% 5.71/5.18 (~m_main_v_state(s97, c_busy)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10016, 145, 36064])).
% 5.71/5.18 tff(36066,plain,
% 5.71/5.18 (~m_main_v_state(s96, c_busy)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17229, 145, 36063])).
% 5.71/5.18 tff(36067,plain,
% 5.71/5.18 (m_main_v_state(s96, c_ready)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17233, 188, 36066])).
% 5.71/5.18 tff(36068,plain,
% 5.71/5.18 (~m_main_v_request(s96)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17242, 36067, 36065])).
% 5.71/5.18 tff(36069,plain,
% 5.71/5.18 (~node4(s96)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17246, 63, 36068])).
% 5.71/5.18 tff(36070,plain,
% 5.71/5.18 (~until2p7(s96)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[35985, 36069])).
% 5.71/5.18 tff(36071,plain,
% 5.71/5.18 (~xuntil2p8(s95)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10044, 36070])).
% 5.71/5.18 tff(36072,plain,
% 5.71/5.18 (m_main_v_state(s95, c_ready)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[32166, 36061])).
% 5.71/5.18 tff(36073,plain,
% 5.71/5.18 (~m_main_v_request(s95)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17267, 36072, 36066])).
% 5.71/5.18 tff(36074,plain,
% 5.71/5.18 (~node4(s95)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17258, 63, 36073])).
% 5.71/5.18 tff(36075,plain,
% 5.71/5.18 (xuntil2p8(s95) | (~until2p7(s95))),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10050, 8293, 36074])).
% 5.71/5.18 tff(36076,plain,
% 5.71/5.18 (~until2p7(s95)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[36075, 36071])).
% 5.71/5.18 tff(36077,plain,
% 5.71/5.18 (~xuntil2p8(s94)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10056, 36076])).
% 5.71/5.18 tff(36078,plain,
% 5.71/5.18 (~until2p7(s94)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10062, 8293, 36077, 36062])).
% 5.71/5.18 tff(36079,plain,
% 5.71/5.18 (~xuntil2p8(s93)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10068, 36078])).
% 5.71/5.18 tff(36080,plain,
% 5.71/5.18 (~until2p7(s93)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10108, 36079])).
% 5.71/5.18 tff(36081,plain,
% 5.71/5.18 ($false),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10113, 36080, 36058])).
% 5.71/5.18 tff(36082,plain,((~trans(s199, s89)) | xuntil2p8(s96) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.71/5.18 tff(36083,plain,
% 5.71/5.18 (~trans(s199, s89)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[36082, 35969, 11264])).
% 5.71/5.18 tff(36084,plain,
% 5.71/5.18 (~trans(s199, s97)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[12010, 35968, 11264])).
% 5.71/5.18 tff(36085,plain,
% 5.71/5.18 (~always3(s92)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5860, 17086])).
% 5.71/5.18 tff(36086,plain,
% 5.71/5.18 (~always3(s91)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5872, 36085])).
% 5.71/5.18 tff(36087,plain,
% 5.71/5.18 (~always3(s90)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5884, 36086])).
% 5.71/5.18 tff(36088,plain,
% 5.71/5.18 (~always3(s89)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5896, 36087])).
% 5.71/5.18 tff(36089,plain,
% 5.71/5.18 (~always3(s88)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5908, 36088])).
% 5.71/5.18 tff(36090,plain,
% 5.71/5.18 (~always3(s87)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5920, 36089])).
% 5.71/5.18 tff(36091,plain,
% 5.71/5.18 (~always3(s86)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5932, 36090])).
% 5.71/5.18 tff(36092,plain,
% 5.71/5.18 (~always3(s85)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5944, 36091])).
% 5.71/5.18 tff(36093,plain,
% 5.71/5.18 (~always3(s84)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5956, 36092])).
% 5.71/5.18 tff(36094,plain,
% 5.71/5.18 (~always3(s83)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5968, 36093])).
% 5.71/5.18 tff(36095,plain,
% 5.71/5.18 (~always3(s82)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5980, 36094])).
% 5.71/5.18 tff(36096,plain,
% 5.71/5.18 (~always3(s81)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5992, 36095])).
% 5.71/5.18 tff(36097,plain,
% 5.71/5.18 (~always3(s80)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[6004, 36096])).
% 5.71/5.18 tff(36098,plain,
% 5.71/5.18 (~always3(s79)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[6016, 36097])).
% 5.71/5.18 tff(36099,plain,
% 5.71/5.18 (~always3(s78)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[6028, 36098])).
% 5.71/5.18 tff(36100,plain,
% 5.71/5.18 (~always3(s77)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[6040, 36099])).
% 5.71/5.18 tff(36101,plain,
% 5.71/5.18 (~trans(s199, s82)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[24346, 36095])).
% 5.71/5.18 tff(36102,plain,
% 5.71/5.18 (~trans(s199, s95)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[24356, 17078])).
% 5.71/5.18 tff(36103,plain,
% 5.71/5.18 (~trans(s199, s88)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[24373, 36089])).
% 5.71/5.18 tff(36104,plain,
% 5.71/5.18 (~trans(s199, s81)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[24556, 36096])).
% 5.71/5.18 tff(36105,plain,
% 5.71/5.18 (~trans(s199, s84)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[24407, 36093])).
% 5.71/5.18 tff(36106,plain,
% 5.71/5.18 (~trans(s199, s94)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[24442, 17079])).
% 5.71/5.18 tff(36107,plain,
% 5.71/5.18 (~trans(s199, s80)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[24573, 36097])).
% 5.71/5.18 tff(36108,plain,
% 5.71/5.18 (~trans(s199, s83)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[24742, 36094])).
% 5.71/5.18 tff(36109,plain,
% 5.71/5.18 (~trans(s199, s90)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[24491, 36087])).
% 5.71/5.18 tff(36110,plain,
% 5.71/5.18 (~trans(s199, s85)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[24502, 36092])).
% 5.71/5.18 tff(36111,plain,
% 5.71/5.18 (~trans(s199, s87)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[24730, 36090])).
% 5.71/5.18 tff(36112,plain,
% 5.71/5.18 (~trans(s199, s86)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[24587, 36091])).
% 5.71/5.18 tff(36113,plain,
% 5.71/5.18 (always3(s102)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[35766, 13554, 13665, 13662, 13656, 13655, 11264, 13648, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13547, 13626, 13624, 13622, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13598, 13597, 13594, 13591, 13590, 13588, 13587, 13583, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13571, 13570, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 13553, 13551, 13548, 13546, 13545, 13544, 13541, 13540, 13535, 13532, 13530, 13527, 13543, 13525, 13514, 13644, 13512, 13508, 13503, 13502, 13501, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474])).
% 5.71/5.18 tff(36114,plain,
% 5.71/5.18 (~m_main_v_state(s102, c_busy)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[9888, 145, 36113])).
% 5.71/5.18 tff(36115,plain,
% 5.71/5.18 (~trans(s199, s99)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[35805, 36114, 35800, 11264])).
% 5.71/5.18 tff(36116,plain,
% 5.71/5.18 (~trans(s199, s79)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[24384, 36098])).
% 5.71/5.18 tff(36117,plain,
% 5.71/5.18 (~trans(s199, s92)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[35866, 35800, 36114, 11264])).
% 5.71/5.18 tff(36118,plain,
% 5.71/5.18 (always3(s101)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[35902, 13569, 13665, 13662, 13656, 13655, 13554, 13648, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13547, 13626, 13624, 13622, 36117, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13627, 13506, 13598, 13597, 13594, 13591, 13590, 13604, 13588, 13587, 13583, 13619, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13589, 13571, 13570, 11264, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 13654, 13553, 13552, 13551, 13550, 13549, 13548, 13658, 13546, 13545, 13544, 13582, 13542, 13541, 13540, 13535, 13534, 13532, 13530, 13527, 13543, 13525, 13518, 13515, 13514, 13644, 13512, 13508, 13572, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474])).
% 5.71/5.18 tff(36119,plain,
% 5.71/5.18 (~m_main_v_state(s101, c_busy)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17109, 145, 36118])).
% 5.71/5.18 tff(36120,plain,
% 5.71/5.18 (~node4(s100)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17132, 36119])).
% 5.71/5.18 tff(36121,plain,
% 5.71/5.18 (m_main_v_state(s101, c_ready)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17138, 188, 36119])).
% 5.71/5.18 tff(36122,plain,
% 5.71/5.18 (~m_main_v_request(s101)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17147, 36121, 36114])).
% 5.71/5.18 tff(36123,plain,
% 5.71/5.18 (~node4(s101)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17151, 63, 36122])).
% 5.71/5.18 tff(36124,plain,
% 5.71/5.18 (~until2p7(s101)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[35801, 36123])).
% 5.71/5.18 tff(36125,plain,
% 5.71/5.18 (~xuntil2p8(s100)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[9916, 36124])).
% 5.71/5.18 tff(36126,plain,
% 5.71/5.18 (~trans(s199, s101)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[12681, 36124, 11264])).
% 5.71/5.18 tff(36127,plain,
% 5.71/5.18 (trans(s199, s100)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[35620, 36126, 11264, 13665, 13662, 32339, 13656, 13655, 13554, 13648, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13547, 13626, 13624, 13622, 36117, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13627, 13506, 13598, 13597, 13594, 13591, 13590, 13604, 13588, 13587, 13583, 13619, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13589, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 13654, 13553, 13552, 13551, 13550, 13549, 13548, 13658, 13546, 13545, 13544, 13582, 13542, 13541, 13540, 13535, 13534, 13532, 13530, 13527, 13543, 13525, 13518, 13515, 13514, 13644, 13512, 13508, 13572, 13504, 13503, 13502, 13501, 13500, 13498, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474])).
% 5.71/5.18 tff(36128,plain,
% 5.71/5.18 (until2p7(s100)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[13297, 36127, 11264])).
% 5.71/5.18 tff(36129,plain,
% 5.71/5.18 ($false),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[9922, 8293, 36128, 36125, 36120])).
% 5.71/5.18 tff(36130,plain,(trans(s199, s99) | (~xuntil6(s199)) | trans(s199, s63) | trans(s199, s36) | trans(s199, s117) | trans(s199, s50) | trans(s199, s110) | trans(s199, s109) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s49) | node1(s199) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s104) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s89) | trans(s199, s79) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s77) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s91) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s86) | trans(s199, s4) | trans(s199, s45) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s87) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s85) | trans(s199, s90) | trans(s199, s75) | trans(s199, s83) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s80) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s112) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s111) | trans(s199, s30) | trans(s199, s37) | trans(s199, s81) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s82) | trans(s199, s38) | trans(s199, s46) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s5) | trans(s199, s61) | (~until5(s39)) | node4(s199) | xuntil2p8(s101)), inference(lemma,lemma(discharge,[]))).
% 5.71/5.18 tff(36131,plain,
% 5.71/5.18 (trans(s199, s77)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[36130, 36116, 13665, 13662, 13656, 13655, 13554, 13648, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13547, 13626, 13624, 13622, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 36115, 13542, 13598, 13597, 13594, 13591, 13590, 13627, 13588, 13587, 13583, 13619, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 36112, 13571, 13570, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 36111, 13553, 13552, 13551, 36110, 36109, 13548, 36108, 13546, 13545, 13544, 36107, 11264, 13541, 13540, 13535, 36106, 13532, 13530, 13527, 13543, 13525, 36105, 13515, 13514, 13644, 13512, 13508, 36104, 36103, 13503, 13502, 13501, 36102, 36101, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474, 35800])).
% 5.71/5.18 tff(36132,plain,
% 5.71/5.18 ($false),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[24612, 36131, 36100])).
% 5.71/5.18 tff(36133,plain,(always3(s95) | trans(s199, s63) | trans(s199, s36) | trans(s199, s117) | trans(s199, s50) | trans(s199, s110) | trans(s199, s109) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s49) | node1(s199) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s104) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s97) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s89) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s91) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s4) | trans(s199, s45) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s75) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | (~xuntil6(s199)) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s112) | trans(s199, s105) | trans(s199, s98) | trans(s199, s66) | trans(s199, s111) | trans(s199, s30) | trans(s199, s37) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s38) | trans(s199, s46) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s5) | trans(s199, s61) | (~until5(s39)) | node4(s199) | xuntil2p8(s101)), inference(lemma,lemma(discharge,[]))).
% 5.71/5.18 tff(36134,plain,
% 5.71/5.18 (always3(s95)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[36133, 35716, 13662, 13656, 13655, 13665, 35715, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 35714, 13626, 13624, 13622, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 36084, 13598, 13597, 13594, 13591, 13590, 36083, 13588, 13587, 13583, 36025, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13571, 13570, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 13553, 35785, 13551, 13548, 13546, 13545, 13544, 11264, 13541, 13540, 13535, 13532, 13530, 13527, 35690, 35689, 35966, 13514, 35651, 13512, 13508, 13503, 13502, 13501, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474, 35784])).
% 5.71/5.18 tff(36135,plain,
% 5.71/5.18 (always3(s96)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5824, 36134])).
% 5.71/5.18 tff(36136,plain,
% 5.71/5.18 (always3(s97)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[5812, 36135])).
% 5.71/5.18 tff(36137,plain,
% 5.71/5.18 (~m_main_v_state(s97, c_busy)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10016, 145, 36136])).
% 5.71/5.18 tff(36138,plain,
% 5.71/5.18 (~m_main_v_state(s96, c_busy)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17229, 145, 36135])).
% 5.71/5.18 tff(36139,plain,
% 5.71/5.18 (m_main_v_state(s96, c_ready)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17233, 188, 36138])).
% 5.71/5.18 tff(36140,plain,
% 5.71/5.18 (~m_main_v_request(s96)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17242, 36139, 36137])).
% 5.71/5.18 tff(36141,plain,
% 5.71/5.18 (~node4(s96)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17246, 63, 36140])).
% 5.71/5.18 tff(36142,plain,
% 5.71/5.18 (node4(s96) | (~until2p7(s96))),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10038, 8293, 35969])).
% 5.71/5.18 tff(36143,plain,
% 5.71/5.18 (~until2p7(s96)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[36142, 36141])).
% 5.71/5.18 tff(36144,plain,
% 5.71/5.18 (~xuntil2p8(s95)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10044, 36143])).
% 5.71/5.18 tff(36145,plain,
% 5.71/5.18 (~m_main_v_state(s95, c_busy)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17274, 145, 36134])).
% 5.71/5.18 tff(36146,plain,
% 5.71/5.18 (m_main_v_state(s95, c_ready)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[32166, 36145])).
% 5.71/5.18 tff(36147,plain,
% 5.71/5.18 (~m_main_v_request(s95)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17267, 36146, 36138])).
% 5.71/5.18 tff(36148,plain,
% 5.71/5.18 (~node4(s95)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17258, 63, 36147])).
% 5.71/5.18 tff(36149,plain,
% 5.71/5.18 (xuntil2p8(s95) | (~until2p7(s95))),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10050, 8293, 36148])).
% 5.71/5.18 tff(36150,plain,
% 5.71/5.18 (~until2p7(s95)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[36149, 36144])).
% 5.71/5.18 tff(36151,plain,
% 5.71/5.18 (~trans(s199, s95)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[11548, 36150, 11264])).
% 5.71/5.18 tff(36152,plain,
% 5.71/5.18 (~node4(s94)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[17309, 36145])).
% 5.71/5.18 tff(36153,plain,
% 5.71/5.18 (~xuntil2p8(s94)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10056, 36150])).
% 5.71/5.18 tff(36154,plain,
% 5.71/5.18 (~until2p7(s94)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10062, 8293, 36153, 36152])).
% 5.71/5.18 tff(36155,plain,
% 5.71/5.18 (~trans(s199, s94)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[11922, 36154, 11264])).
% 5.71/5.18 tff(36156,plain,
% 5.71/5.18 (~xuntil2p8(s93)),
% 5.71/5.18 inference(unit_resolution,[status(thm)],[10068, 36154])).
% 5.71/5.18 tff(36157,plain,
% 5.71/5.18 (~until2p7(s93)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10108, 36156])).
% 5.71/5.19 tff(36158,plain,
% 5.71/5.19 (~xuntil2p8(s92)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10113, 36157])).
% 5.71/5.19 tff(36159,plain,
% 5.71/5.19 (always3(s77)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24612, 12684])).
% 5.71/5.19 tff(36160,plain,
% 5.71/5.19 (always3(s78)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[6040, 36159])).
% 5.71/5.19 tff(36161,plain,
% 5.71/5.19 (always3(s79)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[6028, 36160])).
% 5.71/5.19 tff(36162,plain,
% 5.71/5.19 (~m_main_v_state(s79, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16725, 145, 36161])).
% 5.71/5.19 tff(36163,plain,
% 5.71/5.19 (~m_main_v_state(s78, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16778, 145, 36160])).
% 5.71/5.19 tff(36164,plain,
% 5.71/5.19 (m_main_v_state(s78, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16782, 188, 36163])).
% 5.71/5.19 tff(36165,plain,
% 5.71/5.19 (~m_main_v_request(s78)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16791, 36164, 36162])).
% 5.71/5.19 tff(36166,plain,
% 5.71/5.19 (~node4(s78)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16795, 63, 36165])).
% 5.71/5.19 tff(36167,plain,
% 5.71/5.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s77)) | node2(s199, s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s77)) | node2(s199, s77))),
% 5.71/5.19 inference(rewrite,[status(thm)],[])).
% 5.71/5.19 tff(36168,plain,
% 5.71/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s77)) | node2(s199, s77))),
% 5.71/5.19 inference(quant_inst,[status(thm)],[])).
% 5.71/5.19 tff(36169,plain,
% 5.71/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s77)) | node2(s199, s77)),
% 5.71/5.19 inference(modus_ponens,[status(thm)],[36168, 36167])).
% 5.71/5.19 tff(36170,plain,
% 5.71/5.19 (node2(s199, s77)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36169, 12684, 7])).
% 5.71/5.19 tff(36171,plain,
% 5.71/5.19 (~m_main_v_state(s77, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16816, 145, 36159])).
% 5.71/5.19 tff(36172,plain,
% 5.71/5.19 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (m_main_v_state(s77, c_busy) | m_main_v_state(s77, c_ready) | node1(s199) | (~node2(s199, s77)))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s77, c_busy) | m_main_v_state(s77, c_ready) | node1(s199) | (~node2(s199, s77)))),
% 5.71/5.19 inference(rewrite,[status(thm)],[])).
% 5.71/5.19 tff(36173,plain,
% 5.71/5.19 ((node1(s199) | m_main_v_state(s77, c_ready) | (~node2(s199, s77)) | m_main_v_state(s77, c_busy)) <=> (m_main_v_state(s77, c_busy) | m_main_v_state(s77, c_ready) | node1(s199) | (~node2(s199, s77)))),
% 5.71/5.19 inference(rewrite,[status(thm)],[])).
% 5.71/5.19 tff(36174,plain,
% 5.71/5.19 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s199) | m_main_v_state(s77, c_ready) | (~node2(s199, s77)) | m_main_v_state(s77, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (m_main_v_state(s77, c_busy) | m_main_v_state(s77, c_ready) | node1(s199) | (~node2(s199, s77))))),
% 5.71/5.19 inference(monotonicity,[status(thm)],[36173])).
% 5.71/5.19 tff(36175,plain,
% 5.71/5.19 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s199) | m_main_v_state(s77, c_ready) | (~node2(s199, s77)) | m_main_v_state(s77, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s77, c_busy) | m_main_v_state(s77, c_ready) | node1(s199) | (~node2(s199, s77)))),
% 5.71/5.19 inference(transitivity,[status(thm)],[36174, 36172])).
% 5.71/5.19 tff(36176,plain,
% 5.71/5.19 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s199) | m_main_v_state(s77, c_ready) | (~node2(s199, s77)) | m_main_v_state(s77, c_busy))),
% 5.71/5.19 inference(quant_inst,[status(thm)],[])).
% 5.71/5.19 tff(36177,plain,
% 5.71/5.19 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s77, c_busy) | m_main_v_state(s77, c_ready) | node1(s199) | (~node2(s199, s77))),
% 5.71/5.19 inference(modus_ponens,[status(thm)],[36176, 36175])).
% 5.71/5.19 tff(36178,plain,
% 5.71/5.19 (m_main_v_state(s77, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36177, 2250, 36171, 24176, 36170])).
% 5.71/5.19 tff(36179,plain,
% 5.71/5.19 (~m_main_v_request(s77)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16829, 36178, 36163])).
% 5.71/5.19 tff(36180,plain,
% 5.71/5.19 (~node4(s77)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16833, 63, 36179])).
% 5.71/5.19 tff(36181,plain,
% 5.71/5.19 (until2p7(s77)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[12692, 12684, 11264])).
% 5.71/5.19 tff(36182,plain,
% 5.71/5.19 (node4(s77) | xuntil2p8(s77)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10334, 8293, 36181])).
% 5.71/5.19 tff(36183,plain,
% 5.71/5.19 (xuntil2p8(s77)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36182, 36180])).
% 5.71/5.19 tff(36184,plain,
% 5.71/5.19 (until2p7(s78)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10328, 36183])).
% 5.71/5.19 tff(36185,plain,
% 5.71/5.19 (xuntil2p8(s78)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10322, 8293, 36184, 36166])).
% 5.71/5.19 tff(36186,plain,
% 5.71/5.19 (until2p7(s79)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10316, 36185])).
% 5.71/5.19 tff(36187,plain,
% 5.71/5.19 (always3(s80)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[6016, 36161])).
% 5.71/5.19 tff(36188,plain,
% 5.71/5.19 (~m_main_v_state(s80, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16702, 145, 36187])).
% 5.71/5.19 tff(36189,plain,
% 5.71/5.19 (~node4(s79)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16731, 36188])).
% 5.71/5.19 tff(36190,plain,
% 5.71/5.19 (xuntil2p8(s79) | (~until2p7(s79))),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10310, 8293, 36189])).
% 5.71/5.19 tff(36191,plain,
% 5.71/5.19 (xuntil2p8(s79)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36190, 36186])).
% 5.71/5.19 tff(36192,plain,
% 5.71/5.19 (until2p7(s80)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10304, 36191])).
% 5.71/5.19 tff(36193,plain,
% 5.71/5.19 (always3(s81)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[6004, 36187])).
% 5.71/5.19 tff(36194,plain,
% 5.71/5.19 (~m_main_v_state(s81, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16651, 145, 36193])).
% 5.71/5.19 tff(36195,plain,
% 5.71/5.19 (m_main_v_state(s80, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[31943, 36188])).
% 5.71/5.19 tff(36196,plain,
% 5.71/5.19 (~m_main_v_request(s80)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16744, 36195, 36194])).
% 5.71/5.19 tff(36197,plain,
% 5.71/5.19 (~node4(s80)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16748, 63, 36196])).
% 5.71/5.19 tff(36198,plain,
% 5.71/5.19 (xuntil2p8(s80) | (~until2p7(s80))),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10298, 8293, 36197])).
% 5.71/5.19 tff(36199,plain,
% 5.71/5.19 (xuntil2p8(s80)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36198, 36192])).
% 5.71/5.19 tff(36200,plain,
% 5.71/5.19 (until2p7(s81)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10292, 36199])).
% 5.71/5.19 tff(36201,plain,
% 5.71/5.19 (always3(s82)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5992, 36193])).
% 5.71/5.19 tff(36202,plain,
% 5.71/5.19 (~m_main_v_state(s82, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16604, 145, 36201])).
% 5.71/5.19 tff(36203,plain,
% 5.71/5.19 (m_main_v_state(s81, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[31970, 36194])).
% 5.71/5.19 tff(36204,plain,
% 5.71/5.19 (~m_main_v_request(s81)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16664, 36203, 36202])).
% 5.71/5.19 tff(36205,plain,
% 5.71/5.19 (~node4(s81)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16668, 63, 36204])).
% 5.71/5.19 tff(36206,plain,
% 5.71/5.19 (xuntil2p8(s81) | (~until2p7(s81))),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10286, 8293, 36205])).
% 5.71/5.19 tff(36207,plain,
% 5.71/5.19 (xuntil2p8(s81)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36206, 36200])).
% 5.71/5.19 tff(36208,plain,
% 5.71/5.19 (until2p7(s82)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10280, 36207])).
% 5.71/5.19 tff(36209,plain,
% 5.71/5.19 (always3(s83)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5980, 36201])).
% 5.71/5.19 tff(36210,plain,
% 5.71/5.19 (~m_main_v_state(s83, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16496, 145, 36209])).
% 5.71/5.19 tff(36211,plain,
% 5.71/5.19 (~node1(s81)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[31988, 36202])).
% 5.71/5.19 tff(36212,plain,
% 5.71/5.19 (m_main_v_state(s82, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[31996, 36211, 36202])).
% 5.71/5.19 tff(36213,plain,
% 5.71/5.19 (~m_main_v_request(s82)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16597, 36212, 36210])).
% 5.71/5.19 tff(36214,plain,
% 5.71/5.19 (~node4(s82)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16588, 63, 36213])).
% 5.71/5.19 tff(36215,plain,
% 5.71/5.19 (xuntil2p8(s82) | (~until2p7(s82))),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10274, 8293, 36214])).
% 5.71/5.19 tff(36216,plain,
% 5.71/5.19 (xuntil2p8(s82)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36215, 36208])).
% 5.71/5.19 tff(36217,plain,
% 5.71/5.19 (until2p7(s83)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10268, 36216])).
% 5.71/5.19 tff(36218,plain,
% 5.71/5.19 (always3(s84)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5968, 36209])).
% 5.71/5.19 tff(36219,plain,
% 5.71/5.19 (~m_main_v_state(s84, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16469, 145, 36218])).
% 5.71/5.19 tff(36220,plain,
% 5.71/5.19 (~node4(s83)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16502, 36219])).
% 5.71/5.19 tff(36221,plain,
% 5.71/5.19 (xuntil2p8(s83) | (~until2p7(s83))),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10262, 8293, 36220])).
% 5.71/5.19 tff(36222,plain,
% 5.71/5.19 (xuntil2p8(s83)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36221, 36217])).
% 5.71/5.19 tff(36223,plain,
% 5.71/5.19 (until2p7(s84)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10256, 36222])).
% 5.71/5.19 tff(36224,plain,
% 5.71/5.19 (always3(s85)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5956, 36218])).
% 5.71/5.19 tff(36225,plain,
% 5.71/5.19 (always3(s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5944, 36224])).
% 5.71/5.19 tff(36226,plain,
% 5.71/5.19 (always3(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5932, 36225])).
% 5.71/5.19 tff(36227,plain,
% 5.71/5.19 (always3(s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5920, 36226])).
% 5.71/5.19 tff(36228,plain,
% 5.71/5.19 (always3(s89)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5908, 36227])).
% 5.71/5.19 tff(36229,plain,
% 5.71/5.19 (always3(s90)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5896, 36228])).
% 5.71/5.19 tff(36230,plain,
% 5.71/5.19 (always3(s91)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5884, 36229])).
% 5.71/5.19 tff(36231,plain,
% 5.71/5.19 (~m_main_v_state(s91, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17000, 145, 36230])).
% 5.71/5.19 tff(36232,plain,
% 5.71/5.19 (~m_main_v_state(s90, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16992, 145, 36229])).
% 5.71/5.19 tff(36233,plain,
% 5.71/5.19 (m_main_v_state(s90, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17004, 188, 36232])).
% 5.71/5.19 tff(36234,plain,
% 5.71/5.19 (~m_main_v_request(s90)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17013, 36233, 36231])).
% 5.71/5.19 tff(36235,plain,
% 5.71/5.19 (~node4(s90)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17017, 63, 36234])).
% 5.71/5.19 tff(36236,plain,
% 5.71/5.19 (always3(s92)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5872, 36230])).
% 5.71/5.19 tff(36237,plain,
% 5.71/5.19 (~m_main_v_state(s92, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17332, 145, 36236])).
% 5.71/5.19 tff(36238,plain,
% 5.71/5.19 (m_main_v_state(s91, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17374, 188, 36231])).
% 5.71/5.19 tff(36239,plain,
% 5.71/5.19 (~m_main_v_request(s91)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17368, 36238, 36237])).
% 5.71/5.19 tff(36240,plain,
% 5.71/5.19 (~node4(s91)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17359, 63, 36239])).
% 5.71/5.19 tff(36241,plain,
% 5.71/5.19 (always3(s93)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5860, 36236])).
% 5.71/5.19 tff(36242,plain,
% 5.71/5.19 (~m_main_v_state(s93, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10098, 145, 36241])).
% 5.71/5.19 tff(36243,plain,
% 5.71/5.19 (~node1(s91)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[32138, 36237])).
% 5.71/5.19 tff(36244,plain,
% 5.71/5.19 (m_main_v_state(s92, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[32146, 36243, 36237])).
% 5.71/5.19 tff(36245,plain,
% 5.71/5.19 (~m_main_v_request(s92)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17347, 36244, 36242])).
% 5.71/5.19 tff(36246,plain,
% 5.71/5.19 (~node4(s92)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17351, 63, 36245])).
% 5.71/5.19 tff(36247,assumption,(~xuntil2p8(s92)), introduced(assumption)).
% 5.71/5.19 tff(36248,plain,
% 5.71/5.19 (node4(s92) | (~until2p7(s92))),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10120, 8293, 36247])).
% 5.71/5.19 tff(36249,plain,
% 5.71/5.19 (~until2p7(s92)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36248, 36246])).
% 5.71/5.19 tff(36250,plain,
% 5.71/5.19 (~xuntil2p8(s91)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10126, 36249])).
% 5.71/5.19 tff(36251,plain,
% 5.71/5.19 (~until2p7(s91)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10132, 8293, 36250, 36240])).
% 5.71/5.19 tff(36252,plain,
% 5.71/5.19 (~xuntil2p8(s90)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10138, 36251])).
% 5.71/5.19 tff(36253,plain,
% 5.71/5.19 (~until2p7(s90)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10144, 8293, 36252, 36235])).
% 5.71/5.19 tff(36254,plain,
% 5.71/5.19 (~xuntil2p8(s89)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10150, 36253])).
% 5.71/5.19 tff(36255,plain,
% 5.71/5.19 (~m_main_v_state(s89, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16411, 145, 36228])).
% 5.71/5.19 tff(36256,plain,
% 5.71/5.19 (m_main_v_state(s89, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[32102, 36255])).
% 5.71/5.19 tff(36257,plain,
% 5.71/5.19 (~m_main_v_request(s89)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17033, 36256, 36232])).
% 5.71/5.19 tff(36258,plain,
% 5.71/5.19 (~node4(s89)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17024, 63, 36257])).
% 5.71/5.19 tff(36259,plain,
% 5.71/5.19 (xuntil2p8(s89) | (~until2p7(s89))),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10156, 8293, 36258])).
% 5.71/5.19 tff(36260,plain,
% 5.71/5.19 (~until2p7(s89)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36259, 36254])).
% 5.71/5.19 tff(36261,plain,
% 5.71/5.19 (~xuntil2p8(s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10162, 36260])).
% 5.71/5.19 tff(36262,plain,
% 5.71/5.19 (~m_main_v_state(s88, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16899, 145, 36227])).
% 5.71/5.19 tff(36263,plain,
% 5.71/5.19 (m_main_v_state(s88, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16969, 188, 36262])).
% 5.71/5.19 tff(36264,plain,
% 5.71/5.19 (~m_main_v_request(s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16964, 36263, 36255])).
% 5.71/5.19 tff(36265,plain,
% 5.71/5.19 (~node4(s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16955, 63, 36264])).
% 5.71/5.19 tff(36266,plain,
% 5.71/5.19 (xuntil2p8(s88) | (~until2p7(s88))),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10168, 8293, 36265])).
% 5.71/5.19 tff(36267,plain,
% 5.71/5.19 (~until2p7(s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36266, 36261])).
% 5.71/5.19 tff(36268,plain,
% 5.71/5.19 (~xuntil2p8(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10174, 36267])).
% 5.71/5.19 tff(36269,plain,
% 5.71/5.19 (~m_main_v_state(s87, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16890, 145, 36226])).
% 5.71/5.19 tff(36270,plain,
% 5.71/5.19 (m_main_v_state(s87, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[32066, 36269])).
% 5.71/5.19 tff(36271,plain,
% 5.71/5.19 (~m_main_v_request(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16915, 36270, 36262])).
% 5.71/5.19 tff(36272,plain,
% 5.71/5.19 (~node4(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16906, 63, 36271])).
% 5.71/5.19 tff(36273,plain,
% 5.71/5.19 (xuntil2p8(s87) | (~until2p7(s87))),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10180, 8293, 36272])).
% 5.71/5.19 tff(36274,plain,
% 5.71/5.19 (~until2p7(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36273, 36268])).
% 5.71/5.19 tff(36275,plain,
% 5.71/5.19 (~xuntil2p8(s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10186, 36274])).
% 5.71/5.19 tff(36276,plain,
% 5.71/5.19 (~m_main_v_state(s86, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10212, 145, 36225])).
% 5.71/5.19 tff(36277,plain,
% 5.71/5.19 (~node1(s85)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[32030, 36276])).
% 5.71/5.19 tff(36278,plain,
% 5.71/5.19 (m_main_v_state(s86, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[32038, 36277, 36276])).
% 5.71/5.19 tff(36279,plain,
% 5.71/5.19 (~m_main_v_request(s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16940, 36278, 36269])).
% 5.71/5.19 tff(36280,plain,
% 5.71/5.19 (~node4(s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16931, 63, 36279])).
% 5.71/5.19 tff(36281,plain,
% 5.71/5.19 (xuntil2p8(s86) | (~until2p7(s86))),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10192, 8293, 36280])).
% 5.71/5.19 tff(36282,plain,
% 5.71/5.19 (~until2p7(s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36281, 36275])).
% 5.71/5.19 tff(36283,plain,
% 5.71/5.19 (~xuntil2p8(s85)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10198, 36282])).
% 5.71/5.19 tff(36284,plain,
% 5.71/5.19 (~until2p7(s85)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10238, 36283])).
% 5.71/5.19 tff(36285,plain,
% 5.71/5.19 (~xuntil2p8(s84)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10243, 36284])).
% 5.71/5.19 tff(36286,plain,
% 5.71/5.19 (~m_main_v_state(s85, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10228, 145, 36224])).
% 5.71/5.19 tff(36287,plain,
% 5.71/5.19 (m_main_v_state(s84, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16473, 188, 36219])).
% 5.71/5.19 tff(36288,plain,
% 5.71/5.19 (~m_main_v_request(s84)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16879, 36287, 36286])).
% 5.71/5.19 tff(36289,plain,
% 5.71/5.19 (~node4(s84)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16870, 63, 36288])).
% 5.71/5.19 tff(36290,plain,
% 5.71/5.19 (xuntil2p8(s84) | (~until2p7(s84))),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10250, 8293, 36289])).
% 5.71/5.19 tff(36291,plain,
% 5.71/5.19 ($false),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36290, 36285, 36223])).
% 5.71/5.19 tff(36292,plain,((~trans(s199, s77)) | xuntil2p8(s92) | node1(s199) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.71/5.19 tff(36293,plain,
% 5.71/5.19 (~trans(s199, s77)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36292, 36158, 24176, 11264])).
% 5.71/5.19 tff(36294,plain,
% 5.71/5.19 (~always3(s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5908, 16980])).
% 5.71/5.19 tff(36295,plain,
% 5.71/5.19 (~always3(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5920, 36294])).
% 5.71/5.19 tff(36296,plain,
% 5.71/5.19 (~always3(s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5932, 36295])).
% 5.71/5.19 tff(36297,plain,
% 5.71/5.19 (~always3(s85)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5944, 36296])).
% 5.71/5.19 tff(36298,plain,
% 5.71/5.19 (~always3(s84)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5956, 36297])).
% 5.71/5.19 tff(36299,plain,
% 5.71/5.19 (~always3(s83)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5968, 36298])).
% 5.71/5.19 tff(36300,plain,
% 5.71/5.19 (~always3(s82)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5980, 36299])).
% 5.71/5.19 tff(36301,plain,
% 5.71/5.19 (~trans(s199, s82)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24346, 36300])).
% 5.71/5.19 tff(36302,plain,
% 5.71/5.19 (~trans(s199, s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24373, 36294])).
% 5.71/5.19 tff(36303,plain,
% 5.71/5.19 (~always3(s81)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5992, 36300])).
% 5.71/5.19 tff(36304,plain,
% 5.71/5.19 (~trans(s199, s81)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24556, 36303])).
% 5.71/5.19 tff(36305,plain,
% 5.71/5.19 (~trans(s199, s84)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24407, 36298])).
% 5.71/5.19 tff(36306,plain,
% 5.71/5.19 (~trans(s199, s83)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24742, 36299])).
% 5.71/5.19 tff(36307,plain,
% 5.71/5.19 (~trans(s199, s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24587, 36296])).
% 5.71/5.19 tff(36308,plain,
% 5.71/5.19 (~trans(s199, s90)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24491, 16976])).
% 5.71/5.19 tff(36309,plain,
% 5.71/5.19 (~trans(s199, s85)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24502, 36297])).
% 5.71/5.19 tff(36310,plain,
% 5.71/5.19 (~trans(s199, s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24730, 36295])).
% 5.71/5.19 tff(36311,plain,
% 5.71/5.19 (~always3(s80)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[6004, 36303])).
% 5.71/5.19 tff(36312,plain,
% 5.71/5.19 (~trans(s199, s80)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24573, 36311])).
% 5.71/5.19 tff(36313,plain,
% 5.71/5.19 (~always3(s79)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[6016, 36311])).
% 5.71/5.19 tff(36314,plain,
% 5.71/5.19 (~trans(s199, s79)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24384, 36313])).
% 5.71/5.19 tff(36315,plain,
% 5.71/5.19 ($false),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36130, 36314, 36312, 13665, 13662, 13656, 13655, 13554, 13648, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13547, 13626, 13624, 13622, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 36115, 13542, 13598, 13597, 13594, 13591, 13590, 13627, 13588, 13587, 13583, 13619, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13604, 13571, 13570, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 36310, 13553, 13552, 13551, 36309, 36308, 13548, 36307, 13546, 13545, 13544, 36306, 11264, 13541, 13540, 13535, 13534, 13532, 13530, 13527, 13543, 13525, 36305, 13515, 13514, 13644, 13512, 13508, 36304, 36302, 13503, 13502, 13501, 13500, 36301, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474, 35800])).
% 5.71/5.19 tff(36316,plain,(always3(s90) | trans(s199, s63) | trans(s199, s36) | trans(s199, s117) | trans(s199, s50) | trans(s199, s110) | trans(s199, s109) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s49) | node1(s199) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s104) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s97) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s89) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s91) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s77) | trans(s199, s4) | trans(s199, s45) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s75) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | (~xuntil6(s199)) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s112) | trans(s199, s105) | trans(s199, s98) | trans(s199, s66) | trans(s199, s111) | trans(s199, s30) | trans(s199, s37) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s38) | trans(s199, s46) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s5) | trans(s199, s61) | (~until5(s39)) | node4(s199) | xuntil2p8(s101)), inference(lemma,lemma(discharge,[]))).
% 5.71/5.19 tff(36317,plain,
% 5.71/5.19 (always3(s90)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36316, 35716, 13662, 13656, 13655, 13665, 35715, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 35714, 13626, 13624, 13622, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 36084, 13598, 13597, 13594, 13591, 13590, 36083, 13588, 13587, 13583, 36025, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 36293, 13571, 13570, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 13553, 35785, 13551, 13548, 13546, 13545, 13544, 11264, 13541, 13540, 13535, 36155, 13532, 13530, 13527, 35690, 35689, 35966, 13514, 35651, 13512, 13508, 13503, 13502, 13501, 36151, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474, 35784])).
% 5.71/5.19 tff(36318,plain,
% 5.71/5.19 (always3(s91)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5884, 36317])).
% 5.71/5.19 tff(36319,plain,
% 5.71/5.19 (~m_main_v_state(s91, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17000, 145, 36318])).
% 5.71/5.19 tff(36320,plain,
% 5.71/5.19 (~m_main_v_state(s90, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16992, 145, 36317])).
% 5.71/5.19 tff(36321,plain,
% 5.71/5.19 (m_main_v_state(s90, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17004, 188, 36320])).
% 5.71/5.19 tff(36322,plain,
% 5.71/5.19 (~m_main_v_request(s90)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17013, 36321, 36319])).
% 5.71/5.19 tff(36323,plain,
% 5.71/5.19 (~node4(s90)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17017, 63, 36322])).
% 5.71/5.19 tff(36324,plain,
% 5.71/5.19 (always3(s92)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5872, 36318])).
% 5.71/5.19 tff(36325,plain,
% 5.71/5.19 (~m_main_v_state(s92, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17332, 145, 36324])).
% 5.71/5.19 tff(36326,plain,
% 5.71/5.19 (m_main_v_state(s91, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17374, 188, 36319])).
% 5.71/5.19 tff(36327,plain,
% 5.71/5.19 (~m_main_v_request(s91)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17368, 36326, 36325])).
% 5.71/5.19 tff(36328,plain,
% 5.71/5.19 (~node4(s91)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17359, 63, 36327])).
% 5.71/5.19 tff(36329,plain,
% 5.71/5.19 (always3(s93)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5860, 36324])).
% 5.71/5.19 tff(36330,plain,
% 5.71/5.19 (~m_main_v_state(s93, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10098, 145, 36329])).
% 5.71/5.19 tff(36331,plain,
% 5.71/5.19 (~node1(s91)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[32138, 36325])).
% 5.71/5.19 tff(36332,plain,
% 5.71/5.19 (m_main_v_state(s92, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[32146, 36331, 36325])).
% 5.71/5.19 tff(36333,plain,
% 5.71/5.19 (~m_main_v_request(s92)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17347, 36332, 36330])).
% 5.71/5.19 tff(36334,plain,
% 5.71/5.19 (~node4(s92)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17351, 63, 36333])).
% 5.71/5.19 tff(36335,plain,
% 5.71/5.19 (node4(s92) | (~until2p7(s92))),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10120, 8293, 36158])).
% 5.71/5.19 tff(36336,plain,
% 5.71/5.19 (~until2p7(s92)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36335, 36334])).
% 5.71/5.19 tff(36337,plain,
% 5.71/5.19 (~xuntil2p8(s91)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10126, 36336])).
% 5.71/5.19 tff(36338,plain,
% 5.71/5.19 (~until2p7(s91)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10132, 8293, 36337, 36328])).
% 5.71/5.19 tff(36339,plain,
% 5.71/5.19 (~xuntil2p8(s90)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10138, 36338])).
% 5.71/5.19 tff(36340,plain,
% 5.71/5.19 (~until2p7(s90)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10144, 8293, 36339, 36323])).
% 5.71/5.19 tff(36341,plain,
% 5.71/5.19 (~trans(s199, s90)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[12087, 36340, 11264])).
% 5.71/5.19 tff(36342,plain,
% 5.71/5.19 (~xuntil2p8(s89)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10150, 36340])).
% 5.71/5.19 tff(36343,plain,
% 5.71/5.19 (always3(s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24587, 12519])).
% 5.71/5.19 tff(36344,plain,
% 5.71/5.19 (always3(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5932, 36343])).
% 5.71/5.19 tff(36345,plain,
% 5.71/5.19 (always3(s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5920, 36344])).
% 5.71/5.19 tff(36346,plain,
% 5.71/5.19 (~m_main_v_state(s88, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16899, 145, 36345])).
% 5.71/5.19 tff(36347,plain,
% 5.71/5.19 (~m_main_v_state(s87, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16890, 145, 36344])).
% 5.71/5.19 tff(36348,plain,
% 5.71/5.19 (m_main_v_state(s87, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[32066, 36347])).
% 5.71/5.19 tff(36349,plain,
% 5.71/5.19 (~m_main_v_request(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16915, 36348, 36346])).
% 5.71/5.19 tff(36350,plain,
% 5.71/5.19 (~node4(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16906, 63, 36349])).
% 5.71/5.19 tff(36351,plain,
% 5.71/5.19 (~m_main_v_state(s86, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10212, 145, 36343])).
% 5.71/5.19 tff(36352,plain,
% 5.71/5.19 (~node1(s85)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[32030, 36351])).
% 5.71/5.19 tff(36353,plain,
% 5.71/5.19 (m_main_v_state(s86, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[32038, 36352, 36351])).
% 5.71/5.19 tff(36354,plain,
% 5.71/5.19 (~m_main_v_request(s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16940, 36353, 36347])).
% 5.71/5.19 tff(36355,plain,
% 5.71/5.19 (~node4(s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16931, 63, 36354])).
% 5.71/5.19 tff(36356,plain,
% 5.71/5.19 (until2p7(s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[12527, 12519, 11264])).
% 5.71/5.19 tff(36357,plain,
% 5.71/5.19 (node4(s86) | xuntil2p8(s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10192, 8293, 36356])).
% 5.71/5.19 tff(36358,plain,
% 5.71/5.19 (xuntil2p8(s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36357, 36355])).
% 5.71/5.19 tff(36359,plain,
% 5.71/5.19 (until2p7(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10186, 36358])).
% 5.71/5.19 tff(36360,plain,
% 5.71/5.19 (xuntil2p8(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10180, 8293, 36359, 36350])).
% 5.71/5.19 tff(36361,plain,
% 5.71/5.19 (always3(s89)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5908, 36345])).
% 5.71/5.19 tff(36362,plain,
% 5.71/5.19 (~m_main_v_state(s89, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16411, 145, 36361])).
% 5.71/5.19 tff(36363,plain,
% 5.71/5.19 (m_main_v_state(s88, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16969, 188, 36346])).
% 5.71/5.19 tff(36364,plain,
% 5.71/5.19 (~m_main_v_request(s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16964, 36363, 36362])).
% 5.71/5.19 tff(36365,plain,
% 5.71/5.19 (~node4(s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16955, 63, 36364])).
% 5.71/5.19 tff(36366,assumption,(~m_main_v_state(s90, c_busy)), introduced(assumption)).
% 5.71/5.19 tff(36367,plain,
% 5.71/5.19 (m_main_v_state(s89, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[32102, 36362])).
% 5.71/5.19 tff(36368,plain,
% 5.71/5.19 (~m_main_v_request(s89)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17033, 36367, 36366])).
% 5.71/5.19 tff(36369,plain,
% 5.71/5.19 (~node4(s89)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17024, 63, 36368])).
% 5.71/5.19 tff(36370,assumption,(~xuntil2p8(s89)), introduced(assumption)).
% 5.71/5.19 tff(36371,plain,
% 5.71/5.19 (node4(s89) | (~until2p7(s89))),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10156, 8293, 36370])).
% 5.71/5.19 tff(36372,plain,
% 5.71/5.19 (~until2p7(s89)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36371, 36369])).
% 5.71/5.19 tff(36373,plain,
% 5.71/5.19 (~xuntil2p8(s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10162, 36372])).
% 5.71/5.19 tff(36374,plain,
% 5.71/5.19 (~until2p7(s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10168, 8293, 36373, 36365])).
% 5.71/5.19 tff(36375,plain,
% 5.71/5.19 ($false),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10174, 36374, 36360])).
% 5.71/5.19 tff(36376,plain,((~trans(s199, s86)) | xuntil2p8(s89) | m_main_v_state(s90, c_busy) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.71/5.19 tff(36377,plain,
% 5.71/5.19 (~trans(s199, s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36376, 36342, 36320, 11264])).
% 5.71/5.19 tff(36378,plain,
% 5.71/5.19 (~trans(s199, s82)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24346, 16365])).
% 5.71/5.19 tff(36379,plain,
% 5.71/5.19 (~trans(s199, s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24373, 16330])).
% 5.71/5.19 tff(36380,plain,
% 5.71/5.19 (~trans(s199, s81)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24556, 16370])).
% 5.71/5.19 tff(36381,plain,
% 5.71/5.19 (~trans(s199, s84)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24407, 16334])).
% 5.71/5.19 tff(36382,plain,
% 5.71/5.19 (~trans(s199, s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24730, 16331])).
% 5.71/5.19 tff(36383,plain,
% 5.71/5.19 (~trans(s199, s83)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24742, 16360])).
% 5.71/5.19 tff(36384,plain,
% 5.71/5.19 (~trans(s199, s85)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24502, 16333])).
% 5.71/5.19 tff(36385,plain,
% 5.71/5.19 (~trans(s199, s80)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24573, 16375])).
% 5.71/5.19 tff(36386,plain,
% 5.71/5.19 (~trans(s199, s79)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24384, 16376])).
% 5.71/5.19 tff(36387,plain,
% 5.71/5.19 ($false),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[35620, 36386, 36385, 11264, 13665, 13662, 32339, 13656, 13655, 13554, 13648, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13547, 13626, 13624, 13622, 13638, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13603, 13659, 13598, 13597, 13594, 13591, 13590, 13627, 13588, 13587, 13583, 13619, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13604, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 13589, 13553, 13552, 13551, 36384, 13549, 13548, 36383, 13546, 13545, 13544, 36382, 13542, 13541, 13540, 13535, 13534, 13532, 13530, 13527, 13543, 13525, 36381, 13515, 13514, 13644, 13512, 13508, 36380, 36379, 13503, 13502, 13501, 13500, 36378, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474])).
% 5.71/5.19 tff(36388,plain,(always3(s88) | (~xuntil6(s199)) | trans(s199, s63) | trans(s199, s36) | trans(s199, s117) | trans(s199, s50) | trans(s199, s110) | trans(s199, s109) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s49) | node1(s199) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s104) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s92) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s101) | trans(s199, s100) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s89) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s91) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s77) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s86) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s90) | trans(s199, s75) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s112) | trans(s199, s105) | trans(s199, s98) | trans(s199, s66) | trans(s199, s111) | trans(s199, s30) | trans(s199, s37) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s38) | trans(s199, s46) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s5) | trans(s199, s61) | (~until5(s39)) | node4(s199)), inference(lemma,lemma(discharge,[]))).
% 5.71/5.19 tff(36389,plain,
% 5.71/5.19 (always3(s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36388, 35716, 13665, 13662, 13656, 13655, 11264, 35715, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 35714, 13626, 13624, 13622, 35867, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 35917, 35916, 13598, 13597, 13594, 13591, 13590, 36083, 13588, 13587, 13583, 36025, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 36293, 13571, 13570, 35806, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 36377, 13553, 35785, 13551, 36341, 13548, 13546, 13545, 13544, 36084, 13541, 13540, 13535, 36155, 13532, 13530, 13527, 35690, 35689, 35966, 13514, 35651, 13512, 13508, 13503, 13502, 13501, 36151, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474])).
% 5.71/5.19 tff(36390,plain,
% 5.71/5.19 (always3(s89)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5908, 36389])).
% 5.71/5.19 tff(36391,plain,
% 5.71/5.19 (~m_main_v_state(s89, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16411, 145, 36390])).
% 5.71/5.19 tff(36392,plain,
% 5.71/5.19 (~m_main_v_state(s88, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16899, 145, 36389])).
% 5.71/5.19 tff(36393,plain,
% 5.71/5.19 (m_main_v_state(s88, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16969, 188, 36392])).
% 5.71/5.19 tff(36394,plain,
% 5.71/5.19 (~m_main_v_request(s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16964, 36393, 36391])).
% 5.71/5.19 tff(36395,plain,
% 5.71/5.19 (~node4(s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16955, 63, 36394])).
% 5.71/5.19 tff(36396,plain,
% 5.71/5.19 (m_main_v_state(s89, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[32102, 36391])).
% 5.71/5.19 tff(36397,plain,
% 5.71/5.19 (~m_main_v_request(s89)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17033, 36396, 36320])).
% 5.71/5.19 tff(36398,plain,
% 5.71/5.19 (~node4(s89)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[17024, 63, 36397])).
% 5.71/5.19 tff(36399,plain,
% 5.71/5.19 (node4(s89) | (~until2p7(s89))),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10156, 8293, 36342])).
% 5.71/5.19 tff(36400,plain,
% 5.71/5.19 (~until2p7(s89)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36399, 36398])).
% 5.71/5.19 tff(36401,plain,
% 5.71/5.19 (~xuntil2p8(s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10162, 36400])).
% 5.71/5.19 tff(36402,plain,
% 5.71/5.19 (~until2p7(s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10168, 8293, 36401, 36395])).
% 5.71/5.19 tff(36403,plain,
% 5.71/5.19 (~trans(s199, s88)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[11592, 36402, 11264])).
% 5.71/5.19 tff(36404,plain,
% 5.71/5.19 (~xuntil2p8(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10174, 36402])).
% 5.71/5.19 tff(36405,assumption,(~m_main_v_state(s88, c_busy)), introduced(assumption)).
% 5.71/5.19 tff(36406,plain,
% 5.71/5.19 (until2p7(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[13242, 13234, 11264])).
% 5.71/5.19 tff(36407,assumption,(~xuntil2p8(s87)), introduced(assumption)).
% 5.71/5.19 tff(36408,plain,
% 5.71/5.19 (node4(s87) | (~until2p7(s87))),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10180, 8293, 36407])).
% 5.71/5.19 tff(36409,plain,
% 5.71/5.19 (node4(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36408, 36406])).
% 5.71/5.19 tff(36410,plain,
% 5.71/5.19 (m_main_v_request(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16906, 63, 36409])).
% 5.71/5.19 tff(36411,plain,
% 5.71/5.19 (~m_main_v_state(s87, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16915, 36410, 36405])).
% 5.71/5.19 tff(36412,plain,
% 5.71/5.19 (m_main_v_state(s87, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[32066, 36411])).
% 5.71/5.19 tff(36413,plain,
% 5.71/5.19 (always3(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24730, 13234])).
% 5.71/5.19 tff(36414,plain,
% 5.71/5.19 ($false),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16890, 145, 36413, 36412])).
% 5.71/5.19 tff(36415,plain,((~trans(s199, s87)) | m_main_v_state(s88, c_busy) | xuntil2p8(s87) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.71/5.19 tff(36416,plain,
% 5.71/5.19 (~trans(s199, s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36415, 36392, 36404, 11264])).
% 5.71/5.19 tff(36417,plain,
% 5.71/5.19 (always3(s83)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24742, 13278])).
% 5.71/5.19 tff(36418,plain,
% 5.71/5.19 (always3(s84)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5968, 36417])).
% 5.71/5.19 tff(36419,plain,
% 5.71/5.19 (always3(s85)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5956, 36418])).
% 5.71/5.19 tff(36420,plain,
% 5.71/5.19 (always3(s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5944, 36419])).
% 5.71/5.19 tff(36421,plain,
% 5.71/5.19 (always3(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5932, 36420])).
% 5.71/5.19 tff(36422,plain,
% 5.71/5.19 (~m_main_v_state(s87, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16890, 145, 36421])).
% 5.71/5.19 tff(36423,plain,
% 5.71/5.19 (~m_main_v_state(s86, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10212, 145, 36420])).
% 5.71/5.19 tff(36424,plain,
% 5.71/5.19 (~node1(s85)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[32030, 36423])).
% 5.71/5.19 tff(36425,plain,
% 5.71/5.19 (m_main_v_state(s86, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[32038, 36424, 36423])).
% 5.71/5.19 tff(36426,plain,
% 5.71/5.19 (~m_main_v_request(s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16940, 36425, 36422])).
% 5.71/5.19 tff(36427,plain,
% 5.71/5.19 (~node4(s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16931, 63, 36426])).
% 5.71/5.19 tff(36428,plain,
% 5.71/5.19 (m_main_v_state(s87, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[32066, 36422])).
% 5.71/5.19 tff(36429,plain,
% 5.71/5.19 (~m_main_v_request(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16915, 36428, 36405])).
% 5.71/5.19 tff(36430,plain,
% 5.71/5.19 (~node4(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16906, 63, 36429])).
% 5.71/5.19 tff(36431,plain,
% 5.71/5.19 (~until2p7(s87)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36408, 36430])).
% 5.71/5.19 tff(36432,plain,
% 5.71/5.19 (~xuntil2p8(s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10186, 36431])).
% 5.71/5.19 tff(36433,plain,
% 5.71/5.19 (~until2p7(s86)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10192, 8293, 36432, 36427])).
% 5.71/5.19 tff(36434,plain,
% 5.71/5.19 (~xuntil2p8(s85)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10198, 36433])).
% 5.71/5.19 tff(36435,plain,
% 5.71/5.19 (~m_main_v_state(s85, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10228, 145, 36419])).
% 5.71/5.19 tff(36436,plain,
% 5.71/5.19 (~m_main_v_state(s84, c_busy)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16469, 145, 36418])).
% 5.71/5.19 tff(36437,plain,
% 5.71/5.19 (m_main_v_state(s84, c_ready)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16473, 188, 36436])).
% 5.71/5.19 tff(36438,plain,
% 5.71/5.19 (~m_main_v_request(s84)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16879, 36437, 36435])).
% 5.71/5.19 tff(36439,plain,
% 5.71/5.19 (~node4(s84)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16870, 63, 36438])).
% 5.71/5.19 tff(36440,plain,
% 5.71/5.19 (~node4(s83)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[16502, 36436])).
% 5.71/5.19 tff(36441,plain,
% 5.71/5.19 (until2p7(s83)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[13286, 13278, 11264])).
% 5.71/5.19 tff(36442,plain,
% 5.71/5.19 (node4(s83) | xuntil2p8(s83)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10262, 8293, 36441])).
% 5.71/5.19 tff(36443,plain,
% 5.71/5.19 (xuntil2p8(s83)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36442, 36440])).
% 5.71/5.19 tff(36444,plain,
% 5.71/5.19 (until2p7(s84)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10256, 36443])).
% 5.71/5.19 tff(36445,plain,
% 5.71/5.19 (node4(s84) | xuntil2p8(s84)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10250, 8293, 36444])).
% 5.71/5.19 tff(36446,plain,
% 5.71/5.19 (xuntil2p8(s84)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36445, 36439])).
% 5.71/5.19 tff(36447,plain,
% 5.71/5.19 (until2p7(s85)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10243, 36446])).
% 5.71/5.19 tff(36448,plain,
% 5.71/5.19 ($false),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[10238, 36447, 36434])).
% 5.71/5.19 tff(36449,plain,((~trans(s199, s83)) | xuntil2p8(s87) | m_main_v_state(s88, c_busy) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.71/5.19 tff(36450,plain,
% 5.71/5.19 (~trans(s199, s83)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[36449, 36404, 36392, 11264])).
% 5.71/5.19 tff(36451,plain,
% 5.71/5.19 (~always3(s84)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5956, 24493])).
% 5.71/5.19 tff(36452,plain,
% 5.71/5.19 (~always3(s83)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5968, 36451])).
% 5.71/5.19 tff(36453,plain,
% 5.71/5.19 (~always3(s82)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5980, 36452])).
% 5.71/5.19 tff(36454,plain,
% 5.71/5.19 (~trans(s199, s82)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24346, 36453])).
% 5.71/5.19 tff(36455,plain,
% 5.71/5.19 (~always3(s81)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[5992, 36453])).
% 5.71/5.19 tff(36456,plain,
% 5.71/5.19 (~trans(s199, s81)),
% 5.71/5.19 inference(unit_resolution,[status(thm)],[24556, 36455])).
% 5.71/5.19 tff(36457,plain,
% 5.71/5.19 (~trans(s199, s84)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[24407, 36451])).
% 5.71/5.20 tff(36458,plain,
% 5.71/5.20 (~trans(s199, s85)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[24502, 24493])).
% 5.71/5.20 tff(36459,plain,
% 5.71/5.20 (~always3(s80)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[6004, 36455])).
% 5.71/5.20 tff(36460,plain,
% 5.71/5.20 (~trans(s199, s80)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[24573, 36459])).
% 5.71/5.20 tff(36461,plain,
% 5.71/5.20 (~always3(s79)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[6016, 36459])).
% 5.71/5.20 tff(36462,plain,
% 5.71/5.20 (~trans(s199, s79)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[24384, 36461])).
% 5.71/5.20 tff(36463,plain,
% 5.71/5.20 ($false),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[35620, 36462, 36460, 11264, 13665, 13662, 32339, 13656, 13655, 13554, 13648, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13547, 13626, 13624, 13622, 13638, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13603, 13659, 13598, 13597, 13594, 13591, 13590, 13627, 13588, 13587, 13583, 13619, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13604, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 13589, 13553, 13552, 13551, 13658, 13549, 13548, 13654, 13546, 13545, 13544, 36458, 13542, 13541, 13540, 13535, 13534, 13532, 13530, 13527, 13543, 13525, 36457, 13515, 13514, 13644, 13512, 13508, 36456, 13504, 13503, 13502, 13501, 13500, 36454, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474])).
% 5.71/5.20 tff(36464,plain,(always3(s85) | (~xuntil6(s199)) | trans(s199, s63) | trans(s199, s36) | trans(s199, s117) | trans(s199, s50) | trans(s199, s110) | trans(s199, s109) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s49) | node1(s199) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s104) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s92) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s101) | trans(s199, s100) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s89) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s91) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s77) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s86) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s83) | trans(s199, s90) | trans(s199, s75) | trans(s199, s87) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s112) | trans(s199, s105) | trans(s199, s98) | trans(s199, s66) | trans(s199, s111) | trans(s199, s30) | trans(s199, s37) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s38) | trans(s199, s46) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s5) | trans(s199, s61) | (~until5(s39)) | node4(s199)), inference(lemma,lemma(discharge,[]))).
% 5.71/5.20 tff(36465,plain,
% 5.71/5.20 (always3(s85)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36464, 35716, 13665, 13662, 13656, 13655, 11264, 35715, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 35714, 13626, 13624, 13622, 35867, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 35917, 35916, 13598, 13597, 13594, 13591, 13590, 36083, 13588, 13587, 13583, 36025, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 36293, 13571, 13570, 35806, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 36377, 13553, 35785, 13551, 36450, 36341, 13548, 36416, 13546, 13545, 13544, 36084, 13541, 13540, 13535, 36155, 13532, 13530, 13527, 35690, 35689, 35966, 13514, 35651, 13512, 13508, 36403, 13503, 13502, 13501, 36151, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474])).
% 5.71/5.20 tff(36466,plain,
% 5.71/5.20 (always3(s86)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5944, 36465])).
% 5.71/5.20 tff(36467,plain,
% 5.71/5.20 (always3(s87)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5932, 36466])).
% 5.71/5.20 tff(36468,plain,
% 5.71/5.20 (~m_main_v_state(s87, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16890, 145, 36467])).
% 5.71/5.20 tff(36469,plain,
% 5.71/5.20 (~m_main_v_state(s86, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10212, 145, 36466])).
% 5.71/5.20 tff(36470,plain,
% 5.71/5.20 (~node1(s85)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[32030, 36469])).
% 5.71/5.20 tff(36471,plain,
% 5.71/5.20 (m_main_v_state(s86, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[32038, 36470, 36469])).
% 5.71/5.20 tff(36472,plain,
% 5.71/5.20 (~m_main_v_request(s86)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16940, 36471, 36468])).
% 5.71/5.20 tff(36473,plain,
% 5.71/5.20 (~node4(s86)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16931, 63, 36472])).
% 5.71/5.20 tff(36474,plain,
% 5.71/5.20 (m_main_v_state(s87, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[32066, 36468])).
% 5.71/5.20 tff(36475,plain,
% 5.71/5.20 (~m_main_v_request(s87)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16915, 36474, 36392])).
% 5.71/5.20 tff(36476,plain,
% 5.71/5.20 (~node4(s87)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16906, 63, 36475])).
% 5.71/5.20 tff(36477,plain,
% 5.71/5.20 (node4(s87) | (~until2p7(s87))),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10180, 8293, 36404])).
% 5.71/5.20 tff(36478,plain,
% 5.71/5.20 (~until2p7(s87)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36477, 36476])).
% 5.71/5.20 tff(36479,plain,
% 5.71/5.20 (~xuntil2p8(s86)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10186, 36478])).
% 5.71/5.20 tff(36480,plain,
% 5.71/5.20 (~until2p7(s86)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10192, 8293, 36479, 36473])).
% 5.71/5.20 tff(36481,plain,
% 5.71/5.20 (~xuntil2p8(s85)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10198, 36480])).
% 5.71/5.20 tff(36482,plain,
% 5.71/5.20 (~until2p7(s85)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10238, 36481])).
% 5.71/5.20 tff(36483,plain,
% 5.71/5.20 (~xuntil2p8(s84)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10243, 36482])).
% 5.71/5.20 tff(36484,plain,
% 5.71/5.20 (~m_main_v_state(s85, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10228, 145, 36465])).
% 5.71/5.20 tff(36485,plain,
% 5.71/5.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s84)) | node2(s199, s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s84)) | node2(s199, s84))),
% 5.71/5.20 inference(rewrite,[status(thm)],[])).
% 5.71/5.20 tff(36486,plain,
% 5.71/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s84)) | node2(s199, s84))),
% 5.71/5.20 inference(quant_inst,[status(thm)],[])).
% 5.71/5.20 tff(36487,plain,
% 5.71/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s84)) | node2(s199, s84)),
% 5.71/5.20 inference(modus_ponens,[status(thm)],[36486, 36485])).
% 5.71/5.20 tff(36488,plain,
% 5.71/5.20 (node2(s199, s84)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36487, 11738, 7])).
% 5.71/5.20 tff(36489,assumption,(~m_main_v_state(s85, c_busy)), introduced(assumption)).
% 5.71/5.20 tff(36490,plain,
% 5.71/5.20 (until2p7(s84)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[11746, 11738, 11264])).
% 5.71/5.20 tff(36491,assumption,(~xuntil2p8(s84)), introduced(assumption)).
% 5.71/5.20 tff(36492,plain,
% 5.71/5.20 (node4(s84) | (~until2p7(s84))),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10250, 8293, 36491])).
% 5.71/5.20 tff(36493,plain,
% 5.71/5.20 (node4(s84)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36492, 36490])).
% 5.71/5.20 tff(36494,plain,
% 5.71/5.20 (m_main_v_request(s84)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16870, 63, 36493])).
% 5.71/5.20 tff(36495,plain,
% 5.71/5.20 (~m_main_v_state(s84, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16879, 36494, 36489])).
% 5.71/5.20 tff(36496,plain,
% 5.71/5.20 (always3(s84)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[24407, 11738])).
% 5.71/5.20 tff(36497,plain,
% 5.71/5.20 (~m_main_v_state(s84, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16469, 145, 36496])).
% 5.71/5.20 tff(36498,plain,
% 5.71/5.20 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (m_main_v_state(s84, c_busy) | m_main_v_state(s84, c_ready) | node1(s199) | (~node2(s199, s84)))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s84, c_busy) | m_main_v_state(s84, c_ready) | node1(s199) | (~node2(s199, s84)))),
% 5.71/5.20 inference(rewrite,[status(thm)],[])).
% 5.71/5.20 tff(36499,plain,
% 5.71/5.20 ((node1(s199) | m_main_v_state(s84, c_ready) | (~node2(s199, s84)) | m_main_v_state(s84, c_busy)) <=> (m_main_v_state(s84, c_busy) | m_main_v_state(s84, c_ready) | node1(s199) | (~node2(s199, s84)))),
% 5.71/5.20 inference(rewrite,[status(thm)],[])).
% 5.71/5.20 tff(36500,plain,
% 5.71/5.20 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s199) | m_main_v_state(s84, c_ready) | (~node2(s199, s84)) | m_main_v_state(s84, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (m_main_v_state(s84, c_busy) | m_main_v_state(s84, c_ready) | node1(s199) | (~node2(s199, s84))))),
% 5.71/5.20 inference(monotonicity,[status(thm)],[36499])).
% 5.71/5.20 tff(36501,plain,
% 5.71/5.20 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s199) | m_main_v_state(s84, c_ready) | (~node2(s199, s84)) | m_main_v_state(s84, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s84, c_busy) | m_main_v_state(s84, c_ready) | node1(s199) | (~node2(s199, s84)))),
% 5.71/5.20 inference(transitivity,[status(thm)],[36500, 36498])).
% 5.71/5.20 tff(36502,plain,
% 5.71/5.20 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s199) | m_main_v_state(s84, c_ready) | (~node2(s199, s84)) | m_main_v_state(s84, c_busy))),
% 5.71/5.20 inference(quant_inst,[status(thm)],[])).
% 5.71/5.20 tff(36503,plain,
% 5.71/5.20 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s84, c_busy) | m_main_v_state(s84, c_ready) | node1(s199) | (~node2(s199, s84))),
% 5.71/5.20 inference(modus_ponens,[status(thm)],[36502, 36501])).
% 5.71/5.20 tff(36504,plain,
% 5.71/5.20 ($false),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36503, 2250, 36497, 36495, 24176, 36488])).
% 5.71/5.20 tff(36505,plain,((~trans(s199, s84)) | node1(s199) | m_main_v_state(s85, c_busy) | xuntil2p8(s84) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.71/5.20 tff(36506,plain,
% 5.71/5.20 (~trans(s199, s84)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36505, 36484, 24176, 36483, 11264])).
% 5.71/5.20 tff(36507,plain,
% 5.71/5.20 (~trans(s199, s85)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[12098, 36482, 11264])).
% 5.71/5.20 tff(36508,plain,
% 5.71/5.20 (~trans(s199, s82)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[24346, 16543])).
% 5.71/5.20 tff(36509,plain,
% 5.71/5.20 (~trans(s199, s81)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[24556, 16544])).
% 5.71/5.20 tff(36510,plain,
% 5.71/5.20 (~trans(s199, s80)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[24573, 16552])).
% 5.71/5.20 tff(36511,plain,
% 5.71/5.20 (~trans(s199, s79)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[24384, 16557])).
% 5.71/5.20 tff(36512,plain,
% 5.71/5.20 ($false),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[35620, 36511, 36510, 11264, 13665, 13662, 32339, 13656, 13655, 13554, 13648, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13547, 13626, 13624, 13622, 13638, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13603, 13659, 13598, 13597, 13594, 13591, 13590, 13627, 13588, 13587, 13583, 13619, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13604, 13571, 13570, 13569, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 13589, 13553, 13552, 13551, 13658, 13549, 13548, 13654, 13546, 13545, 13544, 13550, 13542, 13541, 13540, 13535, 13534, 13532, 13530, 13527, 13543, 13525, 13518, 13515, 13514, 13644, 13512, 13508, 36509, 13504, 13503, 13502, 13501, 13500, 36508, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474])).
% 5.71/5.20 tff(36513,plain,(always3(s82) | (~xuntil6(s199)) | trans(s199, s63) | trans(s199, s36) | trans(s199, s117) | trans(s199, s50) | trans(s199, s110) | trans(s199, s109) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s49) | node1(s199) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s104) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s92) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s101) | trans(s199, s100) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s89) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s91) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s77) | trans(s199, s4) | trans(s199, s45) | trans(s199, s99) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s86) | trans(s199, s27) | trans(s199, s102) | trans(s199, s42) | trans(s199, s83) | trans(s199, s90) | trans(s199, s75) | trans(s199, s87) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s85) | trans(s199, s97) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s94) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s112) | trans(s199, s105) | trans(s199, s84) | trans(s199, s98) | trans(s199, s66) | trans(s199, s111) | trans(s199, s30) | trans(s199, s37) | trans(s199, s88) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s95) | trans(s199, s38) | trans(s199, s46) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s5) | trans(s199, s61) | (~until5(s39)) | node4(s199)), inference(lemma,lemma(discharge,[]))).
% 5.71/5.20 tff(36514,plain,
% 5.71/5.20 (always3(s82)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36513, 35716, 13665, 13662, 13656, 13655, 11264, 35715, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 35714, 13626, 13624, 13622, 35867, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 35917, 35916, 13598, 13597, 13594, 13591, 13590, 36083, 13588, 13587, 13583, 36025, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 36293, 13571, 13570, 35806, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 36377, 13553, 35785, 13551, 36450, 36341, 13548, 36416, 13546, 13545, 13544, 36507, 36084, 13541, 13540, 13535, 36155, 13532, 13530, 13527, 35690, 35689, 36506, 35966, 13514, 35651, 13512, 13508, 36403, 13503, 13502, 13501, 36151, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474])).
% 5.71/5.20 tff(36515,plain,
% 5.71/5.20 (~m_main_v_state(s82, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16604, 145, 36514])).
% 5.71/5.20 tff(36516,plain,
% 5.71/5.20 (always3(s83)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5980, 36514])).
% 5.71/5.20 tff(36517,plain,
% 5.71/5.20 (always3(s84)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5968, 36516])).
% 5.71/5.20 tff(36518,plain,
% 5.71/5.20 (~m_main_v_state(s84, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16469, 145, 36517])).
% 5.71/5.20 tff(36519,plain,
% 5.71/5.20 (~node4(s83)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16502, 36518])).
% 5.71/5.20 tff(36520,plain,
% 5.71/5.20 (m_main_v_state(s84, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16473, 188, 36518])).
% 5.71/5.20 tff(36521,plain,
% 5.71/5.20 (~m_main_v_request(s84)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16879, 36520, 36484])).
% 5.71/5.20 tff(36522,plain,
% 5.71/5.20 (~node4(s84)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16870, 63, 36521])).
% 5.71/5.20 tff(36523,plain,
% 5.71/5.20 (node4(s84) | (~until2p7(s84))),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10250, 8293, 36483])).
% 5.71/5.20 tff(36524,plain,
% 5.71/5.20 (~until2p7(s84)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36523, 36522])).
% 5.71/5.20 tff(36525,plain,
% 5.71/5.20 (~xuntil2p8(s83)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10256, 36524])).
% 5.71/5.20 tff(36526,plain,
% 5.71/5.20 (~until2p7(s83)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10262, 8293, 36525, 36519])).
% 5.71/5.20 tff(36527,plain,
% 5.71/5.20 (~xuntil2p8(s82)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10268, 36526])).
% 5.71/5.20 tff(36528,plain,
% 5.71/5.20 (~m_main_v_state(s83, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16496, 145, 36516])).
% 5.71/5.20 tff(36529,plain,
% 5.71/5.20 (~node1(s81)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[31988, 36515])).
% 5.71/5.20 tff(36530,plain,
% 5.71/5.20 (m_main_v_state(s82, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[31996, 36529, 36515])).
% 5.71/5.20 tff(36531,plain,
% 5.71/5.20 (~m_main_v_request(s82)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16597, 36530, 36528])).
% 5.71/5.20 tff(36532,plain,
% 5.71/5.20 (~node4(s82)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16588, 63, 36531])).
% 5.71/5.20 tff(36533,plain,
% 5.71/5.20 (xuntil2p8(s82) | (~until2p7(s82))),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10274, 8293, 36532])).
% 5.71/5.20 tff(36534,plain,
% 5.71/5.20 (~until2p7(s82)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36533, 36527])).
% 5.71/5.20 tff(36535,plain,
% 5.71/5.20 (~trans(s199, s82)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[11526, 36534, 11264])).
% 5.71/5.20 tff(36536,plain,
% 5.71/5.20 (~xuntil2p8(s81)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10280, 36534])).
% 5.71/5.20 tff(36537,plain,
% 5.71/5.20 (always3(s79)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[24384, 11606])).
% 5.71/5.20 tff(36538,plain,
% 5.71/5.20 (always3(s80)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[6016, 36537])).
% 5.71/5.20 tff(36539,plain,
% 5.71/5.20 (always3(s81)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[6004, 36538])).
% 5.71/5.20 tff(36540,plain,
% 5.71/5.20 (~m_main_v_state(s81, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16651, 145, 36539])).
% 5.71/5.20 tff(36541,plain,
% 5.71/5.20 (~m_main_v_state(s80, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16702, 145, 36538])).
% 5.71/5.20 tff(36542,plain,
% 5.71/5.20 (m_main_v_state(s80, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[31943, 36541])).
% 5.71/5.20 tff(36543,plain,
% 5.71/5.20 (~m_main_v_request(s80)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16744, 36542, 36540])).
% 5.71/5.20 tff(36544,plain,
% 5.71/5.20 (~node4(s80)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16748, 63, 36543])).
% 5.71/5.20 tff(36545,plain,
% 5.71/5.20 (~node4(s79)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16731, 36541])).
% 5.71/5.20 tff(36546,plain,
% 5.71/5.20 (until2p7(s79)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[11614, 11606, 11264])).
% 5.71/5.20 tff(36547,plain,
% 5.71/5.20 (node4(s79) | xuntil2p8(s79)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10310, 8293, 36546])).
% 5.71/5.20 tff(36548,plain,
% 5.71/5.20 (xuntil2p8(s79)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36547, 36545])).
% 5.71/5.20 tff(36549,plain,
% 5.71/5.20 (until2p7(s80)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10304, 36548])).
% 5.71/5.20 tff(36550,plain,
% 5.71/5.20 (node4(s80) | xuntil2p8(s80)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10298, 8293, 36549])).
% 5.71/5.20 tff(36551,plain,
% 5.71/5.20 (xuntil2p8(s80)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36550, 36544])).
% 5.71/5.20 tff(36552,plain,
% 5.71/5.20 (m_main_v_state(s81, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[31970, 36540])).
% 5.71/5.20 tff(36553,plain,
% 5.71/5.20 (~m_main_v_request(s81)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16664, 36552, 16614])).
% 5.71/5.20 tff(36554,plain,
% 5.71/5.20 (~node4(s81)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16668, 63, 36553])).
% 5.71/5.20 tff(36555,assumption,(~xuntil2p8(s81)), introduced(assumption)).
% 5.71/5.20 tff(36556,plain,
% 5.71/5.20 (node4(s81) | (~until2p7(s81))),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10286, 8293, 36555])).
% 5.71/5.20 tff(36557,plain,
% 5.71/5.20 (~until2p7(s81)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36556, 36554])).
% 5.71/5.20 tff(36558,plain,
% 5.71/5.20 ($false),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10292, 36557, 36551])).
% 5.71/5.20 tff(36559,plain,((~trans(s199, s79)) | xuntil2p8(s81) | m_main_v_state(s82, c_busy) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.71/5.20 tff(36560,plain,
% 5.71/5.20 (~trans(s199, s79)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36559, 36536, 36515, 11264])).
% 5.71/5.20 tff(36561,plain,
% 5.71/5.20 (always3(s80)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[24573, 12442])).
% 5.71/5.20 tff(36562,plain,
% 5.71/5.20 (always3(s81)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[6004, 36561])).
% 5.71/5.20 tff(36563,plain,
% 5.71/5.20 (~m_main_v_state(s81, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16651, 145, 36562])).
% 5.71/5.20 tff(36564,plain,
% 5.71/5.20 (~m_main_v_state(s80, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16702, 145, 36561])).
% 5.71/5.20 tff(36565,plain,
% 5.71/5.20 (m_main_v_state(s80, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[31943, 36564])).
% 5.71/5.20 tff(36566,plain,
% 5.71/5.20 (~m_main_v_request(s80)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16744, 36565, 36563])).
% 5.71/5.20 tff(36567,plain,
% 5.71/5.20 (~node4(s80)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16748, 63, 36566])).
% 5.71/5.20 tff(36568,plain,
% 5.71/5.20 (until2p7(s80)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[12450, 12442, 11264])).
% 5.71/5.20 tff(36569,plain,
% 5.71/5.20 (node4(s80) | xuntil2p8(s80)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10298, 8293, 36568])).
% 5.71/5.20 tff(36570,plain,
% 5.71/5.20 (xuntil2p8(s80)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36569, 36567])).
% 5.71/5.20 tff(36571,plain,
% 5.71/5.20 (m_main_v_state(s81, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[31970, 36563])).
% 5.71/5.20 tff(36572,plain,
% 5.71/5.20 (~m_main_v_request(s81)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16664, 36571, 16614])).
% 5.71/5.20 tff(36573,plain,
% 5.71/5.20 (~node4(s81)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16668, 63, 36572])).
% 5.71/5.20 tff(36574,plain,
% 5.71/5.20 (~until2p7(s81)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36556, 36573])).
% 5.71/5.20 tff(36575,plain,
% 5.71/5.20 ($false),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10292, 36574, 36570])).
% 5.71/5.20 tff(36576,plain,((~trans(s199, s80)) | xuntil2p8(s81) | m_main_v_state(s82, c_busy) | (~xuntil6(s199))), inference(lemma,lemma(discharge,[]))).
% 5.71/5.20 tff(36577,plain,
% 5.71/5.20 (~trans(s199, s80)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36576, 36536, 36515, 11264])).
% 5.71/5.20 tff(36578,plain,
% 5.71/5.20 (trans(s199, s81)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[35620, 36577, 11264, 13665, 13662, 32339, 13656, 13655, 35716, 35715, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 24176, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 35714, 13626, 13624, 13622, 35867, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 35917, 35916, 13598, 13597, 13594, 13591, 13590, 36083, 13588, 13587, 13583, 36025, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 36293, 13571, 13570, 35806, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 36377, 13553, 35785, 13551, 36450, 36341, 13548, 36416, 13546, 13545, 13544, 36507, 36084, 13541, 13540, 13535, 36155, 13532, 13530, 13527, 35690, 35689, 36506, 35966, 13514, 35651, 13512, 13508, 36560, 36403, 13503, 13502, 13501, 36151, 36535, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 18474])).
% 5.71/5.20 tff(36579,plain,
% 5.71/5.20 (until2p7(s81)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[12340, 36578, 11264])).
% 5.71/5.20 tff(36580,plain,
% 5.71/5.20 (node4(s81) | (~until2p7(s81))),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[10286, 8293, 36536])).
% 5.71/5.20 tff(36581,plain,
% 5.71/5.20 (node4(s81)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36580, 36579])).
% 5.71/5.20 tff(36582,plain,
% 5.71/5.20 (m_main_v_request(s81)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16668, 63, 36581])).
% 5.71/5.20 tff(36583,plain,
% 5.71/5.20 (always3(s81)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[24556, 36578])).
% 5.71/5.20 tff(36584,plain,
% 5.71/5.20 (~m_main_v_state(s81, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16651, 145, 36583])).
% 5.71/5.20 tff(36585,plain,
% 5.71/5.20 (m_main_v_state(s81, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[31970, 36584])).
% 5.71/5.20 tff(36586,plain,
% 5.71/5.20 ($false),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[16664, 36585, 36582, 36515])).
% 5.71/5.20 tff(36587,plain,(trans(s199, s93) | (~xuntil6(s199)) | trans(s199, s63) | trans(s199, s36) | trans(s199, s117) | trans(s199, s50) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s49) | node1(s199) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s4) | trans(s199, s45) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s27) | trans(s199, s42) | trans(s199, s75) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s66) | trans(s199, s30) | trans(s199, s37) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s38) | trans(s199, s46) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s5) | trans(s199, s61) | (~until5(s39)) | node4(s199)), inference(lemma,lemma(discharge,[]))).
% 5.71/5.20 tff(36588,plain,
% 5.71/5.20 (trans(s199, s93)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36587, 24175, 13665, 13662, 24111, 13655, 13652, 13651, 13650, 13647, 13646, 13645, 13639, 18145, 13637, 13636, 13635, 13633, 13632, 13631, 13628, 13626, 13624, 13622, 13617, 13616, 13615, 13609, 13608, 13606, 13605, 13598, 13597, 13594, 13591, 13590, 13588, 13587, 13583, 13581, 13579, 13577, 13576, 13575, 13574, 13573, 13571, 13570, 13567, 13565, 13564, 13562, 13559, 13556, 13555, 13553, 13551, 13548, 13546, 13545, 13544, 13541, 13540, 13535, 13532, 13530, 13527, 13514, 13512, 13508, 13503, 13502, 13501, 13493, 13490, 13438, 13437, 13435, 13434, 13378, 13664, 7086, 69])).
% 5.71/5.20 tff(36589,plain,
% 5.71/5.20 (always3(s93)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[24324, 36588])).
% 5.71/5.20 tff(36590,plain,
% 5.71/5.20 (always3(s94)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5848, 36589])).
% 5.71/5.20 tff(36591,plain,
% 5.71/5.20 (always3(s95)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5836, 36590])).
% 5.71/5.20 tff(36592,plain,
% 5.71/5.20 (always3(s96)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5824, 36591])).
% 5.71/5.20 tff(36593,plain,
% 5.71/5.20 (always3(s97)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5812, 36592])).
% 5.71/5.20 tff(36594,plain,
% 5.71/5.20 (always3(s98)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5800, 36593])).
% 5.71/5.20 tff(36595,plain,
% 5.71/5.20 (always3(s99)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5788, 36594])).
% 5.71/5.20 tff(36596,plain,
% 5.71/5.20 (always3(s100)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5776, 36595])).
% 5.71/5.20 tff(36597,plain,
% 5.71/5.20 (always3(s101)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5764, 36596])).
% 5.71/5.20 tff(36598,plain,
% 5.71/5.20 (always3(s102)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5752, 36597])).
% 5.71/5.20 tff(36599,plain,
% 5.71/5.20 (always3(s103)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5740, 36598])).
% 5.71/5.20 tff(36600,plain,
% 5.71/5.20 (always3(s104)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5728, 36599])).
% 5.71/5.20 tff(36601,plain,
% 5.71/5.20 (always3(s105)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5712, 36600])).
% 5.71/5.20 tff(36602,plain,
% 5.71/5.20 (always3(s106)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5700, 36601])).
% 5.71/5.20 tff(36603,plain,
% 5.71/5.20 (always3(s107)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5688, 36602])).
% 5.71/5.20 tff(36604,plain,
% 5.71/5.20 (always3(s108)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5676, 36603])).
% 5.71/5.20 tff(36605,plain,
% 5.71/5.20 (always3(s109)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5664, 36604])).
% 5.71/5.20 tff(36606,plain,
% 5.71/5.20 (always3(s110)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5652, 36605])).
% 5.71/5.20 tff(36607,plain,
% 5.71/5.20 (always3(s111)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5640, 36606])).
% 5.71/5.20 tff(36608,plain,
% 5.71/5.20 (always3(s112)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5628, 36607])).
% 5.71/5.20 tff(36609,plain,
% 5.71/5.20 (always3(s113)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5616, 36608])).
% 5.71/5.20 tff(36610,plain,
% 5.71/5.20 (always3(s114)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5604, 36609])).
% 5.71/5.20 tff(36611,plain,
% 5.71/5.20 (~m_main_v_state(s114, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[18176, 145, 36610])).
% 5.71/5.20 tff(36612,plain,
% 5.71/5.20 (~m_main_v_state(s113, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[18192, 145, 36609])).
% 5.71/5.20 tff(36613,plain,
% 5.71/5.20 (m_main_v_state(s113, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[32205, 36612])).
% 5.71/5.20 tff(36614,plain,
% 5.71/5.20 (~m_main_v_request(s113)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[18185, 36613, 36611])).
% 5.71/5.20 tff(36615,plain,
% 5.71/5.20 (~node4(s113)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[18153, 63, 36614])).
% 5.71/5.20 tff(36616,plain,
% 5.71/5.20 (always3(s115)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[30894, 69])).
% 5.71/5.20 tff(36617,plain,
% 5.71/5.20 (~m_main_v_state(s115, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[18280, 145, 36616])).
% 5.71/5.20 tff(36618,plain,
% 5.71/5.20 (~node1(s113)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[32220, 36611])).
% 5.71/5.20 tff(36619,plain,
% 5.71/5.20 (m_main_v_state(s114, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[32228, 36611, 36618])).
% 5.71/5.20 tff(36620,plain,
% 5.71/5.20 (~m_main_v_request(s114)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[18314, 36619, 36617])).
% 5.71/5.20 tff(36621,plain,
% 5.71/5.20 (~node4(s114)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[18305, 63, 36620])).
% 5.71/5.20 tff(36622,plain,
% 5.71/5.20 (always3(s116)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5580, 36616])).
% 5.71/5.20 tff(36623,plain,
% 5.71/5.20 (always3(s117)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5568, 36622])).
% 5.71/5.20 tff(36624,plain,
% 5.71/5.20 (always3(s118)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5556, 36623])).
% 5.71/5.20 tff(36625,plain,
% 5.71/5.20 (always3(s119)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5544, 36624])).
% 5.71/5.20 tff(36626,plain,
% 5.71/5.20 (always3(s120)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5532, 36625])).
% 5.71/5.20 tff(36627,plain,
% 5.71/5.20 (always3(s121)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5520, 36626])).
% 5.71/5.20 tff(36628,plain,
% 5.71/5.20 (always3(s122)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5508, 36627])).
% 5.71/5.20 tff(36629,plain,
% 5.71/5.20 (always3(s123)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5496, 36628])).
% 5.71/5.20 tff(36630,plain,
% 5.71/5.20 (always3(s124)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5484, 36629])).
% 5.71/5.20 tff(36631,plain,
% 5.71/5.20 (always3(s125)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5472, 36630])).
% 5.71/5.20 tff(36632,plain,
% 5.71/5.20 (always3(s126)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5460, 36631])).
% 5.71/5.20 tff(36633,plain,
% 5.71/5.20 (always3(s127)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5448, 36632])).
% 5.71/5.20 tff(36634,plain,
% 5.71/5.20 (always3(s128)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5436, 36633])).
% 5.71/5.20 tff(36635,plain,
% 5.71/5.20 (always3(s129)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5412, 36634])).
% 5.71/5.20 tff(36636,plain,
% 5.71/5.20 (always3(s130)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5383, 36635])).
% 5.71/5.20 tff(36637,plain,
% 5.71/5.20 (always3(s131)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5354, 36636])).
% 5.71/5.20 tff(36638,plain,
% 5.71/5.20 (always3(s132)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5325, 36637])).
% 5.71/5.20 tff(36639,plain,
% 5.71/5.20 (always3(s133)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5296, 36638])).
% 5.71/5.20 tff(36640,plain,
% 5.71/5.20 (always3(s134)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5267, 36639])).
% 5.71/5.20 tff(36641,plain,
% 5.71/5.20 (always3(s135)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5238, 36640])).
% 5.71/5.20 tff(36642,plain,
% 5.71/5.20 (always3(s136)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5209, 36641])).
% 5.71/5.20 tff(36643,plain,
% 5.71/5.20 (always3(s137)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5180, 36642])).
% 5.71/5.20 tff(36644,plain,
% 5.71/5.20 (always3(s138)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5151, 36643])).
% 5.71/5.20 tff(36645,plain,
% 5.71/5.20 (always3(s139)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5122, 36644])).
% 5.71/5.20 tff(36646,plain,
% 5.71/5.20 (always3(s140)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5093, 36645])).
% 5.71/5.20 tff(36647,plain,
% 5.71/5.20 (always3(s141)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5064, 36646])).
% 5.71/5.20 tff(36648,plain,
% 5.71/5.20 (always3(s142)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5035, 36647])).
% 5.71/5.20 tff(36649,plain,
% 5.71/5.20 (always3(s143)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[5006, 36648])).
% 5.71/5.20 tff(36650,plain,
% 5.71/5.20 (always3(s144)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4968, 36649])).
% 5.71/5.20 tff(36651,plain,
% 5.71/5.20 (always3(s145)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4334, 36650])).
% 5.71/5.20 tff(36652,plain,
% 5.71/5.20 (always3(s146)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4322, 36651])).
% 5.71/5.20 tff(36653,plain,
% 5.71/5.20 (always3(s147)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4310, 36652])).
% 5.71/5.20 tff(36654,plain,
% 5.71/5.20 (always3(s148)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4298, 36653])).
% 5.71/5.20 tff(36655,plain,
% 5.71/5.20 (always3(s149)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4286, 36654])).
% 5.71/5.20 tff(36656,plain,
% 5.71/5.20 (always3(s150)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4274, 36655])).
% 5.71/5.20 tff(36657,plain,
% 5.71/5.20 (always3(s151)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4262, 36656])).
% 5.71/5.20 tff(36658,plain,
% 5.71/5.20 (always3(s152)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4250, 36657])).
% 5.71/5.20 tff(36659,plain,
% 5.71/5.20 (always3(s153)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4238, 36658])).
% 5.71/5.20 tff(36660,plain,
% 5.71/5.20 (always3(s154)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4226, 36659])).
% 5.71/5.20 tff(36661,plain,
% 5.71/5.20 (always3(s155)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4214, 36660])).
% 5.71/5.20 tff(36662,plain,
% 5.71/5.20 (always3(s156)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4202, 36661])).
% 5.71/5.20 tff(36663,plain,
% 5.71/5.20 (always3(s157)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4190, 36662])).
% 5.71/5.20 tff(36664,plain,
% 5.71/5.20 (always3(s158)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4178, 36663])).
% 5.71/5.20 tff(36665,plain,
% 5.71/5.20 (always3(s159)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4166, 36664])).
% 5.71/5.20 tff(36666,plain,
% 5.71/5.20 (always3(s160)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4154, 36665])).
% 5.71/5.20 tff(36667,plain,
% 5.71/5.20 (always3(s161)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4142, 36666])).
% 5.71/5.20 tff(36668,plain,
% 5.71/5.20 (always3(s162)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4130, 36667])).
% 5.71/5.20 tff(36669,plain,
% 5.71/5.20 (always3(s163)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4118, 36668])).
% 5.71/5.20 tff(36670,plain,
% 5.71/5.20 (always3(s164)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4106, 36669])).
% 5.71/5.20 tff(36671,plain,
% 5.71/5.20 (always3(s165)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4094, 36670])).
% 5.71/5.20 tff(36672,plain,
% 5.71/5.20 (always3(s166)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4082, 36671])).
% 5.71/5.20 tff(36673,plain,
% 5.71/5.20 (always3(s167)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4070, 36672])).
% 5.71/5.20 tff(36674,plain,
% 5.71/5.20 (always3(s168)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4058, 36673])).
% 5.71/5.20 tff(36675,plain,
% 5.71/5.20 (always3(s169)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4046, 36674])).
% 5.71/5.20 tff(36676,plain,
% 5.71/5.20 (always3(s170)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4034, 36675])).
% 5.71/5.20 tff(36677,plain,
% 5.71/5.20 (always3(s171)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4022, 36676])).
% 5.71/5.20 tff(36678,plain,
% 5.71/5.20 (always3(s172)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4010, 36677])).
% 5.71/5.20 tff(36679,plain,
% 5.71/5.20 (always3(s173)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[3998, 36678])).
% 5.71/5.20 tff(36680,plain,
% 5.71/5.20 (always3(s174)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[3986, 36679])).
% 5.71/5.20 tff(36681,plain,
% 5.71/5.20 (always3(s175)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[3973, 36680])).
% 5.71/5.20 tff(36682,plain,
% 5.71/5.20 (always3(s176)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[3961, 36681])).
% 5.71/5.20 tff(36683,plain,
% 5.71/5.20 (always3(s177)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[3949, 36682])).
% 5.71/5.20 tff(36684,plain,
% 5.71/5.20 (always3(s178)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[3937, 36683])).
% 5.71/5.20 tff(36685,plain,
% 5.71/5.20 (always3(s179)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[3925, 36684])).
% 5.71/5.20 tff(36686,plain,
% 5.71/5.20 (always3(s180)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[3913, 36685])).
% 5.71/5.20 tff(36687,plain,
% 5.71/5.20 (always3(s181)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[3901, 36686])).
% 5.71/5.20 tff(36688,plain,
% 5.71/5.20 (~m_main_v_state(s181, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23041, 145, 36687])).
% 5.71/5.20 tff(36689,plain,
% 5.71/5.20 (~m_main_v_state(s180, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23086, 145, 36686])).
% 5.71/5.20 tff(36690,plain,
% 5.71/5.20 (m_main_v_state(s180, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23090, 188, 36689])).
% 5.71/5.20 tff(36691,plain,
% 5.71/5.20 (~m_main_v_request(s180)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23079, 36690, 36688])).
% 5.71/5.20 tff(36692,plain,
% 5.71/5.20 (~node4(s180)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23070, 63, 36691])).
% 5.71/5.20 tff(36693,plain,
% 5.71/5.20 (always3(s182)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[3885, 36687])).
% 5.71/5.20 tff(36694,plain,
% 5.71/5.20 (~m_main_v_state(s182, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8159, 145, 36693])).
% 5.71/5.20 tff(36695,plain,
% 5.71/5.20 (m_main_v_state(s181, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23045, 188, 36688])).
% 5.71/5.20 tff(36696,plain,
% 5.71/5.20 (~m_main_v_request(s181)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23054, 36695, 36694])).
% 5.71/5.20 tff(36697,plain,
% 5.71/5.20 (~node4(s181)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23058, 63, 36696])).
% 5.71/5.20 tff(36698,plain,
% 5.71/5.20 (always3(s183)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[3873, 36693])).
% 5.71/5.20 tff(36699,plain,
% 5.71/5.20 (always3(s184)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[3857, 36698])).
% 5.71/5.20 tff(36700,plain,
% 5.71/5.20 (~m_main_v_state(s184, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8570, 145, 36699])).
% 5.71/5.20 tff(36701,plain,
% 5.71/5.20 (~m_main_v_state(s183, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8143, 145, 36698])).
% 5.71/5.20 tff(36702,plain,
% 5.71/5.20 (m_main_v_state(s182, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23834, 36694])).
% 5.71/5.20 tff(36703,plain,
% 5.71/5.20 (m_main_v_state(s183, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23852, 36702, 36701])).
% 5.71/5.20 tff(36704,plain,
% 5.71/5.20 (~m_main_v_request(s183)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23248, 36703, 36700])).
% 5.71/5.20 tff(36705,plain,
% 5.71/5.20 (~node4(s183)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23239, 63, 36704])).
% 5.71/5.20 tff(36706,plain,
% 5.71/5.20 (node4(s183) | (~until2p7(s183))),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8589, 8293, 16114])).
% 5.71/5.20 tff(36707,plain,
% 5.71/5.20 (~until2p7(s183)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36706, 36705])).
% 5.71/5.20 tff(36708,plain,
% 5.71/5.20 (~xuntil2p8(s182)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8595, 36707])).
% 5.71/5.20 tff(36709,plain,
% 5.71/5.20 (~until2p7(s182)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8600, 36708])).
% 5.71/5.20 tff(36710,plain,
% 5.71/5.20 (~xuntil2p8(s181)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8605, 36709])).
% 5.71/5.20 tff(36711,plain,
% 5.71/5.20 (~until2p7(s181)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8609, 8293, 36710, 36697])).
% 5.71/5.20 tff(36712,plain,
% 5.71/5.20 (~xuntil2p8(s180)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8615, 36711])).
% 5.71/5.20 tff(36713,plain,
% 5.71/5.20 (~until2p7(s180)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8620, 8293, 36712, 36692])).
% 5.71/5.20 tff(36714,plain,
% 5.71/5.20 (~xuntil2p8(s179)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8626, 36713])).
% 5.71/5.20 tff(36715,plain,
% 5.71/5.20 (~m_main_v_state(s179, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8651, 145, 36685])).
% 5.71/5.20 tff(36716,plain,
% 5.71/5.20 (m_main_v_state(s179, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[30997, 36715])).
% 5.71/5.20 tff(36717,plain,
% 5.71/5.20 (~m_main_v_request(s179)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23178, 36716, 36689])).
% 5.71/5.20 tff(36718,plain,
% 5.71/5.20 (~node4(s179)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23167, 63, 36717])).
% 5.71/5.20 tff(36719,plain,
% 5.71/5.20 (xuntil2p8(s179) | (~until2p7(s179))),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8631, 8293, 36718])).
% 5.71/5.20 tff(36720,plain,
% 5.71/5.20 (~until2p7(s179)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36719, 36714])).
% 5.71/5.20 tff(36721,plain,
% 5.71/5.20 (~xuntil2p8(s178)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8637, 36720])).
% 5.71/5.20 tff(36722,plain,
% 5.71/5.20 (~until2p7(s178)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8677, 36721])).
% 5.71/5.20 tff(36723,plain,
% 5.71/5.20 (~xuntil2p8(s177)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8682, 36722])).
% 5.71/5.20 tff(36724,plain,
% 5.71/5.20 (~until2p7(s177)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8716, 36723])).
% 5.71/5.20 tff(36725,plain,
% 5.71/5.20 (~xuntil2p8(s176)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8721, 36724])).
% 5.71/5.20 tff(36726,plain,
% 5.71/5.20 (~m_main_v_state(s177, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8706, 145, 36683])).
% 5.71/5.20 tff(36727,plain,
% 5.71/5.20 (~m_main_v_state(s176, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23111, 145, 36682])).
% 5.71/5.20 tff(36728,plain,
% 5.71/5.20 (m_main_v_state(s176, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23117, 188, 36727])).
% 5.71/5.20 tff(36729,plain,
% 5.71/5.20 (~m_main_v_request(s176)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23126, 36728, 36726])).
% 5.71/5.20 tff(36730,plain,
% 5.71/5.20 (~node4(s176)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23130, 63, 36729])).
% 5.71/5.20 tff(36731,plain,
% 5.71/5.20 (xuntil2p8(s176) | (~until2p7(s176))),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8726, 8293, 36730])).
% 5.71/5.20 tff(36732,plain,
% 5.71/5.20 (~until2p7(s176)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36731, 36725])).
% 5.71/5.20 tff(36733,plain,
% 5.71/5.20 (~xuntil2p8(s175)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8732, 36732])).
% 5.71/5.20 tff(36734,plain,
% 5.71/5.20 (~m_main_v_state(s175, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22998, 145, 36681])).
% 5.71/5.20 tff(36735,plain,
% 5.71/5.20 (m_main_v_state(s175, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23152, 188, 36734])).
% 5.71/5.20 tff(36736,plain,
% 5.71/5.20 (~m_main_v_request(s175)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23146, 36735, 36727])).
% 5.71/5.20 tff(36737,plain,
% 5.71/5.20 (~node4(s175)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23137, 63, 36736])).
% 5.71/5.20 tff(36738,plain,
% 5.71/5.20 (xuntil2p8(s175) | (~until2p7(s175))),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8737, 8293, 36737])).
% 5.71/5.20 tff(36739,plain,
% 5.71/5.20 (~until2p7(s175)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36738, 36733])).
% 5.71/5.20 tff(36740,plain,
% 5.71/5.20 (~xuntil2p8(s174)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8743, 36739])).
% 5.71/5.20 tff(36741,plain,
% 5.71/5.20 (~m_main_v_state(s174, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22810, 145, 36680])).
% 5.71/5.20 tff(36742,plain,
% 5.71/5.20 (m_main_v_state(s174, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23019, 188, 36741])).
% 5.71/5.20 tff(36743,plain,
% 5.71/5.20 (~m_main_v_request(s174)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23014, 36742, 36734])).
% 5.71/5.20 tff(36744,plain,
% 5.71/5.20 (~node4(s174)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23005, 63, 36743])).
% 5.71/5.20 tff(36745,plain,
% 5.71/5.20 (xuntil2p8(s174) | (~until2p7(s174))),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8748, 8293, 36744])).
% 5.71/5.20 tff(36746,plain,
% 5.71/5.20 (~until2p7(s174)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36745, 36740])).
% 5.71/5.20 tff(36747,plain,
% 5.71/5.20 (~xuntil2p8(s173)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8754, 36746])).
% 5.71/5.20 tff(36748,plain,
% 5.71/5.20 (~m_main_v_state(s173, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22801, 145, 36679])).
% 5.71/5.20 tff(36749,plain,
% 5.71/5.20 (m_main_v_state(s173, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23919, 36748])).
% 5.71/5.20 tff(36750,plain,
% 5.71/5.20 (~m_main_v_request(s173)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22826, 36749, 36741])).
% 5.71/5.20 tff(36751,plain,
% 5.71/5.20 (~node4(s173)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22817, 63, 36750])).
% 5.71/5.20 tff(36752,plain,
% 5.71/5.20 (xuntil2p8(s173) | (~until2p7(s173))),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8760, 8293, 36751])).
% 5.71/5.20 tff(36753,plain,
% 5.71/5.20 (~until2p7(s173)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36752, 36747])).
% 5.71/5.20 tff(36754,plain,
% 5.71/5.20 (~xuntil2p8(s172)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8766, 36753])).
% 5.71/5.20 tff(36755,plain,
% 5.71/5.20 (~m_main_v_state(s172, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22880, 145, 36678])).
% 5.71/5.20 tff(36756,plain,
% 5.71/5.20 (m_main_v_state(s172, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22948, 188, 36755])).
% 5.71/5.20 tff(36757,plain,
% 5.71/5.20 (~m_main_v_request(s172)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22942, 36756, 36748])).
% 5.71/5.20 tff(36758,plain,
% 5.71/5.20 (~node4(s172)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22933, 63, 36757])).
% 5.71/5.20 tff(36759,plain,
% 5.71/5.20 (xuntil2p8(s172) | (~until2p7(s172))),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8772, 8293, 36758])).
% 5.71/5.20 tff(36760,plain,
% 5.71/5.20 (~until2p7(s172)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36759, 36754])).
% 5.71/5.20 tff(36761,plain,
% 5.71/5.20 (~xuntil2p8(s171)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8778, 36760])).
% 5.71/5.20 tff(36762,plain,
% 5.71/5.20 (~m_main_v_state(s171, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22872, 145, 36677])).
% 5.71/5.20 tff(36763,plain,
% 5.71/5.20 (m_main_v_state(s171, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[31064, 36762])).
% 5.71/5.20 tff(36764,plain,
% 5.71/5.20 (~m_main_v_request(s171)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22893, 36763, 36755])).
% 5.71/5.20 tff(36765,plain,
% 5.71/5.20 (~node4(s171)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22897, 63, 36764])).
% 5.71/5.20 tff(36766,plain,
% 5.71/5.20 (xuntil2p8(s171) | (~until2p7(s171))),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8784, 8293, 36765])).
% 5.71/5.20 tff(36767,plain,
% 5.71/5.20 (~until2p7(s171)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36766, 36761])).
% 5.71/5.20 tff(36768,plain,
% 5.71/5.20 (~xuntil2p8(s170)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8790, 36767])).
% 5.71/5.20 tff(36769,plain,
% 5.71/5.20 (~m_main_v_state(s170, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22921, 145, 36676])).
% 5.71/5.20 tff(36770,plain,
% 5.71/5.20 (~m_main_v_state(s169, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8828, 145, 36675])).
% 5.71/5.20 tff(36771,plain,
% 5.71/5.20 (m_main_v_state(s169, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23951, 36770])).
% 5.71/5.20 tff(36772,plain,
% 5.71/5.20 (m_main_v_state(s170, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[31090, 36771, 36769])).
% 5.71/5.20 tff(36773,plain,
% 5.71/5.20 (~m_main_v_request(s170)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22913, 36772, 36762])).
% 5.71/5.20 tff(36774,plain,
% 5.71/5.20 (~node4(s170)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22904, 63, 36773])).
% 5.71/5.20 tff(36775,plain,
% 5.71/5.20 (xuntil2p8(s170) | (~until2p7(s170))),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8796, 8293, 36774])).
% 5.71/5.20 tff(36776,plain,
% 5.71/5.20 (~until2p7(s170)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36775, 36768])).
% 5.71/5.20 tff(36777,plain,
% 5.71/5.20 (~xuntil2p8(s169)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8802, 36776])).
% 5.71/5.20 tff(36778,plain,
% 5.71/5.20 (~m_main_v_request(s169)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22966, 36771, 36769])).
% 5.71/5.20 tff(36779,plain,
% 5.71/5.20 (~node4(s169)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22970, 63, 36778])).
% 5.71/5.20 tff(36780,plain,
% 5.71/5.20 (xuntil2p8(s169) | (~until2p7(s169))),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8808, 8293, 36779])).
% 5.71/5.20 tff(36781,plain,
% 5.71/5.20 (~until2p7(s169)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36780, 36777])).
% 5.71/5.20 tff(36782,plain,
% 5.71/5.20 (~xuntil2p8(s168)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8814, 36781])).
% 5.71/5.20 tff(36783,plain,
% 5.71/5.20 (~until2p7(s168)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8854, 36782])).
% 5.71/5.20 tff(36784,plain,
% 5.71/5.20 (~xuntil2p8(s167)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8859, 36783])).
% 5.71/5.20 tff(36785,plain,
% 5.71/5.20 (~m_main_v_state(s168, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8844, 145, 36674])).
% 5.71/5.20 tff(36786,plain,
% 5.71/5.20 (~m_main_v_state(s167, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8886, 145, 36673])).
% 5.71/5.20 tff(36787,plain,
% 5.71/5.20 (m_main_v_state(s167, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[23981, 36786])).
% 5.71/5.20 tff(36788,plain,
% 5.71/5.20 (~m_main_v_request(s167)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22436, 36787, 36785])).
% 5.71/5.20 tff(36789,plain,
% 5.71/5.20 (~node4(s167)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22427, 63, 36788])).
% 5.71/5.20 tff(36790,plain,
% 5.71/5.20 (xuntil2p8(s167) | (~until2p7(s167))),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8866, 8293, 36789])).
% 5.71/5.20 tff(36791,plain,
% 5.71/5.20 (~until2p7(s167)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36790, 36784])).
% 5.71/5.20 tff(36792,plain,
% 5.71/5.20 (~xuntil2p8(s166)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8872, 36791])).
% 5.71/5.20 tff(36793,plain,
% 5.71/5.20 (~until2p7(s166)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8912, 36792])).
% 5.71/5.20 tff(36794,plain,
% 5.71/5.20 (~xuntil2p8(s165)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8917, 36793])).
% 5.71/5.20 tff(36795,plain,
% 5.71/5.20 (~until2p7(s165)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8951, 36794])).
% 5.71/5.20 tff(36796,plain,
% 5.71/5.20 (~xuntil2p8(s164)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8956, 36795])).
% 5.71/5.20 tff(36797,plain,
% 5.71/5.20 (~until2p7(s164)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8990, 36796])).
% 5.71/5.20 tff(36798,plain,
% 5.71/5.20 (~xuntil2p8(s163)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8995, 36797])).
% 5.71/5.20 tff(36799,plain,
% 5.71/5.20 (~m_main_v_state(s164, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[8980, 145, 36670])).
% 5.71/5.20 tff(36800,plain,
% 5.71/5.20 (~m_main_v_state(s163, c_busy)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[4567, 145, 36669])).
% 5.71/5.20 tff(36801,plain,
% 5.71/5.20 (m_main_v_state(s163, c_ready)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22391, 188, 36800])).
% 5.71/5.20 tff(36802,plain,
% 5.71/5.20 (~m_main_v_request(s163)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22386, 36801, 36799])).
% 5.71/5.20 tff(36803,plain,
% 5.71/5.20 (~node4(s163)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[22377, 63, 36802])).
% 5.71/5.20 tff(36804,plain,
% 5.71/5.20 (xuntil2p8(s163) | (~until2p7(s163))),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[9004, 8293, 36803])).
% 5.71/5.20 tff(36805,plain,
% 5.71/5.20 (~until2p7(s163)),
% 5.71/5.20 inference(unit_resolution,[status(thm)],[36804, 36798])).
% 5.71/5.20 tff(36806,plain,
% 5.71/5.20 (~xuntil2p8(s162)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9010, 36805])).
% 5.71/5.21 tff(36807,plain,
% 5.71/5.21 (~until2p7(s162)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9015, 36806])).
% 5.71/5.21 tff(36808,plain,
% 5.71/5.21 (~xuntil2p8(s161)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9020, 36807])).
% 5.71/5.21 tff(36809,plain,
% 5.71/5.21 (~m_main_v_state(s161, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9047, 145, 36667])).
% 5.71/5.21 tff(36810,plain,
% 5.71/5.21 (m_main_v_state(s161, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31148, 36809])).
% 5.71/5.21 tff(36811,plain,
% 5.71/5.21 (~m_main_v_state(s162, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[4583, 145, 36668])).
% 5.71/5.21 tff(36812,plain,
% 5.71/5.21 (~m_main_v_request(s161)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21457, 36811, 36810])).
% 5.71/5.21 tff(36813,plain,
% 5.71/5.21 (~node4(s161)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21461, 63, 36812])).
% 5.71/5.21 tff(36814,plain,
% 5.71/5.21 (xuntil2p8(s161) | (~until2p7(s161))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9027, 8293, 36813])).
% 5.71/5.21 tff(36815,plain,
% 5.71/5.21 (~until2p7(s161)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36814, 36808])).
% 5.71/5.21 tff(36816,plain,
% 5.71/5.21 (~xuntil2p8(s160)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9033, 36815])).
% 5.71/5.21 tff(36817,plain,
% 5.71/5.21 (~until2p7(s160)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9073, 36816])).
% 5.71/5.21 tff(36818,plain,
% 5.71/5.21 (~xuntil2p8(s159)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9078, 36817])).
% 5.71/5.21 tff(36819,plain,
% 5.71/5.21 (~m_main_v_state(s160, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9063, 145, 36666])).
% 5.71/5.21 tff(36820,plain,
% 5.71/5.21 (~m_main_v_state(s158, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21560, 145, 36664])).
% 5.71/5.21 tff(36821,plain,
% 5.71/5.21 (m_main_v_state(s158, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21583, 36820])).
% 5.71/5.21 tff(36822,plain,
% 5.71/5.21 (~m_main_v_state(s159, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21547, 145, 36665])).
% 5.71/5.21 tff(36823,plain,
% 5.71/5.21 (m_main_v_state(s159, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21609, 36822, 36821])).
% 5.71/5.21 tff(36824,plain,
% 5.71/5.21 (~m_main_v_request(s159)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21540, 36823, 36819])).
% 5.71/5.21 tff(36825,plain,
% 5.71/5.21 (~node4(s159)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21510, 63, 36824])).
% 5.71/5.21 tff(36826,plain,
% 5.71/5.21 (xuntil2p8(s159) | (~until2p7(s159))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9085, 8293, 36825])).
% 5.71/5.21 tff(36827,plain,
% 5.71/5.21 (~until2p7(s159)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36826, 36818])).
% 5.71/5.21 tff(36828,plain,
% 5.71/5.21 (~xuntil2p8(s158)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9091, 36827])).
% 5.71/5.21 tff(36829,plain,
% 5.71/5.21 (~node4(s158)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21625, 36822])).
% 5.71/5.21 tff(36830,plain,
% 5.71/5.21 (xuntil2p8(s158) | (~until2p7(s158))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9097, 8293, 36829])).
% 5.71/5.21 tff(36831,plain,
% 5.71/5.21 (~until2p7(s158)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36830, 36828])).
% 5.71/5.21 tff(36832,plain,
% 5.71/5.21 (~xuntil2p8(s157)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9103, 36831])).
% 5.71/5.21 tff(36833,plain,
% 5.71/5.21 (~m_main_v_state(s157, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21636, 145, 36663])).
% 5.71/5.21 tff(36834,plain,
% 5.71/5.21 (m_main_v_state(s157, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21640, 188, 36833])).
% 5.71/5.21 tff(36835,plain,
% 5.71/5.21 (~m_main_v_request(s157)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21649, 36834, 36820])).
% 5.71/5.21 tff(36836,plain,
% 5.71/5.21 (~node4(s157)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21653, 63, 36835])).
% 5.71/5.21 tff(36837,plain,
% 5.71/5.21 (xuntil2p8(s157) | (~until2p7(s157))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9109, 8293, 36836])).
% 5.71/5.21 tff(36838,plain,
% 5.71/5.21 (~until2p7(s157)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36837, 36832])).
% 5.71/5.21 tff(36839,plain,
% 5.71/5.21 (~xuntil2p8(s156)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9115, 36838])).
% 5.71/5.21 tff(36840,plain,
% 5.71/5.21 (~m_main_v_state(s156, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21663, 145, 36662])).
% 5.71/5.21 tff(36841,plain,
% 5.71/5.21 (m_main_v_state(s156, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21667, 188, 36840])).
% 5.71/5.21 tff(36842,plain,
% 5.71/5.21 (~m_main_v_request(s156)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21751, 36841, 36833])).
% 5.71/5.21 tff(36843,plain,
% 5.71/5.21 (~node4(s156)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21742, 63, 36842])).
% 5.71/5.21 tff(36844,plain,
% 5.71/5.21 (xuntil2p8(s156) | (~until2p7(s156))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9121, 8293, 36843])).
% 5.71/5.21 tff(36845,plain,
% 5.71/5.21 (~until2p7(s156)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36844, 36839])).
% 5.71/5.21 tff(36846,plain,
% 5.71/5.21 (~xuntil2p8(s155)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9127, 36845])).
% 5.71/5.21 tff(36847,plain,
% 5.71/5.21 (~m_main_v_state(s155, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21693, 145, 36661])).
% 5.71/5.21 tff(36848,plain,
% 5.71/5.21 (m_main_v_state(s155, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31210, 36847])).
% 5.71/5.21 tff(36849,plain,
% 5.71/5.21 (~m_main_v_request(s155)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21707, 36840, 36848])).
% 5.71/5.21 tff(36850,plain,
% 5.71/5.21 (~node4(s155)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21711, 63, 36849])).
% 5.71/5.21 tff(36851,plain,
% 5.71/5.21 (xuntil2p8(s155) | (~until2p7(s155))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9133, 8293, 36850])).
% 5.71/5.21 tff(36852,plain,
% 5.71/5.21 (~until2p7(s155)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36851, 36846])).
% 5.71/5.21 tff(36853,plain,
% 5.71/5.21 (~xuntil2p8(s154)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9139, 36852])).
% 5.71/5.21 tff(36854,plain,
% 5.71/5.21 (~m_main_v_state(s154, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9165, 145, 36660])).
% 5.71/5.21 tff(36855,plain,
% 5.71/5.21 (m_main_v_state(s154, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31240, 36854])).
% 5.71/5.21 tff(36856,plain,
% 5.71/5.21 (~m_main_v_request(s154)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21727, 36855, 36847])).
% 5.71/5.21 tff(36857,plain,
% 5.71/5.21 (~node4(s154)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21718, 63, 36856])).
% 5.71/5.21 tff(36858,plain,
% 5.71/5.21 (xuntil2p8(s154) | (~until2p7(s154))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9145, 8293, 36857])).
% 5.71/5.21 tff(36859,plain,
% 5.71/5.21 (~until2p7(s154)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36858, 36853])).
% 5.71/5.21 tff(36860,plain,
% 5.71/5.21 (~xuntil2p8(s153)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9151, 36859])).
% 5.71/5.21 tff(36861,plain,
% 5.71/5.21 (~until2p7(s153)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9191, 36860])).
% 5.71/5.21 tff(36862,plain,
% 5.71/5.21 (~xuntil2p8(s152)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9196, 36861])).
% 5.71/5.21 tff(36863,plain,
% 5.71/5.21 (~until2p7(s152)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9230, 36862])).
% 5.71/5.21 tff(36864,plain,
% 5.71/5.21 (~xuntil2p8(s151)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9235, 36863])).
% 5.71/5.21 tff(36865,plain,
% 5.71/5.21 (~m_main_v_state(s152, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9220, 145, 36658])).
% 5.71/5.21 tff(36866,plain,
% 5.71/5.21 (~m_main_v_state(s151, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21839, 145, 36657])).
% 5.71/5.21 tff(36867,plain,
% 5.71/5.21 (m_main_v_state(s151, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[24065, 36866])).
% 5.71/5.21 tff(36868,plain,
% 5.71/5.21 (~m_main_v_request(s151)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21852, 36867, 36865])).
% 5.71/5.21 tff(36869,plain,
% 5.71/5.21 (~node4(s151)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21856, 63, 36868])).
% 5.71/5.21 tff(36870,plain,
% 5.71/5.21 (xuntil2p8(s151) | (~until2p7(s151))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9243, 8293, 36869])).
% 5.71/5.21 tff(36871,plain,
% 5.71/5.21 (~until2p7(s151)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36870, 36864])).
% 5.71/5.21 tff(36872,plain,
% 5.71/5.21 (~xuntil2p8(s150)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9249, 36871])).
% 5.71/5.21 tff(36873,plain,
% 5.71/5.21 (~m_main_v_state(s150, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21867, 145, 36656])).
% 5.71/5.21 tff(36874,plain,
% 5.71/5.21 (m_main_v_state(s150, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31263, 36873])).
% 5.71/5.21 tff(36875,plain,
% 5.71/5.21 (~m_main_v_request(s150)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21886, 36874, 36866])).
% 5.71/5.21 tff(36876,plain,
% 5.71/5.21 (~node4(s150)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21877, 63, 36875])).
% 5.71/5.21 tff(36877,plain,
% 5.71/5.21 (xuntil2p8(s150) | (~until2p7(s150))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9255, 8293, 36876])).
% 5.71/5.21 tff(36878,plain,
% 5.71/5.21 (~until2p7(s150)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36877, 36872])).
% 5.71/5.21 tff(36879,plain,
% 5.71/5.21 (~xuntil2p8(s149)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9261, 36878])).
% 5.71/5.21 tff(36880,plain,
% 5.71/5.21 (~m_main_v_state(s149, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9287, 145, 36655])).
% 5.71/5.21 tff(36881,plain,
% 5.71/5.21 (m_main_v_state(s149, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[24102, 36880])).
% 5.71/5.21 tff(36882,plain,
% 5.71/5.21 (~m_main_v_request(s149)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21912, 36881, 36873])).
% 5.71/5.21 tff(36883,plain,
% 5.71/5.21 (~node4(s149)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21903, 63, 36882])).
% 5.71/5.21 tff(36884,plain,
% 5.71/5.21 (xuntil2p8(s149) | (~until2p7(s149))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9267, 8293, 36883])).
% 5.71/5.21 tff(36885,plain,
% 5.71/5.21 (~until2p7(s149)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36884, 36879])).
% 5.71/5.21 tff(36886,plain,
% 5.71/5.21 (~xuntil2p8(s148)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9273, 36885])).
% 5.71/5.21 tff(36887,plain,
% 5.71/5.21 (~until2p7(s148)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9313, 36886])).
% 5.71/5.21 tff(36888,plain,
% 5.71/5.21 (~xuntil2p8(s147)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9318, 36887])).
% 5.71/5.21 tff(36889,plain,
% 5.71/5.21 (~until2p7(s147)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[23778, 36888])).
% 5.71/5.21 tff(36890,plain,
% 5.71/5.21 (~xuntil2p8(s146)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9331, 36889])).
% 5.71/5.21 tff(36891,plain,
% 5.71/5.21 (~until2p7(s146)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9336, 36890])).
% 5.71/5.21 tff(36892,plain,
% 5.71/5.21 (~xuntil2p8(s145)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9341, 36891])).
% 5.71/5.21 tff(36893,plain,
% 5.71/5.21 (~until2p7(s145)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[23773, 36892])).
% 5.71/5.21 tff(36894,plain,
% 5.71/5.21 (~xuntil2p8(s144)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9354, 36893])).
% 5.71/5.21 tff(36895,plain,
% 5.71/5.21 (~m_main_v_state(s145, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20984, 145, 36651])).
% 5.71/5.21 tff(36896,plain,
% 5.71/5.21 (~m_main_v_state(s144, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20976, 145, 36650])).
% 5.71/5.21 tff(36897,plain,
% 5.71/5.21 (m_main_v_state(s144, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[23737, 36896])).
% 5.71/5.21 tff(36898,plain,
% 5.71/5.21 (~m_main_v_request(s144)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20997, 36897, 36895])).
% 5.71/5.21 tff(36899,plain,
% 5.71/5.21 (~node4(s144)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21001, 63, 36898])).
% 5.71/5.21 tff(36900,plain,
% 5.71/5.21 (xuntil2p8(s144) | (~until2p7(s144))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9360, 8293, 36899])).
% 5.71/5.21 tff(36901,plain,
% 5.71/5.21 (~until2p7(s144)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36900, 36894])).
% 5.71/5.21 tff(36902,plain,
% 5.71/5.21 (~xuntil2p8(s143)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9366, 36901])).
% 5.71/5.21 tff(36903,plain,
% 5.71/5.21 (~m_main_v_state(s143, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20908, 145, 36649])).
% 5.71/5.21 tff(36904,plain,
% 5.71/5.21 (~node1(s142)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[23717, 36903])).
% 5.71/5.21 tff(36905,plain,
% 5.71/5.21 (m_main_v_state(s143, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[23725, 36903, 36904])).
% 5.71/5.21 tff(36906,plain,
% 5.71/5.21 (~m_main_v_request(s143)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21017, 36905, 36896])).
% 5.71/5.21 tff(36907,plain,
% 5.71/5.21 (~node4(s143)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[21008, 63, 36906])).
% 5.71/5.21 tff(36908,plain,
% 5.71/5.21 (xuntil2p8(s143) | (~until2p7(s143))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9372, 8293, 36907])).
% 5.71/5.21 tff(36909,plain,
% 5.71/5.21 (~until2p7(s143)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36908, 36902])).
% 5.71/5.21 tff(36910,plain,
% 5.71/5.21 (~xuntil2p8(s142)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9378, 36909])).
% 5.71/5.21 tff(36911,plain,
% 5.71/5.21 (~m_main_v_state(s142, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20931, 145, 36648])).
% 5.71/5.21 tff(36912,plain,
% 5.71/5.21 (m_main_v_state(s142, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20935, 188, 36911])).
% 5.71/5.21 tff(36913,plain,
% 5.71/5.21 (~m_main_v_request(s142)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20924, 36912, 36903])).
% 5.71/5.21 tff(36914,plain,
% 5.71/5.21 (~node4(s142)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20915, 63, 36913])).
% 5.71/5.21 tff(36915,plain,
% 5.71/5.21 (xuntil2p8(s142) | (~until2p7(s142))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9384, 8293, 36914])).
% 5.71/5.21 tff(36916,plain,
% 5.71/5.21 (~until2p7(s142)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36915, 36910])).
% 5.71/5.21 tff(36917,plain,
% 5.71/5.21 (~xuntil2p8(s141)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9390, 36916])).
% 5.71/5.21 tff(36918,plain,
% 5.71/5.21 (~node4(s141)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20964, 36911])).
% 5.71/5.21 tff(36919,plain,
% 5.71/5.21 (xuntil2p8(s141) | (~until2p7(s141))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9396, 8293, 36918])).
% 5.71/5.21 tff(36920,plain,
% 5.71/5.21 (~until2p7(s141)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36919, 36917])).
% 5.71/5.21 tff(36921,plain,
% 5.71/5.21 (~xuntil2p8(s140)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9402, 36920])).
% 5.71/5.21 tff(36922,plain,
% 5.71/5.21 (~m_main_v_state(s141, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20511, 145, 36647])).
% 5.71/5.21 tff(36923,plain,
% 5.71/5.21 (~m_main_v_state(s140, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20534, 145, 36646])).
% 5.71/5.21 tff(36924,plain,
% 5.71/5.21 (m_main_v_state(s140, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[23681, 36923])).
% 5.71/5.21 tff(36925,plain,
% 5.71/5.21 (~m_main_v_request(s140)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20527, 36924, 36922])).
% 5.71/5.21 tff(36926,plain,
% 5.71/5.21 (~node4(s140)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20518, 63, 36925])).
% 5.71/5.21 tff(36927,plain,
% 5.71/5.21 (xuntil2p8(s140) | (~until2p7(s140))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9408, 8293, 36926])).
% 5.71/5.21 tff(36928,plain,
% 5.71/5.21 (~until2p7(s140)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36927, 36921])).
% 5.71/5.21 tff(36929,plain,
% 5.71/5.21 (~xuntil2p8(s139)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9414, 36928])).
% 5.71/5.21 tff(36930,plain,
% 5.71/5.21 (~m_main_v_state(s139, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20560, 145, 36645])).
% 5.71/5.21 tff(36931,plain,
% 5.71/5.21 (m_main_v_state(s139, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20565, 188, 36930])).
% 5.71/5.21 tff(36932,plain,
% 5.71/5.21 (~m_main_v_request(s139)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20574, 36931, 36923])).
% 5.71/5.21 tff(36933,plain,
% 5.71/5.21 (~node4(s139)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20578, 63, 36932])).
% 5.71/5.21 tff(36934,plain,
% 5.71/5.21 (xuntil2p8(s139) | (~until2p7(s139))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9420, 8293, 36933])).
% 5.71/5.21 tff(36935,plain,
% 5.71/5.21 (~until2p7(s139)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36934, 36929])).
% 5.71/5.21 tff(36936,plain,
% 5.71/5.21 (~xuntil2p8(s138)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9426, 36935])).
% 5.71/5.21 tff(36937,plain,
% 5.71/5.21 (~m_main_v_state(s138, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20127, 145, 36644])).
% 5.71/5.21 tff(36938,plain,
% 5.71/5.21 (~node1(s137)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31340, 36937])).
% 5.71/5.21 tff(36939,plain,
% 5.71/5.21 (m_main_v_state(s138, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31348, 36938, 36937])).
% 5.71/5.21 tff(36940,plain,
% 5.71/5.21 (~m_main_v_request(s138)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20594, 36939, 36930])).
% 5.71/5.21 tff(36941,plain,
% 5.71/5.21 (~node4(s138)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20585, 63, 36940])).
% 5.71/5.21 tff(36942,plain,
% 5.71/5.21 (xuntil2p8(s138) | (~until2p7(s138))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9432, 8293, 36941])).
% 5.71/5.21 tff(36943,plain,
% 5.71/5.21 (~until2p7(s138)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36942, 36936])).
% 5.71/5.21 tff(36944,plain,
% 5.71/5.21 (~xuntil2p8(s137)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9438, 36943])).
% 5.71/5.21 tff(36945,plain,
% 5.71/5.21 (~m_main_v_state(s137, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20134, 145, 36643])).
% 5.71/5.21 tff(36946,plain,
% 5.71/5.21 (m_main_v_state(s137, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20138, 188, 36945])).
% 5.71/5.21 tff(36947,plain,
% 5.71/5.21 (~m_main_v_request(s137)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20215, 36946, 36937])).
% 5.71/5.21 tff(36948,plain,
% 5.71/5.21 (~node4(s137)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20206, 63, 36947])).
% 5.71/5.21 tff(36949,plain,
% 5.71/5.21 (xuntil2p8(s137) | (~until2p7(s137))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9444, 8293, 36948])).
% 5.71/5.21 tff(36950,plain,
% 5.71/5.21 (~until2p7(s137)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36949, 36944])).
% 5.71/5.21 tff(36951,plain,
% 5.71/5.21 (~xuntil2p8(s136)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9450, 36950])).
% 5.71/5.21 tff(36952,plain,
% 5.71/5.21 (~m_main_v_state(s136, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20158, 145, 36642])).
% 5.71/5.21 tff(36953,plain,
% 5.71/5.21 (m_main_v_state(s136, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31382, 36952])).
% 5.71/5.21 tff(36954,plain,
% 5.71/5.21 (~m_main_v_request(s136)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20172, 36945, 36953])).
% 5.71/5.21 tff(36955,plain,
% 5.71/5.21 (~node4(s136)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20176, 63, 36954])).
% 5.71/5.21 tff(36956,plain,
% 5.71/5.21 (xuntil2p8(s136) | (~until2p7(s136))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9456, 8293, 36955])).
% 5.71/5.21 tff(36957,plain,
% 5.71/5.21 (~until2p7(s136)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36956, 36951])).
% 5.71/5.21 tff(36958,plain,
% 5.71/5.21 (~xuntil2p8(s135)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9462, 36957])).
% 5.71/5.21 tff(36959,plain,
% 5.71/5.21 (~m_main_v_state(s135, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19541, 145, 36641])).
% 5.71/5.21 tff(36960,plain,
% 5.71/5.21 (m_main_v_state(s135, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31409, 36959])).
% 5.71/5.21 tff(36961,plain,
% 5.71/5.21 (~m_main_v_request(s135)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20192, 36960, 36952])).
% 5.71/5.21 tff(36962,plain,
% 5.71/5.21 (~node4(s135)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[20183, 63, 36961])).
% 5.71/5.21 tff(36963,plain,
% 5.71/5.21 (xuntil2p8(s135) | (~until2p7(s135))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9468, 8293, 36962])).
% 5.71/5.21 tff(36964,plain,
% 5.71/5.21 (~until2p7(s135)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36963, 36958])).
% 5.71/5.21 tff(36965,plain,
% 5.71/5.21 (~xuntil2p8(s134)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9474, 36964])).
% 5.71/5.21 tff(36966,plain,
% 5.71/5.21 (~m_main_v_state(s134, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19548, 145, 36640])).
% 5.71/5.21 tff(36967,plain,
% 5.71/5.21 (m_main_v_state(s134, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31436, 36966])).
% 5.71/5.21 tff(36968,plain,
% 5.71/5.21 (~m_main_v_request(s134)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19561, 36967, 36959])).
% 5.71/5.21 tff(36969,plain,
% 5.71/5.21 (~node4(s134)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19565, 63, 36968])).
% 5.71/5.21 tff(36970,plain,
% 5.71/5.21 (xuntil2p8(s134) | (~until2p7(s134))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9480, 8293, 36969])).
% 5.71/5.21 tff(36971,plain,
% 5.71/5.21 (~until2p7(s134)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36970, 36965])).
% 5.71/5.21 tff(36972,plain,
% 5.71/5.21 (~xuntil2p8(s133)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9486, 36971])).
% 5.71/5.21 tff(36973,plain,
% 5.71/5.21 (~m_main_v_state(s133, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18860, 145, 36639])).
% 5.71/5.21 tff(36974,plain,
% 5.71/5.21 (~m_main_v_state(s132, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18867, 145, 36638])).
% 5.71/5.21 tff(36975,plain,
% 5.71/5.21 (~node1(s131)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[23608, 36974])).
% 5.71/5.21 tff(36976,plain,
% 5.71/5.21 (m_main_v_state(s132, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[23616, 36975, 36974])).
% 5.71/5.21 tff(36977,plain,
% 5.71/5.21 (m_main_v_state(s133, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31463, 36976, 36973])).
% 5.71/5.21 tff(36978,plain,
% 5.71/5.21 (~m_main_v_request(s133)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19831, 36977, 36966])).
% 5.71/5.21 tff(36979,plain,
% 5.71/5.21 (~node4(s133)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19835, 63, 36978])).
% 5.71/5.21 tff(36980,plain,
% 5.71/5.21 (xuntil2p8(s133) | (~until2p7(s133))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9492, 8293, 36979])).
% 5.71/5.21 tff(36981,plain,
% 5.71/5.21 (~until2p7(s133)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36980, 36972])).
% 5.71/5.21 tff(36982,plain,
% 5.71/5.21 (~xuntil2p8(s132)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9498, 36981])).
% 5.71/5.21 tff(36983,plain,
% 5.71/5.21 (~m_main_v_request(s132)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19276, 36976, 36973])).
% 5.71/5.21 tff(36984,plain,
% 5.71/5.21 (~node4(s132)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19267, 63, 36983])).
% 5.71/5.21 tff(36985,plain,
% 5.71/5.21 (xuntil2p8(s132) | (~until2p7(s132))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9504, 8293, 36984])).
% 5.71/5.21 tff(36986,plain,
% 5.71/5.21 (~until2p7(s132)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36985, 36982])).
% 5.71/5.21 tff(36987,plain,
% 5.71/5.21 (~xuntil2p8(s131)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9510, 36986])).
% 5.71/5.21 tff(36988,plain,
% 5.71/5.21 (~m_main_v_state(s131, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18925, 145, 36637])).
% 5.71/5.21 tff(36989,plain,
% 5.71/5.21 (m_main_v_state(s131, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18959, 188, 36988])).
% 5.71/5.21 tff(36990,plain,
% 5.71/5.21 (~m_main_v_request(s131)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18968, 36989, 36974])).
% 5.71/5.21 tff(36991,plain,
% 5.71/5.21 (~node4(s131)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18972, 63, 36990])).
% 5.71/5.21 tff(36992,plain,
% 5.71/5.21 (xuntil2p8(s131) | (~until2p7(s131))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9516, 8293, 36991])).
% 5.71/5.21 tff(36993,plain,
% 5.71/5.21 (~until2p7(s131)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36992, 36987])).
% 5.71/5.21 tff(36994,plain,
% 5.71/5.21 (~xuntil2p8(s130)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9522, 36993])).
% 5.71/5.21 tff(36995,plain,
% 5.71/5.21 (~node4(s130)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18954, 36988])).
% 5.71/5.21 tff(36996,plain,
% 5.71/5.21 (xuntil2p8(s130) | (~until2p7(s130))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9528, 8293, 36995])).
% 5.71/5.21 tff(36997,plain,
% 5.71/5.21 (~until2p7(s130)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[36996, 36994])).
% 5.71/5.21 tff(36998,plain,
% 5.71/5.21 (~xuntil2p8(s129)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9534, 36997])).
% 5.71/5.21 tff(36999,plain,
% 5.71/5.21 (~m_main_v_state(s130, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18948, 145, 36636])).
% 5.71/5.21 tff(37000,plain,
% 5.71/5.21 (~m_main_v_state(s129, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19018, 145, 36635])).
% 5.71/5.21 tff(37001,plain,
% 5.71/5.21 (m_main_v_state(s129, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19053, 188, 37000])).
% 5.71/5.21 tff(37002,plain,
% 5.71/5.21 (~m_main_v_request(s129)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19062, 37001, 36999])).
% 5.71/5.21 tff(37003,plain,
% 5.71/5.21 (~node4(s129)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19066, 63, 37002])).
% 5.71/5.21 tff(37004,plain,
% 5.71/5.21 (xuntil2p8(s129) | (~until2p7(s129))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9540, 8293, 37003])).
% 5.71/5.21 tff(37005,plain,
% 5.71/5.21 (~until2p7(s129)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37004, 36998])).
% 5.71/5.21 tff(37006,plain,
% 5.71/5.21 (~xuntil2p8(s128)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9546, 37005])).
% 5.71/5.21 tff(37007,plain,
% 5.71/5.21 (~node4(s128)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19047, 37000])).
% 5.71/5.21 tff(37008,plain,
% 5.71/5.21 (xuntil2p8(s128) | (~until2p7(s128))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9552, 8293, 37007])).
% 5.71/5.21 tff(37009,plain,
% 5.71/5.21 (~until2p7(s128)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37008, 37006])).
% 5.71/5.21 tff(37010,plain,
% 5.71/5.21 (~xuntil2p8(s127)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9558, 37009])).
% 5.71/5.21 tff(37011,plain,
% 5.71/5.21 (~m_main_v_state(s128, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19041, 145, 36634])).
% 5.71/5.21 tff(37012,plain,
% 5.71/5.21 (~m_main_v_state(s127, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19103, 145, 36633])).
% 5.71/5.21 tff(37013,plain,
% 5.71/5.21 (m_main_v_state(s127, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19138, 188, 37012])).
% 5.71/5.21 tff(37014,plain,
% 5.71/5.21 (~m_main_v_request(s127)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19147, 37013, 37011])).
% 5.71/5.21 tff(37015,plain,
% 5.71/5.21 (~node4(s127)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19151, 63, 37014])).
% 5.71/5.21 tff(37016,plain,
% 5.71/5.21 (xuntil2p8(s127) | (~until2p7(s127))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9564, 8293, 37015])).
% 5.71/5.21 tff(37017,plain,
% 5.71/5.21 (~until2p7(s127)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37016, 37010])).
% 5.71/5.21 tff(37018,plain,
% 5.71/5.21 (~xuntil2p8(s126)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9570, 37017])).
% 5.71/5.21 tff(37019,plain,
% 5.71/5.21 (~node4(s126)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19132, 37012])).
% 5.71/5.21 tff(37020,plain,
% 5.71/5.21 (xuntil2p8(s126) | (~until2p7(s126))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9576, 8293, 37019])).
% 5.71/5.21 tff(37021,plain,
% 5.71/5.21 (~until2p7(s126)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37020, 37018])).
% 5.71/5.21 tff(37022,plain,
% 5.71/5.21 (~xuntil2p8(s125)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9582, 37021])).
% 5.71/5.21 tff(37023,plain,
% 5.71/5.21 (~m_main_v_state(s125, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19181, 145, 36631])).
% 5.71/5.21 tff(37024,plain,
% 5.71/5.21 (m_main_v_state(s125, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31581, 37023])).
% 5.71/5.21 tff(37025,plain,
% 5.71/5.21 (~m_main_v_state(s126, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19126, 145, 36632])).
% 5.71/5.21 tff(37026,plain,
% 5.71/5.21 (~m_main_v_request(s125)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19194, 37025, 37024])).
% 5.71/5.21 tff(37027,plain,
% 5.71/5.21 (~node4(s125)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19198, 63, 37026])).
% 5.71/5.21 tff(37028,plain,
% 5.71/5.21 (xuntil2p8(s125) | (~until2p7(s125))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9588, 8293, 37027])).
% 5.71/5.21 tff(37029,plain,
% 5.71/5.21 (~until2p7(s125)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37028, 37022])).
% 5.71/5.21 tff(37030,plain,
% 5.71/5.21 (~xuntil2p8(s124)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9594, 37029])).
% 5.71/5.21 tff(37031,plain,
% 5.71/5.21 (~m_main_v_state(s124, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19219, 145, 36630])).
% 5.71/5.21 tff(37032,plain,
% 5.71/5.21 (m_main_v_state(s124, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31608, 37031])).
% 5.71/5.21 tff(37033,plain,
% 5.71/5.21 (~m_main_v_request(s124)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19232, 37032, 37023])).
% 5.71/5.21 tff(37034,plain,
% 5.71/5.21 (~node4(s124)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19236, 63, 37033])).
% 5.71/5.21 tff(37035,plain,
% 5.71/5.21 (xuntil2p8(s124) | (~until2p7(s124))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9600, 8293, 37034])).
% 5.71/5.21 tff(37036,plain,
% 5.71/5.21 (~until2p7(s124)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37035, 37030])).
% 5.71/5.21 tff(37037,plain,
% 5.71/5.21 (~xuntil2p8(s123)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9606, 37036])).
% 5.71/5.21 tff(37038,plain,
% 5.71/5.21 (~m_main_v_state(s123, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18651, 145, 36629])).
% 5.71/5.21 tff(37039,plain,
% 5.71/5.21 (m_main_v_state(s123, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31635, 37038])).
% 5.71/5.21 tff(37040,plain,
% 5.71/5.21 (~m_main_v_request(s123)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19253, 37039, 37031])).
% 5.71/5.21 tff(37041,plain,
% 5.71/5.21 (~node4(s123)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[19244, 63, 37040])).
% 5.71/5.21 tff(37042,plain,
% 5.71/5.21 (xuntil2p8(s123) | (~until2p7(s123))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9612, 8293, 37041])).
% 5.71/5.21 tff(37043,plain,
% 5.71/5.21 (~until2p7(s123)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37042, 37037])).
% 5.71/5.21 tff(37044,plain,
% 5.71/5.21 (~xuntil2p8(s122)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9618, 37043])).
% 5.71/5.21 tff(37045,plain,
% 5.71/5.21 (~m_main_v_state(s122, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18658, 145, 36628])).
% 5.71/5.21 tff(37046,plain,
% 5.71/5.21 (m_main_v_state(s122, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31661, 37045])).
% 5.71/5.21 tff(37047,plain,
% 5.71/5.21 (~m_main_v_request(s122)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18739, 37046, 37038])).
% 5.71/5.21 tff(37048,plain,
% 5.71/5.21 (~node4(s122)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18730, 63, 37047])).
% 5.71/5.21 tff(37049,plain,
% 5.71/5.21 (xuntil2p8(s122) | (~until2p7(s122))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9624, 8293, 37048])).
% 5.71/5.21 tff(37050,plain,
% 5.71/5.21 (~until2p7(s122)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37049, 37044])).
% 5.71/5.21 tff(37051,plain,
% 5.71/5.21 (~xuntil2p8(s121)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9630, 37050])).
% 5.71/5.21 tff(37052,plain,
% 5.71/5.21 (~m_main_v_state(s121, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18682, 145, 36627])).
% 5.71/5.21 tff(37053,plain,
% 5.71/5.21 (m_main_v_state(s121, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31688, 37052])).
% 5.71/5.21 tff(37054,plain,
% 5.71/5.21 (~m_main_v_request(s121)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18696, 37053, 37045])).
% 5.71/5.21 tff(37055,plain,
% 5.71/5.21 (~node4(s121)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18700, 63, 37054])).
% 5.71/5.21 tff(37056,plain,
% 5.71/5.21 (xuntil2p8(s121) | (~until2p7(s121))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9636, 8293, 37055])).
% 5.71/5.21 tff(37057,plain,
% 5.71/5.21 (~until2p7(s121)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37056, 37051])).
% 5.71/5.21 tff(37058,plain,
% 5.71/5.21 (~xuntil2p8(s120)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9642, 37057])).
% 5.71/5.21 tff(37059,plain,
% 5.71/5.21 (~m_main_v_state(s120, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18560, 145, 36626])).
% 5.71/5.21 tff(37060,plain,
% 5.71/5.21 (m_main_v_state(s120, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31715, 37059])).
% 5.71/5.21 tff(37061,plain,
% 5.71/5.21 (~m_main_v_request(s120)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18716, 37060, 37052])).
% 5.71/5.21 tff(37062,plain,
% 5.71/5.21 (~node4(s120)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18707, 63, 37061])).
% 5.71/5.21 tff(37063,plain,
% 5.71/5.21 (xuntil2p8(s120) | (~until2p7(s120))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9648, 8293, 37062])).
% 5.71/5.21 tff(37064,plain,
% 5.71/5.21 (~until2p7(s120)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37063, 37058])).
% 5.71/5.21 tff(37065,plain,
% 5.71/5.21 (~xuntil2p8(s119)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9654, 37064])).
% 5.71/5.21 tff(37066,plain,
% 5.71/5.21 (~m_main_v_state(s119, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18481, 145, 36625])).
% 5.71/5.21 tff(37067,plain,
% 5.71/5.21 (m_main_v_state(s119, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31741, 37066])).
% 5.71/5.21 tff(37068,plain,
% 5.71/5.21 (~m_main_v_request(s119)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18576, 37067, 37059])).
% 5.71/5.21 tff(37069,plain,
% 5.71/5.21 (~node4(s119)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18567, 63, 37068])).
% 5.71/5.21 tff(37070,plain,
% 5.71/5.21 (xuntil2p8(s119) | (~until2p7(s119))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9660, 8293, 37069])).
% 5.71/5.21 tff(37071,plain,
% 5.71/5.21 (~until2p7(s119)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37070, 37065])).
% 5.71/5.21 tff(37072,plain,
% 5.71/5.21 (~xuntil2p8(s118)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9666, 37071])).
% 5.71/5.21 tff(37073,plain,
% 5.71/5.21 (~node4(s118)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18504, 37066])).
% 5.71/5.21 tff(37074,plain,
% 5.71/5.21 (xuntil2p8(s118) | (~until2p7(s118))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9672, 8293, 37073])).
% 5.71/5.21 tff(37075,plain,
% 5.71/5.21 (~until2p7(s118)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37074, 37072])).
% 5.71/5.21 tff(37076,plain,
% 5.71/5.21 (~xuntil2p8(s117)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9678, 37075])).
% 5.71/5.21 tff(37077,plain,
% 5.71/5.21 (~m_main_v_state(s118, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18383, 145, 36624])).
% 5.71/5.21 tff(37078,plain,
% 5.71/5.21 (~m_main_v_state(s117, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18375, 145, 36623])).
% 5.71/5.21 tff(37079,plain,
% 5.71/5.21 (m_main_v_state(s117, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31773, 37078])).
% 5.71/5.21 tff(37080,plain,
% 5.71/5.21 (~m_main_v_request(s117)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18396, 37079, 37077])).
% 5.71/5.21 tff(37081,plain,
% 5.71/5.21 (~node4(s117)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18400, 63, 37080])).
% 5.71/5.21 tff(37082,plain,
% 5.71/5.21 (xuntil2p8(s117) | (~until2p7(s117))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9684, 8293, 37081])).
% 5.71/5.21 tff(37083,plain,
% 5.71/5.21 (~until2p7(s117)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37082, 37076])).
% 5.71/5.21 tff(37084,plain,
% 5.71/5.21 (~xuntil2p8(s116)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9690, 37083])).
% 5.71/5.21 tff(37085,plain,
% 5.71/5.21 (~m_main_v_state(s116, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18331, 145, 36622])).
% 5.71/5.21 tff(37086,plain,
% 5.71/5.21 (m_main_v_state(s116, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[31799, 37085])).
% 5.71/5.21 tff(37087,plain,
% 5.71/5.21 (~m_main_v_request(s116)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18418, 37086, 37078])).
% 5.71/5.21 tff(37088,plain,
% 5.71/5.21 (~node4(s116)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18409, 63, 37087])).
% 5.71/5.21 tff(37089,plain,
% 5.71/5.21 (xuntil2p8(s116) | (~until2p7(s116))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9696, 8293, 37088])).
% 5.71/5.21 tff(37090,plain,
% 5.71/5.21 (~until2p7(s116)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37089, 37084])).
% 5.71/5.21 tff(37091,plain,
% 5.71/5.21 (~xuntil2p8(s115)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9702, 37090])).
% 5.71/5.21 tff(37092,plain,
% 5.71/5.21 (m_main_v_state(s115, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18285, 188, 36617])).
% 5.71/5.21 tff(37093,plain,
% 5.71/5.21 (~m_main_v_request(s115)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18294, 37092, 37085])).
% 5.71/5.21 tff(37094,plain,
% 5.71/5.21 (~node4(s115)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18298, 63, 37093])).
% 5.71/5.21 tff(37095,plain,
% 5.71/5.21 (xuntil2p8(s115) | (~until2p7(s115))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9708, 8293, 37094])).
% 5.71/5.21 tff(37096,plain,
% 5.71/5.21 (~until2p7(s115)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37095, 37091])).
% 5.71/5.21 tff(37097,plain,
% 5.71/5.21 (~xuntil2p8(s114)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9714, 37096])).
% 5.71/5.21 tff(37098,plain,
% 5.71/5.21 (node4(s114) | (~until2p7(s114))),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9720, 8293, 37097])).
% 5.71/5.21 tff(37099,plain,
% 5.71/5.21 (~until2p7(s114)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37098, 36621])).
% 5.71/5.21 tff(37100,plain,
% 5.71/5.21 (~xuntil2p8(s113)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9726, 37099])).
% 5.71/5.21 tff(37101,plain,
% 5.71/5.21 (~until2p7(s113)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9732, 8293, 37100, 36615])).
% 5.71/5.21 tff(37102,plain,
% 5.71/5.21 (~node4(s112)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[18257, 36612])).
% 5.71/5.21 tff(37103,plain,
% 5.71/5.21 (~m_main_v_state(s111, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[17678, 145, 36607])).
% 5.71/5.21 tff(37104,plain,
% 5.71/5.21 (~m_main_v_state(s110, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[17701, 145, 36606])).
% 5.71/5.21 tff(37105,plain,
% 5.71/5.21 (m_main_v_state(s110, c_ready)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[32245, 37104])).
% 5.71/5.21 tff(37106,plain,
% 5.71/5.21 (~m_main_v_request(s110)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[17694, 37105, 37103])).
% 5.71/5.21 tff(37107,plain,
% 5.71/5.21 (~node4(s110)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[17685, 63, 37106])).
% 5.71/5.21 tff(37108,plain,
% 5.71/5.21 (~node4(s109)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[17734, 37104])).
% 5.71/5.21 tff(37109,plain,
% 5.71/5.21 (xuntil2p8(s108)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[32859, 36588, 24175])).
% 5.71/5.21 tff(37110,plain,
% 5.71/5.21 (until2p7(s109)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9786, 37109])).
% 5.71/5.21 tff(37111,plain,
% 5.71/5.21 (node4(s109) | xuntil2p8(s109)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9780, 8293, 37110])).
% 5.71/5.21 tff(37112,plain,
% 5.71/5.21 (xuntil2p8(s109)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37111, 37108])).
% 5.71/5.21 tff(37113,plain,
% 5.71/5.21 (until2p7(s110)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9774, 37112])).
% 5.71/5.21 tff(37114,plain,
% 5.71/5.21 (node4(s110) | xuntil2p8(s110)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9768, 8293, 37113])).
% 5.71/5.21 tff(37115,plain,
% 5.71/5.21 (xuntil2p8(s110)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37114, 37107])).
% 5.71/5.21 tff(37116,plain,
% 5.71/5.21 (until2p7(s111)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9762, 37115])).
% 5.71/5.21 tff(37117,plain,
% 5.71/5.21 (xuntil2p8(s111)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[32238, 37116])).
% 5.71/5.21 tff(37118,plain,
% 5.71/5.21 (until2p7(s112)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9750, 37117])).
% 5.71/5.21 tff(37119,plain,
% 5.71/5.21 (xuntil2p8(s112)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9744, 8293, 37118, 37102])).
% 5.71/5.21 tff(37120,plain,
% 5.71/5.21 ($false),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[9738, 37119, 37101])).
% 5.71/5.21 tff(37121,plain,(m_main_v_request(s199) | trans(s199, s63) | trans(s199, s36) | trans(s199, s50) | trans(s199, s2) | trans(s199, s39) | trans(s199, s13) | trans(s199, s14) | trans(s199, s18) | trans(s199, s58) | trans(s199, s49) | trans(s199, s73) | trans(s199, s9) | trans(s199, s17) | trans(s199, s62) | trans(s199, s25) | trans(s199, s24) | trans(s199, s53) | trans(s199, s71) | trans(s199, s28) | trans(s199, s47) | trans(s199, s41) | trans(s199, s10) | trans(s199, s55) | trans(s199, s20) | trans(s199, s44) | trans(s199, s40) | trans(s199, s33) | trans(s199, s0) | trans(s199, s74) | trans(s199, s65) | trans(s199, s23) | trans(s199, s57) | trans(s199, s29) | trans(s199, s72) | trans(s199, s3) | trans(s199, s51) | trans(s199, s69) | trans(s199, s12) | trans(s199, s56) | trans(s199, s67) | trans(s199, s70) | trans(s199, s43) | trans(s199, s4) | trans(s199, s45) | trans(s199, s52) | trans(s199, s11) | trans(s199, s48) | trans(s199, s59) | trans(s199, s31) | trans(s199, s54) | trans(s199, s64) | trans(s199, s27) | trans(s199, s42) | trans(s199, s75) | trans(s199, s22) | trans(s199, s60) | trans(s199, s76) | trans(s199, s26) | trans(s199, s34) | trans(s199, s19) | trans(s199, s68) | trans(s199, s35) | trans(s199, s21) | trans(s199, s66) | trans(s199, s30) | trans(s199, s37) | trans(s199, s6) | trans(s199, s1) | trans(s199, s7) | trans(s199, s38) | trans(s199, s46) | trans(s199, s16) | trans(s199, s15) | trans(s199, s8) | trans(s199, s32) | trans(s199, s5) | trans(s199, s61) | (~until5(s39)) | (~until5(s111))), inference(lemma,lemma(discharge,[]))).
% 5.71/5.21 tff(37122,plain,
% 5.71/5.21 (m_main_v_request(s199)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37121, 18138, 18127, 18126, 18115, 18114, 18113, 18112, 18111, 18110, 18099, 18088, 18077, 18076, 18075, 18064, 18063, 18062, 18051, 18040, 18039, 18028, 18027, 18026, 18015, 18014, 18013, 18012, 18011, 18009, 17998, 17987, 17986, 17975, 17974, 17963, 17962, 17951, 17940, 17939, 17928, 17917, 17906, 17905, 17904, 17903, 17892, 17891, 17880, 17869, 17868, 17857, 17846, 17845, 17844, 17833, 17832, 17821, 17811, 17810, 17809, 17808, 17797, 17796, 17795, 17784, 17783, 17782, 17781, 17776, 17775, 17774, 17764, 17763, 17762, 17761, 17760, 17749, 16184, 17739])).
% 5.71/5.21 tff(37123,plain,
% 5.71/5.21 (node2(s199, s96)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[35582, 11287, 7])).
% 5.71/5.21 tff(37124,plain,
% 5.71/5.21 (always3(s96)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[24195, 11287])).
% 5.71/5.21 tff(37125,plain,
% 5.71/5.21 (~m_main_v_state(s96, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[17229, 145, 37124])).
% 5.71/5.21 tff(37126,assumption,(node2(s199, s96)), introduced(assumption)).
% 5.71/5.21 tff(37127,assumption,(~m_main_v_state(s96, c_busy)), introduced(assumption)).
% 5.71/5.21 tff(37128,plain,
% 5.71/5.21 (((~![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(s96, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s96)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s96, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s96)))),
% 5.71/5.21 inference(rewrite,[status(thm)],[])).
% 5.71/5.21 tff(37129,plain,
% 5.71/5.21 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s96, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s96)))),
% 5.71/5.21 inference(rewrite,[status(thm)],[])).
% 5.71/5.21 tff(37130,plain,
% 5.71/5.21 (((~![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(s199, c_ready)) | (~node2(s199, s96)) | m_main_v_state(s96, 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(s96, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s96))))),
% 5.71/5.21 inference(monotonicity,[status(thm)],[37129])).
% 5.71/5.21 tff(37131,plain,
% 5.71/5.21 (((~![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(s199, c_ready)) | (~node2(s199, s96)) | m_main_v_state(s96, 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(s96, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s96)))),
% 5.71/5.21 inference(transitivity,[status(thm)],[37130, 37128])).
% 5.71/5.21 tff(37132,plain,
% 5.71/5.21 ((~![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(s199, c_ready)) | (~node2(s199, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s199)))),
% 5.71/5.21 inference(quant_inst,[status(thm)],[])).
% 5.71/5.21 tff(37133,plain,
% 5.71/5.21 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s96, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s96))),
% 5.71/5.21 inference(modus_ponens,[status(thm)],[37132, 37131])).
% 5.71/5.21 tff(37134,plain,
% 5.71/5.21 ($false),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37133, 166, 37127, 32885, 32872, 37126])).
% 5.71/5.21 tff(37135,plain,((~node2(s199, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.71/5.21 tff(37136,plain,
% 5.71/5.21 ($false),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37135, 37125, 37123, 32872])).
% 5.71/5.21 tff(37137,plain,((~trans(s199, s96)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.71/5.21 tff(37138,plain,
% 5.71/5.21 (~trans(s199, s96)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37137, 37122])).
% 5.71/5.21 tff(37139,plain,
% 5.71/5.21 (~trans(s199, s161)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[32896, 32872])).
% 5.71/5.21 tff(37140,assumption,(~node2(s199, s106)), introduced(assumption)).
% 5.71/5.21 tff(37141,plain,
% 5.71/5.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s106)) | node2(s199, s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s106)) | node2(s199, s106))),
% 5.71/5.21 inference(rewrite,[status(thm)],[])).
% 5.71/5.21 tff(37142,plain,
% 5.71/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s106)) | node2(s199, s106))),
% 5.71/5.21 inference(quant_inst,[status(thm)],[])).
% 5.71/5.21 tff(37143,plain,
% 5.71/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s106)) | node2(s199, s106)),
% 5.71/5.21 inference(modus_ponens,[status(thm)],[37142, 37141])).
% 5.71/5.21 tff(37144,plain,
% 5.71/5.21 ($false),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37143, 12860, 7, 37140])).
% 5.71/5.21 tff(37145,plain,((~trans(s199, s106)) | node2(s199, s106)), inference(lemma,lemma(discharge,[]))).
% 5.71/5.21 tff(37146,plain,
% 5.71/5.21 (node2(s199, s106)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37145, 12860])).
% 5.71/5.21 tff(37147,assumption,(node2(s199, s106)), introduced(assumption)).
% 5.71/5.21 tff(37148,plain,
% 5.71/5.21 (((~![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(s106, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s106)))),
% 5.71/5.21 inference(rewrite,[status(thm)],[])).
% 5.71/5.21 tff(37149,plain,
% 5.71/5.21 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s106)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s106, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s106)))),
% 5.71/5.21 inference(rewrite,[status(thm)],[])).
% 5.71/5.21 tff(37150,plain,
% 5.71/5.21 (((~![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(s199, c_ready)) | (~node2(s199, s106)) | m_main_v_state(s106, 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(s106, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s106))))),
% 5.71/5.21 inference(monotonicity,[status(thm)],[37149])).
% 5.71/5.21 tff(37151,plain,
% 5.71/5.21 (((~![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(s199, c_ready)) | (~node2(s199, s106)) | m_main_v_state(s106, 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(s106, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s106)))),
% 5.71/5.21 inference(transitivity,[status(thm)],[37150, 37148])).
% 5.71/5.21 tff(37152,plain,
% 5.71/5.21 ((~![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(s199, c_ready)) | (~node2(s199, s106)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s199)))),
% 5.71/5.21 inference(quant_inst,[status(thm)],[])).
% 5.71/5.21 tff(37153,plain,
% 5.71/5.21 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s106, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s106))),
% 5.71/5.21 inference(modus_ponens,[status(thm)],[37152, 37151])).
% 5.71/5.21 tff(37154,plain,
% 5.71/5.21 ($false),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37153, 166, 17511, 32885, 32872, 37147])).
% 5.71/5.21 tff(37155,plain,((~node2(s199, s106)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.71/5.21 tff(37156,plain,
% 5.71/5.21 (m_main_v_state(s106, c_busy)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37155, 37146, 32872])).
% 5.71/5.21 tff(37157,plain,
% 5.71/5.21 (always3(s106)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[24640, 12860])).
% 5.71/5.21 tff(37158,plain,
% 5.71/5.21 ($false),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[17503, 145, 37157, 37156])).
% 5.71/5.21 tff(37159,plain,((~trans(s199, s106)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.71/5.21 tff(37160,plain,
% 5.71/5.21 (~trans(s199, s106)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37159, 32872])).
% 5.71/5.21 tff(37161,plain,
% 5.71/5.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s80)) | node2(s199, s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s80)) | node2(s199, s80))),
% 5.71/5.21 inference(rewrite,[status(thm)],[])).
% 5.71/5.21 tff(37162,plain,
% 5.71/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s80)) | node2(s199, s80))),
% 5.71/5.21 inference(quant_inst,[status(thm)],[])).
% 5.71/5.21 tff(37163,plain,
% 5.71/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s80)) | node2(s199, s80)),
% 5.71/5.21 inference(modus_ponens,[status(thm)],[37162, 37161])).
% 5.71/5.21 tff(37164,plain,
% 5.71/5.21 (node2(s199, s80)),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37163, 12442, 7])).
% 5.71/5.21 tff(37165,plain,
% 5.71/5.21 (((~![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(s80, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s80)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s80, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s80)))),
% 5.71/5.21 inference(rewrite,[status(thm)],[])).
% 5.71/5.21 tff(37166,plain,
% 5.71/5.21 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s80)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s80, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s80)))),
% 5.71/5.21 inference(rewrite,[status(thm)],[])).
% 5.71/5.21 tff(37167,plain,
% 5.71/5.21 (((~![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(s199, c_ready)) | (~node2(s199, s80)) | m_main_v_state(s80, 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(s80, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s80))))),
% 5.71/5.21 inference(monotonicity,[status(thm)],[37166])).
% 5.71/5.21 tff(37168,plain,
% 5.71/5.21 (((~![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(s199, c_ready)) | (~node2(s199, s80)) | m_main_v_state(s80, 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(s80, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s80)))),
% 5.71/5.21 inference(transitivity,[status(thm)],[37167, 37165])).
% 5.71/5.21 tff(37169,plain,
% 5.71/5.21 ((~![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(s199, c_ready)) | (~node2(s199, s80)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s199)))),
% 5.71/5.21 inference(quant_inst,[status(thm)],[])).
% 5.71/5.21 tff(37170,plain,
% 5.71/5.21 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s80, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s80))),
% 5.71/5.21 inference(modus_ponens,[status(thm)],[37169, 37168])).
% 5.71/5.21 tff(37171,plain,
% 5.71/5.21 ($false),
% 5.71/5.21 inference(unit_resolution,[status(thm)],[37170, 166, 36564, 32885, 32872, 37164])).
% 5.71/5.21 tff(37172,plain,((~trans(s199, s80)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.71/5.21 tff(37173,plain,
% 5.71/5.22 (~trans(s199, s80)),
% 5.71/5.22 inference(unit_resolution,[status(thm)],[37172, 32872])).
% 5.71/5.22 tff(37174,plain,
% 5.71/5.22 (~trans(s199, s158)),
% 5.71/5.22 inference(unit_resolution,[status(thm)],[32917, 32872])).
% 5.71/5.22 tff(37175,plain,
% 5.71/5.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s79)) | node2(s199, s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s79)) | node2(s199, s79))),
% 5.71/5.22 inference(rewrite,[status(thm)],[])).
% 5.71/5.22 tff(37176,plain,
% 5.71/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s79)) | node2(s199, s79))),
% 5.71/5.22 inference(quant_inst,[status(thm)],[])).
% 5.71/5.22 tff(37177,plain,
% 5.71/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s79)) | node2(s199, s79)),
% 5.71/5.22 inference(modus_ponens,[status(thm)],[37176, 37175])).
% 5.71/5.22 tff(37178,plain,
% 5.71/5.22 (node2(s199, s79)),
% 5.71/5.22 inference(unit_resolution,[status(thm)],[37177, 11606, 7])).
% 5.71/5.22 tff(37179,plain,
% 5.71/5.22 (~m_main_v_state(s79, c_busy)),
% 5.71/5.22 inference(unit_resolution,[status(thm)],[16725, 145, 36537])).
% 5.71/5.22 tff(37180,plain,
% 5.71/5.22 (((~![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(s79, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s79)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s79, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s79)))),
% 5.71/5.22 inference(rewrite,[status(thm)],[])).
% 5.71/5.22 tff(37181,plain,
% 5.71/5.22 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s79)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s79, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s79)))),
% 5.71/5.22 inference(rewrite,[status(thm)],[])).
% 5.71/5.22 tff(37182,plain,
% 5.71/5.22 (((~![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(s199, c_ready)) | (~node2(s199, s79)) | m_main_v_state(s79, 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(s79, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s79))))),
% 5.71/5.22 inference(monotonicity,[status(thm)],[37181])).
% 5.71/5.22 tff(37183,plain,
% 5.71/5.22 (((~![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(s199, c_ready)) | (~node2(s199, s79)) | m_main_v_state(s79, 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(s79, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s79)))),
% 5.71/5.22 inference(transitivity,[status(thm)],[37182, 37180])).
% 5.71/5.22 tff(37184,plain,
% 5.71/5.22 ((~![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(s199, c_ready)) | (~node2(s199, s79)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s199)))),
% 5.71/5.22 inference(quant_inst,[status(thm)],[])).
% 5.71/5.22 tff(37185,plain,
% 5.71/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s79, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s79))),
% 5.71/5.22 inference(modus_ponens,[status(thm)],[37184, 37183])).
% 5.71/5.22 tff(37186,plain,
% 5.71/5.22 ($false),
% 5.71/5.22 inference(unit_resolution,[status(thm)],[37185, 166, 37179, 32885, 32872, 37178])).
% 5.71/5.22 tff(37187,plain,((~trans(s199, s79)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.71/5.22 tff(37188,plain,
% 5.71/5.22 (~trans(s199, s79)),
% 5.71/5.22 inference(unit_resolution,[status(thm)],[37187, 32872])).
% 5.71/5.22 tff(37189,plain,
% 5.71/5.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s87)) | node2(s199, s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s87)) | node2(s199, s87))),
% 5.71/5.22 inference(rewrite,[status(thm)],[])).
% 5.71/5.22 tff(37190,plain,
% 5.71/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s87)) | node2(s199, s87))),
% 5.71/5.22 inference(quant_inst,[status(thm)],[])).
% 5.71/5.22 tff(37191,plain,
% 5.71/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s87)) | node2(s199, s87)),
% 5.71/5.22 inference(modus_ponens,[status(thm)],[37190, 37189])).
% 5.71/5.22 tff(37192,plain,
% 5.71/5.22 (node2(s199, s87)),
% 5.71/5.22 inference(unit_resolution,[status(thm)],[37191, 13234, 7])).
% 5.71/5.22 tff(37193,plain,
% 5.71/5.22 (~m_main_v_state(s87, c_busy)),
% 5.71/5.22 inference(unit_resolution,[status(thm)],[16890, 145, 36413])).
% 5.71/5.22 tff(37194,plain,
% 5.71/5.22 (((~![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(s87, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s87)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s87, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s87)))),
% 5.71/5.22 inference(rewrite,[status(thm)],[])).
% 5.71/5.22 tff(37195,plain,
% 5.71/5.22 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s87)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s87, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s87)))),
% 5.71/5.22 inference(rewrite,[status(thm)],[])).
% 5.71/5.22 tff(37196,plain,
% 5.71/5.22 (((~![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(s199, c_ready)) | (~node2(s199, s87)) | m_main_v_state(s87, 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(s87, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s87))))),
% 5.71/5.22 inference(monotonicity,[status(thm)],[37195])).
% 5.71/5.22 tff(37197,plain,
% 5.71/5.22 (((~![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(s199, c_ready)) | (~node2(s199, s87)) | m_main_v_state(s87, 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(s87, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s87)))),
% 5.71/5.22 inference(transitivity,[status(thm)],[37196, 37194])).
% 5.71/5.22 tff(37198,plain,
% 5.71/5.22 ((~![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(s199, c_ready)) | (~node2(s199, s87)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s199)))),
% 5.71/5.22 inference(quant_inst,[status(thm)],[])).
% 5.71/5.22 tff(37199,plain,
% 5.71/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s87, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s87))),
% 5.71/5.22 inference(modus_ponens,[status(thm)],[37198, 37197])).
% 5.71/5.22 tff(37200,plain,
% 5.71/5.22 ($false),
% 5.71/5.22 inference(unit_resolution,[status(thm)],[37199, 166, 37193, 32885, 32872, 37192])).
% 5.71/5.22 tff(37201,plain,((~trans(s199, s87)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.71/5.22 tff(37202,plain,
% 5.71/5.22 (~trans(s199, s87)),
% 5.71/5.22 inference(unit_resolution,[status(thm)],[37201, 32872])).
% 5.71/5.22 tff(37203,plain,
% 5.71/5.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s83)) | node2(s199, s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s83)) | node2(s199, s83))),
% 5.71/5.22 inference(rewrite,[status(thm)],[])).
% 5.71/5.22 tff(37204,plain,
% 5.71/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s83)) | node2(s199, s83))),
% 5.71/5.22 inference(quant_inst,[status(thm)],[])).
% 5.71/5.22 tff(37205,plain,
% 5.71/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s83)) | node2(s199, s83)),
% 5.71/5.22 inference(modus_ponens,[status(thm)],[37204, 37203])).
% 5.71/5.22 tff(37206,plain,
% 5.71/5.22 (node2(s199, s83)),
% 5.71/5.22 inference(unit_resolution,[status(thm)],[37205, 13278, 7])).
% 5.71/5.22 tff(37207,plain,
% 5.71/5.22 (~m_main_v_state(s83, c_busy)),
% 5.71/5.22 inference(unit_resolution,[status(thm)],[16496, 145, 36417])).
% 5.71/5.22 tff(37208,plain,
% 5.71/5.22 (((~![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(s83, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s83)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s83, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s83)))),
% 5.71/5.22 inference(rewrite,[status(thm)],[])).
% 5.71/5.22 tff(37209,plain,
% 5.71/5.22 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s83)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s83, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s83)))),
% 5.75/5.22 inference(rewrite,[status(thm)],[])).
% 5.75/5.22 tff(37210,plain,
% 5.75/5.22 (((~![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(s199, c_ready)) | (~node2(s199, s83)) | m_main_v_state(s83, 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(s83, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s83))))),
% 5.75/5.22 inference(monotonicity,[status(thm)],[37209])).
% 5.75/5.22 tff(37211,plain,
% 5.75/5.22 (((~![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(s199, c_ready)) | (~node2(s199, s83)) | m_main_v_state(s83, 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(s83, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s83)))),
% 5.75/5.22 inference(transitivity,[status(thm)],[37210, 37208])).
% 5.75/5.22 tff(37212,plain,
% 5.75/5.22 ((~![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(s199, c_ready)) | (~node2(s199, s83)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s199)))),
% 5.75/5.22 inference(quant_inst,[status(thm)],[])).
% 5.75/5.22 tff(37213,plain,
% 5.75/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s83, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s83))),
% 5.75/5.22 inference(modus_ponens,[status(thm)],[37212, 37211])).
% 5.75/5.22 tff(37214,plain,
% 5.75/5.22 ($false),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[37213, 166, 37207, 32885, 32872, 37206])).
% 5.75/5.22 tff(37215,plain,((~trans(s199, s83)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.75/5.22 tff(37216,plain,
% 5.75/5.22 (~trans(s199, s83)),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[37215, 32872])).
% 5.75/5.22 tff(37217,plain,
% 5.75/5.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s86)) | node2(s199, s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s86)) | node2(s199, s86))),
% 5.75/5.22 inference(rewrite,[status(thm)],[])).
% 5.75/5.22 tff(37218,plain,
% 5.75/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s86)) | node2(s199, s86))),
% 5.75/5.22 inference(quant_inst,[status(thm)],[])).
% 5.75/5.22 tff(37219,plain,
% 5.75/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s86)) | node2(s199, s86)),
% 5.75/5.22 inference(modus_ponens,[status(thm)],[37218, 37217])).
% 5.75/5.22 tff(37220,plain,
% 5.75/5.22 (node2(s199, s86)),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[37219, 12519, 7])).
% 5.75/5.22 tff(37221,plain,
% 5.75/5.22 (((~![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(s86, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s86)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s86, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s86)))),
% 5.75/5.22 inference(rewrite,[status(thm)],[])).
% 5.75/5.22 tff(37222,plain,
% 5.75/5.22 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s86)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s86, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s86)))),
% 5.75/5.22 inference(rewrite,[status(thm)],[])).
% 5.75/5.22 tff(37223,plain,
% 5.75/5.22 (((~![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(s199, c_ready)) | (~node2(s199, s86)) | m_main_v_state(s86, 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(s86, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s86))))),
% 5.75/5.22 inference(monotonicity,[status(thm)],[37222])).
% 5.75/5.22 tff(37224,plain,
% 5.75/5.22 (((~![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(s199, c_ready)) | (~node2(s199, s86)) | m_main_v_state(s86, 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(s86, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s86)))),
% 5.75/5.22 inference(transitivity,[status(thm)],[37223, 37221])).
% 5.75/5.22 tff(37225,plain,
% 5.75/5.22 ((~![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(s199, c_ready)) | (~node2(s199, s86)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s199)))),
% 5.75/5.22 inference(quant_inst,[status(thm)],[])).
% 5.75/5.22 tff(37226,plain,
% 5.75/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s86, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s86))),
% 5.75/5.22 inference(modus_ponens,[status(thm)],[37225, 37224])).
% 5.75/5.22 tff(37227,plain,
% 5.75/5.22 ($false),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[37226, 166, 36351, 32885, 32872, 37220])).
% 5.75/5.22 tff(37228,plain,((~trans(s199, s86)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.75/5.22 tff(37229,plain,
% 5.75/5.22 (~trans(s199, s86)),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[37228, 32872])).
% 5.75/5.22 tff(37230,plain,
% 5.75/5.22 (~trans(s199, s156)),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[32938, 32872])).
% 5.75/5.22 tff(37231,plain,
% 5.75/5.22 (~trans(s199, s110)),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[32953, 32872])).
% 5.75/5.22 tff(37232,plain,
% 5.75/5.22 (~trans(s199, s112)),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[32968, 32872])).
% 5.75/5.22 tff(37233,plain,
% 5.75/5.22 (((~![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(s77, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s77)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s77, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s77)))),
% 5.75/5.22 inference(rewrite,[status(thm)],[])).
% 5.75/5.22 tff(37234,plain,
% 5.75/5.22 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s77)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s77, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s77)))),
% 5.75/5.22 inference(rewrite,[status(thm)],[])).
% 5.75/5.22 tff(37235,plain,
% 5.75/5.22 (((~![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(s199, c_ready)) | (~node2(s199, s77)) | m_main_v_state(s77, 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(s77, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s77))))),
% 5.75/5.22 inference(monotonicity,[status(thm)],[37234])).
% 5.75/5.22 tff(37236,plain,
% 5.75/5.22 (((~![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(s199, c_ready)) | (~node2(s199, s77)) | m_main_v_state(s77, 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(s77, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s77)))),
% 5.75/5.22 inference(transitivity,[status(thm)],[37235, 37233])).
% 5.75/5.22 tff(37237,plain,
% 5.75/5.22 ((~![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(s199, c_ready)) | (~node2(s199, s77)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s199)))),
% 5.75/5.22 inference(quant_inst,[status(thm)],[])).
% 5.75/5.22 tff(37238,plain,
% 5.75/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s77, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s77))),
% 5.75/5.22 inference(modus_ponens,[status(thm)],[37237, 37236])).
% 5.75/5.22 tff(37239,plain,
% 5.75/5.22 ($false),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[37238, 166, 36171, 32885, 32872, 36170])).
% 5.75/5.22 tff(37240,plain,((~trans(s199, s77)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.75/5.22 tff(37241,plain,
% 5.75/5.22 (~trans(s199, s77)),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[37240, 32872])).
% 5.75/5.22 tff(37242,plain,
% 5.75/5.22 (((~![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(s91, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s91)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s91, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s91)))),
% 5.75/5.22 inference(rewrite,[status(thm)],[])).
% 5.75/5.22 tff(37243,plain,
% 5.75/5.22 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s91)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s91, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s91)))),
% 5.75/5.22 inference(rewrite,[status(thm)],[])).
% 5.75/5.22 tff(37244,plain,
% 5.75/5.22 (((~![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(s199, c_ready)) | (~node2(s199, s91)) | m_main_v_state(s91, 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(s91, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s91))))),
% 5.75/5.22 inference(monotonicity,[status(thm)],[37243])).
% 5.75/5.22 tff(37245,plain,
% 5.75/5.22 (((~![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(s199, c_ready)) | (~node2(s199, s91)) | m_main_v_state(s91, 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(s91, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s91)))),
% 5.75/5.22 inference(transitivity,[status(thm)],[37244, 37242])).
% 5.75/5.22 tff(37246,plain,
% 5.75/5.22 ((~![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(s199, c_ready)) | (~node2(s199, s91)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s199)))),
% 5.75/5.22 inference(quant_inst,[status(thm)],[])).
% 5.75/5.22 tff(37247,plain,
% 5.75/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s91, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s91))),
% 5.75/5.22 inference(modus_ponens,[status(thm)],[37246, 37245])).
% 5.75/5.22 tff(37248,plain,
% 5.75/5.22 ($false),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[37247, 166, 35999, 32885, 32872, 35998])).
% 5.75/5.22 tff(37249,plain,((~trans(s199, s91)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.75/5.22 tff(37250,plain,
% 5.75/5.22 (~trans(s199, s91)),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[37249, 32872])).
% 5.75/5.22 tff(37251,plain,
% 5.75/5.22 (~trans(s199, s111)),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[32983, 32872])).
% 5.75/5.22 tff(37252,plain,
% 5.75/5.22 (~trans(s199, s109)),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[32998, 32872])).
% 5.75/5.22 tff(37253,plain,
% 5.75/5.22 (~trans(s199, s117)),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[33011, 32872])).
% 5.75/5.22 tff(37254,plain,
% 5.75/5.22 (~trans(s199, s116)),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[33026, 32872])).
% 5.75/5.22 tff(37255,plain,
% 5.75/5.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s89)) | node2(s199, s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s89)) | node2(s199, s89))),
% 5.75/5.22 inference(rewrite,[status(thm)],[])).
% 5.75/5.22 tff(37256,plain,
% 5.75/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s89)) | node2(s199, s89))),
% 5.75/5.22 inference(quant_inst,[status(thm)],[])).
% 5.75/5.22 tff(37257,plain,
% 5.75/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s89)) | node2(s199, s89)),
% 5.75/5.22 inference(modus_ponens,[status(thm)],[37256, 37255])).
% 5.75/5.22 tff(37258,plain,
% 5.75/5.22 (node2(s199, s89)),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[37257, 12937, 7])).
% 5.75/5.22 tff(37259,plain,
% 5.75/5.22 (((~![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(s89, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s89)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s89, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s89)))),
% 5.75/5.22 inference(rewrite,[status(thm)],[])).
% 5.75/5.22 tff(37260,plain,
% 5.75/5.22 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s89, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s89)))),
% 5.75/5.22 inference(rewrite,[status(thm)],[])).
% 5.75/5.22 tff(37261,plain,
% 5.75/5.22 (((~![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(s199, c_ready)) | (~node2(s199, s89)) | m_main_v_state(s89, 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(s89, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s89))))),
% 5.75/5.22 inference(monotonicity,[status(thm)],[37260])).
% 5.75/5.22 tff(37262,plain,
% 5.75/5.22 (((~![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(s199, c_ready)) | (~node2(s199, s89)) | m_main_v_state(s89, 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(s89, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s89)))),
% 5.75/5.22 inference(transitivity,[status(thm)],[37261, 37259])).
% 5.75/5.22 tff(37263,plain,
% 5.75/5.22 ((~![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(s199, c_ready)) | (~node2(s199, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s199)))),
% 5.75/5.22 inference(quant_inst,[status(thm)],[])).
% 5.75/5.22 tff(37264,plain,
% 5.75/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s89, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s89))),
% 5.75/5.22 inference(modus_ponens,[status(thm)],[37263, 37262])).
% 5.75/5.22 tff(37265,plain,
% 5.75/5.22 ($false),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[37264, 166, 36039, 32885, 32872, 37258])).
% 5.75/5.22 tff(37266,plain,((~trans(s199, s89)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.75/5.22 tff(37267,plain,
% 5.75/5.22 (~trans(s199, s89)),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[37266, 32872])).
% 5.75/5.22 tff(37268,plain,
% 5.75/5.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s99)) | node2(s199, s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s99)) | node2(s199, s99))),
% 5.75/5.22 inference(rewrite,[status(thm)],[])).
% 5.75/5.22 tff(37269,plain,
% 5.75/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s99)) | node2(s199, s99))),
% 5.75/5.22 inference(quant_inst,[status(thm)],[])).
% 5.75/5.22 tff(37270,plain,
% 5.75/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s99)) | node2(s199, s99)),
% 5.75/5.22 inference(modus_ponens,[status(thm)],[37269, 37268])).
% 5.75/5.22 tff(37271,plain,
% 5.75/5.22 (node2(s199, s99)),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[37270, 12299, 7])).
% 5.75/5.22 tff(37272,plain,
% 5.75/5.22 (~m_main_v_state(s99, c_busy)),
% 5.75/5.22 inference(unit_resolution,[status(thm)],[9958, 145, 35788])).
% 5.75/5.22 tff(37273,plain,
% 5.75/5.22 (((~![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(s99, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s99, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s99)))),
% 5.75/5.22 inference(rewrite,[status(thm)],[])).
% 5.75/5.22 tff(37274,plain,
% 5.75/5.22 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s99, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s99)))),
% 5.75/5.22 inference(rewrite,[status(thm)],[])).
% 5.75/5.22 tff(37275,plain,
% 5.75/5.22 (((~![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(s199, c_ready)) | (~node2(s199, s99)) | m_main_v_state(s99, 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(s99, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s99))))),
% 5.75/5.22 inference(monotonicity,[status(thm)],[37274])).
% 5.75/5.23 tff(37276,plain,
% 5.75/5.23 (((~![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(s199, c_ready)) | (~node2(s199, s99)) | m_main_v_state(s99, 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(s99, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s99)))),
% 5.75/5.23 inference(transitivity,[status(thm)],[37275, 37273])).
% 5.75/5.23 tff(37277,plain,
% 5.75/5.23 ((~![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(s199, c_ready)) | (~node2(s199, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s199)))),
% 5.75/5.23 inference(quant_inst,[status(thm)],[])).
% 5.75/5.23 tff(37278,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s99, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s99))),
% 5.75/5.23 inference(modus_ponens,[status(thm)],[37277, 37276])).
% 5.75/5.23 tff(37279,plain,
% 5.75/5.23 ($false),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37278, 166, 37272, 32885, 32872, 37271])).
% 5.75/5.23 tff(37280,plain,((~trans(s199, s99)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.75/5.23 tff(37281,plain,
% 5.75/5.23 (~trans(s199, s99)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37280, 32872])).
% 5.75/5.23 tff(37282,plain,
% 5.75/5.23 (((~![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(s104, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s104)))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37283,plain,
% 5.75/5.23 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s104)) | m_main_v_state(s104, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s104, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s104)))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37284,plain,
% 5.75/5.23 (((~![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(s199, c_ready)) | (~node2(s199, s104)) | m_main_v_state(s104, 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(s104, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s104))))),
% 5.75/5.23 inference(monotonicity,[status(thm)],[37283])).
% 5.75/5.23 tff(37285,plain,
% 5.75/5.23 (((~![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(s199, c_ready)) | (~node2(s199, s104)) | m_main_v_state(s104, 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(s104, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s104)))),
% 5.75/5.23 inference(transitivity,[status(thm)],[37284, 37282])).
% 5.75/5.23 tff(37286,plain,
% 5.75/5.23 ((~![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(s199, c_ready)) | (~node2(s199, s104)) | m_main_v_state(s104, c_busy) | (~m_main_v_request(s199)))),
% 5.75/5.23 inference(quant_inst,[status(thm)],[])).
% 5.75/5.23 tff(37287,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s104, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s104))),
% 5.75/5.23 inference(modus_ponens,[status(thm)],[37286, 37285])).
% 5.75/5.23 tff(37288,plain,
% 5.75/5.23 ($false),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37287, 166, 35705, 32885, 32872, 35696])).
% 5.75/5.23 tff(37289,plain,((~trans(s199, s104)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.75/5.23 tff(37290,plain,
% 5.75/5.23 (~trans(s199, s104)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37289, 32872])).
% 5.75/5.23 tff(37291,plain,
% 5.75/5.23 (~trans(s199, s115)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[33041, 32872])).
% 5.75/5.23 tff(37292,plain,
% 5.75/5.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s82)) | node2(s199, s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s82)) | node2(s199, s82))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37293,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s82)) | node2(s199, s82))),
% 5.75/5.23 inference(quant_inst,[status(thm)],[])).
% 5.75/5.23 tff(37294,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s82)) | node2(s199, s82)),
% 5.75/5.23 inference(modus_ponens,[status(thm)],[37293, 37292])).
% 5.75/5.23 tff(37295,plain,
% 5.75/5.23 (node2(s199, s82)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37294, 11518, 7])).
% 5.75/5.23 tff(37296,plain,
% 5.75/5.23 (always3(s82)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[24346, 11518])).
% 5.75/5.23 tff(37297,plain,
% 5.75/5.23 (~m_main_v_state(s82, c_busy)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[16604, 145, 37296])).
% 5.75/5.23 tff(37298,plain,
% 5.75/5.23 (((~![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(s82, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s82)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s82, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s82)))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37299,plain,
% 5.75/5.23 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s82)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s82, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s82)))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37300,plain,
% 5.75/5.23 (((~![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(s199, c_ready)) | (~node2(s199, s82)) | m_main_v_state(s82, 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(s82, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s82))))),
% 5.75/5.23 inference(monotonicity,[status(thm)],[37299])).
% 5.75/5.23 tff(37301,plain,
% 5.75/5.23 (((~![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(s199, c_ready)) | (~node2(s199, s82)) | m_main_v_state(s82, 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(s82, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s82)))),
% 5.75/5.23 inference(transitivity,[status(thm)],[37300, 37298])).
% 5.75/5.23 tff(37302,plain,
% 5.75/5.23 ((~![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(s199, c_ready)) | (~node2(s199, s82)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s199)))),
% 5.75/5.23 inference(quant_inst,[status(thm)],[])).
% 5.75/5.23 tff(37303,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s82, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s82))),
% 5.75/5.23 inference(modus_ponens,[status(thm)],[37302, 37301])).
% 5.75/5.23 tff(37304,plain,
% 5.75/5.23 ($false),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37303, 166, 37297, 32885, 32872, 37295])).
% 5.75/5.23 tff(37305,plain,((~trans(s199, s82)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.75/5.23 tff(37306,plain,
% 5.75/5.23 (~trans(s199, s82)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37305, 32872])).
% 5.75/5.23 tff(37307,plain,
% 5.75/5.23 (~trans(s199, s120)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[33054, 32872])).
% 5.75/5.23 tff(37308,plain,
% 5.75/5.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s95)) | node2(s199, s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s95)) | node2(s199, s95))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37309,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s95)) | node2(s199, s95))),
% 5.75/5.23 inference(quant_inst,[status(thm)],[])).
% 5.75/5.23 tff(37310,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s95)) | node2(s199, s95)),
% 5.75/5.23 inference(modus_ponens,[status(thm)],[37309, 37308])).
% 5.75/5.23 tff(37311,plain,
% 5.75/5.23 (node2(s199, s95)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37310, 11540, 7])).
% 5.75/5.23 tff(37312,plain,
% 5.75/5.23 (always3(s95)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[24356, 11540])).
% 5.75/5.23 tff(37313,plain,
% 5.75/5.23 (~m_main_v_state(s95, c_busy)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[17274, 145, 37312])).
% 5.75/5.23 tff(37314,plain,
% 5.75/5.23 (((~![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(s95, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s95)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s95, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s95)))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37315,plain,
% 5.75/5.23 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s95, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s95)))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37316,plain,
% 5.75/5.23 (((~![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(s199, c_ready)) | (~node2(s199, s95)) | m_main_v_state(s95, 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(s95, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s95))))),
% 5.75/5.23 inference(monotonicity,[status(thm)],[37315])).
% 5.75/5.23 tff(37317,plain,
% 5.75/5.23 (((~![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(s199, c_ready)) | (~node2(s199, s95)) | m_main_v_state(s95, 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(s95, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s95)))),
% 5.75/5.23 inference(transitivity,[status(thm)],[37316, 37314])).
% 5.75/5.23 tff(37318,plain,
% 5.75/5.23 ((~![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(s199, c_ready)) | (~node2(s199, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s199)))),
% 5.75/5.23 inference(quant_inst,[status(thm)],[])).
% 5.75/5.23 tff(37319,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s95, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s95))),
% 5.75/5.23 inference(modus_ponens,[status(thm)],[37318, 37317])).
% 5.75/5.23 tff(37320,plain,
% 5.75/5.23 ($false),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37319, 166, 37313, 32885, 32872, 37311])).
% 5.75/5.23 tff(37321,plain,((~trans(s199, s95)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.75/5.23 tff(37322,plain,
% 5.75/5.23 (~trans(s199, s95)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37321, 32872])).
% 5.75/5.23 tff(37323,plain,
% 5.75/5.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s90)) | node2(s199, s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s90)) | node2(s199, s90))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37324,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s90)) | node2(s199, s90))),
% 5.75/5.23 inference(quant_inst,[status(thm)],[])).
% 5.75/5.23 tff(37325,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s90)) | node2(s199, s90)),
% 5.75/5.23 inference(modus_ponens,[status(thm)],[37324, 37323])).
% 5.75/5.23 tff(37326,plain,
% 5.75/5.23 (node2(s199, s90)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37325, 12079, 7])).
% 5.75/5.23 tff(37327,plain,
% 5.75/5.23 (always3(s90)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[24491, 12079])).
% 5.75/5.23 tff(37328,plain,
% 5.75/5.23 (~m_main_v_state(s90, c_busy)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[16992, 145, 37327])).
% 5.75/5.23 tff(37329,plain,
% 5.75/5.23 (((~![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(s90, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s90)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s90, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s90)))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37330,plain,
% 5.75/5.23 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s90, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s90)))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37331,plain,
% 5.75/5.23 (((~![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(s199, c_ready)) | (~node2(s199, s90)) | m_main_v_state(s90, 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(s90, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s90))))),
% 5.75/5.23 inference(monotonicity,[status(thm)],[37330])).
% 5.75/5.23 tff(37332,plain,
% 5.75/5.23 (((~![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(s199, c_ready)) | (~node2(s199, s90)) | m_main_v_state(s90, 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(s90, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s90)))),
% 5.75/5.23 inference(transitivity,[status(thm)],[37331, 37329])).
% 5.75/5.23 tff(37333,plain,
% 5.75/5.23 ((~![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(s199, c_ready)) | (~node2(s199, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s199)))),
% 5.75/5.23 inference(quant_inst,[status(thm)],[])).
% 5.75/5.23 tff(37334,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s90, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s90))),
% 5.75/5.23 inference(modus_ponens,[status(thm)],[37333, 37332])).
% 5.75/5.23 tff(37335,plain,
% 5.75/5.23 ($false),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37334, 166, 37328, 32885, 32872, 37326])).
% 5.75/5.23 tff(37336,plain,((~trans(s199, s90)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.75/5.23 tff(37337,plain,
% 5.75/5.23 (~trans(s199, s90)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37336, 32872])).
% 5.75/5.23 tff(37338,plain,
% 5.75/5.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s85)) | node2(s199, s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s85)) | node2(s199, s85))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37339,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s85)) | node2(s199, s85))),
% 5.75/5.23 inference(quant_inst,[status(thm)],[])).
% 5.75/5.23 tff(37340,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s85)) | node2(s199, s85)),
% 5.75/5.23 inference(modus_ponens,[status(thm)],[37339, 37338])).
% 5.75/5.23 tff(37341,plain,
% 5.75/5.23 (node2(s199, s85)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37340, 12090, 7])).
% 5.75/5.23 tff(37342,plain,
% 5.75/5.23 (always3(s85)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[24502, 12090])).
% 5.75/5.23 tff(37343,plain,
% 5.75/5.23 (~m_main_v_state(s85, c_busy)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[10228, 145, 37342])).
% 5.75/5.23 tff(37344,plain,
% 5.75/5.23 (((~![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(s85, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s85)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s85, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s85)))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37345,plain,
% 5.75/5.23 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s85, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s85)))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37346,plain,
% 5.75/5.23 (((~![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(s199, c_ready)) | (~node2(s199, s85)) | m_main_v_state(s85, 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(s85, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s85))))),
% 5.75/5.23 inference(monotonicity,[status(thm)],[37345])).
% 5.75/5.23 tff(37347,plain,
% 5.75/5.23 (((~![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(s199, c_ready)) | (~node2(s199, s85)) | m_main_v_state(s85, 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(s85, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s85)))),
% 5.75/5.23 inference(transitivity,[status(thm)],[37346, 37344])).
% 5.75/5.23 tff(37348,plain,
% 5.75/5.23 ((~![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(s199, c_ready)) | (~node2(s199, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s199)))),
% 5.75/5.23 inference(quant_inst,[status(thm)],[])).
% 5.75/5.23 tff(37349,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s85, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s85))),
% 5.75/5.23 inference(modus_ponens,[status(thm)],[37348, 37347])).
% 5.75/5.23 tff(37350,plain,
% 5.75/5.23 ($false),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37349, 166, 37343, 32885, 32872, 37341])).
% 5.75/5.23 tff(37351,plain,((~trans(s199, s85)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.75/5.23 tff(37352,plain,
% 5.75/5.23 (~trans(s199, s85)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37351, 32872])).
% 5.75/5.23 tff(37353,plain,
% 5.75/5.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s102)) | node2(s199, s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s102)) | node2(s199, s102))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37354,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s102)) | node2(s199, s102))),
% 5.75/5.23 inference(quant_inst,[status(thm)],[])).
% 5.75/5.23 tff(37355,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s102)) | node2(s199, s102)),
% 5.75/5.23 inference(modus_ponens,[status(thm)],[37354, 37353])).
% 5.75/5.23 tff(37356,plain,
% 5.75/5.23 (node2(s199, s102)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37355, 12112, 7])).
% 5.75/5.23 tff(37357,plain,
% 5.75/5.23 (always3(s102)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[24514, 12112])).
% 5.75/5.23 tff(37358,plain,
% 5.75/5.23 (~m_main_v_state(s102, c_busy)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[9888, 145, 37357])).
% 5.75/5.23 tff(37359,plain,
% 5.75/5.23 (((~![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(s102, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s102)))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37360,plain,
% 5.75/5.23 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s102)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s102, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s102)))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37361,plain,
% 5.75/5.23 (((~![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(s199, c_ready)) | (~node2(s199, s102)) | m_main_v_state(s102, 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(s102, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s102))))),
% 5.75/5.23 inference(monotonicity,[status(thm)],[37360])).
% 5.75/5.23 tff(37362,plain,
% 5.75/5.23 (((~![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(s199, c_ready)) | (~node2(s199, s102)) | m_main_v_state(s102, 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(s102, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s102)))),
% 5.75/5.23 inference(transitivity,[status(thm)],[37361, 37359])).
% 5.75/5.23 tff(37363,plain,
% 5.75/5.23 ((~![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(s199, c_ready)) | (~node2(s199, s102)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s199)))),
% 5.75/5.23 inference(quant_inst,[status(thm)],[])).
% 5.75/5.23 tff(37364,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s102, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s102))),
% 5.75/5.23 inference(modus_ponens,[status(thm)],[37363, 37362])).
% 5.75/5.23 tff(37365,plain,
% 5.75/5.23 ($false),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37364, 166, 37358, 32885, 32872, 37356])).
% 5.75/5.23 tff(37366,plain,((~trans(s199, s102)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.75/5.23 tff(37367,plain,
% 5.75/5.23 (~trans(s199, s102)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37366, 32872])).
% 5.75/5.23 tff(37368,plain,
% 5.75/5.23 (~trans(s199, s119)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[33067, 32872])).
% 5.75/5.23 tff(37369,plain,
% 5.75/5.23 (~trans(s199, s122)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[33080, 32872])).
% 5.75/5.23 tff(37370,plain,
% 5.75/5.23 (~trans(s199, s125)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[33093, 32872])).
% 5.75/5.23 tff(37371,plain,
% 5.75/5.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s81)) | node2(s199, s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s81)) | node2(s199, s81))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37372,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s81)) | node2(s199, s81))),
% 5.75/5.23 inference(quant_inst,[status(thm)],[])).
% 5.75/5.23 tff(37373,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s81)) | node2(s199, s81)),
% 5.75/5.23 inference(modus_ponens,[status(thm)],[37372, 37371])).
% 5.75/5.23 tff(37374,plain,
% 5.75/5.23 (node2(s199, s81)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37373, 12332, 7])).
% 5.75/5.23 tff(37375,plain,
% 5.75/5.23 (always3(s81)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[24556, 12332])).
% 5.75/5.23 tff(37376,plain,
% 5.75/5.23 (~m_main_v_state(s81, c_busy)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[16651, 145, 37375])).
% 5.75/5.23 tff(37377,plain,
% 5.75/5.23 (((~![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(s81, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s81)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s81, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s81)))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37378,plain,
% 5.75/5.23 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s81)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s81, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s81)))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37379,plain,
% 5.75/5.23 (((~![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(s199, c_ready)) | (~node2(s199, s81)) | m_main_v_state(s81, 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(s81, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s81))))),
% 5.75/5.23 inference(monotonicity,[status(thm)],[37378])).
% 5.75/5.23 tff(37380,plain,
% 5.75/5.23 (((~![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(s199, c_ready)) | (~node2(s199, s81)) | m_main_v_state(s81, 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(s81, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s81)))),
% 5.75/5.23 inference(transitivity,[status(thm)],[37379, 37377])).
% 5.75/5.23 tff(37381,plain,
% 5.75/5.23 ((~![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(s199, c_ready)) | (~node2(s199, s81)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s199)))),
% 5.75/5.23 inference(quant_inst,[status(thm)],[])).
% 5.75/5.23 tff(37382,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s81, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s81))),
% 5.75/5.23 inference(modus_ponens,[status(thm)],[37381, 37380])).
% 5.75/5.23 tff(37383,plain,
% 5.75/5.23 ($false),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37382, 166, 37376, 32885, 32872, 37374])).
% 5.75/5.23 tff(37384,plain,((~trans(s199, s81)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.75/5.23 tff(37385,plain,
% 5.75/5.23 (~trans(s199, s81)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37384, 32872])).
% 5.75/5.23 tff(37386,plain,
% 5.75/5.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s88)) | node2(s199, s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s88)) | node2(s199, s88))),
% 5.75/5.23 inference(rewrite,[status(thm)],[])).
% 5.75/5.23 tff(37387,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s88)) | node2(s199, s88))),
% 5.75/5.23 inference(quant_inst,[status(thm)],[])).
% 5.75/5.23 tff(37388,plain,
% 5.75/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s88)) | node2(s199, s88)),
% 5.75/5.23 inference(modus_ponens,[status(thm)],[37387, 37386])).
% 5.75/5.23 tff(37389,plain,
% 5.75/5.23 (node2(s199, s88)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[37388, 11584, 7])).
% 5.75/5.23 tff(37390,plain,
% 5.75/5.23 (always3(s88)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[24373, 11584])).
% 5.75/5.23 tff(37391,plain,
% 5.75/5.23 (~m_main_v_state(s88, c_busy)),
% 5.75/5.23 inference(unit_resolution,[status(thm)],[16899, 145, 37390])).
% 5.75/5.23 tff(37392,plain,
% 5.75/5.23 (((~![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(s88, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s88)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s88, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s88)))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37393,plain,
% 5.76/5.24 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s88, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s88)))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37394,plain,
% 5.76/5.24 (((~![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(s199, c_ready)) | (~node2(s199, s88)) | m_main_v_state(s88, 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(s88, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s88))))),
% 5.76/5.24 inference(monotonicity,[status(thm)],[37393])).
% 5.76/5.24 tff(37395,plain,
% 5.76/5.24 (((~![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(s199, c_ready)) | (~node2(s199, s88)) | m_main_v_state(s88, 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(s88, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s88)))),
% 5.76/5.24 inference(transitivity,[status(thm)],[37394, 37392])).
% 5.76/5.24 tff(37396,plain,
% 5.76/5.24 ((~![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(s199, c_ready)) | (~node2(s199, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s199)))),
% 5.76/5.24 inference(quant_inst,[status(thm)],[])).
% 5.76/5.24 tff(37397,plain,
% 5.76/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s88, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s88))),
% 5.76/5.24 inference(modus_ponens,[status(thm)],[37396, 37395])).
% 5.76/5.24 tff(37398,plain,
% 5.76/5.24 ($false),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[37397, 166, 37391, 32885, 32872, 37389])).
% 5.76/5.24 tff(37399,plain,((~trans(s199, s88)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.76/5.24 tff(37400,plain,
% 5.76/5.24 (~trans(s199, s88)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[37399, 32872])).
% 5.76/5.24 tff(37401,plain,
% 5.76/5.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s98)) | node2(s199, s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s98)) | node2(s199, s98))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37402,plain,
% 5.76/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s98)) | node2(s199, s98))),
% 5.76/5.24 inference(quant_inst,[status(thm)],[])).
% 5.76/5.24 tff(37403,plain,
% 5.76/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s98)) | node2(s199, s98)),
% 5.76/5.24 inference(modus_ponens,[status(thm)],[37402, 37401])).
% 5.76/5.24 tff(37404,plain,
% 5.76/5.24 (node2(s199, s98)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[37403, 11705, 7])).
% 5.76/5.24 tff(37405,plain,
% 5.76/5.24 (always3(s98)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[24397, 11705])).
% 5.76/5.24 tff(37406,plain,
% 5.76/5.24 (~m_main_v_state(s98, c_busy)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[10000, 145, 37405])).
% 5.76/5.24 tff(37407,plain,
% 5.76/5.24 (((~![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(s98, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s98)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s98, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s98)))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37408,plain,
% 5.76/5.24 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s98, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s98)))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37409,plain,
% 5.76/5.24 (((~![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(s199, c_ready)) | (~node2(s199, s98)) | m_main_v_state(s98, 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(s98, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s98))))),
% 5.76/5.24 inference(monotonicity,[status(thm)],[37408])).
% 5.76/5.24 tff(37410,plain,
% 5.76/5.24 (((~![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(s199, c_ready)) | (~node2(s199, s98)) | m_main_v_state(s98, 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(s98, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s98)))),
% 5.76/5.24 inference(transitivity,[status(thm)],[37409, 37407])).
% 5.76/5.24 tff(37411,plain,
% 5.76/5.24 ((~![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(s199, c_ready)) | (~node2(s199, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s199)))),
% 5.76/5.24 inference(quant_inst,[status(thm)],[])).
% 5.76/5.24 tff(37412,plain,
% 5.76/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s98, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s98))),
% 5.76/5.24 inference(modus_ponens,[status(thm)],[37411, 37410])).
% 5.76/5.24 tff(37413,plain,
% 5.76/5.24 ($false),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[37412, 166, 37406, 32885, 32872, 37404])).
% 5.76/5.24 tff(37414,plain,((~trans(s199, s98)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.76/5.24 tff(37415,plain,
% 5.76/5.24 (~trans(s199, s98)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[37414, 32872])).
% 5.76/5.24 tff(37416,plain,
% 5.76/5.24 (~trans(s199, s121)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[33106, 32872])).
% 5.76/5.24 tff(37417,plain,
% 5.76/5.24 (~trans(s199, s124)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[33119, 32872])).
% 5.76/5.24 tff(37418,plain,
% 5.76/5.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s105)) | node2(s199, s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s105)) | node2(s199, s105))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37419,plain,
% 5.76/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s105)) | node2(s199, s105))),
% 5.76/5.24 inference(quant_inst,[status(thm)],[])).
% 5.76/5.24 tff(37420,plain,
% 5.76/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s105)) | node2(s199, s105)),
% 5.76/5.24 inference(modus_ponens,[status(thm)],[37419, 37418])).
% 5.76/5.24 tff(37421,plain,
% 5.76/5.24 (node2(s199, s105)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[37420, 11815, 7])).
% 5.76/5.24 tff(37422,plain,
% 5.76/5.24 (always3(s105)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[24417, 11815])).
% 5.76/5.24 tff(37423,plain,
% 5.76/5.24 (~m_main_v_state(s105, c_busy)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[17405, 145, 37422])).
% 5.76/5.24 tff(37424,plain,
% 5.76/5.24 (((~![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(s105, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s105)))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37425,plain,
% 5.76/5.24 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s105)) | m_main_v_state(s105, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s105, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s105)))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37426,plain,
% 5.76/5.24 (((~![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(s199, c_ready)) | (~node2(s199, s105)) | m_main_v_state(s105, 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(s105, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s105))))),
% 5.76/5.24 inference(monotonicity,[status(thm)],[37425])).
% 5.76/5.24 tff(37427,plain,
% 5.76/5.24 (((~![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(s199, c_ready)) | (~node2(s199, s105)) | m_main_v_state(s105, 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(s105, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s105)))),
% 5.76/5.24 inference(transitivity,[status(thm)],[37426, 37424])).
% 5.76/5.24 tff(37428,plain,
% 5.76/5.24 ((~![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(s199, c_ready)) | (~node2(s199, s105)) | m_main_v_state(s105, c_busy) | (~m_main_v_request(s199)))),
% 5.76/5.24 inference(quant_inst,[status(thm)],[])).
% 5.76/5.24 tff(37429,plain,
% 5.76/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s105, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s105))),
% 5.76/5.24 inference(modus_ponens,[status(thm)],[37428, 37427])).
% 5.76/5.24 tff(37430,plain,
% 5.76/5.24 ($false),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[37429, 166, 37423, 32885, 32872, 37421])).
% 5.76/5.24 tff(37431,plain,((~trans(s199, s105)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.76/5.24 tff(37432,plain,
% 5.76/5.24 (~trans(s199, s105)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[37431, 32872])).
% 5.76/5.24 tff(37433,plain,
% 5.76/5.24 (~trans(s199, s123)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[33134, 32872])).
% 5.76/5.24 tff(37434,plain,
% 5.76/5.24 (~trans(s199, s118)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[33149, 32872])).
% 5.76/5.24 tff(37435,plain,
% 5.76/5.24 (~trans(s199, s150)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[33162, 32872])).
% 5.76/5.24 tff(37436,plain,
% 5.76/5.24 (~trans(s199, s153)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[33176, 32872])).
% 5.76/5.24 tff(37437,plain,
% 5.76/5.24 (~trans(s199, s151)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[33189, 32872])).
% 5.76/5.24 tff(37438,plain,
% 5.76/5.24 (~trans(s199, s133)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[33209, 32872])).
% 5.76/5.24 tff(37439,plain,
% 5.76/5.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s94)) | node2(s199, s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s94)) | node2(s199, s94))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37440,plain,
% 5.76/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s94)) | node2(s199, s94))),
% 5.76/5.24 inference(quant_inst,[status(thm)],[])).
% 5.76/5.24 tff(37441,plain,
% 5.76/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s94)) | node2(s199, s94)),
% 5.76/5.24 inference(modus_ponens,[status(thm)],[37440, 37439])).
% 5.76/5.24 tff(37442,plain,
% 5.76/5.24 (node2(s199, s94)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[37441, 11914, 7])).
% 5.76/5.24 tff(37443,plain,
% 5.76/5.24 (always3(s94)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[24442, 11914])).
% 5.76/5.24 tff(37444,plain,
% 5.76/5.24 (~m_main_v_state(s94, c_busy)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[10082, 145, 37443])).
% 5.76/5.24 tff(37445,plain,
% 5.76/5.24 (((~![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(s94, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s94)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s94, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s94)))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37446,plain,
% 5.76/5.24 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s94)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s94, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s94)))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37447,plain,
% 5.76/5.24 (((~![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(s199, c_ready)) | (~node2(s199, s94)) | m_main_v_state(s94, 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(s94, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s94))))),
% 5.76/5.24 inference(monotonicity,[status(thm)],[37446])).
% 5.76/5.24 tff(37448,plain,
% 5.76/5.24 (((~![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(s199, c_ready)) | (~node2(s199, s94)) | m_main_v_state(s94, 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(s94, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s94)))),
% 5.76/5.24 inference(transitivity,[status(thm)],[37447, 37445])).
% 5.76/5.24 tff(37449,plain,
% 5.76/5.24 ((~![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(s199, c_ready)) | (~node2(s199, s94)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s199)))),
% 5.76/5.24 inference(quant_inst,[status(thm)],[])).
% 5.76/5.24 tff(37450,plain,
% 5.76/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s94, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s94))),
% 5.76/5.24 inference(modus_ponens,[status(thm)],[37449, 37448])).
% 5.76/5.24 tff(37451,plain,
% 5.76/5.24 ($false),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[37450, 166, 37444, 32885, 32872, 37442])).
% 5.76/5.24 tff(37452,plain,((~trans(s199, s94)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.76/5.24 tff(37453,plain,
% 5.76/5.24 (~trans(s199, s94)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[37452, 32872])).
% 5.76/5.24 tff(37454,plain,
% 5.76/5.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s97)) | node2(s199, s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s97)) | node2(s199, s97))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37455,plain,
% 5.76/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s97)) | node2(s199, s97))),
% 5.76/5.24 inference(quant_inst,[status(thm)],[])).
% 5.76/5.24 tff(37456,plain,
% 5.76/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s97)) | node2(s199, s97)),
% 5.76/5.24 inference(modus_ponens,[status(thm)],[37455, 37454])).
% 5.76/5.24 tff(37457,plain,
% 5.76/5.24 (node2(s199, s97)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[37456, 12002, 7])).
% 5.76/5.24 tff(37458,plain,
% 5.76/5.24 (always3(s97)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[24456, 12002])).
% 5.76/5.24 tff(37459,plain,
% 5.76/5.24 (~m_main_v_state(s97, c_busy)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[10016, 145, 37458])).
% 5.76/5.24 tff(37460,plain,
% 5.76/5.24 (((~![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(s97, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s97)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s97, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s97)))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37461,plain,
% 5.76/5.24 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s97)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s97, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s97)))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37462,plain,
% 5.76/5.24 (((~![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(s199, c_ready)) | (~node2(s199, s97)) | m_main_v_state(s97, 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(s97, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s97))))),
% 5.76/5.24 inference(monotonicity,[status(thm)],[37461])).
% 5.76/5.24 tff(37463,plain,
% 5.76/5.24 (((~![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(s199, c_ready)) | (~node2(s199, s97)) | m_main_v_state(s97, 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(s97, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s97)))),
% 5.76/5.24 inference(transitivity,[status(thm)],[37462, 37460])).
% 5.76/5.24 tff(37464,plain,
% 5.76/5.24 ((~![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(s199, c_ready)) | (~node2(s199, s97)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s199)))),
% 5.76/5.24 inference(quant_inst,[status(thm)],[])).
% 5.76/5.24 tff(37465,plain,
% 5.76/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s97, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s97))),
% 5.76/5.24 inference(modus_ponens,[status(thm)],[37464, 37463])).
% 5.76/5.24 tff(37466,plain,
% 5.76/5.24 ($false),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[37465, 166, 37459, 32885, 32872, 37457])).
% 5.76/5.24 tff(37467,plain,((~trans(s199, s97)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.76/5.24 tff(37468,plain,
% 5.76/5.24 (~trans(s199, s97)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[37467, 32872])).
% 5.76/5.24 tff(37469,plain,
% 5.76/5.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s92)) | node2(s199, s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s92)) | node2(s199, s92))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37470,plain,
% 5.76/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s92)) | node2(s199, s92))),
% 5.76/5.24 inference(quant_inst,[status(thm)],[])).
% 5.76/5.24 tff(37471,plain,
% 5.76/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s92)) | node2(s199, s92)),
% 5.76/5.24 inference(modus_ponens,[status(thm)],[37470, 37469])).
% 5.76/5.24 tff(37472,plain,
% 5.76/5.24 (node2(s199, s92)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[37471, 13058, 7])).
% 5.76/5.24 tff(37473,plain,
% 5.76/5.24 (((~![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(s92, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s92)))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37474,plain,
% 5.76/5.24 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s92, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s92)))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37475,plain,
% 5.76/5.24 (((~![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(s199, c_ready)) | (~node2(s199, s92)) | m_main_v_state(s92, 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(s92, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s92))))),
% 5.76/5.24 inference(monotonicity,[status(thm)],[37474])).
% 5.76/5.24 tff(37476,plain,
% 5.76/5.24 (((~![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(s199, c_ready)) | (~node2(s199, s92)) | m_main_v_state(s92, 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(s92, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s92)))),
% 5.76/5.24 inference(transitivity,[status(thm)],[37475, 37473])).
% 5.76/5.24 tff(37477,plain,
% 5.76/5.24 ((~![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(s199, c_ready)) | (~node2(s199, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s199)))),
% 5.76/5.24 inference(quant_inst,[status(thm)],[])).
% 5.76/5.24 tff(37478,plain,
% 5.76/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s92, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s92))),
% 5.76/5.24 inference(modus_ponens,[status(thm)],[37477, 37476])).
% 5.76/5.24 tff(37479,plain,
% 5.76/5.24 ($false),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[37478, 166, 35821, 32885, 32872, 37472])).
% 5.76/5.24 tff(37480,plain,((~trans(s199, s92)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.76/5.24 tff(37481,plain,
% 5.76/5.24 (~trans(s199, s92)),
% 5.76/5.24 inference(unit_resolution,[status(thm)],[37480, 32872])).
% 5.76/5.24 tff(37482,plain,
% 5.76/5.24 (((~![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(s78, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s78)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s78, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s78)))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37483,plain,
% 5.76/5.24 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s78)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s78, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s78)))),
% 5.76/5.24 inference(rewrite,[status(thm)],[])).
% 5.76/5.24 tff(37484,plain,
% 5.76/5.24 (((~![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(s199, c_ready)) | (~node2(s199, s78)) | m_main_v_state(s78, 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(s78, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s78))))),
% 5.76/5.24 inference(monotonicity,[status(thm)],[37483])).
% 5.76/5.24 tff(37485,plain,
% 5.76/5.24 (((~![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(s199, c_ready)) | (~node2(s199, s78)) | m_main_v_state(s78, 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(s78, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s78)))),
% 5.76/5.24 inference(transitivity,[status(thm)],[37484, 37482])).
% 5.76/5.24 tff(37486,plain,
% 5.76/5.24 ((~![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(s199, c_ready)) | (~node2(s199, s78)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s199)))),
% 5.76/5.25 inference(quant_inst,[status(thm)],[])).
% 5.76/5.25 tff(37487,plain,
% 5.76/5.25 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s78, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s78))),
% 5.76/5.25 inference(modus_ponens,[status(thm)],[37486, 37485])).
% 5.76/5.25 tff(37488,plain,
% 5.76/5.25 ($false),
% 5.76/5.25 inference(unit_resolution,[status(thm)],[37487, 166, 31905, 32885, 32872, 31904])).
% 5.76/5.25 tff(37489,plain,((~trans(s199, s78)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.76/5.25 tff(37490,plain,
% 5.76/5.25 (~trans(s199, s78)),
% 5.76/5.25 inference(unit_resolution,[status(thm)],[37489, 32872])).
% 5.76/5.25 tff(37491,plain,
% 5.76/5.25 (~trans(s199, s113)),
% 5.76/5.25 inference(unit_resolution,[status(thm)],[33244, 32872])).
% 5.76/5.25 tff(37492,plain,
% 5.76/5.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s100)) | node2(s199, s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s100)) | node2(s199, s100))),
% 5.76/5.25 inference(rewrite,[status(thm)],[])).
% 5.76/5.25 tff(37493,plain,
% 5.76/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s100)) | node2(s199, s100))),
% 5.76/5.25 inference(quant_inst,[status(thm)],[])).
% 5.76/5.25 tff(37494,plain,
% 5.76/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s100)) | node2(s199, s100)),
% 5.76/5.25 inference(modus_ponens,[status(thm)],[37493, 37492])).
% 5.76/5.25 tff(37495,plain,
% 5.76/5.25 (node2(s199, s100)),
% 5.76/5.25 inference(unit_resolution,[status(thm)],[37494, 13289, 7])).
% 5.76/5.25 tff(37496,plain,
% 5.76/5.25 (always3(s100)),
% 5.76/5.25 inference(unit_resolution,[status(thm)],[24753, 13289])).
% 5.76/5.25 tff(37497,plain,
% 5.76/5.25 (~m_main_v_state(s100, c_busy)),
% 5.76/5.25 inference(unit_resolution,[status(thm)],[9942, 145, 37496])).
% 5.76/5.25 tff(37498,plain,
% 5.76/5.25 (((~![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(s100, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s100)))),
% 5.76/5.25 inference(rewrite,[status(thm)],[])).
% 5.76/5.25 tff(37499,plain,
% 5.76/5.25 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s100)) | m_main_v_state(s100, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s100, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s100)))),
% 5.76/5.25 inference(rewrite,[status(thm)],[])).
% 5.76/5.25 tff(37500,plain,
% 5.76/5.25 (((~![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(s199, c_ready)) | (~node2(s199, s100)) | m_main_v_state(s100, 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(s100, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s100))))),
% 5.76/5.25 inference(monotonicity,[status(thm)],[37499])).
% 5.76/5.25 tff(37501,plain,
% 5.76/5.25 (((~![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(s199, c_ready)) | (~node2(s199, s100)) | m_main_v_state(s100, 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(s100, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s100)))),
% 5.76/5.25 inference(transitivity,[status(thm)],[37500, 37498])).
% 5.76/5.25 tff(37502,plain,
% 5.76/5.25 ((~![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(s199, c_ready)) | (~node2(s199, s100)) | m_main_v_state(s100, c_busy) | (~m_main_v_request(s199)))),
% 5.76/5.25 inference(quant_inst,[status(thm)],[])).
% 5.76/5.25 tff(37503,plain,
% 5.76/5.25 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s100, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s100))),
% 5.76/5.25 inference(modus_ponens,[status(thm)],[37502, 37501])).
% 5.76/5.25 tff(37504,plain,
% 5.76/5.25 ($false),
% 5.76/5.25 inference(unit_resolution,[status(thm)],[37503, 166, 37497, 32885, 32872, 37495])).
% 5.76/5.25 tff(37505,plain,((~trans(s199, s100)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.76/5.25 tff(37506,plain,
% 5.76/5.25 (~trans(s199, s100)),
% 5.76/5.25 inference(unit_resolution,[status(thm)],[37505, 32872])).
% 5.76/5.25 tff(37507,plain,
% 5.76/5.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s101)) | node2(s199, s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s101)) | node2(s199, s101))),
% 5.76/5.25 inference(rewrite,[status(thm)],[])).
% 5.76/5.25 tff(37508,plain,
% 5.76/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s101)) | node2(s199, s101))),
% 5.76/5.25 inference(quant_inst,[status(thm)],[])).
% 5.76/5.25 tff(37509,plain,
% 5.76/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s101)) | node2(s199, s101)),
% 5.76/5.25 inference(modus_ponens,[status(thm)],[37508, 37507])).
% 5.76/5.25 tff(37510,plain,
% 5.76/5.25 (node2(s199, s101)),
% 5.76/5.25 inference(unit_resolution,[status(thm)],[37509, 12673, 7])).
% 5.76/5.25 tff(37511,plain,
% 5.76/5.25 (always3(s101)),
% 5.76/5.25 inference(unit_resolution,[status(thm)],[24602, 12673])).
% 5.76/5.25 tff(37512,plain,
% 5.76/5.25 (~m_main_v_state(s101, c_busy)),
% 5.76/5.25 inference(unit_resolution,[status(thm)],[17109, 145, 37511])).
% 5.76/5.25 tff(37513,plain,
% 5.76/5.25 (((~![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(s101, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, 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_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s101)))),
% 5.76/5.25 inference(rewrite,[status(thm)],[])).
% 5.76/5.25 tff(37514,plain,
% 5.76/5.25 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s101)) | m_main_v_state(s101, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s101, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s101)))),
% 5.76/5.25 inference(rewrite,[status(thm)],[])).
% 5.76/5.25 tff(37515,plain,
% 5.76/5.25 (((~![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(s199, c_ready)) | (~node2(s199, s101)) | m_main_v_state(s101, 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(s101, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s101))))),
% 5.76/5.25 inference(monotonicity,[status(thm)],[37514])).
% 5.76/5.25 tff(37516,plain,
% 5.76/5.25 (((~![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(s199, c_ready)) | (~node2(s199, s101)) | m_main_v_state(s101, 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(s101, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s101)))),
% 5.76/5.25 inference(transitivity,[status(thm)],[37515, 37513])).
% 5.76/5.25 tff(37517,plain,
% 5.76/5.25 ((~![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(s199, c_ready)) | (~node2(s199, s101)) | m_main_v_state(s101, c_busy) | (~m_main_v_request(s199)))),
% 5.76/5.25 inference(quant_inst,[status(thm)],[])).
% 5.76/5.25 tff(37518,plain,
% 5.76/5.25 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s101, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s101))),
% 5.76/5.25 inference(modus_ponens,[status(thm)],[37517, 37516])).
% 5.76/5.25 tff(37519,plain,
% 5.76/5.25 ($false),
% 5.76/5.25 inference(unit_resolution,[status(thm)],[37518, 166, 37512, 32885, 32872, 37510])).
% 5.76/5.25 tff(37520,plain,((~trans(s199, s101)) | (~m_main_v_request(s199))), inference(lemma,lemma(discharge,[]))).
% 5.76/5.25 tff(37521,plain,
% 5.76/5.25 (~trans(s199, s101)),
% 5.76/5.25 inference(unit_resolution,[status(thm)],[37520, 32872])).
% 5.76/5.25 tff(37522,plain,
% 5.76/5.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s93)) | node2(s199, s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s93)) | node2(s199, s93))),
% 5.76/5.25 inference(rewrite,[status(thm)],[])).
% 5.76/5.25 tff(37523,plain,
% 5.76/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s93)) | node2(s199, s93))),
% 5.76/5.25 inference(quant_inst,[status(thm)],[])).
% 5.76/5.25 tff(37524,plain,
% 5.76/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s93)) | node2(s199, s93)),
% 5.76/5.25 inference(modus_ponens,[status(thm)],[37523, 37522])).
% 5.76/5.25 tff(37525,plain,
% 5.76/5.25 (node2(s199, s93)),
% 5.76/5.25 inference(unit_resolution,[status(thm)],[37524, 11364, 7])).
% 5.76/5.25 tff(37526,plain,
% 5.76/5.25 (~m_main_v_state(s93, c_busy)),
% 5.76/5.25 inference(unit_resolution,[status(thm)],[10098, 145, 32757])).
% 5.76/5.25 tff(37527,plain,
% 5.76/5.25 (((~![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(s93, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s93)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s93, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s93)))),
% 5.76/5.25 inference(rewrite,[status(thm)],[])).
% 5.76/5.25 tff(37528,plain,
% 5.76/5.25 (((~m_main_v_state(s199, c_ready)) | (~node2(s199, s93)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s199))) <=> (m_main_v_state(s93, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s93)))),
% 5.76/5.25 inference(rewrite,[status(thm)],[])).
% 5.76/5.25 tff(37529,plain,
% 5.76/5.25 (((~![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(s199, c_ready)) | (~node2(s199, s93)) | m_main_v_state(s93, 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(s93, c_busy) | (~m_main_v_state(s199, c_ready)) | (~m_main_v_request(s199)) | (~node2(s199, s93))))),
% 5.76/5.25 inference(monotonicity,[status(thm)],[37528])).
% 5.76/5.25 tff(37530,plain,
% 5.76/5.25 (((~![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(s199, c_ready)) | (~node2(s199, s93)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s199)))) <